% Mizar problem: e1_2_1_1,qc_lang3,163,62 
include('Axioms/SET010^0.ax').
thf(f1_s2_qc_lang3_type,type,( f1_s2_qc_lang3: $i )).
thf(f2_s2_qc_lang3_type,type,( f2_s2_qc_lang3: $i )).
thf(f3_s2_qc_lang3_type,type,( f3_s2_qc_lang3: $i )).
thf(f5_s2_qc_lang3_type,type,( f5_s2_qc_lang3: $i > $i )).
thf(f6_s2_qc_lang3_type,type,( f6_s2_qc_lang3: $i > $i )).
thf(f7_s2_qc_lang3_type,type,( f7_s2_qc_lang3: $i > $i > $i )).
thf(f8_s2_qc_lang3_type,type,( f8_s2_qc_lang3: $i > $i > $i )).
thf(k12_qc_lang1_type,type,( k12_qc_lang1: $i > $i )).
thf(k18_qc_lang1_type,type,( k18_qc_lang1: $i > $i > $i )).
thf(k19_qc_lang1_type,type,( k19_qc_lang1: $i > $i > $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k20_qc_lang1_type,type,( k20_qc_lang1: $i > $i > $i )).
thf(k22_qc_lang1_type,type,( k22_qc_lang1: $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_funct_2_type,type,( k3_funct_2: $i > $i > $i > $i > $i )).
thf(k9_qc_lang1_type,type,( k9_qc_lang1: $i > $i )).
thf(m1_qc_lang1_type,type,( m1_qc_lang1: $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(v1_funct_1_type,type,( v1_funct_1: $i > $o )).
thf(v1_funct_2_type,type,( v1_funct_2: $i > $i > $i > $o )).
thf(v1_int_1_type,type,( v1_int_1: $i > $o )).
thf(v1_membered_type,type,( v1_membered: $i > $o )).
thf(v1_ordinal1_type,type,( v1_ordinal1: $i > $o )).
thf(v1_rat_1_type,type,( v1_rat_1: $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_subset_1_type,type,( v1_subset_1: $i > $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_xcmplx_0_type,type,( v1_xcmplx_0: $i > $o )).
thf(v1_xreal_0_type,type,( v1_xreal_0: $i > $o )).
thf(v1_xxreal_0_type,type,( v1_xxreal_0: $i > $o )).
thf(v2_membered_type,type,( v2_membered: $i > $o )).
thf(v2_ordinal1_type,type,( v2_ordinal1: $i > $o )).
thf(v2_qc_lang1_type,type,( v2_qc_lang1: $i > $i > $o )).
thf(v3_membered_type,type,( v3_membered: $i > $o )).
thf(v3_ordinal1_type,type,( v3_ordinal1: $i > $o )).
thf(v3_qc_lang1_type,type,( v3_qc_lang1: $i > $i > $o )).
thf(v4_membered_type,type,( v4_membered: $i > $o )).
thf(v4_qc_lang1_type,type,( v4_qc_lang1: $i > $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $i > $o )).
thf(v5_membered_type,type,( v5_membered: $i > $o )).
thf(v5_ordinal1_type,type,( v5_ordinal1: $i > $o )).
thf(v5_qc_lang1_type,type,( v5_qc_lang1: $i > $i > $o )).
thf(v5_relat_1_type,type,( v5_relat_1: $i > $i > $o )).
thf(v6_membered_type,type,( v6_membered: $i > $o )).
thf(v6_ordinal1_type,type,( v6_ordinal1: $i > $o )).
thf(v7_membered_type,type,( v7_membered: $i > $o )).
thf(v7_ordinal1_type,type,( v7_ordinal1: $i > $o )).
thf(cc12_membered,axiom,( ! [A: $i] : ( ( v1_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_xcmplx_0 @ B ) ) ) ),file(membered,cc12_membered)).
thf(cc13_membered,axiom,( ! [A: $i] : ( ( v2_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_xxreal_0 @ B ) ) ) ),file(membered,cc13_membered)).
thf(cc19_membered,axiom,( ! [A: $i] : ( ( v1_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_membered @ B ) ) ) ),file(membered,cc19_membered)).
thf(cc20_membered,axiom,( ! [A: $i] : ( ( v2_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v2_membered @ B ) ) ) ),file(membered,cc20_membered)).
thf(cc14_membered,axiom,( ! [A: $i] : ( ( v3_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_xreal_0 @ B ) ) ) ),file(membered,cc14_membered)).
