% Mizar problem: s5_scpinvar,scpinvar,1948,11 
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(n14_type,type,( np__14: $i )).
thf(f1_s5_scpinvar_type,type,( f1_s5_scpinvar: $i > $i )).
thf(f2_s5_scpinvar_type,type,( f2_s5_scpinvar: $i )).
thf(f3_s5_scpinvar_type,type,( f3_s5_scpinvar: $i )).
thf(f4_s5_scpinvar_type,type,( f4_s5_scpinvar: $i )).
thf(f5_s5_scpinvar_type,type,( f5_s5_scpinvar: $i )).
thf(f6_s5_scpinvar_type,type,( f6_s5_scpinvar: $i )).
thf(g1_extpro_1_type,type,( g1_extpro_1: $i > $i > $i > $i > $i > $i > $i > $i )).
thf(k11_finseq_1_type,type,( k11_finseq_1: $i > $i > $i > $i )).
thf(k16_complex1_type,type,( k16_complex1: $i > $i )).
thf(k16_funcop_1_type,type,( k16_funcop_1: $i > $i > $i )).
thf(k1_ami_2_type,type,( k1_ami_2: $i )).
thf(k1_card_1_type,type,( k1_card_1: $i > $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_4_type,type,( k1_funct_4: $i > $i > $i )).
thf(k1_funct_7_type,type,( k1_funct_7: $i > $i > $i )).
thf(k1_int_2_type,type,( k1_int_2: $i > $i )).
thf(k1_numbers_type,type,( k1_numbers: $i )).
thf(k1_ordinal4_type,type,( k1_ordinal4: $i > $i > $i )).
thf(k1_scmpds_2_type,type,( k1_scmpds_2: $i )).
thf(k1_scmpds_4_type,type,( k1_scmpds_4: $i > $i > $i )).
thf(k1_scmpds_i_type,type,( k1_scmpds_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_funcop_1_type,type,( k2_funcop_1: $i > $i > $i )).
thf(k2_memstr_0_type,type,( k2_memstr_0: $i > $i > $i )).
thf(k2_nat_1_type,type,( k2_nat_1: $i > $i > $i )).
thf(k2_scmpds_2_type,type,( k2_scmpds_2: $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_ami_2_type,type,( k3_ami_2: $i )).
thf(k3_numbers_type,type,( k3_numbers: $i )).
thf(k3_real_1_type,type,( k3_real_1: $i > $i > $i )).
thf(k3_relat_1_type,type,( k3_relat_1: $i > $i > $i )).
thf(k3_scmpds_2_type,type,( k3_scmpds_2: $i > $i )).
thf(k3_scmpds_4_type,type,( k3_scmpds_4: $i > $i > $i )).
thf(k3_xtuple_0_type,type,( k3_xtuple_0: $i > $i > $i > $i )).
thf(k4_ami_2_type,type,( k4_ami_2: $i )).
thf(k4_card_3_type,type,( k4_card_3: $i > $i )).
thf(k4_numbers_type,type,( k4_numbers: $i )).
thf(k4_ordinal1_type,type,( k4_ordinal1: $i )).
thf(k4_scmpds_4_type,type,( k4_scmpds_4: $i > $i > $i )).
thf(k4_scpinvar_type,type,( k4_scpinvar: $i > $i > $i > $i )).
thf(k4_struct_0_type,type,( k4_struct_0: $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(k4_xcmplx_0_type,type,( k4_xcmplx_0: $i > $i )).
thf(k5_card_1_type,type,( k5_card_1: $i > $i )).
thf(k5_finseq_1_type,type,( k5_finseq_1: $i > $i )).
thf(k5_numbers_type,type,( k5_numbers: $i )).
thf(k6_numbers_type,type,( k6_numbers: $i )).
thf(k6_scmpds_1_type,type,( k6_scmpds_1: $i )).
thf(k6_scmpds_4_type,type,( k6_scmpds_4: $i > $i > $i > $i )).
thf(k7_funcop_1_type,type,( k7_funcop_1: $i > $i > $i )).
thf(k7_memstr_0_type,type,( k7_memstr_0: $i > $i > $i > $i )).
thf(k7_scmpds_2_type,type,( k7_scmpds_2: $i > $i > $i > $i )).
thf(k8_memstr_0_type,type,( k8_memstr_0: $i > $i > $i > $i )).
thf(k9_finseq_1_type,type,( k9_finseq_1: $i > $i )).
thf(k9_xtuple_0_type,type,( k9_xtuple_0: $i > $i )).
thf(u1_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_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(m2_subset_1_type,type,( m2_subset_1: $i > $i > $i > $o )).
thf(p1_s5_scpinvar_type,type,( p1_s5_scpinvar: $i > $o )).
thf(r1_scmpds_6_type,type,( r1_scmpds_6: $i > $i > $i > $o )).
thf(r1_tarski_type,type,( r1_tarski: $i > $i > $o )).
thf(r1_xxreal_0_type,type,( r1_xxreal_0: $i > $i > $o )).
thf(r2_scmpds_6_type,type,( r2_scmpds_6: $i > $i > $i > $o )).
thf(v13_struct_0_type,type,( v13_struct_0: $i > $i > $o )).
thf(v1_afinsq_1_type,type,( v1_afinsq_1: $i > $o )).
thf(v1_ami_2_type,type,( v1_ami_2: $i > $o )).
thf(v1_card_1_type,type,( v1_card_1: $i > $o )).
thf(v1_card_3_type,type,( v1_card_3: $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_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_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_valued_0_type,type,( v1_valued_0: $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_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v2_card_1_type,type,( v2_card_1: $i > $o )).
thf(v2_card_3_type,type,( v2_card_3: $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_funct_1_type,type,( v2_funct_1: $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_valued_0_type,type,( v2_valued_0: $i > $o )).
thf(v2_xxreal_0_type,type,( v2_xxreal_0: $i > $o )).
thf(v3_card_1_type,type,( v3_card_1: $i > $i > $o )).
thf(v3_card_3_type,type,( v3_card_3: $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_funct_1_type,type,( v3_funct_1: $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_scmpds_4_type,type,( v3_scmpds_4: $i > $o )).
thf(v3_valued_0_type,type,( v3_valued_0: $i > $o )).
thf(v3_xxreal_0_type,type,( v3_xxreal_0: $i > $o )).
thf(v4_card_3_type,type,( v4_card_3: $i > $o )).
thf(v4_compos_1_type,type,( v4_compos_1: $i > $i > $o )).
thf(v4_funct_1_type,type,( v4_funct_1: $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_valued_0_type,type,( v4_valued_0: $i > $o )).
thf(v5_card_3_type,type,( v5_card_3: $i > $o )).
thf(v5_compos_0_type,type,( v5_compos_0: $i > $o )).
thf(v5_funct_1_type,type,( v5_funct_1: $i > $i > $o )).
thf(v5_memstr_0_type,type,( v5_memstr_0: $i > $i > $i > $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_valued_0_type,type,( v5_valued_0: $i > $o )).
thf(v6_compos_0_type,type,( v6_compos_0: $i > $i > $o )).
thf(v6_membered_type,type,( v6_membered: $i > $o )).
thf(v6_ordinal1_type,type,( v6_ordinal1: $i > $o )).
thf(v6_valued_0_type,type,( v6_valued_0: $i > $o )).
thf(v7_ordinal1_type,type,( v7_ordinal1: $i > $o )).
thf(v7_struct_0_type,type,( v7_struct_0: $i > $o )).
thf(v7_valued_0_type,type,( v7_valued_0: $i > $o )).
thf(v8_struct_0_type,type,( v8_struct_0: $i > $o )).
thf(v8_valued_0_type,type,( v8_valued_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_card_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k4_card_3 @ B ) ) => ( v4_relat_1 @ C @ A ) ) ) ),file(card_3,cc10_card_3)).
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_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_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_valued_0 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_valued_0 @ B ) ) ) ),file(valued_0,cc10_valued_0)).
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_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_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_valued_0 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v2_valued_0 @ B ) ) ) ),file(valued_0,cc11_valued_0)).
thf(cc12_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_valued_0 @ A ) & ( v5_valued_0 @ A ) & ( v1_finseq_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funct_1 @ A ) & ( v3_valued_0 @ A ) & ( v1_finseq_1 @ A ) ) ) ),file(finseq_1,cc12_finseq_1)).
thf(cc12_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v3_valued_0 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v3_valued_0 @ B ) ) ) ),file(valued_0,cc12_valued_0)).
thf(cc13_card_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k4_card_3 @ B ) ) => ( v1_partfun1 @ C @ A ) ) ) ),file(card_3,cc13_card_3)).
thf(cc13_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k3_numbers ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v5_relat_1 @ B @ k3_numbers ) ) ) ),file(valued_0,cc13_valued_0)).
thf(cc14_card_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k4_card_3 @ B ) ) => ( v1_partfun1 @ C @ A ) ) ) ),file(card_3,cc14_card_3)).
thf(cc14_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k4_numbers ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v5_relat_1 @ B @ k4_numbers ) ) ) ),file(valued_0,cc14_valued_0)).
thf(cc15_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_valued_0 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v4_valued_0 @ B ) ) ) ),file(valued_0,cc15_valued_0)).
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(cc1_afinsq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) ) ) ),file(afinsq_1,cc1_afinsq_1)).
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_card_3,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_card_3 @ A ) ) ) ),file(card_3,cc1_card_3)).
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_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_funct_1 @ A ) ) ),file(funct_1,cc1_funct_1)).
thf(cc1_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v1_partfun1 @ C @ A ) => ( v1_funct_2 @ C @ A @ B ) ) ) ),file(funct_2,cc1_funct_2)).
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_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_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ~ ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc1_pboole)).
thf(cc1_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_relat_1 @ A ) ) ),file(relat_1,cc1_relat_1)).
thf(cc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_relat_1 @ C ) ) ),file(relset_1,cc1_relset_1)).
thf(cc1_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_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_valued_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k4_numbers ) ) ) ),file(valued_0,cc1_valued_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(cc21_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v6_membered @ B ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v4_valued_0 @ C ) ) ) ),file(valued_0,cc21_valued_0)).
thf(cc22_valued_0,axiom,( ! [A: $i] : ( ( ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v5_valued_0 @ A ) & ( v6_valued_0 @ A ) ) ) ),file(valued_0,cc22_valued_0)).
thf(cc23_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v5_valued_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v7_valued_0 @ A ) ) ) ),file(valued_0,cc23_valued_0)).
thf(cc24_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v6_valued_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v8_valued_0 @ A ) ) ) ),file(valued_0,cc24_valued_0)).
thf(cc2_afinsq_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v3_card_1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) ) ) ) ),file(afinsq_1,cc2_afinsq_1)).
thf(cc2_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc2_card_1)).
thf(cc2_card_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_setfam_1 @ B ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) ) => ( ( v2_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) ) ) ) ) ),file(card_3,cc2_card_3)).
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_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_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v1_funct_2 @ C @ A @ B ) => ( v1_partfun1 @ C @ A ) ) ) ) ),file(funct_2,cc2_funct_2)).
thf(cc2_int_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_int_1 @ A ) ) ),file(int_1,cc2_int_1)).
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_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ~ ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc2_pboole)).
thf(cc2_relat_1,axiom,( ! [A: $i] : ( ( v1_relat_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_relat_1 @ B ) ) ) ),file(relat_1,cc2_relat_1)).
thf(cc2_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ) ),file(relset_1,cc2_relset_1)).
thf(cc2_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_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k4_numbers ) ) => ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k3_numbers ) ) ) ),file(valued_0,cc2_valued_0)).
thf(cc2_xreal_0,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_xreal_0 @ A ) ) ),file(xreal_0,cc2_xreal_0)).
thf(cc30_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k1_numbers ) ) => ( ( v1_relat_1 @ A ) & ( v3_valued_0 @ A ) ) ) ),file(valued_0,cc30_valued_0)).
thf(cc31_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k5_numbers ) ) => ( ( v1_relat_1 @ A ) & ( v4_valued_0 @ A ) ) ) ),file(valued_0,cc31_valued_0)).
thf(cc3_afinsq_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v3_card_1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_finset_1 @ B ) & ( v3_card_1 @ B @ A ) ) ) ) ),file(afinsq_1,cc3_afinsq_1)).
thf(cc3_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc3_card_1)).
thf(cc3_card_3,axiom,( ! [A: $i] : ( ( v3_card_3 @ A ) => ( ( v4_funct_1 @ A ) & ( v2_card_3 @ A ) ) ) ),file(card_3,cc3_card_3)).
