% Mizar problem: s3_abcmiz_1,abcmiz_1,5845,16 
include('Axioms/SET010^1.ax').
thf(n0_type, type, np__0: $i).
thf(n1_type, type, np__1: $i).
thf(n2_type, type, np__2: $i).
thf(f1_s3_abcmiz_1_type, type, f1_s3_abcmiz_1: $i).
thf(f2_s3_abcmiz_1_type, type, f2_s3_abcmiz_1: $i > $i).
thf(f3_s3_abcmiz_1_type, type, f3_s3_abcmiz_1: $i > $i).
thf(f4_s3_abcmiz_1_type, type, f4_s3_abcmiz_1: $i > $i > $i).
thf(f5_s3_abcmiz_1_type, type, f5_s3_abcmiz_1: $i > $i > $i).
thf(g1_lang1_type, type, g1_lang1: $i > $i > $i).
thf(g3_msualg_1_type, type, g3_msualg_1: $i > $i > $i > $i).
thf(k10_abcmiz_1_type, type, k10_abcmiz_1: $i).
thf(k10_finseq_1_type, type, k10_finseq_1: $i > $i > $i).
thf(k10_msafree_type, type, k10_msafree: $i > $i > $i).
thf(k10_xtuple_0_type, type, k10_xtuple_0: $i > $i).
thf(k11_lang1_type, type, k11_lang1: $i > $i > $i > $i > $i).
thf(k11_msafree_type, type, k11_msafree: $i > $i > $i).
thf(k12_abcmiz_1_type, type, k12_abcmiz_1: $i > $i).
thf(k13_abcmiz_1_type, type, k13_abcmiz_1: $i > $i).
thf(k13_finseq_1_type, type, k13_finseq_1: $i > $i).
thf(k14_abcmiz_1_type, type, k14_abcmiz_1: $i > $i).
thf(k14_funcop_1_type, type, k14_funcop_1: $i > $i > $i > $i > $i).
thf(k14_trees_3_type, type, k14_trees_3: $i > $i).
thf(k15_abcmiz_1_type, type, k15_abcmiz_1: $i > $i).
thf(k15_funcop_1_type, type, k15_funcop_1: $i > $i > $i > $i > $i > $i).
thf(k16_abcmiz_1_type, type, k16_abcmiz_1: $i > $i).
thf(k1_card_1_type, type, k1_card_1: $i > $i).
thf(k1_domain_1_type, type, k1_domain_1: $i > $i > $i > $i > $i).
thf(k1_dtconstr_type, type, k1_dtconstr: $i > $i > $i > $i).
thf(k1_finseq_1_type, type, k1_finseq_1: $i > $i).
thf(k1_funct_1_type, type, k1_funct_1: $i > $i > $i).
thf(k1_lang1_type, type, k1_lang1: $i > $i).
thf(k1_msafree3_type, type, k1_msafree3: $i > $i > $i).
thf(k1_msaterm_type, type, k1_msaterm: $i > $i > $i).
thf(k1_msualg_1_type, type, k1_msualg_1: $i > $i > $i).
thf(k1_nat_1_type, type, k1_nat_1: $i > $i > $i).
thf(k1_numbers_type, type, k1_numbers: $i).
thf(k1_partfun1_type, type, k1_partfun1: $i > $i > $i > $i > $i > $i > $i).
thf(k1_relset_1_type, type, k1_relset_1: $i > $i > $i).
thf(k1_tarski_type, type, k1_tarski: $i > $i).
thf(k1_trees_4_type, type, k1_trees_4: $i > $i).
thf(k1_xboole_0_type, type, k1_xboole_0: $i).
thf(k1_xtuple_0_type, type, k1_xtuple_0: $i > $i).
thf(k1_zfmisc_1_type, type, k1_zfmisc_1: $i > $i).
thf(k28_abcmiz_1_type, type, k28_abcmiz_1: $i > $i).
thf(k2_abcmiz_1_type, type, k2_abcmiz_1: $i).
thf(k2_card_3_type, type, k2_card_3: $i > $i).
thf(k2_finseq_1_type, type, k2_finseq_1: $i > $i).
thf(k2_funcop_1_type, type, k2_funcop_1: $i > $i > $i).
thf(k2_lang1_type, type, k2_lang1: $i > $i).
thf(k2_msaterm_type, type, k2_msaterm: $i > $i > $i > $i).
thf(k2_msualg_1_type, type, k2_msualg_1: $i > $i > $i).
thf(k2_pboole_type, type, k2_pboole: $i > $i > $i > $i).
thf(k2_relset_1_type, type, k2_relset_1: $i > $i > $i).
thf(k2_tarski_type, type, k2_tarski: $i > $i > $i).
thf(k2_trees_4_type, type, k2_trees_4: $i > $i > $i).
thf(k2_xboole_0_type, type, k2_xboole_0: $i > $i > $i).
thf(k2_xcmplx_0_type, type, k2_xcmplx_0: $i > $i > $i).
thf(k2_xtuple_0_type, type, k2_xtuple_0: $i > $i).
thf(k2_zfmisc_1_type, type, k2_zfmisc_1: $i > $i > $i).
thf(k30_abcmiz_1_type, type, k30_abcmiz_1: $i > $i > $i > $i).
thf(k31_abcmiz_1_type, type, k31_abcmiz_1: $i > $i > $i > $i > $i).
thf(k32_abcmiz_1_type, type, k32_abcmiz_1: $i > $i).
thf(k33_abcmiz_1_type, type, k33_abcmiz_1: $i > $i).
thf(k34_abcmiz_1_type, type, k34_abcmiz_1: $i > $i).
thf(k35_abcmiz_1_type, type, k35_abcmiz_1: $i > $i > $i).
thf(k36_abcmiz_1_type, type, k36_abcmiz_1: $i > $i > $i > $i).
thf(k3_card_3_type, type, k3_card_3: $i > $i).
thf(k3_finseq_1_type, type, k3_finseq_1: $i > $i).
thf(k3_finseq_2_type, type, k3_finseq_2: $i > $i).
thf(k3_funct_2_type, type, k3_funct_2: $i > $i > $i > $i > $i).
thf(k3_msafree_type, type, k3_msafree: $i > $i > $i).
thf(k3_pre_poly_type, type, k3_pre_poly: $i > $i > $i).
thf(k3_relat_1_type, type, k3_relat_1: $i > $i > $i).
thf(k3_tarski_type, type, k3_tarski: $i > $i).
thf(k3_xcmplx_0_type, type, k3_xcmplx_0: $i > $i > $i).
thf(k4_dtconstr_type, type, k4_dtconstr: $i > $i).
thf(k4_finseq_1_type, type, k4_finseq_1: $i > $i).
thf(k4_finseqop_type, type, k4_finseqop: $i > $i > $i > $i > $i).
thf(k4_msafree_type, type, k4_msafree: $i > $i > $i).
thf(k4_ordinal1_type, type, k4_ordinal1: $i).
thf(k4_pre_poly_type, type, k4_pre_poly: $i > $i > $i > $i).
thf(k4_tarski_type, type, k4_tarski: $i > $i > $i).
thf(k4_trees_4_type, type, k4_trees_4: $i > $i > $i).
thf(k4_xcmplx_0_type, type, k4_xcmplx_0: $i > $i).
thf(k51_abcmiz_1_type, type, k51_abcmiz_1: $i > $i).
thf(k52_abcmiz_1_type, type, k52_abcmiz_1: $i > $i).
thf(k5_finseq_1_type, type, k5_finseq_1: $i > $i).
thf(k5_msafree_type, type, k5_msafree: $i > $i > $i).
thf(k5_msafree3_type, type, k5_msafree3: $i > $i > $i > $i).
thf(k5_numbers_type, type, k5_numbers: $i).
thf(k5_trees_3_type, type, k5_trees_3: $i > $i).
thf(k6_abcmiz_1_type, type, k6_abcmiz_1: $i).
thf(k6_domain_1_type, type, k6_domain_1: $i > $i > $i).
thf(k6_finseq_2_type, type, k6_finseq_2: $i > $i > $i).
thf(k6_msafree_type, type, k6_msafree: $i > $i > $i > $i).
thf(k6_msaterm_type, type, k6_msaterm: $i > $i > $i > $i > $i).
thf(k6_numbers_type, type, k6_numbers: $i).
thf(k6_xcmplx_0_type, type, k6_xcmplx_0: $i > $i > $i).
thf(k7_abcmiz_1_type, type, k7_abcmiz_1: $i).
thf(k7_dtconstr_type, type, k7_dtconstr: $i > $i).
thf(k7_finseq_1_type, type, k7_finseq_1: $i > $i > $i).
thf(k7_msafree_type, type, k7_msafree: $i > $i > $i > $i).
thf(k7_msaterm_type, type, k7_msaterm: $i > $i > $i > $i).
thf(k7_relat_1_type, type, k7_relat_1: $i > $i > $i).
thf(k7_relset_1_type, type, k7_relset_1: $i > $i > $i > $i > $i).
thf(k7_xcmplx_0_type, type, k7_xcmplx_0: $i > $i > $i).
thf(k8_abcmiz_1_type, type, k8_abcmiz_1: $i).
thf(k8_funcop_1_type, type, k8_funcop_1: $i > $i > $i > $i).
thf(k8_msafree_type, type, k8_msafree: $i > $i > $i).
thf(k8_trees_4_type, type, k8_trees_4: $i > $i > $i > $i).
thf(k9_abcmiz_1_type, type, k9_abcmiz_1: $i).
thf(k9_finseq_1_type, type, k9_finseq_1: $i > $i).
thf(k9_xtuple_0_type, type, k9_xtuple_0: $i > $i).
thf(u1_lang1_type, type, u1_lang1: $i > $i).
thf(u1_msualg_1_type, type, u1_msualg_1: $i > $i).
thf(u1_struct_0_type, type, u1_struct_0: $i > $i).
thf(u2_msualg_1_type, type, u2_msualg_1: $i > $i).
thf(u3_msualg_1_type, type, u3_msualg_1: $i > $i > $i).
thf(u4_msualg_1_type, type, u4_msualg_1: $i > $i > $i).
thf(u4_struct_0_type, type, u4_struct_0: $i > $i).
thf(l1_lang1_type, type, l1_lang1: $i > $o).
thf(l1_msualg_1_type, type, l1_msualg_1: $i > $o).
thf(l1_struct_0_type, type, l1_struct_0: $i > $o).
thf(l2_msualg_1_type, type, l2_msualg_1: $i > $i > $o).
thf(l3_msualg_1_type, type, l3_msualg_1: $i > $i > $o).
thf(l5_struct_0_type, type, l5_struct_0: $i > $o).
thf(m1_abcmiz_1_type, type, m1_abcmiz_1: $i > $i > $i > $o).
thf(m1_dtconstr_type, type, m1_dtconstr: $i > $i > $i > $i > $o).
thf(m1_finseq_1_type, type, m1_finseq_1: $i > $i > $o).
thf(m1_finseq_2_type, type, m1_finseq_2: $i > $i > $o).
thf(m1_msaterm_type, type, m1_msaterm: $i > $i > $i > $i > $o).
thf(m1_subset_1_type, type, m1_subset_1: $i > $i > $o).
thf(m1_trees_3_type, type, m1_trees_3: $i > $i > $o).
thf(m1_trees_4_type, type, m1_trees_4: $i > $i > $i > $o).
thf(m2_abcmiz_1_type, type, m2_abcmiz_1: $i > $i > $i > $o).
thf(m2_finseq_1_type, type, m2_finseq_1: $i > $i > $o).
thf(m2_finseq_2_type, type, m2_finseq_2: $i > $i > $i > $o).
thf(m2_pboole_type, type, m2_pboole: $i > $i > $i > $i > $o).
thf(m2_subset_1_type, type, m2_subset_1: $i > $i > $i > $o).
thf(m3_pboole_type, type, m3_pboole: $i > $i > $i > $o).
thf(m4_abcmiz_1_type, type, m4_abcmiz_1: $i > $i > $i > $o).
thf(r1_lang1_type, type, r1_lang1: $i > $i > $i > $o).
thf(r1_tarski_type, type, r1_tarski: $i > $i > $o).
thf(r1_xxreal_0_type, type, r1_xxreal_0: $i > $i > $o).
thf(r2_pboole_type, type, r2_pboole: $i > $i > $i > $o).
thf(r2_relset_1_type, type, r2_relset_1: $i > $i > $i > $i > $o).
thf(r8_pboole_type, type, r8_pboole: $i > $i > $i > $o).
thf(v11_struct_0_type, type, v11_struct_0: $i > $o).
thf(v13_abcmiz_1_type, type, v13_abcmiz_1: $i > $i > $o).
thf(v13_struct_0_type, type, v13_struct_0: $i > $i > $o).
thf(v14_struct_0_type, type, v14_struct_0: $i > $o).
thf(v15_struct_0_type, type, v15_struct_0: $i > $o).
thf(v1_abcmiz_1_type, type, v1_abcmiz_1: $i > $o).
thf(v1_card_1_type, type, v1_card_1: $i > $o).
thf(v1_catalg_1_type, type, v1_catalg_1: $i > $i > $o).
thf(v1_dtconstr_type, type, v1_dtconstr: $i > $o).
thf(v1_facirc_1_type, type, v1_facirc_1: $i > $o).
thf(v1_finseq_1_type, type, v1_finseq_1: $i > $o).
thf(v1_finset_1_type, type, v1_finset_1: $i > $o).
thf(v1_funcop_1_type, type, v1_funcop_1: $i > $o).
thf(v1_funct_1_type, type, v1_funct_1: $i > $o).
thf(v1_funct_2_type, type, v1_funct_2: $i > $i > $i > $o).
thf(v1_instalg1_type, type, v1_instalg1: $i > $o).
thf(v1_int_1_type, type, v1_int_1: $i > $o).
thf(v1_lang1_type, type, v1_lang1: $i > $o).
thf(v1_membered_type, type, v1_membered: $i > $o).
thf(v1_msafree1_type, type, v1_msafree1: $i > $i > $o).
thf(v1_msualg_6_type, type, v1_msualg_6: $i > $i > $o).
thf(v1_ordinal1_type, type, v1_ordinal1: $i > $o).
thf(v1_partfun1_type, type, v1_partfun1: $i > $i > $o).
thf(v1_prob_2_type, type, v1_prob_2: $i > $o).
thf(v1_rat_1_type, type, v1_rat_1: $i > $o).
thf(v1_relat_1_type, type, v1_relat_1: $i > $o).
thf(v1_setfam_1_type, type, v1_setfam_1: $i > $o).
thf(v1_subset_1_type, type, v1_subset_1: $i > $i > $o).
thf(v1_trees_1_type, type, v1_trees_1: $i > $o).
thf(v1_trees_3_type, type, v1_trees_3: $i > $o).
thf(v1_xboole_0_type, type, v1_xboole_0: $i > $o).
thf(v1_xcmplx_0_type, type, v1_xcmplx_0: $i > $o).
thf(v1_xreal_0_type, type, v1_xreal_0: $i > $o).
thf(v1_xtuple_0_type, type, v1_xtuple_0: $i > $o).
thf(v1_xxreal_0_type, type, v1_xxreal_0: $i > $o).
thf(v1_xxreal_2_type, type, v1_xxreal_2: $i > $o).
thf(v1_zfmisc_1_type, type, v1_zfmisc_1: $i > $o).
thf(v2_abcmiz_1_type, type, v2_abcmiz_1: $i > $i > $o).
thf(v2_card_1_type, type, v2_card_1: $i > $o).
thf(v2_dtconstr_type, type, v2_dtconstr: $i > $o).
thf(v2_facirc_1_type, type, v2_facirc_1: $i > $o).
thf(v2_finseq_1_type, type, v2_finseq_1: $i > $o).
thf(v2_finset_1_type, type, v2_finset_1: $i > $o).
thf(v2_funcop_1_type, type, v2_funcop_1: $i > $o).
thf(v2_funct_1_type, type, v2_funct_1: $i > $o).
thf(v2_membered_type, type, v2_membered: $i > $o).
thf(v2_msafree_type, type, v2_msafree: $i > $i > $o).
thf(v2_ordinal1_type, type, v2_ordinal1: $i > $o).
thf(v2_relat_1_type, type, v2_relat_1: $i > $o).
thf(v2_relat_2_type, type, v2_relat_2: $i > $o).
thf(v2_struct_0_type, type, v2_struct_0: $i > $o).
thf(v2_trees_3_type, type, v2_trees_3: $i > $o).
thf(v2_xxreal_0_type, type, v2_xxreal_0: $i > $o).
thf(v2_xxreal_2_type, type, v2_xxreal_2: $i > $o).
thf(v3_abcmiz_1_type, type, v3_abcmiz_1: $i > $o).
thf(v3_card_1_type, type, v3_card_1: $i > $i > $o).
thf(v3_dtconstr_type, type, v3_dtconstr: $i > $o).
thf(v3_finseq_1_type, type, v3_finseq_1: $i > $o).
thf(v3_funct_1_type, type, v3_funct_1: $i > $o).
thf(v3_membered_type, type, v3_membered: $i > $o).
thf(v3_msualg_1_type, type, v3_msualg_1: $i > $i > $o).
thf(v3_ordinal1_type, type, v3_ordinal1: $i > $o).
thf(v3_relat_1_type, type, v3_relat_1: $i > $o).
thf(v3_trees_2_type, type, v3_trees_2: $i > $o).
thf(v3_trees_3_type, type, v3_trees_3: $i > $o).
thf(v3_trees_9_type, type, v3_trees_9: $i > $o).
thf(v3_xxreal_0_type, type, v3_xxreal_0: $i > $o).
thf(v3_xxreal_2_type, type, v3_xxreal_2: $i > $o).
thf(v4_funct_1_type, type, v4_funct_1: $i > $o).
thf(v4_membered_type, type, v4_membered: $i > $o).
thf(v4_msualg_1_type, type, v4_msualg_1: $i > $i > $o).
thf(v4_relat_1_type, type, v4_relat_1: $i > $i > $o).
thf(v4_trees_3_type, type, v4_trees_3: $i > $o).
thf(v4_xxreal_2_type, type, v4_xxreal_2: $i > $o).
thf(v5_abcmiz_1_type, type, v5_abcmiz_1: $i > $i > $i > $o).
thf(v5_finset_1_type, type, v5_finset_1: $i > $o).
thf(v5_membered_type, type, v5_membered: $i > $o).
thf(v5_ordinal1_type, type, v5_ordinal1: $i > $o).
thf(v5_relat_1_type, type, v5_relat_1: $i > $i > $o).
thf(v5_relat_2_type, type, v5_relat_2: $i > $o).
thf(v5_trees_3_type, type, v5_trees_3: $i > $o).
thf(v5_xxreal_2_type, type, v5_xxreal_2: $i > $o).
thf(v6_membered_type, type, v6_membered: $i > $o).
thf(v6_ordinal1_type, type, v6_ordinal1: $i > $o).
thf(v6_trees_3_type, type, v6_trees_3: $i > $o).
thf(v6_xxreal_2_type, type, v6_xxreal_2: $i > $o).
thf(v7_membered_type, type, v7_membered: $i > $o).
thf(v7_ordinal1_type, type, v7_ordinal1: $i > $o).
thf(v7_struct_0_type, type, v7_struct_0: $i > $o).
thf(v8_relat_2_type, type, v8_relat_2: $i > $o).
thf(v8_struct_0_type, type, v8_struct_0: $i > $o).
thf(abstractness_v1_lang1, axiom,  (! [A: $i] :  ( (l1_lang1 @ A)  =>  ( (v1_lang1 @ A)  =>  ( (= @ A)  @  ( (g1_lang1 @  (u1_struct_0 @ A) )  @  (u1_lang1 @ A) ) ) ) ) ) , file(lang1, v1_lang1)).
thf(abstractness_v3_msualg_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  &  ( (l3_msualg_1 @ B)  @ A) )  =>  ( ( (v3_msualg_1 @ B)  @ A)  =>  ( (= @ B)  @  ( ( (g3_msualg_1 @ A)  @  ( (u3_msualg_1 @ A)  @ B) )  @  ( (u4_msualg_1 @ A)  @ B) ) ) ) ) ) , file(msualg_1, v3_msualg_1)).
thf(antisymmetry_r2_hidden, axiom,  (! [A: $i, B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ~ ( ( (r2_hidden @ B)  @ A) ) ) ) , file(hidden, r2_hidden)).
thf(cc10_abcmiz_1, axiom,  (! [A: $i] :  ( (l1_msualg_1 @ A)  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v13_abcmiz_1 @ B)  @ A) ) ) ) ) ) ) ) ) , file(abcmiz_1, cc10_abcmiz_1)).
thf(cc10_card_1, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_zfmisc_1 @ A) )  =>  ( (v3_card_1 @ A)  @ np__1) ) ) , file(card_1, cc10_card_1)).
thf(cc10_finseq_1, axiom,  (! [A: $i] :  ( (v3_finseq_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_finseq_1 @ B) ) ) ) ) , file(finseq_1, cc10_finseq_1)).
thf(cc10_ordinal1, axiom,  (! [A: $i] :  ( (v6_ordinal1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v6_ordinal1 @ B) ) ) ) ) , file(ordinal1, cc10_ordinal1)).
thf(cc10_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( ~ ( (v2_struct_0 @ A) )  &  (v7_struct_0 @ A) )  =>  ( (v13_struct_0 @ A)  @ np__1) ) ) ) , file(struct_0, cc10_struct_0)).
thf(cc10_trees_3, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_trees_3 @ B)  @ A)  =>  (v3_trees_3 @ B) ) ) ) ) , file(trees_3, cc10_trees_3)).
thf(cc10_xxreal_2, axiom,  (! [A: $i] :  ( ( (v3_membered @ A)  &  (v1_xxreal_2 @ A) )  =>  ( (v3_membered @ A)  &  (v3_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc10_xxreal_2)).
thf(cc11_finseq_1, axiom,  (! [A: $i] :  ( (v3_finseq_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_finseq_1 @ B) ) ) ) ) , file(finseq_1, cc11_finseq_1)).
thf(cc11_membered, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k5_numbers) )  =>  (v6_membered @ A) ) ) , file(membered, cc11_membered)).
thf(cc11_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( (v13_struct_0 @ A)  @ np__1)  =>  ( ~ ( (v2_struct_0 @ A) )  &  (v7_struct_0 @ A) ) ) ) ) , file(struct_0, cc11_struct_0)).
thf(cc11_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_trees_3 @ B)  @ A) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @ B)  =>  ( (v5_relat_1 @ C)  @ A) ) ) ) ) , file(trees_3, cc11_trees_3)).
thf(cc11_xxreal_2, axiom,  (! [A: $i] :  ( ( (v3_membered @ A)  &  (v2_xxreal_2 @ A) )  =>  ( (v3_membered @ A)  &  (v4_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc11_xxreal_2)).
thf(cc12_membered, axiom,  (! [A: $i] :  ( (v1_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xcmplx_0 @ B) ) ) ) ) , file(membered, cc12_membered)).
thf(cc12_struct_0, axiom,  (! [A: $i] :  ( (l5_struct_0 @ A)  =>  ( ~ ( (v2_struct_0 @ A) )  =>  (v14_struct_0 @ A) ) ) ) , file(struct_0, cc12_struct_0)).
thf(cc12_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_1 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v1_funct_1 @ C)  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) )  =>  ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  (v3_trees_2 @ C) ) ) ) ) ) ) ) , file(trees_3, cc12_trees_3)).
thf(cc12_xxreal_2, axiom,  (! [A: $i] :  ( ( (v5_membered @ A)  &  (v5_xxreal_2 @ A) )  =>  ( (v5_membered @ A)  &  (v1_finset_1 @ A) ) ) ) , file(xxreal_2, cc12_xxreal_2)).
thf(cc13_membered, axiom,  (! [A: $i] :  ( (v2_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xxreal_0 @ B) ) ) ) ) , file(membered, cc13_membered)).
thf(cc13_struct_0, axiom,  (! [A: $i] :  ( (l5_struct_0 @ A)  =>  ( (v11_struct_0 @ A)  =>  (v14_struct_0 @ A) ) ) ) , file(struct_0, cc13_struct_0)).
thf(cc13_trees_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_xboole_0 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v4_trees_3 @ A)  &  ( (v5_trees_3 @ A)  &  (v6_trees_3 @ A) ) ) ) ) ) ) , file(trees_3, cc13_trees_3)).
thf(cc13_xxreal_2, axiom,  (! [A: $i] :  ( ( (v6_membered @ A)  &  (v4_xxreal_2 @ A) )  =>  ( (v6_membered @ A)  &  ( (v1_finset_1 @ A)  &  (v4_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, cc13_xxreal_2)).
thf(cc14_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xreal_0 @ B) ) ) ) ) , file(membered, cc14_membered)).
thf(cc14_struct_0, axiom,  (! [A: $i] :  ( (l5_struct_0 @ A)  =>  ( ( (v2_struct_0 @ A)  &  (v14_struct_0 @ A) )  =>  (v11_struct_0 @ A) ) ) ) , file(struct_0, cc14_struct_0)).
thf(cc14_trees_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v5_trees_3 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_trees_3 @ A) ) ) ) ) , file(trees_3, cc14_trees_3)).
thf(cc14_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  (v5_xxreal_2 @ A) )  =>  ( (v2_membered @ A)  &  (v3_membered @ A) ) ) ) , file(xxreal_2, cc14_xxreal_2)).
thf(cc15_membered, axiom,  (! [A: $i] :  ( (v4_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_rat_1 @ B) ) ) ) ) , file(membered, cc15_membered)).
thf(cc15_struct_0, axiom,  (! [A: $i] :  ( (l5_struct_0 @ A)  =>  ( ( ~ ( (v11_struct_0 @ A) )  &  (v14_struct_0 @ A) )  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(struct_0, cc15_struct_0)).
thf(cc15_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  (v4_trees_3 @ B) ) ) ) ) , file(trees_3, cc15_trees_3)).
thf(cc15_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  (v1_xboole_0 @ A) )  =>  ( (v2_membered @ A)  &  (v6_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc15_xxreal_2)).
thf(cc16_membered, axiom,  (! [A: $i] :  ( (v5_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_int_1 @ B) ) ) ) ) , file(membered, cc16_membered)).
thf(cc16_struct_0, axiom,  (! [A: $i] :  ( (l5_struct_0 @ A)  =>  ( (v11_struct_0 @ A)  =>  (v15_struct_0 @ A) ) ) ) , file(struct_0, cc16_struct_0)).
thf(cc16_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v2_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  (v5_trees_3 @ B) ) ) ) ) , file(trees_3, cc16_trees_3)).
thf(cc16_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  (v1_xxreal_2 @ A) )  =>  ( (v2_membered @ A)  &  ~ ( (v1_xboole_0 @ A) ) ) ) ) , file(xxreal_2, cc16_xxreal_2)).
thf(cc17_membered, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v7_ordinal1 @ B) ) ) ) ) , file(membered, cc17_membered)).
thf(cc17_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v7_struct_0 @ A) )  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(struct_0, cc17_struct_0)).
thf(cc17_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v3_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  (v6_trees_3 @ B) ) ) ) ) , file(trees_3, cc17_trees_3)).
thf(cc17_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  (v2_xxreal_2 @ A) )  =>  ( (v2_membered @ A)  &  ~ ( (v1_xboole_0 @ A) ) ) ) ) , file(xxreal_2, cc17_xxreal_2)).
thf(cc18_membered, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v6_membered @ A) ) ) , file(membered, cc18_membered)).
thf(cc19_membered, axiom,  (! [A: $i] :  ( (v1_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_membered @ B) ) ) ) ) , file(membered, cc19_membered)).
thf(cc1_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ~ ( (v3_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  =>  ~ ( (v1_xtuple_0 @ C) ) ) ) ) ) , file(abcmiz_1, cc1_abcmiz_1)).
thf(cc1_card_1, axiom,  (! [A: $i] :  ( (v1_card_1 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(card_1, cc1_card_1)).
thf(cc1_dtconstr, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_trees_3 @ B)  @ A) )  =>  (! [C: $i] :  ( ( (m1_finseq_1 @ C)  @ B)  =>  (v6_trees_3 @ C) ) ) ) ) , file(dtconstr, cc1_dtconstr)).
