% Mizar problem: e6_23,wellord2,839,48 
include('Axioms/SET010^0.ax').
thf(c1_23_type,type,( c1_23__wellord2: $i )).
thf(c2_23_type,type,( c2_23__wellord2: $i )).
thf(c3_23_type,type,( c3_23__wellord2: $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $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_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_c1_23__wellord2,axiom,( $true ),file(wellord2,c1_23__wellord2)).
thf(dt_c2_23__wellord2,axiom,( v1_relat_1 @ c2_23__wellord2 ),file(wellord2,c2_23__wellord2)).
thf(dt_c3_23__wellord2,axiom,( ( v1_relat_1 @ c3_23__wellord2 ) & ( v1_funct_1 @ c3_23__wellord2 ) ),file(wellord2,c3_23__wellord2)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(s1_relat_1,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ! [C: $i] : ? [D: $i] : ( ( v1_relat_1 @ D ) & ! [E: $i] : ! [F: $i] : ( ( r2_hidden @ ( k4_tarski @ E @ F ) @ D ) <=> ( ( r2_hidden @ E @ C ) & ( r2_hidden @ F @ B ) & ( A @ E @ F ) ) ) ) ),file(relat_1,s1_relat_1)).
thf(e6_23__wellord2,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ! [B: $i] : ! [C: $i] : ( ( r2_hidden @ ( k4_tarski @ B @ C ) @ A ) <=> ( ( r2_hidden @ B @ c1_23__wellord2 ) & ( r2_hidden @ C @ c1_23__wellord2 ) & ( r2_hidden @ ( k4_tarski @ ( k1_funct_1 @ c3_23__wellord2 @ B ) @ ( k1_funct_1 @ c3_23__wellord2 @ C ) ) @ c2_23__wellord2 ) ) ) ) ),file(wellord2,e6_23__wellord2)).
