% Mizar problem: e1_6_1_2,zfmisc_1,138,62 
include('Axioms/SET010^0.ax').
thf(c1_6_type,type,( c1_6__zfmisc_1: $i )).
thf(c2_6_type,type,( c2_6__zfmisc_1: $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
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(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_6__zfmisc_1,axiom,( $true ),file(zfmisc_1,c1_6__zfmisc_1)).
thf(dt_c2_6__zfmisc_1,axiom,( $true ),file(zfmisc_1,c2_6__zfmisc_1)).
thf(fc1_zfmisc_1,axiom,( ! [A: $i] : ! [B: $i] : ~ ( v1_xboole_0 @ ( k4_tarski @ A @ B ) ) ),file(zfmisc_1,fc1_zfmisc_1)).
thf(s3_xboole_0,axiom,( ! [A: $i > $o] : ! [B: $i] : ! [C: $i] : ( ( ! [D: $i] : ( ( r2_hidden @ D @ B ) <=> ( A @ D ) ) & ! [D: $i] : ( ( r2_hidden @ D @ C ) <=> ( A @ D ) ) ) => ( = @ B @ C ) ) ),file(xboole_0,s3_xboole_0)).
thf(e1_6_1_2__zfmisc_1,conjecture,( ! [A: $i] : ! [B: $i] : ( ( ! [C: $i] : ( ( r2_hidden @ C @ A ) <=> ? [D: $i] : ? [E: $i] : ( ( r2_hidden @ D @ c1_6__zfmisc_1 ) & ( r2_hidden @ E @ c2_6__zfmisc_1 ) & ( = @ C @ ( k4_tarski @ D @ E ) ) ) ) & ! [C: $i] : ( ( r2_hidden @ C @ B ) <=> ? [D: $i] : ? [E: $i] : ( ( r2_hidden @ D @ c1_6__zfmisc_1 ) & ( r2_hidden @ E @ c2_6__zfmisc_1 ) & ( = @ C @ ( k4_tarski @ D @ E ) ) ) ) ) => ( = @ A @ B ) ) ),file(zfmisc_1,e1_6_1_2__zfmisc_1)).
