% Mizar problem: e7_19,translac,938,45 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_19_type,type,( c1_19__translac: $i )).
thf(c2_19_type,type,( c2_19__translac: $i )).
thf(c3_19_type,type,( c3_19__translac: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $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_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_funct_2_type,type,( k3_funct_2: $i > $i > $i > $i > $i )).
thf(u1_struct_0_type,type,( u1_struct_0: $i > $i )).
thf(l1_analoaf_type,type,( l1_analoaf: $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(r1_aff_1_type,type,( r1_aff_1: $i > $i > $i > $i > $o )).
thf(r2_analoaf_type,type,( r2_analoaf: $i > $i > $i > $i > $i > $o )).
thf(v13_struct_0_type,type,( v13_struct_0: $i > $i > $o )).
thf(v1_diraf_type,type,( v1_diraf: $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_partfun1_type,type,( v1_partfun1: $i > $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v2_diraf_type,type,( v2_diraf: $i > $o )).
thf(v2_funct_1_type,type,( v2_funct_1: $i > $o )).
thf(v2_funct_2_type,type,( v2_funct_2: $i > $i > $o )).
thf(v2_relat_1_type,type,( v2_relat_1: $i > $o )).
thf(v2_struct_0_type,type,( v2_struct_0: $i > $o )).
thf(v3_funct_1_type,type,( v3_funct_1: $i > $o )).
thf(v3_funct_2_type,type,( v3_funct_2: $i > $i > $i > $o )).
thf(v3_relat_1_type,type,( v3_relat_1: $i > $o )).
thf(v4_funct_1_type,type,( v4_funct_1: $i > $o )).
thf(v7_struct_0_type,type,( v7_struct_0: $i > $o )).
thf(v8_struct_0_type,type,( v8_struct_0: $i > $o )).
thf(dt_k1_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_0)).
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(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(fc1_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_0)).
thf(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
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(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(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(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_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(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(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(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_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(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(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(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(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(fc8_struct_0,axiom,( ! [A: $i] : ( ( ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc8_struct_0)).
thf(fc9_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(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(rc2_relat_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ),file(relat_1,rc2_relat_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(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_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(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(rc7_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v4_funct_1 @ A ) ) ),file(funct_1,rc7_funct_1)).
thf(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_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_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_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_partfun1 @ C @ A ) ) ) ),file(partfun1,cc1_partfun1)).
thf(cc1_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_relat_1 @ A ) ) ),file(relat_1,cc1_relat_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_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_xboole_0 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ~ ( v1_partfun1 @ C @ A ) ) ) ),file(partfun1,cc2_partfun1)).
thf(cc2_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_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v7_struct_0 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc2_struct_0)).
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_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(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_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(cc6_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v2_funct_1 @ C ) & ( v2_funct_2 @ C @ B ) ) => ( ( v1_funct_1 @ C ) & ( v3_funct_2 @ C @ A @ B ) ) ) ) ),file(funct_2,cc6_funct_2)).
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(cc7_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v4_funct_1 @ A ) ) ),file(funct_1,cc7_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(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(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(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(rc1_relat_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) ),file(relat_1,rc1_relat_1)).
thf(rc1_xboole_0,axiom,( ? [A: $i] : ( v1_xboole_0 @ A ) ),file(xboole_0,rc1_xboole_0)).
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_xboole_0,axiom,( ? [A: $i] : ~ ( v1_xboole_0 @ A ) ),file(xboole_0,rc2_xboole_0)).
thf(redefinition_k3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( m1_subset_1 @ D @ A ) ) => ( = @ ( k3_funct_2 @ A @ B @ C @ D ) @ ( k1_funct_1 @ C @ D ) ) ) ),file(funct_2,k3_funct_2)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( m1_subset_1 @ D @ A ) ) => ( m1_subset_1 @ ( k3_funct_2 @ A @ B @ C @ D ) @ B ) ) ),file(funct_2,k3_funct_2)).