thf(cc21_membered,axiom,( ! [A: $i] : ( ( v3_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v3_membered @ B ) ) ) ),file(membered,cc21_membered)).
thf(cc4_membered,axiom,( ! [A: $i] : ( ( v3_membered @ A ) => ( v2_membered @ A ) ) ),file(membered,cc4_membered)).
thf(cc5_membered,axiom,( ! [A: $i] : ( ( v3_membered @ A ) => ( v1_membered @ A ) ) ),file(membered,cc5_membered)).
thf(cc15_membered,axiom,( ! [A: $i] : ( ( v4_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_rat_1 @ B ) ) ) ),file(membered,cc15_membered)).
thf(cc22_membered,axiom,( ! [A: $i] : ( ( v4_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v4_membered @ B ) ) ) ),file(membered,cc22_membered)).
thf(cc3_membered,axiom,( ! [A: $i] : ( ( v4_membered @ A ) => ( v3_membered @ A ) ) ),file(membered,cc3_membered)).
thf(cc16_membered,axiom,( ! [A: $i] : ( ( v5_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_int_1 @ B ) ) ) ),file(membered,cc16_membered)).
thf(cc23_membered,axiom,( ! [A: $i] : ( ( v5_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v5_membered @ B ) ) ) ),file(membered,cc23_membered)).
thf(cc2_membered,axiom,( ! [A: $i] : ( ( v5_membered @ A ) => ( v4_membered @ A ) ) ),file(membered,cc2_membered)).
thf(cc2_ordinal1,axiom,( ! [A: $i] : ( ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc2_ordinal1)).
thf(rc2_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) ) ),file(ordinal1,rc2_ordinal1)).
thf(cc10_ordinal1,axiom,( ! [A: $i] : ( ( v6_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v6_ordinal1 @ B ) ) ) ),file(ordinal1,cc10_ordinal1)).
thf(cc17_membered,axiom,( ! [A: $i] : ( ( v6_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v7_ordinal1 @ B ) ) ) ),file(membered,cc17_membered)).
thf(cc1_membered,axiom,( ! [A: $i] : ( ( v6_membered @ A ) => ( v5_membered @ A ) ) ),file(membered,cc1_membered)).
thf(cc1_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) ) ),file(ordinal1,cc1_ordinal1)).
thf(cc24_membered,axiom,( ! [A: $i] : ( ( v6_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v6_membered @ B ) ) ) ),file(membered,cc24_membered)).
thf(cc2_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( ~ ( v1_subset_1 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ) ),file(subset_1,cc2_subset_1)).
thf(cc5_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v3_ordinal1 @ B ) ) ) ),file(ordinal1,cc5_ordinal1)).
thf(cc6_ordinal1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc6_ordinal1)).
thf(rc1_membered,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v6_membered @ A ) ) ),file(membered,rc1_membered)).
thf(rc1_ordinal1,axiom,( ? [A: $i] : ( v3_ordinal1 @ A ) ),file(ordinal1,rc1_ordinal1)).
thf(rc2_membered,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v6_membered @ A ) ) ),file(membered,rc2_membered)).
thf(rc3_membered,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v6_membered @ A ) & ( v7_membered @ A ) ) ),file(membered,rc3_membered)).
thf(rc3_ordinal1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v5_ordinal1 @ B ) ) ),file(ordinal1,rc3_ordinal1)).
thf(rc3_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_subset_1 @ B @ A ) ) ),file(subset_1,rc3_subset_1)).
thf(rc4_ordinal1,axiom,( ? [A: $i] : ( v7_ordinal1 @ A ) ),file(ordinal1,rc4_ordinal1)).
thf(rc4_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,rc4_subset_1)).
thf(rc5_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) ) ),file(ordinal1,rc5_ordinal1)).
thf(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_m1_qc_lang1,axiom,( $true ),file(qc_lang1,m1_qc_lang1)).
thf(cc18_membered,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v6_membered @ A ) ) ),file(membered,cc18_membered)).
thf(cc1_qc_lang1,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ( ( v1_relat_1 @ A ) & ~ ( v1_xboole_0 @ A ) ) ) ),file(qc_lang1,cc1_qc_lang1)).
thf(cc1_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_xboole_0 @ B ) ) ) ),file(subset_1,cc1_subset_1)).
