% Mizar problem: s1_scmfsa_m,scmfsa_m,139,10 
include('Axioms/SET010^0.ax').
thf(n0_type,type,( np__0: $i )).
thf(n1_type,type,( np__1: $i )).
thf(n2_type,type,( np__2: $i )).
thf(n3_type,type,( np__3: $i )).
thf(n4_type,type,( np__4: $i )).
thf(f1_s1_scmfsa_m_type,type,( f1_s1_scmfsa_m: $i > $i )).
thf(f2_s1_scmfsa_m_type,type,( f2_s1_scmfsa_m: $i > $i )).
thf(f3_s1_scmfsa_m_type,type,( f3_s1_scmfsa_m: $i )).
thf(g1_extpro_1_type,type,( g1_extpro_1: $i > $i > $i > $i > $i > $i > $i > $i )).
thf(k10_ami_3_type,type,( k10_ami_3: $i > $i )).
thf(k12_scmfsa_1_type,type,( k12_scmfsa_1: $i )).
thf(k13_finseq_1_type,type,( k13_finseq_1: $i > $i )).
thf(k18_scmfsa_2_type,type,( k18_scmfsa_2: $i > $i > $i )).
thf(k1_ami_2_type,type,( k1_ami_2: $i )).
thf(k1_ami_3_type,type,( k1_ami_3: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k1_funct_2_type,type,( k1_funct_2: $i > $i > $i )).
thf(k1_funct_7_type,type,( k1_funct_7: $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_relset_1_type,type,( k1_relset_1: $i > $i > $i )).
thf(k1_scmfsa_1_type,type,( k1_scmfsa_1: $i )).
thf(k1_scmfsa_2_type,type,( k1_scmfsa_2: $i )).
thf(k1_scmfsa_i_type,type,( k1_scmfsa_i: $i )).
thf(k1_tarski_type,type,( k1_tarski: $i > $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_ami_2_type,type,( k2_ami_2: $i )).
thf(k2_memstr_0_type,type,( k2_memstr_0: $i > $i > $i )).
thf(k2_scm_inst_type,type,( k2_scm_inst: $i )).
thf(k2_scmfsa_2_type,type,( k2_scmfsa_2: $i )).
thf(k2_scmfsa_i_type,type,( k2_scmfsa_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_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_finseq_2_type,type,( k3_finseq_2: $i > $i )).
thf(k3_relat_1_type,type,( k3_relat_1: $i > $i > $i )).
thf(k3_scmfsa_1_type,type,( k3_scmfsa_1: $i )).
thf(k3_scmfsa_2_type,type,( k3_scmfsa_2: $i )).
thf(k3_xcmplx_0_type,type,( k3_xcmplx_0: $i > $i > $i )).
thf(k4_card_3_type,type,( k4_card_3: $i > $i )).
thf(k4_memstr_0_type,type,( k4_memstr_0: $i > $i > $i > $i )).
thf(k4_numbers_type,type,( k4_numbers: $i )).
thf(k4_ordinal1_type,type,( k4_ordinal1: $i )).
thf(k4_scmfsa_1_type,type,( k4_scmfsa_1: $i )).
thf(k4_scmfsa_2_type,type,( k4_scmfsa_2: $i > $i )).
thf(k4_struct_0_type,type,( k4_struct_0: $i > $i )).
thf(k4_subset_1_type,type,( k4_subset_1: $i > $i > $i > $i )).
thf(k4_xcmplx_0_type,type,( k4_xcmplx_0: $i > $i )).
thf(k5_memstr_0_type,type,( k5_memstr_0: $i > $i > $i > $i )).
thf(k5_numbers_type,type,( k5_numbers: $i )).
thf(k5_scmfsa_1_type,type,( k5_scmfsa_1: $i )).
thf(k5_scmfsa_2_type,type,( k5_scmfsa_2: $i > $i )).
thf(k6_domain_1_type,type,( k6_domain_1: $i > $i > $i )).
thf(k6_xcmplx_0_type,type,( k6_xcmplx_0: $i > $i > $i )).
thf(k8_struct_0_type,type,( k8_struct_0: $i > $i )).
thf(k9_xtuple_0_type,type,( k9_xtuple_0: $i > $i )).
thf(u1_compos_1_type,type,( u1_compos_1: $i > $i )).
thf(u1_extpro_1_type,type,( u1_extpro_1: $i > $i > $i )).
thf(u1_memstr_0_type,type,( u1_memstr_0: $i > $i > $i )).
thf(u1_struct_0_type,type,( u1_struct_0: $i > $i )).
thf(u2_memstr_0_type,type,( u2_memstr_0: $i > $i > $i )).
thf(u2_struct_0_type,type,( u2_struct_0: $i > $i )).
thf(l1_compos_1_type,type,( l1_compos_1: $i > $o )).
thf(l1_extpro_1_type,type,( l1_extpro_1: $i > $i > $o )).
thf(l1_memstr_0_type,type,( l1_memstr_0: $i > $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(l2_struct_0_type,type,( l2_struct_0: $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_scmfsa_2_type,type,( m1_scmfsa_2: $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(m2_finseq_1_type,type,( m2_finseq_1: $i > $i > $o )).
thf(m2_subset_1_type,type,( m2_subset_1: $i > $i > $i > $o )).
thf(r1_tarski_type,type,( r1_tarski: $i > $i > $o )).
thf(v13_struct_0_type,type,( v13_struct_0: $i > $i > $o )).
thf(v1_ami_2_type,type,( v1_ami_2: $i > $o )).
thf(v1_amistd_4_type,type,( v1_amistd_4: $i > $o )).
thf(v1_card_1_type,type,( v1_card_1: $i > $o )).
thf(v1_compos_0_type,type,( v1_compos_0: $i > $o )).
thf(v1_extpro_1_type,type,( v1_extpro_1: $i > $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_finsub_1_type,type,( v1_finsub_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_int_1_type,type,( v1_int_1: $i > $o )).
thf(v1_membered_type,type,( v1_membered: $i > $o )).
thf(v1_ordinal1_type,type,( v1_ordinal1: $i > $o )).
thf(v1_partfun1_type,type,( v1_partfun1: $i > $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_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_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_amistd_2_type,type,( v2_amistd_2: $i > $i > $o )).
thf(v2_amistd_5_type,type,( v2_amistd_5: $i > $i > $o )).
thf(v2_card_1_type,type,( v2_card_1: $i > $o )).
thf(v2_compos_0_type,type,( v2_compos_0: $i > $o )).
thf(v2_compos_1_type,type,( v2_compos_1: $i > $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_memstr_0_type,type,( v2_memstr_0: $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_setfam_1_type,type,( v2_setfam_1: $i > $o )).
thf(v2_struct_0_type,type,( v2_struct_0: $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_amistd_1_type,type,( v3_amistd_1: $i > $i > $o )).
thf(v3_amistd_5_type,type,( v3_amistd_5: $i > $i > $o )).
thf(v3_card_1_type,type,( v3_card_1: $i > $i > $o )).
thf(v3_compos_0_type,type,( v3_compos_0: $i > $o )).
thf(v3_extpro_1_type,type,( v3_extpro_1: $i > $i > $o )).
thf(v3_finseq_1_type,type,( v3_finseq_1: $i > $o )).
thf(v3_finsub_1_type,type,( v3_finsub_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_memstr_0_type,type,( v3_memstr_0: $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_xxreal_0_type,type,( v3_xxreal_0: $i > $o )).
thf(v3_xxreal_2_type,type,( v3_xxreal_2: $i > $o )).
thf(v4_amistd_2_type,type,( v4_amistd_2: $i > $i > $o )).
thf(v4_amistd_5_type,type,( v4_amistd_5: $i > $i > $o )).
thf(v4_compos_1_type,type,( v4_compos_1: $i > $i > $o )).
thf(v4_finsub_1_type,type,( v4_finsub_1: $i > $o )).
thf(v4_funct_1_type,type,( v4_funct_1: $i > $o )).
thf(v4_membered_type,type,( v4_membered: $i > $o )).
thf(v4_memstr_0_type,type,( v4_memstr_0: $i > $i > $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $i > $o )).
thf(v4_xxreal_2_type,type,( v4_xxreal_2: $i > $o )).
thf(v5_compos_0_type,type,( v5_compos_0: $i > $o )).
thf(v5_finset_1_type,type,( v5_finset_1: $i > $o )).
thf(v5_funct_1_type,type,( v5_funct_1: $i > $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_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_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_struct_0_type,type,( v8_struct_0: $i > $o )).
thf(v9_struct_0_type,type,( v9_struct_0: $i > $i > $o )).
thf(abstractness_v1_extpro_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_extpro_1 @ B @ A ) => ( ( v1_extpro_1 @ B @ A ) => ( = @ B @ ( g1_extpro_1 @ A @ ( u1_struct_0 @ B ) @ ( u2_struct_0 @ B ) @ ( u1_compos_1 @ B ) @ ( u1_memstr_0 @ A @ B ) @ ( u2_memstr_0 @ A @ B ) @ ( u1_extpro_1 @ A @ B ) ) ) ) ) ),file(extpro_1,v1_extpro_1)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
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_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) => ! [C: $i] : ( ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ B ) ) => ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) ) ) ),file(funct_1,cc10_funct_1)).
thf(cc10_membered,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ k4_numbers ) ) => ( v5_membered @ A ) ) ),file(membered,cc10_membered)).
