% Mizar problem: e5_79_1_1,rewrite1,1936,52 
include('Axioms/SET010^0.ax').
thf(c1_79_1_1_type,type,( c1_79_1_1__rewrite1: $i )).
thf(k1_relat_1_type,type,( k1_relat_1: $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(r1_rewrite1_type,type,( r1_rewrite1: $i > $i > $i > $o )).
thf(r5_rewrite1_type,type,( r5_rewrite1: $i > $i > $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_rewrite1_type,type,( v1_rewrite1: $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_79_1_1__rewrite1,axiom,( v1_relat_1 @ c1_79_1_1__rewrite1 ),file(rewrite1,c1_79_1_1__rewrite1)).
thf(e4_79_1_1__rewrite1,axiom,( v1_rewrite1 @ c1_79_1_1__rewrite1 ),file(rewrite1,e4_79_1_1__rewrite1)).
thf(e3_79_1_1__rewrite1,axiom,( ! [A: $i] : ( ! [B: $i] : ( ( r2_hidden @ ( k4_tarski @ A @ B ) @ c1_79_1_1__rewrite1 ) => ( ( = @ A @ B ) | ! [C: $i] : ! [D: $i] : ( ( ( r1_rewrite1 @ c1_79_1_1__rewrite1 @ B @ C ) & ( r1_rewrite1 @ c1_79_1_1__rewrite1 @ B @ D ) ) => ( r5_rewrite1 @ c1_79_1_1__rewrite1 @ C @ D ) ) ) ) => ! [B: $i] : ! [C: $i] : ( ( ( r1_rewrite1 @ c1_79_1_1__rewrite1 @ A @ B ) & ( r1_rewrite1 @ c1_79_1_1__rewrite1 @ A @ C ) ) => ( r5_rewrite1 @ c1_79_1_1__rewrite1 @ B @ C ) ) ) ),file(rewrite1,e3_79_1_1__rewrite1)).
thf(s2_rewrite1,axiom,( ! [A: $i > $o] : ! [B: $i] : ( ( v1_relat_1 @ B ) => ( ( ( v1_rewrite1 @ B ) & ! [C: $i] : ( ! [D: $i] : ( ( r2_hidden @ ( k4_tarski @ C @ D ) @ B ) => ( ( = @ C @ D ) | ( A @ D ) ) ) => ( A @ C ) ) ) => ! [C: $i] : ( ( r2_hidden @ C @ ( k1_relat_1 @ B ) ) => ( A @ C ) ) ) ) ),file(rewrite1,s2_rewrite1)).
thf(e5_79_1_1__rewrite1,conjecture,( ! [A: $i] : ( ( r2_hidden @ A @ ( k1_relat_1 @ c1_79_1_1__rewrite1 ) ) => ! [B: $i] : ! [C: $i] : ( ( ( r1_rewrite1 @ c1_79_1_1__rewrite1 @ A @ B ) & ( r1_rewrite1 @ c1_79_1_1__rewrite1 @ A @ C ) ) => ( r5_rewrite1 @ c1_79_1_1__rewrite1 @ B @ C ) ) ) ),file(rewrite1,e5_79_1_1__rewrite1)).
