% Mizar problem: e8_91_1_2,rewrite1,2388,8 
include('Axioms/SET010^0.ax').
thf(c1_91_type,type,( c1_91__rewrite1: $i )).
thf(k1_relat_1_type,type,( k1_relat_1: $i > $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(r2_rewrite1_type,type,( r2_rewrite1: $i > $i > $i > $o )).
thf(v1_partfun1_type,type,( v1_partfun1: $i > $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_relat_2_type,type,( v1_relat_2: $i > $o )).
thf(v3_relat_2_type,type,( v3_relat_2: $i > $o )).
thf(v8_relat_2_type,type,( v8_relat_2: $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_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_c1_91__rewrite1,axiom,( v1_relat_1 @ c1_91__rewrite1 ),file(rewrite1,c1_91__rewrite1)).
thf(cc2_relat_1,axiom,( ! [A: $i] : ( ( v1_relat_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_relat_1 @ B ) ) ) ),file(relat_1,cc2_relat_1)).
thf(cc3_partfun1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v3_relat_2 @ A ) & ( v8_relat_2 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_relat_2 @ A ) ) ) ),file(partfun1,cc3_partfun1)).
thf(fc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),file(relat_1,fc6_relat_1)).
thf(e7_91_1_2__rewrite1,axiom,( ! [A: $i] : ( ( r2_hidden @ A @ ( k1_relat_1 @ c1_91__rewrite1 ) ) => ( r2_rewrite1 @ c1_91__rewrite1 @ A @ A ) ) ),file(rewrite1,e7_91_1_2__rewrite1)).
thf(e5_91_1_2__rewrite1,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_rewrite1 @ c1_91__rewrite1 @ A @ B ) => ( r2_rewrite1 @ c1_91__rewrite1 @ B @ A ) ) ),file(rewrite1,e5_91_1_2__rewrite1)).
thf(e6_91_1_2__rewrite1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( r2_rewrite1 @ c1_91__rewrite1 @ A @ B ) & ( r2_rewrite1 @ c1_91__rewrite1 @ B @ C ) ) => ( r2_rewrite1 @ c1_91__rewrite1 @ A @ C ) ) ),file(rewrite1,e6_91_1_2__rewrite1)).
thf(s1_eqrel_1,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ( ( ! [C: $i] : ( ( r2_hidden @ C @ B ) => ( A @ C @ C ) ) & ! [C: $i] : ! [D: $i] : ( ( A @ C @ D ) => ( A @ D @ C ) ) & ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ( A @ C @ D ) & ( A @ D @ E ) ) => ( A @ C @ E ) ) ) => ? [C: $i] : ( ( v3_relat_2 @ C ) & ( v8_relat_2 @ C ) & ( v1_partfun1 @ C @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ B ) ) ) & ! [D: $i] : ! [E: $i] : ( ( r2_hidden @ ( k4_tarski @ D @ E ) @ C ) <=> ( ( r2_hidden @ D @ B ) & ( r2_hidden @ E @ B ) & ( A @ D @ E ) ) ) ) ) ),file(eqrel_1,s1_eqrel_1)).
thf(e8_91_1_2__rewrite1,conjecture,( ? [A: $i] : ( ( v1_partfun1 @ A @ ( k1_relat_1 @ c1_91__rewrite1 ) ) & ( v3_relat_2 @ A ) & ( v8_relat_2 @ A ) & ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_relat_1 @ c1_91__rewrite1 ) @ ( k1_relat_1 @ c1_91__rewrite1 ) ) ) ) & ! [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 ) ) & ( r2_rewrite1 @ c1_91__rewrite1 @ B @ C ) ) ) ) ),file(rewrite1,e8_91_1_2__rewrite1)).