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_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_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_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_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_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_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_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_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_ami_3,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) ) => ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) & ~ ( v1_setfam_1 @ A ) ) ) ),file(ami_3,cc1_ami_3)).
thf(cc1_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(card_1,cc1_card_1)).
thf(cc1_compos_0,axiom,( ! [A: $i] : ( ( v1_compos_0 @ A ) => ( v1_relat_1 @ A ) ) ),file(compos_0,cc1_compos_0)).
thf(cc1_compos_1,axiom,( ! [A: $i] : ( ( l1_compos_1 @ A ) => ! [B: $i] : ( ( ~ ( v1_xboole_0 @ B ) & ( v1_zfmisc_1 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) ) => ( ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v4_compos_1 @ B @ A ) ) ) ) ),file(compos_1,cc1_compos_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_finsub_1,axiom,( ! [A: $i] : ( ( v4_finsub_1 @ A ) => ( ( v1_finsub_1 @ A ) & ( v3_finsub_1 @ A ) ) ) ),file(finsub_1,cc1_finsub_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_int_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k4_numbers ) => ( v1_int_1 @ A ) ) ),file(int_1,cc1_int_1)).
thf(cc1_membered,axiom,( ! [A: $i] : ( ( v6_membered @ A ) => ( v5_membered @ A ) ) ),file(membered,cc1_membered)).
thf(cc1_memstr_0,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(memstr_0,cc1_memstr_0)).
thf(cc1_nat_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( ( v3_ordinal1 @ A ) & ( v7_ordinal1 @ A ) ) ) ),file(nat_1,cc1_nat_1)).
thf(cc1_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) ) ),file(ordinal1,cc1_ordinal1)).
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_setfam_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ),file(setfam_1,cc1_setfam_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_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_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc2_card_1)).
thf(cc2_compos_0,axiom,( ! [A: $i] : ( ( v5_compos_0 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(compos_0,cc2_compos_0)).
thf(cc2_compos_1,axiom,( ! [A: $i] : ( ( l1_compos_1 @ A ) => ! [B: $i] : ( ( ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) ) => ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v2_compos_1 @ B @ A ) ) ) ) ),file(compos_1,cc2_compos_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_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_finsub_1,axiom,( ! [A: $i] : ( ( ( v1_finsub_1 @ A ) & ( v3_finsub_1 @ A ) ) => ( v4_finsub_1 @ A ) ) ),file(finsub_1,cc2_finsub_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_int_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_int_1 @ A ) ) ),file(int_1,cc2_int_1)).
thf(cc2_membered,axiom,( ! [A: $i] : ( ( v5_membered @ A ) => ( v4_membered @ A ) ) ),file(membered,cc2_membered)).
thf(cc2_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ( l1_memstr_0 @ B @ A ) ) => ! [C: $i] : ( ( ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) ) => ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) & ( v4_memstr_0 @ C @ A @ B ) ) ) ) ),file(memstr_0,cc2_memstr_0)).
thf(cc2_nat_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k5_numbers ) => ~ ( v3_xxreal_0 @ A ) ) ),file(nat_1,cc2_nat_1)).
thf(cc2_ordinal1,axiom,( ! [A: $i] : ( ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc2_ordinal1)).
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_setfam_1,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(setfam_1,cc2_setfam_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_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_compos_1,axiom,( ! [A: $i] : ( ( l1_compos_1 @ A ) => ! [B: $i] : ( ( ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v2_compos_1 @ B @ A ) ) => ( ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v4_compos_1 @ B @ A ) ) ) ) ),file(compos_1,cc3_compos_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_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_int_1,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( v1_xreal_0 @ A ) ) ),file(int_1,cc3_int_1)).
thf(cc3_membered,axiom,( ! [A: $i] : ( ( v4_membered @ A ) => ( v3_membered @ A ) ) ),file(membered,cc3_membered)).
thf(cc3_nat_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( ( v7_ordinal1 @ A ) & ~ ( v3_xxreal_0 @ A ) ) ) ),file(nat_1,cc3_nat_1)).
thf(cc3_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc3_ordinal1)).
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_setfam_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) => ~ ( v2_setfam_1 @ A ) ) ),file(setfam_1,cc3_setfam_1)).
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_card_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k4_ordinal1 ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc4_card_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_membered,axiom,( ! [A: $i] : ( ( v3_membered @ A ) => ( v2_membered @ A ) ) ),file(membered,cc4_membered)).
thf(cc4_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_ordinal1 @ A ) ) ),file(ordinal1,cc4_ordinal1)).
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_setfam_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ~ ( v2_setfam_1 @ A ) ) ),file(setfam_1,cc4_setfam_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_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_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_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_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_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_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_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_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_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(commutativity_k4_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) ) => ( = @ ( k4_subset_1 @ A @ B @ C ) @ ( k4_subset_1 @ A @ C @ B ) ) ) ),file(subset_1,k4_subset_1)).
thf(d11_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( = @ B @ ( k13_finseq_1 @ A ) ) <=> ! [C: $i] : ( ( r2_hidden @ C @ B ) <=> ( m2_finseq_1 @ C @ A ) ) ) ),file(finseq_1,d11_finseq_1)).
thf(d14_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v5_funct_1 @ B @ A ) <=> ! [C: $i] : ( ( r2_hidden @ C @ ( k9_xtuple_0 @ B ) ) => ( r2_hidden @ ( k1_funct_1 @ B @ C ) @ ( k1_funct_1 @ A @ C ) ) ) ) ) ) ),file(funct_1,d14_funct_1)).
thf(d16_ami_2,axiom,( ! [A: $i] : ( ( v1_ami_2 @ A ) <=> ( r2_hidden @ A @ k2_ami_2 ) ) ),file(ami_2,d16_ami_2)).
thf(d18_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ B ) => ( ( v4_relat_1 @ B @ A ) <=> ( r1_tarski @ ( k9_xtuple_0 @ B ) @ A ) ) ) ),file(relat_1,d18_relat_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_scmfsa_2,axiom,( = @ k1_scmfsa_2 @ ( g1_extpro_1 @ np__3 @ k1_scmfsa_1 @ ( k1_funct_7 @ k5_numbers @ k1_scmfsa_1 ) @ k2_scmfsa_i @ k4_scmfsa_1 @ k5_scmfsa_1 @ k12_scmfsa_1 ) ),file(scmfsa_2,d1_scmfsa_2)).
thf(d1_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( ( = @ B @ ( k1_tarski @ A ) ) <=> ! [C: $i] : ( ( r2_hidden @ C @ B ) <=> ( = @ C @ A ) ) ) ),file(tarski,d1_tarski)).
thf(d2_int_1,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) <=> ( r2_hidden @ A @ k4_numbers ) ) ),file(int_1,d2_int_1)).
thf(d2_memstr_0,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ! [B: $i] : ( ( l1_memstr_0 @ B @ A ) => ( = @ ( k2_memstr_0 @ A @ B ) @ ( k3_relat_1 @ ( u1_memstr_0 @ A @ B ) @ ( u2_memstr_0 @ A @ B ) ) ) ) ) ),file(memstr_0,d2_memstr_0)).
thf(d2_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ( ( v1_partfun1 @ B @ A ) <=> ( = @ ( k1_relset_1 @ A @ B ) @ A ) ) ) ),file(partfun1,d2_partfun1)).
thf(d2_xboole_0,axiom,( = @ k1_xboole_0 @ ( eps @ ^ [A: $i] : ( v1_xboole_0 @ A ) ) ),file(xboole_0,d2_xboole_0)).
thf(d3_scmfsa_2,axiom,( = @ k3_scmfsa_2 @ k3_scmfsa_1 ),file(scmfsa_2,d3_scmfsa_2)).
thf(d3_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( = @ C @ ( k2_xboole_0 @ A @ B ) ) <=> ! [D: $i] : ( ( r2_hidden @ D @ C ) <=> ( ( r2_hidden @ D @ A ) | ( r2_hidden @ D @ B ) ) ) ) ),file(xboole_0,d3_xboole_0)).
thf(d5_memstr_0,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( l1_memstr_0 @ B @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) => ( = @ ( k4_memstr_0 @ A @ B @ C ) @ ( k1_funct_1 @ ( k2_memstr_0 @ A @ B ) @ C ) ) ) ) ) ),file(memstr_0,d5_memstr_0)).
thf(d5_scmfsa_2,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) => ( ( m1_scmfsa_2 @ A ) <=> ( r2_hidden @ A @ k3_scmfsa_1 ) ) ) ),file(scmfsa_2,d5_scmfsa_2)).
thf(d6_memstr_0,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( l1_memstr_0 @ B @ A ) ) => ( ( v3_memstr_0 @ B @ A ) <=> ( = @ ( k4_memstr_0 @ A @ B @ ( k4_struct_0 @ B ) ) @ k5_numbers ) ) ) ) ),file(memstr_0,d6_memstr_0)).
thf(d6_scmfsa_2,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( = @ ( k4_scmfsa_2 @ A ) @ ( k10_ami_3 @ A ) ) ) ),file(scmfsa_2,d6_scmfsa_2)).
thf(d7_memstr_0,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( l1_memstr_0 @ B @ A ) ) => ! [C: $i] : ( ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) ) => ( = @ ( k5_memstr_0 @ A @ B @ C ) @ ( k1_funct_1 @ C @ ( k4_struct_0 @ B ) ) ) ) ) ) ),file(memstr_0,d7_memstr_0)).
thf(d7_scmfsa_2,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( = @ ( k5_scmfsa_2 @ A ) @ ( k4_xcmplx_0 @ ( k1_nat_1 @ A @ np__1 ) ) ) ) ),file(scmfsa_2,d7_scmfsa_2)).
thf(dt_f1_s1_scmfsa_m,axiom,( ! [A: $i] : ( v1_int_1 @ ( f1_s1_scmfsa_m @ A ) ) ),file(scmfsa_m,f1_s1_scmfsa_m)).
thf(dt_f2_s1_scmfsa_m,axiom,( ! [A: $i] : ( m2_finseq_1 @ ( f2_s1_scmfsa_m @ A ) @ k4_numbers ) ),file(scmfsa_m,f2_s1_scmfsa_m)).
thf(dt_f3_s1_scmfsa_m,axiom,( m2_subset_1 @ f3_s1_scmfsa_m @ k1_numbers @ k5_numbers ),file(scmfsa_m,f3_s1_scmfsa_m)).