thf(dt_l1_analoaf,axiom,( ! [A: $i] : ( ( l1_analoaf @ A ) => ( l1_struct_0 @ A ) ) ),file(analoaf,l1_analoaf)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_c1_19__translac,axiom,( ~ ( v7_struct_0 @ c1_19__translac ) & ( v1_diraf @ c1_19__translac ) & ( v2_diraf @ c1_19__translac ) & ( l1_analoaf @ c1_19__translac ) ),file(translac,c1_19__translac)).
thf(dt_c2_19__translac,axiom,( m1_subset_1 @ c2_19__translac @ ( u1_struct_0 @ c1_19__translac ) ),file(translac,c2_19__translac)).
thf(dt_c3_19__translac,axiom,( m1_subset_1 @ c3_19__translac @ ( u1_struct_0 @ c1_19__translac ) ),file(translac,c3_19__translac)).
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(cc5_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v3_funct_2 @ C @ A @ B ) ) => ( ( v1_funct_1 @ C ) & ( v2_funct_1 @ C ) & ( v2_funct_2 @ C @ B ) ) ) ) ),file(funct_2,cc5_funct_2)).
thf(fc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),file(relat_1,fc6_relat_1)).
thf(e3_19__translac,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ c1_19__translac ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ c1_19__translac ) ) & ( ( ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A @ B ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ A @ c3_19__translac @ B ) ) | ( ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A ) & ? [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ c1_19__translac ) ) & ? [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ c1_19__translac ) ) & ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ C ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ C @ D ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ C @ c3_19__translac @ D ) & ( r2_analoaf @ c1_19__translac @ C @ D @ A @ B ) & ( r2_analoaf @ c1_19__translac @ C @ A @ D @ B ) ) ) ) ) ) ) ),file(translac,e3_19__translac)).
thf(e5_19__translac,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ c1_19__translac ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ c1_19__translac ) ) & ( ( ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ B ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ B @ A ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ B @ c3_19__translac @ A ) ) | ( ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ B ) & ? [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ c1_19__translac ) ) & ? [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ c1_19__translac ) ) & ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ C ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ C @ D ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ C @ c3_19__translac @ D ) & ( r2_analoaf @ c1_19__translac @ C @ D @ B @ A ) & ( r2_analoaf @ c1_19__translac @ C @ B @ D @ A ) ) ) ) ) ) ) ),file(translac,e5_19__translac)).
thf(e4_19__translac,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ c1_19__translac ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ c1_19__translac ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ c1_19__translac ) ) => ( ( ( ( ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A @ B ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ A @ c3_19__translac @ B ) ) | ( ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A ) & ? [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ c1_19__translac ) ) & ? [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ c1_19__translac ) ) & ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ D ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ D @ E ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ D @ c3_19__translac @ E ) & ( r2_analoaf @ c1_19__translac @ D @ E @ A @ B ) & ( r2_analoaf @ c1_19__translac @ D @ A @ E @ B ) ) ) ) ) & ( ( ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ C ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ C @ B ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ C @ c3_19__translac @ B ) ) | ( ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ C ) & ? [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ c1_19__translac ) ) & ? [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ c1_19__translac ) ) & ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ D ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ D @ E ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ D @ c3_19__translac @ E ) & ( r2_analoaf @ c1_19__translac @ D @ E @ C @ B ) & ( r2_analoaf @ c1_19__translac @ D @ C @ E @ B ) ) ) ) ) ) => ( = @ A @ C ) ) ) ) ) ),file(translac,e4_19__translac)).
