# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(free_g6_algstr_0, axiom, ![X1, X2, X3, X4, X5]:((((((((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&v1_funct_1(X3))&v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&m1_subset_1(X4,X1))&m1_subset_1(X5,X1))=>![X6, X7, X8, X9, X10]:(g6_algstr_0(X1,X2,X3,X4,X5)=g6_algstr_0(X6,X7,X8,X9,X10)=>((((X1=X6&X2=X7)&X3=X8)&X4=X9)&X5=X10))), file('e_trans1/e_trans1__t30_e_trans1', free_g6_algstr_0)).
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)))), file('e_trans1/e_trans1__t30_e_trans1', dt_k11_binop_2)).
fof(dt_k10_subset_1, axiom, ![X1, X2]:m1_subset_1(k10_subset_1(X1,X2),X2), file('e_trans1/e_trans1__t30_e_trans1', dt_k10_subset_1)).
fof(d5_vectsp_1, axiom, k2_vectsp_1=g6_algstr_0(k1_numbers,k9_binop_2,k11_binop_2,k10_subset_1(np__1,k1_numbers),k10_subset_1(k5_numbers,k1_numbers)), file('e_trans1/e_trans1__t30_e_trans1', d5_vectsp_1)).
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)))), file('e_trans1/e_trans1__t30_e_trans1', dt_k9_binop_2)).
fof(abstractness_v36_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(v36_algstr_0(X1)=>X1=g6_algstr_0(u1_struct_0(X1),u1_algstr_0(X1),u2_algstr_0(X1),u3_struct_0(X1),u2_struct_0(X1)))), file('e_trans1/e_trans1__t30_e_trans1', abstractness_v36_algstr_0)).
fof(dt_k2_vectsp_1, axiom, (v36_algstr_0(k2_vectsp_1)&l6_algstr_0(k2_vectsp_1)), file('e_trans1/e_trans1__t30_e_trans1', dt_k2_vectsp_1)).
fof(rc1_polynom5, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))=>?[X2]:(((((((((m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))&v1_relat_1(X2))&v4_relat_1(X2,k4_ordinal1))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&~(v1_xboole_0(X2)))&v1_partfun1(X2,k4_ordinal1))&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&v1_polynom5(X2,X1))), file('e_trans1/e_trans1__t30_e_trans1', rc1_polynom5)).
fof(dt_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)=>((v1_funct_1(X2)&v1_finseq_1(X2))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X1))))), file('e_trans1/e_trans1__t30_e_trans1', dt_m2_finseq_1)).
fof(dt_k6_e_trans1, axiom, ![X1]:(m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>m2_finseq_1(k6_e_trans1(X1),u1_struct_0(k12_polynom3(k2_vectsp_1)))), file('e_trans1/e_trans1__t30_e_trans1', dt_k6_e_trans1)).
fof(fc8_ratfunc1, axiom, ![X1]:((((((~(v6_struct_0(X1))&v13_algstr_0(X1))&v5_vectsp_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&~(v6_struct_0(k12_polynom3(X1))))&v36_algstr_0(k12_polynom3(X1)))), file('e_trans1/e_trans1__t30_e_trans1', fc8_ratfunc1)).
fof(dt_m1_finseq_1, axiom, ![X1, X2]:(m1_finseq_1(X2,X1)=>((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))), file('e_trans1/e_trans1__t30_e_trans1', dt_m1_finseq_1)).
fof(redefinition_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)<=>m1_finseq_1(X2,X1)), file('e_trans1/e_trans1__t30_e_trans1', redefinition_m2_finseq_1)).
fof(fc4_vectsp_1, axiom, (~(v2_struct_0(k2_vectsp_1))&v36_algstr_0(k2_vectsp_1)), file('e_trans1/e_trans1__t30_e_trans1', fc4_vectsp_1)).
fof(t30_e_trans1, conjecture, ![X1]:(m1_subset_1(X1,u1_struct_0(k1_int_3))=>![X2]:(m1_subset_1(X2,u1_struct_0(k2_vectsp_1))=>![X3]:(m2_finseq_1(X3,u1_struct_0(k12_polynom3(k1_int_3)))=>(X2=X1=>k1_funct_1(k5_polydiff(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),X3)))),X2)=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,X3,X1)))))), file('e_trans1/e_trans1__t30_e_trans1', t30_e_trans1)).
fof(dt_k7_e_trans1, axiom, ![X1, X2, X3]:((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))&m1_finseq_1(X2,u1_struct_0(k12_polynom3(X1))))&m1_subset_1(X3,u1_struct_0(X1)))=>m2_finseq_1(k7_e_trans1(X1,X2,X3),u1_struct_0(X1))), file('e_trans1/e_trans1__t30_e_trans1', dt_k7_e_trans1)).
fof(dt_k4_rlvect_1, axiom, ![X1, X2]:((((((~(v2_struct_0(X1))&l2_algstr_0(X1))&v1_relat_1(X2))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&v1_finseq_1(X2))=>m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))), file('e_trans1/e_trans1__t30_e_trans1', dt_k4_rlvect_1)).
fof(cc2_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v4_relat_1(X3,X1)&v5_relat_1(X3,X2))), file('e_trans1/e_trans1__t30_e_trans1', cc2_relset_1)).
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)), file('e_trans1/e_trans1__t30_e_trans1', fc8_vectsp_1)).
fof(cc8_relat_1, axiom, ![X1]:(v1_xboole_0(X1)=>![X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>((v1_xboole_0(X2)&v1_relat_1(X2))&v5_relat_1(X2,X1)))), file('e_trans1/e_trans1__t30_e_trans1', cc8_relat_1)).
fof(fc7_vectsp_1, axiom, (v36_algstr_0(k2_vectsp_1)&v1_group_1(k2_vectsp_1)), file('e_trans1/e_trans1__t30_e_trans1', fc7_vectsp_1)).
fof(cc8_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v1_xreal_0(X2))), file('e_trans1/e_trans1__t30_e_trans1', cc8_membered)).
fof(d2_basel_2, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))=>k2_basel_2(X1,X2)=X2)), file('e_trans1/e_trans1__t30_e_trans1', d2_basel_2)).
fof(dt_k2_basel_2, axiom, ![X1, X2]:(((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(k12_polynom3(X1))))=>(((v1_funct_1(k2_basel_2(X1,X2))&v1_funct_2(k2_basel_2(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k2_basel_2(X1,X2),X1))&m1_subset_1(k2_basel_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), file('e_trans1/e_trans1__t30_e_trans1', dt_k2_basel_2)).
fof(d13_polynom5, axiom, ![X1]:(((~(v2_struct_0(X1))&v4_vectsp_1(X1))&l6_algstr_0(X1))=>![X2]:((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X3]:(((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>(X3=k10_polynom5(X1,X2)<=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),X3,X4)=k2_polynom4(X1,X2,X4)))))), file('e_trans1/e_trans1__t30_e_trans1', d13_polynom5)).
fof(dt_k10_polynom5, axiom, ![X1, X2]:(((((((~(v2_struct_0(X1))&v4_vectsp_1(X1))&l6_algstr_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>((v1_funct_1(k10_polynom5(X1,X2))&v1_funct_2(k10_polynom5(X1,X2),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k10_polynom5(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), file('e_trans1/e_trans1__t30_e_trans1', dt_k10_polynom5)).
fof(cc3_membered, axiom, ![X1]:(v4_membered(X1)=>v3_membered(X1)), file('e_trans1/e_trans1__t30_e_trans1', cc3_membered)).
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)), file('e_trans1/e_trans1__t30_e_trans1', fc4_int_3)).
fof(fc1_int_3, axiom, (~(v2_struct_0(k1_int_3))&v36_algstr_0(k1_int_3)), file('e_trans1/e_trans1__t30_e_trans1', fc1_int_3)).
fof(t10_algnum_1, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_group_1(X2))&l6_algstr_0(X2))=>![X3]:(m2_finseq_1(X3,u1_struct_0(X1))=>![X4]:(m2_finseq_1(X4,u1_struct_0(X2))=>((m1_c0sp1(X1,X2)&X3=X4)=>k9_struct_0(k4_rlvect_1(X1,X3),X2)=k4_rlvect_1(X2,X4)))))), file('e_trans1/e_trans1__t30_e_trans1', t10_algnum_1)).
fof(t28_e_trans1, axiom, ![X1]:(m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>![X2]:(m1_subset_1(X2,u1_struct_0(k1_int_3))=>![X3]:(m1_subset_1(X3,u1_struct_0(k2_vectsp_1))=>(X2=X3=>k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X3)=k7_e_trans1(k1_int_3,X1,X2))))), file('e_trans1/e_trans1__t30_e_trans1', t28_e_trans1)).
fof(t29_e_trans1, axiom, ![X1]:(m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))=k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),X1))), file('e_trans1/e_trans1__t30_e_trans1', t29_e_trans1)).
