% Mizar problem: t40_measur13,measur13,2603,5 
fof(t40_measur13, conjecture,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur13(C, k1_nat_1(A, 1), B) =>  (! [D] :  (m3_measur13(D, k1_nat_1(A, 1), B, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(A, 1), B), k6_numbers))))  =>  ( (v1_measur13(D, k1_nat_1(A, 1), B, C) &  (r1_measur13(A, B, C, D, E) & r1_mesfunc5(k3_measur13(k1_nat_1(A, 1), B), k10_measur13(k1_nat_1(A, 1), B, C), k12_measur13(k1_nat_1(A, 1), B, C, D), E)) )  =>  (! [F] :  ( (v7_ordinal1(F) &  ~ (v8_ordinal1(F)) )  =>  ~ ( ( ~ (r1_xxreal_0(A, F))  &  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k6_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k6_numbers))))  =>  (! [I] :  ( (v1_funct_1(I) &  (v1_funct_2(I, k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k6_numbers) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k6_numbers)))) )  =>  ~ ( (H=G &  (H=k1_funct_1(k14_measur13(A, B, C, D, E), k3_xxreal_3(k1_nat_1(A, 1), F)) &  (I=k1_funct_1(k14_measur13(A, B, C, D, E), k3_xxreal_3(k1_nat_1(A, 1), k3_xxreal_3(F, 1))) &  (r2_funct_2(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k6_numbers, I, k7_mesfun12(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C, D), G)) &  (r1_mesfunc5(k3_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k10_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C)), k12_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C), k7_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C, D)), H) &  (k7_mesfunc5(k3_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k10_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C)), k12_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C), k7_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C, D)), H)=k7_mesfunc5(k2_zfmisc_1(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k9_prob_1(k2_zfmisc_1(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k3_measur10(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k10_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C)), k6_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C))), k8_mesfun12(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k10_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C)), k6_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C), k12_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C), k7_measur13(k1_nat_1(A, 1), F, B, C, D)), k8_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C, D)), G) &  ( (! [J] :  (m1_subset_1(J, k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B))) => r1_mesfunc5(k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C, D), k2_mesfun12(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k6_numbers, G, J))) )  &  ( (! [J] :  (m2_subset_1(J, k1_zfmisc_1(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B))), k10_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C))) => v1_mesfunc1(I, k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k10_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C)), J)) )  &  (r1_mesfunc5(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k10_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C)), k12_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C), k7_measur13(k1_nat_1(A, 1), F, B, C, D)), I) &  (k7_mesfunc5(k2_zfmisc_1(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k9_prob_1(k2_zfmisc_1(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k3_measur10(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k10_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C)), k6_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C))), k8_mesfun12(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k10_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C)), k6_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C), k12_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C), k7_measur13(k1_nat_1(A, 1), F, B, C, D)), k8_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C, D)), G)=k7_mesfunc5(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k10_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C)), k12_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C), k7_measur13(k1_nat_1(A, 1), F, B, C, D)), I) &  (r2_tarski(I, k9_lpspace1(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k10_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C)), k12_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C), k7_measur13(k1_nat_1(A, 1), F, B, C, D)))) & k7_mesfunc5(k3_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k10_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C)), k12_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C), k7_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C, D)), H)=k7_mesfunc5(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k10_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C)), k12_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B), k5_measur13(k1_nat_1(A, 1), F, B, C), k7_measur13(k1_nat_1(A, 1), F, B, C, D)), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
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(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_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
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(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(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(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc13_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(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
fof(cc15_card_3, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc15_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v3_valued_0(A) & v7_valued_0(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v3_valued_0(A)) ) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
fof(cc16_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(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
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_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_1(A)) ) ).
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_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(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_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(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_setfam_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_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(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (v6_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v6_valued_0(C)) ) ) ) ).
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) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(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(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
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_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_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_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
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_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(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_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_setfam_1, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  ~ (v1_xboole_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(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(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_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_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
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_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(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_setfam_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  ~ (v2_setfam_1(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_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(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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
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_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(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_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(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_setfam_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v2_setfam_1(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(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(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
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_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_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_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
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_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
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_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(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(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_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_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_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_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(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(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_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_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
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_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(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(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
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_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) &  (v12_valued_0(C) &  (v6_supinf_2(C) & v4_measure1(C, A, B)) ) ) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, B, k6_numbers) &  (v12_valued_0(C) &  (v6_supinf_2(C) & v2_measure1(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(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(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
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_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
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_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_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_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(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(d12_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur13(C, A, B) => k10_measur13(A, B, C)=k1_funct_1(k9_measur13(A, B, C), A)) ) ) ) ) ) ).
fof(d14_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur13(C, A, B) =>  (! [D] :  (m3_measur13(D, A, B, C) => k12_measur13(A, B, C, D)=k1_funct_1(k11_measur13(A, B, C, D), A)) ) ) ) ) ) ) ) ).