thf(dt_g1_extpro_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ! [G: $i] : ( ( ( m1_subset_1 @ C @ B ) & ( v1_compos_0 @ D ) & ( v2_compos_0 @ D ) & ( v3_compos_0 @ D ) & ( v5_compos_0 @ D ) & ( v1_funct_1 @ E ) & ( v1_funct_2 @ E @ B @ A ) & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( v1_relat_1 @ F ) & ( v4_relat_1 @ F @ A ) & ( v1_funct_1 @ F ) & ( v1_partfun1 @ F @ A ) & ( v1_funct_1 @ G ) & ( v1_funct_2 @ G @ D @ ( k1_funct_2 @ ( k4_card_3 @ ( k3_relat_1 @ E @ F ) ) @ ( k4_card_3 @ ( k3_relat_1 @ E @ F ) ) ) ) & ( m1_subset_1 @ G @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ D @ ( k1_funct_2 @ ( k4_card_3 @ ( k3_relat_1 @ E @ F ) ) @ ( k4_card_3 @ ( k3_relat_1 @ E @ F ) ) ) ) ) ) ) => ( ( v1_extpro_1 @ ( g1_extpro_1 @ A @ B @ C @ D @ E @ F @ G ) @ A ) & ( l1_extpro_1 @ ( g1_extpro_1 @ A @ B @ C @ D @ E @ F @ G ) @ A ) ) ) ),file(extpro_1,g1_extpro_1)).
thf(dt_k10_ami_3,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( ( v1_ami_2 @ ( k10_ami_3 @ A ) ) & ( m1_subset_1 @ ( k10_ami_3 @ A ) @ ( u1_struct_0 @ k1_ami_3 ) ) ) ) ),file(ami_3,k10_ami_3)).
thf(dt_k12_scmfsa_1,axiom,( ( v1_funct_1 @ k12_scmfsa_1 ) & ( v1_funct_2 @ k12_scmfsa_1 @ k2_scmfsa_i @ ( k1_funct_2 @ ( k4_card_3 @ ( k3_relat_1 @ k4_scmfsa_1 @ k5_scmfsa_1 ) ) @ ( k4_card_3 @ ( k3_relat_1 @ k4_scmfsa_1 @ k5_scmfsa_1 ) ) ) ) & ( m1_subset_1 @ k12_scmfsa_1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k2_scmfsa_i @ ( k1_funct_2 @ ( k4_card_3 @ ( k3_relat_1 @ k4_scmfsa_1 @ k5_scmfsa_1 ) ) @ ( k4_card_3 @ ( k3_relat_1 @ k4_scmfsa_1 @ k5_scmfsa_1 ) ) ) ) ) ) ),file(scmfsa_1,k12_scmfsa_1)).
thf(dt_k13_finseq_1,axiom,( $true ),file(finseq_1,k13_finseq_1)).
thf(dt_k18_scmfsa_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) & ( v1_funct_1 @ A ) & ( v5_funct_1 @ A @ ( k2_memstr_0 @ np__3 @ k1_scmfsa_2 ) ) & ( v1_partfun1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) & ( m1_scmfsa_2 @ B ) ) => ( m2_finseq_1 @ ( k18_scmfsa_2 @ A @ B ) @ k4_numbers ) ) ),file(scmfsa_2,k18_scmfsa_2)).
thf(dt_k1_ami_2,axiom,( $true ),file(ami_2,k1_ami_2)).
thf(dt_k1_ami_3,axiom,( ( v1_extpro_1 @ k1_ami_3 @ np__2 ) & ( l1_extpro_1 @ k1_ami_3 @ np__2 ) ),file(ami_3,k1_ami_3)).
thf(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_k1_funct_2,axiom,( $true ),file(funct_2,k1_funct_2)).
thf(dt_k1_funct_7,axiom,( ! [A: $i] : ! [B: $i] : ( m1_subset_1 @ ( k1_funct_7 @ A @ B ) @ B ) ),file(funct_7,k1_funct_7)).
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_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_scmfsa_1,axiom,( $true ),file(scmfsa_1,k1_scmfsa_1)).
thf(dt_k1_scmfsa_2,axiom,( ( v1_extpro_1 @ k1_scmfsa_2 @ np__3 ) & ( l1_extpro_1 @ k1_scmfsa_2 @ np__3 ) ),file(scmfsa_2,k1_scmfsa_2)).
thf(dt_k1_scmfsa_i,axiom,( $true ),file(scmfsa_i,k1_scmfsa_i)).
thf(dt_k1_tarski,axiom,( $true ),file(tarski,k1_tarski)).
thf(dt_k1_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_0)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_ami_2,axiom,( m1_subset_1 @ k2_ami_2 @ ( k1_zfmisc_1 @ k1_ami_2 ) ),file(ami_2,k2_ami_2)).
thf(dt_k2_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ( l1_memstr_0 @ B @ A ) ) => ( ( v1_relat_1 @ ( k2_memstr_0 @ A @ B ) ) & ( v4_relat_1 @ ( k2_memstr_0 @ A @ B ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ ( k2_memstr_0 @ A @ B ) @ ( u1_struct_0 @ B ) ) ) ) ),file(memstr_0,k2_memstr_0)).
thf(dt_k2_scm_inst,axiom,( $true ),file(scm_inst,k2_scm_inst)).
thf(dt_k2_scmfsa_2,axiom,( m1_subset_1 @ k2_scmfsa_2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ k1_scmfsa_2 ) ) ),file(scmfsa_2,k2_scmfsa_2)).
thf(dt_k2_scmfsa_i,axiom,( ~ ( v1_xboole_0 @ k2_scmfsa_i ) ),file(scmfsa_i,k2_scmfsa_i)).
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_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_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_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) ),file(relat_1,k3_relat_1)).
thf(dt_k3_scmfsa_1,axiom,( m1_subset_1 @ k3_scmfsa_1 @ ( k1_zfmisc_1 @ k1_scmfsa_1 ) ),file(scmfsa_1,k3_scmfsa_1)).
thf(dt_k3_scmfsa_2,axiom,( m1_subset_1 @ k3_scmfsa_2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ k1_scmfsa_2 ) ) ),file(scmfsa_2,k3_scmfsa_2)).
thf(dt_k3_xcmplx_0,axiom,( $true ),file(xcmplx_0,k3_xcmplx_0)).
thf(dt_k4_card_3,axiom,( $true ),file(card_3,k4_card_3)).
thf(dt_k4_memstr_0,axiom,( $true ),file(memstr_0,k4_memstr_0)).
thf(dt_k4_numbers,axiom,( $true ),file(numbers,k4_numbers)).
thf(dt_k4_ordinal1,axiom,( $true ),file(ordinal1,k4_ordinal1)).
thf(dt_k4_scmfsa_1,axiom,( ( v1_funct_1 @ k4_scmfsa_1 ) & ( v1_funct_2 @ k4_scmfsa_1 @ k1_scmfsa_1 @ np__3 ) & ( m1_subset_1 @ k4_scmfsa_1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k1_scmfsa_1 @ np__3 ) ) ) ),file(scmfsa_1,k4_scmfsa_1)).
thf(dt_k4_scmfsa_2,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( ( v1_ami_2 @ ( k4_scmfsa_2 @ A ) ) & ( m1_subset_1 @ ( k4_scmfsa_2 @ A ) @ ( u1_struct_0 @ k1_scmfsa_2 ) ) ) ) ),file(scmfsa_2,k4_scmfsa_2)).
thf(dt_k4_struct_0,axiom,( ! [A: $i] : ( ( l2_struct_0 @ A ) => ( m1_subset_1 @ ( k4_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,k4_struct_0)).
thf(dt_k4_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) ) => ( m1_subset_1 @ ( k4_subset_1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ A ) ) ) ),file(subset_1,k4_subset_1)).
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_k5_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( l1_memstr_0 @ B @ A ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) ) => ( m2_subset_1 @ ( k5_memstr_0 @ A @ B @ C ) @ k1_numbers @ k5_numbers ) ) ),file(memstr_0,k5_memstr_0)).
thf(dt_k5_numbers,axiom,( m1_subset_1 @ k5_numbers @ ( k1_zfmisc_1 @ k1_numbers ) ),file(numbers,k5_numbers)).
thf(dt_k5_scmfsa_1,axiom,( ( v1_relat_1 @ k5_scmfsa_1 ) & ( v4_relat_1 @ k5_scmfsa_1 @ np__3 ) & ( v1_funct_1 @ k5_scmfsa_1 ) & ( v1_partfun1 @ k5_scmfsa_1 @ np__3 ) ),file(scmfsa_1,k5_scmfsa_1)).
thf(dt_k5_scmfsa_2,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( m1_scmfsa_2 @ ( k5_scmfsa_2 @ A ) ) ) ),file(scmfsa_2,k5_scmfsa_2)).
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_xcmplx_0,axiom,( $true ),file(xcmplx_0,k6_xcmplx_0)).
thf(dt_k8_struct_0,axiom,( ! [A: $i] : ( ( l2_struct_0 @ A ) => ( m1_subset_1 @ ( k8_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ),file(struct_0,k8_struct_0)).
thf(dt_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_l1_compos_1,axiom,( $true ),file(compos_1,l1_compos_1)).
thf(dt_l1_extpro_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_extpro_1 @ B @ A ) => ( ( l1_memstr_0 @ B @ A ) & ( l1_compos_1 @ B ) ) ) ),file(extpro_1,l1_extpro_1)).
thf(dt_l1_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_memstr_0 @ B @ A ) => ( l2_struct_0 @ B ) ) ),file(memstr_0,l1_memstr_0)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
thf(dt_l2_struct_0,axiom,( ! [A: $i] : ( ( l2_struct_0 @ A ) => ( l1_struct_0 @ A ) ) ),file(struct_0,l2_struct_0)).