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_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_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v1_funct_2 @ C @ A @ B ) => ( v1_partfun1 @ C @ A ) ) ) ) ),file(funct_2,cc3_funct_2)).
thf(cc3_int_1,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( v1_xreal_0 @ A ) ) ),file(int_1,cc3_int_1)).
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_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k4_numbers ) ) => ( ( v1_relat_1 @ A ) & ( v3_valued_0 @ A ) ) ) ),file(valued_0,cc3_valued_0)).
thf(cc3_xreal_0,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v1_xcmplx_0 @ A ) ) ),file(xreal_0,cc3_xreal_0)).
thf(cc4_afinsq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k1_numbers ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k1_numbers ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v3_valued_0 @ A ) ) ) ),file(afinsq_1,cc4_afinsq_1)).
thf(cc4_card_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k4_ordinal1 ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc4_card_1)).
thf(cc4_card_3,axiom,( ! [A: $i] : ( ( v5_card_3 @ A ) => ( ~ ( v1_finset_1 @ A ) & ( v4_card_3 @ A ) ) ) ),file(card_3,cc4_card_3)).
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_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_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) ) ) => ( ( v1_funct_2 @ B @ A @ A ) => ( v1_partfun1 @ B @ A ) ) ) ),file(funct_2,cc4_funct_2)).
thf(cc4_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_ordinal1 @ A ) ) ),file(ordinal1,cc4_ordinal1)).
thf(cc4_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ~ ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc4_pboole)).
thf(cc4_relat_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ) ),file(relat_1,cc4_relat_1)).
thf(cc4_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc4_relset_1)).
thf(cc4_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_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k3_numbers ) ) => ( ( v1_relat_1 @ A ) & ( v3_valued_0 @ A ) ) ) ),file(valued_0,cc4_valued_0)).
thf(cc4_xreal_0,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v1_xxreal_0 @ A ) ) ),file(xreal_0,cc4_xreal_0)).
thf(cc5_afinsq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k5_numbers ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k5_numbers ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v4_valued_0 @ A ) ) ) ),file(afinsq_1,cc5_afinsq_1)).
thf(cc5_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc5_card_1)).
thf(cc5_card_3,axiom,( ! [A: $i] : ( ( ~ ( v1_finset_1 @ A ) & ( v4_card_3 @ A ) ) => ( v5_card_3 @ A ) ) ),file(card_3,cc5_card_3)).
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_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_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v3_ordinal1 @ B ) ) ) ),file(ordinal1,cc5_ordinal1)).
thf(cc5_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc5_pboole)).
thf(cc5_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ B ) ) => ( v4_relat_1 @ C @ A ) ) ) ),file(relat_1,cc5_relat_1)).
thf(cc5_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ( ~ ( v2_struct_0 @ A ) & ~ ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc5_struct_0)).
thf(cc5_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v3_valued_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v2_valued_0 @ A ) ) ) ),file(valued_0,cc5_valued_0)).
thf(cc6_afinsq_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_afinsq_1 @ A ) ) ) ),file(afinsq_1,cc6_afinsq_1)).
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_card_3,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v4_card_3 @ A ) ) ),file(card_3,cc6_card_3)).
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_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_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v3_valued_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_valued_0 @ A ) ) ) ),file(valued_0,cc6_valued_0)).
thf(cc7_afinsq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) ) ) ),file(afinsq_1,cc7_afinsq_1)).
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_card_3,axiom,( ! [A: $i] : ( ( v4_card_3 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v4_card_3 @ B ) ) ) ),file(card_3,cc7_card_3)).
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_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_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_valued_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k3_numbers ) ) ) ),file(valued_0,cc7_valued_0)).
thf(cc8_afinsq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) ) ),file(afinsq_1,cc8_afinsq_1)).
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_card_3,axiom,( ! [A: $i] : ( ( v2_card_3 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v2_card_3 @ B ) ) ) ),file(card_3,cc8_card_3)).
thf(cc8_finseq_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_finseq_1 @ A ) ) ),file(finseq_1,cc8_finseq_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_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) ) => ( ( v1_funct_1 @ C ) & ~ ( v1_xboole_0 @ C ) & ( v1_funct_2 @ C @ A @ B ) ) ) ) ) ),file(funct_2,cc8_funct_2)).
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_valued_0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_valued_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v3_valued_0 @ A ) ) ) ),file(valued_0,cc8_valued_0)).
thf(cc9_afinsq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) ) ) ),file(afinsq_1,cc9_afinsq_1)).
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_card_3,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k4_card_3 @ A ) ) => ( v5_funct_1 @ B @ A ) ) ) ),file(card_3,cc9_card_3)).
thf(cc9_finseq_1,axiom,( ! [A: $i] : ( ( v3_finseq_1 @ A ) => ( v4_funct_1 @ A ) ) ),file(finseq_1,cc9_finseq_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_valued_0,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v4_valued_0 @ A ) ) ) ),file(valued_0,cc9_valued_0)).
thf(commutativity_k2_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_subset_1 @ A @ k5_numbers ) & ( v7_ordinal1 @ B ) ) => ( = @ ( k2_nat_1 @ A @ B ) @ ( k2_nat_1 @ B @ A ) ) ) ),file(nat_1,k2_nat_1)).
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_real_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xreal_0 @ A ) & ( m1_subset_1 @ B @ k1_numbers ) ) => ( = @ ( k3_real_1 @ A @ B ) @ ( k3_real_1 @ B @ A ) ) ) ),file(real_1,k3_real_1)).
thf(connectedness_r1_xxreal_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xxreal_0 @ A ) & ( v1_xxreal_0 @ B ) ) => ( ( r1_xxreal_0 @ A @ B ) | ( r1_xxreal_0 @ B @ A ) ) ) ),file(xxreal_0,r1_xxreal_0)).
thf(d10_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] : ( ( v7_ordinal1 @ C ) => ( = @ ( k7_memstr_0 @ A @ B @ C ) @ ( k16_funcop_1 @ ( k4_struct_0 @ B ) @ C ) ) ) ) ) ),file(memstr_0,d10_memstr_0)).
thf(d13_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 ) ) ) => ( = @ ( k8_memstr_0 @ A @ B @ C ) @ ( k1_funct_4 @ C @ ( k7_memstr_0 @ A @ B @ k6_numbers ) ) ) ) ) ) ),file(memstr_0,d13_memstr_0)).
thf(d1_scmpds_2,axiom,( = @ k1_scmpds_2 @ ( g1_extpro_1 @ np__2 @ k1_ami_2 @ ( k1_funct_7 @ k5_numbers @ k1_ami_2 ) @ k1_scmpds_i @ k3_ami_2 @ k4_ami_2 @ k6_scmpds_1 ) ),file(scmpds_2,d1_scmpds_2)).
thf(d2_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k2_funcop_1 @ A @ B ) @ ( k2_zfmisc_1 @ A @ ( k1_tarski @ B ) ) ) ),file(funcop_1,d2_funcop_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(d3_scmpds_2,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ! [B: $i] : ( ( v1_int_1 @ B ) => ( = @ ( k2_scmpds_2 @ A @ B ) @ ( k4_tarski @ np__1 @ ( k1_int_2 @ ( k2_xcmplx_0 @ A @ B ) ) ) ) ) ) ),file(scmpds_2,d3_scmpds_2)).
thf(d3_scpinvar,axiom,( ! [A: $i] : ( ( ( v1_ami_2 @ A ) & ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ! [B: $i] : ( ( v1_int_1 @ B ) => ! [C: $i] : ( ( ~ ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ k5_numbers ) & ( v5_relat_1 @ C @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ C ) & ( v1_finset_1 @ C ) & ( v1_afinsq_1 @ C ) ) => ( = @ ( k4_scpinvar @ A @ B @ C ) @ ( k3_scmpds_4 @ ( k1_scmpds_4 @ ( k4_scmpds_4 @ ( k7_scmpds_2 @ A @ B @ np__2 ) @ ( k3_scmpds_2 @ ( k2_nat_1 @ ( k5_card_1 @ C ) @ np__2 ) ) ) @ C ) @ ( k3_scmpds_2 @ ( k4_xcmplx_0 @ ( k2_nat_1 @ ( k5_card_1 @ C ) @ np__2 ) ) ) ) ) ) ) ) ),file(scpinvar,d3_scpinvar)).
thf(d4_scmpds_2,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( = @ ( k3_scmpds_2 @ A ) @ ( k3_xtuple_0 @ np__14 @ k1_xboole_0 @ ( k9_finseq_1 @ A ) ) ) ) ),file(scmpds_2,d4_scmpds_2)).
thf(d8_scmpds_2,axiom,( ! [A: $i] : ( ( ( v1_ami_2 @ A ) & ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ! [B: $i] : ( ( v1_int_1 @ B ) => ! [C: $i] : ( ( v1_int_1 @ C ) => ( = @ ( k7_scmpds_2 @ A @ B @ C ) @ ( k3_xtuple_0 @ np__4 @ k1_xboole_0 @ ( k11_finseq_1 @ A @ B @ C ) ) ) ) ) ) ),file(scmpds_2,d8_scmpds_2)).
thf(d9_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k16_funcop_1 @ A @ B ) @ ( k7_funcop_1 @ ( k1_tarski @ A ) @ B ) ) ),file(funcop_1,d9_funcop_1)).
thf(dt_f1_s5_scpinvar,axiom,( ! [A: $i] : ( m2_subset_1 @ ( f1_s5_scpinvar @ A ) @ k1_numbers @ k5_numbers ) ),file(scpinvar,f1_s5_scpinvar)).
thf(dt_f2_s5_scpinvar,axiom,( ( v1_relat_1 @ f2_s5_scpinvar ) & ( v4_relat_1 @ f2_s5_scpinvar @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ f2_s5_scpinvar ) & ( v5_funct_1 @ f2_s5_scpinvar @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ f2_s5_scpinvar @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v5_memstr_0 @ f2_s5_scpinvar @ np__2 @ k1_scmpds_2 @ k6_numbers ) ),file(scpinvar,f2_s5_scpinvar)).
thf(dt_f3_s5_scpinvar,axiom,( ( v1_relat_1 @ f3_s5_scpinvar ) & ( v4_relat_1 @ f3_s5_scpinvar @ k5_numbers ) & ( v5_relat_1 @ f3_s5_scpinvar @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ f3_s5_scpinvar ) & ( v1_partfun1 @ f3_s5_scpinvar @ k5_numbers ) ),file(scpinvar,f3_s5_scpinvar)).
thf(dt_f4_s5_scpinvar,axiom,( ~ ( v1_xboole_0 @ f4_s5_scpinvar ) & ( v1_relat_1 @ f4_s5_scpinvar ) & ( v4_relat_1 @ f4_s5_scpinvar @ k5_numbers ) & ( v5_relat_1 @ f4_s5_scpinvar @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ f4_s5_scpinvar ) & ( v1_finset_1 @ f4_s5_scpinvar ) & ( v1_afinsq_1 @ f4_s5_scpinvar ) & ( v2_compos_1 @ f4_s5_scpinvar @ k1_scmpds_2 ) & ( v3_scmpds_4 @ f4_s5_scpinvar ) ),file(scpinvar,f4_s5_scpinvar)).
thf(dt_f5_s5_scpinvar,axiom,( ( v1_ami_2 @ f5_s5_scpinvar ) & ( m1_subset_1 @ f5_s5_scpinvar @ ( u1_struct_0 @ k1_scmpds_2 ) ) ),file(scpinvar,f5_s5_scpinvar)).
thf(dt_f6_s5_scpinvar,axiom,( v1_int_1 @ f6_s5_scpinvar ),file(scpinvar,f6_s5_scpinvar)).
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_k11_finseq_1,axiom,( $true ),file(finseq_1,k11_finseq_1)).
thf(dt_k16_complex1,axiom,( ! [A: $i] : ( ( v1_xcmplx_0 @ A ) => ( v1_xreal_0 @ ( k16_complex1 @ A ) ) ) ),file(complex1,k16_complex1)).
thf(dt_k16_funcop_1,axiom,( $true ),file(funcop_1,k16_funcop_1)).
thf(dt_k1_ami_2,axiom,( $true ),file(ami_2,k1_ami_2)).
thf(dt_k1_card_1,axiom,( ! [A: $i] : ( v1_card_1 @ ( k1_card_1 @ A ) ) ),file(card_1,k1_card_1)).
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_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(funct_4,k1_funct_4)).