fof(d17_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur13(C, k1_nat_1(A, 1), B) =>  (! [D] :  (m3_measur13(D, k1_nat_1(A, 1), B, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(A, 1), B), k6_numbers))))  =>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) &  (v3_card_1(F, k1_nat_1(A, 1)) & v1_finseq_1(F)) ) )  =>  (F=k14_measur13(A, B, C, D, E) <=>  (k1_funct_1(F, 1)=E &  (! [G] :  (v7_ordinal1(G) =>  ~ ( (r1_xxreal_0(1, G) &  ( ~ (r1_xxreal_0(k1_nat_1(A, 1), G))  &  (! [H] :  ( (v7_ordinal1(H) &  ~ (v8_ordinal1(H)) )  =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_measur13(H, k4_measur13(k1_nat_1(A, 1), H, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(H, 1), B)), k6_numbers))))  =>  ~ ( (H=k3_xxreal_3(k1_nat_1(A, 1), G) &  (I=k1_funct_1(F, G) & k1_funct_1(F, k1_nat_1(G, 1))=k7_mesfun12(k3_measur13(H, k4_measur13(k1_nat_1(A, 1), H, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(H, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(H, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(H, 1), B, C, D), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur13(C, k1_nat_1(A, 1), B) =>  (! [D] :  (m3_measur13(D, k1_nat_1(A, 1), B, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(A, 1), B), k6_numbers))))  =>  (r1_measur13(A, B, C, D, E) <=>  (! [F] :  ( (v7_ordinal1(F) &  ~ (v8_ordinal1(F)) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_nat_1(A, 1), F))  &  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k6_numbers))))  =>  (! [H] :  ( (v1_funct_1(H) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B)), k6_numbers))))  =>  ~ ( (G=k1_funct_1(k14_measur13(A, B, C, D, E), k3_xxreal_3(k1_nat_1(A, 1), F)) &  (H=k1_funct_1(k14_measur13(F, k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C), k7_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C, D), k9_mesfunc1(k3_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), G)), 2) &  (! [I] :  (m1_subset_1(I, k3_measur13(F, k4_measur13(k1_nat_1(A, 1), F, B))) =>  ~ (r1_xxreal_0(k1_xxreal_0, k1_funct_1(H, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) )  => k3_measur13(A, B)=k1_funct_1(k2_measur13(A, B), A)) ) ) ) ).
fof(d5_measur10, axiom,  (! [A] :  (! [B] :  (! [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] :  ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  => k3_measur10(A, B, C, D)=a_4_4_measur10(A, B, C, D)) ) ) ) ) ) ).
fof(dt_k10_measur13, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  & m1_measur13(C, A, B)) )  =>  ( ~ (v1_xboole_0(k10_measur13(A, B, C)))  &  (v1_prob_1(k10_measur13(A, B, C), k3_measur13(A, B)) &  (v4_prob_1(k10_measur13(A, B, C), k3_measur13(A, B)) & m1_subset_1(k10_measur13(A, B, C), k1_zfmisc_1(k1_zfmisc_1(k3_measur13(A, B))))) ) ) ) ) ).
fof(dt_k11_measur13, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  &  (m1_measur13(C, A, B) & m3_measur13(D, A, B, C)) ) )  => m3_measur13(k11_measur13(A, B, C, D), A, k2_measur13(A, B), k9_measur13(A, B, C))) ) ).
fof(dt_k12_measur13, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  &  (m1_measur13(C, A, B) & m3_measur13(D, A, B, C)) ) )  =>  (v1_funct_1(k12_measur13(A, B, C, D)) &  (v1_funct_2(k12_measur13(A, B, C, D), k10_measur13(A, B, C), k6_numbers) &  (v12_valued_0(k12_measur13(A, B, C, D)) &  (v6_supinf_2(k12_measur13(A, B, C, D)) &  (v4_measure1(k12_measur13(A, B, C, D), k3_measur13(A, B), k10_measur13(A, B, C)) & m1_subset_1(k12_measur13(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k10_measur13(A, B, C), k6_numbers)))) ) ) ) ) ) ) ).
fof(dt_k14_measur13, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) & v1_finseq_1(B)) ) ) )  &  (m1_measur13(C, k1_nat_1(A, 1), B) &  (m3_measur13(D, k1_nat_1(A, 1), B, C) &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(A, 1), B), k6_numbers)))) ) ) ) )  =>  (v1_relat_1(k14_measur13(A, B, C, D, E)) &  (v1_funct_1(k14_measur13(A, B, C, D, E)) &  (v3_card_1(k14_measur13(A, B, C, D, E), k1_nat_1(A, 1)) & v1_finseq_1(k14_measur13(A, B, C, D, E))) ) ) ) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_measur13, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) ) )  =>  ~ (v1_xboole_0(k1_measur13(A, B, C))) ) ) ).
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_numbers, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xxreal_0, axiom, $true).
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_zfmisc_1, axiom, $true).
fof(dt_k2_measur13, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k2_measur13(A, B)) &  (v1_funct_1(k2_measur13(A, B)) &  (v3_card_1(k2_measur13(A, B), A) & v1_finseq_1(k2_measur13(A, B))) ) ) ) ) ).
fof(dt_k2_mesfun12, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))))  & m1_subset_1(E, A)) ) )  =>  (v1_funct_1(k2_mesfun12(A, B, C, D, E)) & m1_subset_1(k2_mesfun12(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
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_measur10, axiom,  (! [A, B, C, D] :  ( ( ( ~ (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_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) ) )  => m2_srings_3(k3_measur10(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(dt_k3_measur13, axiom, $true).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_xcmplx_0, axiom, $true).
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_k4_measur13, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) ) )  =>  (v1_relat_1(k4_measur13(A, B, C)) &  (v2_relat_1(k4_measur13(A, B, C)) &  (v1_funct_1(k4_measur13(A, B, C)) &  (v3_card_1(k4_measur13(A, B, C), B) & v1_finseq_1(k4_measur13(A, B, C))) ) ) ) ) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_measur13, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) )  & m1_measur13(D, A, C)) ) )  => m1_measur13(k5_measur13(A, B, C, D), B, k4_measur13(A, B, C))) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_measur13, axiom,  (! [A, B, C, D] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) )  & m1_measur13(D, A, C)) ) )  =>  ( ~ (v1_xboole_0(k6_measur13(A, B, C, D)))  &  (v1_prob_1(k6_measur13(A, B, C, D), k1_measur13(A, B, C)) &  (v4_prob_1(k6_measur13(A, B, C, D), k1_measur13(A, B, C)) & m1_subset_1(k6_measur13(A, B, C, D), k1_zfmisc_1(k1_zfmisc_1(k1_measur13(A, B, C))))) ) ) ) ) ).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_xcmplx_0, axiom, $true).