fof(redefinition_k3_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(v1_xboole_0(X1))&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), file('e_trans1/e_trans1__t30_e_trans1', redefinition_k3_funct_2)).
fof(cc2_membered, axiom, ![X1]:(v5_membered(X1)=>v4_membered(X1)), file('e_trans1/e_trans1__t30_e_trans1', cc2_membered)).
fof(t26_e_trans1, axiom, ![X1]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>![X2]:(m2_finseq_1(X2,u1_struct_0(k12_polynom3(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_polynom4(X1,k2_basel_2(X1,k4_rlvect_1(k12_polynom3(X1),X2)),X3)=k4_rlvect_1(X1,k7_e_trans1(X1,X2,X3))))), file('e_trans1/e_trans1__t30_e_trans1', t26_e_trans1)).
fof(fc3_int_3, axiom, v4_vectsp_1(k1_int_3), file('e_trans1/e_trans1__t30_e_trans1', fc3_int_3)).
fof(dt_k1_int_3, axiom, l6_algstr_0(k1_int_3), file('e_trans1/e_trans1__t30_e_trans1', dt_k1_int_3)).
fof(fc6_vectsp_1, axiom, (v36_algstr_0(k2_vectsp_1)&v4_vectsp_1(k2_vectsp_1)), file('e_trans1/e_trans1__t30_e_trans1', fc6_vectsp_1)).
fof(rd1_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>k10_subset_1(X1,k1_numbers)=X1), file('e_trans1/e_trans1__t30_e_trans1', rd1_xreal_0)).
fof(fc2_int_3, axiom, v5_membered(u1_struct_0(k1_int_3)), file('e_trans1/e_trans1__t30_e_trans1', fc2_int_3)).
fof(d6_polydiff, axiom, ![X1]:((((v1_funct_1(X1)&v1_funct_2(X1,k4_ordinal1,u1_struct_0(k2_vectsp_1)))&v1_polynom1(X1,k2_vectsp_1))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1)))))=>k5_polydiff(X1)=k10_polynom5(k2_vectsp_1,X1)), file('e_trans1/e_trans1__t30_e_trans1', d6_polydiff)).
fof(d22_struct_0, axiom, ![X1, X2]:(l1_struct_0(X2)=>k9_struct_0(X1,X2)=k10_subset_1(X1,u1_struct_0(X2))), file('e_trans1/e_trans1__t30_e_trans1', d22_struct_0)).
fof(t5_liouvil2, axiom, m1_c0sp1(k1_int_3,k2_vectsp_1), file('e_trans1/e_trans1__t30_e_trans1', t5_liouvil2)).
fof(dt_k12_polynom3, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), file('e_trans1/e_trans1__t30_e_trans1', dt_k12_polynom3)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('e_trans1/e_trans1__t30_e_trans1', dt_l6_algstr_0)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('e_trans1/e_trans1__t30_e_trans1', dt_l2_struct_0)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('e_trans1/e_trans1__t30_e_trans1', dt_l2_algstr_0)).
fof(c_0_47, plain, ![X130, X131, X132, X133, X134, X135, X136, X137, X138, X139]:(((((X130=X135|g6_algstr_0(X130,X131,X132,X133,X134)!=g6_algstr_0(X135,X136,X137,X138,X139)|(~v1_funct_1(X131)|~v1_funct_2(X131,k2_zfmisc_1(X130,X130),X130)|~m1_subset_1(X131,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X130,X130),X130)))|~v1_funct_1(X132)|~v1_funct_2(X132,k2_zfmisc_1(X130,X130),X130)|~m1_subset_1(X132,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X130,X130),X130)))|~m1_subset_1(X133,X130)|~m1_subset_1(X134,X130)))&(X131=X136|g6_algstr_0(X130,X131,X132,X133,X134)!=g6_algstr_0(X135,X136,X137,X138,X139)|(~v1_funct_1(X131)|~v1_funct_2(X131,k2_zfmisc_1(X130,X130),X130)|~m1_subset_1(X131,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X130,X130),X130)))|~v1_funct_1(X132)|~v1_funct_2(X132,k2_zfmisc_1(X130,X130),X130)|~m1_subset_1(X132,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X130,X130),X130)))|~m1_subset_1(X133,X130)|~m1_subset_1(X134,X130))))&(X132=X137|g6_algstr_0(X130,X131,X132,X133,X134)!=g6_algstr_0(X135,X136,X137,X138,X139)|(~v1_funct_1(X131)|~v1_funct_2(X131,k2_zfmisc_1(X130,X130),X130)|~m1_subset_1(X131,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X130,X130),X130)))|~v1_funct_1(X132)|~v1_funct_2(X132,k2_zfmisc_1(X130,X130),X130)|~m1_subset_1(X132,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X130,X130),X130)))|~m1_subset_1(X133,X130)|~m1_subset_1(X134,X130))))&(X133=X138|g6_algstr_0(X130,X131,X132,X133,X134)!=g6_algstr_0(X135,X136,X137,X138,X139)|(~v1_funct_1(X131)|~v1_funct_2(X131,k2_zfmisc_1(X130,X130),X130)|~m1_subset_1(X131,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X130,X130),X130)))|~v1_funct_1(X132)|~v1_funct_2(X132,k2_zfmisc_1(X130,X130),X130)|~m1_subset_1(X132,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X130,X130),X130)))|~m1_subset_1(X133,X130)|~m1_subset_1(X134,X130))))&(X134=X139|g6_algstr_0(X130,X131,X132,X133,X134)!=g6_algstr_0(X135,X136,X137,X138,X139)|(~v1_funct_1(X131)|~v1_funct_2(X131,k2_zfmisc_1(X130,X130),X130)|~m1_subset_1(X131,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X130,X130),X130)))|~v1_funct_1(X132)|~v1_funct_2(X132,k2_zfmisc_1(X130,X130),X130)|~m1_subset_1(X132,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X130,X130),X130)))|~m1_subset_1(X133,X130)|~m1_subset_1(X134,X130)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g6_algstr_0])])])])).
cnf(c_0_48, plain, (X1=X2|g6_algstr_0(X3,X4,X5,X6,X1)!=g6_algstr_0(X7,X8,X9,X10,X2)|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X5)|~v1_funct_2(X5,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~m1_subset_1(X6,X3)|~m1_subset_1(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_49, plain, (m1_subset_1(k11_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)))), inference(split_conjunct,[status(thm)],[dt_k11_binop_2])).
cnf(c_0_50, plain, (v1_funct_2(k11_binop_2,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)), inference(split_conjunct,[status(thm)],[dt_k11_binop_2])).
cnf(c_0_51, plain, (v1_funct_1(k11_binop_2)), inference(split_conjunct,[status(thm)],[dt_k11_binop_2])).
fof(c_0_52, plain, ![X110, X111]:m1_subset_1(k10_subset_1(X110,X111),X111), inference(variable_rename,[status(thm)],[dt_k10_subset_1])).
cnf(c_0_53, plain, (X1=X2|g6_algstr_0(k1_numbers,X3,k11_binop_2,X4,X1)!=g6_algstr_0(X5,X6,X7,X8,X2)|~v1_funct_2(X3,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)))|~m1_subset_1(X4,k1_numbers)|~m1_subset_1(X1,k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_51])])).
cnf(c_0_54, plain, (k2_vectsp_1=g6_algstr_0(k1_numbers,k9_binop_2,k11_binop_2,k10_subset_1(np__1,k1_numbers),k10_subset_1(k5_numbers,k1_numbers))), inference(split_conjunct,[status(thm)],[d5_vectsp_1])).
cnf(c_0_55, plain, (v1_funct_2(k9_binop_2,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)), inference(split_conjunct,[status(thm)],[dt_k9_binop_2])).
cnf(c_0_56, plain, (v1_funct_1(k9_binop_2)), inference(split_conjunct,[status(thm)],[dt_k9_binop_2])).
cnf(c_0_57, plain, (m1_subset_1(k9_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)))), inference(split_conjunct,[status(thm)],[dt_k9_binop_2])).
cnf(c_0_58, plain, (m1_subset_1(k10_subset_1(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_52])).
fof(c_0_59, plain, ![X88]:(~l6_algstr_0(X88)|(~v36_algstr_0(X88)|X88=g6_algstr_0(u1_struct_0(X88),u1_algstr_0(X88),u2_algstr_0(X88),u3_struct_0(X88),u2_struct_0(X88)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v36_algstr_0])])).
cnf(c_0_60, plain, (X1=X2|g6_algstr_0(X3,X4,X5,X1,X6)!=g6_algstr_0(X7,X8,X9,X2,X10)|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X5)|~v1_funct_2(X5,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~m1_subset_1(X1,X3)|~m1_subset_1(X6,X3)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_61, plain, (k10_subset_1(k5_numbers,k1_numbers)=X1|g6_algstr_0(X2,X3,X4,X5,X1)!=k2_vectsp_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_58])])).
