% Mizar problem: e3_17_1_2,yellow_3,391,19 
include('Axioms/SET010^0.ax').
thf(c1_17_type,type,( c1_17__yellow_3: $i )).
thf(c1_17_1_2_type,type,( c1_17_1_2__yellow_3: $i )).
thf(c2_17_type,type,( c2_17__yellow_3: $i )).
thf(c2_17_1_2_type,type,( c2_17_1_2__yellow_3: $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_xtuple_0_type,type,( v1_xtuple_0: $i > $o )).
thf(rc1_xtuple_0,axiom,( ? [A: $i] : ( v1_xtuple_0 @ A ) ),file(xtuple_0,rc1_xtuple_0)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_c1_17__yellow_3,axiom,( v1_relat_1 @ c1_17__yellow_3 ),file(yellow_3,c1_17__yellow_3)).
thf(dt_c1_17_1_2__yellow_3,axiom,( v1_relat_1 @ c1_17_1_2__yellow_3 ),file(yellow_3,c1_17_1_2__yellow_3)).
thf(dt_c2_17__yellow_3,axiom,( v1_relat_1 @ c2_17__yellow_3 ),file(yellow_3,c2_17__yellow_3)).
thf(dt_c2_17_1_2__yellow_3,axiom,( v1_relat_1 @ c2_17_1_2__yellow_3 ),file(yellow_3,c2_17_1_2__yellow_3)).
thf(fc1_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( v1_xtuple_0 @ ( k4_tarski @ A @ B ) ) ),file(xtuple_0,fc1_xtuple_0)).
thf(e1_17_1_2__yellow_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ ( k4_tarski @ A @ B ) @ c1_17_1_2__yellow_3 ) <=> ? [C: $i] : ? [D: $i] : ? [E: $i] : ? [F: $i] : ( ( = @ A @ ( k4_tarski @ C @ D ) ) & ( = @ B @ ( k4_tarski @ E @ F ) ) & ( r2_hidden @ ( k4_tarski @ C @ E ) @ c1_17__yellow_3 ) & ( r2_hidden @ ( k4_tarski @ D @ F ) @ c2_17__yellow_3 ) ) ) ),file(yellow_3,e1_17_1_2__yellow_3)).
thf(e2_17_1_2__yellow_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ ( k4_tarski @ A @ B ) @ c2_17_1_2__yellow_3 ) <=> ? [C: $i] : ? [D: $i] : ? [E: $i] : ? [F: $i] : ( ( = @ A @ ( k4_tarski @ C @ D ) ) & ( = @ B @ ( k4_tarski @ E @ F ) ) & ( r2_hidden @ ( k4_tarski @ C @ E ) @ c1_17__yellow_3 ) & ( r2_hidden @ ( k4_tarski @ D @ F ) @ c2_17__yellow_3 ) ) ) ),file(yellow_3,e2_17_1_2__yellow_3)).
thf(s2_relat_1,axiom,( ! [A: $i] : ! [B: $i > $i > $o] : ! [C: $i] : ( ( ! [D: $i] : ! [E: $i] : ( ( r2_hidden @ ( k4_tarski @ D @ E ) @ C ) <=> ( B @ D @ E ) ) & ! [D: $i] : ! [E: $i] : ( ( r2_hidden @ ( k4_tarski @ D @ E ) @ A ) <=> ( B @ D @ E ) ) ) => ( = @ C @ A ) ) ),file(relat_1,s2_relat_1)).
thf(e3_17_1_2__yellow_3,conjecture,( = @ c1_17_1_2__yellow_3 @ c2_17_1_2__yellow_3 ),file(yellow_3,e3_17_1_2__yellow_3)).