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_int_2,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( m1_subset_1 @ ( k1_int_2 @ A ) @ k5_numbers ) ) ),file(int_2,k1_int_2)).
thf(dt_k1_numbers,axiom,( $true ),file(numbers,k1_numbers)).
thf(dt_k1_ordinal4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k1_ordinal4 @ A @ B ) ) & ( v5_ordinal1 @ ( k1_ordinal4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_ordinal4 @ A @ B ) ) ) ) ),file(ordinal4,k1_ordinal4)).
thf(dt_k1_scmpds_2,axiom,( ( v1_extpro_1 @ k1_scmpds_2 @ np__2 ) & ( l1_extpro_1 @ k1_scmpds_2 @ np__2 ) ),file(scmpds_2,k1_scmpds_2)).
thf(dt_k1_scmpds_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v1_afinsq_1 @ B ) ) => ( ~ ( v1_xboole_0 @ ( k1_scmpds_4 @ A @ B ) ) & ( v1_relat_1 @ ( k1_scmpds_4 @ A @ B ) ) & ( v4_relat_1 @ ( k1_scmpds_4 @ A @ B ) @ k5_numbers ) & ( v5_relat_1 @ ( k1_scmpds_4 @ A @ B ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ ( k1_scmpds_4 @ A @ B ) ) & ( v1_finset_1 @ ( k1_scmpds_4 @ A @ B ) ) & ( v1_afinsq_1 @ ( k1_scmpds_4 @ A @ B ) ) ) ) ),file(scmpds_4,k1_scmpds_4)).
thf(dt_k1_scmpds_i,axiom,( $true ),file(scmpds_i,k1_scmpds_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_funcop_1,axiom,( $true ),file(funcop_1,k2_funcop_1)).
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_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_subset_1 @ A @ k5_numbers ) & ( v7_ordinal1 @ B ) ) => ( m2_subset_1 @ ( k2_nat_1 @ A @ B ) @ k1_numbers @ k5_numbers ) ) ),file(nat_1,k2_nat_1)).
thf(dt_k2_scmpds_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_int_1 @ A ) & ( v1_int_1 @ B ) ) => ( ( v1_ami_2 @ ( k2_scmpds_2 @ A @ B ) ) & ( m1_subset_1 @ ( k2_scmpds_2 @ A @ B ) @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) ) ),file(scmpds_2,k2_scmpds_2)).
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_ami_2,axiom,( ( v1_funct_1 @ k3_ami_2 ) & ( v1_funct_2 @ k3_ami_2 @ k1_ami_2 @ np__2 ) & ( m1_subset_1 @ k3_ami_2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k1_ami_2 @ np__2 ) ) ) ),file(ami_2,k3_ami_2)).
thf(dt_k3_numbers,axiom,( $true ),file(numbers,k3_numbers)).
thf(dt_k3_real_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xreal_0 @ A ) & ( m1_subset_1 @ B @ k1_numbers ) ) => ( m1_subset_1 @ ( k3_real_1 @ A @ B ) @ k1_numbers ) ) ),file(real_1,k3_real_1)).
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_scmpds_2,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( m1_subset_1 @ ( k3_scmpds_2 @ A ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) ) ),file(scmpds_2,k3_scmpds_2)).
thf(dt_k3_scmpds_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) & ( m1_subset_1 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) ) => ( ~ ( v1_xboole_0 @ ( k3_scmpds_4 @ A @ B ) ) & ( v1_relat_1 @ ( k3_scmpds_4 @ A @ B ) ) & ( v4_relat_1 @ ( k3_scmpds_4 @ A @ B ) @ k5_numbers ) & ( v5_relat_1 @ ( k3_scmpds_4 @ A @ B ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ ( k3_scmpds_4 @ A @ B ) ) & ( v1_finset_1 @ ( k3_scmpds_4 @ A @ B ) ) & ( v1_afinsq_1 @ ( k3_scmpds_4 @ A @ B ) ) ) ) ),file(scmpds_4,k3_scmpds_4)).
thf(dt_k3_xtuple_0,axiom,( $true ),file(xtuple_0,k3_xtuple_0)).
thf(dt_k4_ami_2,axiom,( ( v1_relat_1 @ k4_ami_2 ) & ( v4_relat_1 @ k4_ami_2 @ np__2 ) & ( v1_funct_1 @ k4_ami_2 ) & ( v1_partfun1 @ k4_ami_2 @ np__2 ) ),file(ami_2,k4_ami_2)).
thf(dt_k4_card_3,axiom,( $true ),file(card_3,k4_card_3)).
thf(dt_k4_numbers,axiom,( $true ),file(numbers,k4_numbers)).
thf(dt_k4_ordinal1,axiom,( $true ),file(ordinal1,k4_ordinal1)).
thf(dt_k4_scmpds_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_subset_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( m1_subset_1 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) ) => ( ~ ( v1_xboole_0 @ ( k4_scmpds_4 @ A @ B ) ) & ( v1_relat_1 @ ( k4_scmpds_4 @ A @ B ) ) & ( v4_relat_1 @ ( k4_scmpds_4 @ A @ B ) @ k5_numbers ) & ( v5_relat_1 @ ( k4_scmpds_4 @ A @ B ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ ( k4_scmpds_4 @ A @ B ) ) & ( v1_finset_1 @ ( k4_scmpds_4 @ A @ B ) ) & ( v1_afinsq_1 @ ( k4_scmpds_4 @ A @ B ) ) ) ) ),file(scmpds_4,k4_scmpds_4)).
thf(dt_k4_scpinvar,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_ami_2 @ A ) & ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_int_1 @ B ) & ~ ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ k5_numbers ) & ( v5_relat_1 @ C @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ C ) & ( v1_finset_1 @ C ) & ( v1_afinsq_1 @ C ) ) => ( ~ ( v1_xboole_0 @ ( k4_scpinvar @ A @ B @ C ) ) & ( v1_relat_1 @ ( k4_scpinvar @ A @ B @ C ) ) & ( v4_relat_1 @ ( k4_scpinvar @ A @ B @ C ) @ k5_numbers ) & ( v5_relat_1 @ ( k4_scpinvar @ A @ B @ C ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ ( k4_scpinvar @ A @ B @ C ) ) & ( v1_finset_1 @ ( k4_scpinvar @ A @ B @ C ) ) & ( v1_afinsq_1 @ ( k4_scpinvar @ A @ B @ C ) ) ) ) ),file(scpinvar,k4_scpinvar)).
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_tarski,axiom,( $true ),file(tarski,k4_tarski)).
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_card_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( m1_subset_1 @ ( k5_card_1 @ A ) @ k4_ordinal1 ) ) ),file(card_1,k5_card_1)).
thf(dt_k5_finseq_1,axiom,( $true ),file(finseq_1,k5_finseq_1)).
thf(dt_k5_numbers,axiom,( m1_subset_1 @ k5_numbers @ ( k1_zfmisc_1 @ k1_numbers ) ),file(numbers,k5_numbers)).
thf(dt_k6_numbers,axiom,( m2_subset_1 @ k6_numbers @ k1_numbers @ k5_numbers ),file(numbers,k6_numbers)).
thf(dt_k6_scmpds_1,axiom,( ( v1_funct_1 @ k6_scmpds_1 ) & ( v1_funct_2 @ k6_scmpds_1 @ k1_scmpds_i @ ( k1_funct_2 @ ( k4_card_3 @ ( k3_relat_1 @ k3_ami_2 @ k4_ami_2 ) ) @ ( k4_card_3 @ ( k3_relat_1 @ k3_ami_2 @ k4_ami_2 ) ) ) ) & ( m1_subset_1 @ k6_scmpds_1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k1_scmpds_i @ ( k1_funct_2 @ ( k4_card_3 @ ( k3_relat_1 @ k3_ami_2 @ k4_ami_2 ) ) @ ( k4_card_3 @ ( k3_relat_1 @ k3_ami_2 @ k4_ami_2 ) ) ) ) ) ) ),file(scmpds_1,k6_scmpds_1)).
thf(dt_k6_scmpds_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ B ) & ( v5_funct_1 @ B @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ k5_numbers ) & ( v5_relat_1 @ C @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ k5_numbers ) ) => ( ( v1_relat_1 @ ( k6_scmpds_4 @ A @ B @ C ) ) & ( v4_relat_1 @ ( k6_scmpds_4 @ A @ B @ C ) @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ ( k6_scmpds_4 @ A @ B @ C ) ) & ( v5_funct_1 @ ( k6_scmpds_4 @ A @ B @ C ) @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ ( k6_scmpds_4 @ A @ B @ C ) @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) ) ),file(scmpds_4,k6_scmpds_4)).
thf(dt_k7_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_funct_1 @ ( k7_funcop_1 @ A @ B ) ) & ( v1_funct_2 @ ( k7_funcop_1 @ A @ B ) @ A @ ( k1_tarski @ B ) ) & ( m1_subset_1 @ ( k7_funcop_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ ( k1_tarski @ B ) ) ) ) ) ),file(funcop_1,k7_funcop_1)).
thf(dt_k7_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 ) & ( v7_ordinal1 @ C ) ) => ( ( v1_relat_1 @ ( k7_memstr_0 @ A @ B @ C ) ) & ( v4_relat_1 @ ( k7_memstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k7_memstr_0 @ A @ B @ C ) ) & ( v5_funct_1 @ ( k7_memstr_0 @ A @ B @ C ) @ ( k2_memstr_0 @ A @ B ) ) ) ) ),file(memstr_0,k7_memstr_0)).
thf(dt_k7_scmpds_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_ami_2 @ A ) & ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_int_1 @ B ) & ( v1_int_1 @ C ) ) => ( m1_subset_1 @ ( k7_scmpds_2 @ A @ B @ C ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) ) ),file(scmpds_2,k7_scmpds_2)).
thf(dt_k8_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 ) ) ) => ( ( v1_relat_1 @ ( k8_memstr_0 @ A @ B @ C ) ) & ( v4_relat_1 @ ( k8_memstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k8_memstr_0 @ A @ B @ C ) ) & ( v5_funct_1 @ ( k8_memstr_0 @ A @ B @ C ) @ ( k2_memstr_0 @ A @ B ) ) ) ) ),file(memstr_0,k8_memstr_0)).
thf(dt_k9_finseq_1,axiom,( ! [A: $i] : ( ( v1_relat_1 @ ( k9_finseq_1 @ A ) ) & ( v1_funct_1 @ ( k9_finseq_1 @ A ) ) ) ),file(finseq_1,k9_finseq_1)).
thf(dt_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_l1_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_subset_1,axiom,( $true ),file(subset_1,m1_subset_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_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( m1_subset_1 @ B @ A ) ),file(subset_1,m1_subset_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_card_3,axiom,( v5_card_3 @ k4_ordinal1 ),file(card_3,fc10_card_3)).
thf(fc10_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( v4_funct_1 @ ( k1_funct_2 @ A @ B ) ) ),file(funct_2,fc10_funct_2)).
thf(fc10_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ B @ C ) ) & ( v5_relat_1 @ ( k1_funct_4 @ B @ C ) @ A ) & ( v1_funct_1 @ ( k1_funct_4 @ B @ C ) ) ) ) ),file(funct_4,fc10_funct_4)).
thf(fc10_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 ) & ( v7_ordinal1 @ C ) ) => ( ~ ( v1_xboole_0 @ ( k7_memstr_0 @ A @ B @ C ) ) & ( v1_relat_1 @ ( k7_memstr_0 @ A @ B @ C ) ) & ( v4_relat_1 @ ( k7_memstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k7_memstr_0 @ A @ B @ C ) ) & ( v5_funct_1 @ ( k7_memstr_0 @ A @ B @ C ) @ ( k2_memstr_0 @ A @ B ) ) & ( v5_memstr_0 @ ( k7_memstr_0 @ A @ B @ C ) @ A @ B @ C ) ) ) ),file(memstr_0,fc10_memstr_0)).
thf(fc10_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v3_ordinal1 @ A ) => ( v5_ordinal1 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(nat_1,fc10_nat_1)).