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_scmfsa_2,axiom,( ! [A: $i] : ( ( m1_scmfsa_2 @ A ) => ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) ) ),file(scmfsa_2,m1_scmfsa_2)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_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_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_u1_compos_1,axiom,( ! [A: $i] : ( ( l1_compos_1 @ A ) => ( ( v1_compos_0 @ ( u1_compos_1 @ A ) ) & ( v2_compos_0 @ ( u1_compos_1 @ A ) ) & ( v3_compos_0 @ ( u1_compos_1 @ A ) ) & ( v5_compos_0 @ ( u1_compos_1 @ A ) ) ) ) ),file(compos_1,u1_compos_1)).
thf(dt_u1_extpro_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_extpro_1 @ B @ A ) => ( ( v1_funct_1 @ ( u1_extpro_1 @ A @ B ) ) & ( v1_funct_2 @ ( u1_extpro_1 @ A @ B ) @ ( u1_compos_1 @ B ) @ ( k1_funct_2 @ ( k4_card_3 @ ( k3_relat_1 @ ( u1_memstr_0 @ A @ B ) @ ( u2_memstr_0 @ A @ B ) ) ) @ ( k4_card_3 @ ( k3_relat_1 @ ( u1_memstr_0 @ A @ B ) @ ( u2_memstr_0 @ A @ B ) ) ) ) ) & ( m1_subset_1 @ ( u1_extpro_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_compos_1 @ B ) @ ( k1_funct_2 @ ( k4_card_3 @ ( k3_relat_1 @ ( u1_memstr_0 @ A @ B ) @ ( u2_memstr_0 @ A @ B ) ) ) @ ( k4_card_3 @ ( k3_relat_1 @ ( u1_memstr_0 @ A @ B ) @ ( u2_memstr_0 @ A @ B ) ) ) ) ) ) ) ) ) ),file(extpro_1,u1_extpro_1)).
thf(dt_u1_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_memstr_0 @ B @ A ) => ( ( v1_funct_1 @ ( u1_memstr_0 @ A @ B ) ) & ( v1_funct_2 @ ( u1_memstr_0 @ A @ B ) @ ( u1_struct_0 @ B ) @ A ) & ( m1_subset_1 @ ( u1_memstr_0 @ A @ B ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ A ) ) ) ) ) ),file(memstr_0,u1_memstr_0)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_u2_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_memstr_0 @ B @ A ) => ( ( v1_relat_1 @ ( u2_memstr_0 @ A @ B ) ) & ( v4_relat_1 @ ( u2_memstr_0 @ A @ B ) @ A ) & ( v1_funct_1 @ ( u2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ ( u2_memstr_0 @ A @ B ) @ A ) ) ) ),file(memstr_0,u2_memstr_0)).
thf(dt_u2_struct_0,axiom,( ! [A: $i] : ( ( l2_struct_0 @ A ) => ( m1_subset_1 @ ( u2_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,u2_struct_0)).
thf(existence_l1_compos_1,axiom,( ? [A: $i] : ( l1_compos_1 @ A ) ),file(compos_1,l1_compos_1)).
thf(existence_l1_extpro_1,axiom,( ! [A: $i] : ? [B: $i] : ( l1_extpro_1 @ B @ A ) ),file(extpro_1,l1_extpro_1)).
thf(existence_l1_memstr_0,axiom,( ! [A: $i] : ? [B: $i] : ( l1_memstr_0 @ B @ A ) ),file(memstr_0,l1_memstr_0)).
thf(existence_l1_struct_0,axiom,( ? [A: $i] : ( l1_struct_0 @ A ) ),file(struct_0,l1_struct_0)).
thf(existence_l2_struct_0,axiom,( ? [A: $i] : ( l2_struct_0 @ A ) ),file(struct_0,l2_struct_0)).
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_scmfsa_2,axiom,( ? [A: $i] : ( m1_scmfsa_2 @ A ) ),file(scmfsa_2,m1_scmfsa_2)).
thf(existence_m1_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( m1_subset_1 @ B @ A ) ),file(subset_1,m1_subset_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_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(fc108_valued_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) ) => ( v6_membered @ ( k9_xtuple_0 @ A ) ) ) ),file(valued_1,fc108_valued_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_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_scmfsa_4,axiom,( ( v1_extpro_1 @ k1_scmfsa_2 @ np__3 ) & ( v2_amistd_5 @ k1_scmfsa_2 @ np__3 ) ),file(scmfsa_4,fc10_scmfsa_4)).
thf(fc10_struct_0,axiom,( ! [A: $i] : ( ( l2_struct_0 @ A ) => ( v9_struct_0 @ ( k4_struct_0 @ A ) @ A ) ) ),file(struct_0,fc10_struct_0)).
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_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_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_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_finseq_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k13_finseq_1 @ A ) ) ),file(finseq_1,fc12_finseq_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_setfam_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_setfam_1 @ A ) & ( v1_setfam_1 @ B ) ) => ( v1_setfam_1 @ ( k2_xboole_0 @ A @ B ) ) ) ),file(setfam_1,fc12_setfam_1)).
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_card_1,axiom,( ! [A: $i] : ( v3_card_1 @ ( k1_tarski @ A ) @ np__1 ) ),file(card_1,fc13_card_1)).
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_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_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_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_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_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_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_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v7_struct_0 @ A ) & ( l2_struct_0 @ A ) ) => ~ ( v1_xboole_0 @ ( k8_struct_0 @ A ) ) ) ),file(struct_0,fc15_struct_0)).
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_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) & ( l2_struct_0 @ A ) ) => ( v1_xboole_0 @ ( k8_struct_0 @ A ) ) ) ),file(struct_0,fc16_struct_0)).
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_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v1_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(finset_1,fc17_finset_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_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_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_scmfsa_2,axiom,( ( v1_extpro_1 @ k1_scmfsa_2 @ np__3 ) & ( v3_extpro_1 @ k1_scmfsa_2 @ np__3 ) ),file(scmfsa_2,fc18_scmfsa_2)).
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_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_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_ami_3,axiom,( ~ ( v2_struct_0 @ k1_ami_3 ) & ( v1_extpro_1 @ k1_ami_3 @ np__2 ) ),file(ami_3,fc1_ami_3)).
thf(fc1_ami_5,axiom,( ~ ( v1_finset_1 @ ( k8_struct_0 @ k1_ami_3 ) ) ),file(ami_5,fc1_ami_5)).
thf(fc1_finset_1,axiom,( ! [A: $i] : ( v1_finset_1 @ ( k1_tarski @ A ) ) ),file(finset_1,fc1_finset_1)).
thf(fc1_finsub_1,axiom,( ! [A: $i] : ( v4_finsub_1 @ ( k1_zfmisc_1 @ A ) ) ),file(finsub_1,fc1_finsub_1)).
thf(fc1_int_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_int_1 @ A ) & ( v1_int_1 @ B ) ) => ( v1_int_1 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(int_1,fc1_int_1)).
thf(fc1_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ( v7_ordinal1 @ B ) ) => ( v7_ordinal1 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(nat_1,fc1_nat_1)).
thf(fc1_numbers,axiom,( ~ ( v1_xboole_0 @ k1_numbers ) ),file(numbers,fc1_numbers)).
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_scm_inst,axiom,( ~ ( v1_xboole_0 @ k2_scm_inst ) ),file(scm_inst,fc1_scm_inst)).
thf(fc1_scmfsa_2,axiom,( ~ ( v2_struct_0 @ k1_scmfsa_2 ) & ( v2_memstr_0 @ k1_scmfsa_2 @ np__3 ) & ( v1_extpro_1 @ k1_scmfsa_2 @ np__3 ) ),file(scmfsa_2,fc1_scmfsa_2)).
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_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_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_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_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_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_scmfsa10,axiom,( ( v1_extpro_1 @ k1_scmfsa_2 @ np__3 ) & ( v3_amistd_1 @ k1_scmfsa_2 @ np__3 ) ),file(scmfsa10,fc23_scmfsa10)).
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_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_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_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(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_ami_3,axiom,( ( v2_memstr_0 @ k1_ami_3 @ np__2 ) & ( v1_extpro_1 @ k1_ami_3 @ np__2 ) ),file(ami_3,fc2_ami_3)).
thf(fc2_ami_5,axiom,( ( v1_extpro_1 @ k1_ami_3 @ np__2 ) & ( v3_amistd_5 @ k1_ami_3 @ np__2 ) ),file(ami_5,fc2_ami_5)).
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_int_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_int_1 @ A ) & ( v1_int_1 @ B ) ) => ( v1_int_1 @ ( k3_xcmplx_0 @ A @ B ) ) ) ),file(int_1,fc2_int_1)).
thf(fc2_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ( v7_ordinal1 @ B ) ) => ( v7_ordinal1 @ ( k3_xcmplx_0 @ A @ B ) ) ) ),file(nat_1,fc2_nat_1)).
thf(fc2_scmfsa_2,axiom,( ( v1_extpro_1 @ k1_scmfsa_2 @ np__3 ) & ( v1_amistd_4 @ k1_scmfsa_2 ) ),file(scmfsa_2,fc2_scmfsa_2)).
thf(fc2_setfam_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ( v1_setfam_1 @ ( k1_tarski @ A ) ) ) ),file(setfam_1,fc2_setfam_1)).
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_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(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(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(fc3_ami_3,axiom,( ( v3_memstr_0 @ k1_ami_3 @ np__2 ) & ( v1_extpro_1 @ k1_ami_3 @ np__2 ) ),file(ami_3,fc3_ami_3)).
thf(fc3_ami_5,axiom,( ( v1_extpro_1 @ k1_ami_3 @ np__2 ) & ( v4_amistd_5 @ k1_ami_3 @ np__2 ) ),file(ami_5,fc3_ami_5)).
thf(fc3_int_1,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( ( v1_xcmplx_0 @ ( k4_xcmplx_0 @ A ) ) & ( v1_int_1 @ ( k4_xcmplx_0 @ A ) ) ) ) ),file(int_1,fc3_int_1)).
thf(fc3_membered,axiom,( v3_membered @ k1_numbers ),file(membered,fc3_membered)).
thf(fc3_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ( v2_memstr_0 @ B @ A ) & ( l1_memstr_0 @ B @ A ) ) => ( ( v1_relat_1 @ ( k2_memstr_0 @ A @ B ) ) & ( v2_relat_1 @ ( k2_memstr_0 @ A @ B ) ) & ( v4_relat_1 @ ( k2_memstr_0 @ A @ B ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ ( k2_memstr_0 @ A @ B ) @ ( u1_struct_0 @ B ) ) ) ) ),file(memstr_0,fc3_memstr_0)).
thf(fc3_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v7_ordinal1 @ B ) ) => ~ ( v1_xboole_0 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(nat_1,fc3_nat_1)).