thf(cc1_facirc_1, axiom,  (! [A: $i] :  ( (v1_xtuple_0 @ A)  =>  ~ ( (v1_xboole_0 @ A) ) ) ) , file(facirc_1, cc1_facirc_1)).
thf(cc1_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_xboole_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v1_finseq_1 @ A) ) ) ) , file(finseq_1, cc1_finseq_1)).
thf(cc1_finset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_finset_1 @ A) ) ) , file(finset_1, cc1_finset_1)).
thf(cc1_funcop_1, axiom,  (! [A: $i] :  ( (v4_funct_1 @ A)  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  (v1_funct_1 @ B) ) )  =>  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_funcop_1 @ B) ) ) ) ) ) ) , file(funcop_1, cc1_funcop_1)).
thf(cc1_funct_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_funct_1 @ A) ) ) , file(funct_1, cc1_funct_1)).
thf(cc1_index_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  ( ~ ( (v1_xboole_0 @ B) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) ) ) ) , file(index_1, cc1_index_1)).
thf(cc1_membered, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  (v5_membered @ A) ) ) , file(membered, cc1_membered)).
thf(cc1_msafree1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v3_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) )  =>  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v1_prob_2 @ B) ) ) ) ) ) ) ) , file(msafree1, cc1_msafree1)).
thf(cc1_msafree3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ~ ( (v3_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  =>  ( (v1_relat_1 @ C)  &  (v1_funct_1 @ C) ) ) ) ) ) , file(msafree3, cc1_msafree3)).
thf(cc1_msaterm, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  ( (k1_msaterm @ A)  @ B) )  =>  (v1_finset_1 @ C) ) ) ) ) , file(msaterm, cc1_msaterm)).
thf(cc1_msualg_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  &  ( ( (v4_msualg_1 @ B)  @ A)  &  ( (l3_msualg_1 @ B)  @ A) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k10_xtuple_0 @  ( (u3_msualg_1 @ A)  @ B) ) )  =>  ~ ( (v1_xboole_0 @ C) ) ) ) ) ) , file(msualg_1, cc1_msualg_1)).
thf(cc1_ordinal1, axiom,  (! [A: $i] :  ( (v3_ordinal1 @ A)  =>  ( (v1_ordinal1 @ A)  &  (v2_ordinal1 @ A) ) ) ) , file(ordinal1, cc1_ordinal1)).
thf(cc1_partfun1, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( (v1_partfun1 @ C)  @ A) ) ) ) ) , file(partfun1, cc1_partfun1)).
thf(cc1_partit_2, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  ( (v1_relat_1 @ A)  &  ( (v2_relat_2 @ A)  &  ( (v5_relat_2 @ A)  &  (v8_relat_2 @ A) ) ) ) ) ) , file(partit_2, cc1_partit_2)).
thf(cc1_pboole, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) )  =>  ( (v1_relat_1 @ B)  &  ( ~ ( (v3_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) ) ) ) , file(pboole, cc1_pboole)).
thf(cc1_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_relat_1 @ A) ) ) , file(relat_1, cc1_relat_1)).
thf(cc1_relset_1, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_relat_1 @ C) ) ) ) , file(relset_1, cc1_relset_1)).
thf(cc1_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  (v7_struct_0 @ A) ) ) ) , file(struct_0, cc1_struct_0)).
thf(cc1_subset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_xboole_0 @ B) ) ) ) ) , file(subset_1, cc1_subset_1)).
thf(cc1_trees_3, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (v1_trees_3 @ A)  &  ( (v2_trees_3 @ A)  &  (v3_trees_3 @ A) ) ) ) ) , file(trees_3, cc1_trees_3)).
thf(cc1_xreal_0, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k1_numbers)  =>  (v1_xreal_0 @ A) ) ) , file(xreal_0, cc1_xreal_0)).
thf(cc20_membered, axiom,  (! [A: $i] :  ( (v2_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v2_membered @ B) ) ) ) ) , file(membered, cc20_membered)).
thf(cc21_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_membered @ B) ) ) ) ) , file(membered, cc21_membered)).
thf(cc22_membered, axiom,  (! [A: $i] :  ( (v4_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_membered @ B) ) ) ) ) , file(membered, cc22_membered)).
thf(cc23_membered, axiom,  (! [A: $i] :  ( (v5_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v5_membered @ B) ) ) ) ) , file(membered, cc23_membered)).
thf(cc24_membered, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v6_membered @ B) ) ) ) ) , file(membered, cc24_membered)).
thf(cc25_membered, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k5_numbers)  =>  (v6_membered @ A) ) ) , file(membered, cc25_membered)).
thf(cc26_membered, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v7_membered @ A) ) ) , file(membered, cc26_membered)).
thf(cc2_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ~ ( (v3_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_finseq_1 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  =>  (v6_trees_3 @ C) ) ) ) ) , file(abcmiz_1, cc2_abcmiz_1)).
thf(cc2_card_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_card_1 @ A) ) ) , file(card_1, cc2_card_1)).
thf(cc2_facirc_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (v7_ordinal1 @ A)  &  ~ ( (v1_xtuple_0 @ A) ) ) ) ) , file(facirc_1, cc2_facirc_1)).
thf(cc2_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finset_1 @ A) ) ) ) ) , file(finseq_1, cc2_finseq_1)).
thf(cc2_finseq_2, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_finseq_2 @ B)  @ A)  =>  (v4_funct_1 @ B) ) ) ) , file(finseq_2, cc2_finseq_2)).
thf(cc2_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_finset_1 @ B) ) ) ) ) , file(finset_1, cc2_finset_1)).
thf(cc2_funcop_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funcop_1 @ A) ) ) ) ) , file(funcop_1, cc2_funcop_1)).
thf(cc2_funct_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funct_1 @ A) ) ) ) ) , file(funct_1, cc2_funct_1)).
thf(cc2_instalg1, axiom,  (! [A: $i] :  ( (l1_msualg_1 @ A)  =>  ( ~ ( (v2_struct_0 @ A) )  =>  (v1_instalg1 @ A) ) ) ) , file(instalg1, cc2_instalg1)).
thf(cc2_membered, axiom,  (! [A: $i] :  ( (v5_membered @ A)  =>  (v4_membered @ A) ) ) , file(membered, cc2_membered)).
thf(cc2_msafree3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ~ ( (v3_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  =>  ( (v1_finset_1 @ C)  &  (v3_trees_2 @ C) ) ) ) ) ) , file(msafree3, cc2_msafree3)).
thf(cc2_msualg_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  &  ( ( (v4_msualg_1 @ B)  @ A)  &  ( (l3_msualg_1 @ B)  @ A) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k10_xtuple_0 @  ( (k6_finseq_2 @  (u1_struct_0 @ A) )  @  ( (u3_msualg_1 @ A)  @ B) ) ) )  =>  ~ ( (v1_xboole_0 @ C) ) ) ) ) ) , file(msualg_1, cc2_msualg_1)).
thf(cc2_ordinal1, axiom,  (! [A: $i] :  ( ( (v1_ordinal1 @ A)  &  (v2_ordinal1 @ A) )  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc2_ordinal1)).
thf(cc2_partfun1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xboole_0 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ~ ( ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) , file(partfun1, cc2_partfun1)).
thf(cc2_pboole, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v3_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) )  =>  ( (v1_relat_1 @ B)  &  ( ~ ( (v2_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) ) ) ) , file(pboole, cc2_pboole)).
thf(cc2_relat_1, axiom,  (! [A: $i] :  ( (v1_relat_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_relat_1 @ B) ) ) ) ) , file(relat_1, cc2_relat_1)).
thf(cc2_relset_1, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v5_relat_1 @ C)  @ B) ) ) ) ) , file(relset_1, cc2_relset_1)).
thf(cc2_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v7_struct_0 @ A) )  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(struct_0, cc2_struct_0)).
thf(cc2_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( ~ ( ( (v1_subset_1 @ B)  @ A) )  =>  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) ) , file(subset_1, cc2_subset_1)).
thf(cc2_trees_3, axiom,  (! [A: $i] :  ( (v2_trees_3 @ A)  =>  (v1_trees_3 @ A) ) ) , file(trees_3, cc2_trees_3)).
thf(cc2_xreal_0, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_xreal_0 @ A) ) ) , file(xreal_0, cc2_xreal_0)).
thf(cc2_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_finset_1 @ A) ) )  =>  ( (v2_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_2 @ A)  &  (v2_xxreal_2 @ A) ) ) ) ) ) , file(xxreal_2, cc2_xxreal_2)).
thf(cc3_card_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_card_1 @ A) ) ) , file(card_1, cc3_card_1)).
thf(cc3_facirc_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ~ ( (v1_facirc_1 @ A) ) ) ) , file(facirc_1, cc3_facirc_1)).
thf(cc3_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  ( (v5_relat_1 @ B)  @ A) ) ) ) , file(finseq_1, cc3_finseq_1)).
thf(cc3_finseq_2, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_finseq_2 @ B)  @ A)  =>  (v3_finseq_1 @ B) ) ) ) , file(finseq_2, cc3_finseq_2)).
thf(cc3_finset_1, axiom,  (! [A: $i, B: $i] :  ( (v1_finset_1 @ A)  =>  (! [C: $i] :  ( ( (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) ) ) ) ) ) ) ) , file(finset_1, cc3_finset_1)).
thf(cc3_funcop_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_xboole_0 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) ) ) ) , file(funcop_1, cc3_funcop_1)).
thf(cc3_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_funct_1 @ B) ) ) ) ) , file(funct_1, cc3_funct_1)).
thf(cc3_instalg1, axiom,  (! [A: $i] :  ( (l1_msualg_1 @ A)  =>  ( (v11_struct_0 @ A)  =>  (v1_instalg1 @ A) ) ) ) , file(instalg1, cc3_instalg1)).
thf(cc3_membered, axiom,  (! [A: $i] :  ( (v4_membered @ A)  =>  (v3_membered @ A) ) ) , file(membered, cc3_membered)).
thf(cc3_msafree3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ~ ( (v3_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  =>  (v3_trees_9 @ C) ) ) ) ) , file(msafree3, cc3_msafree3)).
thf(cc3_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc3_ordinal1)).
thf(cc3_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) )  =>  (! [D: $i] :  ( ( ( ( (m2_pboole @ D)  @ A)  @ B)  @ C)  =>  (v1_funcop_1 @ D) ) ) ) ) , file(pboole, cc3_pboole)).
thf(cc3_relat_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v3_relat_1 @ A) ) ) ) , file(relat_1, cc3_relat_1)).
thf(cc3_relset_1, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_xboole_0 @ C) ) ) ) ) , file(relset_1, cc3_relset_1)).
thf(cc3_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (v1_xboole_0 @ B)  =>  ( (v1_subset_1 @ B)  @ A) ) ) ) ) ) , file(subset_1, cc3_subset_1)).
thf(cc3_trees_3, axiom,  (! [A: $i] :  ( (v1_trees_3 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_trees_3 @ B) ) ) ) ) , file(trees_3, cc3_trees_3)).
thf(cc3_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v1_xcmplx_0 @ A) ) ) , file(xreal_0, cc3_xreal_0)).
thf(cc3_xxreal_2, axiom,  (! [A: $i] :  ( ( (v6_membered @ A)  &  ~ ( (v1_xboole_0 @ A) ) )  =>  ( (v6_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, cc3_xxreal_2)).
thf(cc4_abcmiz_1, axiom,  (! [A: $i] :  ( (l1_msualg_1 @ A)  =>  ( ( (v1_instalg1 @ A)  &  (v1_abcmiz_1 @ A) )  =>  ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (v1_instalg1 @ A) ) ) ) ) ) , file(abcmiz_1, cc4_abcmiz_1)).
thf(cc4_card_1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k4_ordinal1)  =>  (v1_finset_1 @ A) ) ) , file(card_1, cc4_card_1)).
thf(cc4_facirc_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ~ ( (v1_facirc_1 @ A) ) )  =>  (v1_xboole_0 @ A) ) ) , file(facirc_1, cc4_facirc_1)).
thf(cc4_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_xboole_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v1_finseq_1 @ A) ) ) ) , file(finseq_1, cc4_finseq_1)).
thf(cc4_finset_1, axiom,  (! [A: $i] :  ( (v1_zfmisc_1 @ A)  =>  (v1_finset_1 @ A) ) ) , file(finset_1, cc4_finset_1)).
thf(cc4_funct_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_funct_1 @ A) ) ) ) ) , file(funct_1, cc4_funct_1)).
thf(cc4_instalg1, axiom,  (! [A: $i] :  ( (l1_msualg_1 @ A)  =>  ( ( (v2_struct_0 @ A)  &  (v1_instalg1 @ A) )  =>  (v11_struct_0 @ A) ) ) ) , file(instalg1, cc4_instalg1)).
thf(cc4_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (v2_membered @ A) ) ) , file(membered, cc4_membered)).
thf(cc4_msafree3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_trees_2 @ A) ) )  =>  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_trees_2 @ A) ) ) ) ) ) , file(msafree3, cc4_msafree3)).
thf(cc4_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v5_ordinal1 @ A) ) ) , file(ordinal1, cc4_ordinal1)).
thf(cc4_pboole, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) )  =>  ( (v1_relat_1 @ B)  &  ( ~ ( (v3_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) ) ) ) , file(pboole, cc4_pboole)).
thf(cc4_relat_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v2_relat_1 @ A) ) ) ) , file(relat_1, cc4_relat_1)).
thf(cc4_relset_1, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @ A) ) )  =>  (v1_xboole_0 @ C) ) ) ) ) , file(relset_1, cc4_relset_1)).
thf(cc4_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  &  (v8_struct_0 @ A) ) ) ) ) , file(struct_0, cc4_struct_0)).
thf(cc4_subset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ~ ( ( (v1_subset_1 @ B)  @ A) ) ) ) ) ) , file(subset_1, cc4_subset_1)).
thf(cc4_trees_3, axiom,  (! [A: $i] :  ( (v2_trees_3 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v2_trees_3 @ B) ) ) ) ) , file(trees_3, cc4_trees_3)).
thf(cc4_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v1_xxreal_0 @ A) ) ) , file(xreal_0, cc4_xreal_0)).
thf(cc4_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  (v5_xxreal_2 @ A) )  =>  ( (v2_membered @ A)  &  ( (v3_xxreal_2 @ A)  &  (v4_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, cc4_xxreal_2)).
thf(cc5_card_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_finset_1 @ A) ) ) , file(card_1, cc5_card_1)).
thf(cc5_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) ) ) ) ) , file(finseq_1, cc5_finseq_1)).
thf(cc5_finset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  ~ ( (v1_zfmisc_1 @ A) ) ) ) , file(finset_1, cc5_finset_1)).
thf(cc5_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ~ ( (v3_funct_1 @ A) ) ) )  =>  ( ~ ( (v1_zfmisc_1 @ A) )  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) ) ) , file(funct_1, cc5_funct_1)).
thf(cc5_instalg1, axiom,  (! [A: $i] :  ( (l1_msualg_1 @ A)  =>  ( ( ~ ( (v11_struct_0 @ A) )  &  (v1_instalg1 @ A) )  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(instalg1, cc5_instalg1)).
thf(cc5_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (v1_membered @ A) ) ) , file(membered, cc5_membered)).
thf(cc5_ordinal1, axiom,  (! [A: $i] :  ( (v3_ordinal1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v3_ordinal1 @ B) ) ) ) ) , file(ordinal1, cc5_ordinal1)).
thf(cc5_pboole, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  ( ~ ( (v1_xboole_0 @ B) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) ) ) ) , file(pboole, cc5_pboole)).
thf(cc5_relat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) )  =>  ( (v4_relat_1 @ C)  @ A) ) ) ) ) , file(relat_1, cc5_relat_1)).
thf(cc5_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v8_struct_0 @ A) )  =>  ( ~ ( (v2_struct_0 @ A) )  &  ~ ( (v8_struct_0 @ A) ) ) ) ) ) , file(struct_0, cc5_struct_0)).
thf(cc5_subset_1, axiom,  (! [A: $i] :  ( (v1_zfmisc_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_zfmisc_1 @ B) ) ) ) ) , file(subset_1, cc5_subset_1)).
thf(cc5_trees_3, axiom,  (! [A: $i] :  ( (v3_trees_3 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_trees_3 @ B) ) ) ) ) , file(trees_3, cc5_trees_3)).
thf(cc5_xxreal_2, axiom,  (! [A: $i] :  ( ( (v2_membered @ A)  &  ( (v3_xxreal_2 @ A)  &  (v4_xxreal_2 @ A) ) )  =>  ( (v2_membered @ A)  &  (v5_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc5_xxreal_2)).
thf(cc6_card_1, axiom,  (! [A: $i] :  ( ( (v3_ordinal1 @ A)  &  (v1_finset_1 @ A) )  =>  (v7_ordinal1 @ A) ) ) , file(card_1, cc6_card_1)).
thf(cc6_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) , file(finseq_1, cc6_finseq_1)).
thf(cc6_finset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v5_finset_1 @ A) ) ) , file(finset_1, cc6_finset_1)).
thf(cc6_funct_1, axiom,  (! [A: $i] :  ( ( (v1_zfmisc_1 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_funct_1 @ A) ) ) ) ) , file(funct_1, cc6_funct_1)).
thf(cc6_ordinal1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc6_ordinal1)).
thf(cc6_relat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) )  =>  ( (v5_relat_1 @ C)  @ A) ) ) ) ) , file(relat_1, cc6_relat_1)).
thf(cc6_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v7_struct_0 @ A)  =>  (v8_struct_0 @ A) ) ) ) , file(struct_0, cc6_struct_0)).
thf(cc6_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_trees_1 @ B) ) ) ) ) ) , file(trees_3, cc6_trees_3)).
thf(cc6_xxreal_2, axiom,  (! [A: $i] :  ( ( (v3_membered @ A)  &  (v1_finset_1 @ A) )  =>  ( (v3_membered @ A)  &  (v5_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc6_xxreal_2)).
thf(cc7_card_1, axiom,  (! [A: $i] :  ( ( (v3_card_1 @ A)  @ k1_xboole_0)  =>  (v1_xboole_0 @ A) ) ) , file(card_1, cc7_card_1)).
thf(cc7_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finseq_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) ) , file(finseq_1, cc7_finseq_1)).
thf(cc7_finset_1, axiom,  (! [A: $i] :  ( (v5_finset_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_finset_1 @ B) ) ) ) ) , file(finset_1, cc7_finset_1)).
thf(cc7_funct_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v4_funct_1 @ A) ) ) , file(funct_1, cc7_funct_1)).
thf(cc7_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc7_ordinal1)).
thf(cc7_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) )  =>  ( (v1_xboole_0 @ B)  &  ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) ) ) ) ) ) ) , file(relat_1, cc7_relat_1)).
thf(cc7_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v8_struct_0 @ A) )  =>  ~ ( (v7_struct_0 @ A) ) ) ) ) , file(struct_0, cc7_struct_0)).
thf(cc7_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v2_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_finset_1 @ B) ) ) ) ) , file(trees_3, cc7_trees_3)).
thf(cc7_xxreal_2, axiom,  (! [A: $i] :  ( ( (v5_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v4_xxreal_2 @ A) ) )  =>  ( (v5_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v2_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, cc7_xxreal_2)).
thf(cc8_card_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (v3_card_1 @ A)  @ k1_xboole_0) ) ) , file(card_1, cc8_card_1)).
thf(cc8_finseq_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v3_finseq_1 @ A) ) ) , file(finseq_1, cc8_finseq_1)).
thf(cc8_finset_1, axiom,  (! [A: $i] :  ( (v5_finset_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v5_finset_1 @ B) ) ) ) ) , file(finset_1, cc8_finset_1)).
thf(cc8_funct_1, axiom,  (! [A: $i] :  ( (v4_funct_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) ) ) ) ) ) , file(funct_1, cc8_funct_1)).
thf(cc8_membered, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k1_numbers) )  =>  (v3_membered @ A) ) ) , file(membered, cc8_membered)).
thf(cc8_ordinal1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k4_ordinal1)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc8_ordinal1)).
thf(cc8_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) )  =>  ( (v1_xboole_0 @ B)  &  ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) ) ) ) ) ) ) , file(relat_1, cc8_relat_1)).
thf(cc8_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  ( (v13_struct_0 @ A)  @ k1_xboole_0) ) ) ) , file(struct_0, cc8_struct_0)).
thf(cc8_trees_3, axiom,  (! [A: $i] :  ( (v3_trees_3 @ A)  =>  (v4_funct_1 @ A) ) ) , file(trees_3, cc8_trees_3)).
thf(cc8_xxreal_2, axiom,  (! [A: $i] :  ( ( (v5_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v3_xxreal_2 @ A) ) )  =>  ( (v5_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, cc8_xxreal_2)).
thf(cc9_card_1, axiom,  (! [A: $i] :  ( ( (v3_card_1 @ A)  @ np__1)  =>  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_zfmisc_1 @ A) ) ) ) , file(card_1, cc9_card_1)).
thf(cc9_finseq_1, axiom,  (! [A: $i] :  ( (v3_finseq_1 @ A)  =>  (v4_funct_1 @ A) ) ) , file(finseq_1, cc9_finseq_1)).
thf(cc9_finset_1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v2_finset_1 @ A) ) ) ) , file(finset_1, cc9_finset_1)).
thf(cc9_funct_1, axiom,  (! [A: $i] :  ( (v4_funct_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_funct_1 @ B) ) ) ) ) , file(funct_1, cc9_funct_1)).
thf(cc9_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v6_ordinal1 @ A) ) ) , file(ordinal1, cc9_ordinal1)).
thf(cc9_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( (v13_struct_0 @ A)  @ k1_xboole_0)  =>  (v2_struct_0 @ A) ) ) ) , file(struct_0, cc9_struct_0)).
thf(cc9_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v3_trees_3 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v3_trees_2 @ B) ) ) ) ) , file(trees_3, cc9_trees_3)).
thf(cc9_xxreal_2, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  ( (v6_membered @ A)  &  (v3_xxreal_2 @ A) ) ) ) , file(xxreal_2, cc9_xxreal_2)).
thf(commutativity_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k5_numbers) )  =>  ( (= @  ( (k1_nat_1 @ A)  @ B) )  @  ( (k1_nat_1 @ B)  @ A) ) ) ) , file(nat_1, k1_nat_1)).
thf(commutativity_k2_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) )  =>  ( (= @  ( ( (k2_pboole @ A)  @ B)  @ C) )  @  ( ( (k2_pboole @ A)  @ C)  @ B) ) ) ) , file(pboole, k2_pboole)).
thf(commutativity_k2_tarski, axiom,  (! [A: $i, B: $i] :  ( (= @  ( (k2_tarski @ A)  @ B) )  @  ( (k2_tarski @ B)  @ A) ) ) , file(tarski, k2_tarski)).
thf(commutativity_k2_xboole_0, axiom,  (! [A: $i, B: $i] :  ( (= @  ( (k2_xboole_0 @ A)  @ B) )  @  ( (k2_xboole_0 @ B)  @ A) ) ) , file(xboole_0, k2_xboole_0)).
thf(commutativity_k2_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) , file(xcmplx_0, k2_xcmplx_0)).
thf(commutativity_k3_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @ B) )  @  ( (k3_xcmplx_0 @ B)  @ A) ) ) ) , file(xcmplx_0, k3_xcmplx_0)).
thf(connectedness_r1_xxreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  ( ( (r1_xxreal_0 @ A)  @ B)  |  ( (r1_xxreal_0 @ B)  @ A) ) ) ) , file(xxreal_0, r1_xxreal_0)).
thf(d10_msafree, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( ( (k7_msafree @ A)  @ B)  @ C) )  @  ( ( (replSep1 @  (^ [D: $i] :  ( ( ( (m1_dtconstr @ D)  @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) )  @  (k5_trees_3 @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) ) )  @  (k4_dtconstr @  ( (k5_msafree @ A)  @ B) ) ) ) )  @  (^ [D: $i] : D) )  @  (^ [D: $i] :  ~ ( ( (! [E: $i] :  ~ ( ( ( (r2_hidden @ E)  @  ( (k1_funct_1 @ B)  @ C) )  &  ( (= @ D)  @  (k1_trees_4 @  ( (k4_tarski @ E)  @ C) ) ) ) ) )  &  (! [E: $i] :  ( ( (m1_subset_1 @ E)  @  (u4_struct_0 @ A) )  =>  ~ ( ( ( (= @  ( (k4_tarski @ E)  @  (u1_struct_0 @ A) ) )  @  ( (k1_funct_1 @ D)  @ k1_xboole_0) )  &  ( (= @  ( (k2_msualg_1 @ A)  @ E) )  @ C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(msafree, d10_msafree)).
thf(d11_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u4_struct_0 @ A) )  =>  ( ( (v2_abcmiz_1 @ B)  @ A)  <=>  ( ~ ( ( (= @ B)  @ k9_abcmiz_1) )  &  ~ ( ( (= @ B)  @ k10_abcmiz_1) ) ) ) ) ) ) ) , file(abcmiz_1, d11_abcmiz_1)).
thf(d11_msafree, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (! [C: $i] :  ( ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @  (u1_struct_0 @ A) ) ) ) )  =>  ( ( (= @ C)  @  ( (k8_msafree @ A)  @ B) )  <=>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( (k1_funct_1 @ C)  @ D) )  @  ( ( (k7_msafree @ A)  @ B)  @ D) ) ) ) ) ) ) ) ) ) ) , file(msafree, d11_msafree)).
thf(d13_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (= @  (k12_abcmiz_1 @ A) )  @ k6_abcmiz_1) ) ) , file(abcmiz_1, d13_abcmiz_1)).
thf(d14_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (= @  (k13_abcmiz_1 @ A) )  @ k7_abcmiz_1) ) ) , file(abcmiz_1, d14_abcmiz_1)).
thf(d14_msafree, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  ( (= @  ( (k11_msafree @ A)  @ B) )  @  ( ( (g3_msualg_1 @ A)  @  ( (k8_msafree @ A)  @ B) )  @  ( (k10_msafree @ A)  @ B) ) ) ) ) ) ) , file(msafree, d14_msafree)).
thf(d15_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (= @  (k14_abcmiz_1 @ A) )  @ k8_abcmiz_1) ) ) , file(abcmiz_1, d15_abcmiz_1)).
thf(d16_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (= @  (k15_abcmiz_1 @ A) )  @ k10_abcmiz_1) ) ) , file(abcmiz_1, d16_abcmiz_1)).
thf(d17_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (= @  (k16_abcmiz_1 @ A) )  @ k9_abcmiz_1) ) ) , file(abcmiz_1, d17_abcmiz_1)).
thf(d18_pboole, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  (! [C: $i] :  ( ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) )  =>  ( ( ( (m3_pboole @ C)  @ A)  @ B)  <=>  ( ( (r2_pboole @ A)  @ C)  @ B) ) ) ) ) ) ) , file(pboole, d18_pboole)).
thf(d1_finseq_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (= @  (k1_finseq_1 @ A) )  @  ( ( (replSep1 @  (^ [B: $i] :  ( ( (m2_subset_1 @ B)  @ k1_numbers)  @ k5_numbers) ) )  @  (^ [B: $i] : B) )  @  (^ [B: $i] :  ( ( (r1_xxreal_0 @ np__1)  @ B)  &  ( (r1_xxreal_0 @ B)  @ A) ) ) ) ) ) ) , file(finseq_1, d1_finseq_1)).
thf(d1_funct_2, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( ~ ( ( (= @ B)  @ k1_xboole_0) )  =>  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  <=>  ( (= @ A)  @  ( (k1_relset_1 @ A)  @ C) ) ) )  &  ( ( (= @ B)  @ k1_xboole_0)  =>  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  <=>  ( (= @ C)  @ k1_xboole_0) ) ) ) ) ) ) ) , file(funct_2, d1_funct_2)).
thf(d1_msualg_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u4_struct_0 @ A) )  =>  ( (= @  ( (k1_msualg_1 @ A)  @ B) )  @  ( ( ( (k3_funct_2 @  (u4_struct_0 @ A) )  @  (k3_finseq_2 @  (u1_struct_0 @ A) ) )  @  (u1_msualg_1 @ A) )  @ B) ) ) ) ) ) , file(msualg_1, d1_msualg_1)).