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_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_compos_0,axiom,( ( v2_compos_0 @ ( k1_tarski @ ( k3_xtuple_0 @ k6_numbers @ k1_xboole_0 @ k1_xboole_0 ) ) ) & ( v3_compos_0 @ ( k1_tarski @ ( k3_xtuple_0 @ k6_numbers @ k1_xboole_0 @ k1_xboole_0 ) ) ) ),file(compos_0,fc11_compos_0)).
thf(fc11_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( v1_finseq_1 @ ( k11_finseq_1 @ A @ B @ C ) ) ),file(finseq_1,fc11_finseq_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_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v5_funct_1 @ B @ A ) & ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ A ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ B @ C ) ) & ( v1_funct_1 @ ( k1_funct_4 @ B @ C ) ) & ( v5_funct_1 @ ( k1_funct_4 @ B @ C ) @ A ) ) ) ),file(funct_4,fc11_funct_4)).
thf(fc11_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( l1_memstr_0 @ B @ A ) & ( v7_ordinal1 @ C ) & ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ D ) & ( v5_funct_1 @ D @ ( k2_memstr_0 @ A @ B ) ) & ( v1_relat_1 @ E ) & ( v4_relat_1 @ E @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ E ) & ( v5_funct_1 @ E @ ( k2_memstr_0 @ A @ B ) ) & ( v5_memstr_0 @ E @ A @ B @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ D @ E ) ) & ( v1_funct_1 @ ( k1_funct_4 @ D @ E ) ) & ( v5_memstr_0 @ ( k1_funct_4 @ D @ E ) @ A @ B @ C ) ) ) ),file(memstr_0,fc11_memstr_0)).
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(fc12_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( l1_memstr_0 @ B @ A ) & ( v7_ordinal1 @ C ) & ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ D ) & ( v5_funct_1 @ D @ ( k2_memstr_0 @ A @ B ) ) & ( v5_memstr_0 @ D @ A @ B @ C ) & ( v1_relat_1 @ E ) & ( v4_relat_1 @ E @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ E ) & ( v5_funct_1 @ E @ ( k2_memstr_0 @ A @ B ) ) & ( v4_memstr_0 @ E @ A @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ D @ E ) ) & ( v1_funct_1 @ ( k1_funct_4 @ D @ E ) ) & ( v5_memstr_0 @ ( k1_funct_4 @ D @ E ) @ A @ B @ C ) ) ) ),file(memstr_0,fc12_memstr_0)).
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_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_card_3,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_finset_1 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(card_3,fc13_card_3)).
thf(fc13_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( v1_zfmisc_1 @ ( k16_funcop_1 @ A @ B ) ) ),file(funct_4,fc13_funct_4)).
thf(fc13_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 ) ) ) => ( ( v1_relat_1 @ ( k8_memstr_0 @ A @ B @ C ) ) & ( v4_relat_1 @ ( k8_memstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k8_memstr_0 @ A @ B @ C ) ) & ( v5_funct_1 @ ( k8_memstr_0 @ A @ B @ C ) @ ( k2_memstr_0 @ A @ B ) ) & ( v5_memstr_0 @ ( k8_memstr_0 @ A @ B @ C ) @ A @ B @ k6_numbers ) ) ) ),file(memstr_0,fc13_memstr_0)).
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_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_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 ) ) & ( v1_partfun1 @ C @ ( u1_struct_0 @ B ) ) ) => ( ( v1_relat_1 @ ( k8_memstr_0 @ A @ B @ C ) ) & ( v4_relat_1 @ ( k8_memstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k8_memstr_0 @ A @ B @ C ) ) & ( v5_funct_1 @ ( k8_memstr_0 @ A @ B @ C ) @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ ( k8_memstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ B ) ) ) ) ),file(memstr_0,fc14_memstr_0)).
thf(fc14_xreal_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v3_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ~ ( v2_xxreal_0 @ B ) & ( v1_xreal_0 @ B ) ) => ( v3_xxreal_0 @ ( k2_xcmplx_0 @ B @ A ) ) ) ),file(xreal_0,fc14_xreal_0)).
thf(fc15_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_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_afinsq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v7_ordinal1 @ A ) => ( ( v5_ordinal1 @ ( k2_funcop_1 @ A @ B ) ) & ( v1_finset_1 @ ( k2_funcop_1 @ A @ B ) ) ) ) ),file(afinsq_1,fc16_afinsq_1)).
thf(fc16_compos_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( l1_compos_1 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ k5_numbers ) & ( v5_relat_1 @ C @ ( u1_compos_1 @ A ) ) & ( v1_funct_1 @ C ) & ~ ( v2_compos_1 @ C @ A ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ B @ C ) ) & ( v1_funct_1 @ ( k1_funct_4 @ B @ C ) ) & ~ ( v2_compos_1 @ ( k1_funct_4 @ B @ C ) @ A ) ) ) ),file(compos_1,fc16_compos_1)).
thf(fc16_finseq_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k5_finseq_1 @ A ) ) ),file(finseq_1,fc16_finseq_1)).
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_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(fc18_compos_0,axiom,( v5_compos_0 @ ( k1_tarski @ ( k3_xtuple_0 @ k6_numbers @ k1_xboole_0 @ k1_xboole_0 ) ) ),file(compos_0,fc18_compos_0)).
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_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 ) & ( v7_ordinal1 @ C ) ) => ( ( v1_relat_1 @ ( k7_memstr_0 @ A @ B @ C ) ) & ( v4_relat_1 @ ( k7_memstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k7_memstr_0 @ A @ B @ C ) ) & ( v5_funct_1 @ ( k7_memstr_0 @ A @ B @ C ) @ ( k2_memstr_0 @ A @ B ) ) & ( v1_finset_1 @ ( k7_memstr_0 @ A @ B @ C ) ) ) ) ),file(memstr_0,fc18_memstr_0)).
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(fc1_afinsq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) => ( v7_ordinal1 @ ( k9_xtuple_0 @ A ) ) ) ),file(afinsq_1,fc1_afinsq_1)).
thf(fc1_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( ( v1_xboole_0 @ ( k1_card_1 @ A ) ) & ( v1_card_1 @ ( k1_card_1 @ A ) ) ) ) ),file(card_1,fc1_card_1)).
thf(fc1_compos_0,axiom,( v1_compos_0 @ ( k1_tarski @ ( k3_xtuple_0 @ k6_numbers @ k1_xboole_0 @ k1_xboole_0 ) ) ),file(compos_0,fc1_compos_0)).
thf(fc1_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_funct_1 @ ( k1_tarski @ ( k4_tarski @ A @ B ) ) ) ),file(funct_1,fc1_funct_1)).
thf(fc1_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) ),file(funct_2,fc1_funct_2)).
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_pboole,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ B ) & ( v1_funct_1 @ D ) & ( v1_partfun1 @ D @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ C @ D ) ) & ( v4_relat_1 @ ( k3_relat_1 @ C @ D ) @ A ) & ( v1_funct_1 @ ( k3_relat_1 @ C @ D ) ) & ( v1_partfun1 @ ( k3_relat_1 @ C @ D ) @ A ) ) ) ),file(pboole,fc1_pboole)).
thf(fc1_scmpds_2,axiom,( ~ ( v2_struct_0 @ k1_scmpds_2 ) & ( v1_extpro_1 @ k1_scmpds_2 @ np__2 ) ),file(scmpds_2,fc1_scmpds_2)).
thf(fc1_scmpds_6,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k5_numbers ) => ( v6_compos_0 @ ( k3_scmpds_2 @ ( k2_nat_1 @ A @ np__1 ) ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) ) ),file(scmpds_6,fc1_scmpds_6)).
thf(fc1_scpinvar,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) & ( v3_scmpds_4 @ A ) & ( v1_ami_2 @ B ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_int_1 @ C ) ) => ( ~ ( v1_xboole_0 @ ( k4_scpinvar @ B @ C @ A ) ) & ( v1_relat_1 @ ( k4_scpinvar @ B @ C @ A ) ) & ( v4_relat_1 @ ( k4_scpinvar @ B @ C @ A ) @ k5_numbers ) & ( v5_relat_1 @ ( k4_scpinvar @ B @ C @ A ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ ( k4_scpinvar @ B @ C @ A ) ) & ( v1_finset_1 @ ( k4_scpinvar @ B @ C @ A ) ) & ( v1_afinsq_1 @ ( k4_scpinvar @ B @ C @ A ) ) & ( v3_scmpds_4 @ ( k4_scpinvar @ B @ C @ A ) ) ) ) ),file(scpinvar,fc1_scpinvar)).
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_valued_1,axiom,( ! [A: $i] : ( ( v1_rat_1 @ A ) => ( ( v1_xreal_0 @ ( k16_complex1 @ A ) ) & ( v1_rat_1 @ ( k16_complex1 @ A ) ) ) ) ),file(valued_1,fc1_valued_1)).
thf(fc1_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_0)).
thf(fc20_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ~ ( v1_xboole_0 @ ( k11_finseq_1 @ A @ B @ C ) ) ),file(finseq_1,fc20_finseq_1)).
thf(fc20_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 ) ) & ( v1_finset_1 @ C ) ) => ( ( v1_relat_1 @ ( k8_memstr_0 @ A @ B @ C ) ) & ( v4_relat_1 @ ( k8_memstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k8_memstr_0 @ A @ B @ C ) ) & ( v5_funct_1 @ ( k8_memstr_0 @ A @ B @ C ) @ ( k2_memstr_0 @ A @ B ) ) & ( v1_finset_1 @ ( k8_memstr_0 @ A @ B @ C ) ) ) ) ),file(memstr_0,fc20_memstr_0)).
thf(fc24_finseq_1,axiom,( ! [A: $i] : ( v3_card_1 @ ( k5_finseq_1 @ A ) @ np__1 ) ),file(finseq_1,fc24_finseq_1)).
thf(fc24_relat_1,axiom,( ! [A: $i] : ( ( ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) ) => ( v1_zfmisc_1 @ ( k9_xtuple_0 @ A ) ) ) ),file(relat_1,fc24_relat_1)).
thf(fc24_scmpds_5,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) & ( v2_compos_1 @ A @ k1_scmpds_2 ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v1_afinsq_1 @ B ) & ( v2_compos_1 @ B @ k1_scmpds_2 ) ) => ( ( v5_ordinal1 @ ( k1_ordinal4 @ A @ B ) ) & ( v1_relat_1 @ ( k1_ordinal4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_ordinal4 @ A @ B ) ) & ( v2_compos_1 @ ( k1_ordinal4 @ A @ B ) @ k1_scmpds_2 ) ) ) ),file(scmpds_5,fc24_scmpds_5)).
thf(fc26_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( v3_card_1 @ ( k11_finseq_1 @ A @ B @ C ) @ np__3 ) ),file(finseq_1,fc26_finseq_1)).
thf(fc27_scmpds_5,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) & ( v2_compos_1 @ A @ k1_scmpds_2 ) & ( v6_compos_0 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( m1_subset_1 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) ) => ( ~ ( v1_xboole_0 @ ( k3_scmpds_4 @ A @ B ) ) & ( v1_relat_1 @ ( k3_scmpds_4 @ A @ B ) ) & ( v4_relat_1 @ ( k3_scmpds_4 @ A @ B ) @ k5_numbers ) & ( v5_relat_1 @ ( k3_scmpds_4 @ A @ B ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ ( k3_scmpds_4 @ A @ B ) ) & ( v1_finset_1 @ ( k3_scmpds_4 @ A @ B ) ) & ( v1_afinsq_1 @ ( k3_scmpds_4 @ A @ B ) ) & ( v2_compos_1 @ ( k3_scmpds_4 @ A @ B ) @ k1_scmpds_2 ) ) ) ),file(scmpds_5,fc27_scmpds_5)).
thf(fc28_scmpds_5,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v6_compos_0 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( m1_subset_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v6_compos_0 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( m1_subset_1 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) ) => ( ~ ( v1_xboole_0 @ ( k4_scmpds_4 @ A @ B ) ) & ( v1_relat_1 @ ( k4_scmpds_4 @ A @ B ) ) & ( v4_relat_1 @ ( k4_scmpds_4 @ A @ B ) @ k5_numbers ) & ( v5_relat_1 @ ( k4_scmpds_4 @ A @ B ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ ( k4_scmpds_4 @ A @ B ) ) & ( v1_finset_1 @ ( k4_scmpds_4 @ A @ B ) ) & ( v1_afinsq_1 @ ( k4_scmpds_4 @ A @ B ) ) & ( v2_compos_1 @ ( k4_scmpds_4 @ A @ B ) @ k1_scmpds_2 ) ) ) ),file(scmpds_5,fc28_scmpds_5)).
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_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_card_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ( ~ ( v1_xboole_0 @ ( k1_card_1 @ A ) ) & ( v1_card_1 @ ( k1_card_1 @ A ) ) ) ) ),file(card_1,fc2_card_1)).
thf(fc2_card_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_card_1 @ B ) => ( v1_card_3 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(card_3,fc2_card_3)).
thf(fc2_compos_0,axiom,( v1_compos_0 @ ( k1_tarski @ ( k3_xtuple_0 @ np__1 @ k1_xboole_0 @ k1_xboole_0 ) ) ),file(compos_0,fc2_compos_0)).