cnf(c_0_62, plain, (X1=g6_algstr_0(u1_struct_0(X1),u1_algstr_0(X1),u2_algstr_0(X1),u3_struct_0(X1),u2_struct_0(X1))|~l6_algstr_0(X1)|~v36_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_63, plain, (v36_algstr_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[dt_k2_vectsp_1])).
cnf(c_0_64, plain, (l6_algstr_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[dt_k2_vectsp_1])).
cnf(c_0_65, plain, (X1=X2|g6_algstr_0(k1_numbers,X3,k11_binop_2,X1,X4)!=g6_algstr_0(X5,X6,X7,X2,X8)|~v1_funct_2(X3,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)))|~m1_subset_1(X4,k1_numbers)|~m1_subset_1(X1,k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_49]), c_0_50]), c_0_51])])).
cnf(c_0_66, plain, (u2_struct_0(k2_vectsp_1)=k10_subset_1(k5_numbers,k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62])]), c_0_63]), c_0_64])])).
cnf(c_0_67, plain, (X1=X2|g6_algstr_0(X3,X4,X1,X5,X6)!=g6_algstr_0(X7,X8,X2,X9,X10)|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~m1_subset_1(X5,X3)|~m1_subset_1(X6,X3)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_68, plain, (k10_subset_1(np__1,k1_numbers)=X1|g6_algstr_0(X2,X3,X4,X1,X5)!=k2_vectsp_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_58])])).
cnf(c_0_69, plain, (g6_algstr_0(u1_struct_0(k2_vectsp_1),u1_algstr_0(k2_vectsp_1),u2_algstr_0(k2_vectsp_1),u3_struct_0(k2_vectsp_1),k10_subset_1(k5_numbers,k1_numbers))=k2_vectsp_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_66]), c_0_63]), c_0_64])])).
cnf(c_0_70, plain, (X1=X2|g6_algstr_0(k1_numbers,k9_binop_2,X1,X3,X4)!=g6_algstr_0(X5,X6,X2,X7,X8)|~v1_funct_2(X1,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)))|~m1_subset_1(X4,k1_numbers)|~m1_subset_1(X3,k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_57]), c_0_55]), c_0_56])])).
cnf(c_0_71, plain, (u3_struct_0(k2_vectsp_1)=k10_subset_1(np__1,k1_numbers)), inference(spm,[status(thm)],[c_0_68, c_0_69])).
cnf(c_0_72, plain, (X1=X2|g6_algstr_0(X3,X1,X4,X5,X6)!=g6_algstr_0(X7,X2,X8,X9,X10)|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~m1_subset_1(X5,X3)|~m1_subset_1(X6,X3)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_73, plain, (k11_binop_2=X1|g6_algstr_0(X2,X3,X1,X4,X5)!=k2_vectsp_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_54]), c_0_50]), c_0_51]), c_0_49]), c_0_58]), c_0_58])])).
cnf(c_0_74, plain, (g6_algstr_0(u1_struct_0(k2_vectsp_1),u1_algstr_0(k2_vectsp_1),u2_algstr_0(k2_vectsp_1),k10_subset_1(np__1,k1_numbers),k10_subset_1(k5_numbers,k1_numbers))=k2_vectsp_1), inference(rw,[status(thm)],[c_0_69, c_0_71])).
fof(c_0_75, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))=>?[X2]:(((((((((m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))&v1_relat_1(X2))&v4_relat_1(X2,k4_ordinal1))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&~v1_xboole_0(X2))&v1_partfun1(X2,k4_ordinal1))&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&v1_polynom5(X2,X1))), inference(fof_simplification,[status(thm)],[rc1_polynom5])).
fof(c_0_76, plain, ![X126, X127]:(((v1_funct_1(X127)|~m2_finseq_1(X127,X126))&(v1_finseq_1(X127)|~m2_finseq_1(X127,X126)))&(m1_subset_1(X127,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X126)))|~m2_finseq_1(X127,X126))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_finseq_1])])])).
fof(c_0_77, plain, ![X117]:(~m1_finseq_1(X117,u1_struct_0(k12_polynom3(k1_int_3)))|m2_finseq_1(k6_e_trans1(X117),u1_struct_0(k12_polynom3(k2_vectsp_1)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_e_trans1])])).
fof(c_0_78, plain, ![X1]:((((((~v6_struct_0(X1)&v13_algstr_0(X1))&v5_vectsp_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&~v6_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc8_ratfunc1])).
fof(c_0_79, plain, ![X124, X125]:(((v1_relat_1(X125)|~m1_finseq_1(X125,X124))&(v1_funct_1(X125)|~m1_finseq_1(X125,X124)))&(v1_finseq_1(X125)|~m1_finseq_1(X125,X124))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_finseq_1])])])).
fof(c_0_80, plain, ![X147, X148]:((~m2_finseq_1(X148,X147)|m1_finseq_1(X148,X147))&(~m1_finseq_1(X148,X147)|m2_finseq_1(X148,X147))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
cnf(c_0_81, plain, (X1=X2|g6_algstr_0(k1_numbers,X1,k11_binop_2,X3,X4)!=g6_algstr_0(X5,X2,X6,X7,X8)|~v1_funct_2(X1,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)))|~m1_subset_1(X4,k1_numbers)|~m1_subset_1(X3,k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_49]), c_0_50]), c_0_51])])).
cnf(c_0_82, plain, (u2_algstr_0(k2_vectsp_1)=k11_binop_2), inference(spm,[status(thm)],[c_0_73, c_0_74])).
fof(c_0_83, plain, ![X140]:((((((((((m1_subset_1(esk5_1(X140),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X140))))|(v2_struct_0(X140)|~v1_group_1(X140)|~l6_algstr_0(X140)))&(v1_relat_1(esk5_1(X140))|(v2_struct_0(X140)|~v1_group_1(X140)|~l6_algstr_0(X140))))&(v4_relat_1(esk5_1(X140),k4_ordinal1)|(v2_struct_0(X140)|~v1_group_1(X140)|~l6_algstr_0(X140))))&(v5_relat_1(esk5_1(X140),u1_struct_0(X140))|(v2_struct_0(X140)|~v1_group_1(X140)|~l6_algstr_0(X140))))&(v1_funct_1(esk5_1(X140))|(v2_struct_0(X140)|~v1_group_1(X140)|~l6_algstr_0(X140))))&(~v1_xboole_0(esk5_1(X140))|(v2_struct_0(X140)|~v1_group_1(X140)|~l6_algstr_0(X140))))&(v1_partfun1(esk5_1(X140),k4_ordinal1)|(v2_struct_0(X140)|~v1_group_1(X140)|~l6_algstr_0(X140))))&(v1_funct_2(esk5_1(X140),k4_ordinal1,u1_struct_0(X140))|(v2_struct_0(X140)|~v1_group_1(X140)|~l6_algstr_0(X140))))&(v1_polynom1(esk5_1(X140),X140)|(v2_struct_0(X140)|~v1_group_1(X140)|~l6_algstr_0(X140))))&(v1_polynom5(esk5_1(X140),X140)|(v2_struct_0(X140)|~v1_group_1(X140)|~l6_algstr_0(X140)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])])).
fof(c_0_84, plain, (~v2_struct_0(k2_vectsp_1)&v36_algstr_0(k2_vectsp_1)), inference(fof_simplification,[status(thm)],[fc4_vectsp_1])).
fof(c_0_85, negated_conjecture, ~(![X1]:(m1_subset_1(X1,u1_struct_0(k1_int_3))=>![X2]:(m1_subset_1(X2,u1_struct_0(k2_vectsp_1))=>![X3]:(m2_finseq_1(X3,u1_struct_0(k12_polynom3(k1_int_3)))=>(X2=X1=>k1_funct_1(k5_polydiff(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),X3)))),X2)=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,X3,X1))))))), inference(assume_negation,[status(cth)],[t30_e_trans1])).
fof(c_0_86, plain, ![X1, X2, X3]:((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))&m1_finseq_1(X2,u1_struct_0(k12_polynom3(X1))))&m1_subset_1(X3,u1_struct_0(X1)))=>m2_finseq_1(k7_e_trans1(X1,X2,X3),u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[dt_k7_e_trans1])).
fof(c_0_87, plain, ![X1, X2]:((((((~v2_struct_0(X1)&l2_algstr_0(X1))&v1_relat_1(X2))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&v1_finseq_1(X2))=>m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[dt_k4_rlvect_1])).
fof(c_0_88, plain, ![X90, X91, X92]:((v4_relat_1(X92,X90)|~m1_subset_1(X92,k1_zfmisc_1(k2_zfmisc_1(X90,X91))))&(v5_relat_1(X92,X91)|~m1_subset_1(X92,k1_zfmisc_1(k2_zfmisc_1(X90,X91))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
cnf(c_0_89, plain, (m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X2)))|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_90, plain, (m2_finseq_1(k6_e_trans1(X1),u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_77])).
