% Mizar problem: e2_48_1_1,bvfunc_1,2009,48 
include('Axioms/SET010^0.ax').
thf(c1_48_type,type,( c1_48__bvfunc_1: $i )).
thf(c2_48_type,type,( c2_48__bvfunc_1: $i )).
thf(c3_48_type,type,( c3_48__bvfunc_1: $i )).
thf(k11_eqrel_1_type,type,( k11_eqrel_1: $i > $i > $i > $i )).
thf(k15_bvfunc_1_type,type,( k15_bvfunc_1: $i > $i > $i > $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k1_xboolean_type,type,( k1_xboolean: $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_xboolean_type,type,( k2_xboolean: $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(k6_margrel1_type,type,( k6_margrel1: $i )).
thf(k7_margrel1_type,type,( k7_margrel1: $i )).
thf(k8_margrel1_type,type,( k8_margrel1: $i )).
thf(m1_bvfunc_1_type,type,( m1_bvfunc_1: $i > $i > $i > $o )).
thf(m1_eqrel_1_type,type,( m1_eqrel_1: $i > $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $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_margrel1_type,type,( v1_margrel1: $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_setfam_1_type,type,( v1_setfam_1: $i > $o )).
thf(v1_subset_1_type,type,( v1_subset_1: $i > $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_xboolean_type,type,( v1_xboolean: $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_3_type,type,( v2_card_3: $i > $o )).
thf(v2_funct_1_type,type,( v2_funct_1: $i > $o )).
thf(v3_funct_1_type,type,( v3_funct_1: $i > $o )).
thf(v4_funct_1_type,type,( v4_funct_1: $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $i > $o )).
thf(v5_relat_1_type,type,( v5_relat_1: $i > $i > $o )).
thf(v7_ordinal1_type,type,( v7_ordinal1: $i > $o )).
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(cc3_xreal_0,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v1_xcmplx_0 @ A ) ) ),file(xreal_0,cc3_xreal_0)).
thf(cc4_xreal_0,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v1_xxreal_0 @ A ) ) ),file(xreal_0,cc4_xreal_0)).
thf(cc5_subset_1,axiom,( ! [A: $i] : ( ( v1_zfmisc_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,cc5_subset_1)).
thf(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(rc1_xreal_0,axiom,( ? [A: $i] : ( v1_xreal_0 @ A ) ),file(xreal_0,rc1_xreal_0)).
thf(rc5_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,rc5_subset_1)).
thf(rc6_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,rc6_subset_1)).
thf(cc2_xreal_0,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_xreal_0 @ A ) ) ),file(xreal_0,cc2_xreal_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(rc1_bvfunc_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v5_relat_1 @ B @ k6_margrel1 ) & ( v1_funct_1 @ B ) & ( v3_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( v1_margrel1 @ B ) ) ) ),file(bvfunc_1,rc1_bvfunc_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(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(redefinition_m1_bvfunc_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_eqrel_1 @ B @ A ) ) => ! [C: $i] : ( ( m1_bvfunc_1 @ C @ A @ B ) <=> ( m1_subset_1 @ C @ B ) ) ) ),file(bvfunc_1,m1_bvfunc_1)).
thf(dt_k11_eqrel_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ A ) & ( m1_eqrel_1 @ C @ A ) ) => ( m1_subset_1 @ ( k11_eqrel_1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ A ) ) ) ),file(eqrel_1,k11_eqrel_1)).
thf(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_k1_xboolean,axiom,( $true ),file(xboolean,k1_xboolean)).
thf(dt_k2_xboolean,axiom,( $true ),file(xboolean,k2_xboolean)).
thf(dt_m1_bvfunc_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_eqrel_1 @ B @ A ) ) => ! [C: $i] : ( ( m1_bvfunc_1 @ C @ A @ B ) => ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) ) ) ),file(bvfunc_1,m1_bvfunc_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_xboolean,axiom,( ! [A: $i] : ( ( v1_xboolean @ A ) => ( v7_ordinal1 @ A ) ) ),file(xboolean,cc1_xboolean)).
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_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( ~ ( v1_subset_1 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ) ),file(subset_1,cc2_subset_1)).
thf(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(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(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(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(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(fc1_xboolean,axiom,( v1_xboolean @ k1_xboolean ),file(xboolean,fc1_xboolean)).
thf(fc2_xboolean,axiom,( v1_xboolean @ k2_xboolean ),file(xboolean,fc2_xboolean)).
thf(fc4_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_margrel1 @ A ) ) => ( v1_xboolean @ ( k1_funct_1 @ A @ B ) ) ) ),file(margrel1,fc4_margrel1)).