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_measur13, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) )  &  (m1_measur13(D, A, C) & m3_measur13(E, A, C, D)) ) ) )  => m3_measur13(k7_measur13(A, B, C, D, E), B, k4_measur13(A, B, C), k5_measur13(A, B, C, D))) ) ).
fof(dt_k7_mesfun12, 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)))) ) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, C, k6_numbers) &  (v12_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(k2_zfmisc_1(A, B), k6_numbers)))) ) ) ) )  =>  (v1_funct_1(k7_mesfun12(A, B, C, D, E)) &  (v1_funct_2(k7_mesfun12(A, B, C, D, E), A, k6_numbers) & m1_subset_1(k7_mesfun12(A, B, C, D, E), 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) &  (v12_valued_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_xcmplx_0, axiom, $true).
fof(dt_k8_measur13, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) )  &  (m1_measur13(D, A, C) & m3_measur13(E, A, C, D)) ) ) )  =>  (v1_funct_1(k8_measur13(A, B, C, D, E)) &  (v1_funct_2(k8_measur13(A, B, C, D, E), k6_measur13(A, B, C, D), k6_numbers) &  (v12_valued_0(k8_measur13(A, B, C, D, E)) &  (v6_supinf_2(k8_measur13(A, B, C, D, E)) &  (v4_measure1(k8_measur13(A, B, C, D, E), k1_measur13(A, B, C), k6_measur13(A, B, C, D)) & m1_subset_1(k8_measur13(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k6_measur13(A, B, C, D), k6_numbers)))) ) ) ) ) ) ) ).
fof(dt_k8_mesfun12, 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) &  (v12_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, D, k6_numbers) &  (v12_valued_0(F) &  (v6_supinf_2(F) &  (v4_measure1(F, B, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(D, k6_numbers)))) ) ) ) ) ) ) ) ) )  =>  (v1_funct_1(k8_mesfun12(A, B, C, D, E, F)) &  (v1_funct_2(k8_mesfun12(A, B, C, D, E, F), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k6_numbers) &  (v12_valued_0(k8_mesfun12(A, B, C, D, E, F)) &  (v6_supinf_2(k8_mesfun12(A, B, C, D, E, F)) &  (v4_measure1(k8_mesfun12(A, B, C, D, E, F), k2_zfmisc_1(A, B), k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D))) & m1_subset_1(k8_mesfun12(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k9_prob_1(k2_zfmisc_1(A, B), k3_measur10(A, B, C, D)), k6_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) &  (v12_valued_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_measur13, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  & m1_measur13(C, A, B)) )  => m2_measur13(k9_measur13(A, B, C), A, k2_measur13(A, B))) ) ).
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_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_l1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) => l1_struct_0(A)) ) ).
fof(dt_l1_rlvect_1, axiom,  (! [A] :  (l1_rlvect_1(A) => l2_algstr_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (l2_struct_0(A) & l1_algstr_0(A)) ) ) ).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m1_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m1_measur10(C, A, B) =>  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) ) ) ) ).
fof(dt_m1_measur13, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m1_measur13(C, A, B) =>  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) ) ) ) ).
fof(dt_m1_srings_4, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m1_srings_4(C, A, B) =>  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m2_measur10(C, A, B) =>  (v1_srings_4(C, A, B) & m1_srings_4(C, A, B)) ) ) ) ) ).
fof(dt_m2_measur13, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m2_measur13(C, A, B) => m2_measur10(C, A, B)) ) ) ) ).
fof(dt_m2_srings_3, axiom,  (! [A] :  (! [B] :  (m2_srings_3(B, A) =>  ( ~ (v1_setfam_1(B))  &  (v2_finsub_1(B) &  (v1_srings_3(B) & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(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_m3_measur13, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  & m1_measur13(C, A, B)) )  =>  (! [D] :  (m3_measur13(D, A, B, C) =>  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) ) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(existence_l1_algstr_0, axiom,  (? [A] : l1_algstr_0(A)) ).
fof(existence_l1_rlvect_1, axiom,  (? [A] : l1_rlvect_1(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_algstr_0, axiom,  (? [A] : l2_algstr_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_m1_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (? [C] : m1_measur10(C, A, B)) ) ) ).
fof(existence_m1_measur13, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (? [C] : m1_measur13(C, A, B)) ) ) ).
fof(existence_m1_srings_4, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (? [C] : m1_srings_4(C, A, B)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (? [C] : m2_measur10(C, A, B)) ) ) ).
fof(existence_m2_measur13, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (? [C] : m2_measur13(C, A, B)) ) ) ).
fof(existence_m2_srings_3, axiom,  (! [A] :  (? [B] : m2_srings_3(B, A)) ) ).
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_m3_measur13, axiom,  (! [A, B, C] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) )  & m1_measur13(C, A, B)) )  =>  (? [D] : m3_measur13(D, A, B, C)) ) ) ).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1)).
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_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_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(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_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(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(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_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(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
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_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(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, 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(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(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(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_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(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_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(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_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_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(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_measur13, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (v1_relat_1(k2_measur13(A, B)) &  (v2_relat_1(k2_measur13(A, B)) &  (v1_funct_1(k2_measur13(A, B)) &  (v3_card_1(k2_measur13(A, B), A) & v1_finseq_1(k2_measur13(A, B))) ) ) ) ) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_prob_1, axiom,  (! [A] : v2_finsub_1(k1_zfmisc_1(A))) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc1_xxreal_0, axiom, v1_xxreal_0(k1_xxreal_0)).