fof(c_0_91, plain, (((((((((((~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)), inference(fof_simplification,[status(thm)],[fc8_vectsp_1])).
fof(c_0_92, plain, ![X129]:(((~v2_struct_0(k12_polynom3(X129))|(v6_struct_0(X129)|~v13_algstr_0(X129)|~v5_vectsp_1(X129)|~v3_rlvect_1(X129)|~v4_rlvect_1(X129)|~l6_algstr_0(X129)))&(~v6_struct_0(k12_polynom3(X129))|(v6_struct_0(X129)|~v13_algstr_0(X129)|~v5_vectsp_1(X129)|~v3_rlvect_1(X129)|~v4_rlvect_1(X129)|~l6_algstr_0(X129))))&(v36_algstr_0(k12_polynom3(X129))|(v6_struct_0(X129)|~v13_algstr_0(X129)|~v5_vectsp_1(X129)|~v3_rlvect_1(X129)|~v4_rlvect_1(X129)|~l6_algstr_0(X129)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])).
cnf(c_0_93, plain, (v1_relat_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_79])).
cnf(c_0_94, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_95, plain, (X1=X2|g6_algstr_0(X1,X3,X4,X5,X6)!=g6_algstr_0(X2,X7,X8,X9,X10)|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))|~m1_subset_1(X5,X1)|~m1_subset_1(X6,X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_96, plain, (k9_binop_2=X1|g6_algstr_0(X2,X1,X3,X4,X5)!=k2_vectsp_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_58])])).
cnf(c_0_97, plain, (g6_algstr_0(u1_struct_0(k2_vectsp_1),u1_algstr_0(k2_vectsp_1),k11_binop_2,k10_subset_1(np__1,k1_numbers),k10_subset_1(k5_numbers,k1_numbers))=k2_vectsp_1), inference(rw,[status(thm)],[c_0_74, c_0_82])).
fof(c_0_98, plain, ![X96, X97]:(((v1_xboole_0(X97)|(~v1_relat_1(X97)|~v5_relat_1(X97,X96))|~v1_xboole_0(X96))&(v1_relat_1(X97)|(~v1_relat_1(X97)|~v5_relat_1(X97,X96))|~v1_xboole_0(X96)))&(v5_relat_1(X97,X96)|(~v1_relat_1(X97)|~v5_relat_1(X97,X96))|~v1_xboole_0(X96))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_relat_1])])])])).
cnf(c_0_99, plain, (v5_relat_1(esk5_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_100, plain, (v1_group_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[fc7_vectsp_1])).
cnf(c_0_101, plain, (~v2_struct_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_102, plain, (v1_relat_1(esk5_1(X1))|v2_struct_0(X1)|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_83])).
fof(c_0_103, plain, ![X94, X95]:(~v3_membered(X94)|(~m1_subset_1(X95,X94)|v1_xreal_0(X95))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_membered])])])).
fof(c_0_104, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k1_int_3))&(m1_subset_1(esk2_0,u1_struct_0(k2_vectsp_1))&(m2_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))&(esk2_0=esk1_0&k1_funct_1(k5_polydiff(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),esk3_0)))),esk2_0)!=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,esk1_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])])).
fof(c_0_105, plain, ![X118, X119, X120]:(v2_struct_0(X118)|~v13_algstr_0(X118)|~v3_group_1(X118)|~v5_group_1(X118)|~v2_rlvect_1(X118)|~v3_rlvect_1(X118)|~v4_rlvect_1(X118)|~v4_vectsp_1(X118)|~v5_vectsp_1(X118)|~l6_algstr_0(X118)|~m1_finseq_1(X119,u1_struct_0(k12_polynom3(X118)))|~m1_subset_1(X120,u1_struct_0(X118))|m2_finseq_1(k7_e_trans1(X118,X119,X120),u1_struct_0(X118))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])).
fof(c_0_106, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))=>k2_basel_2(X1,X2)=X2)), inference(fof_simplification,[status(thm)],[d2_basel_2])).
fof(c_0_107, plain, ![X115, X116]:(v2_struct_0(X115)|~l2_algstr_0(X115)|~v1_relat_1(X116)|~v5_relat_1(X116,u1_struct_0(X115))|~v1_funct_1(X116)|~v1_finseq_1(X116)|m1_subset_1(k4_rlvect_1(X115,X116),u1_struct_0(X115))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])).
cnf(c_0_108, plain, (v5_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_109, plain, (m1_subset_1(k6_e_trans1(X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k12_polynom3(k2_vectsp_1)))))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_89, c_0_90])).
cnf(c_0_110, plain, (~v6_struct_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_111, plain, (v6_struct_0(X1)|~v2_struct_0(k12_polynom3(X1))|~v13_algstr_0(X1)|~v5_vectsp_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
cnf(c_0_112, plain, (v5_vectsp_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_113, plain, (v4_rlvect_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_114, plain, (v3_rlvect_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_115, plain, (v13_algstr_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_116, plain, (v1_relat_1(X1)|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_117, plain, (v1_funct_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_118, plain, (v1_finseq_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_76])).
fof(c_0_119, plain, ![X1, X2]:(((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(k12_polynom3(X1))))=>(((v1_funct_1(k2_basel_2(X1,X2))&v1_funct_2(k2_basel_2(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k2_basel_2(X1,X2),X1))&m1_subset_1(k2_basel_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k2_basel_2])).
fof(c_0_120, plain, ![X1]:(((~v2_struct_0(X1)&v4_vectsp_1(X1))&l6_algstr_0(X1))=>![X2]:((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X3]:(((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>(X3=k10_polynom5(X1,X2)<=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),X3,X4)=k2_polynom4(X1,X2,X4)))))), inference(fof_simplification,[status(thm)],[d13_polynom5])).
fof(c_0_121, plain, ![X1, X2]:(((((((~v2_struct_0(X1)&v4_vectsp_1(X1))&l6_algstr_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>((v1_funct_1(k10_polynom5(X1,X2))&v1_funct_2(k10_polynom5(X1,X2),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k10_polynom5(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k10_polynom5])).
cnf(c_0_122, plain, (k1_numbers=X1|g6_algstr_0(k1_numbers,X2,k11_binop_2,X3,X4)!=g6_algstr_0(X1,X5,X6,X7,X8)|~v1_funct_2(X2,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)|~v1_funct_1(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers)))|~m1_subset_1(X4,k1_numbers)|~m1_subset_1(X3,k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_49]), c_0_50]), c_0_51])])).
cnf(c_0_123, plain, (u1_algstr_0(k2_vectsp_1)=k9_binop_2), inference(spm,[status(thm)],[c_0_96, c_0_97])).
cnf(c_0_124, plain, (v1_xboole_0(X1)|~v1_relat_1(X1)|~v5_relat_1(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_125, plain, (v5_relat_1(esk5_1(k2_vectsp_1),u1_struct_0(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_64])]), c_0_101])).
cnf(c_0_126, plain, (v1_relat_1(esk5_1(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_100]), c_0_64])]), c_0_101])).
cnf(c_0_127, plain, (v1_xreal_0(X2)|~v3_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_103])).
cnf(c_0_128, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k1_int_3))), inference(split_conjunct,[status(thm)],[c_0_104])).
fof(c_0_129, plain, ![X93]:(~v4_membered(X93)|v3_membered(X93)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])])).
cnf(c_0_130, plain, (v2_struct_0(X1)|m2_finseq_1(k7_e_trans1(X1,X2,X3),u1_struct_0(X1))|~v13_algstr_0(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_finseq_1(X2,u1_struct_0(k12_polynom3(X1)))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_105])).
fof(c_0_131, plain, ((((((((~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)), inference(fof_simplification,[status(thm)],[fc4_int_3])).
fof(c_0_132, plain, (~v2_struct_0(k1_int_3)&v36_algstr_0(k1_int_3)), inference(fof_simplification,[status(thm)],[fc1_int_3])).
fof(c_0_133, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_group_1(X2))&l6_algstr_0(X2))=>![X3]:(m2_finseq_1(X3,u1_struct_0(X1))=>![X4]:(m2_finseq_1(X4,u1_struct_0(X2))=>((m1_c0sp1(X1,X2)&X3=X4)=>k9_struct_0(k4_rlvect_1(X1,X3),X2)=k4_rlvect_1(X2,X4)))))), inference(fof_simplification,[status(thm)],[t10_algnum_1])).
fof(c_0_134, plain, ![X156, X157, X158]:(~m2_finseq_1(X156,u1_struct_0(k12_polynom3(k1_int_3)))|(~m1_subset_1(X157,u1_struct_0(k1_int_3))|(~m1_subset_1(X158,u1_struct_0(k2_vectsp_1))|(X157!=X158|k7_e_trans1(k2_vectsp_1,k6_e_trans1(X156),X158)=k7_e_trans1(k1_int_3,X156,X157))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t28_e_trans1])])])).