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_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_xboolean,axiom,( ? [A: $i] : ( v1_xboolean @ A ) ),file(xboolean,rc1_xboolean)).
thf(rc2_eqrel_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_eqrel_1 @ B @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_setfam_1 @ B ) ) ) ),file(eqrel_1,rc2_eqrel_1)).
thf(rc2_margrel1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_margrel1 @ A ) ) ),file(margrel1,rc2_margrel1)).
thf(rc3_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_subset_1 @ B @ A ) ) ),file(subset_1,rc3_subset_1)).
thf(rc4_eqrel_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_eqrel_1 @ B @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_setfam_1 @ B ) ) ) ),file(eqrel_1,rc4_eqrel_1)).
thf(rc4_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,rc4_subset_1)).
thf(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(rc7_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v4_funct_1 @ A ) ) ),file(funct_1,rc7_funct_1)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(redefinition_k15_bvfunc_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ A ) & ( m1_eqrel_1 @ C @ A ) ) => ( = @ ( k15_bvfunc_1 @ A @ B @ C ) @ ( k11_eqrel_1 @ A @ B @ C ) ) ) ),file(bvfunc_1,k15_bvfunc_1)).
thf(redefinition_k3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( m1_subset_1 @ D @ A ) ) => ( = @ ( k3_funct_2 @ A @ B @ C @ D ) @ ( k1_funct_1 @ C @ D ) ) ) ),file(funct_2,k3_funct_2)).
thf(redefinition_k7_margrel1,axiom,( = @ k7_margrel1 @ k1_xboolean ),file(margrel1,k7_margrel1)).
thf(redefinition_k8_margrel1,axiom,( = @ k8_margrel1 @ k2_xboolean ),file(margrel1,k8_margrel1)).
thf(dt_k15_bvfunc_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ A ) & ( m1_eqrel_1 @ C @ A ) ) => ( m1_bvfunc_1 @ ( k15_bvfunc_1 @ A @ B @ C ) @ A @ C ) ) ),file(bvfunc_1,k15_bvfunc_1)).
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_k6_margrel1,axiom,( $true ),file(margrel1,k6_margrel1)).
thf(dt_k7_margrel1,axiom,( m1_subset_1 @ k7_margrel1 @ k6_margrel1 ),file(margrel1,k7_margrel1)).
thf(dt_k8_margrel1,axiom,( m1_subset_1 @ k8_margrel1 @ k6_margrel1 ),file(margrel1,k8_margrel1)).
thf(dt_m1_eqrel_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_eqrel_1 @ B @ A ) => ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) ) ) ),file(eqrel_1,m1_eqrel_1)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_c1_48__bvfunc_1,axiom,( ~ ( v1_xboole_0 @ c1_48__bvfunc_1 ) ),file(bvfunc_1,c1_48__bvfunc_1)).
thf(dt_c2_48__bvfunc_1,axiom,( ( v1_funct_1 @ c2_48__bvfunc_1 ) & ( v1_funct_2 @ c2_48__bvfunc_1 @ c1_48__bvfunc_1 @ k6_margrel1 ) & ( m1_subset_1 @ c2_48__bvfunc_1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ c1_48__bvfunc_1 @ k6_margrel1 ) ) ) ),file(bvfunc_1,c2_48__bvfunc_1)).
thf(dt_c3_48__bvfunc_1,axiom,( m1_eqrel_1 @ c3_48__bvfunc_1 @ c1_48__bvfunc_1 ),file(bvfunc_1,c3_48__bvfunc_1)).
thf(cc1_eqrel_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_eqrel_1 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ),file(eqrel_1,cc1_eqrel_1)).
thf(cc1_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_funct_1 @ A ) ) ),file(funct_1,cc1_funct_1)).
thf(cc1_margrel1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v2_card_3 @ A ) ) ),file(margrel1,cc1_margrel1)).
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_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_xboole_0 @ B ) ) ) ),file(subset_1,cc1_subset_1)).
thf(cc2_eqrel_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_eqrel_1 @ B @ A ) => ( v1_setfam_1 @ B ) ) ),file(eqrel_1,cc2_eqrel_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_margrel1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k6_margrel1 ) => ( v1_xboolean @ A ) ) ),file(margrel1,cc2_margrel1)).
