% Mizar problem: e14_56,card_3,1538,61 
include('Axioms/SET010^0.ax').
thf(c2_56_type,type,( c2_56__card_3: $i )).
thf(c3_56_type,type,( c3_56__card_3: $i )).
thf(c4_56_type,type,( c4_56__card_3: $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(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_k3_tarski,axiom,( $true ),file(tarski,k3_tarski)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_c2_56__card_3,axiom,( $true ),file(card_3,c2_56__card_3)).
thf(dt_c3_56__card_3,axiom,( $true ),file(card_3,c3_56__card_3)).
thf(dt_c4_56__card_3,axiom,( v1_relat_1 @ c4_56__card_3 ),file(card_3,c4_56__card_3)).
thf(fc1_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( v1_xtuple_0 @ ( k4_tarski @ A @ B ) ) ),file(xtuple_0,fc1_xtuple_0)).
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(e14_56__card_3,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ! [B: $i] : ! [C: $i] : ( ( r2_hidden @ ( k4_tarski @ B @ C ) @ A ) <=> ( ( r2_hidden @ B @ ( k3_tarski @ c2_56__card_3 ) ) & ( r2_hidden @ C @ ( k3_tarski @ c2_56__card_3 ) ) & ~ ( ! [D: $i] : ~ ( ( r2_hidden @ D @ c3_56__card_3 ) & ( r2_hidden @ B @ D ) & ~ ( r2_hidden @ C @ D ) ) & ~ ( ! [D: $i] : ( ( r2_hidden @ D @ c3_56__card_3 ) => ( ( r2_hidden @ B @ D ) <=> ( r2_hidden @ C @ D ) ) ) & ( r2_hidden @ ( k4_tarski @ B @ C ) @ c4_56__card_3 ) ) ) ) ) ) ),file(card_3,e14_56__card_3)).