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_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(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_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(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(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(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(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(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(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_measur13, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  ~ (v1_xboole_0(k3_measur13(A, B))) ) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_prob_1, axiom,  (! [A] : v1_prob_1(k1_zfmisc_1(A), A)) ).
fof(fc2_xreal_0, axiom,  ~ (v1_xreal_0(k1_xxreal_0)) ).
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(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(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(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(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(fc39_finseq_1, axiom,  (! [A, B, C] :  ( (v4_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(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_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_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_xxreal_0, axiom, v2_xxreal_0(k1_xxreal_0)).
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(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(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(fc4_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k6_xcmplx_0(A, B))) ) ).
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_prob_1, axiom,  (! [A] : v4_prob_1(k1_zfmisc_1(A), 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(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
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(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(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(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(fc64_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v1_rat_1(k1_funct_1(A, B))) ) ).
fof(fc65_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc66_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
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_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(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
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_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(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_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
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_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(fc90_valued_0, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
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_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(fraenkel_a_4_4_measur10, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_xboole_0(D))  &  (v1_prob_1(D, B) &  (v2_finsub_1(D) & m1_subset_1(D, k1_zfmisc_1(k1_zfmisc_1(B)))) ) )  &  ( ~ (v1_xboole_0(E))  &  (v1_prob_1(E, C) &  (v2_finsub_1(E) & m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(C)))) ) ) )  =>  (r2_hidden(A, a_4_4_measur10(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=k2_zfmisc_1(F, G)) ) ) ) ) ).
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(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(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_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(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_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(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc14_finseq_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)) ) ) ) ) ) ) ).
fof(rc16_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) &  (v6_valued_0(A) &  (v1_finseq_1(A) & v2_finseq_1(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_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_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_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(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) &  (v12_valued_0(C) &  (v6_supinf_2(C) & v2_measure1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(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_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_setfam_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_setfam_1(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_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc1_xxreal_3, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ~ (v1_xreal_0(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_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(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_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(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_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_setfam_1, axiom,  (? [A] :  ~ (v2_setfam_1(A)) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v4_valued_0(A) &  (v5_valued_0(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_xxreal_3, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v3_xxreal_0(A) &  ~ (v1_xreal_0(A)) ) ) ) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(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_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(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_setfam_1, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc3_srings_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v2_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) & v4_card_3(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, 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) &  (v6_valued_0(A) & v7_valued_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_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(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_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_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
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_srings_4, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (? [C] :  (m1_srings_4(C, A, B) &  ( ~ (v1_xboole_0(C))  &  (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) & v1_srings_4(C, A, 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_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_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) & v3_xxreal_0(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_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(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_ordinal1, axiom,  (? [A] : v7_ordinal1(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_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_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] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
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_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(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_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) &  (v12_valued_0(C) &  (v6_supinf_2(C) & v4_measure1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(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_valued_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_valued_0(B)) ) ) ) ) ) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_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(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(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_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
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_finseq_1, 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)) ) ) ) ) ) ) ) ) ) ).
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_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
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_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_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_m2_measur10, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m2_measur10(C, A, B) <=> m1_measur10(C, A, B)) ) ) ) ).
fof(redefinition_m2_measur13, axiom,  (! [A, B] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, A) & v1_finseq_1(B)) ) ) ) )  =>  (! [C] :  (m2_measur13(C, A, B) <=> m1_measur13(C, A, 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_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_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
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(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_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r4, axiom, r1_xxreal_0(0, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
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_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_rn2d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(2, 3))).
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_rn4d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(4, 3))).
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_rnm3d2, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm3d4, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
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_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom, r1_xxreal_0(1, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
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_rn1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d4, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn2d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(2, 3))) ).
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_rn4d3, axiom, r1_xxreal_0(1, k7_xcmplx_0(4, 3))).
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_rnm3d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
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__r1_rnm4d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(4), 3))) ).
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_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r4, axiom, r1_xxreal_0(2, 4)).
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_rn1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 2))) ).
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_rn2d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(2, 3))) ).
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_rn4d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(4, 3))) ).
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_rnm3d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
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_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom, r1_xxreal_0(3, 4)).
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_rm4, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 2))) ).
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_rn2d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(2, 3))) ).
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_rn4d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(4, 3))) ).
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_rnm1d4, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm3d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm3d4, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(3), 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm4d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(4), 3))) ).
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_r2, axiom,  ~ (r1_xxreal_0(4, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r3, axiom,  ~ (r1_xxreal_0(4, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom, r1_xxreal_0(4, 4)).
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_rn1d2, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d3, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn1d4, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(1, 4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rn2d3, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(2, 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_rn4d3, axiom,  ~ (r1_xxreal_0(4, k7_xcmplx_0(4, 3))) ).
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__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_r2, axiom, r1_xxreal_0(k4_xcmplx_0(1), 2)).
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_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
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_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_rn2d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(2, 3))).
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_rn4d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(4, 3))).
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_rnm3d2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm4d3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(4), 3))) ).
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_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_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__rm2_rnm3d2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
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_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_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_rn3d4, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(3, 4))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rnm3d2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
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_r3, axiom, r1_xxreal_0(k4_xcmplx_0(4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r4, axiom, r1_xxreal_0(k4_xcmplx_0(4), 4)).
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__rm4_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(4), k7_xcmplx_0(1, 2))).
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_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 2)).
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_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_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_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_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
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__rn1d2_rnm3d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
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_r4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 4)).
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_rn1d4, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 4))) ).
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_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
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_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), 2)).
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_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_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 2))).
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_rn3d4, axiom, r1_xxreal_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(3, 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__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_r3, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 3)).
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_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))).
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__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_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_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))) ).
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_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn2d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(2, 3))) ).
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_rn4d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(4, 3))) ).