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_scmfsa_2,axiom,( ~ ( v1_finset_1 @ k3_scmfsa_2 ) ),file(scmfsa_2,fc3_scmfsa_2)).
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(fc45_scmfsa10,axiom,( ( v1_extpro_1 @ k1_scmfsa_2 @ np__3 ) & ( v2_amistd_2 @ k1_scmfsa_2 @ np__3 ) ),file(scmfsa10,fc45_scmfsa10)).
thf(fc46_scmfsa10,axiom,( ( v1_extpro_1 @ k1_scmfsa_2 @ np__3 ) & ( v4_amistd_2 @ k1_scmfsa_2 @ np__3 ) ),file(scmfsa10,fc46_scmfsa10)).
thf(fc4_ami_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ ( u1_struct_0 @ k1_ami_3 ) ) & ( v1_funct_1 @ A ) & ( v5_funct_1 @ A @ ( k2_memstr_0 @ np__2 @ k1_ami_3 ) ) & ( v1_partfun1 @ A @ ( u1_struct_0 @ k1_ami_3 ) ) & ( v1_ami_2 @ B ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ k1_ami_3 ) ) ) => ( v1_int_1 @ ( k1_funct_1 @ A @ B ) ) ) ),file(ami_3,fc4_ami_3)).
thf(fc4_card_1,axiom,( v1_card_1 @ k4_ordinal1 ),file(card_1,fc4_card_1)).
thf(fc4_int_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_int_1 @ A ) & ( v1_int_1 @ B ) ) => ( v1_int_1 @ ( k6_xcmplx_0 @ A @ B ) ) ) ),file(int_1,fc4_int_1)).
thf(fc4_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v7_ordinal1 @ B ) ) => ~ ( v1_xboole_0 @ ( k2_xcmplx_0 @ B @ A ) ) ) ),file(nat_1,fc4_nat_1)).
thf(fc4_numbers,axiom,( ~ ( v1_xboole_0 @ k4_numbers ) ),file(numbers,fc4_numbers)).
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_scmfsa_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) & ( v1_funct_1 @ A ) & ( v5_funct_1 @ A @ ( k2_memstr_0 @ np__3 @ k1_scmfsa_2 ) ) & ( v1_partfun1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) & ( v1_ami_2 @ B ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ k1_scmfsa_2 ) ) ) => ( v1_int_1 @ ( k1_funct_1 @ A @ B ) ) ) ),file(scmfsa_2,fc4_scmfsa_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(fc56_membered,axiom,( v7_membered @ k1_numbers ),file(membered,fc56_membered)).
thf(fc58_membered,axiom,( v7_membered @ k4_numbers ),file(membered,fc58_membered)).
thf(fc59_membered,axiom,( v7_membered @ k4_ordinal1 ),file(membered,fc59_membered)).
thf(fc5_ami_3,axiom,( ( v1_extpro_1 @ k1_ami_3 @ np__2 ) & ( v3_extpro_1 @ k1_ami_3 @ np__2 ) ),file(ami_3,fc5_ami_3)).
thf(fc5_card_1,axiom,( v2_card_1 @ k4_ordinal1 ),file(card_1,fc5_card_1)).
thf(fc5_membered,axiom,( v5_membered @ k4_numbers ),file(membered,fc5_membered)).
thf(fc5_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( l1_memstr_0 @ B @ A ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) ) => ~ ( v1_xboole_0 @ ( k4_memstr_0 @ A @ B @ C ) ) ) ),file(memstr_0,fc5_memstr_0)).
thf(fc5_scmfsa_2,axiom,( ( v3_memstr_0 @ k1_scmfsa_2 @ np__3 ) & ( v1_extpro_1 @ k1_scmfsa_2 @ np__3 ) ),file(scmfsa_2,fc5_scmfsa_2)).
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(fc6_membered,axiom,( v6_membered @ k4_ordinal1 ),file(membered,fc6_membered)).
thf(fc6_numbers,axiom,( ~ ( v1_finset_1 @ k4_numbers ) ),file(numbers,fc6_numbers)).
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_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_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_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_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_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_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_funct_1 @ A ) & ( v1_funct_2 @ A @ k5_numbers @ k5_numbers ) & ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ k5_numbers ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ k5_numbers @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ B ) ) ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ C ) ) & ( v4_relat_1 @ ( k3_relat_1 @ A @ C ) @ k5_numbers ) & ( v5_relat_1 @ ( k3_relat_1 @ A @ C ) @ B ) & ( v1_funct_1 @ ( k3_relat_1 @ A @ C ) ) ) ) ),file(nat_1,fc8_nat_1)).
thf(fc8_numbers,axiom,( ~ ( v1_finset_1 @ k1_numbers ) ),file(numbers,fc8_numbers)).
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(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_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_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_funct_1 @ A ) & ( v1_funct_2 @ A @ k5_numbers @ k5_numbers ) & ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ k5_numbers ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ k5_numbers @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ B ) ) ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ C ) ) & ( v1_partfun1 @ ( k3_relat_1 @ A @ C ) @ k5_numbers ) ) ) ),file(nat_1,fc9_nat_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_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_extpro_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ! [G: $i] : ( ( ( m1_subset_1 @ C @ B ) & ( v1_compos_0 @ D ) & ( v2_compos_0 @ D ) & ( v3_compos_0 @ D ) & ( v5_compos_0 @ D ) & ( v1_funct_1 @ E ) & ( v1_funct_2 @ E @ B @ A ) & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( v1_relat_1 @ F ) & ( v4_relat_1 @ F @ A ) & ( v1_funct_1 @ F ) & ( v1_partfun1 @ F @ A ) & ( v1_funct_1 @ G ) & ( v1_funct_2 @ G @ D @ ( k1_funct_2 @ ( k4_card_3 @ ( k3_relat_1 @ E @ F ) ) @ ( k4_card_3 @ ( k3_relat_1 @ E @ F ) ) ) ) & ( m1_subset_1 @ G @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ D @ ( k1_funct_2 @ ( k4_card_3 @ ( k3_relat_1 @ E @ F ) ) @ ( k4_card_3 @ ( k3_relat_1 @ E @ F ) ) ) ) ) ) ) => ! [H: $i] : ! [I: $i] : ! [J: $i] : ! [K: $i] : ! [L: $i] : ! [M: $i] : ! [N: $i] : ( ( = @ ( g1_extpro_1 @ A @ B @ C @ D @ E @ F @ G ) @ ( g1_extpro_1 @ H @ I @ J @ K @ L @ M @ N ) ) => ( ( = @ A @ H ) & ( = @ B @ I ) & ( = @ C @ J ) & ( = @ D @ K ) & ( = @ E @ L ) & ( = @ F @ M ) & ( = @ G @ N ) ) ) ) ),file(extpro_1,g1_extpro_1)).
thf(idempotence_k2_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k2_xboole_0 @ A @ A ) @ A ) ),file(xboole_0,k2_xboole_0)).
thf(idempotence_k4_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) ) => ( = @ ( k4_subset_1 @ A @ B @ B ) @ B ) ) ),file(subset_1,k4_subset_1)).
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(rc10_extpro_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_setfam_1 @ A ) ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v3_memstr_0 @ B @ A ) ) ) ),file(extpro_1,rc10_extpro_1)).
thf(rc17_struct_0,axiom,( ! [A: $i] : ( ( l2_struct_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( v9_struct_0 @ B @ A ) ) ) ),file(struct_0,rc17_struct_0)).
thf(rc19_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v7_struct_0 @ A ) & ( l2_struct_0 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ~ ( v9_struct_0 @ B @ A ) ) ) ),file(struct_0,rc19_struct_0)).
thf(rc1_ami_3,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_ami_3 ) ) & ( v1_ami_2 @ A ) ) ),file(ami_3,rc1_ami_3)).
thf(rc1_card_1,axiom,( ? [A: $i] : ( v1_card_1 @ A ) ),file(card_1,rc1_card_1)).
thf(rc1_compos_0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_compos_0 @ A ) ) ),file(compos_0,rc1_compos_0)).
thf(rc1_extpro_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ( v1_extpro_1 @ B @ A ) ) ),file(extpro_1,rc1_extpro_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_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_int_1,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ k1_numbers ) & ( v1_xxreal_0 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xreal_0 @ A ) & ( v1_int_1 @ A ) ) ),file(int_1,rc1_int_1)).
thf(rc1_membered,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v6_membered @ A ) ) ),file(membered,rc1_membered)).
thf(rc1_nat_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) & ( v7_ordinal1 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_card_1 @ A ) ) ),file(nat_1,rc1_nat_1)).
thf(rc1_ordinal1,axiom,( ? [A: $i] : ( v3_ordinal1 @ A ) ),file(ordinal1,rc1_ordinal1)).
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_scmfsa_2,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) & ( v1_ami_2 @ A ) ) ),file(scmfsa_2,rc1_scmfsa_2)).
thf(rc1_setfam_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) ),file(setfam_1,rc1_setfam_1)).
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_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(rc20_struct_0,axiom,( ? [A: $i] : ( ( l2_struct_0 @ A ) & ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) ) ),file(struct_0,rc20_struct_0)).