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_funct_2,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ A ) ) ),file(funct_2,fc2_funct_2)).
thf(fc2_pboole,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( m1_subset_1 @ C @ A ) ) => ~ ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) ),file(pboole,fc2_pboole)).
thf(fc2_scmpds_2,axiom,( ( v2_memstr_0 @ k1_scmpds_2 @ np__2 ) & ( v3_memstr_0 @ k1_scmpds_2 @ np__2 ) & ( v1_extpro_1 @ k1_scmpds_2 @ np__2 ) ),file(scmpds_2,fc2_scmpds_2)).
thf(fc2_scmpds_6,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k5_numbers ) => ( v6_compos_0 @ ( k3_scmpds_2 @ ( k4_xcmplx_0 @ ( k2_nat_1 @ A @ np__1 ) ) ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) ) ),file(scmpds_6,fc2_scmpds_6)).
thf(fc2_scpinvar,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) & ( v2_compos_1 @ A @ k1_scmpds_2 ) & ( v1_ami_2 @ B ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_int_1 @ C ) ) => ( ~ ( v1_xboole_0 @ ( k4_scpinvar @ B @ C @ A ) ) & ( v1_relat_1 @ ( k4_scpinvar @ B @ C @ A ) ) & ( v4_relat_1 @ ( k4_scpinvar @ B @ C @ A ) @ k5_numbers ) & ( v5_relat_1 @ ( k4_scpinvar @ B @ C @ A ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ ( k4_scpinvar @ B @ C @ A ) ) & ( v1_finset_1 @ ( k4_scpinvar @ B @ C @ A ) ) & ( v1_afinsq_1 @ ( k4_scpinvar @ B @ C @ A ) ) & ( v2_compos_1 @ ( k4_scpinvar @ B @ C @ A ) @ k1_scmpds_2 ) ) ) ),file(scpinvar,fc2_scpinvar)).
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_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(fc3_card_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_card_1 @ B ) => ( v1_card_3 @ ( k16_funcop_1 @ A @ B ) ) ) ),file(card_3,fc3_card_3)).
thf(fc3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_xboole_0 @ B ) ) => ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) ),file(funct_2,fc3_funct_2)).
thf(fc3_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) & ~ ( v1_xboole_0 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(funct_4,fc3_funct_4)).
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_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_numbers,axiom,( ~ ( v1_xboole_0 @ k3_numbers ) ),file(numbers,fc3_numbers)).
thf(fc3_scmpds_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v5_funct_1 @ A @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_ami_2 @ B ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ( v1_int_1 @ ( k1_funct_1 @ A @ B ) ) ) ),file(scmpds_2,fc3_scmpds_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(fc4_card_1,axiom,( v1_card_1 @ k4_ordinal1 ),file(card_1,fc4_card_1)).
thf(fc4_card_3,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( v4_funct_1 @ ( k4_card_3 @ A ) ) ) ),file(card_3,fc4_card_3)).
thf(fc4_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) ) ) ) => ( ( v1_funct_1 @ ( k3_relat_1 @ D @ C ) ) & ( v1_funct_2 @ ( k3_relat_1 @ D @ C ) @ A @ B ) ) ) ),file(funct_2,fc4_funct_2)).
thf(fc4_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ B @ A ) ) & ( v1_funct_1 @ ( k1_funct_4 @ B @ A ) ) & ~ ( v1_xboole_0 @ ( k1_funct_4 @ B @ A ) ) ) ) ),file(funct_4,fc4_funct_4)).
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_scmpds_2,axiom,( ( v1_extpro_1 @ k1_scmpds_2 @ np__2 ) & ( v3_extpro_1 @ k1_scmpds_2 @ np__2 ) ),file(scmpds_2,fc4_scmpds_2)).
thf(fc4_scmpds_5,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_ami_2 @ A ) & ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_int_1 @ B ) & ( v1_int_1 @ C ) ) => ( v6_compos_0 @ ( k7_scmpds_2 @ A @ B @ C ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) ) ),file(scmpds_5,fc4_scmpds_5)).
thf(fc55_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v1_valued_0 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(valued_0,fc55_valued_0)).
thf(fc56_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v2_valued_0 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(valued_0,fc56_valued_0)).
thf(fc57_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_relat_1 @ B ) & ( v3_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v3_valued_0 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(valued_0,fc57_valued_0)).
thf(fc58_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ k3_numbers ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v5_relat_1 @ ( k3_relat_1 @ A @ B ) @ k3_numbers ) ) ) ),file(valued_0,fc58_valued_0)).
thf(fc59_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ k4_numbers ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v5_relat_1 @ ( k3_relat_1 @ A @ B ) @ k4_numbers ) ) ) ),file(valued_0,fc59_valued_0)).
thf(fc5_afinsq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_relat_1 @ B ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) ) => ( ( v1_relat_1 @ ( k1_ordinal4 @ A @ B ) ) & ( v5_ordinal1 @ ( k1_ordinal4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_ordinal4 @ A @ B ) ) & ( v1_finset_1 @ ( k1_ordinal4 @ A @ B ) ) ) ) ),file(afinsq_1,fc5_afinsq_1)).
thf(fc5_card_1,axiom,( v2_card_1 @ k4_ordinal1 ),file(card_1,fc5_card_1)).
thf(fc5_card_3,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ~ ( v1_xboole_0 @ ( k4_card_3 @ A ) ) ) ),file(card_3,fc5_card_3)).
thf(fc5_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ B @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ B ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) => ( ( v1_funct_1 @ ( k3_relat_1 @ D @ C ) ) & ( v1_funct_2 @ ( k3_relat_1 @ D @ C ) @ A @ B ) ) ) ),file(funct_2,fc5_funct_2)).
thf(fc5_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v2_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(funct_4,fc5_funct_4)).
thf(fc5_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k1_tarski @ ( k4_tarski @ A @ B ) ) ) ),file(relat_1,fc5_relat_1)).
thf(fc5_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(fc60_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_relat_1 @ B ) & ( v4_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v4_valued_0 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(valued_0,fc60_valued_0)).
thf(fc61_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_valued_0 @ A ) ) => ( v1_xcmplx_0 @ ( k1_funct_1 @ A @ B ) ) ) ),file(valued_0,fc61_valued_0)).
thf(fc62_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) ) => ( v1_xxreal_0 @ ( k1_funct_1 @ A @ B ) ) ) ),file(valued_0,fc62_valued_0)).
thf(fc63_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_valued_0 @ A ) ) => ( v1_xreal_0 @ ( k1_funct_1 @ A @ B ) ) ) ),file(valued_0,fc63_valued_0)).
thf(fc64_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k3_numbers ) & ( v1_funct_1 @ A ) ) => ( v1_rat_1 @ ( k1_funct_1 @ A @ B ) ) ) ),file(valued_0,fc64_valued_0)).
thf(fc65_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k4_numbers ) & ( v1_funct_1 @ A ) ) => ( v1_int_1 @ ( k1_funct_1 @ A @ B ) ) ) ),file(valued_0,fc65_valued_0)).
thf(fc66_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v4_valued_0 @ A ) ) => ( v7_ordinal1 @ ( k1_funct_1 @ A @ B ) ) ) ),file(valued_0,fc66_valued_0)).
thf(fc67_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xcmplx_0 @ B ) => ( v1_valued_0 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(valued_0,fc67_valued_0)).
thf(fc68_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xxreal_0 @ B ) => ( v2_valued_0 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(valued_0,fc68_valued_0)).
thf(fc69_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xreal_0 @ B ) => ( v3_valued_0 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(valued_0,fc69_valued_0)).
thf(fc6_afinsq_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ A ) & ( v5_ordinal1 @ C ) & ( v1_funct_1 @ C ) & ( v1_finset_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_ordinal4 @ B @ C ) ) & ( v5_relat_1 @ ( k1_ordinal4 @ B @ C ) @ A ) & ( v5_ordinal1 @ ( k1_ordinal4 @ B @ C ) ) & ( v1_funct_1 @ ( k1_ordinal4 @ B @ C ) ) ) ) ),file(afinsq_1,fc6_afinsq_1)).
thf(fc6_card_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( ( v1_finset_1 @ ( k1_card_1 @ A ) ) & ( v1_card_1 @ ( k1_card_1 @ A ) ) ) ) ),file(card_1,fc6_card_1)).
thf(fc6_finseq_1,axiom,( ! [A: $i] : ( ( v1_relat_1 @ ( k5_finseq_1 @ A ) ) & ( v1_funct_1 @ ( k5_finseq_1 @ A ) ) ) ),file(finseq_1,fc6_finseq_1)).
thf(fc6_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(fc70_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_rat_1 @ B ) => ( v5_relat_1 @ ( k2_funcop_1 @ A @ B ) @ k3_numbers ) ) ),file(valued_0,fc70_valued_0)).
thf(fc71_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_int_1 @ B ) => ( v5_relat_1 @ ( k2_funcop_1 @ A @ B ) @ k4_numbers ) ) ),file(valued_0,fc71_valued_0)).
thf(fc72_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v7_ordinal1 @ B ) => ( v4_valued_0 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(valued_0,fc72_valued_0)).
thf(fc73_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_valued_0 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(valued_0,fc73_valued_0)).
thf(fc74_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) & ( v2_valued_0 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(valued_0,fc74_valued_0)).
thf(fc75_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v3_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) & ( v3_valued_0 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(valued_0,fc75_valued_0)).
thf(fc76_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k3_numbers ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ k3_numbers ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v5_relat_1 @ ( k1_funct_4 @ A @ B ) @ k3_numbers ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(valued_0,fc76_valued_0)).
thf(fc77_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k4_numbers ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ k4_numbers ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v5_relat_1 @ ( k1_funct_4 @ A @ B ) @ k4_numbers ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(valued_0,fc77_valued_0)).
thf(fc78_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v4_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v4_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) & ( v4_valued_0 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(valued_0,fc78_valued_0)).
thf(fc79_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xcmplx_0 @ B ) => ( v1_valued_0 @ ( k16_funcop_1 @ A @ B ) ) ) ),file(valued_0,fc79_valued_0)).
thf(fc7_card_1,axiom,( ~ ( v1_finset_1 @ k4_ordinal1 ) ),file(card_1,fc7_card_1)).
thf(fc7_card_3,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( v2_card_3 @ ( k1_tarski @ A ) ) ) ),file(card_3,fc7_card_3)).
thf(fc7_finseq_1,axiom,( ! [A: $i] : ( v1_finseq_1 @ ( k5_finseq_1 @ A ) ) ),file(finseq_1,fc7_finseq_1)).
thf(fc7_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v2_funct_1 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(funct_1,fc7_funct_1)).
thf(fc7_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ B @ C ) ) & ( v4_relat_1 @ ( k1_funct_4 @ B @ C ) @ A ) & ( v1_funct_1 @ ( k1_funct_4 @ B @ C ) ) ) ) ),file(funct_4,fc7_funct_4)).
thf(fc7_numbers,axiom,( ~ ( v1_finset_1 @ k3_numbers ) ),file(numbers,fc7_numbers)).
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(fc80_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xxreal_0 @ B ) => ( v2_valued_0 @ ( k16_funcop_1 @ A @ B ) ) ) ),file(valued_0,fc80_valued_0)).
thf(fc81_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xreal_0 @ B ) => ( v3_valued_0 @ ( k16_funcop_1 @ A @ B ) ) ) ),file(valued_0,fc81_valued_0)).
thf(fc82_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_rat_1 @ B ) => ( v5_relat_1 @ ( k16_funcop_1 @ A @ B ) @ k3_numbers ) ) ),file(valued_0,fc82_valued_0)).
thf(fc83_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_int_1 @ B ) => ( v5_relat_1 @ ( k16_funcop_1 @ A @ B ) @ k4_numbers ) ) ),file(valued_0,fc83_valued_0)).
thf(fc84_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v7_ordinal1 @ B ) => ( v4_valued_0 @ ( k16_funcop_1 @ A @ B ) ) ) ),file(valued_0,fc84_valued_0)).
thf(fc8_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ( ~ ( v1_finset_1 @ ( k1_card_1 @ A ) ) & ( v1_card_1 @ ( k1_card_1 @ A ) ) ) ) ),file(card_1,fc8_card_1)).
thf(fc8_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ E ) & ( v1_funct_2 @ E @ B @ C ) & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ C ) ) ) ) => ( ( v1_funct_1 @ ( k3_relat_1 @ D @ E ) ) & ( v1_funct_2 @ ( k3_relat_1 @ D @ E ) @ A @ C ) ) ) ),file(funct_2,fc8_funct_2)).
thf(fc8_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ B @ C ) ) & ( v4_relat_1 @ ( k1_funct_4 @ B @ C ) @ A ) & ( v1_funct_1 @ ( k1_funct_4 @ B @ C ) ) & ( v1_partfun1 @ ( k1_funct_4 @ B @ C ) @ A ) ) ) ),file(funct_4,fc8_funct_4)).