thf(d25_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) )  =>  ( ( (= @ B)  @  (k28_abcmiz_1 @ A) )  <=>  ( ( (= @  ( (k1_funct_1 @ B)  @ k6_abcmiz_1) )  @ k1_xboole_0)  &  ( ( (= @  ( (k1_funct_1 @ B)  @ k7_abcmiz_1) )  @ k1_xboole_0)  &  ( (= @  ( (k1_funct_1 @ B)  @ k8_abcmiz_1) )  @ k2_abcmiz_1) ) ) ) ) ) ) ) , file(abcmiz_1, d25_abcmiz_1)).
thf(d28_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) )  =>  ( ( ( (m1_abcmiz_1 @ C)  @ A)  @ B)  <=>  ( (r2_hidden @ C)  @  ( (k1_funct_1 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) )  @ B) ) ) ) ) ) ) ) ) , file(abcmiz_1, d28_abcmiz_1)).
thf(d2_lang1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_lang1 @ A) )  =>  ( (= @  (k1_lang1 @ A) )  @  ( ( (replSep1 @  (^ [B: $i] :  ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) ) ) )  @  (^ [B: $i] : B) )  @  (^ [B: $i] :  (! [C: $i] :  ( ( (v1_relat_1 @ C)  &  ( (v1_funct_1 @ C)  &  (v1_finseq_1 @ C) ) )  =>  ~ ( ( ( (r1_lang1 @ A)  @ B)  @ C) ) ) ) ) ) ) ) ) , file(lang1, d2_lang1)).
thf(d2_msualg_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u4_struct_0 @ A) )  =>  ( (= @  ( (k2_msualg_1 @ A)  @ B) )  @  ( ( ( (k3_funct_2 @  (u4_struct_0 @ A) )  @  (u1_struct_0 @ A) )  @  (u2_msualg_1 @ A) )  @ B) ) ) ) ) ) , file(msualg_1, d2_msualg_1)).
thf(d2_pboole, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  (! [C: $i] :  ( ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) )  =>  ( ( ( (r2_pboole @ A)  @ B)  @ C)  <=>  (! [D: $i] :  ( ( (r2_hidden @ D)  @ A)  =>  ( (r1_tarski @  ( (k1_funct_1 @ B)  @ D) )  @  ( (k1_funct_1 @ C)  @ D) ) ) ) ) ) ) ) ) ) , file(pboole, d2_pboole)).
thf(d2_xboole_0, axiom,  ( (= @ k1_xboole_0)  @  (eps @  (^ [A: $i] :  (v1_xboole_0 @ A) ) ) ) , file(xboole_0, d2_xboole_0)).
thf(d33_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  ( (= @  (k34_abcmiz_1 @ A) )  @  ( (k1_funct_1 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) )  @  (k14_abcmiz_1 @ A) ) ) ) ) , file(abcmiz_1, d33_abcmiz_1)).
thf(d34_abcmiz_1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k2_abcmiz_1)  =>  (! [B: $i] :  ( ( (v1_instalg1 @ B)  &  ( (v1_abcmiz_1 @ B)  &  ( (v3_abcmiz_1 @ B)  &  (l1_msualg_1 @ B) ) ) )  =>  ( (= @  ( (k35_abcmiz_1 @ A)  @ B) )  @  (k1_trees_4 @  ( (k4_tarski @ A)  @ k8_abcmiz_1) ) ) ) ) ) ) , file(abcmiz_1, d34_abcmiz_1)).
thf(d35_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  (! [B: $i] :  ( ( ( (v2_abcmiz_1 @ B)  @ A)  &  ( (m1_subset_1 @ B)  @  (u4_struct_0 @ A) ) )  =>  (! [C: $i] :  ( ( ( (m1_trees_4 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) )  @  (k34_abcmiz_1 @ A) )  =>  ( ( (= @  (k3_finseq_1 @ C) )  @  (k3_finseq_1 @  ( (k1_msualg_1 @ A)  @ B) ) )  =>  ( (= @  ( ( (k36_abcmiz_1 @ A)  @ B)  @ C) )  @  ( (k4_trees_4 @  ( (k4_tarski @ B)  @  (u1_struct_0 @ A) ) )  @ C) ) ) ) ) ) ) ) ) , file(abcmiz_1, d35_abcmiz_1)).
thf(d3_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (! [B: $i] :  ( ( (= @ B)  @  (k10_xtuple_0 @ A) )  <=>  (! [C: $i] :  ( ( (r2_hidden @ C)  @ B)  <=>  (? [D: $i] :  ( ( (r2_hidden @ D)  @  (k9_xtuple_0 @ A) )  &  ( (= @ C)  @  ( (k1_funct_1 @ A)  @ D) ) ) ) ) ) ) ) ) ) , file(funct_1, d3_funct_1)).
thf(d3_lang1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_lang1 @ A) )  =>  ( (= @  (k2_lang1 @ A) )  @  ( ( (replSep1 @  (^ [B: $i] :  ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) ) ) )  @  (^ [B: $i] : B) )  @  (^ [B: $i] :  (? [C: $i] :  ( ( (v1_relat_1 @ C)  &  ( (v1_funct_1 @ C)  &  (v1_finseq_1 @ C) ) )  &  ( ( (r1_lang1 @ A)  @ B)  @ C) ) ) ) ) ) ) ) , file(lang1, d3_lang1)).
thf(d3_tarski, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (r1_tarski @ A)  @ B)  <=>  (! [C: $i] :  ( ( (r2_hidden @ C)  @ A)  =>  ( (r2_hidden @ C)  @ B) ) ) ) ) ) , file(tarski, d3_tarski)).
thf(d4_abcmiz_1, axiom,  ( (= @ k6_abcmiz_1)  @ k6_numbers) , file(abcmiz_1, d4_abcmiz_1)).
thf(d4_card_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  ( (= @  (k3_card_3 @ A) )  @  (k3_tarski @  (k10_xtuple_0 @ A) ) ) ) ) , file(card_3, d4_card_3)).
thf(d4_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) )  =>  ( ( (m1_finseq_1 @ B)  @ A)  <=>  ( (r1_tarski @  (k10_xtuple_0 @ B) )  @ A) ) ) ) ) , file(finseq_1, d4_finseq_1)).
thf(d56_abcmiz_1, axiom,  (! [A: $i] :  ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) )  =>  (! [C: $i] :  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) ) ) ) ) )  =>  ( ( ( (m4_abcmiz_1 @ C)  @ A)  @ B)  <=>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (u1_struct_0 @ A) )  =>  ( (r1_tarski @  ( ( ( (k7_relset_1 @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  @ C)  @  ( (k1_funct_1 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) )  @ D) ) )  @  ( (k1_funct_1 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) )  @ D) ) ) ) ) ) ) ) ) ) ) , file(abcmiz_1, d56_abcmiz_1)).
thf(d5_abcmiz_1, axiom,  ( (= @ k7_abcmiz_1)  @ np__1) , file(abcmiz_1, d5_abcmiz_1)).
thf(d5_finseq_1, axiom,  (! [A: $i] :  ( (= @  (k5_finseq_1 @ A) )  @  (k1_tarski @  ( (k4_tarski @ np__1)  @ A) ) ) ) , file(finseq_1, d5_finseq_1)).
thf(d5_msaterm, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (! [C: $i] :  ( ( ( ( (m1_dtconstr @ C)  @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) )  @  (k5_trees_3 @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) ) )  @  ( (k1_msaterm @ A)  @ B) )  =>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (u1_struct_0 @ A) )  =>  ( ( (= @ D)  @  ( ( (k7_msaterm @ A)  @ B)  @ C) )  <=>  ( (r2_hidden @ C)  @  ( ( (k7_msafree @ A)  @ B)  @ D) ) ) ) ) ) ) ) ) ) ) , file(msaterm, d5_msaterm)).
thf(d5_tarski, axiom,  (! [A: $i] :  (! [B: $i] :  ( (= @  ( (k4_tarski @ A)  @ B) )  @  ( (k2_tarski @  ( (k2_tarski @ A)  @ B) )  @  (k1_tarski @ A) ) ) ) ) , file(tarski, d5_tarski)).
thf(d6_abcmiz_1, axiom,  ( (= @ k8_abcmiz_1)  @ np__2) , file(abcmiz_1, d6_abcmiz_1)).
thf(d7_abcmiz_1, axiom,  ( (= @ k9_abcmiz_1)  @ k6_numbers) , file(abcmiz_1, d7_abcmiz_1)).
thf(d8_abcmiz_1, axiom,  ( (= @ k10_abcmiz_1)  @ np__1) , file(abcmiz_1, d8_abcmiz_1)).
thf(d8_funcop_1, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  (! [D: $i] :  ( ( ( (= @ A)  @ B)  =>  ( (= @  ( ( ( (k14_funcop_1 @ A)  @ B)  @ C)  @ D) )  @ C) )  &  ( ~ ( ( (= @ A)  @ B) )  =>  ( (= @  ( ( ( (k14_funcop_1 @ A)  @ B)  @ C)  @ D) )  @ D) ) ) ) ) ) ) , file(funcop_1, d8_funcop_1)).
thf(d8_msafree, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) )  =>  ( (= @  ( (k5_msafree @ A)  @ B) )  @  ( (g1_lang1 @  ( (k2_xboole_0 @  ( (k2_zfmisc_1 @  (u4_struct_0 @ A) )  @  (k1_tarski @  (u1_struct_0 @ A) ) ) )  @  (k3_card_3 @  ( (k3_msafree @  (u1_struct_0 @ A) )  @ B) ) ) )  @  ( (k4_msafree @ A)  @ B) ) ) ) ) ) ) , file(msafree, d8_msafree)).
thf(d9_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( (= @  ( (k10_finseq_1 @ A)  @ B) )  @  ( (k7_finseq_1 @  (k9_finseq_1 @ A) )  @  (k9_finseq_1 @ B) ) ) ) ) , file(finseq_1, d9_finseq_1)).
thf(d9_msafree, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u4_struct_0 @ A) )  =>  ( (= @  ( ( (k6_msafree @ A)  @ B)  @ C) )  @  ( (k4_tarski @ C)  @  (u1_struct_0 @ A) ) ) ) ) ) ) ) ) , file(msafree, d9_msafree)).
thf(dt_f1_s3_abcmiz_1, axiom,  ( (v1_instalg1 @ f1_s3_abcmiz_1)  &  ( (v1_abcmiz_1 @ f1_s3_abcmiz_1)  &  ( (v3_abcmiz_1 @ f1_s3_abcmiz_1)  &  (l1_msualg_1 @ f1_s3_abcmiz_1) ) ) ) , file(abcmiz_1, f1_s3_abcmiz_1)).
thf(dt_f2_s3_abcmiz_1, axiom,  (! [A: $i] :  ( (m1_subset_1 @  (f2_s3_abcmiz_1 @ A) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) ) ) , file(abcmiz_1, f2_s3_abcmiz_1)).
thf(dt_f3_s3_abcmiz_1, axiom,  (! [A: $i] :  ( (m1_subset_1 @  (f3_s3_abcmiz_1 @ A) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) ) ) , file(abcmiz_1, f3_s3_abcmiz_1)).
thf(dt_f4_s3_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( (m1_subset_1 @  ( (f4_s3_abcmiz_1 @ A)  @ B) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) ) ) , file(abcmiz_1, f4_s3_abcmiz_1)).
thf(dt_f5_s3_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( (m1_subset_1 @  ( (f5_s3_abcmiz_1 @ A)  @ B) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) ) ) , file(abcmiz_1, f5_s3_abcmiz_1)).
thf(dt_g1_lang1, axiom,  (! [A: $i, B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @  (k3_finseq_2 @ A) ) ) )  =>  ( (v1_lang1 @  ( (g1_lang1 @ A)  @ B) )  &  (l1_lang1 @  ( (g1_lang1 @ A)  @ B) ) ) ) ) , file(lang1, g1_lang1)).
thf(dt_g3_msualg_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  &  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) )  &  ( ( ( (m2_pboole @ C)  @  (u4_struct_0 @ A) )  @  ( (k3_relat_1 @  (u1_msualg_1 @ A) )  @  ( (k6_finseq_2 @  (u1_struct_0 @ A) )  @ B) ) )  @  ( (k3_relat_1 @  (u2_msualg_1 @ A) )  @ B) ) ) )  =>  ( ( (v3_msualg_1 @  ( ( (g3_msualg_1 @ A)  @ B)  @ C) )  @ A)  &  ( (l3_msualg_1 @  ( ( (g3_msualg_1 @ A)  @ B)  @ C) )  @ A) ) ) ) , file(msualg_1, g3_msualg_1)).
thf(dt_k10_abcmiz_1, axiom, $true, file(abcmiz_1, k10_abcmiz_1)).
thf(dt_k10_finseq_1, axiom, $true, file(finseq_1, k10_finseq_1)).
thf(dt_k10_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( ( ( (m2_pboole @  ( (k10_msafree @ A)  @ B) )  @  (u4_struct_0 @ A) )  @  ( (k3_relat_1 @  (u1_msualg_1 @ A) )  @  ( (k6_finseq_2 @  (u1_struct_0 @ A) )  @  ( (k8_msafree @ A)  @ B) ) ) )  @  ( (k3_relat_1 @  (u2_msualg_1 @ A) )  @  ( (k8_msafree @ A)  @ B) ) ) ) ) , file(msafree, k10_msafree)).
thf(dt_k10_xtuple_0, axiom, $true, file(xtuple_0, k10_xtuple_0)).
thf(dt_k11_lang1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_finseq_1 @ C)  @ A)  &  ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) ) ) )  =>  ( ( (m2_finseq_2 @  ( ( ( (k11_lang1 @ A)  @ B)  @ C)  @ D) )  @ B)  @  (k3_finseq_2 @ B) ) ) ) , file(lang1, k11_lang1)).
thf(dt_k11_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( (l3_msualg_1 @  ( (k11_msafree @ A)  @ B) )  @ A) ) ) , file(msafree, k11_msafree)).
thf(dt_k12_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (m1_subset_1 @  (k12_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) ) ) ) , file(abcmiz_1, k12_abcmiz_1)).
thf(dt_k13_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (m1_subset_1 @  (k13_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) ) ) ) , file(abcmiz_1, k13_abcmiz_1)).
thf(dt_k13_finseq_1, axiom, $true, file(finseq_1, k13_finseq_1)).
thf(dt_k14_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (m1_subset_1 @  (k14_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) ) ) ) , file(abcmiz_1, k14_abcmiz_1)).
thf(dt_k14_funcop_1, axiom, $true, file(funcop_1, k14_funcop_1)).
thf(dt_k14_trees_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (v1_relat_1 @  (k14_trees_3 @ A) )  &  ( (v1_funct_1 @  (k14_trees_3 @ A) )  &  (v1_finseq_1 @  (k14_trees_3 @ A) ) ) ) ) ) , file(trees_3, k14_trees_3)).
thf(dt_k15_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (m1_subset_1 @  (k15_abcmiz_1 @ A) )  @  (u4_struct_0 @ A) ) ) ) , file(abcmiz_1, k15_abcmiz_1)).
thf(dt_k15_funcop_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( (m1_subset_1 @ D)  @ A)  &  ( (m1_subset_1 @ E)  @ A) )  =>  ( (m1_subset_1 @  ( ( ( ( (k15_funcop_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @ A) ) ) , file(funcop_1, k15_funcop_1)).
thf(dt_k16_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (m1_subset_1 @  (k16_abcmiz_1 @ A) )  @  (u4_struct_0 @ A) ) ) ) , file(abcmiz_1, k16_abcmiz_1)).
thf(dt_k1_card_1, axiom,  (! [A: $i] :  (v1_card_1 @  (k1_card_1 @ A) ) ) , file(card_1, k1_card_1)).
thf(dt_k1_domain_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_subset_1 @ C)  @ A)  &  ( (m1_subset_1 @ D)  @ B) ) ) )  =>  ( (m1_subset_1 @  ( ( ( (k1_domain_1 @ A)  @ B)  @ C)  @ D) )  @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(domain_1, k1_domain_1)).
thf(dt_k1_dtconstr, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_trees_3 @ B)  @ A)  &  ( (m1_finseq_1 @ C)  @ B) ) )  =>  ( (m2_finseq_1 @  ( ( (k1_dtconstr @ A)  @ B)  @ C) )  @ A) ) ) , file(dtconstr, k1_dtconstr)).
thf(dt_k1_finseq_1, axiom, $true, file(finseq_1, k1_finseq_1)).
thf(dt_k1_funct_1, axiom, $true, file(funct_1, k1_funct_1)).
thf(dt_k1_lang1, axiom, $true, file(lang1, k1_lang1)).
thf(dt_k1_msafree3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  ( ( (v3_msualg_1 @  ( (k1_msafree3 @ A)  @ B) )  @ A)  &  ( (l3_msualg_1 @  ( (k1_msafree3 @ A)  @ B) )  @ A) ) ) ) , file(msafree3, k1_msafree3)).
thf(dt_k1_msaterm, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  ( (m1_subset_1 @  ( (k1_msaterm @ A)  @ B) )  @  (k1_zfmisc_1 @  (k5_trees_3 @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) ) ) ) ) ) , file(msaterm, k1_msaterm)).
thf(dt_k1_msualg_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (m1_subset_1 @ B)  @  (u4_struct_0 @ A) ) )  =>  ( ( (m2_finseq_2 @  ( (k1_msualg_1 @ A)  @ B) )  @  (u1_struct_0 @ A) )  @  (k3_finseq_2 @  (u1_struct_0 @ A) ) ) ) ) , file(msualg_1, k1_msualg_1)).
thf(dt_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k5_numbers) )  =>  ( ( (m2_subset_1 @  ( (k1_nat_1 @ A)  @ B) )  @ k1_numbers)  @ k5_numbers) ) ) , file(nat_1, k1_nat_1)).
thf(dt_k1_numbers, axiom, $true, file(numbers, k1_numbers)).
thf(dt_k1_partfun1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( (v1_funct_1 @ E)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  ( (v1_funct_1 @ F)  &  ( (m1_subset_1 @ F)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ C)  @ D) ) ) ) )  =>  ( (v1_funct_1 @  ( ( ( ( ( (k1_partfun1 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  &  ( (m1_subset_1 @  ( ( ( ( ( (k1_partfun1 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ D) ) ) ) ) ) , file(partfun1, k1_partfun1)).
thf(dt_k1_relset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) )  =>  ( (m1_subset_1 @  ( (k1_relset_1 @ A)  @ B) )  @  (k1_zfmisc_1 @ A) ) ) ) , file(relset_1, k1_relset_1)).
thf(dt_k1_tarski, axiom, $true, file(tarski, k1_tarski)).
thf(dt_k1_trees_4, axiom,  (! [A: $i] :  ( (v1_relat_1 @  (k1_trees_4 @ A) )  &  ( (v1_funct_1 @  (k1_trees_4 @ A) )  &  (v3_trees_2 @  (k1_trees_4 @ A) ) ) ) ) , file(trees_4, k1_trees_4)).
thf(dt_k1_xboole_0, axiom, $true, file(xboole_0, k1_xboole_0)).
thf(dt_k1_xtuple_0, axiom, $true, file(xtuple_0, k1_xtuple_0)).
thf(dt_k1_zfmisc_1, axiom, $true, file(zfmisc_1, k1_zfmisc_1)).
thf(dt_k28_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (v1_relat_1 @  (k28_abcmiz_1 @ A) )  &  ( ( (v4_relat_1 @  (k28_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @  (k28_abcmiz_1 @ A) )  &  ( (v1_partfun1 @  (k28_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) ) ) ) ) ) ) , file(abcmiz_1, k28_abcmiz_1)).
thf(dt_k2_abcmiz_1, axiom, $true, file(abcmiz_1, k2_abcmiz_1)).
thf(dt_k2_card_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  ( (v1_relat_1 @  (k2_card_3 @ A) )  &  (v1_funct_1 @  (k2_card_3 @ A) ) ) ) ) , file(card_3, k2_card_3)).
thf(dt_k2_finseq_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (m1_subset_1 @  (k2_finseq_1 @ A) )  @  (k1_zfmisc_1 @ k5_numbers) ) ) ) , file(finseq_1, k2_finseq_1)).
thf(dt_k2_funcop_1, axiom, $true, file(funcop_1, k2_funcop_1)).
thf(dt_k2_lang1, axiom, $true, file(lang1, k2_lang1)).
thf(dt_k2_msaterm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( (m1_subset_1 @ C)  @  (u4_struct_0 @ A) ) ) )  =>  ( ( (m2_subset_1 @  ( ( (k2_msaterm @ A)  @ B)  @ C) )  @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) )  @  (k7_dtconstr @  ( (k5_msafree @ A)  @ B) ) ) ) ) , file(msaterm, k2_msaterm)).
thf(dt_k2_msualg_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (m1_subset_1 @ B)  @  (u4_struct_0 @ A) ) )  =>  ( (m1_subset_1 @  ( (k2_msualg_1 @ A)  @ B) )  @  (u1_struct_0 @ A) ) ) ) , file(msualg_1, k2_msualg_1)).
thf(dt_k2_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) )  =>  ( (v1_relat_1 @  ( ( (k2_pboole @ A)  @ B)  @ C) )  &  ( ( (v4_relat_1 @  ( ( (k2_pboole @ A)  @ B)  @ C) )  @ A)  &  ( (v1_funct_1 @  ( ( (k2_pboole @ A)  @ B)  @ C) )  &  ( (v1_partfun1 @  ( ( (k2_pboole @ A)  @ B)  @ C) )  @ A) ) ) ) ) ) , file(pboole, k2_pboole)).
thf(dt_k2_relset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) )  =>  ( (m1_subset_1 @  ( (k2_relset_1 @ A)  @ B) )  @  (k1_zfmisc_1 @ A) ) ) ) , file(relset_1, k2_relset_1)).
thf(dt_k2_tarski, axiom, $true, file(tarski, k2_tarski)).
thf(dt_k2_trees_4, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @ A) )  =>  ( (m1_subset_1 @  ( (k2_trees_4 @ A)  @ B) )  @  (k5_trees_3 @ A) ) ) ) , file(trees_4, k2_trees_4)).
thf(dt_k2_xboole_0, axiom, $true, file(xboole_0, k2_xboole_0)).
thf(dt_k2_xcmplx_0, axiom, $true, file(xcmplx_0, k2_xcmplx_0)).
thf(dt_k2_xtuple_0, axiom, $true, file(xtuple_0, k2_xtuple_0)).
thf(dt_k2_zfmisc_1, axiom, $true, file(zfmisc_1, k2_zfmisc_1)).
thf(dt_k30_abcmiz_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  &  ( ( (m1_subset_1 @ B)  @  (u4_struct_0 @ A) )  &  ( (m1_subset_1 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) ) ) )  =>  ( (m1_subset_1 @  ( ( (k30_abcmiz_1 @ A)  @ B)  @ C) )  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) ) ) ) , file(abcmiz_1, k30_abcmiz_1)).
thf(dt_k31_abcmiz_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  &  ( ( (m1_subset_1 @ B)  @  (u4_struct_0 @ A) )  &  ( ( (m1_subset_1 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) )  &  ( (m1_subset_1 @ D)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) ) ) ) )  =>  ( (m1_subset_1 @  ( ( ( (k31_abcmiz_1 @ A)  @ B)  @ C)  @ D) )  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) ) ) ) , file(abcmiz_1, k31_abcmiz_1)).
thf(dt_k32_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( ( (m2_abcmiz_1 @  (k32_abcmiz_1 @ A) )  @ A)  @  (k13_abcmiz_1 @ A) ) ) ) , file(abcmiz_1, k32_abcmiz_1)).
thf(dt_k33_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( ( (m2_abcmiz_1 @  (k33_abcmiz_1 @ A) )  @ A)  @  (k12_abcmiz_1 @ A) ) ) ) , file(abcmiz_1, k33_abcmiz_1)).
thf(dt_k34_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  ( (m1_subset_1 @  (k34_abcmiz_1 @ A) )  @  (k1_zfmisc_1 @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) ) ) ) ) , file(abcmiz_1, k34_abcmiz_1)).
thf(dt_k35_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (m1_subset_1 @ A)  @ k2_abcmiz_1)  &  ( (v1_instalg1 @ B)  &  ( (v1_abcmiz_1 @ B)  &  ( (v3_abcmiz_1 @ B)  &  (l1_msualg_1 @ B) ) ) ) )  =>  ( ( (m1_abcmiz_1 @  ( (k35_abcmiz_1 @ A)  @ B) )  @ B)  @  (k14_abcmiz_1 @ B) ) ) ) , file(abcmiz_1, k35_abcmiz_1)).
thf(dt_k36_abcmiz_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  &  ( ( ( (v2_abcmiz_1 @ B)  @ A)  &  ( (m1_subset_1 @ B)  @  (u4_struct_0 @ A) ) )  &  ( (m1_finseq_1 @ C)  @  (k34_abcmiz_1 @ A) ) ) )  =>  ( ( ( (v5_abcmiz_1 @  ( ( (k36_abcmiz_1 @ A)  @ B)  @ C) )  @ A)  @  (k28_abcmiz_1 @ A) )  &  ( (m1_subset_1 @  ( ( (k36_abcmiz_1 @ A)  @ B)  @ C) )  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) ) ) ) ) , file(abcmiz_1, k36_abcmiz_1)).
thf(dt_k3_card_3, axiom, $true, file(card_3, k3_card_3)).
thf(dt_k3_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( ( (m2_subset_1 @  (k3_finseq_1 @ A) )  @ k1_numbers)  @ k5_numbers) ) ) , file(finseq_1, k3_finseq_1)).
thf(dt_k3_finseq_2, axiom,  (! [A: $i] :  ( (m1_finseq_2 @  (k3_finseq_2 @ A) )  @ A) ) , file(finseq_2, k3_finseq_2)).
thf(dt_k3_funct_2, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (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) ) ) , file(funct_2, k3_funct_2)).
thf(dt_k3_msafree, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  ( (v1_relat_1 @  ( (k3_msafree @ A)  @ B) )  &  (v1_funct_1 @  ( (k3_msafree @ A)  @ B) ) ) ) ) , file(msafree, k3_msafree)).
thf(dt_k3_pre_poly, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @ A) )  =>  ( ( (m2_finseq_2 @  ( (k3_pre_poly @ A)  @ B) )  @ A)  @  (k3_finseq_2 @ A) ) ) ) , file(pre_poly, k3_pre_poly)).
thf(dt_k3_relat_1, axiom,  (! [A: $i, B: $i] :  (v1_relat_1 @  ( (k3_relat_1 @ A)  @ B) ) ) , file(relat_1, k3_relat_1)).
thf(dt_k3_tarski, axiom, $true, file(tarski, k3_tarski)).
thf(dt_k3_xcmplx_0, axiom, $true, file(xcmplx_0, k3_xcmplx_0)).
thf(dt_k4_dtconstr, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_lang1 @ A) )  =>  ( (m1_subset_1 @  (k4_dtconstr @ A) )  @  (k1_zfmisc_1 @  (k5_trees_3 @  (u1_struct_0 @ A) ) ) ) ) ) , file(dtconstr, k4_dtconstr)).
thf(dt_k4_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (m1_subset_1 @  (k4_finseq_1 @ A) )  @  (k1_zfmisc_1 @ k5_numbers) ) ) ) , file(finseq_1, k4_finseq_1)).
thf(dt_k4_finseqop, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (m1_finseq_1 @ C)  @ A)  &  ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) )  =>  ( (m2_finseq_1 @  ( ( ( (k4_finseqop @ A)  @ B)  @ C)  @ D) )  @ B) ) ) , file(finseqop, k4_finseqop)).
thf(dt_k4_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  ( (m1_subset_1 @  ( (k4_msafree @ A)  @ B) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_xboole_0 @  ( (k2_zfmisc_1 @  (u4_struct_0 @ A) )  @  (k1_tarski @  (u1_struct_0 @ A) ) ) )  @  (k3_card_3 @  ( (k3_msafree @  (u1_struct_0 @ A) )  @ B) ) ) )  @  (k3_finseq_2 @  ( (k2_xboole_0 @  ( (k2_zfmisc_1 @  (u4_struct_0 @ A) )  @  (k1_tarski @  (u1_struct_0 @ A) ) ) )  @  (k3_card_3 @  ( (k3_msafree @  (u1_struct_0 @ A) )  @ B) ) ) ) ) ) ) ) ) , file(msafree, k4_msafree)).
