% Mizar problem: e4_61,funct_6,2200,15 
include('Axioms/SET010^0.ax').
thf(c1_61_type,type,( c1_61__funct_6: $i )).
thf(c2_61_type,type,( c2_61__funct_6: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k4_card_3_type,type,( k4_card_3: $i > $i )).
thf(k6_funct_6_type,type,( k6_funct_6: $i > $i )).
thf(k9_funct_6_type,type,( k9_funct_6: $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_k4_card_3,axiom,( $true ),file(card_3,k4_card_3)).
thf(dt_k6_funct_6,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ ( k6_funct_6 @ A ) ) & ( v1_funct_1 @ ( k6_funct_6 @ A ) ) ) ) ),file(funct_6,k6_funct_6)).
thf(dt_k9_funct_6,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k9_funct_6 @ A @ B ) ) & ( v1_funct_1 @ ( k9_funct_6 @ A @ B ) ) ) ) ),file(funct_6,k9_funct_6)).
thf(dt_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_c1_61__funct_6,axiom,( $true ),file(funct_6,c1_61__funct_6)).
thf(dt_c2_61__funct_6,axiom,( ( v1_relat_1 @ c2_61__funct_6 ) & ( v1_funct_1 @ c2_61__funct_6 ) ),file(funct_6,c2_61__funct_6)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(e3_61__funct_6,axiom,( ! [A: $i] : ~ ( ( r2_hidden @ A @ ( k4_card_3 @ ( k9_funct_6 @ c1_61__funct_6 @ c2_61__funct_6 ) ) ) & ! [B: $i] : ~ ( ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( = @ A @ C ) & ( = @ B @ ( k6_funct_6 @ C ) ) ) ) ) ),file(funct_6,e3_61__funct_6)).
thf(s1_classes1,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ( ! [C: $i] : ~ ( ( r2_hidden @ C @ B ) & ! [D: $i] : ~ ( A @ C @ D ) ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( = @ ( k9_xtuple_0 @ C ) @ B ) & ! [D: $i] : ( ( r2_hidden @ D @ B ) => ( A @ D @ ( k1_funct_1 @ C @ D ) ) ) ) ) ),file(classes1,s1_classes1)).
thf(e4_61__funct_6,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( = @ ( k9_xtuple_0 @ A ) @ ( k4_card_3 @ ( k9_funct_6 @ c1_61__funct_6 @ c2_61__funct_6 ) ) ) & ! [B: $i] : ( ( r2_hidden @ B @ ( k4_card_3 @ ( k9_funct_6 @ c1_61__funct_6 @ c2_61__funct_6 ) ) ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( = @ B @ C ) & ( = @ ( k1_funct_1 @ A @ B ) @ ( k6_funct_6 @ C ) ) ) ) ) ),file(funct_6,e4_61__funct_6)).