cnf(c_0_135, negated_conjecture, (k1_funct_1(k5_polydiff(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),esk3_0)))),esk2_0)!=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,esk1_0))), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_136, negated_conjecture, (esk2_0=esk1_0), inference(split_conjunct,[status(thm)],[c_0_104])).
fof(c_0_137, plain, ![X159]:(~m2_finseq_1(X159,u1_struct_0(k12_polynom3(k1_int_3)))|k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X159))=k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),X159))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t29_e_trans1])])).
fof(c_0_138, plain, ![X105, X106]:(v2_struct_0(X105)|~v13_algstr_0(X105)|~v3_rlvect_1(X105)|~v4_rlvect_1(X105)|~v5_vectsp_1(X105)|~l6_algstr_0(X105)|(~m1_subset_1(X106,u1_struct_0(k12_polynom3(X105)))|k2_basel_2(X105,X106)=X106)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])])])).
cnf(c_0_139, plain, (v2_struct_0(X1)|m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))|~l2_algstr_0(X1)|~v1_relat_1(X2)|~v5_relat_1(X2,u1_struct_0(X1))|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_107])).
cnf(c_0_140, plain, (v5_relat_1(k6_e_trans1(X1),u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_108, c_0_109])).
cnf(c_0_141, plain, (~v2_struct_0(k12_polynom3(k2_vectsp_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), c_0_64])])).
cnf(c_0_142, plain, (v1_relat_1(k6_e_trans1(X1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_116, c_0_90])).
cnf(c_0_143, plain, (v1_funct_1(k6_e_trans1(X1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_117, c_0_90])).
cnf(c_0_144, plain, (v1_finseq_1(k6_e_trans1(X1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_118, c_0_90])).
fof(c_0_145, plain, ![X113, X114]:((((v1_funct_1(k2_basel_2(X113,X114))|(v2_struct_0(X113)|~v13_algstr_0(X113)|~v3_rlvect_1(X113)|~v4_rlvect_1(X113)|~v5_vectsp_1(X113)|~l6_algstr_0(X113)|~m1_subset_1(X114,u1_struct_0(k12_polynom3(X113)))))&(v1_funct_2(k2_basel_2(X113,X114),k4_ordinal1,u1_struct_0(X113))|(v2_struct_0(X113)|~v13_algstr_0(X113)|~v3_rlvect_1(X113)|~v4_rlvect_1(X113)|~v5_vectsp_1(X113)|~l6_algstr_0(X113)|~m1_subset_1(X114,u1_struct_0(k12_polynom3(X113))))))&(v1_polynom1(k2_basel_2(X113,X114),X113)|(v2_struct_0(X113)|~v13_algstr_0(X113)|~v3_rlvect_1(X113)|~v4_rlvect_1(X113)|~v5_vectsp_1(X113)|~l6_algstr_0(X113)|~m1_subset_1(X114,u1_struct_0(k12_polynom3(X113))))))&(m1_subset_1(k2_basel_2(X113,X114),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X113))))|(v2_struct_0(X113)|~v13_algstr_0(X113)|~v3_rlvect_1(X113)|~v4_rlvect_1(X113)|~v5_vectsp_1(X113)|~l6_algstr_0(X113)|~m1_subset_1(X114,u1_struct_0(k12_polynom3(X113)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_119])])])).
fof(c_0_146, plain, ![X98, X99, X100, X101]:((X100!=k10_polynom5(X98,X99)|(~m1_subset_1(X101,u1_struct_0(X98))|k3_funct_2(u1_struct_0(X98),u1_struct_0(X98),X100,X101)=k2_polynom4(X98,X99,X101))|(~v1_funct_1(X100)|~v1_funct_2(X100,u1_struct_0(X98),u1_struct_0(X98))|~m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X98),u1_struct_0(X98)))))|(~v1_funct_1(X99)|~v1_funct_2(X99,k4_ordinal1,u1_struct_0(X98))|~v1_polynom1(X99,X98)|~m1_subset_1(X99,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X98)))))|(v2_struct_0(X98)|~v4_vectsp_1(X98)|~l6_algstr_0(X98)))&((m1_subset_1(esk4_3(X98,X99,X100),u1_struct_0(X98))|X100=k10_polynom5(X98,X99)|(~v1_funct_1(X100)|~v1_funct_2(X100,u1_struct_0(X98),u1_struct_0(X98))|~m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X98),u1_struct_0(X98)))))|(~v1_funct_1(X99)|~v1_funct_2(X99,k4_ordinal1,u1_struct_0(X98))|~v1_polynom1(X99,X98)|~m1_subset_1(X99,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X98)))))|(v2_struct_0(X98)|~v4_vectsp_1(X98)|~l6_algstr_0(X98)))&(k3_funct_2(u1_struct_0(X98),u1_struct_0(X98),X100,esk4_3(X98,X99,X100))!=k2_polynom4(X98,X99,esk4_3(X98,X99,X100))|X100=k10_polynom5(X98,X99)|(~v1_funct_1(X100)|~v1_funct_2(X100,u1_struct_0(X98),u1_struct_0(X98))|~m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X98),u1_struct_0(X98)))))|(~v1_funct_1(X99)|~v1_funct_2(X99,k4_ordinal1,u1_struct_0(X98))|~v1_polynom1(X99,X98)|~m1_subset_1(X99,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X98)))))|(v2_struct_0(X98)|~v4_vectsp_1(X98)|~l6_algstr_0(X98))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])])])])])).
fof(c_0_147, plain, ![X108, X109]:(((v1_funct_1(k10_polynom5(X108,X109))|(v2_struct_0(X108)|~v4_vectsp_1(X108)|~l6_algstr_0(X108)|~v1_funct_1(X109)|~v1_funct_2(X109,k4_ordinal1,u1_struct_0(X108))|~v1_polynom1(X109,X108)|~m1_subset_1(X109,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X108))))))&(v1_funct_2(k10_polynom5(X108,X109),u1_struct_0(X108),u1_struct_0(X108))|(v2_struct_0(X108)|~v4_vectsp_1(X108)|~l6_algstr_0(X108)|~v1_funct_1(X109)|~v1_funct_2(X109,k4_ordinal1,u1_struct_0(X108))|~v1_polynom1(X109,X108)|~m1_subset_1(X109,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X108)))))))&(m1_subset_1(k10_polynom5(X108,X109),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X108),u1_struct_0(X108))))|(v2_struct_0(X108)|~v4_vectsp_1(X108)|~l6_algstr_0(X108)|~v1_funct_1(X109)|~v1_funct_2(X109,k4_ordinal1,u1_struct_0(X108))|~v1_polynom1(X109,X108)|~m1_subset_1(X109,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X108))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])])).
fof(c_0_148, plain, ![X1, X2, X3, X4]:(((((~v1_xboole_0(X1)&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k3_funct_2])).
cnf(c_0_149, plain, (k1_numbers=X1|g6_algstr_0(X1,X2,X3,X4,X5)!=k2_vectsp_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_58])])).
cnf(c_0_150, plain, (g6_algstr_0(u1_struct_0(k2_vectsp_1),k9_binop_2,k11_binop_2,k10_subset_1(np__1,k1_numbers),k10_subset_1(k5_numbers,k1_numbers))=k2_vectsp_1), inference(rw,[status(thm)],[c_0_97, c_0_123])).
cnf(c_0_151, plain, (v2_struct_0(X1)|~v1_xboole_0(esk5_1(X1))|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_152, plain, (v1_xboole_0(esk5_1(k2_vectsp_1))|~v1_xboole_0(u1_struct_0(k2_vectsp_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_125]), c_0_126])])).
cnf(c_0_153, negated_conjecture, (v1_xreal_0(esk1_0)|~v3_membered(u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_127, c_0_128])).
cnf(c_0_154, plain, (v3_membered(X1)|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_129])).
fof(c_0_155, plain, ![X89]:(~v5_membered(X89)|v4_membered(X89)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])])).
fof(c_0_156, plain, ![X1]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>![X2]:(m2_finseq_1(X2,u1_struct_0(k12_polynom3(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_polynom4(X1,k2_basel_2(X1,k4_rlvect_1(k12_polynom3(X1),X2)),X3)=k4_rlvect_1(X1,k7_e_trans1(X1,X2,X3))))), inference(fof_simplification,[status(thm)],[t26_e_trans1])).
cnf(c_0_157, plain, (v2_struct_0(X1)|m2_finseq_1(k7_e_trans1(X1,X2,X3),u1_struct_0(X1))|~v2_rlvect_1(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~l6_algstr_0(X1)|~m2_finseq_1(X2,u1_struct_0(k12_polynom3(X1)))|~m1_subset_1(X3,u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_130, c_0_94])).
cnf(c_0_158, negated_conjecture, (m2_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_159, plain, (v2_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_160, plain, (v5_group_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_161, plain, (v3_group_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_162, plain, (v5_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_163, plain, (v4_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_164, plain, (v3_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_165, plain, (v13_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_166, plain, (v4_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[fc3_int_3])).