thf(dt_k4_ordinal1, axiom, $true, file(ordinal1, k4_ordinal1)).
thf(dt_k4_pre_poly, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_subset_1 @ B)  @ A)  &  ( (m1_subset_1 @ C)  @ A) ) )  =>  ( ( (m2_finseq_2 @  ( ( (k4_pre_poly @ A)  @ B)  @ C) )  @ A)  @  (k3_finseq_2 @ A) ) ) ) , file(pre_poly, k4_pre_poly)).
thf(dt_k4_tarski, axiom, $true, file(tarski, k4_tarski)).
thf(dt_k4_trees_4, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) )  =>  ( (v1_relat_1 @  ( (k4_trees_4 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k4_trees_4 @ A)  @ B) )  &  (v3_trees_2 @  ( (k4_trees_4 @ A)  @ B) ) ) ) ) ) , file(trees_4, k4_trees_4)).
thf(dt_k4_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) ) ) ) , file(xcmplx_0, k4_xcmplx_0)).
thf(dt_k51_abcmiz_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_lang1 @ A) )  =>  ( (m1_subset_1 @  (k51_abcmiz_1 @ A) )  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) ) , file(abcmiz_1, k51_abcmiz_1)).
thf(dt_k52_abcmiz_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_lang1 @ A) )  =>  ( (m1_subset_1 @  (k52_abcmiz_1 @ A) )  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) ) , file(abcmiz_1, k52_abcmiz_1)).
thf(dt_k5_finseq_1, axiom, $true, file(finseq_1, k5_finseq_1)).
thf(dt_k5_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (l1_lang1 @  ( (k5_msafree @ A)  @ B) ) ) ) , file(msafree, k5_msafree)).
thf(dt_k5_msafree3, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( ( (m3_pboole @  ( ( (k5_msafree3 @ A)  @ B)  @ C) )  @  (u1_struct_0 @ A) )  @  ( (u3_msualg_1 @ A)  @  ( (k11_msafree @ A)  @ B) ) ) ) ) , file(msafree3, k5_msafree3)).
thf(dt_k5_numbers, axiom,  ( (m1_subset_1 @ k5_numbers)  @  (k1_zfmisc_1 @ k1_numbers) ) , file(numbers, k5_numbers)).
thf(dt_k5_trees_3, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ( (m1_trees_3 @  (k5_trees_3 @ A) )  @ A) ) ) , file(trees_3, k5_trees_3)).
thf(dt_k6_abcmiz_1, axiom, $true, file(abcmiz_1, k6_abcmiz_1)).
thf(dt_k6_domain_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @ A) )  =>  ( (m1_subset_1 @  ( (k6_domain_1 @ A)  @ B) )  @  (k1_zfmisc_1 @ A) ) ) ) , file(domain_1, k6_domain_1)).
thf(dt_k6_finseq_2, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  ( (v1_relat_1 @  ( (k6_finseq_2 @ A)  @ B) )  &  ( ( (v4_relat_1 @  ( (k6_finseq_2 @ A)  @ B) )  @  (k3_finseq_2 @ A) )  &  ( (v1_funct_1 @  ( (k6_finseq_2 @ A)  @ B) )  &  ( (v1_partfun1 @  ( (k6_finseq_2 @ A)  @ B) )  @  (k3_finseq_2 @ A) ) ) ) ) ) ) , file(finseq_2, k6_finseq_2)).
thf(dt_k6_msafree, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( (m1_subset_1 @ C)  @  (u4_struct_0 @ A) ) ) )  =>  ( (m1_subset_1 @  ( ( (k6_msafree @ A)  @ B)  @ C) )  @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) ) ) ) , file(msafree, k6_msafree)).
thf(dt_k6_msaterm, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( ( (m1_subset_1 @ C)  @  (k7_dtconstr @  ( (k5_msafree @ A)  @ B) ) )  &  ( ( ( (m1_msaterm @ D)  @ A)  @ B)  @ C) ) ) )  =>  ( ( ( (m1_dtconstr @  ( ( ( (k6_msaterm @ A)  @ B)  @ C)  @ D) )  @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) )  @  (k5_trees_3 @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) ) )  @  ( (k1_msaterm @ A)  @ B) ) ) ) , file(msaterm, k6_msaterm)).
thf(dt_k6_numbers, axiom,  ( ( (m2_subset_1 @ k6_numbers)  @ k1_numbers)  @ k5_numbers) , file(numbers, k6_numbers)).
thf(dt_k6_xcmplx_0, axiom, $true, file(xcmplx_0, k6_xcmplx_0)).
thf(dt_k7_abcmiz_1, axiom, $true, file(abcmiz_1, k7_abcmiz_1)).
thf(dt_k7_dtconstr, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_dtconstr @ A)  &  (l1_lang1 @ A) ) )  =>  ( ~ ( (v1_xboole_0 @  (k7_dtconstr @ A) ) )  &  ( (m1_subset_1 @  (k7_dtconstr @ A) )  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) ) ) , file(dtconstr, k7_dtconstr)).
thf(dt_k7_finseq_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) , file(finseq_1, k7_finseq_1)).
thf(dt_k7_msafree, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) ) ) )  =>  ( (m1_subset_1 @  ( ( (k7_msafree @ A)  @ B)  @ C) )  @  (k1_zfmisc_1 @  (k4_dtconstr @  ( (k5_msafree @ A)  @ B) ) ) ) ) ) , file(msafree, k7_msafree)).
thf(dt_k7_msaterm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( (m1_subset_1 @ C)  @  ( (k1_msaterm @ A)  @ B) ) ) )  =>  ( (m1_subset_1 @  ( ( (k7_msaterm @ A)  @ B)  @ C) )  @  (u1_struct_0 @ A) ) ) ) , file(msaterm, k7_msaterm)).
thf(dt_k7_relat_1, axiom, $true, file(relat_1, k7_relat_1)).
thf(dt_k7_relset_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( (m1_subset_1 @  ( ( ( (k7_relset_1 @ A)  @ B)  @ C)  @ D) )  @  (k1_zfmisc_1 @ B) ) ) ) , file(relset_1, k7_relset_1)).
thf(dt_k7_xcmplx_0, axiom, $true, file(xcmplx_0, k7_xcmplx_0)).
thf(dt_k8_abcmiz_1, axiom, $true, file(abcmiz_1, k8_abcmiz_1)).
thf(dt_k8_funcop_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ C)  @ A) )  =>  ( (v1_funct_1 @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  &  ( ( ( (v1_funct_2 @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  @ B)  @ A)  &  ( (m1_subset_1 @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @ A) ) ) ) ) ) ) , file(funcop_1, k8_funcop_1)).
thf(dt_k8_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (k8_msafree @ A)  @ B) )  &  ( ( (v4_relat_1 @  ( (k8_msafree @ A)  @ B) )  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @  ( (k8_msafree @ A)  @ B) )  &  ( (v1_partfun1 @  ( (k8_msafree @ A)  @ B) )  @  (u1_struct_0 @ A) ) ) ) ) ) ) , file(msafree, k8_msafree)).
thf(dt_k8_trees_4, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_subset_1 @ B)  @ A)  &  ( (m1_finseq_1 @ C)  @  (k5_trees_3 @ A) ) ) )  =>  ( (m1_subset_1 @  ( ( (k8_trees_4 @ A)  @ B)  @ C) )  @  (k5_trees_3 @ A) ) ) ) , file(trees_4, k8_trees_4)).
thf(dt_k9_abcmiz_1, axiom, $true, file(abcmiz_1, k9_abcmiz_1)).
thf(dt_k9_finseq_1, axiom,  (! [A: $i] :  ( (v1_relat_1 @  (k9_finseq_1 @ A) )  &  (v1_funct_1 @  (k9_finseq_1 @ A) ) ) ) , file(finseq_1, k9_finseq_1)).
thf(dt_k9_xtuple_0, axiom, $true, file(xtuple_0, k9_xtuple_0)).
thf(dt_l1_lang1, axiom,  (! [A: $i] :  ( (l1_lang1 @ A)  =>  (l1_struct_0 @ A) ) ) , file(lang1, l1_lang1)).
thf(dt_l1_msualg_1, axiom,  (! [A: $i] :  ( (l1_msualg_1 @ A)  =>  (l5_struct_0 @ A) ) ) , file(msualg_1, l1_msualg_1)).
thf(dt_l1_struct_0, axiom, $true, file(struct_0, l1_struct_0)).
thf(dt_l2_msualg_1, axiom, $true, file(msualg_1, l2_msualg_1)).
thf(dt_l3_msualg_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  =>  (! [B: $i] :  ( ( (l3_msualg_1 @ B)  @ A)  =>  ( (l2_msualg_1 @ B)  @ A) ) ) ) ) , file(msualg_1, l3_msualg_1)).
thf(dt_l5_struct_0, axiom,  (! [A: $i] :  ( (l5_struct_0 @ A)  =>  (l1_struct_0 @ A) ) ) , file(struct_0, l5_struct_0)).
thf(dt_m1_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  &  ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) ) )  =>  (! [C: $i] :  ( ( ( (m1_abcmiz_1 @ C)  @ A)  @ B)  =>  ( (m1_subset_1 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) ) ) ) ) ) , file(abcmiz_1, m1_abcmiz_1)).
thf(dt_m1_dtconstr, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_trees_3 @ B)  @ A) )  &  ( ~ ( (v1_xboole_0 @ C) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) ) ) ) )  =>  (! [D: $i] :  ( ( ( ( (m1_dtconstr @ D)  @ A)  @ B)  @ C)  =>  ( (m1_subset_1 @ D)  @ B) ) ) ) ) , file(dtconstr, m1_dtconstr)).
thf(dt_m1_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  =>  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) ) ) ) ) , file(finseq_1, m1_finseq_1)).
thf(dt_m1_finseq_2, axiom, $true, file(finseq_2, m1_finseq_2)).
thf(dt_m1_msaterm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( (m1_subset_1 @ C)  @  (k7_dtconstr @  ( (k5_msafree @ A)  @ B) ) ) ) )  =>  (! [D: $i] :  ( ( ( ( (m1_msaterm @ D)  @ A)  @ B)  @ C)  =>  ( ( (m1_trees_4 @ D)  @  (k5_trees_3 @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) ) )  @  ( (k1_msaterm @ A)  @ B) ) ) ) ) ) , file(msaterm, m1_msaterm)).
thf(dt_m1_subset_1, axiom, $true, file(subset_1, m1_subset_1)).
thf(dt_m1_trees_3, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_trees_3 @ B)  @ A)  =>  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) , file(trees_3, m1_trees_3)).
thf(dt_m1_trees_4, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) )  =>  (! [C: $i] :  ( ( ( (m1_trees_4 @ C)  @ A)  @ B)  =>  ( (m2_finseq_1 @ C)  @ A) ) ) ) ) , file(trees_4, m1_trees_4)).
thf(dt_m2_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  &  ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) ) )  =>  (! [C: $i] :  ( ( ( (m2_abcmiz_1 @ C)  @ A)  @ B)  =>  ( (m1_subset_1 @ C)  @  (u4_struct_0 @ A) ) ) ) ) ) , file(abcmiz_1, m2_abcmiz_1)).
thf(dt_m2_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m2_finseq_1 @ B)  @ A)  =>  ( (v1_funct_1 @ B)  &  ( (v1_finseq_1 @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) ) ) ) ) ) ) , file(finseq_1, m2_finseq_1)).
thf(dt_m2_finseq_2, axiom,  (! [A: $i, B: $i] :  ( ( (m1_finseq_2 @ B)  @ A)  =>  (! [C: $i] :  ( ( ( (m2_finseq_2 @ C)  @ A)  @ B)  =>  ( (m2_finseq_1 @ C)  @ A) ) ) ) ) , file(finseq_2, m2_finseq_2)).
thf(dt_m2_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) )  =>  (! [D: $i] :  ( ( ( ( (m2_pboole @ D)  @ A)  @ B)  @ C)  =>  ( (v1_relat_1 @ D)  &  ( ( (v4_relat_1 @ D)  @ A)  &  ( (v1_funct_1 @ D)  &  ( (v1_partfun1 @ D)  @ A) ) ) ) ) ) ) ) , file(pboole, m2_pboole)).
thf(dt_m2_subset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) ) )  =>  (! [C: $i] :  ( ( ( (m2_subset_1 @ C)  @ A)  @ B)  =>  ( (m1_subset_1 @ C)  @ A) ) ) ) ) , file(subset_1, m2_subset_1)).
thf(dt_m3_pboole, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  (! [C: $i] :  ( ( ( (m3_pboole @ C)  @ A)  @ B)  =>  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) ) ) , file(pboole, m3_pboole)).
thf(dt_m4_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (! [C: $i] :  ( ( ( (m4_abcmiz_1 @ C)  @ A)  @ B)  =>  ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) ) ) ) ) ) ) ) ) ) , file(abcmiz_1, m4_abcmiz_1)).
thf(dt_u1_lang1, axiom,  (! [A: $i] :  ( (l1_lang1 @ A)  =>  ( (m1_subset_1 @  (u1_lang1 @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  (u1_struct_0 @ A) )  @  (k3_finseq_2 @  (u1_struct_0 @ A) ) ) ) ) ) ) , file(lang1, u1_lang1)).
thf(dt_u1_msualg_1, axiom,  (! [A: $i] :  ( (l1_msualg_1 @ A)  =>  ( (v1_funct_1 @  (u1_msualg_1 @ A) )  &  ( ( ( (v1_funct_2 @  (u1_msualg_1 @ A) )  @  (u4_struct_0 @ A) )  @  (k3_finseq_2 @  (u1_struct_0 @ A) ) )  &  ( (m1_subset_1 @  (u1_msualg_1 @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  (u4_struct_0 @ A) )  @  (k3_finseq_2 @  (u1_struct_0 @ A) ) ) ) ) ) ) ) ) , file(msualg_1, u1_msualg_1)).
thf(dt_u1_struct_0, axiom, $true, file(struct_0, u1_struct_0)).
thf(dt_u2_msualg_1, axiom,  (! [A: $i] :  ( (l1_msualg_1 @ A)  =>  ( (v1_funct_1 @  (u2_msualg_1 @ A) )  &  ( ( ( (v1_funct_2 @  (u2_msualg_1 @ A) )  @  (u4_struct_0 @ A) )  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @  (u2_msualg_1 @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  (u4_struct_0 @ A) )  @  (u1_struct_0 @ A) ) ) ) ) ) ) ) , file(msualg_1, u2_msualg_1)).
thf(dt_u3_msualg_1, axiom,  (! [A: $i, B: $i] :  ( ( (l1_struct_0 @ A)  &  ( (l2_msualg_1 @ B)  @ A) )  =>  ( (v1_relat_1 @  ( (u3_msualg_1 @ A)  @ B) )  &  ( ( (v4_relat_1 @  ( (u3_msualg_1 @ A)  @ B) )  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @  ( (u3_msualg_1 @ A)  @ B) )  &  ( (v1_partfun1 @  ( (u3_msualg_1 @ A)  @ B) )  @  (u1_struct_0 @ A) ) ) ) ) ) ) , file(msualg_1, u3_msualg_1)).
thf(dt_u4_msualg_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  &  ( (l3_msualg_1 @ B)  @ A) )  =>  ( ( ( (m2_pboole @  ( (u4_msualg_1 @ A)  @ B) )  @  (u4_struct_0 @ A) )  @  ( (k3_relat_1 @  (u1_msualg_1 @ A) )  @  ( (k6_finseq_2 @  (u1_struct_0 @ A) )  @  ( (u3_msualg_1 @ A)  @ B) ) ) )  @  ( (k3_relat_1 @  (u2_msualg_1 @ A) )  @  ( (u3_msualg_1 @ A)  @ B) ) ) ) ) , file(msualg_1, u4_msualg_1)).
thf(dt_u4_struct_0, axiom, $true, file(struct_0, u4_struct_0)).
thf(existence_l1_lang1, axiom,  (? [A: $i] :  (l1_lang1 @ A) ) , file(lang1, l1_lang1)).
thf(existence_l1_msualg_1, axiom,  (? [A: $i] :  (l1_msualg_1 @ A) ) , file(msualg_1, l1_msualg_1)).
thf(existence_l1_struct_0, axiom,  (? [A: $i] :  (l1_struct_0 @ A) ) , file(struct_0, l1_struct_0)).
thf(existence_l2_msualg_1, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  (? [B: $i] :  ( (l2_msualg_1 @ B)  @ A) ) ) ) , file(msualg_1, l2_msualg_1)).
thf(existence_l3_msualg_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  =>  (? [B: $i] :  ( (l3_msualg_1 @ B)  @ A) ) ) ) , file(msualg_1, l3_msualg_1)).
thf(existence_l5_struct_0, axiom,  (? [A: $i] :  (l5_struct_0 @ A) ) , file(struct_0, l5_struct_0)).
thf(existence_m1_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  &  ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) ) )  =>  (? [C: $i] :  ( ( (m1_abcmiz_1 @ C)  @ A)  @ B) ) ) ) , file(abcmiz_1, m1_abcmiz_1)).
thf(existence_m1_dtconstr, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_trees_3 @ B)  @ A) )  &  ( ~ ( (v1_xboole_0 @ C) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) ) ) ) )  =>  (? [D: $i] :  ( ( ( (m1_dtconstr @ D)  @ A)  @ B)  @ C) ) ) ) , file(dtconstr, m1_dtconstr)).
thf(existence_m1_finseq_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m1_finseq_1 @ B)  @ A) ) ) , file(finseq_1, m1_finseq_1)).
thf(existence_m1_finseq_2, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m1_finseq_2 @ B)  @ A) ) ) , file(finseq_2, m1_finseq_2)).
thf(existence_m1_msaterm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( (m1_subset_1 @ C)  @  (k7_dtconstr @  ( (k5_msafree @ A)  @ B) ) ) ) )  =>  (? [D: $i] :  ( ( ( (m1_msaterm @ D)  @ A)  @ B)  @ C) ) ) ) , file(msaterm, m1_msaterm)).
thf(existence_m1_subset_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m1_subset_1 @ B)  @ A) ) ) , file(subset_1, m1_subset_1)).
thf(existence_m1_trees_3, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( (m1_trees_3 @ B)  @ A) ) ) ) , file(trees_3, m1_trees_3)).
thf(existence_m1_trees_4, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) )  =>  (? [C: $i] :  ( ( (m1_trees_4 @ C)  @ A)  @ B) ) ) ) , file(trees_4, m1_trees_4)).
thf(existence_m2_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  &  ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) ) )  =>  (? [C: $i] :  ( ( (m2_abcmiz_1 @ C)  @ A)  @ B) ) ) ) , file(abcmiz_1, m2_abcmiz_1)).
thf(existence_m2_finseq_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m2_finseq_1 @ B)  @ A) ) ) , file(finseq_1, m2_finseq_1)).
thf(existence_m2_finseq_2, axiom,  (! [A: $i, B: $i] :  ( ( (m1_finseq_2 @ B)  @ A)  =>  (? [C: $i] :  ( ( (m2_finseq_2 @ C)  @ A)  @ B) ) ) ) , file(finseq_2, m2_finseq_2)).
thf(existence_m2_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) )  =>  (? [D: $i] :  ( ( ( (m2_pboole @ D)  @ A)  @ B)  @ C) ) ) ) , file(pboole, m2_pboole)).
thf(existence_m2_subset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) ) )  =>  (? [C: $i] :  ( ( (m2_subset_1 @ C)  @ A)  @ B) ) ) ) , file(subset_1, m2_subset_1)).
thf(existence_m3_pboole, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  (? [C: $i] :  ( ( (m3_pboole @ C)  @ A)  @ B) ) ) ) , file(pboole, m3_pboole)).
thf(existence_m4_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (? [C: $i] :  ( ( (m4_abcmiz_1 @ C)  @ A)  @ B) ) ) ) , file(abcmiz_1, m4_abcmiz_1)).
thf(fc10_card_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_finset_1 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  ~ ( (v1_finset_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) , file(card_1, fc10_card_1)).
thf(fc10_finseq_1, axiom,  (! [A: $i, B: $i] :  (v1_finseq_1 @  ( (k10_finseq_1 @ A)  @ B) ) ) , file(finseq_1, fc10_finseq_1)).
thf(fc10_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  (v2_relat_1 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(funcop_1, fc10_funcop_1)).
thf(fc10_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  (v1_setfam_1 @  (k10_xtuple_0 @ A) ) ) ) , file(funct_1, fc10_funct_1)).
thf(fc10_membered, axiom,  (! [A: $i] :  ( (v1_rat_1 @ A)  =>  (v4_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc10_membered)).
thf(fc10_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_xboole_0 @  (k9_xtuple_0 @ A) ) ) ) , file(relat_1, fc10_relat_1)).
thf(fc10_subset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  ~ ( (v1_xboole_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) , file(subset_1, fc10_subset_1)).
thf(fc10_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_1 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_trees_1 @ B) ) )  =>  ( ~ ( (v1_xboole_0 @  ( (k10_finseq_1 @ A)  @ B) ) )  &  (v4_trees_3 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) ) , file(trees_3, fc10_trees_3)).
thf(fc10_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc10_xreal_0)).
thf(fc11_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (v1_relat_1 @  (k28_abcmiz_1 @ A) )  &  ( ~ ( (v3_relat_1 @  (k28_abcmiz_1 @ A) ) )  &  ( ( (v4_relat_1 @  (k28_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @  (k28_abcmiz_1 @ A) )  &  ( (v1_partfun1 @  (k28_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) ) ) ) ) ) ) ) , file(abcmiz_1, fc11_abcmiz_1)).
thf(fc11_card_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_finset_1 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  ~ ( (v1_finset_1 @  ( (k2_zfmisc_1 @ B)  @ A) ) ) ) ) , file(card_1, fc11_card_1)).
thf(fc11_facirc_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xtuple_0 @ A) )  =>  (v2_facirc_1 @  (k5_finseq_1 @ A) ) ) ) , file(facirc_1, fc11_facirc_1)).
thf(fc11_funct_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) )  &  ( (m1_subset_1 @ B)  @  (k9_xtuple_0 @ A) ) )  =>  ~ ( (v1_xboole_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) ) , file(funct_1, fc11_funct_1)).
thf(fc11_membered, axiom,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  (v5_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc11_membered)).
thf(fc11_relat_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_xboole_0 @  (k10_xtuple_0 @ A) ) ) ) , file(relat_1, fc11_relat_1)).
thf(fc11_relset_1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_relat_1 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (k9_xtuple_0 @ A) ) ) ) )  =>  ~ ( (v1_xboole_0 @  ( (k7_relat_1 @ A)  @ B) ) ) ) ) , file(relset_1, fc11_relset_1)).
thf(fc11_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc11_xreal_0)).
thf(fc11_xxreal_2, axiom,  ( ~ ( (v3_xxreal_2 @ k1_numbers) )  &  ~ ( (v4_xxreal_2 @ k1_numbers) ) ) , file(xxreal_2, fc11_xxreal_2)).
thf(fc12_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  ( ( (v3_msualg_1 @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) )  @ A)  &  ( (v4_msualg_1 @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) )  @ A) ) ) ) , file(abcmiz_1, fc12_abcmiz_1)).
thf(fc12_facirc_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xtuple_0 @ A) )  &  ~ ( (v1_xtuple_0 @ B) ) )  =>  (v2_facirc_1 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) , file(facirc_1, fc12_facirc_1)).
thf(fc12_finseq_1, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k13_finseq_1 @ A) ) ) ) , file(finseq_1, fc12_finseq_1)).
thf(fc12_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_funct_1 @ A) ) )  =>  (v1_zfmisc_1 @  (k10_xtuple_0 @ A) ) ) ) , file(funct_1, fc12_funct_1)).
thf(fc12_membered, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v6_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc12_membered)).
thf(fc12_relat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ B) )  =>  ( (v1_xboole_0 @  ( (k3_relat_1 @ A)  @ B) )  &  (v1_relat_1 @  ( (k3_relat_1 @ A)  @ B) ) ) ) ) , file(relat_1, fc12_relat_1)).
thf(fc12_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  (v1_trees_1 @ A) ) )  =>  (v5_trees_3 @  (k5_finseq_1 @ A) ) ) ) , file(trees_3, fc12_trees_3)).
thf(fc12_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc12_xreal_0)).
thf(fc13_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  &  ( ( (m1_abcmiz_1 @ B)  @ A)  @  (k13_abcmiz_1 @ A) ) )  =>  ( ( (v5_abcmiz_1 @  ( ( (k30_abcmiz_1 @ A)  @  (k15_abcmiz_1 @ A) )  @ B) )  @ A)  @  (k28_abcmiz_1 @ A) ) ) ) , file(abcmiz_1, fc13_abcmiz_1)).
thf(fc13_card_1, axiom,  (! [A: $i] :  ( (v3_card_1 @  (k1_tarski @ A) )  @ np__1) ) , file(card_1, fc13_card_1)).
thf(fc13_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  &  (v1_finset_1 @ B) )  =>  (v1_finset_1 @  ( (k7_relat_1 @ A)  @ B) ) ) ) , file(finset_1, fc13_finset_1)).
thf(fc13_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ~ ( (v3_funct_1 @ A) ) ) )  =>  ~ ( (v1_zfmisc_1 @  (k10_xtuple_0 @ A) ) ) ) ) , file(funct_1, fc13_funct_1)).
thf(fc13_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc13_membered)).
thf(fc13_relat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ B) )  =>  ( (v1_xboole_0 @  ( (k3_relat_1 @ B)  @ A) )  &  (v1_relat_1 @  ( (k3_relat_1 @ B)  @ A) ) ) ) ) , file(relat_1, fc13_relat_1)).
thf(fc13_struct_0, axiom,  (! [A: $i] :  ( ( (v11_struct_0 @ A)  &  (l5_struct_0 @ A) )  =>  (v1_xboole_0 @  (u4_struct_0 @ A) ) ) ) , file(struct_0, fc13_struct_0)).
thf(fc13_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  (v1_trees_1 @ A) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (v1_finset_1 @ B)  &  (v1_trees_1 @ B) ) ) )  =>  (v5_trees_3 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) , file(trees_3, fc13_trees_3)).
thf(fc13_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc13_xreal_0)).
thf(fc14_abcmiz_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  &  ( ( ( (m1_abcmiz_1 @ B)  @ A)  @  (k13_abcmiz_1 @ A) )  &  ( ( (m1_abcmiz_1 @ C)  @ A)  @  (k12_abcmiz_1 @ A) ) ) )  =>  ( ( (v5_abcmiz_1 @  ( ( ( (k31_abcmiz_1 @ A)  @  (k16_abcmiz_1 @ A) )  @ B)  @ C) )  @ A)  @  (k28_abcmiz_1 @ A) ) ) ) , file(abcmiz_1, fc14_abcmiz_1)).
thf(fc14_card_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_card_1 @ A)  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v3_card_1 @ B)  @ A) ) ) )  =>  ( (v3_card_1 @  (k9_xtuple_0 @ B) )  @ A) ) ) , file(card_1, fc14_card_1)).
thf(fc14_facirc_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_facirc_1 @ A) ) )  =>  ~ ( (v1_facirc_1 @  (k10_xtuple_0 @ A) ) ) ) ) , file(facirc_1, fc14_facirc_1)).
thf(fc14_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_finset_1 @ A)  &  (v1_finset_1 @ B) )  =>  (v1_finset_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(finset_1, fc14_finset_1)).
thf(fc14_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) )  =>  (v1_funcop_1 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(funcop_1, fc14_funcop_1)).
thf(fc14_funct_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (v4_funct_1 @  (k1_tarski @ A) ) ) ) , file(funct_1, fc14_funct_1)).
thf(fc14_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  (v2_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc14_membered)).
thf(fc14_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v11_struct_0 @ A) )  &  (l5_struct_0 @ A) )  =>  ~ ( (v1_xboole_0 @  (u4_struct_0 @ A) ) ) ) ) , file(struct_0, fc14_struct_0)).
thf(fc14_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc14_xreal_0)).
thf(fc15_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  ( ~ ( (v1_xboole_0 @  (k34_abcmiz_1 @ A) ) )  &  (v3_trees_3 @  (k34_abcmiz_1 @ A) ) ) ) ) , file(abcmiz_1, fc15_abcmiz_1)).
thf(fc15_funcop_1, axiom,  (! [A: $i, B: $i] :  (v3_funct_1 @  ( (k2_funcop_1 @ A)  @ B) ) ) , file(funcop_1, fc15_funcop_1)).
