% Mizar problem: t24_grzlog_1,grzlog_1,1394,5 
fof(t24_grzlog_1, conjecture,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( (r1_tarski(k21_grzlog_1, A) & r2_grzlog_1(A, k29_grzlog_1, k17_grzlog_1(B, C)))  => r2_grzlog_1(A, k29_grzlog_1, k17_grzlog_1(C, B))) ) ) ) ) ) ) ).
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_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v8_grzlog_1(A) => v10_grzlog_1(A)) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(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(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(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(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(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
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_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => v6_valued_0(A)) ) ).
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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
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_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
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_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_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_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc3_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) => v5_relat_1(B, A)) ) ) ).
fof(cc3_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(cc3_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_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_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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_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_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_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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_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_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(cc6_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_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_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v7_grzlog_1(A) => v9_grzlog_1(A)) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v7_grzlog_1(A) => v8_grzlog_1(A)) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (v9_grzlog_1(A) => v10_grzlog_1(A)) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(d11_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k15_grzlog_1(A)=k3_funct_2(k21_polnot_1(k7_grzlog_1, k12_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1), k24_polnot_1(k7_grzlog_1, k12_grzlog_1, k8_grzlog_1), A)) ) ).
fof(d12_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k16_grzlog_1(A, B)=k4_binop_1(k21_polnot_1(k7_grzlog_1, k12_grzlog_1), k25_polnot_1(k7_grzlog_1, k12_grzlog_1, k9_grzlog_1), A, B)) ) ) ) ).
fof(d13_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k17_grzlog_1(A, B)=k4_binop_1(k21_polnot_1(k7_grzlog_1, k12_grzlog_1), k25_polnot_1(k7_grzlog_1, k12_grzlog_1, k10_grzlog_1), A, B)) ) ) ) ).
fof(d14_grzlog_1, axiom,  (! [A] :  (m2_subset_1(A, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) => k18_grzlog_1(A, B)=k15_grzlog_1(k16_grzlog_1(k15_grzlog_1(A), k15_grzlog_1(B)))) ) ) ) ).
fof(d1_grzlog_1, axiom, k1_grzlog_1=a_0_0_grzlog_1).
fof(d21_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (A=k21_grzlog_1 <=>  (! [B] :  (r2_hidden(B, A) <=>  ~ ( (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [D] :  (m2_subset_1(D, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [E] :  (m2_subset_1(E, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( ~ (B=k15_grzlog_1(k16_grzlog_1(C, k15_grzlog_1(C))))  &  ( ~ (B=k17_grzlog_1(k15_grzlog_1(k15_grzlog_1(C)), C))  &  ( ~ (B=k17_grzlog_1(C, k16_grzlog_1(C, C)))  &  ( ~ (B=k17_grzlog_1(k16_grzlog_1(C, D), k16_grzlog_1(D, C)))  &  ( ~ (B=k17_grzlog_1(k16_grzlog_1(C, k16_grzlog_1(D, E)), k16_grzlog_1(k16_grzlog_1(C, D), E)))  &  ( ~ (B=k17_grzlog_1(k16_grzlog_1(C, k18_grzlog_1(D, E)), k18_grzlog_1(k16_grzlog_1(C, D), k16_grzlog_1(C, E))))  &  ( ~ (B=k17_grzlog_1(k15_grzlog_1(k16_grzlog_1(C, D)), k18_grzlog_1(k15_grzlog_1(C), k15_grzlog_1(D))))  &  ( ~ (B=k17_grzlog_1(k17_grzlog_1(C, D), k17_grzlog_1(D, C)))  &  ~ (B=k17_grzlog_1(k17_grzlog_1(C, D), k17_grzlog_1(k15_grzlog_1(C), k15_grzlog_1(D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_grzlog_1, axiom, k2_grzlog_1=k12_finseq_1(k4_ordinal1, 1)).
fof(d32_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r2_grzlog_1(A, B, C) <=>  (? [D] :  (m2_finseq_1(D, k13_grzlog_1) &  (r2_tarski(C, k2_relset_1(k13_grzlog_1, D)) & v5_grzlog_1(D, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(d3_grzlog_1, axiom, k3_grzlog_1=k12_finseq_1(k4_ordinal1, 2)).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d4_grzlog_1, axiom, k4_grzlog_1=k12_finseq_1(k4_ordinal1, 3)).
fof(d5_grzlog_1, axiom, k5_grzlog_1=k1_enumset1(k2_grzlog_1, k3_grzlog_1, k4_grzlog_1)).
