% Mizar problem: e15_91_1_2,rewrite1,2398,8 
include('Axioms/SET010^0.ax').
thf(c1_91_type,type,( c1_91__rewrite1: $i )).
thf(c6_91_1_2_type,type,( c6_91_1_2__rewrite1: $i )).
thf(k1_relat_1_type,type,( k1_relat_1: $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(r2_rewrite1_type,type,( r2_rewrite1: $i > $i > $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_relat_1,axiom,( $true ),file(relat_1,k1_relat_1)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_c1_91__rewrite1,axiom,( v1_relat_1 @ c1_91__rewrite1 ),file(rewrite1,c1_91__rewrite1)).
thf(dt_c6_91_1_2__rewrite1,axiom,( $true ),file(rewrite1,c6_91_1_2__rewrite1)).
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(e15_91_1_2__rewrite1,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ! [B: $i] : ! [C: $i] : ( ( r2_hidden @ ( k4_tarski @ B @ C ) @ A ) <=> ( ( r2_hidden @ B @ ( k1_relat_1 @ c1_91__rewrite1 ) ) & ( r2_hidden @ C @ ( k1_relat_1 @ c1_91__rewrite1 ) ) & ~ ( = @ B @ C ) & ( r2_rewrite1 @ c1_91__rewrite1 @ B @ C ) & ( r2_hidden @ C @ c6_91_1_2__rewrite1 ) ) ) ) ),file(rewrite1,e15_91_1_2__rewrite1)).