cnf(c_0_167, plain, (l6_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[dt_k1_int_3])).
cnf(c_0_168, plain, (~v2_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_132])).
fof(c_0_169, plain, ![X149, X150, X151, X152]:(v2_struct_0(X149)|~v13_algstr_0(X149)|~v2_rlvect_1(X149)|~v3_rlvect_1(X149)|~v4_rlvect_1(X149)|~v4_vectsp_1(X149)|~v5_vectsp_1(X149)|~v3_group_1(X149)|~l6_algstr_0(X149)|(v2_struct_0(X150)|~v13_algstr_0(X150)|~v2_rlvect_1(X150)|~v3_rlvect_1(X150)|~v4_rlvect_1(X150)|~v4_vectsp_1(X150)|~v5_vectsp_1(X150)|~v3_group_1(X150)|~l6_algstr_0(X150)|(~m2_finseq_1(X151,u1_struct_0(X149))|(~m2_finseq_1(X152,u1_struct_0(X150))|(~m1_c0sp1(X149,X150)|X151!=X152|k9_struct_0(k4_rlvect_1(X149,X151),X150)=k4_rlvect_1(X150,X152)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_133])])])).
cnf(c_0_170, plain, (v2_rlvect_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_171, plain, (v5_group_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_172, plain, (v3_group_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_173, plain, (v4_vectsp_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[fc6_vectsp_1])).
cnf(c_0_174, plain, (k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X3)=k7_e_trans1(k1_int_3,X1,X2)|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X2,u1_struct_0(k1_int_3))|~m1_subset_1(X3,u1_struct_0(k2_vectsp_1))|X2!=X3), inference(split_conjunct,[status(thm)],[c_0_134])).
cnf(c_0_175, negated_conjecture, (k1_funct_1(k5_polydiff(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),esk3_0)))),esk1_0)!=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,esk1_0))), inference(rw,[status(thm)],[c_0_135, c_0_136])).
cnf(c_0_176, plain, (k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))=k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),X1))|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_137])).
cnf(c_0_177, plain, (v2_struct_0(X1)|k2_basel_2(X1,X2)=X2|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_138])).
cnf(c_0_178, plain, (m1_subset_1(k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1)),u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139, c_0_140]), c_0_141]), c_0_142]), c_0_143]), c_0_144])).
cnf(c_0_179, plain, (m1_subset_1(k2_basel_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_145])).
cnf(c_0_180, plain, (v1_funct_1(k2_basel_2(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_145])).
cnf(c_0_181, plain, (v1_funct_2(k2_basel_2(X1,X2),k4_ordinal1,u1_struct_0(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_145])).
cnf(c_0_182, plain, (v1_polynom1(k2_basel_2(X1,X2),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_145])).
cnf(c_0_183, plain, (k3_funct_2(u1_struct_0(X2),u1_struct_0(X2),X1,X4)=k2_polynom4(X2,X3,X4)|v2_struct_0(X2)|X1!=k10_polynom5(X2,X3)|~m1_subset_1(X4,u1_struct_0(X2))|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2))))|~v1_funct_1(X3)|~v1_funct_2(X3,k4_ordinal1,u1_struct_0(X2))|~v1_polynom1(X3,X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~v4_vectsp_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_146])).
cnf(c_0_184, plain, (m1_subset_1(k10_polynom5(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l6_algstr_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_polynom1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_147])).
cnf(c_0_185, plain, (v1_funct_1(k10_polynom5(X1,X2))|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l6_algstr_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_polynom1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_147])).
cnf(c_0_186, plain, (v1_funct_2(k10_polynom5(X1,X2),u1_struct_0(X1),u1_struct_0(X1))|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l6_algstr_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_polynom1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_147])).
fof(c_0_187, plain, ![X143, X144, X145, X146]:(v1_xboole_0(X143)|~v1_funct_1(X145)|~v1_funct_2(X145,X143,X144)|~m1_subset_1(X145,k1_zfmisc_1(k2_zfmisc_1(X143,X144)))|~m1_subset_1(X146,X143)|k3_funct_2(X143,X144,X145,X146)=k1_funct_1(X145,X146)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_148])])).
cnf(c_0_188, plain, (u1_struct_0(k2_vectsp_1)=k1_numbers), inference(spm,[status(thm)],[c_0_149, c_0_150])).
cnf(c_0_189, plain, (~v1_xboole_0(u1_struct_0(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_152]), c_0_100]), c_0_64])]), c_0_101])).
fof(c_0_190, plain, ![X142]:(~v1_xreal_0(X142)|k10_subset_1(X142,k1_numbers)=X142), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_xreal_0])])).
cnf(c_0_191, negated_conjecture, (v1_xreal_0(esk1_0)|~v4_membered(u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_153, c_0_154])).
cnf(c_0_192, plain, (v4_membered(X1)|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_155])).
cnf(c_0_193, plain, (v5_membered(u1_struct_0(k1_int_3))), inference(split_conjunct,[status(thm)],[fc2_int_3])).
fof(c_0_194, plain, ![X153, X154, X155]:(v2_struct_0(X153)|~v13_algstr_0(X153)|~v3_group_1(X153)|~v5_group_1(X153)|~v2_rlvect_1(X153)|~v3_rlvect_1(X153)|~v4_rlvect_1(X153)|~v4_vectsp_1(X153)|~v5_vectsp_1(X153)|~l6_algstr_0(X153)|(~m2_finseq_1(X154,u1_struct_0(k12_polynom3(X153)))|(~m1_subset_1(X155,u1_struct_0(X153))|k2_polynom4(X153,k2_basel_2(X153,k4_rlvect_1(k12_polynom3(X153),X154)),X155)=k4_rlvect_1(X153,k7_e_trans1(X153,X154,X155))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_156])])])).
cnf(c_0_195, negated_conjecture, (m2_finseq_1(k7_e_trans1(k1_int_3,esk3_0,X1),u1_struct_0(k1_int_3))|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_158]), c_0_159]), c_0_160]), c_0_161]), c_0_162]), c_0_163]), c_0_164]), c_0_165]), c_0_166]), c_0_167])]), c_0_168])).
cnf(c_0_196, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k9_struct_0(k4_rlvect_1(X1,X3),X2)=k4_rlvect_1(X2,X4)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)|~m2_finseq_1(X3,u1_struct_0(X1))|~m2_finseq_1(X4,u1_struct_0(X2))|~m1_c0sp1(X1,X2)|X3!=X4), inference(split_conjunct,[status(thm)],[c_0_169])).
cnf(c_0_197, plain, (m2_finseq_1(k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X2),u1_struct_0(k2_vectsp_1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X2,u1_struct_0(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_90]), c_0_170]), c_0_171]), c_0_172]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), c_0_173]), c_0_64])]), c_0_101])).
cnf(c_0_198, plain, (k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X2)=k7_e_trans1(k1_int_3,X1,X2)|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X2,u1_struct_0(k2_vectsp_1))|~m1_subset_1(X2,u1_struct_0(k1_int_3))), inference(er,[status(thm)],[c_0_174])).
cnf(c_0_199, plain, (m2_finseq_1(X1,X2)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_200, negated_conjecture, (k1_funct_1(k5_polydiff(k2_basel_2(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(esk3_0)))),esk1_0)!=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_176]), c_0_158])])).
cnf(c_0_201, plain, (k2_basel_2(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1)))=k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177, c_0_178]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), c_0_64])]), c_0_101])).
fof(c_0_202, plain, ![X107]:(~v1_funct_1(X107)|~v1_funct_2(X107,k4_ordinal1,u1_struct_0(k2_vectsp_1))|~v1_polynom1(X107,k2_vectsp_1)|~m1_subset_1(X107,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1))))|k5_polydiff(X107)=k10_polynom5(k2_vectsp_1,X107)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_polydiff])])).
cnf(c_0_203, plain, (m1_subset_1(k2_basel_2(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1))))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179, c_0_178]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), c_0_64])]), c_0_101])).
cnf(c_0_204, plain, (v1_funct_1(k2_basel_2(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_178]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), c_0_64])]), c_0_101])).
cnf(c_0_205, plain, (v1_funct_2(k2_basel_2(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))),k4_ordinal1,u1_struct_0(k2_vectsp_1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_178]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), c_0_64])]), c_0_101])).
cnf(c_0_206, plain, (v1_polynom1(k2_basel_2(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))),k2_vectsp_1)|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182, c_0_178]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), c_0_64])]), c_0_101])).
cnf(c_0_207, plain, (k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),k10_polynom5(X1,X2),X3)=k2_polynom4(X1,X2,X3)|v2_struct_0(X1)|~v1_polynom1(X2,X1)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_funct_1(X2)|~v4_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~m1_subset_1(X3,u1_struct_0(X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_183]), c_0_184]), c_0_185]), c_0_186])).