thf(fc15_funct_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  &  ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) ) )  =>  (v4_funct_1 @  ( (k2_tarski @ A)  @ B) ) ) ) , file(funct_1, fc15_funct_1)).
thf(fc15_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v3_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc15_membered)).
thf(fc15_relat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_relat_1 @ B)  &  (v2_relat_1 @ B) ) )  =>  ( (v1_relat_1 @  ( (k3_relat_1 @ A)  @ B) )  &  (v2_relat_1 @  ( (k3_relat_1 @ A)  @ B) ) ) ) ) , file(relat_1, fc15_relat_1)).
thf(fc15_trees_3, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_trees_2 @ A) ) )  =>  ( ~ ( (v1_xboole_0 @  (k5_finseq_1 @ A) ) )  &  (v6_trees_3 @  (k5_finseq_1 @ A) ) ) ) ) , file(trees_3, fc15_trees_3)).
thf(fc15_xreal_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  ~ ( (v3_xxreal_0 @  (k4_xcmplx_0 @ A) ) ) ) ) ) , file(xreal_0, fc15_xreal_0)).
thf(fc16_abcmiz_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (m1_subset_1 @ A)  @ k2_abcmiz_1)  &  ( (v1_instalg1 @ B)  &  ( (v1_abcmiz_1 @ B)  &  ( (v3_abcmiz_1 @ B)  &  (l1_msualg_1 @ B) ) ) ) )  =>  ~ ( ( ( (v5_abcmiz_1 @  ( (k35_abcmiz_1 @ A)  @ B) )  @ B)  @  (k28_abcmiz_1 @ B) ) ) ) ) , file(abcmiz_1, fc16_abcmiz_1)).
thf(fc16_finseq_1, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k5_finseq_1 @ A) ) ) ) , file(finseq_1, fc16_finseq_1)).
thf(fc16_index_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) )  =>  (v4_funct_1 @  (k10_xtuple_0 @ A) ) ) ) , file(index_1, fc16_index_1)).
thf(fc16_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_rat_1 @ A)  &  (v1_rat_1 @ B) )  =>  (v4_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc16_membered)).
thf(fc16_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_trees_2 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v3_trees_2 @ B) ) ) )  =>  ( ~ ( (v1_xboole_0 @  ( (k10_finseq_1 @ A)  @ B) ) )  &  (v6_trees_3 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) ) , file(trees_3, fc16_trees_3)).
thf(fc16_xreal_0, axiom,  (! [A: $i] :  ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  ~ ( (v2_xxreal_0 @  (k4_xcmplx_0 @ A) ) ) ) ) ) , file(xreal_0, fc16_xreal_0)).
thf(fc17_finseq_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_finseq_1 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( ~ ( (v1_xboole_0 @  ( (k7_finseq_1 @ A)  @ B) ) )  &  (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) ) , file(finseq_1, fc17_finseq_1)).
thf(fc17_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (v1_finset_1 @  (k1_zfmisc_1 @ A) ) ) ) , file(finset_1, fc17_finset_1)).
thf(fc17_funcop_1, axiom,  (! [A: $i, B: $i] :  ( (v4_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  @ A) ) , file(funcop_1, fc17_funcop_1)).
thf(fc17_funct_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (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) ) ) ) ) , file(funct_1, fc17_funct_1)).
thf(fc17_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_int_1 @ A)  &  (v1_int_1 @ B) )  =>  (v5_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc17_membered)).
thf(fc17_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc17_xreal_0)).
thf(fc17_xxreal_2, axiom,  (v6_xxreal_2 @ k1_numbers) , file(xxreal_2, fc17_xxreal_2)).
thf(fc18_finseq_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_finseq_1 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ B)  @ A) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ B)  @ A) )  &  ( ~ ( (v1_xboole_0 @  ( (k7_finseq_1 @ B)  @ A) ) )  &  (v1_finseq_1 @  ( (k7_finseq_1 @ B)  @ A) ) ) ) ) ) ) , file(finseq_1, fc18_finseq_1)).
thf(fc18_funct_1, axiom,  (! [A: $i] :  ( ( ~ ( (v1_zfmisc_1 @ A) )  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ~ ( (v1_zfmisc_1 @  (k9_xtuple_0 @ A) ) ) ) ) , file(funct_1, fc18_funct_1)).
thf(fc18_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  (v7_ordinal1 @ B) )  =>  (v6_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc18_membered)).
thf(fc18_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc18_xreal_0)).
thf(fc19_finseq_1, axiom,  (! [A: $i, B: $i] :  ~ ( (v1_xboole_0 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) , file(finseq_1, fc19_finseq_1)).
thf(fc19_finset_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_finset_1 @ A) )  =>  (v1_finset_1 @  (k9_xtuple_0 @ A) ) ) ) , file(finset_1, fc19_finset_1)).
thf(fc19_funct_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v3_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  (v1_xboole_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(funct_1, fc19_funct_1)).
thf(fc19_relat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_xboole_0 @ B) )  =>  (v1_xboole_0 @  ( (k7_relat_1 @ A)  @ B) ) ) ) , file(relat_1, fc19_relat_1)).
thf(fc19_struct_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_card_1 @ A)  &  ( ( (v13_struct_0 @ B)  @ A)  &  (l1_struct_0 @ B) ) )  =>  ( (v3_card_1 @  (u1_struct_0 @ B) )  @ A) ) ) , file(struct_0, fc19_struct_0)).
thf(fc19_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc19_xreal_0)).
thf(fc1_card_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (v1_xboole_0 @  (k1_card_1 @ A) )  &  (v1_card_1 @  (k1_card_1 @ A) ) ) ) ) , file(card_1, fc1_card_1)).
thf(fc1_dtconstr, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @  (k3_finseq_2 @ A) ) ) ) )  =>  ( ~ ( (v2_struct_0 @  ( (g1_lang1 @ A)  @ B) ) )  &  (v1_lang1 @  ( (g1_lang1 @ A)  @ B) ) ) ) ) , file(dtconstr, fc1_dtconstr)).
thf(fc1_facirc_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xtuple_0 @ A) )  =>  ~ ( (v1_facirc_1 @  (k1_tarski @ A) ) ) ) ) , file(facirc_1, fc1_facirc_1)).
thf(fc1_finseq_1, axiom,  (! [A: $i] :  ( ( (v7_ordinal1 @ A)  &  (v1_xboole_0 @ A) )  =>  (v1_xboole_0 @  (k1_finseq_1 @ A) ) ) ) , file(finseq_1, fc1_finseq_1)).
thf(fc1_finset_1, axiom,  (! [A: $i] :  (v1_finset_1 @  (k1_tarski @ A) ) ) , file(finset_1, fc1_finset_1)).
thf(fc1_funcop_1, axiom,  (! [A: $i, B: $i] :  ( (v1_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(funcop_1, fc1_funcop_1)).
thf(fc1_funct_1, axiom,  (! [A: $i, B: $i] :  (v1_funct_1 @  (k1_tarski @  ( (k4_tarski @ A)  @ B) ) ) ) , file(funct_1, fc1_funct_1)).
thf(fc1_msafree, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  ( (v1_relat_1 @  (k2_card_3 @ B) )  &  ( ( (v4_relat_1 @  (k2_card_3 @ B) )  @ A)  &  (v1_funct_1 @  (k2_card_3 @ B) ) ) ) ) ) , file(msafree, fc1_msafree)).
thf(fc1_msafree1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) )  =>  ~ ( (v1_xboole_0 @  (k10_xtuple_0 @ B) ) ) ) ) , file(msafree1, fc1_msafree1)).
thf(fc1_msafree3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ~ ( ( (v1_catalg_1 @ B)  @ A) )  &  ( (l3_msualg_1 @ B)  @ A) ) )  =>  ~ ( (v1_xboole_0 @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @ B) ) ) ) ) ) , file(msafree3, fc1_msafree3)).
thf(fc1_msaterm, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ~ ( (v1_xboole_0 @  ( (k1_msaterm @ A)  @ B) ) ) ) ) , file(msaterm, fc1_msaterm)).
thf(fc1_msualg_1, axiom,  (! [A: $i, B: $i] :  ( ( (l1_struct_0 @ A)  &  ( ( (v4_msualg_1 @ B)  @ A)  &  ( (l2_msualg_1 @ B)  @ A) ) )  =>  ( (v1_relat_1 @  ( (u3_msualg_1 @ A)  @ B) )  &  ( (v2_relat_1 @  ( (u3_msualg_1 @ A)  @ B) )  &  ( ( (v4_relat_1 @  ( (u3_msualg_1 @ A)  @ B) )  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @  ( (u3_msualg_1 @ A)  @ B) )  &  ( (v1_partfun1 @  ( (u3_msualg_1 @ A)  @ B) )  @  (u1_struct_0 @ A) ) ) ) ) ) ) ) , file(msualg_1, fc1_msualg_1)).
thf(fc1_msualg_2, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( (v2_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) ) )  =>  ( (v1_relat_1 @  ( ( (k2_pboole @ A)  @ B)  @ C) )  &  ( (v2_relat_1 @  ( ( (k2_pboole @ A)  @ B)  @ C) )  &  ( ( (v4_relat_1 @  ( ( (k2_pboole @ A)  @ B)  @ C) )  @ A)  &  ( (v1_funct_1 @  ( ( (k2_pboole @ A)  @ B)  @ C) )  &  ( (v1_partfun1 @  ( ( (k2_pboole @ A)  @ B)  @ C) )  @ A) ) ) ) ) ) ) , file(msualg_2, fc1_msualg_2)).
thf(fc1_pboole, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_relat_1 @ D)  &  ( ( (v4_relat_1 @ D)  @ B)  &  ( (v1_funct_1 @ D)  &  ( (v1_partfun1 @ D)  @ B) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (k3_relat_1 @ C)  @ D) )  &  ( ( (v4_relat_1 @  ( (k3_relat_1 @ C)  @ D) )  @ A)  &  ( (v1_funct_1 @  ( (k3_relat_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k3_relat_1 @ C)  @ D) )  @ A) ) ) ) ) ) , file(pboole, fc1_pboole)).
thf(fc1_relset_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (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) ) ) , file(relset_1, fc1_relset_1)).
thf(fc1_struct_0, axiom,  (! [A: $i] :  ( ( (v2_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_xboole_0 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc1_struct_0)).
thf(fc1_subset_1, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k1_zfmisc_1 @ A) ) ) ) , file(subset_1, fc1_subset_1)).
thf(fc1_xboole_0, axiom,  (v1_xboole_0 @ k1_xboole_0) , file(xboole_0, fc1_xboole_0)).
thf(fc1_xtuple_0, axiom,  (! [A: $i, B: $i] :  (v1_xtuple_0 @  ( (k4_tarski @ A)  @ B) ) ) , file(xtuple_0, fc1_xtuple_0)).
thf(fc20_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finset_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k3_relat_1 @ B)  @ A) )  &  (v1_finset_1 @  ( (k3_relat_1 @ B)  @ A) ) ) ) ) , file(finset_1, fc20_finset_1)).
thf(fc20_funcop_1, axiom,  (! [A: $i, B: $i] :  ( (v1_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  &  ( ( (v4_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  @ A)  &  ( (v1_funct_1 @  ( (k2_funcop_1 @ A)  @ B) )  &  ( (v1_partfun1 @  ( (k2_funcop_1 @ A)  @ B) )  @ A) ) ) ) ) , file(funcop_1, fc20_funcop_1)).
thf(fc20_relat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  (v1_xboole_0 @  ( (k7_relat_1 @ A)  @ B) ) ) ) , file(relat_1, fc20_relat_1)).
thf(fc20_struct_0, axiom,  (! [A: $i] :  ( ( (v15_struct_0 @ A)  &  (l5_struct_0 @ A) )  =>  (v1_zfmisc_1 @  (u4_struct_0 @ A) ) ) ) , file(struct_0, fc20_struct_0)).
thf(fc20_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc20_xreal_0)).
thf(fc21_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v15_struct_0 @ A) )  &  (l5_struct_0 @ A) )  =>  ~ ( (v1_zfmisc_1 @  (u4_struct_0 @ A) ) ) ) ) , file(struct_0, fc21_struct_0)).
thf(fc21_trees_3, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (v1_relat_1 @ C)  &  ( ( (v5_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  (v3_trees_2 @ C) ) ) )  &  ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (k3_relat_1 @ C)  @ D) )  &  (v3_trees_2 @  ( (k3_relat_1 @ C)  @ D) ) ) ) ) , file(trees_3, fc21_trees_3)).
thf(fc21_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc21_xreal_0)).
thf(fc22_finseq_1, axiom,  (! [A: $i] :  (v4_funct_1 @  (k13_finseq_1 @ A) ) ) , file(finseq_1, fc22_finseq_1)).
thf(fc22_finset_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_finset_1 @ A) )  =>  (v1_finset_1 @  (k10_xtuple_0 @ A) ) ) ) , file(finset_1, fc22_finset_1)).
thf(fc22_funcop_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ C)  @ B) )  =>  ( (v5_relat_1 @  ( (k2_funcop_1 @ A)  @ C) )  @ B) ) ) , file(funcop_1, fc22_funcop_1)).
thf(fc22_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc22_xreal_0)).
thf(fc23_finseq_1, axiom,  (! [A: $i] :  ( ( (v7_ordinal1 @ A)  &  ~ ( (v1_xboole_0 @ A) ) )  =>  ~ ( (v1_xboole_0 @  (k1_finseq_1 @ A) ) ) ) ) , file(finseq_1, fc23_finseq_1)).
thf(fc23_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_1 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_trees_1 @ B) ) )  =>  ( ~ ( (v1_xboole_0 @  ( (k2_xboole_0 @ A)  @ B) ) )  &  (v1_trees_1 @  ( (k2_xboole_0 @ A)  @ B) ) ) ) ) , file(trees_3, fc23_trees_3)).
thf(fc23_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc23_xreal_0)).
thf(fc24_finseq_1, axiom,  (! [A: $i] :  ( (v3_card_1 @  (k5_finseq_1 @ A) )  @ np__1) ) , file(finseq_1, fc24_finseq_1)).
thf(fc24_relat_1, axiom,  (! [A: $i] :  ( ( (v1_zfmisc_1 @ A)  &  (v1_relat_1 @ A) )  =>  (v1_zfmisc_1 @  (k9_xtuple_0 @ A) ) ) ) , file(relat_1, fc24_relat_1)).
thf(fc24_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k3_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc24_xreal_0)).
thf(fc25_finseq_1, axiom,  (! [A: $i, B: $i] :  ( (v3_card_1 @  ( (k10_finseq_1 @ A)  @ B) )  @ np__2) ) , file(finseq_1, fc25_finseq_1)).
thf(fc25_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v1_membered @ A)  &  (v1_membered @ B) )  =>  (v1_membered @  ( (k2_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc25_membered)).
thf(fc25_relat_1, axiom,  (! [A: $i] :  ( ( (v1_zfmisc_1 @ A)  &  (v1_relat_1 @ A) )  =>  (v1_zfmisc_1 @  (k10_xtuple_0 @ A) ) ) ) , file(relat_1, fc25_relat_1)).
thf(fc25_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc25_xreal_0)).
thf(fc26_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v2_membered @ A)  &  (v2_membered @ B) )  =>  (v2_membered @  ( (k2_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc26_membered)).
thf(fc26_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc26_xreal_0)).
thf(fc27_finseq_1, axiom,  (! [A: $i] :  (v3_finseq_1 @  (k13_finseq_1 @ A) ) ) , file(finseq_1, fc27_finseq_1)).
thf(fc27_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v3_membered @ A)  &  (v3_membered @ B) )  =>  (v3_membered @  ( (k2_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc27_membered)).
thf(fc27_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @  (k5_trees_3 @ A) ) )  =>  (v1_finset_1 @  (k9_xtuple_0 @ B) ) ) ) , file(trees_3, fc27_trees_3)).
thf(fc28_finseq_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (v7_ordinal1 @ A)  &  ( ( (m1_subset_1 @ B)  @ k5_numbers)  &  ( ( (v1_relat_1 @ C)  &  ( (v1_funct_1 @ C)  &  ( ( (v3_card_1 @ C)  @ A)  &  (v1_finseq_1 @ C) ) ) )  &  ( (v1_relat_1 @ D)  &  ( (v1_funct_1 @ D)  &  ( ( (v3_card_1 @ D)  @ B)  &  (v1_finseq_1 @ D) ) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ C)  @ D) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ C)  @ D) )  &  ( ( (v3_card_1 @  ( (k7_finseq_1 @ C)  @ D) )  @  ( (k1_nat_1 @ A)  @ B) )  &  (v1_finseq_1 @  ( (k7_finseq_1 @ C)  @ D) ) ) ) ) ) ) , file(finseq_1, fc28_finseq_1)).
thf(fc28_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v4_membered @ A)  &  (v4_membered @ B) )  =>  (v4_membered @  ( (k2_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc28_membered)).
thf(fc29_finseq_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v3_finseq_1 @ A)  &  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  (v1_funct_1 @ B) ) ) )  =>  (v1_finseq_1 @  ( (k1_funct_1 @ B)  @ C) ) ) ) , file(finseq_1, fc29_finseq_1)).
thf(fc29_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v5_membered @ A)  &  (v5_membered @ B) )  =>  (v5_membered @  ( (k2_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc29_membered)).
thf(fc29_relat_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) )  &  (v1_relat_1 @ C) )  =>  ( (v1_relat_1 @  ( (k3_relat_1 @ C)  @ B) )  &  ( (v5_relat_1 @  ( (k3_relat_1 @ C)  @ B) )  @ A) ) ) ) , file(relat_1, fc29_relat_1)).
thf(fc2_abcmiz_1, axiom,  ~ ( (v1_xboole_0 @ k2_abcmiz_1) ) , file(abcmiz_1, fc2_abcmiz_1)).
thf(fc2_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ( ~ ( (v1_xboole_0 @  (k1_card_1 @ A) ) )  &  (v1_card_1 @  (k1_card_1 @ A) ) ) ) ) , file(card_1, fc2_card_1)).
thf(fc2_dtconstr, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v1_dtconstr @ A)  &  (l1_lang1 @ A) ) )  =>  ~ ( (v1_xboole_0 @  (k4_dtconstr @ A) ) ) ) ) , file(dtconstr, fc2_dtconstr)).
thf(fc2_facirc_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xtuple_0 @ A) )  &  ~ ( (v1_xtuple_0 @ B) ) )  =>  ~ ( (v1_facirc_1 @  ( (k2_tarski @ A)  @ B) ) ) ) ) , file(facirc_1, fc2_facirc_1)).
thf(fc2_finseq_1, axiom,  (! [A: $i] :  ( ( (v7_ordinal1 @ A)  &  ~ ( (v1_xboole_0 @ A) ) )  =>  ~ ( (v1_xboole_0 @  (k1_finseq_1 @ A) ) ) ) ) , file(finseq_1, fc2_finseq_1)).
thf(fc2_finset_1, axiom,  (! [A: $i, B: $i] :  (v1_finset_1 @  ( (k2_tarski @ A)  @ B) ) ) , file(finset_1, fc2_finset_1)).
thf(fc2_funcop_1, axiom,  (! [A: $i] :  (v1_xboole_0 @  ( (k2_funcop_1 @ k1_xboole_0)  @ A) ) ) , file(funcop_1, fc2_funcop_1)).
thf(fc2_funct_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  &  ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) ) )  =>  ( (v1_relat_1 @  ( (k3_relat_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k3_relat_1 @ A)  @ B) ) ) ) ) , file(funct_1, fc2_funct_1)).
thf(fc2_msafree, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  ( (v1_relat_1 @  (k2_card_3 @ B) )  &  ( (v1_funct_1 @  (k2_card_3 @ B) )  &  ( (v1_partfun1 @  (k2_card_3 @ B) )  @ A) ) ) ) ) , file(msafree, fc2_msafree)).
thf(fc2_msafree3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ~ ( (v3_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( ( (v3_msualg_1 @  ( (k1_msafree3 @ A)  @ B) )  @ A)  &  ~ ( ( (v1_catalg_1 @  ( (k1_msafree3 @ A)  @ B) )  @ A) ) ) ) ) , file(msafree3, fc2_msafree3)).
thf(fc2_msualg_2, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( (v2_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) ) )  =>  ( (v1_relat_1 @  ( ( (k2_pboole @ A)  @ C)  @ B) )  &  ( (v2_relat_1 @  ( ( (k2_pboole @ A)  @ C)  @ B) )  &  ( ( (v4_relat_1 @  ( ( (k2_pboole @ A)  @ C)  @ B) )  @ A)  &  ( (v1_funct_1 @  ( ( (k2_pboole @ A)  @ C)  @ B) )  &  ( (v1_partfun1 @  ( ( (k2_pboole @ A)  @ C)  @ B) )  @ A) ) ) ) ) ) ) , file(msualg_2, fc2_msualg_2)).
thf(fc2_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) )  &  ( (m1_subset_1 @ C)  @ A) ) )  =>  ~ ( (v1_xboole_0 @  ( (k1_funct_1 @ B)  @ C) ) ) ) ) , file(pboole, fc2_pboole)).
thf(fc2_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_xboole_0 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc2_struct_0)).
thf(fc2_trees_2, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_trees_2 @ A) ) )  =>  ( ~ ( (v1_xboole_0 @  (k9_xtuple_0 @ A) ) )  &  (v1_trees_1 @  (k9_xtuple_0 @ A) ) ) ) ) , file(trees_2, fc2_trees_2)).
thf(fc2_xboole_0, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k1_tarski @ A) ) ) ) , file(xboole_0, fc2_xboole_0)).
thf(fc30_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (v5_finset_1 @  (k1_tarski @ A) ) ) ) , file(finset_1, fc30_finset_1)).
thf(fc30_membered, axiom,  (! [A: $i, B: $i] :  ( ( (v6_membered @ A)  &  (v6_membered @ B) )  =>  (v6_membered @  ( (k2_xboole_0 @ A)  @ B) ) ) ) , file(membered, fc30_membered)).
thf(fc30_relat_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) )  &  (v1_relat_1 @ C) )  =>  ( (v1_relat_1 @  ( (k3_relat_1 @ B)  @ C) )  &  ( (v4_relat_1 @  ( (k3_relat_1 @ B)  @ C) )  @ A) ) ) ) , file(relat_1, fc30_relat_1)).
thf(fc31_finset_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  (v5_finset_1 @  (k1_zfmisc_1 @ A) ) ) ) , file(finset_1, fc31_finset_1)).
thf(fc31_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc31_xreal_0)).
thf(fc32_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_finset_1 @ A)  &  (v1_finset_1 @ B) )  =>  (v5_finset_1 @  ( (k2_tarski @ A)  @ B) ) ) ) , file(finset_1, fc32_finset_1)).
thf(fc32_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k7_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc32_xreal_0)).
thf(fc33_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (v1_relat_1 @  (k28_abcmiz_1 @ A) )  &  ( ( (v4_relat_1 @  (k28_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @  (k28_abcmiz_1 @ A) )  &  ( ( (v1_partfun1 @  (k28_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) )  &  ( (v13_abcmiz_1 @  (k28_abcmiz_1 @ A) )  @ A) ) ) ) ) ) ) , file(abcmiz_1, fc33_abcmiz_1)).
thf(fc33_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v5_finset_1 @ A)  &  (v5_finset_1 @ B) )  =>  (v5_finset_1 @  ( (k2_xboole_0 @ A)  @ B) ) ) ) , file(finset_1, fc33_finset_1)).
thf(fc33_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc33_xreal_0)).
thf(fc34_finset_1, axiom,  (! [A: $i] :  ( ( (v1_finset_1 @ A)  &  (v5_finset_1 @ A) )  =>  (v1_finset_1 @  (k3_tarski @ A) ) ) ) , file(finset_1, fc34_finset_1)).
thf(fc34_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc34_xreal_0)).
thf(fc35_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finset_1 @ A) ) )  =>  (v1_finset_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(finset_1, fc35_finset_1)).
thf(fc36_finset_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v2_finset_1 @ A) )  =>  (v5_finset_1 @  (k10_xtuple_0 @ A) ) ) ) , file(finset_1, fc36_finset_1)).
thf(fc3_abcmiz_1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k2_abcmiz_1)  =>  (v1_finset_1 @  (k1_xtuple_0 @ A) ) ) ) , file(abcmiz_1, fc3_abcmiz_1)).
thf(fc3_dtconstr, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v3_dtconstr @ A)  &  (l1_lang1 @ A) ) )  =>  ~ ( (v1_xboole_0 @  (k4_dtconstr @ A) ) ) ) ) , file(dtconstr, fc3_dtconstr)).
thf(fc3_finseq_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_finset_1 @  (k1_finseq_1 @ A) ) ) ) , file(finseq_1, fc3_finseq_1)).
thf(fc3_finseq_2, axiom,  (! [A: $i, B: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_finseq_1 @  ( (k2_funcop_1 @  (k2_finseq_1 @ A) )  @ B) ) ) ) , file(finseq_2, fc3_finseq_2)).
thf(fc3_funcop_1, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ B)  =>  (v1_xboole_0 @  ( (k2_funcop_1 @ B)  @ A) ) ) ) , file(funcop_1, fc3_funcop_1)).
thf(fc3_membered, axiom,  (v3_membered @ k1_numbers) , file(membered, fc3_membered)).
thf(fc3_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) )  =>  ( (v1_relat_1 @  (k2_card_3 @ B) )  &  ( (v2_relat_1 @  (k2_card_3 @ B) )  &  (v1_funct_1 @  (k2_card_3 @ B) ) ) ) ) ) , file(msafree, fc3_msafree)).
thf(fc3_msafree1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  &  ( ( (v1_msafree1 @ B)  @ A)  &  ( (l3_msualg_1 @ B)  @ A) ) )  =>  ( (v1_relat_1 @  ( (u3_msualg_1 @ A)  @ B) )  &  ( ( (v4_relat_1 @  ( (u3_msualg_1 @ A)  @ B) )  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @  ( (u3_msualg_1 @ A)  @ B) )  &  ( ( (v1_partfun1 @  ( (u3_msualg_1 @ A)  @ B) )  @  (u1_struct_0 @ A) )  &  (v1_prob_2 @  ( (u3_msualg_1 @ A)  @ B) ) ) ) ) ) ) ) , file(msafree1, fc3_msafree1)).
thf(fc3_msafree3, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  ( ( (v3_msualg_1 @  ( (k1_msafree3 @ A)  @ B) )  @ A)  &  ( ( (v2_msafree @  ( (k1_msafree3 @ A)  @ B) )  @ A)  &  ( (v1_msualg_6 @  ( (k1_msafree3 @ A)  @ B) )  @ A) ) ) ) ) , file(msafree3, fc3_msafree3)).
thf(fc3_ordinal1, axiom,  (! [A: $i] :  ( (v3_ordinal1 @ A)  =>  (v3_ordinal1 @  (k3_tarski @ A) ) ) ) , file(ordinal1, fc3_ordinal1)).
thf(fc3_relat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_relat_1 @ B) )  =>  (v1_relat_1 @  ( (k2_xboole_0 @ A)  @ B) ) ) ) , file(relat_1, fc3_relat_1)).
thf(fc3_xboole_0, axiom,  (! [A: $i, B: $i] :  ~ ( (v1_xboole_0 @  ( (k2_tarski @ A)  @ B) ) ) ) , file(xboole_0, fc3_xboole_0)).
thf(fc3_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  (v1_xreal_0 @  (k4_xcmplx_0 @ A) ) ) ) ) , file(xreal_0, fc3_xreal_0)).
thf(fc4_card_1, axiom,  (v1_card_1 @ k4_ordinal1) , file(card_1, fc4_card_1)).
thf(fc4_facirc_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_facirc_1 @ A) )  &  ~ ( (v1_facirc_1 @ B) ) )  =>  ~ ( (v1_facirc_1 @  ( (k2_xboole_0 @ A)  @ B) ) ) ) ) , file(facirc_1, fc4_facirc_1)).
thf(fc4_finseq_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (v3_card_1 @  (k1_finseq_1 @ A) )  @ A) ) ) , file(finseq_1, fc4_finseq_1)).
thf(fc4_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  ~ ( (v1_xboole_0 @  ( (k2_funcop_1 @ B)  @ A) ) ) ) ) , file(funcop_1, fc4_funcop_1)).