thf(e6_19__translac,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ c1_19__translac ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ c1_19__translac ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ c1_19__translac ) ) => ( ( ( ( ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A @ B ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ A @ c3_19__translac @ B ) ) | ( ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A ) & ? [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ c1_19__translac ) ) & ? [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ c1_19__translac ) ) & ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ D ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ D @ E ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ D @ c3_19__translac @ E ) & ( r2_analoaf @ c1_19__translac @ D @ E @ A @ B ) & ( r2_analoaf @ c1_19__translac @ D @ A @ E @ B ) ) ) ) ) & ( ( ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A @ C ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ A @ c3_19__translac @ C ) ) | ( ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ A ) & ? [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ c1_19__translac ) ) & ? [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ c1_19__translac ) ) & ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ D ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ D @ E ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ D @ c3_19__translac @ E ) & ( r2_analoaf @ c1_19__translac @ D @ E @ A @ C ) & ( r2_analoaf @ c1_19__translac @ D @ A @ E @ C ) ) ) ) ) ) => ( = @ B @ C ) ) ) ) ) ),file(translac,e6_19__translac)).
thf(s1_transgeo,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ( ( ! [C: $i] : ( ( m1_subset_1 @ C @ B ) => ? [D: $i] : ( ( m1_subset_1 @ D @ B ) & ( A @ C @ D ) ) ) & ! [C: $i] : ( ( m1_subset_1 @ C @ B ) => ? [D: $i] : ( ( m1_subset_1 @ D @ B ) & ( A @ D @ C ) ) ) & ! [C: $i] : ( ( m1_subset_1 @ C @ B ) => ! [D: $i] : ( ( m1_subset_1 @ D @ B ) => ! [E: $i] : ( ( m1_subset_1 @ E @ B ) => ( ( ( A @ C @ D ) & ( A @ E @ D ) ) => ( = @ C @ E ) ) ) ) ) & ! [C: $i] : ( ( m1_subset_1 @ C @ B ) => ! [D: $i] : ( ( m1_subset_1 @ D @ B ) => ! [E: $i] : ( ( m1_subset_1 @ E @ B ) => ( ( ( A @ C @ D ) & ( A @ C @ E ) ) => ( = @ D @ E ) ) ) ) ) ) => ? [C: $i] : ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ B @ B ) & ( v3_funct_2 @ C @ B @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ B ) ) ) & ! [D: $i] : ( ( m1_subset_1 @ D @ B ) => ! [E: $i] : ( ( m1_subset_1 @ E @ B ) => ( ( = @ ( k3_funct_2 @ B @ B @ C @ D ) @ E ) <=> ( A @ D @ E ) ) ) ) ) ) ),file(transgeo,s1_transgeo)).
thf(e7_19__translac,conjecture,( ? [A: $i] : ( ( v1_funct_1 @ A ) & ( v1_funct_2 @ A @ ( u1_struct_0 @ c1_19__translac ) @ ( u1_struct_0 @ c1_19__translac ) ) & ( v3_funct_2 @ A @ ( u1_struct_0 @ c1_19__translac ) @ ( u1_struct_0 @ c1_19__translac ) ) & ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ c1_19__translac ) @ ( u1_struct_0 @ c1_19__translac ) ) ) ) & ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ c1_19__translac ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ c1_19__translac ) ) => ( ( = @ ( k3_funct_2 @ ( u1_struct_0 @ c1_19__translac ) @ ( u1_struct_0 @ c1_19__translac ) @ A @ B ) @ C ) <=> ( ( ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ B ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ B @ C ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ B @ c3_19__translac @ C ) ) | ( ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ B ) & ? [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ c1_19__translac ) ) & ? [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ c1_19__translac ) ) & ~ ( r1_aff_1 @ c1_19__translac @ c2_19__translac @ c3_19__translac @ D ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ c3_19__translac @ D @ E ) & ( r2_analoaf @ c1_19__translac @ c2_19__translac @ D @ c3_19__translac @ E ) & ( r2_analoaf @ c1_19__translac @ D @ E @ B @ C ) & ( r2_analoaf @ c1_19__translac @ D @ B @ E @ C ) ) ) ) ) ) ) ) ) ),file(translac,e7_19__translac)).
