% Mizar problem: e1_6,xregular,291,52 
include('Axioms/SET010^0.ax').
thf(c1_6_type,type,( c1_6__xregular: $i )).
thf(k3_tarski_type,type,( k3_tarski: $i > $i )).
thf(r1_xboole_0_type,type,( r1_xboole_0: $i > $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(symmetry_r1_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( r1_xboole_0 @ A @ B ) => ( r1_xboole_0 @ B @ A ) ) ),file(xboole_0,r1_xboole_0)).
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_c1_6__xregular,axiom,( ~ ( v1_xboole_0 @ c1_6__xregular ) ),file(xregular,c1_6__xregular)).
thf(rc1_xboole_0,axiom,( ? [A: $i] : ( v1_xboole_0 @ A ) ),file(xboole_0,rc1_xboole_0)).
thf(rc2_xboole_0,axiom,( ? [A: $i] : ~ ( v1_xboole_0 @ A ) ),file(xboole_0,rc2_xboole_0)).
thf(s1_xboole_0,axiom,( ! [A: $i > $o] : ! [B: $i] : ? [C: $i] : ! [D: $i] : ( ( r2_hidden @ D @ C ) <=> ( ( r2_hidden @ D @ B ) & ( A @ D ) ) ) ),file(xboole_0,s1_xboole_0)).
thf(e1_6__xregular,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( k3_tarski @ c1_6__xregular ) ) & ? [C: $i] : ? [D: $i] : ? [E: $i] : ? [F: $i] : ( ( r2_hidden @ C @ D ) & ( r2_hidden @ D @ E ) & ( r2_hidden @ E @ F ) & ( r2_hidden @ F @ B ) & ~ ( r1_xboole_0 @ C @ c1_6__xregular ) ) ) ) ),file(xregular,e1_6__xregular)).