thf(fc4_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) )  =>  ~ ( (v1_xboole_0 @  (k3_card_3 @ B) ) ) ) ) , file(msafree, fc4_msafree)).
thf(fc4_msafree1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (k8_msafree @ A)  @ B) )  &  ( ( (v4_relat_1 @  ( (k8_msafree @ A)  @ B) )  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @  ( (k8_msafree @ A)  @ B) )  &  ( ( (v1_partfun1 @  ( (k8_msafree @ A)  @ B) )  @  (u1_struct_0 @ A) )  &  (v1_prob_2 @  ( (k8_msafree @ A)  @ B) ) ) ) ) ) ) ) , file(msafree1, fc4_msafree1)).
thf(fc4_ordinal1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v5_ordinal1 @ A) ) )  =>  (v3_ordinal1 @  (k9_xtuple_0 @ A) ) ) ) , file(ordinal1, fc4_ordinal1)).
thf(fc4_relset_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (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) ) ) , file(relset_1, fc4_relset_1)).
thf(fc4_trees_2, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_1 @ A) )  =>  (v3_trees_2 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(trees_2, fc4_trees_2)).
thf(fc4_xboole_0, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ~ ( (v1_xboole_0 @  ( (k2_xboole_0 @ A)  @ B) ) ) ) ) , file(xboole_0, fc4_xboole_0)).
thf(fc4_xtuple_0, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_xboole_0 @  (k9_xtuple_0 @ A) ) ) ) , file(xtuple_0, fc4_xtuple_0)).
thf(fc56_membered, axiom,  (v7_membered @ k1_numbers) , file(membered, fc56_membered)).
thf(fc59_membered, axiom,  (v7_membered @ k4_ordinal1) , file(membered, fc59_membered)).
thf(fc5_card_1, axiom,  (v2_card_1 @ k4_ordinal1) , file(card_1, fc5_card_1)).
thf(fc5_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  ( ~ ( (v2_struct_0 @  ( (k5_msafree @ A)  @ B) ) )  &  (v1_lang1 @  ( (k5_msafree @ A)  @ B) ) ) ) ) , file(msafree, fc5_msafree)).
thf(fc5_msafree1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( (v4_msualg_1 @  ( (k11_msafree @ A)  @ B) )  @ A) ) ) , file(msafree1, fc5_msafree1)).
thf(fc5_relat_1, axiom,  (! [A: $i, B: $i] :  (v1_relat_1 @  (k1_tarski @  ( (k4_tarski @ A)  @ B) ) ) ) , file(relat_1, fc5_relat_1)).
thf(fc5_xboole_0, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ~ ( (v1_xboole_0 @  ( (k2_xboole_0 @ B)  @ A) ) ) ) ) , file(xboole_0, fc5_xboole_0)).
thf(fc5_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc5_xreal_0)).
thf(fc5_xtuple_0, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_xboole_0 @  (k10_xtuple_0 @ A) ) ) ) , file(xtuple_0, fc5_xtuple_0)).
thf(fc6_card_1, axiom,  (! [A: $i] :  ( (v1_finset_1 @ A)  =>  ( (v1_finset_1 @  (k1_card_1 @ A) )  &  (v1_card_1 @  (k1_card_1 @ A) ) ) ) ) , file(card_1, fc6_card_1)).
thf(fc6_finseq_1, axiom,  (! [A: $i] :  ( (v1_relat_1 @  (k5_finseq_1 @ A) )  &  (v1_funct_1 @  (k5_finseq_1 @ A) ) ) ) , file(finseq_1, fc6_finseq_1)).
thf(fc6_finseq_2, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) )  =>  ( (v1_relat_1 @  ( (k6_finseq_2 @ A)  @ B) )  &  ( (v2_relat_1 @  ( (k6_finseq_2 @ A)  @ B) )  &  ( ( (v4_relat_1 @  ( (k6_finseq_2 @ A)  @ B) )  @  (k3_finseq_2 @ A) )  &  ( (v1_funct_1 @  ( (k6_finseq_2 @ A)  @ B) )  &  ( (v1_partfun1 @  ( (k6_finseq_2 @ A)  @ B) )  @  (k3_finseq_2 @ A) ) ) ) ) ) ) ) , file(finseq_2, fc6_finseq_2)).
thf(fc6_membered, axiom,  (v6_membered @ k4_ordinal1) , file(membered, fc6_membered)).
thf(fc6_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( (v1_dtconstr @  ( (k5_msafree @ A)  @ B) )  &  ( (v2_dtconstr @  ( (k5_msafree @ A)  @ B) )  &  (v3_dtconstr @  ( (k5_msafree @ A)  @ B) ) ) ) ) ) , file(msafree, fc6_msafree)).
thf(fc6_msualg_2, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v4_msualg_1 @ B)  @ A)  &  ( (l3_msualg_1 @ B)  @ A) ) )  =>  ( ( (v3_msualg_1 @  ( ( (g3_msualg_1 @ A)  @  ( (u3_msualg_1 @ A)  @ B) )  @  ( (u4_msualg_1 @ A)  @ B) ) )  @ A)  &  ( (v4_msualg_1 @  ( ( (g3_msualg_1 @ A)  @  ( (u3_msualg_1 @ A)  @ B) )  @  ( (u4_msualg_1 @ A)  @ B) ) )  @ A) ) ) ) , file(msualg_2, fc6_msualg_2)).
thf(fc6_ordinal1, axiom,  ( ~ ( (v1_xboole_0 @ k4_ordinal1) )  &  (v3_ordinal1 @ k4_ordinal1) ) , file(ordinal1, fc6_ordinal1)).
thf(fc6_relat_1, axiom,  (! [A: $i, B: $i] :  (v1_relat_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) , file(relat_1, fc6_relat_1)).
thf(fc6_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v7_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc6_struct_0)).
thf(fc6_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v4_trees_3 @ A) ) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v1_finseq_1 @ B)  &  (v4_trees_3 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  (v4_trees_3 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) ) , file(trees_3, fc6_trees_3)).
thf(fc6_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc6_xreal_0)).
thf(fc7_card_1, axiom,  ~ ( (v1_finset_1 @ k4_ordinal1) ) , file(card_1, fc7_card_1)).
thf(fc7_finseq_1, axiom,  (! [A: $i] :  (v1_finseq_1 @  (k5_finseq_1 @ A) ) ) , file(finseq_1, fc7_finseq_1)).
thf(fc7_funct_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funct_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v2_funct_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k3_relat_1 @ A)  @ B) )  &  (v2_funct_1 @  ( (k3_relat_1 @ A)  @ B) ) ) ) ) , file(funct_1, fc7_funct_1)).
thf(fc7_membered, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc7_membered)).
thf(fc7_msafree, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) ) ) )  =>  ~ ( (v1_xboole_0 @  ( ( (k7_msafree @ A)  @ B)  @ C) ) ) ) ) , file(msafree, fc7_msafree)).
thf(fc7_relat_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  (v1_relat_1 @  ( (k2_tarski @  ( (k4_tarski @ A)  @ B) )  @  ( (k4_tarski @ C)  @ D) ) ) ) , file(relat_1, fc7_relat_1)).
thf(fc7_struct_0, axiom,  (! [A: $i] :  ( ( (v7_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc7_struct_0)).
thf(fc7_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v5_trees_3 @ A) ) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v1_finseq_1 @ B)  &  (v5_trees_3 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  (v5_trees_3 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) ) , file(trees_3, fc7_trees_3)).
thf(fc7_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc7_xreal_0)).
thf(fc8_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  ( ~ ( (v1_finset_1 @  (k1_card_1 @ A) ) )  &  (v1_card_1 @  (k1_card_1 @ A) ) ) ) ) , file(card_1, fc8_card_1)).
thf(fc8_facirc_1, axiom,  (! [A: $i] :  ( (v1_xtuple_0 @ A)  =>  (v1_relat_1 @  (k1_tarski @ A) ) ) ) , file(facirc_1, fc8_facirc_1)).
thf(fc8_finseq_1, axiom,  (! [A: $i, B: $i] :  ( (v1_relat_1 @  ( (k10_finseq_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k10_finseq_1 @ A)  @ B) ) ) ) , file(finseq_1, fc8_finseq_1)).
thf(fc8_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) )  =>  ( (v1_relat_1 @  ( (k1_funct_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) ) , file(funcop_1, fc8_funcop_1)).
thf(fc8_membered, axiom,  (! [A: $i] :  ( (v1_xxreal_0 @ A)  =>  (v2_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc8_membered)).
thf(fc8_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (k8_msafree @ A)  @ B) )  &  ( (v2_relat_1 @  ( (k8_msafree @ A)  @ B) )  &  ( ( (v4_relat_1 @  ( (k8_msafree @ A)  @ B) )  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @  ( (k8_msafree @ A)  @ B) )  &  ( (v1_partfun1 @  ( (k8_msafree @ A)  @ B) )  @  (u1_struct_0 @ A) ) ) ) ) ) ) ) , file(msafree, fc8_msafree)).
thf(fc8_msafree1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (u3_msualg_1 @ A)  @  ( (k11_msafree @ A)  @ B) ) )  &  ( ( (v4_relat_1 @  ( (u3_msualg_1 @ A)  @  ( (k11_msafree @ A)  @ B) ) )  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @  ( (u3_msualg_1 @ A)  @  ( (k11_msafree @ A)  @ B) ) )  &  ( ( (v1_partfun1 @  ( (u3_msualg_1 @ A)  @  ( (k11_msafree @ A)  @ B) ) )  @  (u1_struct_0 @ A) )  &  (v1_prob_2 @  ( (u3_msualg_1 @ A)  @  ( (k11_msafree @ A)  @ B) ) ) ) ) ) ) ) ) , file(msafree1, fc8_msafree1)).
thf(fc8_relat_1, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_relat_1 @ A) )  =>  ~ ( (v1_xboole_0 @  (k9_xtuple_0 @ A) ) ) ) ) , file(relat_1, fc8_relat_1)).
thf(fc8_relset_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ C) ) )  =>  (v1_relat_1 @  (k9_xtuple_0 @ D) ) ) ) , file(relset_1, fc8_relset_1)).
thf(fc8_struct_0, axiom,  (! [A: $i] :  ( ( (v8_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_finset_1 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc8_struct_0)).
thf(fc8_trees_3, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v6_trees_3 @ A) ) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v1_finseq_1 @ B)  &  (v6_trees_3 @ B) ) ) ) )  =>  ( (v1_relat_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  ( (v1_finseq_1 @  ( (k7_finseq_1 @ A)  @ B) )  &  (v6_trees_3 @  ( (k7_finseq_1 @ A)  @ B) ) ) ) ) ) ) , file(trees_3, fc8_trees_3)).
thf(fc8_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc8_xreal_0)).
thf(fc9_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  ~ ( (v1_finset_1 @  (k1_zfmisc_1 @ A) ) ) ) ) , file(card_1, fc9_card_1)).
thf(fc9_facirc_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xtuple_0 @ A)  &  (v1_xtuple_0 @ B) )  =>  (v1_relat_1 @  ( (k2_tarski @ A)  @ B) ) ) ) , file(facirc_1, fc9_facirc_1)).
thf(fc9_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_finset_1 @ A)  &  (v1_finset_1 @ B) )  =>  (v1_finset_1 @  ( (k2_xboole_0 @ A)  @ B) ) ) ) , file(finset_1, fc9_finset_1)).
thf(fc9_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) ) )  =>  ( (v1_relat_1 @  ( (k3_relat_1 @ B)  @ A) )  &  (v1_funcop_1 @  ( (k3_relat_1 @ B)  @ A) ) ) ) ) , file(funcop_1, fc9_funcop_1)).
thf(fc9_membered, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v3_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc9_membered)).
thf(fc9_msafree, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( ( (v3_msualg_1 @  ( (k11_msafree @ A)  @ B) )  @ A)  &  ( (v4_msualg_1 @  ( (k11_msafree @ A)  @ B) )  @ A) ) ) ) , file(msafree, fc9_msafree)).
thf(fc9_msafree1, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) ) )  =>  ( (v1_msafree1 @  ( (k11_msafree @ A)  @ B) )  @ A) ) ) , file(msafree1, fc9_msafree1)).
thf(fc9_relat_1, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_relat_1 @ A) )  =>  ~ ( (v1_xboole_0 @  (k10_xtuple_0 @ A) ) ) ) ) , file(relat_1, fc9_relat_1)).
thf(fc9_relset_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @  ( (k2_zfmisc_1 @ B)  @ C) ) ) )  =>  (v1_relat_1 @  (k10_xtuple_0 @ D) ) ) ) , file(relset_1, fc9_relset_1)).
thf(fc9_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v8_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_finset_1 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc9_struct_0)).
thf(fc9_trees_3, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_trees_1 @ A) )  =>  ( ~ ( (v1_xboole_0 @  (k5_finseq_1 @ A) ) )  &  (v4_trees_3 @  (k5_finseq_1 @ A) ) ) ) ) , file(trees_3, fc9_trees_3)).
thf(fc9_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc9_xreal_0)).
thf(free_g1_lang1, axiom,  (! [A: $i, B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @  (k3_finseq_2 @ A) ) ) )  =>  (! [C: $i, D: $i] :  ( ( (= @  ( (g1_lang1 @ A)  @ B) )  @  ( (g1_lang1 @ C)  @ D) )  =>  ( ( (= @ A)  @ C)  &  ( (= @ B)  @ D) ) ) ) ) ) , file(lang1, g1_lang1)).
thf(free_g3_msualg_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  &  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) )  &  ( ( ( (m2_pboole @ C)  @  (u4_struct_0 @ A) )  @  ( (k3_relat_1 @  (u1_msualg_1 @ A) )  @  ( (k6_finseq_2 @  (u1_struct_0 @ A) )  @ B) ) )  @  ( (k3_relat_1 @  (u2_msualg_1 @ A) )  @ B) ) ) )  =>  (! [D: $i, E: $i, F: $i] :  ( ( (= @  ( ( (g3_msualg_1 @ A)  @ B)  @ C) )  @  ( ( (g3_msualg_1 @ D)  @ E)  @ F) )  =>  ( ( (= @ A)  @ D)  &  ( ( (= @ B)  @ E)  &  ( (= @ C)  @ F) ) ) ) ) ) ) , file(msualg_1, g3_msualg_1)).
thf(idempotence_k2_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) )  =>  ( (= @  ( ( (k2_pboole @ A)  @ B)  @ B) )  @ B) ) ) , file(pboole, k2_pboole)).
thf(idempotence_k2_xboole_0, axiom,  (! [A: $i, B: $i] :  ( (= @  ( (k2_xboole_0 @ A)  @ A) )  @ A) ) , file(xboole_0, k2_xboole_0)).
thf(involutiveness_k4_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ A) ) )  @ A) ) ) , file(xcmplx_0, k4_xcmplx_0)).
thf(projectivity_k1_card_1, axiom,  (! [A: $i] :  ( (= @  (k1_card_1 @  (k1_card_1 @ A) ) )  @  (k1_card_1 @ A) ) ) , file(card_1, k1_card_1)).
thf(projectivity_k3_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (= @  (k3_finseq_1 @  (k3_finseq_1 @ A) ) )  @  (k3_finseq_1 @ A) ) ) ) , file(finseq_1, k3_finseq_1)).
thf(rc14_abcmiz_1, axiom,  (! [A: $i] :  ( (l1_msualg_1 @ A)  =>  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v13_abcmiz_1 @ B)  @ A) ) ) ) ) ) ) ) , file(abcmiz_1, rc14_abcmiz_1)).
thf(rc1_card_1, axiom,  (? [A: $i] :  (v1_card_1 @ A) ) , file(card_1, rc1_card_1)).
thf(rc1_dtconstr, axiom,  (? [A: $i] :  ( (l1_lang1 @ A)  &  ( ~ ( (v2_struct_0 @ A) )  &  ( (v1_lang1 @ A)  &  ( (v1_dtconstr @ A)  &  ( (v2_dtconstr @ A)  &  (v3_dtconstr @ A) ) ) ) ) ) ) , file(dtconstr, rc1_dtconstr)).
thf(rc1_facirc_1, axiom,  (? [A: $i] :  ~ ( (v1_xtuple_0 @ A) ) ) , file(facirc_1, rc1_facirc_1)).
thf(rc1_finseq_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) ) ) ) ) ) ) , file(finseq_1, rc1_finseq_1)).
thf(rc1_finseq_2, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_finseq_2 @ B)  @ A)  &  ~ ( (v1_xboole_0 @ B) ) ) ) ) , file(finseq_2, rc1_finseq_2)).
thf(rc1_finset_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_finset_1 @ A) ) ) , file(finset_1, rc1_finset_1)).
thf(rc1_funcop_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_funcop_1 @ A) ) ) ) , file(funcop_1, rc1_funcop_1)).
thf(rc1_funct_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) , file(funct_1, rc1_funct_1)).
thf(rc1_index_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  &  ( (v1_relat_1 @ B)  &  ( ~ ( (v3_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) ) ) ) , file(index_1, rc1_index_1)).
thf(rc1_instalg1, axiom,  (? [A: $i] :  ( (l1_msualg_1 @ A)  &  ( ~ ( (v2_struct_0 @ A) )  &  ~ ( (v11_struct_0 @ A) ) ) ) ) , file(instalg1, rc1_instalg1)).
thf(rc1_membered, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_membered @ A) ) ) , file(membered, rc1_membered)).
thf(rc1_msafree, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (? [B: $i] :  ( ( (l3_msualg_1 @ B)  @ A)  &  ( ( (v3_msualg_1 @ B)  @ A)  &  ( ( (v4_msualg_1 @ B)  @ A)  &  ( (v2_msafree @ B)  @ A) ) ) ) ) ) ) , file(msafree, rc1_msafree)).
thf(rc1_msafree1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v1_prob_2 @ B) ) ) ) ) ) ) , file(msafree1, rc1_msafree1)).
thf(rc1_ordinal1, axiom,  (? [A: $i] :  (v3_ordinal1 @ A) ) , file(ordinal1, rc1_ordinal1)).
thf(rc1_partfun1, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( ( (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) ) ) ) ) ) ) , file(partfun1, rc1_partfun1)).
thf(rc1_pboole, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) , file(pboole, rc1_pboole)).
thf(rc1_relat_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_relat_1 @ A) ) ) , file(relat_1, rc1_relat_1)).
thf(rc1_relset_1, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( ( (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) ) ) ) ) ) ) , file(relset_1, rc1_relset_1)).
thf(rc1_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) , file(subset_1, rc1_subset_1)).
thf(rc1_trees_3, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  ( (v1_trees_3 @ A)  &  (v2_trees_3 @ A) ) ) ) ) , file(trees_3, rc1_trees_3)).
thf(rc1_xboole_0, axiom,  (? [A: $i] :  (v1_xboole_0 @ A) ) , file(xboole_0, rc1_xboole_0)).
thf(rc1_xreal_0, axiom,  (? [A: $i] :  (v1_xreal_0 @ A) ) , file(xreal_0, rc1_xreal_0)).
thf(rc1_xtuple_0, axiom,  (? [A: $i] :  (v1_xtuple_0 @ A) ) , file(xtuple_0, rc1_xtuple_0)).
thf(rc1_xxreal_2, axiom,  (? [A: $i] :  ( (v1_membered @ A)  &  ( (v2_membered @ A)  &  ( (v3_membered @ A)  &  ( (v4_membered @ A)  &  ( (v5_membered @ A)  &  ( (v6_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_2 @ A)  &  (v2_xxreal_2 @ A) ) ) ) ) ) ) ) ) ) , file(xxreal_2, rc1_xxreal_2)).
thf(rc21_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_zfmisc_1 @ B) ) ) ) ) ) , file(struct_0, rc21_struct_0)).
thf(rc22_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v7_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ~ ( (v1_zfmisc_1 @ B) ) ) ) ) ) , file(struct_0, rc22_struct_0)).
thf(rc23_struct_0, axiom,  (! [A: $i] :  ( (v1_card_1 @ A)  =>  (? [B: $i] :  ( (l1_struct_0 @ B)  &  ( (v13_struct_0 @ B)  @ A) ) ) ) ) , file(struct_0, rc23_struct_0)).
thf(rc25_struct_0, axiom,  (? [A: $i] :  ( (l5_struct_0 @ A)  &  ~ ( (v15_struct_0 @ A) ) ) ) , file(struct_0, rc25_struct_0)).
thf(rc2_card_1, axiom,  (? [A: $i] :  ( (v1_ordinal1 @ A)  &  ( (v2_ordinal1 @ A)  &  ( (v3_ordinal1 @ A)  &  ( (v1_finset_1 @ A)  &  (v1_card_1 @ A) ) ) ) ) ) , file(card_1, rc2_card_1)).
thf(rc2_facirc_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_facirc_1 @ A) ) ) ) , file(facirc_1, rc2_facirc_1)).
thf(rc2_finseq_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_xboole_0 @ B)  &  ( (v1_finset_1 @ B)  &  (v1_finseq_1 @ B) ) ) ) ) ) ) ) ) ) , file(finseq_1, rc2_finseq_1)).
thf(rc2_finset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_finset_1 @ B) ) ) ) ) ) , file(finset_1, rc2_finset_1)).
thf(rc2_funcop_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v3_funct_1 @ A)  &  ~ ( (v1_xboole_0 @ A) ) ) ) ) ) , file(funcop_1, rc2_funcop_1)).
thf(rc2_funct_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funct_1 @ A) ) ) ) , file(funct_1, rc2_funct_1)).
thf(rc2_membered, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_membered @ A) ) ) , file(membered, rc2_membered)).
thf(rc2_msafree1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  =>  (? [B: $i] :  ( ( (l3_msualg_1 @ B)  @ A)  &  ( ( (v4_msualg_1 @ B)  @ A)  &  ( (v1_msafree1 @ B)  @ A) ) ) ) ) ) , file(msafree1, rc2_msafree1)).
thf(rc2_ordinal1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_ordinal1 @ A)  &  ( (v2_ordinal1 @ A)  &  (v3_ordinal1 @ A) ) ) ) ) , file(ordinal1, rc2_ordinal1)).
thf(rc2_pboole, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( (v3_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) ) , file(pboole, rc2_pboole)).
thf(rc2_relat_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  (v2_relat_1 @ A) ) ) , file(relat_1, rc2_relat_1)).
thf(rc2_subset_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  (v1_xboole_0 @ B) ) ) ) , file(subset_1, rc2_subset_1)).
thf(rc2_trees_3, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  (v3_trees_3 @ A) ) ) ) , file(trees_3, rc2_trees_3)).
thf(rc2_xboole_0, axiom,  (? [A: $i] :  ~ ( (v1_xboole_0 @ A) ) ) , file(xboole_0, rc2_xboole_0)).
thf(rc2_xreal_0, axiom,  (? [A: $i] :  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc2_xreal_0)).
thf(rc2_xxreal_2, axiom,  (? [A: $i] :  ( (v6_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_finset_1 @ A) ) ) ) , file(xxreal_2, rc2_xxreal_2)).
thf(rc3_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u4_struct_0 @ A) )  &  ( (v2_abcmiz_1 @ B)  @ A) ) ) ) ) , file(abcmiz_1, rc3_abcmiz_1)).
thf(rc3_card_1, axiom,  (? [A: $i] :  ~ ( (v1_finset_1 @ A) ) ) , file(card_1, rc3_card_1)).
thf(rc3_finseq_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) , file(finseq_1, rc3_finseq_1)).
thf(rc3_finset_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finset_1 @ A) ) ) ) ) , file(finset_1, rc3_finset_1)).
thf(rc3_funcop_1, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  (? [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) ) ) ) , file(funcop_1, rc3_funcop_1)).
thf(rc3_funct_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) ) , file(funct_1, rc3_funct_1)).
thf(rc3_membered, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v6_membered @ A)  &  (v7_membered @ A) ) ) ) , file(membered, rc3_membered)).
thf(rc3_ordinal1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  (v5_ordinal1 @ B) ) ) ) ) ) , file(ordinal1, rc3_ordinal1)).
thf(rc3_partfun1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  (? [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  ( (v1_funct_1 @ C)  &  ~ ( (v1_xboole_0 @ C) ) ) ) ) ) ) ) ) ) , file(partfun1, rc3_partfun1)).
thf(rc3_pboole, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) ) , file(pboole, rc3_pboole)).
thf(rc3_relat_1, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v5_relat_1 @ C)  @ B) ) ) ) ) , file(relat_1, rc3_relat_1)).
thf(rc3_subset_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( ( (v1_subset_1 @ B)  @ A) ) ) ) ) , file(subset_1, rc3_subset_1)).
thf(rc3_xreal_0, axiom,  (? [A: $i] :  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc3_xreal_0)).
thf(rc3_xxreal_2, axiom,  (? [A: $i] :  ( (v1_membered @ A)  &  ( (v2_membered @ A)  &  ( (v3_membered @ A)  &  ( (v4_membered @ A)  &  ( (v5_membered @ A)  &  ( (v6_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_2 @ A)  &  (v5_xxreal_2 @ A) ) ) ) ) ) ) ) ) ) , file(xxreal_2, rc3_xxreal_2)).
thf(rc4_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) )  &  ( ~ ( (v1_xtuple_0 @ B) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v1_finset_1 @ B)  &  ( (v3_trees_2 @ B)  &  ( ( (v5_abcmiz_1 @ B)  @ A)  @  (k28_abcmiz_1 @ A) ) ) ) ) ) ) ) ) ) ) ) , file(abcmiz_1, rc4_abcmiz_1)).
thf(rc4_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_finset_1 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( (v1_finset_1 @ B) ) ) ) ) ) , file(card_1, rc4_card_1)).
thf(rc4_finseq_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) ) ) ) , file(finseq_1, rc4_finseq_1)).
thf(rc4_funcop_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) ) ) ) , file(funcop_1, rc4_funcop_1)).
thf(rc4_funct_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) ) ) , file(funct_1, rc4_funct_1)).
thf(rc4_ordinal1, axiom,  (? [A: $i] :  (v7_ordinal1 @ A) ) , file(ordinal1, rc4_ordinal1)).
thf(rc4_pboole, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v1_funcop_1 @ B) ) ) ) ) ) ) , file(pboole, rc4_pboole)).
thf(rc4_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) , file(struct_0, rc4_struct_0)).
thf(rc4_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( (v1_subset_1 @ B)  @ A) ) ) ) ) , file(subset_1, rc4_subset_1)).
thf(rc4_trees_3, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_trees_3 @ B)  @ A)  &  ( (v4_funct_1 @ B)  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (v1_finset_1 @ B)  &  (v3_trees_3 @ B) ) ) ) ) ) ) ) , file(trees_3, rc4_trees_3)).
thf(rc4_xreal_0, axiom,  (? [A: $i] :  ( (v1_xboole_0 @ A)  &  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc4_xreal_0)).
thf(rc4_xxreal_2, axiom,  (? [A: $i] :  ( (v2_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_xxreal_2 @ A) ) ) ) , file(xxreal_2, rc4_xxreal_2)).
thf(rc5_card_1, axiom,  (! [A: $i] :  ( (v1_card_1 @ A)  =>  (? [B: $i] :  ( (v3_card_1 @ B)  @ A) ) ) ) , file(card_1, rc5_card_1)).
thf(rc5_finseq_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v2_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  ( (v1_finseq_1 @ A)  &  (v2_finseq_1 @ A) ) ) ) ) ) ) ) ) , file(finseq_1, rc5_finseq_1)).
thf(rc5_finset_1, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  ( (v1_funct_1 @ C)  &  (v1_finset_1 @ C) ) ) ) ) ) ) , file(finset_1, rc5_finset_1)).
thf(rc5_funct_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ~ ( (v3_funct_1 @ A) ) ) ) ) , file(funct_1, rc5_funct_1)).
thf(rc5_msualg_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  =>  (? [B: $i] :  ( ( (l3_msualg_1 @ B)  @ A)  &  ( (v3_msualg_1 @ B)  @ A) ) ) ) ) , file(msualg_1, rc5_msualg_1)).
thf(rc5_ordinal1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v7_ordinal1 @ A) ) ) , file(ordinal1, rc5_ordinal1)).
thf(rc5_pboole, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) ) )  =>  (? [C: $i] :  ( ( ( (m3_pboole @ C)  @ A)  @ B)  &  ( (v1_relat_1 @ C)  &  ( (v2_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) ) ) ) , file(pboole, rc5_pboole)).