fof(d6_grzlog_1, axiom, k7_grzlog_1=k2_xboole_0(k1_grzlog_1, k6_grzlog_1)).
fof(d9_grzlog_1, axiom, k13_grzlog_1=k21_polnot_1(k7_grzlog_1, k12_grzlog_1)).
fof(dt_k10_finseq_1, axiom, $true).
fof(dt_k10_grzlog_1, axiom, m1_subset_1(k10_grzlog_1, k7_grzlog_1)).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m2_finseq_1(k12_finseq_1(A, B), A)) ) ).
fof(dt_k12_grzlog_1, axiom, m1_polnot_1(k12_grzlog_1, k7_grzlog_1)).
fof(dt_k13_grzlog_1, axiom,  ( ~ (v1_xboole_0(k13_grzlog_1))  &  (v3_polnot_1(k13_grzlog_1) & m1_subset_1(k13_grzlog_1, k1_zfmisc_1(k5_polnot_1(k7_grzlog_1)))) ) ).
fof(dt_k15_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) => m2_subset_1(k15_grzlog_1(A), k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k16_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => m2_subset_1(k16_grzlog_1(A, B), k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k17_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => m2_subset_1(k17_grzlog_1(A, B), k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k18_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => m2_subset_1(k18_grzlog_1(A, B), k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1))) ) ).
fof(dt_k1_binop_1, axiom, $true).
fof(dt_k1_enumset1, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_grzlog_1, axiom, v4_finseq_1(k1_grzlog_1)).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k21_grzlog_1, axiom,  ( ~ (v1_xboole_0(k21_grzlog_1))  & m1_subset_1(k21_grzlog_1, k1_zfmisc_1(k13_grzlog_1))) ).
fof(dt_k21_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  =>  ( ~ (v1_xboole_0(k21_polnot_1(A, B)))  &  (v3_polnot_1(k21_polnot_1(A, B)) & m1_subset_1(k21_polnot_1(A, B), k1_zfmisc_1(k5_polnot_1(A)))) ) ) ) ).
fof(dt_k24_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, A)) )  =>  (v1_funct_1(k24_polnot_1(A, B, C)) &  (v1_funct_2(k24_polnot_1(A, B, C), k21_polnot_1(A, B), k21_polnot_1(A, B)) & m1_subset_1(k24_polnot_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k21_polnot_1(A, B), k21_polnot_1(A, B))))) ) ) ) ).
fof(dt_k25_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, A)) )  =>  (v1_funct_1(k25_polnot_1(A, B, C)) &  (v1_funct_2(k25_polnot_1(A, B, C), k2_zfmisc_1(k21_polnot_1(A, B), k21_polnot_1(A, B)), k21_polnot_1(A, B)) & m1_subset_1(k25_polnot_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k21_polnot_1(A, B), k21_polnot_1(A, B)), k21_polnot_1(A, B))))) ) ) ) ).
fof(dt_k29_grzlog_1, axiom, m1_subset_1(k29_grzlog_1, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1)))).
fof(dt_k2_grzlog_1, axiom,  (v1_relat_1(k2_grzlog_1) &  (v1_funct_1(k2_grzlog_1) & v1_finseq_1(k2_grzlog_1)) ) ).
fof(dt_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => m1_subset_1(k2_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k2_xboole_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_grzlog_1, axiom,  (v1_relat_1(k3_grzlog_1) &  (v1_funct_1(k3_grzlog_1) & v1_finseq_1(k3_grzlog_1)) ) ).
fof(dt_k4_binop_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) )  => m1_subset_1(k4_binop_1(A, B, C, D), A)) ) ).
fof(dt_k4_grzlog_1, axiom,  (v1_relat_1(k4_grzlog_1) &  (v1_funct_1(k4_grzlog_1) & v1_finseq_1(k4_grzlog_1)) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k5_finseq_1, axiom, $true).
fof(dt_k5_grzlog_1, axiom,  ( ~ (v1_xboole_0(k5_grzlog_1))  & v4_finseq_1(k5_grzlog_1)) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_polnot_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  ( ~ (v1_xboole_0(k5_polnot_1(A)))  & v4_finseq_1(k5_polnot_1(A))) ) ) ).
fof(dt_k6_grzlog_1, axiom,  ( ~ (v1_xboole_0(k6_grzlog_1))  &  (v4_finseq_1(k6_grzlog_1) & v3_polnot_1(k6_grzlog_1)) ) ).