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(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_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) => ( ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) ) => ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( v1_margrel1 @ B ) ) ) ) ),file(margrel1,cc3_margrel1)).
thf(cc3_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc3_relset_1)).
thf(cc3_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( ( v1_xboole_0 @ B ) => ( v1_subset_1 @ B @ A ) ) ) ) ),file(subset_1,cc3_subset_1)).
thf(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_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_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ~ ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,cc4_subset_1)).
thf(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(fc10_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(subset_1,fc10_subset_1)).
thf(fc1_subset_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) ),file(subset_1,fc1_subset_1)).
thf(fc2_margrel1,axiom,( ~ ( v1_xboole_0 @ k6_margrel1 ) ),file(margrel1,fc2_margrel1)).
thf(rc1_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(subset_1,rc1_subset_1)).
thf(rc2_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v1_xboole_0 @ B ) ) ),file(subset_1,rc2_subset_1)).
thf(e1_48_1_1__bvfunc_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ c1_48__bvfunc_1 ) => ? [B: $i] : ( ( m1_subset_1 @ B @ k6_margrel1 ) & ( ? [C: $i] : ( ( m1_subset_1 @ C @ c1_48__bvfunc_1 ) & ( r2_hidden @ C @ ( k15_bvfunc_1 @ c1_48__bvfunc_1 @ A @ c3_48__bvfunc_1 ) ) & ( = @ ( k3_funct_2 @ c1_48__bvfunc_1 @ k6_margrel1 @ c2_48__bvfunc_1 @ C ) @ k8_margrel1 ) ) => ( = @ B @ k8_margrel1 ) ) & ( ! [C: $i] : ( ( m1_subset_1 @ C @ c1_48__bvfunc_1 ) => ~ ( ( r2_hidden @ C @ ( k15_bvfunc_1 @ c1_48__bvfunc_1 @ A @ c3_48__bvfunc_1 ) ) & ( = @ ( k3_funct_2 @ c1_48__bvfunc_1 @ k6_margrel1 @ c2_48__bvfunc_1 @ C ) @ k8_margrel1 ) ) ) => ( = @ B @ k7_margrel1 ) ) ) ) ),file(bvfunc_1,e1_48_1_1__bvfunc_1)).
thf(s3_funct_2,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ! [C: $i] : ( ! [D: $i] : ( ( m1_subset_1 @ D @ C ) => ? [E: $i] : ( ( m1_subset_1 @ E @ B ) & ( A @ D @ E ) ) ) => ? [D: $i] : ( ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ C @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ C @ B ) ) ) & ! [E: $i] : ( ( m1_subset_1 @ E @ C ) => ( A @ E @ ( k3_funct_2 @ C @ B @ D @ E ) ) ) ) ) ),file(funct_2,s3_funct_2)).
thf(e2_48_1_1__bvfunc_1,conjecture,( ? [A: $i] : ( ( v1_funct_1 @ A ) & ( v1_funct_2 @ A @ c1_48__bvfunc_1 @ k6_margrel1 ) & ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ c1_48__bvfunc_1 @ k6_margrel1 ) ) ) & ! [B: $i] : ( ( m1_subset_1 @ B @ c1_48__bvfunc_1 ) => ( ( ? [C: $i] : ( ( m1_subset_1 @ C @ c1_48__bvfunc_1 ) & ( r2_hidden @ C @ ( k15_bvfunc_1 @ c1_48__bvfunc_1 @ B @ c3_48__bvfunc_1 ) ) & ( = @ ( k3_funct_2 @ c1_48__bvfunc_1 @ k6_margrel1 @ c2_48__bvfunc_1 @ C ) @ k8_margrel1 ) ) => ( = @ ( k3_funct_2 @ c1_48__bvfunc_1 @ k6_margrel1 @ A @ B ) @ k8_margrel1 ) ) & ( ! [C: $i] : ( ( m1_subset_1 @ C @ c1_48__bvfunc_1 ) => ~ ( ( r2_hidden @ C @ ( k15_bvfunc_1 @ c1_48__bvfunc_1 @ B @ c3_48__bvfunc_1 ) ) & ( = @ ( k3_funct_2 @ c1_48__bvfunc_1 @ k6_margrel1 @ c2_48__bvfunc_1 @ C ) @ k8_margrel1 ) ) ) => ( = @ ( k3_funct_2 @ c1_48__bvfunc_1 @ k6_margrel1 @ A @ B ) @ k7_margrel1 ) ) ) ) ) ),file(bvfunc_1,e2_48_1_1__bvfunc_1)).