thf(rc5_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_zfmisc_1 @ B) ) ) ) ) ) , file(subset_1, rc5_subset_1)).
thf(rc5_trees_2, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_trees_2 @ A) ) ) ) , file(trees_2, rc5_trees_2)).
thf(rc5_trees_3, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  ( (v1_finseq_1 @ A)  &  ( (v2_finseq_1 @ A)  &  ( (v4_trees_3 @ A)  &  (v5_trees_3 @ A) ) ) ) ) ) ) ) ) ) , file(trees_3, rc5_trees_3)).
thf(rc5_xxreal_2, axiom,  (? [A: $i] :  ( (v2_membered @ A)  &  ( (v1_xxreal_2 @ A)  &  ( (v2_xxreal_2 @ A)  &  (v6_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, rc5_xxreal_2)).
thf(rc6_card_1, axiom,  (! [A: $i] :  ( (v1_card_1 @ A)  =>  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  ( (v3_card_1 @ B)  @ A) ) ) ) ) ) , file(card_1, rc6_card_1)).
thf(rc6_finseq_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_finseq_1 @ B)  @ A)  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( ( (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) ) ) ) ) ) ) ) ) ) ) ) , file(finseq_1, rc6_finseq_1)).
thf(rc6_finset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  (? [C: $i] :  ( ~ ( (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) ) ) ) ) ) ) ) ) , file(finset_1, rc6_finset_1)).
thf(rc6_funct_1, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  (v1_funct_1 @ C) ) ) ) ) ) , file(funct_1, rc6_funct_1)).
thf(rc6_msualg_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_msualg_1 @ A) )  =>  (? [B: $i] :  ( ( (l3_msualg_1 @ B)  @ A)  &  ( ( (v3_msualg_1 @ B)  @ A)  &  ( (v4_msualg_1 @ B)  @ A) ) ) ) ) ) , file(msualg_1, rc6_msualg_1)).
thf(rc6_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_zfmisc_1 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( (v1_zfmisc_1 @ B) ) ) ) ) ) , file(subset_1, rc6_subset_1)).
thf(rc6_trees_2, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  (v3_trees_2 @ B) ) ) ) ) ) ) , file(trees_2, rc6_trees_2)).
thf(rc6_trees_3, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  ( (v1_finseq_1 @ A)  &  ( (v2_finseq_1 @ A)  &  (v6_trees_3 @ A) ) ) ) ) ) ) ) ) , file(trees_3, rc6_trees_3)).
thf(rc6_xxreal_2, axiom,  (? [A: $i] :  ( (v2_membered @ A)  &  ( ~ ( (v1_xxreal_2 @ A) )  &  ( (v2_xxreal_2 @ A)  &  (v6_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, rc6_xxreal_2)).
thf(rc7_card_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( (v3_card_1 @ B)  @ np__1) ) ) ) ) , file(card_1, rc7_card_1)).
thf(rc7_finseq_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( (v1_funct_1 @ B)  &  ( (v1_finset_1 @ B)  &  ( ( (v3_card_1 @ B)  @ A)  &  ( (v1_finseq_1 @ B)  &  (v2_finseq_1 @ B) ) ) ) ) ) ) ) ) ) , file(finseq_1, rc7_finseq_1)).
thf(rc7_finset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_zfmisc_1 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( ~ ( (v1_zfmisc_1 @ B) )  &  (v1_finset_1 @ B) ) ) ) ) ) , file(finset_1, rc7_finset_1)).
thf(rc7_funct_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v4_funct_1 @ A) ) ) , file(funct_1, rc7_funct_1)).
thf(rc7_pboole, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [C: $i] :  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ B)  &  ( ( (v5_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ B) ) ) ) ) ) ) ) , file(pboole, rc7_pboole)).
thf(rc7_trees_2, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v1_finset_1 @ A)  &  (v3_trees_2 @ A) ) ) ) ) , file(trees_2, rc7_trees_2)).
thf(rc7_trees_3, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v4_trees_3 @ A)  &  (v5_trees_3 @ A) ) ) ) ) ) , file(trees_3, rc7_trees_3)).
thf(rc7_xxreal_2, axiom,  (? [A: $i] :  ( (v2_membered @ A)  &  ( (v1_xxreal_2 @ A)  &  ( ~ ( (v2_xxreal_2 @ A) )  &  (v6_xxreal_2 @ A) ) ) ) ) , file(xxreal_2, rc7_xxreal_2)).
thf(rc8_finseq_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v3_finseq_1 @ A) ) ) , file(finseq_1, rc8_finseq_1)).
thf(rc8_finset_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_finset_1 @ A)  &  (v5_finset_1 @ A) ) ) ) , file(finset_1, rc8_finset_1)).
thf(rc8_trees_2, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_finset_1 @ B)  &  (v3_trees_2 @ B) ) ) ) ) ) ) ) , file(trees_2, rc8_trees_2)).
thf(rc8_trees_3, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_trees_3 @ A) ) ) ) ) , file(trees_3, rc8_trees_3)).
thf(rc8_xxreal_2, axiom,  (? [A: $i] :  ( (v2_membered @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xxreal_2 @ A) )  &  ( ~ ( (v2_xxreal_2 @ A) )  &  (v6_xxreal_2 @ A) ) ) ) ) ) , file(xxreal_2, rc8_xxreal_2)).
thf(rc9_finseq_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_finset_1 @ B)  &  ( (v1_finseq_1 @ B)  &  (v2_finseq_1 @ B) ) ) ) ) ) ) ) ) , file(finseq_1, rc9_finseq_1)).
thf(rc9_finset_1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_finset_1 @ A) ) ) ) ) , file(finset_1, rc9_finset_1)).
thf(rc9_funct_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  (v1_funct_1 @ B) ) ) ) ) ) , file(funct_1, rc9_funct_1)).
thf(rc9_trees_2, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  (? [C: $i] :  ( ( (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_xboole_0 @ C) ) ) ) ) ) ) ) ) , file(trees_2, rc9_trees_2)).
thf(rd1_xtuple_0, axiom,  (! [A: $i, B: $i] :  ( (= @  (k1_xtuple_0 @  ( (k4_tarski @ A)  @ B) ) )  @ A) ) , file(xtuple_0, rd1_xtuple_0)).
thf(rd2_xtuple_0, axiom,  (! [A: $i, B: $i] :  ( (= @  (k2_xtuple_0 @  ( (k4_tarski @ A)  @ B) ) )  @ B) ) , file(xtuple_0, rd2_xtuple_0)).
thf(rd3_xtuple_0, axiom,  (! [A: $i] :  ( (v1_xtuple_0 @ A)  =>  ( (= @  ( (k4_tarski @  (k1_xtuple_0 @ A) )  @  (k2_xtuple_0 @ A) ) )  @ A) ) ) , file(xtuple_0, rd3_xtuple_0)).
thf(redefinition_k11_lang1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_finseq_1 @ C)  @ A)  &  ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) ) ) )  =>  ( (= @  ( ( ( (k11_lang1 @ A)  @ B)  @ C)  @ D) )  @  ( (k3_relat_1 @ C)  @ D) ) ) ) , file(lang1, k11_lang1)).
thf(redefinition_k15_funcop_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( (m1_subset_1 @ D)  @ A)  &  ( (m1_subset_1 @ E)  @ A) )  =>  ( (= @  ( ( ( ( (k15_funcop_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( ( ( (k14_funcop_1 @ B)  @ C)  @ D)  @ E) ) ) ) , file(funcop_1, k15_funcop_1)).
thf(redefinition_k1_domain_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_subset_1 @ C)  @ A)  &  ( (m1_subset_1 @ D)  @ B) ) ) )  =>  ( (= @  ( ( ( (k1_domain_1 @ A)  @ B)  @ C)  @ D) )  @  ( (k4_tarski @ C)  @ D) ) ) ) , file(domain_1, k1_domain_1)).
thf(redefinition_k1_dtconstr, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_trees_3 @ B)  @ A)  &  ( (m1_finseq_1 @ C)  @ B) ) )  =>  ( (= @  ( ( (k1_dtconstr @ A)  @ B)  @ C) )  @  (k14_trees_3 @ C) ) ) ) , file(dtconstr, k1_dtconstr)).
thf(redefinition_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k5_numbers) )  =>  ( (= @  ( (k1_nat_1 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(nat_1, k1_nat_1)).
thf(redefinition_k1_partfun1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] :  ( ( ( (v1_funct_1 @ E)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  ( (v1_funct_1 @ F)  &  ( (m1_subset_1 @ F)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ C)  @ D) ) ) ) )  =>  ( (= @  ( ( ( ( ( (k1_partfun1 @ A)  @ B)  @ C)  @ D)  @ E)  @ F) )  @  ( (k3_relat_1 @ E)  @ F) ) ) ) , file(partfun1, k1_partfun1)).
thf(redefinition_k1_relset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v4_relat_1 @ B)  @ A) )  =>  ( (= @  ( (k1_relset_1 @ A)  @ B) )  @  (k9_xtuple_0 @ B) ) ) ) , file(relset_1, k1_relset_1)).
thf(redefinition_k2_finseq_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (= @  (k2_finseq_1 @ A) )  @  (k1_finseq_1 @ A) ) ) ) , file(finseq_1, k2_finseq_1)).
thf(redefinition_k2_msaterm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( (m1_subset_1 @ C)  @  (u4_struct_0 @ A) ) ) )  =>  ( (= @  ( ( (k2_msaterm @ A)  @ B)  @ C) )  @  ( ( (k6_msafree @ A)  @ B)  @ C) ) ) ) , file(msaterm, k2_msaterm)).
thf(redefinition_k2_relset_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v5_relat_1 @ B)  @ A) )  =>  ( (= @  ( (k2_relset_1 @ A)  @ B) )  @  (k10_xtuple_0 @ B) ) ) ) , file(relset_1, k2_relset_1)).
thf(redefinition_k2_trees_4, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @ A) )  =>  ( (= @  ( (k2_trees_4 @ A)  @ B) )  @  (k1_trees_4 @ B) ) ) ) , file(trees_4, k2_trees_4)).
thf(redefinition_k32_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (= @  (k32_abcmiz_1 @ A) )  @  (k15_abcmiz_1 @ A) ) ) ) , file(abcmiz_1, k32_abcmiz_1)).
thf(redefinition_k33_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  ( (= @  (k33_abcmiz_1 @ A) )  @  (k16_abcmiz_1 @ A) ) ) ) , file(abcmiz_1, k33_abcmiz_1)).
thf(redefinition_k3_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (= @  (k3_finseq_1 @ A) )  @  (k1_card_1 @ A) ) ) ) , file(finseq_1, k3_finseq_1)).
thf(redefinition_k3_finseq_2, axiom,  (! [A: $i] :  ( (= @  (k3_finseq_2 @ A) )  @  (k13_finseq_1 @ A) ) ) , file(finseq_2, k3_finseq_2)).
thf(redefinition_k3_funct_2, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (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) ) ) ) , file(funct_2, k3_funct_2)).
thf(redefinition_k3_msafree, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  =>  ( (= @  ( (k3_msafree @ A)  @ B) )  @  (k2_card_3 @ B) ) ) ) , file(msafree, k3_msafree)).
thf(redefinition_k3_pre_poly, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @ A) )  =>  ( (= @  ( (k3_pre_poly @ A)  @ B) )  @  (k5_finseq_1 @ B) ) ) ) , file(pre_poly, k3_pre_poly)).
thf(redefinition_k4_finseq_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  ( (= @  (k4_finseq_1 @ A) )  @  (k9_xtuple_0 @ A) ) ) ) , file(finseq_1, k4_finseq_1)).
thf(redefinition_k4_finseqop, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (m1_finseq_1 @ C)  @ A)  &  ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) )  =>  ( (= @  ( ( ( (k4_finseqop @ A)  @ B)  @ C)  @ D) )  @  ( (k3_relat_1 @ C)  @ D) ) ) ) , file(finseqop, k4_finseqop)).
thf(redefinition_k4_pre_poly, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_subset_1 @ B)  @ A)  &  ( (m1_subset_1 @ C)  @ A) ) )  =>  ( (= @  ( ( (k4_pre_poly @ A)  @ B)  @ C) )  @  ( (k10_finseq_1 @ B)  @ C) ) ) ) , file(pre_poly, k4_pre_poly)).
thf(redefinition_k51_abcmiz_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_lang1 @ A) )  =>  ( (= @  (k51_abcmiz_1 @ A) )  @  (k1_lang1 @ A) ) ) ) , file(abcmiz_1, k51_abcmiz_1)).
thf(redefinition_k52_abcmiz_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_lang1 @ A) )  =>  ( (= @  (k52_abcmiz_1 @ A) )  @  (k2_lang1 @ A) ) ) ) , file(abcmiz_1, k52_abcmiz_1)).
thf(redefinition_k5_numbers, axiom,  ( (= @ k5_numbers)  @ k4_ordinal1) , file(numbers, k5_numbers)).
thf(redefinition_k6_domain_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @ A) )  =>  ( (= @  ( (k6_domain_1 @ A)  @ B) )  @  (k1_tarski @ B) ) ) ) , file(domain_1, k6_domain_1)).
thf(redefinition_k6_msaterm, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  &  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  &  ( ( (m1_subset_1 @ C)  @  (k7_dtconstr @  ( (k5_msafree @ A)  @ B) ) )  &  ( ( ( (m1_msaterm @ D)  @ A)  @ B)  @ C) ) ) )  =>  ( (= @  ( ( ( (k6_msaterm @ A)  @ B)  @ C)  @ D) )  @  ( (k4_trees_4 @ C)  @ D) ) ) ) , file(msaterm, k6_msaterm)).
thf(redefinition_k6_numbers, axiom,  ( (= @ k6_numbers)  @ k1_xboole_0) , file(numbers, k6_numbers)).
thf(redefinition_k7_dtconstr, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v2_dtconstr @ A)  &  (l1_lang1 @ A) ) )  =>  ( (= @  (k7_dtconstr @ A) )  @  (k2_lang1 @ A) ) ) ) , file(dtconstr, k7_dtconstr)).
thf(redefinition_k7_relset_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( (= @  ( ( ( (k7_relset_1 @ A)  @ B)  @ C)  @ D) )  @  ( (k7_relat_1 @ C)  @ D) ) ) ) , file(relset_1, k7_relset_1)).
thf(redefinition_k8_funcop_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ C)  @ A) )  =>  ( (= @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  @  ( (k2_funcop_1 @ B)  @ C) ) ) ) , file(funcop_1, k8_funcop_1)).
thf(redefinition_k8_trees_4, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_subset_1 @ B)  @ A)  &  ( (m1_finseq_1 @ C)  @  (k5_trees_3 @ A) ) ) )  =>  ( (= @  ( ( (k8_trees_4 @ A)  @ B)  @ C) )  @  ( (k4_trees_4 @ B)  @ C) ) ) ) , file(trees_4, k8_trees_4)).
thf(redefinition_k9_finseq_1, axiom,  (! [A: $i] :  ( (= @  (k9_finseq_1 @ A) )  @  (k5_finseq_1 @ A) ) ) , file(finseq_1, k9_finseq_1)).
thf(redefinition_m1_dtconstr, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_trees_3 @ B)  @ A) )  &  ( ~ ( (v1_xboole_0 @ C) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @ B) ) ) ) )  =>  (! [D: $i] :  ( ( ( ( (m1_dtconstr @ D)  @ A)  @ B)  @ C)  <=>  ( (m1_subset_1 @ D)  @ C) ) ) ) ) , file(dtconstr, m1_dtconstr)).
thf(redefinition_m1_trees_4, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) )  =>  (! [C: $i] :  ( ( ( (m1_trees_4 @ C)  @ A)  @ B)  <=>  ( (m1_finseq_1 @ C)  @ B) ) ) ) ) , file(trees_4, m1_trees_4)).
thf(redefinition_m2_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m2_finseq_1 @ B)  @ A)  <=>  ( (m1_finseq_1 @ B)  @ A) ) ) ) , file(finseq_1, m2_finseq_1)).
thf(redefinition_m2_finseq_2, axiom,  (! [A: $i, B: $i] :  ( ( (m1_finseq_2 @ B)  @ A)  =>  (! [C: $i] :  ( ( ( (m2_finseq_2 @ C)  @ A)  @ B)  <=>  ( (m1_subset_1 @ C)  @ B) ) ) ) ) , file(finseq_2, m2_finseq_2)).
thf(redefinition_m2_subset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) ) )  =>  (! [C: $i] :  ( ( ( (m2_subset_1 @ C)  @ A)  @ B)  <=>  ( (m1_subset_1 @ C)  @ B) ) ) ) ) , file(subset_1, m2_subset_1)).
thf(redefinition_r2_relset_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  =>  ( ( ( ( (r2_relset_1 @ A)  @ B)  @ C)  @ D)  <=>  ( (= @ C)  @ D) ) ) ) , file(relset_1, r2_relset_1)).
thf(redefinition_r8_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) ) )  =>  ( ( ( (r8_pboole @ A)  @ B)  @ C)  <=>  ( (= @ B)  @ C) ) ) ) , file(pboole, r8_pboole)).
thf(reflexivity_r1_tarski, axiom,  (! [A: $i, B: $i] :  ( (r1_tarski @ A)  @ A) ) , file(tarski, r1_tarski)).
thf(reflexivity_r1_xxreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  ( (r1_xxreal_0 @ A)  @ A) ) ) , file(xxreal_0, r1_xxreal_0)).
thf(reflexivity_r2_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) )  =>  ( ( (r2_pboole @ A)  @ B)  @ B) ) ) , file(pboole, r2_pboole)).
thf(reflexivity_r2_relset_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  =>  ( ( ( (r2_relset_1 @ A)  @ B)  @ C)  @ C) ) ) , file(relset_1, r2_relset_1)).
thf(reflexivity_r8_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) ) )  =>  ( ( (r8_pboole @ A)  @ B)  @ B) ) ) , file(pboole, r8_pboole)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom,  ( (r1_xxreal_0 @ np__0)  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn1d2, axiom,  ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom,  ( (r1_xxreal_0 @ np__1)  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom,  ( (r1_xxreal_0 @ np__2)  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rn1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__0) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r0_r0)).
thf(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__1) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r1_r1)).
thf(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @ np__2) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r2_r2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm1_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm2_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__0) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r0_r1)).
thf(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @ np__1) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r1_r2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm1_r0)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @ np__0) )  @ np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_r0_r2)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm1_r1)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ np__2)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__0) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r0_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r1_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r1_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @ np__0) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r0_r0)).
thf(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r1_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm1_r1)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm2_r2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__0) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r0_r1)).
thf(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__1) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r1_r0)).
thf(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rm1_r2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__0) )  @ np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r0_r2)).
thf(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__1) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r1_r1)).
thf(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ np__2)  @ np__2) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__0) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r0_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r1_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm1_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__0) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_r0_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__0) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0)).
thf(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__1) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r1_r1)).
thf(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm1_rm1)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__2) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2)).
thf(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__1) )  @ np__2) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r1_r2)).
thf(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ np__2)  @ np__2) )  @ np__1) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r2_r1)).
thf(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm1_r1_rm1)).
thf(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2)).
thf(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm2_r2_rm1)).
thf(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__1) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r1_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @ np__2) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r2_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  (k4_xcmplx_0 @ np__2) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rm2_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__0)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn1d2_r0)).
thf(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__1) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r1_r1)).
thf(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r2_r2)).
thf(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rm2_rm2)).
thf(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @ np__1) )  @ np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r1_r2)).
thf(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn1d2_r1)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @ np__2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @ np__1) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r1_rm2)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ np__2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__0) )  @ np__0) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @ np__2) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r2_r1)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @ np__2) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) )  @ np__1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1)).
thf(rqRealNeg__k4_xcmplx_0__r0_r0, axiom,  ( (= @  (k4_xcmplx_0 @ np__0) )  @ np__0) , file(arithm, rqRealNeg__k4_xcmplx_0__r0_r0)).
thf(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom,  ( (= @  (k4_xcmplx_0 @ np__1) )  @  (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r1_rm1)).
thf(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom,  ( (= @  (k4_xcmplx_0 @ np__2) )  @  (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r2_rm2)).
thf(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__1) ) )  @ np__1) , file(arithm, rqRealNeg__k4_xcmplx_0__rm1_r1)).
thf(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ np__2) ) )  @ np__2) , file(arithm, rqRealNeg__k4_xcmplx_0__rm2_r2)).
thf(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2)).
thf(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ np__1) )  @ np__2) ) )  @  ( (k7_xcmplx_0 @ np__1)  @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2)).
thf(spc0_boole, axiom,  (v1_xboole_0 @ np__0) , file(boole, spc0_boole)).
thf(spc0_numerals, axiom,  ( ( ( (m2_subset_1 @ np__0)  @ k1_numbers)  @ k5_numbers)  &  ( ( (m1_subset_1 @ np__0)  @ k5_numbers)  &  ( (m1_subset_1 @ np__0)  @ k1_numbers) ) ) , file(numerals, spc0_numerals)).
thf(spc1_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @  (k4_xcmplx_0 @ B) ) )  @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(arithm, spc1_arithm)).
thf(spc1_boole, axiom,  ~ ( (v1_xboole_0 @ np__1) ) , file(boole, spc1_boole)).
thf(spc1_numerals, axiom,  ( ( (v2_xxreal_0 @ np__1)  &  ( ( (m2_subset_1 @ np__1)  @ k1_numbers)  @ k5_numbers) )  &  ( ( (m1_subset_1 @ np__1)  @ k5_numbers)  &  ( (m1_subset_1 @ np__1)  @ k1_numbers) ) ) , file(numerals, spc1_numerals)).
thf(spc2_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @  (k4_xcmplx_0 @ np__1) ) )  @  (k4_xcmplx_0 @ A) ) ) ) , file(arithm, spc2_arithm)).
thf(spc2_boole, axiom,  ~ ( (v1_xboole_0 @ np__2) ) , file(boole, spc2_boole)).
thf(spc2_numerals, axiom,  ( ( (v2_xxreal_0 @ np__2)  &  ( ( (m2_subset_1 @ np__2)  @ k1_numbers)  @ k5_numbers) )  &  ( ( (m1_subset_1 @ np__2)  @ k5_numbers)  &  ( (m1_subset_1 @ np__2)  @ k1_numbers) ) ) , file(numerals, spc2_numerals)).
thf(spc4_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (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) ) ) ) , file(arithm, spc4_arithm)).
thf(spc5_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (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) ) ) ) ) , file(arithm, spc5_arithm)).
thf(spc6_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (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) ) ) ) ) , file(arithm, spc6_arithm)).
thf(spc7_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (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) ) ) ) ) , file(arithm, spc6_arithm)).
thf(spc8_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (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) ) ) ) ) , file(arithm, spc8_arithm)).
thf(spc9_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ A) )  @  (k4_xcmplx_0 @ B) ) )  @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(arithm, spc9_arithm)).
thf(symmetry_r2_relset_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  =>  ( ( ( ( (r2_relset_1 @ A)  @ B)  @ C)  @ D)  =>  ( ( ( (r2_relset_1 @ A)  @ B)  @ D)  @ C) ) ) ) , file(relset_1, r2_relset_1)).
thf(symmetry_r8_pboole, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @ A) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @ A) ) ) ) ) )  =>  ( ( ( (r8_pboole @ A)  @ B)  @ C)  =>  ( ( (r8_pboole @ A)  @ C)  @ B) ) ) ) , file(pboole, r8_pboole)).
thf(t122_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  (! [B: $i] :  ( ( (r2_hidden @ B)  @  (k51_abcmiz_1 @  ( (k5_msafree @ A)  @  (k28_abcmiz_1 @ A) ) ) )  <=>  (? [C: $i] :  ( ( (m1_subset_1 @ C)  @ k2_abcmiz_1)  &  ( (= @ B)  @  ( ( ( (k1_domain_1 @ k2_abcmiz_1)  @  (u1_struct_0 @ A) )  @ C)  @  (k14_abcmiz_1 @ A) ) ) ) ) ) ) ) ) , file(abcmiz_1, t122_abcmiz_1)).
thf(t123_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  (! [B: $i] :  ( ( (r2_hidden @ B)  @  (k52_abcmiz_1 @  ( (k5_msafree @ A)  @  (k28_abcmiz_1 @ A) ) ) )  <=>  ~ ( ( ~ ( ( (= @ B)  @  ( (k4_tarski @  (k33_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) ) ) )  &  ( ~ ( ( (= @ B)  @  ( (k4_tarski @  (k32_abcmiz_1 @ A) )  @  (u1_struct_0 @ A) ) ) )  &  (! [C: $i] :  ( ( ( (v2_abcmiz_1 @ C)  @ A)  &  ( (m1_subset_1 @ C)  @  (u4_struct_0 @ A) ) )  =>  ~ ( ( (= @ B)  @  ( (k4_tarski @ C)  @  (u1_struct_0 @ A) ) ) ) ) ) ) ) ) ) ) ) ) , file(abcmiz_1, t123_abcmiz_1)).
thf(t127_abcmiz_1, axiom,  (! [A: $i] :  ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) )  =>  (! [C: $i] :  ( ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @  (u1_struct_0 @ A) ) ) ) )  =>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) )  =>  (! [E: $i] :  ( ( (m1_subset_1 @ E)  @  (u1_struct_0 @  ( (k5_msafree @ A)  @ C) ) )  =>  (! [F: $i] :  ( ( (m2_finseq_1 @ F)  @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) )  =>  (! [G: $i] :  ( ( (m2_finseq_1 @ G)  @  (u1_struct_0 @  ( (k5_msafree @ A)  @ C) ) )  =>  ( ( ( (= @ D)  @ E)  &  ( ( (= @ F)  @ G)  &  ( ( (r1_lang1 @  ( (k5_msafree @ A)  @ B) )  @ D)  @ F) ) )  =>  ( ( (r1_lang1 @  ( (k5_msafree @ A)  @ C) )  @ E)  @ G) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(abcmiz_1, t127_abcmiz_1)).
thf(t128_abcmiz_1, axiom,  (! [A: $i] :  ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v13_abcmiz_1 @ B)  @ A) ) ) ) )  =>  ( (= @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  @  (k4_dtconstr @  ( (k5_msafree @ A)  @ B) ) ) ) ) ) ) , file(abcmiz_1, t128_abcmiz_1)).
thf(t129_abcmiz_1, axiom,  (! [A: $i] :  ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (! [C: $i] :  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) ) ) ) ) )  =>  ( ( ( (m4_abcmiz_1 @ C)  @ A)  @ B)  <=>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (u1_struct_0 @ A) )  =>  (! [E: $i] :  ( ( (r2_hidden @ E)  @  ( (k1_funct_1 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) )  @ D) )  =>  ( (r2_hidden @  ( (k1_funct_1 @ C)  @ E) )  @  ( (k1_funct_1 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) )  @ D) ) ) ) ) ) ) ) ) ) ) ) ) , file(abcmiz_1, t129_abcmiz_1)).
thf(t12_funct_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) )  =>  (! [C: $i] :  ( ( (v1_relat_1 @ C)  &  (v1_funct_1 @ C) )  =>  ( ( (r2_hidden @ A)  @  (k9_xtuple_0 @  ( (k3_relat_1 @ C)  @ B) ) )  =>  ( (= @  ( (k1_funct_1 @  ( (k3_relat_1 @ C)  @ B) )  @ A) )  @  ( (k1_funct_1 @ B)  @  ( (k1_funct_1 @ C)  @ A) ) ) ) ) ) ) ) ) , file(funct_1, t12_funct_1)).
thf(t1_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @ k6_numbers) )  @ A) ) ) , file(arithm, t1_arithm)).
thf(t1_boole, axiom,  (! [A: $i] :  ( (= @  ( (k2_xboole_0 @ A)  @ k1_xboole_0) )  @ A) ) , file(boole, t1_boole)).
thf(t1_msaterm, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u4_struct_0 @ A) )  =>  (! [D: $i] :  ( ( (v1_relat_1 @ D)  &  ( (v1_funct_1 @ D)  &  (v1_finseq_1 @ D) ) )  =>  ( ( ( (r2_hidden @  ( (k4_trees_4 @  ( (k4_tarski @ C)  @  (u1_struct_0 @ A) ) )  @ D) )  @  ( (k1_msaterm @ A)  @ B) )  &  (v6_trees_3 @ D) )  <=>  ( ( ( (m1_msaterm @ D)  @ A)  @ B)  @  ( ( (k2_msaterm @ A)  @ B)  @ C) ) ) ) ) ) ) ) ) ) ) , file(msaterm, t1_msaterm)).