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(fc90_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v6_membered @ B ) => ( v4_valued_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(valued_0,fc90_valued_0)).
thf(fc91_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v5_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_valued_0 @ B ) & ( v5_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v5_valued_0 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(valued_0,fc91_valued_0)).
thf(fc92_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v7_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_valued_0 @ B ) & ( v7_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v7_valued_0 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(valued_0,fc92_valued_0)).
thf(fc93_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v6_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_valued_0 @ B ) & ( v6_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v5_valued_0 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(valued_0,fc93_valued_0)).
thf(fc94_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v8_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_valued_0 @ B ) & ( v8_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v7_valued_0 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(valued_0,fc94_valued_0)).
thf(fc95_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v6_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_valued_0 @ B ) & ( v5_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v6_valued_0 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(valued_0,fc95_valued_0)).
thf(fc96_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v6_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_valued_0 @ B ) & ( v5_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ B @ A ) ) & ( v6_valued_0 @ ( k3_relat_1 @ B @ A ) ) ) ) ),file(valued_0,fc96_valued_0)).
thf(fc97_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v8_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_valued_0 @ B ) & ( v7_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v8_valued_0 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(valued_0,fc97_valued_0)).
thf(fc98_valued_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_valued_0 @ A ) & ( v8_valued_0 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_valued_0 @ B ) & ( v7_valued_0 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ B @ A ) ) & ( v8_valued_0 @ ( k3_relat_1 @ B @ A ) ) ) ) ),file(valued_0,fc98_valued_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_card_3,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( v3_card_3 @ ( k4_card_3 @ A ) ) ) ),file(card_3,fc9_card_3)).
thf(fc9_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( v1_relat_1 @ ( k11_finseq_1 @ A @ B @ C ) ) & ( v1_funct_1 @ ( k11_finseq_1 @ A @ B @ C ) ) ) ),file(finseq_1,fc9_finseq_1)).
thf(fc9_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ C @ B ) ) & ( v4_relat_1 @ ( k1_funct_4 @ C @ B ) @ A ) & ( v1_funct_1 @ ( k1_funct_4 @ C @ B ) ) & ( v1_partfun1 @ ( k1_funct_4 @ C @ B ) @ A ) ) ) ),file(funct_4,fc9_funct_4)).
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_scmpds_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) & ( v3_scmpds_4 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v1_afinsq_1 @ B ) & ( v3_scmpds_4 @ B ) ) => ( ~ ( v1_xboole_0 @ ( k1_ordinal4 @ A @ B ) ) & ( v1_relat_1 @ ( k1_ordinal4 @ A @ B ) ) & ( v4_relat_1 @ ( k1_ordinal4 @ A @ B ) @ k5_numbers ) & ( v5_relat_1 @ ( k1_ordinal4 @ A @ B ) @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ ( k1_ordinal4 @ A @ B ) ) & ( v1_finset_1 @ ( k1_ordinal4 @ A @ B ) ) & ( v1_afinsq_1 @ ( k1_ordinal4 @ A @ B ) ) & ( v3_scmpds_4 @ ( k1_ordinal4 @ A @ B ) ) ) ) ),file(scmpds_4,fc9_scmpds_4)).
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_k1_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( = @ ( k1_funct_4 @ A @ A ) @ A ) ) ),file(funct_4,k1_funct_4)).
thf(ie1_afinsq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) => ( = @ ( k1_card_1 @ A ) @ ( k9_xtuple_0 @ A ) ) ) ),file(afinsq_1,ie1_afinsq_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(projectivity_k16_complex1,axiom,( ! [A: $i] : ( ( v1_xcmplx_0 @ A ) => ( = @ ( k16_complex1 @ ( k16_complex1 @ A ) ) @ ( k16_complex1 @ A ) ) ) ),file(complex1,k16_complex1)).
thf(projectivity_k1_card_1,axiom,( ! [A: $i] : ( = @ ( k1_card_1 @ ( k1_card_1 @ A ) ) @ ( k1_card_1 @ A ) ) ),file(card_1,k1_card_1)).
thf(projectivity_k1_int_2,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( = @ ( k1_int_2 @ ( k1_int_2 @ A ) ) @ ( k1_int_2 @ A ) ) ) ),file(int_2,k1_int_2)).
thf(projectivity_k5_card_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( = @ ( k5_card_1 @ ( k5_card_1 @ A ) ) @ ( k5_card_1 @ A ) ) ) ),file(card_1,k5_card_1)).
thf(projectivity_k8_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 ) ) ) => ( = @ ( k8_memstr_0 @ A @ B @ ( k8_memstr_0 @ A @ B @ C ) ) @ ( k8_memstr_0 @ A @ B @ C ) ) ) ),file(memstr_0,k8_memstr_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_afinsq_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) ) ),file(afinsq_1,rc1_afinsq_1)).
thf(rc1_card_1,axiom,( ? [A: $i] : ( v1_card_1 @ A ) ),file(card_1,rc1_card_1)).
thf(rc1_card_3,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_card_3 @ A ) ) ),file(card_3,rc1_card_3)).
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_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(rc1_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) ) ),file(funct_2,rc1_funct_2)).
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_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_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(pboole,rc1_pboole)).
thf(rc1_relat_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) ),file(relat_1,rc1_relat_1)).
thf(rc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ),file(relset_1,rc1_relset_1)).
thf(rc1_scmpds_2,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_ami_2 @ A ) ) ),file(scmpds_2,rc1_scmpds_2)).
thf(rc1_setfam_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) ),file(setfam_1,rc1_setfam_1)).
thf(rc1_valued_0,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v4_valued_0 @ A ) ) ),file(valued_0,rc1_valued_0)).
thf(rc1_valued_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_valued_0 @ A ) & ( v1_finseq_1 @ A ) ) ),file(valued_1,rc1_valued_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(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_afinsq_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) ) ),file(afinsq_1,rc2_afinsq_1)).
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_compos_1,axiom,( ! [A: $i] : ( ( l1_compos_1 @ A ) => ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ A ) ) & ( v1_funct_1 @ B ) & ( v3_card_1 @ B @ np__1 ) & ( v1_afinsq_1 @ B ) ) ) ),file(compos_1,rc2_compos_1)).
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_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_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_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(pboole,rc2_pboole)).
thf(rc2_relat_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ),file(relat_1,rc2_relat_1)).
thf(rc2_setfam_1,axiom,( ? [A: $i] : ~ ( v2_setfam_1 @ A ) ),file(setfam_1,rc2_setfam_1)).
thf(rc2_valued_0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ k3_numbers ) & ( v5_relat_1 @ A @ k4_numbers ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) & ( v4_valued_0 @ A ) ) ),file(valued_0,rc2_valued_0)).
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(rc3_afinsq_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) ) ) ),file(afinsq_1,rc3_afinsq_1)).
thf(rc3_card_1,axiom,( ? [A: $i] : ~ ( v1_finset_1 @ A ) ),file(card_1,rc3_card_1)).
thf(rc3_card_3,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v4_funct_1 @ A ) & ( v2_card_3 @ A ) ) ),file(card_3,rc3_card_3)).
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_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_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_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(pboole,rc3_pboole)).
thf(rc3_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ),file(relat_1,rc3_relat_1)).
thf(rc3_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_0,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ k5_numbers ) ) ) & ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ( v1_partfun1 @ A @ k5_numbers ) & ( v1_funct_2 @ A @ k5_numbers @ k5_numbers ) & ( v1_valued_0 @ A ) & ( v2_valued_0 @ A ) & ( v3_valued_0 @ A ) & ( v4_valued_0 @ A ) & ( v5_valued_0 @ A ) ) ),file(valued_0,rc3_valued_0)).
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(rc4_afinsq_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v5_ordinal1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v3_card_1 @ B @ A ) ) ) ),file(afinsq_1,rc4_afinsq_1)).
thf(rc4_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_finset_1 @ B ) ) ) ),file(card_1,rc4_card_1)).
thf(rc4_card_3,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v3_card_3 @ A ) ) ),file(card_3,rc4_card_3)).
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_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_0,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 ) & ( v3_funct_1 @ B ) & ( v1_funct_2 @ B @ k5_numbers @ A ) ) ),file(valued_0,rc4_valued_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(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_card_3,axiom,( ? [A: $i] : ( v5_card_3 @ A ) ),file(card_3,rc5_card_3)).
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_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_valued_0,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ k5_numbers ) & ( v1_funct_2 @ B @ k5_numbers @ A ) ) ) ),file(valued_0,rc5_valued_0)).
thf(rc5_valued_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v5_relat_1 @ B @ k3_numbers ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_valued_0 @ B ) & ( v2_valued_0 @ B ) & ( v3_valued_0 @ B ) & ( v4_valued_0 @ B ) ) ),file(valued_1,rc5_valued_1)).
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_card_3,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v1_finset_1 @ A ) ) ),file(card_3,rc6_card_3)).
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_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_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 ) & ( v7_ordinal1 @ C ) ) => ? [D: $i] : ( ~ ( v1_xboole_0 @ D ) & ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ D ) & ( v5_funct_1 @ D @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ D @ ( u1_struct_0 @ B ) ) & ( v5_memstr_0 @ D @ A @ B @ C ) ) ) ),file(memstr_0,rc6_memstr_0)).
thf(rc6_pboole,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ B ) & ( v1_partfun1 @ C @ A ) ) ) ),file(pboole,rc6_pboole)).
thf(rc6_valued_0,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v4_valued_0 @ B ) ) ),file(valued_0,rc6_valued_0)).
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_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_pboole,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ B ) & ( v5_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ B ) ) ) ),file(pboole,rc7_pboole)).
thf(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_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(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_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(rd1_afinsq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) => ( = @ ( k1_ordinal4 @ A @ k1_xboole_0 ) @ A ) ) ),file(afinsq_1,rd1_afinsq_1)).
thf(rd1_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) ) => ( = @ ( k1_funct_4 @ B @ A ) @ A ) ) ),file(funct_4,rd1_funct_4)).
thf(rd2_afinsq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_ordinal1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) => ( = @ ( k1_ordinal4 @ k1_xboole_0 @ A ) @ A ) ) ),file(afinsq_1,rd2_afinsq_1)).
thf(rd2_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) ) => ( = @ ( k1_funct_4 @ A @ B ) @ A ) ) ),file(funct_4,rd2_funct_4)).
thf(rd3_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( = @ ( k1_funct_4 @ ( k1_funct_4 @ A @ B ) @ B ) @ ( k1_funct_4 @ A @ B ) ) ) ),file(funct_4,rd3_funct_4)).
thf(redefinition_k1_int_2,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( = @ ( k1_int_2 @ A ) @ ( k16_complex1 @ A ) ) ) ),file(int_2,k1_int_2)).
thf(redefinition_k1_scmpds_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_afinsq_1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v1_afinsq_1 @ B ) ) => ( = @ ( k1_scmpds_4 @ A @ B ) @ ( k1_ordinal4 @ A @ B ) ) ) ),file(scmpds_4,k1_scmpds_4)).
thf(redefinition_k2_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_subset_1 @ A @ k5_numbers ) & ( v7_ordinal1 @ B ) ) => ( = @ ( k2_nat_1 @ A @ B ) @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(nat_1,k2_nat_1)).
thf(redefinition_k3_real_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xreal_0 @ A ) & ( m1_subset_1 @ B @ k1_numbers ) ) => ( = @ ( k3_real_1 @ A @ B ) @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(real_1,k3_real_1)).
thf(redefinition_k5_card_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( = @ ( k5_card_1 @ A ) @ ( k1_card_1 @ A ) ) ) ),file(card_1,k5_card_1)).
thf(redefinition_k5_numbers,axiom,( = @ k5_numbers @ k4_ordinal1 ),file(numbers,k5_numbers)).
thf(redefinition_k6_numbers,axiom,( = @ k6_numbers @ k1_xboole_0 ),file(numbers,k6_numbers)).
thf(redefinition_k7_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k7_funcop_1 @ A @ B ) @ ( k2_funcop_1 @ A @ B ) ) ),file(funcop_1,k7_funcop_1)).