cnf(c_0_208, plain, (v1_xboole_0(X1)|k3_funct_2(X1,X3,X2,X4)=k1_funct_1(X2,X4)|~v1_funct_1(X2)|~v1_funct_2(X2,X1,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_187])).
cnf(c_0_209, plain, (m1_subset_1(k10_polynom5(k2_vectsp_1,X1),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~v1_polynom1(X1,k2_vectsp_1)|~v1_funct_2(X1,k4_ordinal1,k1_numbers)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184, c_0_188]), c_0_173]), c_0_64])]), c_0_101])).
cnf(c_0_210, plain, (~v1_xboole_0(k1_numbers)), inference(rw,[status(thm)],[c_0_189, c_0_188])).
cnf(c_0_211, plain, (v1_funct_1(k10_polynom5(k2_vectsp_1,X1))|~v1_polynom1(X1,k2_vectsp_1)|~v1_funct_2(X1,k4_ordinal1,k1_numbers)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185, c_0_188]), c_0_173]), c_0_64])]), c_0_101])).
cnf(c_0_212, plain, (v1_funct_2(k10_polynom5(k2_vectsp_1,X1),k1_numbers,k1_numbers)|~v1_polynom1(X1,k2_vectsp_1)|~v1_funct_2(X1,k4_ordinal1,k1_numbers)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186, c_0_188]), c_0_173]), c_0_64])]), c_0_101])).
cnf(c_0_213, plain, (k10_subset_1(X1,k1_numbers)=X1|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_190])).
cnf(c_0_214, negated_conjecture, (v1_xreal_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_192]), c_0_193])])).
cnf(c_0_215, plain, (v2_struct_0(X1)|k2_polynom4(X1,k2_basel_2(X1,k4_rlvect_1(k12_polynom3(X1),X2)),X3)=k4_rlvect_1(X1,k7_e_trans1(X1,X2,X3))|~v13_algstr_0(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m2_finseq_1(X2,u1_struct_0(k12_polynom3(X1)))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_194])).
cnf(c_0_216, negated_conjecture, (m1_subset_1(k7_e_trans1(k1_int_3,esk3_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_int_3))))|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_89, c_0_195])).
cnf(c_0_217, plain, (k9_struct_0(k4_rlvect_1(X1,X2),X3)=k4_rlvect_1(X3,X2)|v2_struct_0(X3)|v2_struct_0(X1)|~m1_c0sp1(X1,X3)|~v2_rlvect_1(X3)|~v2_rlvect_1(X1)|~v3_group_1(X3)|~v3_group_1(X1)|~v5_vectsp_1(X3)|~v5_vectsp_1(X1)|~v4_rlvect_1(X3)|~v4_rlvect_1(X1)|~v3_rlvect_1(X3)|~v3_rlvect_1(X1)|~v13_algstr_0(X3)|~v13_algstr_0(X1)|~v4_vectsp_1(X3)|~v4_vectsp_1(X1)|~l6_algstr_0(X3)|~l6_algstr_0(X1)|~m2_finseq_1(X2,u1_struct_0(X3))|~m2_finseq_1(X2,u1_struct_0(X1))), inference(er,[status(thm)],[c_0_196])).
cnf(c_0_218, plain, (m2_finseq_1(k7_e_trans1(k1_int_3,X1,X2),u1_struct_0(k2_vectsp_1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X2,u1_struct_0(k2_vectsp_1))|~m1_subset_1(X2,u1_struct_0(k1_int_3))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197, c_0_198]), c_0_199])).
cnf(c_0_219, negated_conjecture, (k1_funct_1(k5_polydiff(k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(esk3_0))),esk1_0)!=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,esk1_0))|~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(spm,[status(thm)],[c_0_200, c_0_201])).
cnf(c_0_220, plain, (k5_polydiff(X1)=k10_polynom5(k2_vectsp_1,X1)|~v1_funct_1(X1)|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(k2_vectsp_1))|~v1_polynom1(X1,k2_vectsp_1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1))))), inference(split_conjunct,[status(thm)],[c_0_202])).
cnf(c_0_221, plain, (m1_subset_1(k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1)),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1))))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(spm,[status(thm)],[c_0_203, c_0_201])).
cnf(c_0_222, plain, (v1_funct_1(k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1)))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(spm,[status(thm)],[c_0_204, c_0_201])).
cnf(c_0_223, plain, (v1_funct_2(k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1)),k4_ordinal1,u1_struct_0(k2_vectsp_1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(spm,[status(thm)],[c_0_205, c_0_201])).
cnf(c_0_224, plain, (v1_polynom1(k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1)),k2_vectsp_1)|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(spm,[status(thm)],[c_0_206, c_0_201])).
cnf(c_0_225, plain, (k3_funct_2(k1_numbers,k1_numbers,k10_polynom5(k2_vectsp_1,X1),X2)=k2_polynom4(k2_vectsp_1,X1,X2)|~v1_polynom1(X1,k2_vectsp_1)|~v1_funct_2(X1,k4_ordinal1,k1_numbers)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))|~m1_subset_1(X2,k1_numbers)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207, c_0_188]), c_0_173]), c_0_64])]), c_0_101])).
cnf(c_0_226, plain, (k3_funct_2(k1_numbers,k1_numbers,k10_polynom5(k2_vectsp_1,X1),X2)=k1_funct_1(k10_polynom5(k2_vectsp_1,X1),X2)|~v1_polynom1(X1,k2_vectsp_1)|~v1_funct_2(X1,k4_ordinal1,k1_numbers)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))|~m1_subset_1(X2,k1_numbers)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208, c_0_209]), c_0_210]), c_0_211]), c_0_212])).
cnf(c_0_227, negated_conjecture, (k10_subset_1(esk1_0,k1_numbers)=esk1_0), inference(spm,[status(thm)],[c_0_213, c_0_214])).
cnf(c_0_228, plain, (k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))),X2)=k4_rlvect_1(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X2))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X2,u1_struct_0(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215, c_0_90]), c_0_170]), c_0_171]), c_0_172]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), c_0_173]), c_0_64])]), c_0_101])).
cnf(c_0_229, negated_conjecture, (v5_relat_1(k7_e_trans1(k1_int_3,esk3_0,X1),u1_struct_0(k1_int_3))|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_108, c_0_216])).
cnf(c_0_230, negated_conjecture, (v1_relat_1(k7_e_trans1(k1_int_3,esk3_0,X1))|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_116, c_0_195])).
cnf(c_0_231, negated_conjecture, (v1_funct_1(k7_e_trans1(k1_int_3,esk3_0,X1))|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_117, c_0_195])).
cnf(c_0_232, negated_conjecture, (v1_finseq_1(k7_e_trans1(k1_int_3,esk3_0,X1))|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_118, c_0_195])).
fof(c_0_233, plain, ![X103, X104]:(~l1_struct_0(X104)|k9_struct_0(X103,X104)=k10_subset_1(X103,u1_struct_0(X104))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d22_struct_0])])).
cnf(c_0_234, plain, (k9_struct_0(k4_rlvect_1(X1,k7_e_trans1(k1_int_3,X2,X3)),k2_vectsp_1)=k4_rlvect_1(k2_vectsp_1,k7_e_trans1(k1_int_3,X2,X3))|v2_struct_0(X1)|~m1_c0sp1(X1,k2_vectsp_1)|~v2_rlvect_1(X1)|~v3_group_1(X1)|~m1_finseq_1(X2,u1_struct_0(k12_polynom3(k1_int_3)))|~v5_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~l6_algstr_0(X1)|~m2_finseq_1(k7_e_trans1(k1_int_3,X2,X3),u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(k2_vectsp_1))|~m1_subset_1(X3,u1_struct_0(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217, c_0_218]), c_0_170]), c_0_172]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), c_0_173]), c_0_64])]), c_0_101])).
cnf(c_0_235, plain, (m1_c0sp1(k1_int_3,k2_vectsp_1)), inference(split_conjunct,[status(thm)],[t5_liouvil2])).
cnf(c_0_236, negated_conjecture, (k1_funct_1(k10_polynom5(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(esk3_0))),esk1_0)!=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,esk1_0))|~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219, c_0_220]), c_0_221]), c_0_222]), c_0_223]), c_0_224])).
cnf(c_0_237, plain, (k1_funct_1(k10_polynom5(k2_vectsp_1,X1),X2)=k2_polynom4(k2_vectsp_1,X1,X2)|~v1_polynom1(X1,k2_vectsp_1)|~v1_funct_2(X1,k4_ordinal1,k1_numbers)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))|~m1_subset_1(X2,k1_numbers)), inference(spm,[status(thm)],[c_0_225, c_0_226])).
cnf(c_0_238, negated_conjecture, (m1_subset_1(esk1_0,k1_numbers)), inference(spm,[status(thm)],[c_0_58, c_0_227])).
cnf(c_0_239, plain, (m1_subset_1(k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1)),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(rw,[status(thm)],[c_0_221, c_0_188])).