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_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_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_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_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__rn4d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 3), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_r4, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(4, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn4d3_rn4d3, axiom, r1_xxreal_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(4, 3))).
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_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))) ).
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_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 3))).
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_rnm1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
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_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 2))).
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_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
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_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_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__rnm3d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rnm3d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
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__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
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_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_rn1d3_rn1d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
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_rn4d3_rn4d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(4, 3))=k7_xcmplx_0(4, 3)).
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__r0_rnm1d3_rnm1d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm2d3_rnm2d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
fof(rqRealAdd__k2_xcmplx_0__r1_r3_r4, axiom, k2_xcmplx_0(1, 3)=4).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
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_rm3_rm2, axiom, k2_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(2)).
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_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_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_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__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(2, k4_xcmplx_0(2))=0).
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_rm4_rm2, axiom, k2_xcmplx_0(2, k4_xcmplx_0(4))=k4_xcmplx_0(2)).
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_rnm2d3_rn4d3, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(4, 3)).
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__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(1))=2).
fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(2))=1).
fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom, k2_xcmplx_0(3, k4_xcmplx_0(3))=0).
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__r4_r0_r4, axiom, k2_xcmplx_0(4, 0)=4).
fof(rqRealAdd__k2_xcmplx_0__r4_rm1_r3, axiom, k2_xcmplx_0(4, k4_xcmplx_0(1))=3).
fof(rqRealAdd__k2_xcmplx_0__r4_rm2_r2, axiom, k2_xcmplx_0(4, k4_xcmplx_0(2))=2).
fof(rqRealAdd__k2_xcmplx_0__r4_rm3_r1, axiom, k2_xcmplx_0(4, k4_xcmplx_0(3))=1).
fof(rqRealAdd__k2_xcmplx_0__r4_rm4_r0, axiom, k2_xcmplx_0(4, k4_xcmplx_0(4))=0).
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_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 1)=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 3)=2).
fof(rqRealAdd__k2_xcmplx_0__rm1_r4_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 4)=3).
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_rm2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
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_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_rn4d3_rn1d3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(4, 3))=k7_xcmplx_0(1, 3)).
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_rnm1d3_rnm4d3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
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_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 2)=0).
fof(rqRealAdd__k2_xcmplx_0__rm2_r3_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 3)=1).
fof(rqRealAdd__k2_xcmplx_0__rm2_r4_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 4)=2).
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_rm2_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn1d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
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__rm3_r1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(2)).
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_r3_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 3)=0).
fof(rqRealAdd__k2_xcmplx_0__rm3_r4_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 4)=1).
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_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__rm4_r1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 1)=k4_xcmplx_0(3)).
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_r3_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 3)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r4_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 4)=0).
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_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_rn3d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))=2).
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_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_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__rn1d3_r0_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), 0)=k7_xcmplx_0(1, 3)).
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_rm1_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
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_rn2d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))=1).
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_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__rn1d4_r0_rn1d4, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), 0)=k7_xcmplx_0(1, 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_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_rn3d4_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(3, 4))=1).
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_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__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_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_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_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__rn3d2_r0_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), 0)=k7_xcmplx_0(3, 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_rn3d2_r3, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))=3).
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__rn3d4_rn1d4_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 4))=1).
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_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_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__rn4d3_r0_rn4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 3), 0)=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn4d3_rm2_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(4, 3), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
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__rnm1d2_r0_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
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_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_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_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_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__rnm1d3_r0_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
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_rm1_rnm4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
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_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_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__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_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_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_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_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_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__rnm2d3_r0_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
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_r2_rn4d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 2)=k7_xcmplx_0(4, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn1d3_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_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__rnm2d3_rnm4d3_rm2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=k4_xcmplx_0(2)).
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_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_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__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_rn1d4_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 4), k7_xcmplx_0(1, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
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_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(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r3_rm3, axiom, k6_xcmplx_0(0, 3)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r0_r4_rm4, axiom, k6_xcmplx_0(0, 4)=k4_xcmplx_0(4)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rm3_r3, axiom, k6_xcmplx_0(0, k4_xcmplx_0(3))=3).
fof(rqRealDiff__k6_xcmplx_0__r0_rm4_r4, axiom, k6_xcmplx_0(0, k4_xcmplx_0(4))=4).
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_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_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_rn4d3_rnm4d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(4, 3))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
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_rnm1d3_rn1d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
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_rnm2d3_rn2d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(2, 3)).
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__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r3_rm2, axiom, k6_xcmplx_0(1, 3)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r1_r4_rm3, axiom, k6_xcmplx_0(1, 4)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3, axiom, k6_xcmplx_0(1, k4_xcmplx_0(2))=3).
fof(rqRealDiff__k6_xcmplx_0__r1_rm3_r4, axiom, k6_xcmplx_0(1, k4_xcmplx_0(3))=4).
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_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_rn2d3_rn1d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
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_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_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__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r3_rm1, axiom, k6_xcmplx_0(2, 3)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r2_r4_rm2, axiom, k6_xcmplx_0(2, 4)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3, axiom, k6_xcmplx_0(2, k4_xcmplx_0(1))=3).
fof(rqRealDiff__k6_xcmplx_0__r2_rm2_r4, axiom, k6_xcmplx_0(2, k4_xcmplx_0(2))=4).
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_rn2d3_rn4d3, axiom, k6_xcmplx_0(2, k7_xcmplx_0(2, 3))=k7_xcmplx_0(4, 3)).