fof(dt_k7_grzlog_1, axiom,  ( ~ (v1_xboole_0(k7_grzlog_1))  & v4_finseq_1(k7_grzlog_1)) ).
fof(dt_k8_grzlog_1, axiom, m1_subset_1(k8_grzlog_1, k7_grzlog_1)).
fof(dt_k9_grzlog_1, axiom, m1_subset_1(k9_grzlog_1, k7_grzlog_1)).
fof(dt_k9_setfam_1, axiom,  (! [A] : m1_subset_1(k9_setfam_1(A), k1_zfmisc_1(k1_zfmisc_1(A)))) ).
fof(dt_m1_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(dt_m1_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v1_funct_1(B) &  (v1_finseq_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ) ).
fof(dt_m2_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(existence_m1_finseq_1, axiom,  (! [A] :  (? [B] : m1_finseq_1(B, A)) ) ).
fof(existence_m1_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (? [B] : m1_polnot_1(B, A)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_finseq_1, axiom,  (! [A] :  (? [B] : m2_finseq_1(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(fc10_finseq_1, axiom,  (! [A, B] : v1_finseq_1(k10_finseq_1(A, B))) ).
fof(fc10_grzlog_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (m1_subset_1(B, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(C, k21_polnot_1(k7_grzlog_1, k12_grzlog_1))) )  => v7_grzlog_1(k17_grzlog_1(k16_grzlog_1(A, k16_grzlog_1(B, C)), k16_grzlog_1(k16_grzlog_1(A, B), C)))) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc11_grzlog_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (m1_subset_1(B, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(C, k21_polnot_1(k7_grzlog_1, k12_grzlog_1))) )  => v7_grzlog_1(k17_grzlog_1(k16_grzlog_1(A, k18_grzlog_1(B, C)), k18_grzlog_1(k16_grzlog_1(A, B), k16_grzlog_1(A, C))))) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc12_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc13_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ~ (v1_zfmisc_1(k10_xtuple_0(A))) ) ) ).
fof(fc13_nat_1, axiom,  (! [A, B, C] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ~ (v8_ordinal1(C)) ) )  => v1_setfam_1(k1_enumset1(A, B, C))) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(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(fc19_finseq_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) & v3_finseq_1(B))  => v3_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc1_grzlog_1, axiom,  ( ~ (v1_xboole_0(k1_grzlog_1))  &  (v4_finseq_1(k1_grzlog_1) & v3_polnot_1(k1_grzlog_1)) ) ).
fof(fc1_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  &  (v1_relat_1(C) & v4_relat_1(C, A)) )  => v4_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc22_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_xtuple_0(A))) ) ).
fof(fc23_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k5_finseq_1(A))) ) ).
fof(fc26_finseq_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k10_finseq_1(A, B))) ) ).
fof(fc2_grzlog_1, axiom,  ( ~ (v1_xboole_0(k7_grzlog_1))  &  ( ~ (v1_zfmisc_1(k7_grzlog_1))  &  (v4_finseq_1(k7_grzlog_1) & v3_polnot_1(k7_grzlog_1)) ) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc32_finseq_1, axiom,  (! [A] : v3_card_1(k5_finseq_1(A), 1)) ).
fof(fc33_finseq_1, axiom,  (! [A, B] : v3_card_1(k10_finseq_1(A, B), 2)) ).
fof(fc33_finset_1, axiom,  (! [A, B] :  ( (v5_finset_1(A) & v5_finset_1(B))  => v5_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc35_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  => v1_finset_1(k1_funct_1(A, B))) ) ).
fof(fc36_finseq_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) & v4_finseq_1(B))  => v4_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc36_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_finset_1(A))  => v5_finset_1(k10_xtuple_0(A))) ) ).
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_finset_1, axiom,  (! [A, B, C] : v1_finset_1(k1_enumset1(A, B, C))) ).
fof(fc3_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) => v7_grzlog_1(k15_grzlog_1(k16_grzlog_1(A, k15_grzlog_1(A))))) ) ).
fof(fc4_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) => v7_grzlog_1(k17_grzlog_1(k15_grzlog_1(k15_grzlog_1(A)), A))) ) ).
fof(fc4_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  &  (v1_relat_1(C) & v5_relat_1(C, A)) )  => v5_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc4_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(A, B))) ) ) ).
fof(fc5_grzlog_1, axiom,  (! [A] :  (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) => v7_grzlog_1(k17_grzlog_1(A, k16_grzlog_1(A, A)))) ) ).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc61_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v6_valued_0(k5_finseq_1(A))) ) ).