cnf(c_0_240, plain, (v1_funct_2(k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1)),k4_ordinal1,k1_numbers)|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(rw,[status(thm)],[c_0_223, c_0_188])).
cnf(c_0_241, plain, (k2_polynom4(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1)),X2)=k4_rlvect_1(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X2))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))|~m1_subset_1(X2,u1_struct_0(k2_vectsp_1))), inference(spm,[status(thm)],[c_0_228, c_0_201])).
cnf(c_0_242, negated_conjecture, (m1_subset_1(k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,X1)),u1_struct_0(k1_int_3))|~l2_algstr_0(k1_int_3)|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139, c_0_229]), c_0_168]), c_0_230]), c_0_231]), c_0_232])).
cnf(c_0_243, plain, (k9_struct_0(X2,X1)=k10_subset_1(X2,u1_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_233])).
cnf(c_0_244, negated_conjecture, (k9_struct_0(k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,X1)),k2_vectsp_1)=k4_rlvect_1(k2_vectsp_1,k7_e_trans1(k1_int_3,esk3_0,X1))|~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X1,u1_struct_0(k2_vectsp_1))|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_195]), c_0_235]), c_0_159]), c_0_161]), c_0_162]), c_0_163]), c_0_164]), c_0_165]), c_0_166]), c_0_167])]), c_0_168])).
cnf(c_0_245, negated_conjecture, (k2_polynom4(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(esk3_0)),esk1_0)!=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,esk1_0))|~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236, c_0_237]), c_0_238])]), c_0_239]), c_0_222]), c_0_240]), c_0_224])).
cnf(c_0_246, plain, (k2_polynom4(k2_vectsp_1,k4_rlvect_1(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1)),X2)=k4_rlvect_1(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X2))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))|~m1_subset_1(X2,k1_numbers)), inference(rw,[status(thm)],[c_0_241, c_0_188])).
cnf(c_0_247, negated_conjecture, (v1_xreal_0(k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,X1)))|~l2_algstr_0(k1_int_3)|~v3_membered(u1_struct_0(k1_int_3))|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_127, c_0_242])).
cnf(c_0_248, negated_conjecture, (k10_subset_1(k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,X1)),u1_struct_0(k2_vectsp_1))=k4_rlvect_1(k2_vectsp_1,k7_e_trans1(k1_int_3,esk3_0,X1))|~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l1_struct_0(k2_vectsp_1)|~m1_subset_1(X1,u1_struct_0(k2_vectsp_1))|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_243, c_0_244])).
fof(c_0_249, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[dt_k12_polynom3])).
cnf(c_0_250, negated_conjecture, (k4_rlvect_1(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(esk3_0),esk1_0))!=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,esk1_0))|~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245, c_0_246]), c_0_238])])).
cnf(c_0_251, plain, (k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X2)=k7_e_trans1(k1_int_3,X1,X2)|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X2,u1_struct_0(k1_int_3))|~m1_subset_1(X2,k1_numbers)), inference(rw,[status(thm)],[c_0_198, c_0_188])).
cnf(c_0_252, negated_conjecture, (k10_subset_1(k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,X1)),k1_numbers)=k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,X1))|~l2_algstr_0(k1_int_3)|~v3_membered(u1_struct_0(k1_int_3))|~m1_subset_1(X1,u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_213, c_0_247])).
cnf(c_0_253, negated_conjecture, (k10_subset_1(k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,X1)),k1_numbers)=k4_rlvect_1(k2_vectsp_1,k7_e_trans1(k1_int_3,esk3_0,X1))|~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l1_struct_0(k2_vectsp_1)|~m1_subset_1(X1,u1_struct_0(k1_int_3))|~m1_subset_1(X1,k1_numbers)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_248, c_0_188]), c_0_188])).
fof(c_0_254, plain, ![X112]:(((~v2_struct_0(k12_polynom3(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_vectsp_1(X112)|~l6_algstr_0(X112)))&(v36_algstr_0(k12_polynom3(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_vectsp_1(X112)|~l6_algstr_0(X112))))&(l6_algstr_0(k12_polynom3(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_vectsp_1(X112)|~l6_algstr_0(X112)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_249])])])).
cnf(c_0_255, negated_conjecture, (k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,esk1_0))!=k4_rlvect_1(k2_vectsp_1,k7_e_trans1(k1_int_3,esk3_0,esk1_0))|~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250, c_0_251]), c_0_158]), c_0_128]), c_0_238])])).
cnf(c_0_256, negated_conjecture, (k4_rlvect_1(k1_int_3,k7_e_trans1(k1_int_3,esk3_0,X1))=k4_rlvect_1(k2_vectsp_1,k7_e_trans1(k1_int_3,esk3_0,X1))|~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k1_int_3)|~l1_struct_0(k2_vectsp_1)|~v3_membered(u1_struct_0(k1_int_3))|~m1_subset_1(X1,u1_struct_0(k1_int_3))|~m1_subset_1(X1,k1_numbers)), inference(spm,[status(thm)],[c_0_252, c_0_253])).
fof(c_0_257, plain, ![X123]:((l2_algstr_0(X123)|~l6_algstr_0(X123))&(l5_algstr_0(X123)|~l6_algstr_0(X123))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
cnf(c_0_258, plain, (l6_algstr_0(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_254])).
cnf(c_0_259, negated_conjecture, (~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))|~l2_algstr_0(k1_int_3)|~l1_struct_0(k2_vectsp_1)|~v3_membered(u1_struct_0(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255, c_0_256]), c_0_128]), c_0_238])])).
cnf(c_0_260, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_257])).
cnf(c_0_261, plain, (l6_algstr_0(k12_polynom3(k2_vectsp_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258, c_0_112]), c_0_113]), c_0_114]), c_0_115]), c_0_64])]), c_0_101])).
cnf(c_0_262, negated_conjecture, (~m1_finseq_1(esk3_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k1_int_3)|~l1_struct_0(k2_vectsp_1)|~v3_membered(u1_struct_0(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259, c_0_260]), c_0_261])])).
cnf(c_0_263, negated_conjecture, (~l2_algstr_0(k1_int_3)|~l1_struct_0(k2_vectsp_1)|~v3_membered(u1_struct_0(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262, c_0_94]), c_0_158])])).
fof(c_0_264, plain, ![X122]:(~l2_struct_0(X122)|l1_struct_0(X122)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
fof(c_0_265, plain, ![X121]:((l2_struct_0(X121)|~l2_algstr_0(X121))&(l1_algstr_0(X121)|~l2_algstr_0(X121))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
cnf(c_0_266, negated_conjecture, (~l2_algstr_0(k1_int_3)|~l1_struct_0(k2_vectsp_1)|~v4_membered(u1_struct_0(k1_int_3))), inference(spm,[status(thm)],[c_0_263, c_0_154])).
cnf(c_0_267, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_264])).
cnf(c_0_268, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_265])).
cnf(c_0_269, negated_conjecture, (~l2_algstr_0(k1_int_3)|~l1_struct_0(k2_vectsp_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266, c_0_192]), c_0_193])])).
cnf(c_0_270, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_267, c_0_268])).
cnf(c_0_271, negated_conjecture, (~l2_algstr_0(k1_int_3)|~l2_algstr_0(k2_vectsp_1)), inference(spm,[status(thm)],[c_0_269, c_0_270])).
cnf(c_0_272, negated_conjecture, (~l2_algstr_0(k2_vectsp_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271, c_0_260]), c_0_167])])).
cnf(c_0_273, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272, c_0_260]), c_0_64])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 274
# Proof object clause steps            : 177
# Proof object formula steps           : 97
# Proof object conjectures             : 40
# Proof object clause conjectures      : 37
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 82
# Proof object initial formulas used   : 47
# Proof object generating inferences   : 82
# Proof object simplifying inferences  : 243
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 48
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 116
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 114
# Processed clauses                    : 1881
# ...of these trivial                  : 11
# ...subsumed                          : 650
# ...remaining for further processing  : 1220
# Other redundant clauses eliminated   : 18
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 227
# Backward-rewritten                   : 162
# Generated clauses                    : 2255
# ...of the previous two non-trivial   : 2365
# Contextual simplify-reflections      : 160
# Paramodulations                      : 2227
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 28
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 718
#    Positive orientable unit clauses  : 100
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 10
#    Non-unit-clauses                  : 608
# Current number of unprocessed clauses: 654
# ...number of literals in the above   : 4998
# Current number of archived formulas  : 0
# Current number of archived clauses   : 499
# Clause-clause subsumption calls (NU) : 203618
# Rec. Clause-clause subsumption calls : 28377
# Non-unit clause-clause subsumptions  : 1016
# Unit Clause-clause subsumption calls : 1647
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 11
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 116620

# -------------------------------------------------
# User time                : 0.160 s
# System time              : 0.015 s
# Total time               : 0.175 s
# Maximum resident set size: 3408 pages