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_rn4d3_rn2d3, axiom, k6_xcmplx_0(2, k7_xcmplx_0(4, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom, k6_xcmplx_0(3, 0)=3).
fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom, k6_xcmplx_0(3, 1)=2).
fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1, axiom, k6_xcmplx_0(3, 2)=1).
fof(rqRealDiff__k6_xcmplx_0__r3_r3_r0, axiom, k6_xcmplx_0(3, 3)=0).
fof(rqRealDiff__k6_xcmplx_0__r3_r4_rm1, axiom, k6_xcmplx_0(3, 4)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r3_rm1_r4, axiom, k6_xcmplx_0(3, k4_xcmplx_0(1))=4).
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__r4_r0_r4, axiom, k6_xcmplx_0(4, 0)=4).
fof(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom, k6_xcmplx_0(4, 1)=3).
fof(rqRealDiff__k6_xcmplx_0__r4_r2_r2, axiom, k6_xcmplx_0(4, 2)=2).
fof(rqRealDiff__k6_xcmplx_0__r4_r3_r1, axiom, k6_xcmplx_0(4, 3)=1).
fof(rqRealDiff__k6_xcmplx_0__r4_r4_r0, axiom, k6_xcmplx_0(4, 4)=0).
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_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
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_r3_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 3)=k4_xcmplx_0(4)).
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_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
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_rm4_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(4))=3).
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_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_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_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_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_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_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_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__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
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_r2_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(4)).
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_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
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_rm4_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(4))=2).
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_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_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_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__rm3_r0_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 0)=k4_xcmplx_0(3)).
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_rm1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
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_rm3_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(3))=0).
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_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__rm4_r0_rm4, axiom, k6_xcmplx_0(k4_xcmplx_0(4), 0)=k4_xcmplx_0(4)).
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_rm2_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=k4_xcmplx_0(2)).
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_rm4_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(4))=0).
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_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_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_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_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=0).
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_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_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_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_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__rn1d3_r0_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), 0)=k7_xcmplx_0(1, 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_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_rn1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))=0).
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_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_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_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__rn1d4_r0_rn1d4, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), 0)=k7_xcmplx_0(1, 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_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_rn1d4_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 4), k7_xcmplx_0(1, 4))=0).
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_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_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__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_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_rn2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))=0).
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_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_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__rn3d2_r0_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 0)=k7_xcmplx_0(3, 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_rn1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))=1).
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_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__rn3d4_r0_rn3d4, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 4), 0)=k7_xcmplx_0(3, 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_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_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_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_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__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_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_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__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_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_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_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_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_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_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_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_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_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__rnm1d3_r0_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
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_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_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_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_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_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_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__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_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_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_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_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_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__rnm2d3_r0_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(2), 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_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_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_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__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_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_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_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_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_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__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_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_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_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_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__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_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_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(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
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_r3_rn1d3, axiom, k7_xcmplx_0(1, 3)=k7_xcmplx_0(1, 3)).
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_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
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_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_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_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_rn2d3_rn3d2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(3, 2)).
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_rn4d3_rn3d4, axiom, k7_xcmplx_0(1, k7_xcmplx_0(4, 3))=k7_xcmplx_0(3, 4)).
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_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_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_rnm2d3_rnm3d2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(3), 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__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_rn1d2_r4, axiom, k7_xcmplx_0(2, k7_xcmplx_0(1, 2))=4).
fof(rqRealDiv__k7_xcmplx_0__r2_rn4d3_rn3d2, axiom, k7_xcmplx_0(2, k7_xcmplx_0(4, 3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r3_r1_r3, axiom, k7_xcmplx_0(3, 1)=3).
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__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__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__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm3_r4_rnm3d4, axiom, k7_xcmplx_0(k4_xcmplx_0(3), 4)=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealDiv__k7_xcmplx_0__rn1d2_r2_rn1d4, axiom, k7_xcmplx_0(k7_xcmplx_0(1, 2), 2)=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=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_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_rn1d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 2))=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_rn1d4_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 4))=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__r0_rn3d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(3, 2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rnm1d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rnm2d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r1_r4_r4, axiom, k3_xcmplx_0(1, 4)=4).
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_rm3_rm3, axiom, k3_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
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_rn1d2_rn1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
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_rn2d3_rn2d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(2, 3)).
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_rn4d3_rn4d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(4, 3))=k7_xcmplx_0(4, 3)).
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_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_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__r1_rnm3d4_rnm3d4, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r2_r4, axiom, k3_xcmplx_0(2, 2)=4).
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_rn1d2_r1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 2))=1).
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_rn2d3_rn4d3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(2, 3))=k7_xcmplx_0(4, 3)).
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_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_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_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_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_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_rnm3d4_rnm3d2, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom, k3_xcmplx_0(3, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
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_rn2d3_r2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(2, 3))=2).
fof(rqRealMult__k3_xcmplx_0__r3_rn4d3_r4, axiom, k3_xcmplx_0(3, k7_xcmplx_0(4, 3))=4).
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_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_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_rnm4d3_rm4, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(4), 3))=k4_xcmplx_0(4)).
fof(rqRealMult__k3_xcmplx_0__r4_r0_r0, axiom, k3_xcmplx_0(4, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom, k3_xcmplx_0(4, 1)=4).
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_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_rn3d4_r3, axiom, k3_xcmplx_0(4, k7_xcmplx_0(3, 4))=3).
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_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_rnm3d4_rm3, axiom, k3_xcmplx_0(4, k7_xcmplx_0(k4_xcmplx_0(3), 4))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
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_r2_rm4, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(4)).
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_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_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_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_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_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_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_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_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_rnm3d4_rn3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 4))=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_r1_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(3)).
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_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_rn4d3_rm4, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(4, 3))=k4_xcmplx_0(4)).
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_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_rnm4d3_r4, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(4), 3))=4).
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_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_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_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_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_rnm3d4_r3, axiom, k3_xcmplx_0(k4_xcmplx_0(4), k7_xcmplx_0(k4_xcmplx_0(3), 4))=3).