thf(t1_numerals, axiom,  ( (m1_subset_1 @ k1_xboole_0)  @ k4_ordinal1) , file(numerals, t1_numerals)).
thf(t1_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  (v2_xxreal_0 @ A) )  =>  (v2_xxreal_0 @ B) ) ) ) ) ) , file(real, t1_real)).
thf(t1_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ( (m1_subset_1 @ A)  @ B) ) ) ) , file(subset, t1_subset)).
thf(t20_msaterm, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u4_struct_0 @ A) )  =>  (! [D: $i] :  ( ( ( ( (m1_msaterm @ D)  @ A)  @ B)  @  ( ( (k2_msaterm @ A)  @ B)  @ C) )  =>  ( (= @  ( ( (k7_msaterm @ A)  @ B)  @  ( ( ( (k6_msaterm @ A)  @ B)  @  ( ( (k2_msaterm @ A)  @ B)  @ C) )  @ D) ) )  @  ( (k2_msualg_1 @ A)  @ C) ) ) ) ) ) ) ) ) ) , file(msaterm, t20_msaterm)).
thf(t21_msaterm, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v2_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u4_struct_0 @ A) )  =>  (! [D: $i] :  ( ( ( (m1_trees_4 @ D)  @  (k5_trees_3 @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) ) )  @  ( (k1_msaterm @ A)  @ B) )  =>  ( ( ( ( (m1_msaterm @ D)  @ A)  @ B)  @  ( ( (k2_msaterm @ A)  @ B)  @ C) )  <=>  ( ( (r1_lang1 @  ( (k5_msafree @ A)  @ B) )  @  ( ( (k2_msaterm @ A)  @ B)  @ C) )  @  ( ( (k1_dtconstr @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) )  @  (k5_trees_3 @  (u1_struct_0 @  ( (k5_msafree @ A)  @ B) ) ) )  @ D) ) ) ) ) ) ) ) ) ) ) , file(msaterm, t21_msaterm)).
thf(t24_msafree3, axiom,  (! [A: $i] :  ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) )  =>  ( ( (r8_pboole @  (u1_struct_0 @ A) )  @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) )  @  ( ( (k5_msafree3 @ A)  @  ( ( (k2_pboole @  (u1_struct_0 @ A) )  @ B)  @  ( ( (k8_funcop_1 @  (k1_zfmisc_1 @ k5_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k6_domain_1 @ k5_numbers)  @ k6_numbers) ) ) )  @ B) ) ) ) ) ) , file(msafree3, t24_msafree3)).
thf(t27_relat_1, axiom,  (! [A: $i] :  ( (v1_relat_1 @ A)  =>  (! [B: $i] :  ( (v1_relat_1 @ B)  =>  ( ( (r1_tarski @  (k10_xtuple_0 @ A) )  @  (k9_xtuple_0 @ B) )  =>  ( (= @  (k9_xtuple_0 @  ( (k3_relat_1 @ A)  @ B) ) )  @  (k9_xtuple_0 @ A) ) ) ) ) ) ) , file(relat_1, t27_relat_1)).
thf(t29_finseq_2, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_finseq_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) )  =>  (! [C: $i] :  ( ( (v1_relat_1 @ C)  &  (v1_funct_1 @ C) )  =>  ( ( ( (r1_tarski @  (k10_xtuple_0 @ A) )  @  (k9_xtuple_0 @ C) )  &  ( (= @ B)  @  ( (k3_relat_1 @ A)  @ C) ) )  =>  ( (= @  (k3_finseq_1 @ B) )  @  (k3_finseq_1 @ A) ) ) ) ) ) ) ) ) , file(finseq_2, t29_finseq_2)).
thf(t2_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @ k6_numbers) )  @ k6_numbers) ) ) , file(arithm, t2_arithm)).
thf(t2_msafree3, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( ~ ( (v11_struct_0 @ B) )  &  ( (v1_instalg1 @ B)  &  (l1_msualg_1 @ B) ) )  =>  (! [C: $i] :  ( ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @  (u1_struct_0 @ B) )  &  ( (v1_funct_1 @ C)  &  ( (v1_partfun1 @ C)  @  (u1_struct_0 @ B) ) ) ) )  =>  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (u1_struct_0 @ B) )  =>  ( ( (r2_hidden @  ( (k4_tarski @ A)  @ D) )  @  (u1_struct_0 @  ( (k5_msafree @ B)  @ C) ) )  <=>  ( (r2_hidden @ A)  @  ( (k1_funct_1 @ C)  @ D) ) ) ) ) ) ) ) ) ) , file(msafree3, t2_msafree3)).
thf(t2_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  (v3_xxreal_0 @ B) )  =>  (v3_xxreal_0 @ A) ) ) ) ) ) , file(real, t2_real)).
thf(t2_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ A)  @ B)  =>  ( (v1_xboole_0 @ B)  |  ( (r2_hidden @ A)  @ B) ) ) ) ) , file(subset, t2_subset)).
thf(t31_zfmisc_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (r1_tarski @  (k1_tarski @ A) )  @ B)  <=>  ( (r2_hidden @ A)  @ B) ) ) ) , file(zfmisc_1, t31_zfmisc_1)).
thf(t34_finseq_2, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) )  =>  ( ( (r2_hidden @ A)  @  (k9_xtuple_0 @ B) )  =>  ( (= @  ( (k3_relat_1 @  (k9_finseq_1 @ A) )  @ B) )  @  (k9_finseq_1 @  ( (k1_funct_1 @ B)  @ A) ) ) ) ) ) ) , file(finseq_2, t34_finseq_2)).
thf(t36_finseq_2, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ~ ( (v1_xboole_0 @ C) )  =>  (! [D: $i] :  ( ~ ( (v1_xboole_0 @ D) )  =>  (! [E: $i] :  ( ( (m2_finseq_1 @ E)  @ C)  =>  (! [F: $i] :  ( ( (v1_funct_1 @ F)  &  ( ( ( (v1_funct_2 @ F)  @ C)  @ D)  &  ( (m1_subset_1 @ F)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ C)  @ D) ) ) ) )  =>  ( ( (= @ E)  @  ( (k10_finseq_1 @ A)  @ B) )  =>  ( (= @  ( ( ( ( ( (k1_partfun1 @ k5_numbers)  @ C)  @ C)  @ D)  @ E)  @ F) )  @  ( (k10_finseq_1 @  ( (k1_funct_1 @ F)  @ A) )  @  ( (k1_funct_1 @ F)  @ B) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(finseq_2, t36_finseq_2)).
thf(t38_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) )  =>  ( ( (= @ B)  @  (k9_finseq_1 @ A) )  <=>  ( ( (= @  (k4_finseq_1 @ B) )  @  (k2_finseq_1 @ np__1) )  &  ( (= @  (k10_xtuple_0 @ B) )  @  (k1_tarski @ A) ) ) ) ) ) ) , file(finseq_1, t38_finseq_1)).
thf(t3_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ np__1)  @ A) )  @ A) ) ) , file(arithm, t3_arithm)).
thf(t3_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( ~ ( (v3_xxreal_0 @ A) )  &  (v3_xxreal_0 @ B) ) ) ) ) ) ) ) , file(real, t3_real)).
thf(t3_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ B) )  <=>  ( (r1_tarski @ A)  @ B) ) ) ) , file(subset, t3_subset)).
thf(t40_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_finseq_1 @ B) ) )  =>  ( ( (= @ B)  @  (k9_finseq_1 @ A) )  <=>  ( ( (= @  (k3_finseq_1 @ B) )  @ np__1)  &  ( (= @  ( (k1_funct_1 @ B)  @ np__1) )  @ A) ) ) ) ) ) , file(finseq_1, t40_finseq_1)).
thf(t41_abcmiz_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (v1_instalg1 @ B)  &  ( (v1_abcmiz_1 @ B)  &  ( (v3_abcmiz_1 @ B)  &  (l1_msualg_1 @ B) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ B) )  =>  ( ( ( (m1_abcmiz_1 @ A)  @ B)  @ C)  <=>  ( (r2_hidden @ A)  @  ( (k1_funct_1 @  ( (u3_msualg_1 @ B)  @  ( (k1_msafree3 @ B)  @  (k28_abcmiz_1 @ B) ) ) )  @ C) ) ) ) ) ) ) ) , file(abcmiz_1, t41_abcmiz_1)).
thf(t43_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  (! [B: $i] :  ( ( ( (m1_abcmiz_1 @ B)  @ A)  @  (k13_abcmiz_1 @ A) )  =>  ( ( ( (m1_abcmiz_1 @  ( ( (k30_abcmiz_1 @ A)  @  (k15_abcmiz_1 @ A) )  @ B) )  @ A)  @  (k13_abcmiz_1 @ A) )  &  ( (= @  ( ( (k30_abcmiz_1 @ A)  @  (k15_abcmiz_1 @ A) )  @ B) )  @  ( (k4_trees_4 @  ( (k4_tarski @ k10_abcmiz_1)  @  (u1_struct_0 @ A) ) )  @  ( (k3_pre_poly @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) )  @ B) ) ) ) ) ) ) ) , file(abcmiz_1, t43_abcmiz_1)).
thf(t44_finseq_1, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ( (v1_relat_1 @ C)  &  ( (v1_funct_1 @ C)  &  (v1_finseq_1 @ C) ) )  =>  ( ( (= @ C)  @  ( (k10_finseq_1 @ A)  @ B) )  <=>  ( ( (= @  (k3_finseq_1 @ C) )  @ np__2)  &  ( ( (= @  ( (k1_funct_1 @ C)  @ np__1) )  @ A)  &  ( (= @  ( (k1_funct_1 @ C)  @ np__2) )  @ B) ) ) ) ) ) ) ) , file(finseq_1, t44_finseq_1)).
thf(t46_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  (! [B: $i] :  ( ( ( (m1_abcmiz_1 @ B)  @ A)  @  (k13_abcmiz_1 @ A) )  =>  (! [C: $i] :  ( ( ( (m1_abcmiz_1 @ C)  @ A)  @  (k12_abcmiz_1 @ A) )  =>  ( ( ( (m1_abcmiz_1 @  ( ( ( (k31_abcmiz_1 @ A)  @  (k16_abcmiz_1 @ A) )  @ B)  @ C) )  @ A)  @  (k12_abcmiz_1 @ A) )  &  ( (= @  ( ( ( (k31_abcmiz_1 @ A)  @  (k16_abcmiz_1 @ A) )  @ B)  @ C) )  @  ( (k4_trees_4 @  ( (k4_tarski @ k9_abcmiz_1)  @  (u1_struct_0 @ A) ) )  @  ( ( (k4_pre_poly @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @  (k28_abcmiz_1 @ A) ) ) ) )  @ B)  @ C) ) ) ) ) ) ) ) ) ) , file(abcmiz_1, t46_abcmiz_1)).
thf(t48_abcmiz_1, axiom,  (! [A: $i] :  ( ( (v1_instalg1 @ A)  &  ( (v1_abcmiz_1 @ A)  &  ( (v3_abcmiz_1 @ A)  &  (l1_msualg_1 @ A) ) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  =>  ( ~ ( ( (= @ B)  @ C) )  =>  (! [D: $i] :  ( ( ( (m1_abcmiz_1 @ D)  @ A)  @ B)  =>  (! [E: $i] :  ( ( ( (m1_abcmiz_1 @ E)  @ A)  @ C)  =>  ~ ( ( (= @ D)  @ E) ) ) ) ) ) ) ) ) ) ) ) ) , file(abcmiz_1, t48_abcmiz_1)).
thf(t4_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k6_xcmplx_0 @ A)  @ k6_numbers) )  @ A) ) ) , file(arithm, t4_arithm)).
thf(t4_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v2_xxreal_0 @ A) ) ) ) ) ) ) ) , file(real, t4_real)).
thf(t4_subset, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ( ( (r2_hidden @ A)  @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) ) )  =>  ( (m1_subset_1 @ A)  @ C) ) ) ) ) , file(subset, t4_subset)).
thf(t5_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ k6_numbers)  @ A) )  @ k6_numbers) ) ) , file(arithm, t5_arithm)).
thf(t5_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( (r1_xxreal_0 @ A)  @ B)  =>  ( (v1_xboole_0 @ B)  |  ( (v3_xxreal_0 @ A)  |  (v2_xxreal_0 @ B) ) ) ) ) ) ) ) , file(real, t5_real)).
thf(t5_subset, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ~ ( ( ( (r2_hidden @ A)  @ B)  &  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) )  &  (v1_xboole_0 @ C) ) ) ) ) ) ) , file(subset, t5_subset)).
thf(t65_funct_2, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  (! [D: $i] :  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  =>  (! [E: $i] :  ~ ( ( ( (r2_hidden @ E)  @  ( ( ( (k7_relset_1 @ A)  @ B)  @ D)  @ C) )  &  (! [F: $i] :  ( ( (m1_subset_1 @ F)  @ A)  =>  ~ ( ( ( (r2_hidden @ F)  @ C)  &  ( (= @ E)  @  ( (k1_funct_1 @ D)  @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(funct_2, t65_funct_2)).
thf(t6_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ A)  @ np__1) )  @ A) ) ) , file(arithm, t6_arithm)).
thf(t6_boole, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (= @ A)  @ k1_xboole_0) ) ) , file(boole, t6_boole)).
thf(t6_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( (r1_xxreal_0 @ A)  @ B)  =>  ( (v1_xboole_0 @ A)  |  ( (v2_xxreal_0 @ B)  |  (v3_xxreal_0 @ A) ) ) ) ) ) ) ) , file(real, t6_real)).
thf(t7_boole, axiom,  (! [A: $i] :  (! [B: $i] :  ~ ( ( ( (r2_hidden @ A)  @ B)  &  (v1_xboole_0 @ B) ) ) ) ) , file(boole, t7_boole)).
thf(t7_mcart_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (= @  (k1_xtuple_0 @  ( (k4_tarski @ A)  @ B) ) )  @ A)  &  ( (= @  (k2_xtuple_0 @  ( (k4_tarski @ A)  @ B) ) )  @ B) ) ) ) , file(mcart_1, t7_mcart_1)).
thf(t7_msafree, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( ~ ( (v11_struct_0 @ A) )  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) )  =>  (! [C: $i] :  ( ~ ( ( ( (r2_hidden @ C)  @  (k1_lang1 @  ( (k5_msafree @ A)  @ B) ) )  &  ( (v2_relat_1 @ B)  &  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (u1_struct_0 @ A) )  =>  (! [E: $i] :  ~ ( ( ( (r2_hidden @ E)  @  ( (k1_funct_1 @ B)  @ D) )  &  ( (= @ C)  @  ( (k4_tarski @ E)  @ D) ) ) ) ) ) ) ) ) )  &  (! [D: $i] :  ( ( (m1_subset_1 @ D)  @  (u1_struct_0 @ A) )  =>  (! [E: $i] :  ( ( (r2_hidden @ E)  @  ( (k1_funct_1 @ B)  @ D) )  =>  ( (r2_hidden @  ( (k4_tarski @ E)  @ D) )  @  (k1_lang1 @  ( (k5_msafree @ A)  @ B) ) ) ) ) ) ) ) ) ) ) ) ) , file(msafree, t7_msafree)).
thf(t7_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ B) )  &  ( ~ ( (v2_xxreal_0 @ A) )  &  ~ ( (v3_xxreal_0 @ B) ) ) ) ) ) ) ) ) , file(real, t7_real)).
thf(t8_boole, axiom,  (! [A: $i] :  (! [B: $i] :  ~ ( ( (v1_xboole_0 @ A)  &  ( ~ ( ( (= @ A)  @ B) )  &  (v1_xboole_0 @ B) ) ) ) ) ) , file(boole, t8_boole)).
thf(t8_msafree3, axiom,  (! [A: $i] :  ( ( ~ ( (v11_struct_0 @ A) )  &  ( (v1_instalg1 @ A)  &  (l1_msualg_1 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ~ ( (v3_relat_1 @ B) )  &  ( ( (v4_relat_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v1_funct_1 @ B)  &  ( (v1_partfun1 @ B)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ A)  @  ( (k1_msafree3 @ A)  @ B) ) ) )  =>  ( ( ( (m1_dtconstr @ C)  @  (u1_struct_0 @  ( (k5_msafree @ A)  @  ( ( (k2_pboole @  (u1_struct_0 @ A) )  @ B)  @  ( ( (k8_funcop_1 @  (k1_zfmisc_1 @ k5_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k6_domain_1 @ k5_numbers)  @ k6_numbers) ) ) ) ) )  @  (k5_trees_3 @  (u1_struct_0 @  ( (k5_msafree @ A)  @  ( ( (k2_pboole @  (u1_struct_0 @ A) )  @ B)  @  ( ( (k8_funcop_1 @  (k1_zfmisc_1 @ k5_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k6_domain_1 @ k5_numbers)  @ k6_numbers) ) ) ) ) ) )  @  ( (k1_msaterm @ A)  @  ( ( (k2_pboole @  (u1_struct_0 @ A) )  @ B)  @  ( ( (k8_funcop_1 @  (k1_zfmisc_1 @ k5_numbers) )  @  (u1_struct_0 @ A) )  @  ( (k6_domain_1 @ k5_numbers)  @ k6_numbers) ) ) ) ) ) ) ) ) ) ) , file(msafree3, t8_msafree3)).
thf(t8_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ B) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  ~ ( (v2_xxreal_0 @ A) ) ) ) ) ) ) ) ) , file(real, t8_real)).
thf(s2_abcmiz_1, axiom,  (! [A: $i > $o] :  (! [B: $i] :  (! [C: $i] :  ( ( ( (v1_instalg1 @ C)  &  ( (v1_abcmiz_1 @ C)  &  ( (v3_abcmiz_1 @ C)  &  (l1_msualg_1 @ C) ) ) )  &  ( (m1_subset_1 @ B)  @  (k3_card_3 @  ( (u3_msualg_1 @ C)  @  ( (k1_msafree3 @ C)  @  (k28_abcmiz_1 @ C) ) ) ) ) )  =>  ( ( (! [D: $i] :  ( ( (m1_subset_1 @ D)  @ k2_abcmiz_1)  =>  (A @  ( (k35_abcmiz_1 @ D)  @ C) ) ) )  &  ( (! [D: $i] :  ( ( ( (v2_abcmiz_1 @ D)  @ C)  &  ( (m1_subset_1 @ D)  @  (u4_struct_0 @ C) ) )  =>  (! [E: $i] :  ( ( ( (m1_trees_4 @ E)  @  (k3_card_3 @  ( (u3_msualg_1 @ C)  @  ( (k1_msafree3 @ C)  @  (k28_abcmiz_1 @ C) ) ) ) )  @  (k34_abcmiz_1 @ C) )  =>  ( ( ( (= @  (k3_finseq_1 @ E) )  @  (k3_finseq_1 @  ( (k1_msualg_1 @ C)  @ D) ) )  &  (! [F: $i] :  ( ( ( (m1_abcmiz_1 @ F)  @ C)  @  (k14_abcmiz_1 @ C) )  =>  ( ( (r2_hidden @ F)  @  ( (k2_relset_1 @  (k3_card_3 @  ( (u3_msualg_1 @ C)  @  ( (k1_msafree3 @ C)  @  (k28_abcmiz_1 @ C) ) ) ) )  @ E) )  =>  (A @ F) ) ) ) )  =>  (A @  ( ( (k36_abcmiz_1 @ C)  @ D)  @ E) ) ) ) ) ) )  &  ( (! [D: $i] :  ( ( ( (m1_abcmiz_1 @ D)  @ C)  @  (k13_abcmiz_1 @ C) )  =>  ( (A @ D)  =>  (A @  ( ( (k30_abcmiz_1 @ C)  @  (k32_abcmiz_1 @ C) )  @ D) ) ) ) )  &  (! [D: $i] :  ( ( ( (m1_abcmiz_1 @ D)  @ C)  @  (k13_abcmiz_1 @ C) )  =>  ( (A @ D)  =>  (! [E: $i] :  ( ( ( (m1_abcmiz_1 @ E)  @ C)  @  (k12_abcmiz_1 @ C) )  =>  ( (A @ E)  =>  (A @  ( ( ( (k31_abcmiz_1 @ C)  @  (k33_abcmiz_1 @ C) )  @ D)  @ E) ) ) ) ) ) ) ) ) ) )  =>  (A @ B) ) ) ) ) ) , file(abcmiz_1, s2_abcmiz_1)).
thf(s8_dtconstr, axiom,  (! [A: $i > $i > $i > $i] :  (! [B: $i > $i] :  (! [C: $i] :  (! [D: $i] :  (? [E: $i] :  ( ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @  (k4_dtconstr @ D) )  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  (k4_dtconstr @ D) )  @ C) ) ) ) )  &  ( (! [F: $i] :  ( ( (m1_subset_1 @ F)  @  (u1_struct_0 @ D) )  =>  ( ( (r2_hidden @ F)  @  (k1_lang1 @ D) )  =>  ( (= @  ( (k1_funct_1 @ E)  @  ( (k2_trees_4 @  (u1_struct_0 @ D) )  @ F) ) )  @  (B @ F) ) ) ) )  &  (! [F: $i] :  ( ( (m1_subset_1 @ F)  @  (u1_struct_0 @ D) )  =>  (! [G: $i] :  ( ( ( (m1_trees_4 @ G)  @  (k5_trees_3 @  (u1_struct_0 @ D) ) )  @  (k4_dtconstr @ D) )  =>  ( ( ( (r1_lang1 @ D)  @ F)  @  ( ( (k1_dtconstr @  (u1_struct_0 @ D) )  @  (k5_trees_3 @  (u1_struct_0 @ D) ) )  @ G) )  =>  ( (= @  ( (k1_funct_1 @ E)  @  ( ( (k8_trees_4 @  (u1_struct_0 @ D) )  @ F)  @ G) ) )  @  ( ( (A @ F)  @  ( ( (k1_dtconstr @  (u1_struct_0 @ D) )  @  (k5_trees_3 @  (u1_struct_0 @ D) ) )  @ G) )  @  ( ( ( (k4_finseqop @  (k4_dtconstr @ D) )  @ C)  @ G)  @ E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(dtconstr, s8_dtconstr)).
thf(s3_abcmiz_1, conjecture,  ( ( (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k2_abcmiz_1)  =>  ( ( (m1_abcmiz_1 @  (f2_s3_abcmiz_1 @ A) )  @ f1_s3_abcmiz_1)  @  (k14_abcmiz_1 @ f1_s3_abcmiz_1) ) ) )  &  ( (! [A: $i] :  ( ( ( (v2_abcmiz_1 @ A)  @ f1_s3_abcmiz_1)  &  ( (m1_subset_1 @ A)  @  (u4_struct_0 @ f1_s3_abcmiz_1) ) )  =>  (! [B: $i] :  ( ( ( (m1_trees_4 @ B)  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k34_abcmiz_1 @ f1_s3_abcmiz_1) )  =>  ( ( (= @  (k3_finseq_1 @ B) )  @  (k3_finseq_1 @  ( (k1_msualg_1 @ f1_s3_abcmiz_1)  @ A) ) )  =>  ( ( (m1_abcmiz_1 @  ( (f4_s3_abcmiz_1 @ A)  @ B) )  @ f1_s3_abcmiz_1)  @  ( (k2_msualg_1 @ f1_s3_abcmiz_1)  @ A) ) ) ) ) ) )  &  ( (! [A: $i] :  ( ( ( (m1_abcmiz_1 @ A)  @ f1_s3_abcmiz_1)  @  (k13_abcmiz_1 @ f1_s3_abcmiz_1) )  =>  ( ( (m1_abcmiz_1 @  (f3_s3_abcmiz_1 @ A) )  @ f1_s3_abcmiz_1)  @  (k13_abcmiz_1 @ f1_s3_abcmiz_1) ) ) )  &  (! [A: $i] :  ( ( ( (m1_abcmiz_1 @ A)  @ f1_s3_abcmiz_1)  @  (k13_abcmiz_1 @ f1_s3_abcmiz_1) )  =>  (! [B: $i] :  ( ( ( (m1_abcmiz_1 @ B)  @ f1_s3_abcmiz_1)  @  (k12_abcmiz_1 @ f1_s3_abcmiz_1) )  =>  ( ( (m1_abcmiz_1 @  ( (f5_s3_abcmiz_1 @ A)  @ B) )  @ f1_s3_abcmiz_1)  @  (k12_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) ) ) ) ) )  =>  (? [A: $i] :  ( ( ( (m4_abcmiz_1 @ A)  @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) )  &  ( (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ k2_abcmiz_1)  =>  ( (= @  ( ( ( (k3_funct_2 @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @ A)  @  ( (k35_abcmiz_1 @ B)  @ f1_s3_abcmiz_1) ) )  @  (f2_s3_abcmiz_1 @ B) ) ) )  &  ( (! [B: $i] :  ( ( ( (v2_abcmiz_1 @ B)  @ f1_s3_abcmiz_1)  &  ( (m1_subset_1 @ B)  @  (u4_struct_0 @ f1_s3_abcmiz_1) ) )  =>  (! [C: $i] :  ( ( ( (m1_trees_4 @ C)  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k34_abcmiz_1 @ f1_s3_abcmiz_1) )  =>  (! [D: $i] :  ( ( ( (m1_trees_4 @ D)  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k34_abcmiz_1 @ f1_s3_abcmiz_1) )  =>  ( ( ( (= @  (k3_finseq_1 @ C) )  @  (k3_finseq_1 @  ( (k1_msualg_1 @ f1_s3_abcmiz_1)  @ B) ) )  &  ( (= @ D)  @  ( ( ( (k11_lang1 @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @ C)  @ A) ) )  =>  ( (= @  ( ( ( (k3_funct_2 @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @ A)  @  ( ( (k36_abcmiz_1 @ f1_s3_abcmiz_1)  @ B)  @ C) ) )  @  ( (f4_s3_abcmiz_1 @ B)  @ D) ) ) ) ) ) ) ) )  &  ( (! [B: $i] :  ( ( ( (m1_abcmiz_1 @ B)  @ f1_s3_abcmiz_1)  @  (k13_abcmiz_1 @ f1_s3_abcmiz_1) )  =>  ( (= @  ( ( ( (k3_funct_2 @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @ A)  @  ( ( (k30_abcmiz_1 @ f1_s3_abcmiz_1)  @  (k32_abcmiz_1 @ f1_s3_abcmiz_1) )  @ B) ) )  @  (f3_s3_abcmiz_1 @  ( ( ( (k3_funct_2 @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @ A)  @ B) ) ) ) )  &  (! [B: $i] :  ( ( ( (m1_abcmiz_1 @ B)  @ f1_s3_abcmiz_1)  @  (k13_abcmiz_1 @ f1_s3_abcmiz_1) )  =>  (! [C: $i] :  ( ( ( (m1_abcmiz_1 @ C)  @ f1_s3_abcmiz_1)  @  (k12_abcmiz_1 @ f1_s3_abcmiz_1) )  =>  ( (= @  ( ( ( (k3_funct_2 @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @ A)  @  ( ( ( (k31_abcmiz_1 @ f1_s3_abcmiz_1)  @  (k33_abcmiz_1 @ f1_s3_abcmiz_1) )  @ B)  @ C) ) )  @  ( (f5_s3_abcmiz_1 @  ( ( ( (k3_funct_2 @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @ A)  @ B) )  @  ( ( ( (k3_funct_2 @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @  (k3_card_3 @  ( (u3_msualg_1 @ f1_s3_abcmiz_1)  @  ( (k1_msafree3 @ f1_s3_abcmiz_1)  @  (k28_abcmiz_1 @ f1_s3_abcmiz_1) ) ) ) )  @ A)  @ C) ) ) ) ) ) ) ) ) ) ) ) ) , file(abcmiz_1, s3_abcmiz_1)).
thf(sethood_m1_subset_1, axiom, ( ! [A: $i] :  ( sethood @ ( ^ [X: $i] : (m1_subset_1 @ X @ A) ) ) ) , file(subset_1, m1_subset_1)).
