% Mizar problem: e4_6,wellset1,167,60 
include('Axioms/SET010^0.ax').
thf(c2_6_type,type,( c2_6__wellset1: $i )).
thf(c4_6_type,type,( c4_6__wellset1: $i )).
thf(k3_tarski_type,type,( k3_tarski: $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
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_k3_tarski,axiom,( $true ),file(tarski,k3_tarski)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_c2_6__wellset1,axiom,( $true ),file(wellset1,c2_6__wellset1)).
thf(dt_c4_6__wellset1,axiom,( $true ),file(wellset1,c4_6__wellset1)).
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(e4_6__wellset1,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ! [B: $i] : ! [C: $i] : ( ( r2_hidden @ ( k4_tarski @ B @ C ) @ A ) <=> ( ( r2_hidden @ B @ ( k3_tarski @ c2_6__wellset1 ) ) & ( r2_hidden @ C @ ( k3_tarski @ c2_6__wellset1 ) ) & ? [D: $i] : ( ( v1_relat_1 @ D ) & ( r2_hidden @ ( k4_tarski @ B @ C ) @ D ) & ( r2_hidden @ D @ c4_6__wellset1 ) ) ) ) ) ),file(wellset1,e4_6__wellset1)).