thf(cc26_membered,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v7_membered @ A ) ) ),file(membered,cc26_membered)).
thf(cc3_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc3_ordinal1)).
thf(cc3_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc3_relset_1)).
thf(cc3_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( ( v1_xboole_0 @ B ) => ( v1_subset_1 @ B @ A ) ) ) ) ),file(subset_1,cc3_subset_1)).
thf(cc4_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_ordinal1 @ A ) ) ),file(ordinal1,cc4_ordinal1)).
thf(cc4_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc4_relset_1)).
thf(cc4_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ~ ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,cc4_subset_1)).
thf(cc7_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v7_ordinal1 @ A ) ) ),file(ordinal1,cc7_ordinal1)).
thf(cc9_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v6_ordinal1 @ A ) ) ),file(ordinal1,cc9_ordinal1)).
thf(fc10_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(subset_1,fc10_subset_1)).
thf(rc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ),file(relset_1,rc1_relset_1)).
thf(rc1_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(subset_1,rc1_subset_1)).
thf(rc2_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v1_xboole_0 @ B ) ) ),file(subset_1,rc2_subset_1)).
thf(redefinition_k3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( m1_subset_1 @ D @ A ) ) => ( = @ ( k3_funct_2 @ A @ B @ C @ D ) @ ( k1_funct_1 @ C @ D ) ) ) ),file(funct_2,k3_funct_2)).
thf(dt_k12_qc_lang1,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ( m1_subset_1 @ ( k12_qc_lang1 @ A ) @ ( k9_qc_lang1 @ A ) ) ) ),file(qc_lang1,k12_qc_lang1)).
thf(dt_k18_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k9_qc_lang1 @ A ) ) ) => ( m1_subset_1 @ ( k18_qc_lang1 @ A @ B ) @ ( k9_qc_lang1 @ A ) ) ) ),file(qc_lang1,k18_qc_lang1)).
thf(dt_k19_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k9_qc_lang1 @ A ) ) ) => ( m1_subset_1 @ ( k19_qc_lang1 @ A @ B ) @ ( k9_qc_lang1 @ A ) ) ) ),file(qc_lang1,k19_qc_lang1)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k20_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k9_qc_lang1 @ A ) ) ) => ( m1_subset_1 @ ( k20_qc_lang1 @ A @ B ) @ ( k9_qc_lang1 @ A ) ) ) ),file(qc_lang1,k20_qc_lang1)).
thf(dt_k22_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k9_qc_lang1 @ A ) ) ) => ( m1_subset_1 @ ( k22_qc_lang1 @ A @ B ) @ ( k9_qc_lang1 @ A ) ) ) ),file(qc_lang1,k22_qc_lang1)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( m1_subset_1 @ D @ A ) ) => ( m1_subset_1 @ ( k3_funct_2 @ A @ B @ C @ D ) @ B ) ) ),file(funct_2,k3_funct_2)).
thf(dt_k9_qc_lang1,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ~ ( v1_xboole_0 @ ( k9_qc_lang1 @ A ) ) ) ),file(qc_lang1,k9_qc_lang1)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_f1_s2_qc_lang3,axiom,( m1_qc_lang1 @ f1_s2_qc_lang3 ),file(qc_lang3,f1_s2_qc_lang3)).
thf(dt_f2_s2_qc_lang3,axiom,( ~ ( v1_xboole_0 @ f2_s2_qc_lang3 ) ),file(qc_lang3,f2_s2_qc_lang3)).
thf(dt_f3_s2_qc_lang3,axiom,( m1_subset_1 @ f3_s2_qc_lang3 @ f2_s2_qc_lang3 ),file(qc_lang3,f3_s2_qc_lang3)).
thf(dt_f5_s2_qc_lang3,axiom,( ! [A: $i] : ( m1_subset_1 @ ( f5_s2_qc_lang3 @ A ) @ f2_s2_qc_lang3 ) ),file(qc_lang3,f5_s2_qc_lang3)).
thf(dt_f6_s2_qc_lang3,axiom,( ! [A: $i] : ( m1_subset_1 @ ( f6_s2_qc_lang3 @ A ) @ f2_s2_qc_lang3 ) ),file(qc_lang3,f6_s2_qc_lang3)).
thf(dt_f7_s2_qc_lang3,axiom,( ! [A: $i] : ! [B: $i] : ( m1_subset_1 @ ( f7_s2_qc_lang3 @ A @ B ) @ f2_s2_qc_lang3 ) ),file(qc_lang3,f7_s2_qc_lang3)).
