% Mizar problem: e2_59_1,funct_5,1433,10 
include('Axioms/SET010^0.ax').
thf(c1_59_type,type,( c1_59__funct_5: $i )).
thf(c3_59_type,type,( c3_59__funct_5: $i )).
thf(c5_59_type,type,( c5_59__funct_5: $i )).
thf(c6_59_type,type,( c6_59__funct_5: $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(k3_relat_1_type,type,( k3_relat_1: $i > $i > $i )).
thf(k9_xtuple_0_type,type,( k9_xtuple_0: $i > $i )).
thf(v1_funct_1_type,type,( v1_funct_1: $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
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_k3_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) ),file(relat_1,k3_relat_1)).
thf(dt_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_c1_59__funct_5,axiom,( $true ),file(funct_5,c1_59__funct_5)).
thf(dt_c3_59__funct_5,axiom,( $true ),file(funct_5,c3_59__funct_5)).
thf(dt_c5_59__funct_5,axiom,( ( v1_relat_1 @ c5_59__funct_5 ) & ( v1_funct_1 @ c5_59__funct_5 ) ),file(funct_5,c5_59__funct_5)).
thf(dt_c6_59__funct_5,axiom,( ( v1_relat_1 @ c6_59__funct_5 ) & ( v1_funct_1 @ c6_59__funct_5 ) ),file(funct_5,c6_59__funct_5)).
thf(fc2_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v1_funct_1 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(funct_1,fc2_funct_1)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(s1_funct_5,axiom,( ! [A: $i > $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( = @ ( k9_xtuple_0 @ C ) @ B ) & ! [D: $i] : ( ( ( v1_relat_1 @ D ) & ( v1_funct_1 @ D ) ) => ( ( r2_hidden @ D @ B ) => ( = @ ( k1_funct_1 @ C @ D ) @ ( A @ D ) ) ) ) ) ),file(funct_5,s1_funct_5)).
thf(e2_59_1__funct_5,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( = @ ( k9_xtuple_0 @ A ) @ ( k1_funct_2 @ c1_59__funct_5 @ c3_59__funct_5 ) ) & ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( r2_hidden @ B @ ( k1_funct_2 @ c1_59__funct_5 @ c3_59__funct_5 ) ) => ( = @ ( k1_funct_1 @ A @ B ) @ ( k3_relat_1 @ ( k3_relat_1 @ c5_59__funct_5 @ B ) @ c6_59__funct_5 ) ) ) ) ) ),file(funct_5,e2_59_1__funct_5)).