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(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_compos_0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_compos_0 @ A ) & ( v2_compos_0 @ A ) & ( v3_compos_0 @ A ) ) ),file(compos_0,rc2_compos_0)).
thf(rc2_extpro_1,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ~ ( v2_struct_0 @ B ) ) ) ),file(extpro_1,rc2_extpro_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_int_1,axiom,( ? [A: $i] : ( v1_int_1 @ A ) ),file(int_1,rc2_int_1)).
thf(rc2_membered,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v6_membered @ A ) ) ),file(membered,rc2_membered)).
thf(rc2_memstr_0,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_memstr_0 @ B @ A ) & ( v13_struct_0 @ B @ np__1 ) ) ) ),file(memstr_0,rc2_memstr_0)).
thf(rc2_nat_1,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ k1_numbers ) ) & ~ ( v1_xboole_0 @ A ) & ( v3_ordinal1 @ A ) ) ),file(nat_1,rc2_nat_1)).
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_relat_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ),file(relat_1,rc2_relat_1)).
thf(rc2_setfam_1,axiom,( ? [A: $i] : ~ ( v2_setfam_1 @ A ) ),file(setfam_1,rc2_setfam_1)).
thf(rc2_valued_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) ) ),file(valued_1,rc2_valued_1)).
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_card_1,axiom,( ? [A: $i] : ~ ( v1_finset_1 @ A ) ),file(card_1,rc3_card_1)).
thf(rc3_compos_0,axiom,( ? [A: $i] : ( ( v1_compos_0 @ A ) & ( v5_compos_0 @ A ) ) ),file(compos_0,rc3_compos_0)).
thf(rc3_extpro_1,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ( v13_struct_0 @ B @ np__1 ) & ( v2_memstr_0 @ B @ A ) ) ) ),file(extpro_1,rc3_extpro_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_memstr_0,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_memstr_0 @ B @ A ) & ( v2_memstr_0 @ B @ A ) ) ) ),file(memstr_0,rc3_memstr_0)).
thf(rc3_nat_1,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ k5_numbers ) & ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) & ( v7_ordinal1 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_card_1 @ A ) ) ),file(nat_1,rc3_nat_1)).
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_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_setfam_1,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ A ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(setfam_1,rc3_setfam_1)).
thf(rc3_valued_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 ) ) ),file(valued_1,rc3_valued_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_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_compos_0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_compos_0 @ A ) & ( v2_compos_0 @ A ) & ( v3_compos_0 @ A ) & ( v5_compos_0 @ A ) ) ),file(compos_0,rc4_compos_0)).
thf(rc4_extpro_1,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_extpro_1 @ B @ A ) ) ) ),file(extpro_1,rc4_extpro_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_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ B ) & ( v1_finset_1 @ C ) ) ) ),file(finset_1,rc4_finset_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_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_valued_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v3_card_1 @ A @ np__1 ) ) ),file(valued_1,rc4_valued_1)).
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_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ( l1_memstr_0 @ B @ A ) ) => ? [C: $i] : ( ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) ) ) ),file(memstr_0,rc5_memstr_0)).
thf(rc5_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) ) ),file(ordinal1,rc5_ordinal1)).
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_compos_0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_compos_0 @ A ) & ( v2_compos_0 @ A ) & ( v3_compos_0 @ A ) & ( v5_compos_0 @ A ) ) ),file(compos_0,rc6_compos_0)).
thf(rc6_extpro_1,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v7_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( v1_extpro_1 @ B @ A ) ) ) ),file(extpro_1,rc6_extpro_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_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_extpro_1,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v7_struct_0 @ B ) & ( v8_struct_0 @ B ) & ( v13_struct_0 @ B @ np__1 ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( v1_extpro_1 @ B @ A ) & ( v3_extpro_1 @ B @ A ) ) ) ),file(extpro_1,rc7_extpro_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_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( l1_memstr_0 @ B @ A ) ) => ? [C: $i] : ( ~ ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) ) ) ),file(memstr_0,rc7_memstr_0)).
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_extpro_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_setfam_1 @ A ) ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( v1_extpro_1 @ B @ A ) & ( v3_extpro_1 @ B @ A ) ) ) ),file(extpro_1,rc8_extpro_1)).
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_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ? [C: $i] : ( ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ B ) ) ) ),file(funct_1,rc8_funct_1)).
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(redefinition_k18_scmfsa_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) & ( v1_funct_1 @ A ) & ( v5_funct_1 @ A @ ( k2_memstr_0 @ np__3 @ k1_scmfsa_2 ) ) & ( v1_partfun1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) & ( m1_scmfsa_2 @ B ) ) => ( = @ ( k18_scmfsa_2 @ A @ B ) @ ( k1_funct_1 @ A @ B ) ) ) ),file(scmfsa_2,k18_scmfsa_2)).
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_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_ami_2,axiom,( = @ k2_ami_2 @ k2_scm_inst ),file(ami_2,k2_ami_2)).
thf(redefinition_k2_scmfsa_2,axiom,( = @ k2_scmfsa_2 @ k2_scm_inst ),file(scmfsa_2,k2_scmfsa_2)).
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_scmfsa_1,axiom,( = @ k3_scmfsa_1 @ k1_scmfsa_i ),file(scmfsa_1,k3_scmfsa_1)).
thf(redefinition_k4_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) ) => ( = @ ( k4_subset_1 @ A @ B @ C ) @ ( k2_xboole_0 @ B @ C ) ) ) ),file(subset_1,k4_subset_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_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_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(reflexivity_r1_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( r1_tarski @ A @ A ) ),file(tarski,r1_tarski)).
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_r3_r3,axiom,( = @ ( k2_xcmplx_0 @ np__0 @ np__3 ) @ np__3 ),file(arithm,rqRealAdd__k2_xcmplx_0__r0_r3_r3)).
thf(rqRealAdd__k2_xcmplx_0__r0_r4_r4,axiom,( = @ ( k2_xcmplx_0 @ np__0 @ np__4 ) @ np__4 ),file(arithm,rqRealAdd__k2_xcmplx_0__r0_r4_r4)).
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_rm3_rm3,axiom,( = @ ( k2_xcmplx_0 @ np__0 @ ( k4_xcmplx_0 @ np__3 ) ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm3_rm3)).
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_r2_r3,axiom,( = @ ( k2_xcmplx_0 @ np__1 @ np__2 ) @ np__3 ),file(arithm,rqRealAdd__k2_xcmplx_0__r1_r2_r3)).
thf(rqRealAdd__k2_xcmplx_0__r1_r3_r4,axiom,( = @ ( k2_xcmplx_0 @ np__1 @ np__3 ) @ np__4 ),file(arithm,rqRealAdd__k2_xcmplx_0__r1_r3_r4)).
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_rm3_rm2,axiom,( = @ ( k2_xcmplx_0 @ np__1 @ ( k4_xcmplx_0 @ np__3 ) ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm3_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm4_rm3,axiom,( = @ ( k2_xcmplx_0 @ np__1 @ ( k4_xcmplx_0 @ np__4 ) ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm4_rm3)).
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_r1_r3,axiom,( = @ ( k2_xcmplx_0 @ np__2 @ np__1 ) @ np__3 ),file(arithm,rqRealAdd__k2_xcmplx_0__r2_r1_r3)).
thf(rqRealAdd__k2_xcmplx_0__r2_r2_r4,axiom,( = @ ( k2_xcmplx_0 @ np__2 @ np__2 ) @ np__4 ),file(arithm,rqRealAdd__k2_xcmplx_0__r2_r2_r4)).
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__r2_rm3_rm1,axiom,( = @ ( k2_xcmplx_0 @ np__2 @ ( k4_xcmplx_0 @ np__3 ) ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm4_rm2,axiom,( = @ ( k2_xcmplx_0 @ np__2 @ ( k4_xcmplx_0 @ np__4 ) ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm4_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r3_r0_r3,axiom,( = @ ( k2_xcmplx_0 @ np__3 @ np__0 ) @ np__3 ),file(arithm,rqRealAdd__k2_xcmplx_0__r3_r0_r3)).
thf(rqRealAdd__k2_xcmplx_0__r3_r1_r4,axiom,( = @ ( k2_xcmplx_0 @ np__3 @ np__1 ) @ np__4 ),file(arithm,rqRealAdd__k2_xcmplx_0__r3_r1_r4)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm1_r2,axiom,( = @ ( k2_xcmplx_0 @ np__3 @ ( k4_xcmplx_0 @ np__1 ) ) @ np__2 ),file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm1_r2)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm2_r1,axiom,( = @ ( k2_xcmplx_0 @ np__3 @ ( k4_xcmplx_0 @ np__2 ) ) @ np__1 ),file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm2_r1)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm3_r0,axiom,( = @ ( k2_xcmplx_0 @ np__3 @ ( k4_xcmplx_0 @ np__3 ) ) @ np__0 ),file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm3_r0)).
thf(rqRealAdd__k2_xcmplx_0__r3_rm4_rm1,axiom,( = @ ( k2_xcmplx_0 @ np__3 @ ( k4_xcmplx_0 @ np__4 ) ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm4_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r4_r0_r4,axiom,( = @ ( k2_xcmplx_0 @ np__4 @ np__0 ) @ np__4 ),file(arithm,rqRealAdd__k2_xcmplx_0__r4_r0_r4)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm1_r3,axiom,( = @ ( k2_xcmplx_0 @ np__4 @ ( k4_xcmplx_0 @ np__1 ) ) @ np__3 ),file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm1_r3)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm2_r2,axiom,( = @ ( k2_xcmplx_0 @ np__4 @ ( k4_xcmplx_0 @ np__2 ) ) @ np__2 ),file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm2_r2)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm3_r1,axiom,( = @ ( k2_xcmplx_0 @ np__4 @ ( k4_xcmplx_0 @ np__3 ) ) @ np__1 ),file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm3_r1)).
thf(rqRealAdd__k2_xcmplx_0__r4_rm4_r0,axiom,( = @ ( k2_xcmplx_0 @ np__4 @ ( k4_xcmplx_0 @ np__4 ) ) @ np__0 ),file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm4_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_r3_r2,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__1 ) @ np__3 ) @ np__2 ),file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r3_r2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r4_r3,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__1 ) @ np__4 ) @ np__3 ),file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r4_r3)).