thf(redefinition_k9_finseq_1,axiom,( ! [A: $i] : ( = @ ( k9_finseq_1 @ A ) @ ( k5_finseq_1 @ A ) ) ),file(finseq_1,k9_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(reflexivity_r1_xxreal_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xxreal_0 @ A ) & ( v1_xxreal_0 @ B ) ) => ( r1_xxreal_0 @ A @ A ) ) ),file(xxreal_0,r1_xxreal_0)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r0,axiom,( r1_xxreal_0 @ np__0 @ np__0 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r0_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r1,axiom,( r1_xxreal_0 @ np__0 @ np__1 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r0_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r14,axiom,( r1_xxreal_0 @ np__0 @ np__14 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r0_r14)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r2,axiom,( r1_xxreal_0 @ np__0 @ np__2 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r0_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r3,axiom,( r1_xxreal_0 @ np__0 @ np__3 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r0_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r4,axiom,( r1_xxreal_0 @ np__0 @ np__4 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r0_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm1,axiom,( ~ ( r1_xxreal_0 @ np__0 @ ( k4_xcmplx_0 @ np__1 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r0_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm2,axiom,( ~ ( r1_xxreal_0 @ np__0 @ ( k4_xcmplx_0 @ np__2 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r0_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm3,axiom,( ~ ( r1_xxreal_0 @ np__0 @ ( k4_xcmplx_0 @ np__3 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r0_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm4,axiom,( ~ ( r1_xxreal_0 @ np__0 @ ( k4_xcmplx_0 @ np__4 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r0_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r14_r0,axiom,( ~ ( r1_xxreal_0 @ np__14 @ np__0 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r14_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r14_r1,axiom,( ~ ( r1_xxreal_0 @ np__14 @ np__1 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r14_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r14_r14,axiom,( r1_xxreal_0 @ np__14 @ np__14 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r14_r14)).
thf(rqLessOrEqual__r1_xxreal_0__r14_r2,axiom,( ~ ( r1_xxreal_0 @ np__14 @ np__2 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r14_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r14_r3,axiom,( ~ ( r1_xxreal_0 @ np__14 @ np__3 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r14_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r14_r4,axiom,( ~ ( r1_xxreal_0 @ np__14 @ np__4 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r14_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r14_rm1,axiom,( ~ ( r1_xxreal_0 @ np__14 @ ( k4_xcmplx_0 @ np__1 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r14_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r0,axiom,( ~ ( r1_xxreal_0 @ np__1 @ np__0 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r1_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r1,axiom,( r1_xxreal_0 @ np__1 @ np__1 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r1_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r14,axiom,( r1_xxreal_0 @ np__1 @ np__14 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r1_r14)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r2,axiom,( r1_xxreal_0 @ np__1 @ np__2 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r1_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r3,axiom,( r1_xxreal_0 @ np__1 @ np__3 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r1_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r4,axiom,( r1_xxreal_0 @ np__1 @ np__4 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r1_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm1,axiom,( ~ ( r1_xxreal_0 @ np__1 @ ( k4_xcmplx_0 @ np__1 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r1_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm2,axiom,( ~ ( r1_xxreal_0 @ np__1 @ ( k4_xcmplx_0 @ np__2 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r1_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm3,axiom,( ~ ( r1_xxreal_0 @ np__1 @ ( k4_xcmplx_0 @ np__3 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r1_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm4,axiom,( ~ ( r1_xxreal_0 @ np__1 @ ( k4_xcmplx_0 @ np__4 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r1_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r0,axiom,( ~ ( r1_xxreal_0 @ np__2 @ np__0 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r1,axiom,( ~ ( r1_xxreal_0 @ np__2 @ np__1 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r14,axiom,( r1_xxreal_0 @ np__2 @ np__14 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r2_r14)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r2,axiom,( r1_xxreal_0 @ np__2 @ np__2 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r3,axiom,( r1_xxreal_0 @ np__2 @ np__3 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r4,axiom,( r1_xxreal_0 @ np__2 @ np__4 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm1,axiom,( ~ ( r1_xxreal_0 @ np__2 @ ( k4_xcmplx_0 @ np__1 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm2,axiom,( ~ ( r1_xxreal_0 @ np__2 @ ( k4_xcmplx_0 @ np__2 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm3,axiom,( ~ ( r1_xxreal_0 @ np__2 @ ( k4_xcmplx_0 @ np__3 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r2_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm4,axiom,( ~ ( r1_xxreal_0 @ np__2 @ ( k4_xcmplx_0 @ np__4 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r2_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r0,axiom,( ~ ( r1_xxreal_0 @ np__3 @ np__0 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r1,axiom,( ~ ( r1_xxreal_0 @ np__3 @ np__1 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r14,axiom,( r1_xxreal_0 @ np__3 @ np__14 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r3_r14)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r2,axiom,( ~ ( r1_xxreal_0 @ np__3 @ np__2 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r3,axiom,( r1_xxreal_0 @ np__3 @ np__3 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r3_r4,axiom,( r1_xxreal_0 @ np__3 @ np__4 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r3_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rm1,axiom,( ~ ( r1_xxreal_0 @ np__3 @ ( k4_xcmplx_0 @ np__1 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rm2,axiom,( ~ ( r1_xxreal_0 @ np__3 @ ( k4_xcmplx_0 @ np__2 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r3_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r3_rm3,axiom,( ~ ( r1_xxreal_0 @ np__3 @ ( k4_xcmplx_0 @ np__3 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r3_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r0,axiom,( ~ ( r1_xxreal_0 @ np__4 @ np__0 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r1,axiom,( ~ ( r1_xxreal_0 @ np__4 @ np__1 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r14,axiom,( r1_xxreal_0 @ np__4 @ np__14 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r4_r14)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r2,axiom,( ~ ( r1_xxreal_0 @ np__4 @ np__2 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r3,axiom,( ~ ( r1_xxreal_0 @ np__4 @ np__3 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r4_r3)).
thf(rqLessOrEqual__r1_xxreal_0__r4_r4,axiom,( r1_xxreal_0 @ np__4 @ np__4 ),file(arithm,rqLessOrEqual__r1_xxreal_0__r4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm1,axiom,( ~ ( r1_xxreal_0 @ np__4 @ ( k4_xcmplx_0 @ np__1 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm2,axiom,( ~ ( r1_xxreal_0 @ np__4 @ ( k4_xcmplx_0 @ np__2 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r4_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm3,axiom,( ~ ( r1_xxreal_0 @ np__4 @ ( k4_xcmplx_0 @ np__3 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r4_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__r4_rm4,axiom,( ~ ( r1_xxreal_0 @ np__4 @ ( k4_xcmplx_0 @ np__4 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__r4_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r0,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__1 ) @ np__0 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm1_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r1,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__1 ) @ np__1 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm1_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r14,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__1 ) @ np__14 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm1_r14)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r2,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__1 ) @ np__2 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm1_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r3,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__1 ) @ np__3 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm1_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r4,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__1 ) @ np__4 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm1_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm1,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__1 ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm1_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm2,axiom,( ~ ( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__1 ) @ ( k4_xcmplx_0 @ np__2 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm1_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm3,axiom,( ~ ( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__1 ) @ ( k4_xcmplx_0 @ np__3 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm1_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm4,axiom,( ~ ( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__1 ) @ ( k4_xcmplx_0 @ np__4 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm1_rm4)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r0,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__2 ) @ np__0 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r1,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__2 ) @ np__1 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r2,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__2 ) @ np__2 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r3,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__2 ) @ np__3 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm2_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r4,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__2 ) @ np__4 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm2_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm1,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__2 ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm2,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__2 ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm3,axiom,( ~ ( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__2 ) @ ( k4_xcmplx_0 @ np__3 ) ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm2_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r0,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__0 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm3_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r1,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__1 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm3_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r2,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__2 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm3_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r3,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__3 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm3_r3)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_r4,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__3 ) @ np__4 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm3_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rm1,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__3 ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm3_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rm2,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__3 ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm3_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm3_rm3,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__3 ) @ ( k4_xcmplx_0 @ np__3 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm3_rm3)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r0,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__4 ) @ np__0 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm4_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r1,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__4 ) @ np__1 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm4_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r2,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__4 ) @ np__2 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm4_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_r4,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__4 ) @ np__4 ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm4_r4)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_rm1,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__4 ) @ ( k4_xcmplx_0 @ np__1 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm4_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_rm2,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__4 ) @ ( k4_xcmplx_0 @ np__2 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm4_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm4_rm4,axiom,( r1_xxreal_0 @ ( k4_xcmplx_0 @ np__4 ) @ ( k4_xcmplx_0 @ np__4 ) ),file(arithm,rqLessOrEqual__r1_xxreal_0__rm4_rm4)).
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__r14_rm14_r0,axiom,( = @ ( k2_xcmplx_0 @ np__14 @ ( k4_xcmplx_0 @ np__14 ) ) @ np__0 ),file(arithm,rqRealAdd__k2_xcmplx_0__r14_rm14_r0)).
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__rm14_r14_r0,axiom,( = @ ( k2_xcmplx_0 @ ( k4_xcmplx_0 @ np__14 ) @ np__14 ) @ np__0 ),file(arithm,rqRealAdd__k2_xcmplx_0__rm14_r14_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(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__r14_rm14,axiom,( = @ ( k4_xcmplx_0 @ np__14 ) @ ( k4_xcmplx_0 @ np__14 ) ),file(arithm,rqRealNeg__k4_xcmplx_0__r14_rm14)).
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__rm14_r14,axiom,( = @ ( k4_xcmplx_0 @ ( k4_xcmplx_0 @ np__14 ) ) @ np__14 ),file(arithm,rqRealNeg__k4_xcmplx_0__rm14_r14)).
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(spc14_boole,axiom,( ~ ( v1_xboole_0 @ np__14 ) ),file(boole,spc14_boole)).
thf(spc14_numerals,axiom,( ( v2_xxreal_0 @ np__14 ) & ( m2_subset_1 @ np__14 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__14 @ k5_numbers ) & ( m1_subset_1 @ np__14 @ k1_numbers ) ),file(numerals,spc14_numerals)).
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_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(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(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(t15_scmpds_5,axiom,( ! [A: $i] : ( ( ( v1_ami_2 @ A ) & ( m1_subset_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ B ) & ( v5_funct_1 @ B @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ( = @ ( k1_funct_1 @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ B ) @ A ) @ ( k1_funct_1 @ B @ A ) ) ) ) ),file(scmpds_5,t15_scmpds_5)).
thf(t15_scpinvar,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v5_relat_1 @ A @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v1_partfun1 @ A @ k5_numbers ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ B ) & ( v5_funct_1 @ B @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ! [C: $i] : ( ( ~ ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ k5_numbers ) & ( v5_relat_1 @ C @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ C ) & ( v1_finset_1 @ C ) & ( v1_afinsq_1 @ C ) ) => ! [D: $i] : ( ( ( v1_ami_2 @ D ) & ( m1_subset_1 @ D @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ! [E: $i] : ( ( ( v1_ami_2 @ E ) & ( m1_subset_1 @ E @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ! [F: $i] : ( ( v1_int_1 @ F ) => ( ( = @ ( k1_funct_1 @ B @ ( k2_scmpds_2 @ ( k1_funct_1 @ B @ D ) @ F ) ) @ k6_numbers ) => ( = @ ( k1_funct_1 @ ( k6_scmpds_4 @ ( k4_scpinvar @ D @ F @ C ) @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ B ) @ A ) @ E ) @ ( k1_funct_1 @ B @ E ) ) ) ) ) ) ) ) ) ),file(scpinvar,t15_scpinvar)).
thf(t1_arithm,axiom,( ! [A: $i] : ( ( v1_xcmplx_0 @ A ) => ( = @ ( k2_xcmplx_0 @ A @ k6_numbers ) @ A ) ) ),file(arithm,t1_arithm)).
thf(t1_numerals,axiom,( m1_subset_1 @ k1_xboole_0 @ k4_ordinal1 ),file(numerals,t1_numerals)).
thf(t1_real,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ! [B: $i] : ( ( v1_xreal_0 @ B ) => ( ( ( r1_xxreal_0 @ A @ B ) & ( v2_xxreal_0 @ A ) ) => ( v2_xxreal_0 @ B ) ) ) ) ),file(real,t1_real)).
thf(t1_subset,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ( m1_subset_1 @ A @ B ) ) ),file(subset,t1_subset)).
thf(t1_xxreal_0,axiom,( ! [A: $i] : ( ( v1_xxreal_0 @ A ) => ! [B: $i] : ( ( v1_xxreal_0 @ B ) => ( ( ( r1_xxreal_0 @ A @ B ) & ( r1_xxreal_0 @ B @ A ) ) => ( = @ A @ B ) ) ) ) ),file(xxreal_0,t1_xxreal_0)).
thf(t2_nat_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( r1_xxreal_0 @ k6_numbers @ A ) ) ),file(nat_1,t2_nat_1)).