thf(dt_f8_s2_qc_lang3,axiom,( ! [A: $i] : ! [B: $i] : ( m1_subset_1 @ ( f8_s2_qc_lang3 @ A @ B ) @ f2_s2_qc_lang3 ) ),file(qc_lang3,f8_s2_qc_lang3)).
thf(cc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_relat_1 @ C ) ) ),file(relset_1,cc1_relset_1)).
thf(cc2_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ) ),file(relset_1,cc2_relset_1)).
thf(fc1_subset_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) ),file(subset_1,fc1_subset_1)).
thf(s3_qc_lang1,axiom,( ! [A: $i > $i > $i] : ! [B: $i > $i > $i] : ! [C: $i > $i] : ! [D: $i > $i] : ! [E: $i] : ! [F: $i] : ! [G: $i] : ? [H: $i] : ( ( v1_funct_1 @ H ) & ( v1_funct_2 @ H @ ( k9_qc_lang1 @ G ) @ F ) & ( m1_subset_1 @ H @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k9_qc_lang1 @ G ) @ F ) ) ) & ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ G ) @ F @ H @ ( k12_qc_lang1 @ G ) ) @ E ) & ! [I: $i] : ( ( m1_subset_1 @ I @ ( k9_qc_lang1 @ G ) ) => ( ( ( v2_qc_lang1 @ I @ G ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ G ) @ F @ H @ I ) @ ( D @ I ) ) ) & ( ( v3_qc_lang1 @ I @ G ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ G ) @ F @ H @ I ) @ ( C @ ( k3_funct_2 @ ( k9_qc_lang1 @ G ) @ F @ H @ ( k18_qc_lang1 @ G @ I ) ) ) ) ) & ( ( v4_qc_lang1 @ I @ G ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ G ) @ F @ H @ I ) @ ( B @ ( k3_funct_2 @ ( k9_qc_lang1 @ G ) @ F @ H @ ( k19_qc_lang1 @ G @ I ) ) @ ( k3_funct_2 @ ( k9_qc_lang1 @ G ) @ F @ H @ ( k20_qc_lang1 @ G @ I ) ) ) ) ) & ( ( v5_qc_lang1 @ I @ G ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ G ) @ F @ H @ I ) @ ( A @ I @ ( k3_funct_2 @ ( k9_qc_lang1 @ G ) @ F @ H @ ( k22_qc_lang1 @ G @ I ) ) ) ) ) ) ) ) ),file(qc_lang1,s3_qc_lang1)).
thf(e1_2_1_1__qc_lang3,conjecture,( ? [A: $i] : ( ( v1_funct_1 @ A ) & ( v1_funct_2 @ A @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 ) & ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 ) ) ) & ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 @ A @ ( k12_qc_lang1 @ f1_s2_qc_lang3 ) ) @ f3_s2_qc_lang3 ) & ! [B: $i] : ( ( m1_subset_1 @ B @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) ) => ( ( ( v2_qc_lang1 @ B @ f1_s2_qc_lang3 ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 @ A @ B ) @ ( f5_s2_qc_lang3 @ B ) ) ) & ( ( v3_qc_lang1 @ B @ f1_s2_qc_lang3 ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 @ A @ B ) @ ( f6_s2_qc_lang3 @ ( k3_funct_2 @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 @ A @ ( k18_qc_lang1 @ f1_s2_qc_lang3 @ B ) ) ) ) ) & ( ( v4_qc_lang1 @ B @ f1_s2_qc_lang3 ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 @ A @ B ) @ ( f7_s2_qc_lang3 @ ( k3_funct_2 @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 @ A @ ( k19_qc_lang1 @ f1_s2_qc_lang3 @ B ) ) @ ( k3_funct_2 @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 @ A @ ( k20_qc_lang1 @ f1_s2_qc_lang3 @ B ) ) ) ) ) & ( ( v5_qc_lang1 @ B @ f1_s2_qc_lang3 ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 @ A @ B ) @ ( f8_s2_qc_lang3 @ B @ ( k3_funct_2 @ ( k9_qc_lang1 @ f1_s2_qc_lang3 ) @ f2_s2_qc_lang3 @ A @ ( k22_qc_lang1 @ f1_s2_qc_lang3 @ B ) ) ) ) ) ) ) ) ),file(qc_lang3,e1_2_1_1__qc_lang3)).