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_rm2_rm3,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__1 ) @ ( k4_xcmplx_0 @ np__2 ) ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__1 ) @ ( k4_xcmplx_0 @ np__3 ) ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4)).
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__rm2_r3_r1,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__2 ) @ np__3 ) @ np__1 ),file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r3_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r4_r2,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__2 ) @ np__4 ) @ np__2 ),file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r4_r2)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__2 ) @ ( k4_xcmplx_0 @ np__1 ) ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__2 ) @ ( k4_xcmplx_0 @ np__2 ) ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__1 ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r1_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__2 ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r3_r0,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__3 ) @ np__0 ),file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r3_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm3_r4_r1,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__4 ) @ np__1 ),file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r4_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ ( k4_xcmplx_0 @ np__1 ) ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r1_rm3,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) @ np__1 ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r1_rm3)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r2_rm2,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) @ np__2 ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r2_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r3_rm1,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) @ np__3 ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r3_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm4_r4_r0,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) @ np__4 ) @ np__0 ),file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r4_r0)).
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_r3_rm3,axiom,( = @ ( k6_xcmplx_0 @ np__0 @ np__3 ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__r0_r3_rm3)).
thf(rqRealDiff__k6_xcmplx_0__r0_r4_rm4,axiom,( = @ ( k6_xcmplx_0 @ np__0 @ np__4 ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__r0_r4_rm4)).
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_rm3_r3,axiom,( = @ ( k6_xcmplx_0 @ np__0 @ ( k4_xcmplx_0 @ np__3 ) ) @ np__3 ),file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm3_r3)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm4_r4,axiom,( = @ ( k6_xcmplx_0 @ np__0 @ ( k4_xcmplx_0 @ np__4 ) ) @ np__4 ),file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm4_r4)).
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_r3_rm2,axiom,( = @ ( k6_xcmplx_0 @ np__1 @ np__3 ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__r1_r3_rm2)).
thf(rqRealDiff__k6_xcmplx_0__r1_r4_rm3,axiom,( = @ ( k6_xcmplx_0 @ np__1 @ np__4 ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__r1_r4_rm3)).
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_rm2_r3,axiom,( = @ ( k6_xcmplx_0 @ np__1 @ ( k4_xcmplx_0 @ np__2 ) ) @ np__3 ),file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm2_r3)).
thf(rqRealDiff__k6_xcmplx_0__r1_rm3_r4,axiom,( = @ ( k6_xcmplx_0 @ np__1 @ ( k4_xcmplx_0 @ np__3 ) ) @ np__4 ),file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm3_r4)).
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__r2_r3_rm1,axiom,( = @ ( k6_xcmplx_0 @ np__2 @ np__3 ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__r2_r3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r2_r4_rm2,axiom,( = @ ( k6_xcmplx_0 @ np__2 @ np__4 ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__r2_r4_rm2)).
thf(rqRealDiff__k6_xcmplx_0__r2_rm1_r3,axiom,( = @ ( k6_xcmplx_0 @ np__2 @ ( k4_xcmplx_0 @ np__1 ) ) @ np__3 ),file(arithm,rqRealDiff__k6_xcmplx_0__r2_rm1_r3)).
thf(rqRealDiff__k6_xcmplx_0__r2_rm2_r4,axiom,( = @ ( k6_xcmplx_0 @ np__2 @ ( k4_xcmplx_0 @ np__2 ) ) @ np__4 ),file(arithm,rqRealDiff__k6_xcmplx_0__r2_rm2_r4)).
thf(rqRealDiff__k6_xcmplx_0__r3_r0_r3,axiom,( = @ ( k6_xcmplx_0 @ np__3 @ np__0 ) @ np__3 ),file(arithm,rqRealDiff__k6_xcmplx_0__r3_r0_r3)).
thf(rqRealDiff__k6_xcmplx_0__r3_r1_r2,axiom,( = @ ( k6_xcmplx_0 @ np__3 @ np__1 ) @ np__2 ),file(arithm,rqRealDiff__k6_xcmplx_0__r3_r1_r2)).
thf(rqRealDiff__k6_xcmplx_0__r3_r2_r1,axiom,( = @ ( k6_xcmplx_0 @ np__3 @ np__2 ) @ np__1 ),file(arithm,rqRealDiff__k6_xcmplx_0__r3_r2_r1)).
thf(rqRealDiff__k6_xcmplx_0__r3_r3_r0,axiom,( = @ ( k6_xcmplx_0 @ np__3 @ np__3 ) @ np__0 ),file(arithm,rqRealDiff__k6_xcmplx_0__r3_r3_r0)).
thf(rqRealDiff__k6_xcmplx_0__r3_r4_rm1,axiom,( = @ ( k6_xcmplx_0 @ np__3 @ np__4 ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__r3_r4_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r3_rm1_r4,axiom,( = @ ( k6_xcmplx_0 @ np__3 @ ( k4_xcmplx_0 @ np__1 ) ) @ np__4 ),file(arithm,rqRealDiff__k6_xcmplx_0__r3_rm1_r4)).
thf(rqRealDiff__k6_xcmplx_0__r4_r0_r4,axiom,( = @ ( k6_xcmplx_0 @ np__4 @ np__0 ) @ np__4 ),file(arithm,rqRealDiff__k6_xcmplx_0__r4_r0_r4)).
thf(rqRealDiff__k6_xcmplx_0__r4_r1_r3,axiom,( = @ ( k6_xcmplx_0 @ np__4 @ np__1 ) @ np__3 ),file(arithm,rqRealDiff__k6_xcmplx_0__r4_r1_r3)).
thf(rqRealDiff__k6_xcmplx_0__r4_r2_r2,axiom,( = @ ( k6_xcmplx_0 @ np__4 @ np__2 ) @ np__2 ),file(arithm,rqRealDiff__k6_xcmplx_0__r4_r2_r2)).
thf(rqRealDiff__k6_xcmplx_0__r4_r3_r1,axiom,( = @ ( k6_xcmplx_0 @ np__4 @ np__3 ) @ np__1 ),file(arithm,rqRealDiff__k6_xcmplx_0__r4_r3_r1)).
thf(rqRealDiff__k6_xcmplx_0__r4_r4_r0,axiom,( = @ ( k6_xcmplx_0 @ np__4 @ np__4 ) @ np__0 ),file(arithm,rqRealDiff__k6_xcmplx_0__r4_r4_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_r2_rm3,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__1 ) @ np__2 ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r3_rm4,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__1 ) @ np__3 ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r3_rm4)).
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_rm3_r2,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__1 ) @ ( k4_xcmplx_0 @ np__3 ) ) @ np__2 ),file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm4_r3,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__1 ) @ ( k4_xcmplx_0 @ np__4 ) ) @ np__3 ),file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm4_r3)).
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_r1_rm3,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__2 ) @ np__1 ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm2_r2_rm4,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__2 ) @ np__2 ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r2_rm4)).
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__rm2_rm3_r1,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__2 ) @ ( k4_xcmplx_0 @ np__3 ) ) @ np__1 ),file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm4_r2,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__2 ) @ ( k4_xcmplx_0 @ np__4 ) ) @ np__2 ),file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm4_r2)).
thf(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__0 ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm3_r1_rm4,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__1 ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm3_r1_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ ( k4_xcmplx_0 @ np__1 ) ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ ( k4_xcmplx_0 @ np__2 ) ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ ( k4_xcmplx_0 @ np__3 ) ) @ np__0 ),file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm3_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm3_rm4_r1,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ ( k4_xcmplx_0 @ np__4 ) ) @ np__1 ),file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm4_r1)).
thf(rqRealDiff__k6_xcmplx_0__rm4_r0_rm4,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) @ np__0 ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm4_r0_rm4)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) @ ( k4_xcmplx_0 @ np__1 ) ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) @ ( k4_xcmplx_0 @ np__2 ) ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) @ ( k4_xcmplx_0 @ np__3 ) ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm4_rm4_r0,axiom,( = @ ( k6_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) @ ( k4_xcmplx_0 @ np__4 ) ) @ np__0 ),file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm4_r0)).
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_r3_r0,axiom,( = @ ( k3_xcmplx_0 @ np__0 @ np__3 ) @ np__0 ),file(arithm,rqRealMult__k3_xcmplx_0__r0_r3_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r4_r0,axiom,( = @ ( k3_xcmplx_0 @ np__0 @ np__4 ) @ np__0 ),file(arithm,rqRealMult__k3_xcmplx_0__r0_r4_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_rm3_r0,axiom,( = @ ( k3_xcmplx_0 @ np__0 @ ( k4_xcmplx_0 @ np__3 ) ) @ np__0 ),file(arithm,rqRealMult__k3_xcmplx_0__r0_rm3_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_r3_r3,axiom,( = @ ( k3_xcmplx_0 @ np__1 @ np__3 ) @ np__3 ),file(arithm,rqRealMult__k3_xcmplx_0__r1_r3_r3)).
thf(rqRealMult__k3_xcmplx_0__r1_r4_r4,axiom,( = @ ( k3_xcmplx_0 @ np__1 @ np__4 ) @ np__4 ),file(arithm,rqRealMult__k3_xcmplx_0__r1_r4_r4)).
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_rm3_rm3,axiom,( = @ ( k3_xcmplx_0 @ np__1 @ ( k4_xcmplx_0 @ np__3 ) ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealMult__k3_xcmplx_0__r1_rm3_rm3)).
thf(rqRealMult__k3_xcmplx_0__r1_rm4_rm4,axiom,( = @ ( k3_xcmplx_0 @ np__1 @ ( k4_xcmplx_0 @ np__4 ) ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealMult__k3_xcmplx_0__r1_rm4_rm4)).