fof(fc64_finseq_1, axiom,  (! [A] :  (v1_xreal_0(A) => v3_valued_0(k5_finseq_1(A))) ) ).
fof(fc65_finseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_valued_0(k5_finseq_1(A))) ) ).
fof(fc66_finseq_1, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_valued_0(k5_finseq_1(A))) ) ).
fof(fc6_finseq_1, axiom,  (! [A] :  (v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A))) ) ).
fof(fc6_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => v7_grzlog_1(k17_grzlog_1(k16_grzlog_1(A, B), k16_grzlog_1(B, A)))) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc7_finseq_1, axiom,  (! [A] : v1_finseq_1(k5_finseq_1(A))) ).
fof(fc7_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => v7_grzlog_1(k17_grzlog_1(k15_grzlog_1(k16_grzlog_1(A, B)), k18_grzlog_1(k15_grzlog_1(A), k15_grzlog_1(B))))) ) ).
fof(fc8_finseq_1, axiom,  (! [A, B] :  (v1_relat_1(k10_finseq_1(A, B)) & v1_funct_1(k10_finseq_1(A, B))) ) ).
fof(fc8_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => v7_grzlog_1(k17_grzlog_1(k17_grzlog_1(A, B), k17_grzlog_1(B, A)))) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc9_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc9_grzlog_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) & m1_subset_1(B, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)))  => v7_grzlog_1(k17_grzlog_1(k17_grzlog_1(A, B), k17_grzlog_1(k15_grzlog_1(A), k15_grzlog_1(B))))) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fraenkel_a_0_0_grzlog_1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_grzlog_1) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & A=k10_finseq_1(k5_numbers, B)) ) ) ) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
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_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
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(rc15_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
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_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_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_grzlog_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)) &  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v4_finseq_1(A)) ) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(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_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(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_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_grzlog_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))))  =>  (? [C] :  (m1_finseq_1(C, k13_grzlog_1) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k13_grzlog_1) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) & v5_grzlog_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_xboole_0(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc3_finset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc3_grzlog_1, axiom,  (? [A] :  (m1_subset_1(A, k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v7_grzlog_1(A) &  (v8_grzlog_1(A) &  (v9_grzlog_1(A) & v10_grzlog_1(A)) ) ) ) ) ) ) ) ) ) ) ).
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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ).
fof(rc4_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(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_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(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_finset_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
fof(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_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_finset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ).
fof(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_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_finset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
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_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd2_finseq_1, axiom,  (! [A, B] : k1_funct_1(k10_finseq_1(A, B), 1)=A) ).
fof(rd3_finseq_1, axiom,  (! [A, B] : k1_funct_1(k10_finseq_1(A, B), 2)=B) ).
fof(redefinition_k10_grzlog_1, axiom, k10_grzlog_1=k4_grzlog_1).
fof(redefinition_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k12_finseq_1(A, B)=k5_finseq_1(B)) ) ).
fof(redefinition_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => k2_relset_1(A, B)=k10_xtuple_0(B)) ) ).
fof(redefinition_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_k4_binop_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) )  => k4_binop_1(A, B, C, D)=k1_binop_1(B, C, D)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_grzlog_1, axiom, k6_grzlog_1=k5_grzlog_1).
fof(redefinition_k8_grzlog_1, axiom, k8_grzlog_1=k2_grzlog_1).
fof(redefinition_k9_grzlog_1, axiom, k9_grzlog_1=k3_grzlog_1).
fof(redefinition_k9_setfam_1, axiom,  (! [A] : k9_setfam_1(A)=k1_zfmisc_1(A)) ).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
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_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
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(t15_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k13_grzlog_1), k13_grzlog_1))) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (r2_tarski(C, A) => r2_grzlog_1(A, B, C)) ) ) ) ) ) ) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t21_grzlog_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(A, k1_zfmisc_1(k13_grzlog_1)))  =>  (! [B] :  (m2_subset_1(B, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  (! [C] :  (m2_subset_1(C, k5_polnot_1(k7_grzlog_1), k21_polnot_1(k7_grzlog_1, k12_grzlog_1)) =>  ( (r2_grzlog_1(A, k29_grzlog_1, B) & r2_grzlog_1(A, k29_grzlog_1, k17_grzlog_1(B, C)))  => r2_grzlog_1(A, k29_grzlog_1, C)) ) ) ) ) ) ) ).
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(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
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_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