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_r1_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(1, 2)).
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_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_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_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_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_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_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_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__rn1d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 0)=0).
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_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_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_rn3d4_rn1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(3, 4))=k7_xcmplx_0(1, 4)).
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_rnm3d4_rnm1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
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_r1_rn1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 4), 1)=k7_xcmplx_0(1, 4)).
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_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_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__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_rm2_rnm4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(4), 3)).
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_rn3d2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(3, 2))=1).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn3d4_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(3, 4))=k7_xcmplx_0(1, 2)).
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_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_rnm3d4_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(3), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), 0)=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_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_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_rn2d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(2, 3))=1).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(4, 3))=2).
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_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__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_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_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_rn1d3_rn1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 4)).
fof(rqRealMult__k3_xcmplx_0__rn3d4_rn2d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 2)).
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_rnm2d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 4), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
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__rn4d3_r1_rn4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), 1)=k7_xcmplx_0(4, 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_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_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_rnm1d4_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(4, 3), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
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__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_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_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_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_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_rn3d2_rnm3d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
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_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_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_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__rnm1d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=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_r4_rnm4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 4)=k7_xcmplx_0(k4_xcmplx_0(4), 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_rm4_rn4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(4))=k7_xcmplx_0(4, 3)).
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_rn3d4_rnm1d4, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(1), 4)).
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__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_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_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_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_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__rnm2d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=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_r2_rnm4d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 2)=k7_xcmplx_0(k4_xcmplx_0(4), 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_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_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_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__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_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_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_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_rn4d3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(4, 3))=k4_xcmplx_0(2)).
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_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_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__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_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_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_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_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_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_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__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_rn3d4_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(3, 4))=k4_xcmplx_0(1)).
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_rnm1d4_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3), k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 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(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r3_rm3, axiom, k4_xcmplx_0(3)=k4_xcmplx_0(3)).
fof(rqRealNeg__k4_xcmplx_0__r4_rm4, axiom, k4_xcmplx_0(4)=k4_xcmplx_0(4)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm3_r3, axiom, k4_xcmplx_0(k4_xcmplx_0(3))=3).
fof(rqRealNeg__k4_xcmplx_0__rm4_r4, axiom, k4_xcmplx_0(k4_xcmplx_0(4))=4).
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__rn1d3_rnm1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
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__rn2d3_rnm2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
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__rn3d4_rnm3d4, axiom, k4_xcmplx_0(k7_xcmplx_0(3, 4))=k7_xcmplx_0(k4_xcmplx_0(3), 4)).
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__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
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__rnm1d4_rn1d4, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 4))=k7_xcmplx_0(1, 4)).
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__rnm3d2_rn3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 2)).
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__rnm4d3_rn4d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4), 3))=k7_xcmplx_0(4, 3)).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, 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(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(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, 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(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(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(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(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(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(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(t12_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m2_measur13(E, A, D) =>  ( (r1_xxreal_0(C, B) & r1_xxreal_0(B, A))  => k6_measur13(A, C, D, E)=k6_measur13(B, C, k4_measur13(A, B, D), k5_measur13(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
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(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(t14_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m2_measur13(E, A, D) =>  ( (r1_xxreal_0(C, B) & r1_xxreal_0(B, A))  => k5_measur13(A, C, D, E)=k5_measur13(B, C, k4_measur13(A, B, D), k5_measur13(A, B, D, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (r1_xxreal_0(1, 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(t17_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m2_measur13(E, A, D) =>  (! [F] :  (m3_measur13(F, A, D, E) =>  ( (r1_xxreal_0(C, B) & r1_xxreal_0(B, A))  => k8_measur13(A, C, D, E, F)=k8_measur13(B, C, k4_measur13(A, B, D), k5_measur13(A, B, D, E), k7_measur13(A, B, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) )  =>  (! [E] :  (m2_measur13(E, A, D) =>  (! [F] :  (m3_measur13(F, A, D, E) =>  ( (r1_xxreal_0(C, B) & r1_xxreal_0(B, A))  => k7_measur13(A, C, D, E, F)=k7_measur13(B, C, k4_measur13(A, B, D), k5_measur13(A, B, D, E), k7_measur13(A, B, D, E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