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_r2_r4,axiom,( = @ ( k3_xcmplx_0 @ np__2 @ np__2 ) @ np__4 ),file(arithm,rqRealMult__k3_xcmplx_0__r2_r2_r4)).
thf(rqRealMult__k3_xcmplx_0__r2_rm2_rm4,axiom,( = @ ( k3_xcmplx_0 @ np__2 @ ( k4_xcmplx_0 @ np__2 ) ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealMult__k3_xcmplx_0__r2_rm2_rm4)).
thf(rqRealMult__k3_xcmplx_0__r3_r0_r0,axiom,( = @ ( k3_xcmplx_0 @ np__3 @ np__0 ) @ np__0 ),file(arithm,rqRealMult__k3_xcmplx_0__r3_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r3_r1_r3,axiom,( = @ ( k3_xcmplx_0 @ np__3 @ np__1 ) @ np__3 ),file(arithm,rqRealMult__k3_xcmplx_0__r3_r1_r3)).
thf(rqRealMult__k3_xcmplx_0__r4_r0_r0,axiom,( = @ ( k3_xcmplx_0 @ np__4 @ np__0 ) @ np__0 ),file(arithm,rqRealMult__k3_xcmplx_0__r4_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r4_r1_r4,axiom,( = @ ( k3_xcmplx_0 @ np__4 @ np__1 ) @ np__4 ),file(arithm,rqRealMult__k3_xcmplx_0__r4_r1_r4)).
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_r2_rm4,axiom,( = @ ( k3_xcmplx_0 @ ( k4_xcmplx_0 @ np__2 ) @ np__2 ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealMult__k3_xcmplx_0__rm2_r2_rm4)).
thf(rqRealMult__k3_xcmplx_0__rm2_rm2_r4,axiom,( = @ ( k3_xcmplx_0 @ ( k4_xcmplx_0 @ np__2 ) @ ( k4_xcmplx_0 @ np__2 ) ) @ np__4 ),file(arithm,rqRealMult__k3_xcmplx_0__rm2_rm2_r4)).
thf(rqRealMult__k3_xcmplx_0__rm3_r0_r0,axiom,( = @ ( k3_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__0 ) @ np__0 ),file(arithm,rqRealMult__k3_xcmplx_0__rm3_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rm3_r1_rm3,axiom,( = @ ( k3_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__1 ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealMult__k3_xcmplx_0__rm3_r1_rm3)).
thf(rqRealMult__k3_xcmplx_0__rm4_r1_rm4,axiom,( = @ ( k3_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) @ np__1 ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealMult__k3_xcmplx_0__rm4_r1_rm4)).
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__r3_rm3,axiom,( = @ ( k4_xcmplx_0 @ np__3 ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqRealNeg__k4_xcmplx_0__r3_rm3)).
thf(rqRealNeg__k4_xcmplx_0__r4_rm4,axiom,( = @ ( k4_xcmplx_0 @ np__4 ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqRealNeg__k4_xcmplx_0__r4_rm4)).
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__rm3_r3,axiom,( = @ ( k4_xcmplx_0 @ ( k4_xcmplx_0 @ np__3 ) ) @ np__3 ),file(arithm,rqRealNeg__k4_xcmplx_0__rm3_r3)).
thf(rqRealNeg__k4_xcmplx_0__rm4_r4,axiom,( = @ ( k4_xcmplx_0 @ ( k4_xcmplx_0 @ np__4 ) ) @ np__4 ),file(arithm,rqRealNeg__k4_xcmplx_0__rm4_r4)).
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(spc3_boole,axiom,( ~ ( v1_xboole_0 @ np__3 ) ),file(boole,spc3_boole)).
thf(spc3_numerals,axiom,( ( v2_xxreal_0 @ np__3 ) & ( m2_subset_1 @ np__3 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__3 @ k5_numbers ) & ( m1_subset_1 @ np__3 @ k1_numbers ) ),file(numerals,spc3_numerals)).
thf(spc4_boole,axiom,( ~ ( v1_xboole_0 @ np__4 ) ),file(boole,spc4_boole)).
thf(spc4_numerals,axiom,( ( v2_xxreal_0 @ np__4 ) & ( m2_subset_1 @ np__4 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__4 @ k5_numbers ) & ( m1_subset_1 @ np__4 @ k1_numbers ) ),file(numerals,spc4_numerals)).
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(t100_scmfsa_2,axiom,( = @ ( k8_struct_0 @ k1_scmfsa_2 ) @ ( k4_subset_1 @ ( u1_struct_0 @ k1_scmfsa_2 ) @ k2_scmfsa_2 @ k3_scmfsa_2 ) ),file(scmfsa_2,t100_scmfsa_2)).
thf(t10_ami_3,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ! [B: $i] : ( ( v7_ordinal1 @ B ) => ~ ( ~ ( = @ A @ B ) & ( = @ ( k10_ami_3 @ A ) @ ( k10_ami_3 @ B ) ) ) ) ) ),file(ami_3,t10_ami_3)).
thf(t11_scmfsa_2,axiom,( ! [A: $i] : ( ( ( v1_ami_2 @ A ) & ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) ) => ( = @ ( k4_memstr_0 @ np__3 @ k1_scmfsa_2 @ A ) @ k4_numbers ) ) ),file(scmfsa_2,t11_scmfsa_2)).
thf(t12_scmfsa_2,axiom,( ! [A: $i] : ( ( m1_scmfsa_2 @ A ) => ( = @ ( k4_memstr_0 @ np__3 @ k1_scmfsa_2 @ A ) @ ( k3_finseq_2 @ k4_numbers ) ) ) ),file(scmfsa_2,t12_scmfsa_2)).
thf(t1_boole,axiom,( ! [A: $i] : ( = @ ( k2_xboole_0 @ A @ k1_xboole_0 ) @ A ) ),file(boole,t1_boole)).
thf(t1_numerals,axiom,( m1_subset_1 @ k1_xboole_0 @ k4_ordinal1 ),file(numerals,t1_numerals)).
thf(t1_subset,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ( m1_subset_1 @ A @ B ) ) ),file(subset,t1_subset)).
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(t3_arithm,axiom,( ! [A: $i] : ( ( v1_xcmplx_0 @ A ) => ( = @ ( k3_xcmplx_0 @ np__1 @ A ) @ A ) ) ),file(arithm,t3_arithm)).
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(t4_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l2_struct_0 @ A ) ) => ( = @ ( u1_struct_0 @ A ) @ ( k4_subset_1 @ ( u1_struct_0 @ A ) @ ( k6_domain_1 @ ( u1_struct_0 @ A ) @ ( k4_struct_0 @ A ) ) @ ( k8_struct_0 @ A ) ) ) ) ),file(struct_0,t4_struct_0)).
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(t56_scmfsa_2,axiom,( ! [A: $i] : ( ( ( v1_ami_2 @ A ) & ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) ) => ~ ( = @ A @ ( k4_struct_0 @ k1_scmfsa_2 ) ) ) ),file(scmfsa_2,t56_scmfsa_2)).
thf(t57_scmfsa_2,axiom,( ! [A: $i] : ( ( m1_scmfsa_2 @ A ) => ~ ( = @ A @ ( k4_struct_0 @ k1_scmfsa_2 ) ) ) ),file(scmfsa_2,t57_scmfsa_2)).
thf(t58_scmfsa_2,axiom,( ! [A: $i] : ( ( ( v1_ami_2 @ A ) & ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) ) => ! [B: $i] : ( ( m1_scmfsa_2 @ B ) => ~ ( = @ A @ B ) ) ) ),file(scmfsa_2,t58_scmfsa_2)).
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(t6_boole,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( = @ A @ k1_xboole_0 ) ) ),file(boole,t6_boole)).
thf(t7_boole,axiom,( ! [A: $i] : ! [B: $i] : ~ ( ( r2_hidden @ A @ B ) & ( v1_xboole_0 @ B ) ) ),file(boole,t7_boole)).
thf(t8_boole,axiom,( ! [A: $i] : ! [B: $i] : ~ ( ( v1_xboole_0 @ A ) & ~ ( = @ A @ B ) & ( v1_xboole_0 @ B ) ) ),file(boole,t8_boole)).
thf(t8_scmfsa_2,axiom,( ! [A: $i] : ( ( ( v1_ami_2 @ A ) & ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ k5_numbers ) & ( = @ A @ ( k4_scmfsa_2 @ B ) ) ) ) ),file(scmfsa_2,t8_scmfsa_2)).
thf(t9_scmfsa_2,axiom,( ! [A: $i] : ( ( m1_scmfsa_2 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ k5_numbers ) & ( = @ A @ ( k5_scmfsa_2 @ B ) ) ) ) ),file(scmfsa_2,t9_scmfsa_2)).
thf(s1_classes1,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ( ! [C: $i] : ~ ( ( r2_hidden @ C @ B ) & ! [D: $i] : ~ ( A @ C @ D ) ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( = @ ( k9_xtuple_0 @ C ) @ B ) & ! [D: $i] : ( ( r2_hidden @ D @ B ) => ( A @ D @ ( k1_funct_1 @ C @ D ) ) ) ) ) ),file(classes1,s1_classes1)).
thf(s1_scmfsa_m,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) & ( v1_funct_1 @ A ) & ( v5_funct_1 @ A @ ( k2_memstr_0 @ np__3 @ k1_scmfsa_2 ) ) & ( v1_partfun1 @ A @ ( u1_struct_0 @ k1_scmfsa_2 ) ) & ( = @ ( k5_memstr_0 @ np__3 @ k1_scmfsa_2 @ A ) @ f3_s1_scmfsa_m ) & ! [B: $i] : ( ( m2_subset_1 @ B @ k1_numbers @ k5_numbers ) => ( ( = @ ( k1_funct_1 @ A @ ( k4_scmfsa_2 @ B ) ) @ ( f1_s1_scmfsa_m @ B ) ) & ( = @ ( k18_scmfsa_2 @ A @ ( k5_scmfsa_2 @ B ) ) @ ( f2_s1_scmfsa_m @ B ) ) ) ) ) ),file(scmfsa_m,s1_scmfsa_m)).