thf(t2_real,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ! [B: $i] : ( ( v1_xreal_0 @ B ) => ( ( ( r1_xxreal_0 @ A @ B ) & ( v3_xxreal_0 @ B ) ) => ( v3_xxreal_0 @ A ) ) ) ) ),file(real,t2_real)).
thf(t2_subset,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ A @ B ) => ( ( v1_xboole_0 @ B ) | ( r2_hidden @ A @ B ) ) ) ),file(subset,t2_subset)).
thf(t2_xxreal_0,axiom,( ! [A: $i] : ( ( v1_xxreal_0 @ A ) => ! [B: $i] : ( ( v1_xxreal_0 @ B ) => ! [C: $i] : ( ( v1_xxreal_0 @ C ) => ( ( ( r1_xxreal_0 @ A @ B ) & ( r1_xxreal_0 @ B @ C ) ) => ( r1_xxreal_0 @ A @ C ) ) ) ) ) ),file(xxreal_0,t2_xxreal_0)).
thf(t3_real,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ! [B: $i] : ( ( v1_xreal_0 @ B ) => ~ ( ( r1_xxreal_0 @ A @ B ) & ~ ( v3_xxreal_0 @ A ) & ( v3_xxreal_0 @ B ) ) ) ) ),file(real,t3_real)).
thf(t3_subset,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) ) <=> ( r1_tarski @ A @ B ) ) ),file(subset,t3_subset)).
thf(t44_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 ) ) & ( v5_memstr_0 @ C @ A @ B @ k6_numbers ) ) => ( = @ ( k8_memstr_0 @ A @ B @ C ) @ C ) ) ) ) ),file(memstr_0,t44_memstr_0)).
thf(t4_real,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ! [B: $i] : ( ( v1_xreal_0 @ B ) => ~ ( ( r1_xxreal_0 @ A @ B ) & ~ ( v2_xxreal_0 @ B ) & ( v2_xxreal_0 @ A ) ) ) ) ),file(real,t4_real)).
thf(t4_scpisort,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v5_funct_1 @ A @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ B ) & ( v5_funct_1 @ B @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ( ! [C: $i] : ( ( ( v1_ami_2 @ C ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ k1_scmpds_2 ) ) ) => ( = @ ( k1_funct_1 @ A @ C ) @ ( k1_funct_1 @ B @ C ) ) ) => ( = @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ A ) @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ B ) ) ) ) ) ),file(scpisort,t4_scpisort)).
thf(t4_subset,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( r2_hidden @ A @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) ) => ( m1_subset_1 @ A @ C ) ) ),file(subset,t4_subset)).
thf(t5_real,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ! [B: $i] : ( ( v1_xreal_0 @ B ) => ( ( r1_xxreal_0 @ A @ B ) => ( ( v1_xboole_0 @ B ) | ( v3_xxreal_0 @ A ) | ( v2_xxreal_0 @ B ) ) ) ) ) ),file(real,t5_real)).
thf(t5_subset,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ~ ( ( r2_hidden @ A @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) & ( v1_xboole_0 @ C ) ) ),file(subset,t5_subset)).
thf(t6_boole,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( = @ A @ k1_xboole_0 ) ) ),file(boole,t6_boole)).
thf(t6_real,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ! [B: $i] : ( ( v1_xreal_0 @ B ) => ( ( r1_xxreal_0 @ A @ B ) => ( ( v1_xboole_0 @ A ) | ( v2_xxreal_0 @ B ) | ( v3_xxreal_0 @ A ) ) ) ) ) ),file(real,t6_real)).
thf(t6_xreal_1,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ! [B: $i] : ( ( v1_xreal_0 @ B ) => ! [C: $i] : ( ( v1_xreal_0 @ C ) => ( ( r1_xxreal_0 @ A @ B ) <=> ( r1_xxreal_0 @ ( k2_xcmplx_0 @ A @ C ) @ ( k2_xcmplx_0 @ B @ C ) ) ) ) ) ) ),file(xreal_1,t6_xreal_1)).
thf(t7_boole,axiom,( ! [A: $i] : ! [B: $i] : ~ ( ( r2_hidden @ A @ B ) & ( v1_xboole_0 @ B ) ) ),file(boole,t7_boole)).
thf(t7_int_1,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ! [B: $i] : ( ( v1_int_1 @ B ) => ( ~ ( r1_xxreal_0 @ B @ A ) => ( r1_xxreal_0 @ ( k3_real_1 @ A @ np__1 ) @ B ) ) ) ) ),file(int_1,t7_int_1)).
thf(t7_real,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ! [B: $i] : ( ( v1_xreal_0 @ B ) => ~ ( ~ ( r1_xxreal_0 @ A @ B ) & ~ ( v2_xxreal_0 @ A ) & ~ ( v3_xxreal_0 @ B ) ) ) ) ),file(real,t7_real)).
thf(t8_boole,axiom,( ! [A: $i] : ! [B: $i] : ~ ( ( v1_xboole_0 @ A ) & ~ ( = @ A @ B ) & ( v1_xboole_0 @ B ) ) ),file(boole,t8_boole)).
thf(t8_real,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ! [B: $i] : ( ( v1_xreal_0 @ B ) => ~ ( ~ ( r1_xxreal_0 @ A @ B ) & ~ ( v3_xxreal_0 @ B ) & ~ ( v2_xxreal_0 @ A ) ) ) ) ),file(real,t8_real)).
thf(s1_nat_1,axiom,( ! [A: $i > $o] : ( ( ( A @ k6_numbers ) & ! [B: $i] : ( ( m2_subset_1 @ B @ k1_numbers @ k5_numbers ) => ( ( A @ B ) => ( A @ ( k2_nat_1 @ B @ np__1 ) ) ) ) ) => ! [B: $i] : ( ( m2_subset_1 @ B @ k1_numbers @ k5_numbers ) => ( A @ B ) ) ) ),file(nat_1,s1_nat_1)).
thf(s4_scpinvar,axiom,( ! [A: $i > $o] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ! [G: $i > $i] : ( ( ! [H: $i] : ( m2_subset_1 @ ( G @ H ) @ k1_numbers @ k5_numbers ) & ( v1_relat_1 @ F ) & ( v4_relat_1 @ F @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ F ) & ( v5_funct_1 @ F @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ F @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v5_memstr_0 @ F @ np__2 @ k1_scmpds_2 @ k6_numbers ) & ( v1_relat_1 @ E ) & ( v4_relat_1 @ E @ k5_numbers ) & ( v5_relat_1 @ E @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ E ) & ( v1_partfun1 @ E @ k5_numbers ) & ~ ( v1_xboole_0 @ D ) & ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ k5_numbers ) & ( v5_relat_1 @ D @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ D ) & ( v1_finset_1 @ D ) & ( v1_afinsq_1 @ D ) & ( v2_compos_1 @ D @ k1_scmpds_2 ) & ( v3_scmpds_4 @ D ) & ( v1_ami_2 @ C ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_int_1 @ B ) ) => ( ( ~ ( = @ ( k1_funct_1 @ F @ ( k2_scmpds_2 @ ( k1_funct_1 @ F @ C ) @ B ) ) @ k6_numbers ) & ! [I: $i] : ( ( ( v1_relat_1 @ I ) & ( v4_relat_1 @ I @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ I ) & ( v5_funct_1 @ I @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ I @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v5_memstr_0 @ I @ np__2 @ k1_scmpds_2 @ k6_numbers ) ) => ( ( ( A @ I ) & ( = @ ( G @ I ) @ k6_numbers ) ) => ( = @ ( k1_funct_1 @ I @ ( k2_scmpds_2 @ ( k1_funct_1 @ F @ C ) @ B ) ) @ k6_numbers ) ) ) & ( A @ F ) & ! [I: $i] : ( ( ( v1_relat_1 @ I ) & ( v4_relat_1 @ I @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ I ) & ( v5_funct_1 @ I @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ I @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v5_memstr_0 @ I @ np__2 @ k1_scmpds_2 @ k6_numbers ) ) => ! [J: $i] : ( ( ( v1_relat_1 @ J ) & ( v4_relat_1 @ J @ k5_numbers ) & ( v5_relat_1 @ J @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ J ) & ( v1_partfun1 @ J @ k5_numbers ) ) => ( ( ( A @ I ) & ( = @ ( k1_funct_1 @ I @ C ) @ ( k1_funct_1 @ F @ C ) ) ) => ( ( = @ ( k1_funct_1 @ I @ ( k2_scmpds_2 @ ( k1_funct_1 @ F @ C ) @ B ) ) @ k6_numbers ) | ( ( = @ ( k1_funct_1 @ ( k6_scmpds_4 @ D @ I @ J ) @ C ) @ ( k1_funct_1 @ I @ C ) ) & ( r1_scmpds_6 @ D @ I @ J ) & ( r2_scmpds_6 @ D @ I @ J ) & ~ ( r1_xxreal_0 @ ( G @ I ) @ ( G @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ ( k6_scmpds_4 @ D @ I @ J ) ) ) ) & ( A @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ ( k6_scmpds_4 @ D @ I @ J ) ) ) ) ) ) ) ) ) => ( = @ ( k6_scmpds_4 @ ( k4_scpinvar @ C @ B @ D ) @ F @ E ) @ ( k6_scmpds_4 @ ( k4_scpinvar @ C @ B @ D ) @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ ( k6_scmpds_4 @ D @ F @ E ) ) @ E ) ) ) ) ),file(scpinvar,s4_scpinvar)).
thf(s5_scpinvar,conjecture,( ( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v5_funct_1 @ A @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v5_memstr_0 @ A @ np__2 @ k1_scmpds_2 @ k6_numbers ) ) => ( ( p1_s5_scpinvar @ A ) => ( ( = @ ( f1_s5_scpinvar @ A ) @ k6_numbers ) <=> ( = @ ( k1_funct_1 @ A @ ( k2_scmpds_2 @ ( k1_funct_1 @ f2_s5_scpinvar @ f5_s5_scpinvar ) @ f6_s5_scpinvar ) ) @ k6_numbers ) ) ) ) & ( p1_s5_scpinvar @ f2_s5_scpinvar ) & ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ A ) & ( v5_funct_1 @ A @ ( k2_memstr_0 @ np__2 @ k1_scmpds_2 ) ) & ( v1_partfun1 @ A @ ( u1_struct_0 @ k1_scmpds_2 ) ) & ( v5_memstr_0 @ A @ np__2 @ k1_scmpds_2 @ k6_numbers ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ ( u1_compos_1 @ k1_scmpds_2 ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ k5_numbers ) ) => ( ( ( p1_s5_scpinvar @ A ) & ( = @ ( k1_funct_1 @ A @ f5_s5_scpinvar ) @ ( k1_funct_1 @ f2_s5_scpinvar @ f5_s5_scpinvar ) ) ) => ( ( = @ ( k1_funct_1 @ A @ ( k2_scmpds_2 @ ( k1_funct_1 @ f2_s5_scpinvar @ f5_s5_scpinvar ) @ f6_s5_scpinvar ) ) @ k6_numbers ) | ( ( = @ ( k1_funct_1 @ ( k6_scmpds_4 @ f4_s5_scpinvar @ A @ B ) @ f5_s5_scpinvar ) @ ( k1_funct_1 @ A @ f5_s5_scpinvar ) ) & ( r1_scmpds_6 @ f4_s5_scpinvar @ A @ B ) & ( r2_scmpds_6 @ f4_s5_scpinvar @ A @ B ) & ~ ( r1_xxreal_0 @ ( f1_s5_scpinvar @ A ) @ ( f1_s5_scpinvar @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ ( k6_scmpds_4 @ f4_s5_scpinvar @ A @ B ) ) ) ) & ( p1_s5_scpinvar @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ ( k6_scmpds_4 @ f4_s5_scpinvar @ A @ B ) ) ) ) ) ) ) ) ) => ( ( = @ ( f1_s5_scpinvar @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ ( k6_scmpds_4 @ ( k4_scpinvar @ f5_s5_scpinvar @ f6_s5_scpinvar @ f4_s5_scpinvar ) @ f2_s5_scpinvar @ f3_s5_scpinvar ) ) ) @ k6_numbers ) & ( p1_s5_scpinvar @ ( k8_memstr_0 @ np__2 @ k1_scmpds_2 @ ( k6_scmpds_4 @ ( k4_scpinvar @ f5_s5_scpinvar @ f6_s5_scpinvar @ f4_s5_scpinvar ) @ f2_s5_scpinvar @ f3_s5_scpinvar ) ) ) ) ),file(scpinvar,s5_scpinvar)).