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_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t30_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) )  =>  (! [D] :  (m2_measur13(D, A, C) =>  (! [E] :  (m3_measur13(E, A, C, D) =>  ( (r1_xxreal_0(B, A) & v1_measur13(E, A, C, D))  => v1_measur13(k7_measur13(A, B, C, D, E), B, k4_measur13(A, B, C), k5_measur13(A, B, C, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(t35_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur13(C, k1_nat_1(A, 1), B) =>  (! [D] :  (m3_measur13(D, k1_nat_1(A, 1), B, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(A, 1), B), k6_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), k6_numbers))))  =>  ( (v1_measur13(D, k1_nat_1(A, 1), B, C) &  (E=F &  (r1_mesfunc5(k3_measur13(k1_nat_1(A, 1), B), k10_measur13(k1_nat_1(A, 1), B, C), k12_measur13(k1_nat_1(A, 1), B, C, D), E) &  (! [G] :  (m1_subset_1(G, k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B))) =>  ~ (r1_xxreal_0(k1_xxreal_0, k3_funct_2(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k6_numbers, k7_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D), k9_mesfunc1(k2_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), F)), G))) ) ) ) ) )  =>  (k7_mesfunc5(k3_measur13(k1_nat_1(A, 1), B), k10_measur13(k1_nat_1(A, 1), B, C), k12_measur13(k1_nat_1(A, 1), B, C, D), E)=k7_mesfunc5(k2_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), k9_prob_1(k2_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), k3_measur10(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k10_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C)), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C))), k8_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k10_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C)), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k12_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C), k7_measur13(k1_nat_1(A, 1), A, B, C, D)), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D)), F) &  ( (! [G] :  (m1_subset_1(G, k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B))) => r1_mesfunc5(k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D), k2_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k6_numbers, F, G))) )  &  ( (! [G] :  (m2_subset_1(G, k1_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B))), k10_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C))) => v1_mesfunc1(k7_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D), F), k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k10_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C)), G)) )  &  (r1_mesfunc5(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k10_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C)), k12_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C), k7_measur13(k1_nat_1(A, 1), A, B, C, D)), k7_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D), F)) &  (k7_mesfunc5(k2_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), k9_prob_1(k2_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), k3_measur10(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k10_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C)), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C))), k8_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k10_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C)), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k12_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C), k7_measur13(k1_nat_1(A, 1), A, B, C, D)), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D)), F)=k7_mesfunc5(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k10_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C)), k12_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C), k7_measur13(k1_nat_1(A, 1), A, B, C, D)), k7_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D), F)) & r2_tarski(k7_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D), F), k9_lpspace1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k10_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C)), k12_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C), k7_measur13(k1_nat_1(A, 1), A, B, C, D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t36_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur13(C, k1_nat_1(A, 1), B) =>  (! [D] :  (m3_measur13(D, k1_nat_1(A, 1), B, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(A, 1), B), k6_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), k6_numbers))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(A, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), k6_numbers))))  =>  ( (v1_measur13(D, k1_nat_1(A, 1), B, C) &  (E=F &  (E=G &  (r1_mesfunc5(k3_measur13(k1_nat_1(A, 1), B), k10_measur13(k1_nat_1(A, 1), B, C), k12_measur13(k1_nat_1(A, 1), B, C, D), E) &  (! [H] :  (m1_subset_1(H, k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B))) =>  ~ (r1_xxreal_0(k1_xxreal_0, k3_funct_2(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k6_numbers, k7_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D), k9_mesfunc1(k2_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), F)), H))) ) ) ) ) ) )  => k7_mesfunc5(k3_measur13(k1_nat_1(A, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), k10_measur13(k1_nat_1(A, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C)), k12_measur13(k1_nat_1(A, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k7_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D)), G)=k7_mesfunc5(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k10_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C)), k12_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B), k5_measur13(k1_nat_1(A, 1), A, B, C), k7_measur13(k1_nat_1(A, 1), A, B, C, D)), k7_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D), F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur13(C, k1_nat_1(A, 1), B) =>  (! [D] :  (m3_measur13(D, k1_nat_1(A, 1), B, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(A, 1), B), k6_numbers))))  =>  ( (v1_measur13(D, k1_nat_1(A, 1), B, C) &  (r1_measur13(A, B, C, D, E) & r1_mesfunc5(k3_measur13(k1_nat_1(A, 1), B), k10_measur13(k1_nat_1(A, 1), B, C), k12_measur13(k1_nat_1(A, 1), B, C, D), E)) )  =>  (! [F] :  ( (v7_ordinal1(F) &  ~ (v8_ordinal1(F)) )  =>  ~ ( ( ~ (r1_xxreal_0(k1_nat_1(A, 1), F))  &  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k6_numbers))))  =>  ~ ( (G=k1_funct_1(k14_measur13(A, B, C, D, E), k3_xxreal_3(k1_nat_1(A, 1), F)) & r1_mesfunc5(k3_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B)), k10_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C)), k12_measur13(k1_nat_1(F, 1), k4_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B), k5_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C), k7_measur13(k1_nat_1(A, 1), k1_nat_1(F, 1), B, C, D)), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t39_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) & v1_finseq_1(B)) ) ) )  =>  (! [C] :  (m2_measur13(C, k1_nat_1(A, 1), B) =>  (! [D] :  (m3_measur13(D, k1_nat_1(A, 1), B, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_measur13(k1_nat_1(A, 1), B), k6_numbers))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B)), k6_numbers))))  =>  (E=F =>  (k1_funct_1(k14_measur13(A, B, C, D, E), 1)=E & k1_funct_1(k14_measur13(A, B, C, D, E), 2)=k7_mesfun12(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B), k6_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C), k8_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B, C, D), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (r1_xxreal_0(k5_numbers, A) => r2_hidden(A, k4_ordinal1)) ) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t47_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) => r1_xxreal_0(k6_xcmplx_0(A, B), k5_numbers)) ) ) ) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(k5_numbers, A)=k5_numbers) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(A, 1)=A) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k1_nat_1(A, 1)) & v1_finseq_1(B)) ) ) )  => k3_measur13(k1_nat_1(A, 1), B)=k2_zfmisc_1(k3_measur13(A, k4_measur13(k1_nat_1(A, 1), A, B)), k1_measur13(k1_nat_1(A, 1), k1_nat_1(A, 1), B))) ) ) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) )  =>  ( (r1_xxreal_0(C, B) & r1_xxreal_0(B, A))  => k4_measur13(A, C, D)=k4_measur13(B, C, k4_measur13(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t7_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(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v7_ordinal1(C) &  ~ (v8_ordinal1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v2_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, A) & v1_finseq_1(D)) ) ) )  =>  ( (r1_xxreal_0(C, B) & r1_xxreal_0(B, A))  => k1_measur13(A, C, D)=k1_measur13(B, C, k4_measur13(A, B, D))) ) ) ) ) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(t9_measur13, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) )  =>  ( ~ (r1_xxreal_0(A, B))  => k3_measur13(k1_nat_1(B, 1), k4_measur13(A, k1_nat_1(B, 1), C))=k2_zfmisc_1(k3_measur13(B, k4_measur13(A, B, C)), k1_measur13(A, k1_nat_1(B, 1), C))) ) ) ) ) ) ) ).
