% Mizar problem: e5_38,cqc_lang,1107,19 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_38_type,type,( c1_38__cqc_lang: $i )).
thf(c2_38_type,type,( c2_38__cqc_lang: $i )).
thf(c3_38_type,type,( c3_38__cqc_lang: $i )).
thf(c4_38_type,type,( c4_38__cqc_lang: $i )).
thf(k10_qc_lang1_type,type,( k10_qc_lang1: $i > $i > $i > $i )).
thf(k12_qc_lang1_type,type,( k12_qc_lang1: $i > $i )).
thf(k13_qc_lang1_type,type,( k13_qc_lang1: $i > $i > $i )).
thf(k14_funcop_1_type,type,( k14_funcop_1: $i > $i > $i > $i > $i )).
thf(k14_qc_lang1_type,type,( k14_qc_lang1: $i > $i > $i > $i )).
thf(k15_funcop_1_type,type,( k15_funcop_1: $i > $i > $i > $i > $i > $i )).
thf(k15_qc_lang1_type,type,( k15_qc_lang1: $i > $i > $i > $i )).
thf(k16_funcop_1_type,type,( k16_funcop_1: $i > $i > $i )).
thf(k16_qc_lang1_type,type,( k16_qc_lang1: $i > $i > $i )).
thf(k17_qc_lang1_type,type,( k17_qc_lang1: $i > $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_cqc_lang_type,type,( k1_cqc_lang: $i > $i > $i > $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k1_numbers_type,type,( k1_numbers: $i )).
thf(k1_tarski_type,type,( k1_tarski: $i > $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $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(k21_qc_lang1_type,type,( k21_qc_lang1: $i > $i > $i )).
thf(k22_qc_lang1_type,type,( k22_qc_lang1: $i > $i > $i )).
thf(k2_cqc_lang_type,type,( k2_cqc_lang: $i > $i > $i > $i )).
thf(k2_qc_lang1_type,type,( k2_qc_lang1: $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_cqc_lang_type,type,( k3_cqc_lang: $i > $i )).
thf(k3_funct_2_type,type,( k3_funct_2: $i > $i > $i > $i > $i )).
thf(k3_qc_lang1_type,type,( k3_qc_lang1: $i > $i )).
thf(k3_qc_lang3_type,type,( k3_qc_lang3: $i > $i > $i )).
thf(k4_ordinal1_type,type,( k4_ordinal1: $i )).
thf(k5_cqc_lang_type,type,( k5_cqc_lang: $i > $i )).
thf(k5_numbers_type,type,( k5_numbers: $i )).
thf(k5_qc_lang1_type,type,( k5_qc_lang1: $i > $i )).
thf(k6_numbers_type,type,( k6_numbers: $i )).
thf(k6_qc_lang1_type,type,( k6_qc_lang1: $i > $i )).
thf(k9_qc_lang1_type,type,( k9_qc_lang1: $i > $i )).
thf(m1_finseq_1_type,type,( m1_finseq_1: $i > $i > $o )).
thf(m1_qc_lang1_type,type,( m1_qc_lang1: $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(m2_finseq_1_type,type,( m2_finseq_1: $i > $i > $o )).
thf(m2_subset_1_type,type,( m2_subset_1: $i > $i > $i > $o )).
thf(r2_funct_2_type,type,( r2_funct_2: $i > $i > $i > $i > $o )).
thf(v1_card_1_type,type,( v1_card_1: $i > $o )).
thf(v1_finseq_1_type,type,( v1_finseq_1: $i > $o )).
thf(v1_finset_1_type,type,( v1_finset_1: $i > $o )).
thf(v1_funcop_1_type,type,( v1_funcop_1: $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_rat_1_type,type,( v1_rat_1: $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $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(v1_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v2_card_1_type,type,( v2_card_1: $i > $o )).
thf(v2_funcop_1_type,type,( v2_funcop_1: $i > $o )).
thf(v2_funct_1_type,type,( v2_funct_1: $i > $o )).
thf(v2_membered_type,type,( v2_membered: $i > $o )).
thf(v2_qc_lang1_type,type,( v2_qc_lang1: $i > $i > $o )).
thf(v2_xxreal_0_type,type,( v2_xxreal_0: $i > $o )).
thf(v3_card_1_type,type,( v3_card_1: $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(v3_xxreal_0_type,type,( v3_xxreal_0: $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_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(v7_membered_type,type,( v7_membered: $i > $o )).
thf(v7_ordinal1_type,type,( v7_ordinal1: $i > $o )).
thf(cc4_xxreal_0,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) & ~ ( v3_xxreal_0 @ A ) ) => ( ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc4_xxreal_0)).
thf(cc5_xxreal_0,axiom,( ! [A: $i] : ( ( ( v1_xxreal_0 @ A ) & ( v3_xxreal_0 @ A ) ) => ( ~ ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) & ~ ( v2_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc5_xxreal_0)).
thf(cc8_xxreal_0,axiom,( ! [A: $i] : ( ( ( v1_xxreal_0 @ A ) & ~ ( v2_xxreal_0 @ A ) & ~ ( v3_xxreal_0 @ A ) ) => ( ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc8_xxreal_0)).
thf(fc10_membered,axiom,( ! [A: $i] : ( ( v1_rat_1 @ A ) => ( v4_membered @ ( k1_tarski @ A ) ) ) ),file(membered,fc10_membered)).
thf(rc3_xxreal_0,axiom,( ? [A: $i] : ( ( v1_xxreal_0 @ A ) & ( v3_xxreal_0 @ A ) ) ),file(xxreal_0,rc3_xxreal_0)).
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(cc3_xxreal_0,axiom,( ! [A: $i] : ( ( ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) ) => ( ~ ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) & ~ ( v3_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc3_xxreal_0)).
thf(cc6_xxreal_0,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) & ~ ( v2_xxreal_0 @ A ) ) => ( ( v1_xxreal_0 @ A ) & ( v3_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc6_xxreal_0)).
thf(cc7_xxreal_0,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) ) => ( ( v1_xxreal_0 @ A ) & ~ ( v2_xxreal_0 @ A ) & ~ ( v3_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc7_xxreal_0)).
thf(fc11_membered,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( v5_membered @ ( k1_tarski @ A ) ) ) ),file(membered,fc11_membered)).
thf(fc7_membered,axiom,( ! [A: $i] : ( ( v1_xcmplx_0 @ A ) => ( v1_membered @ ( k1_tarski @ A ) ) ) ),file(membered,fc7_membered)).
thf(fc8_membered,axiom,( ! [A: $i] : ( ( v1_xxreal_0 @ A ) => ( v2_membered @ ( k1_tarski @ A ) ) ) ),file(membered,fc8_membered)).
thf(rc1_xxreal_0,axiom,( ? [A: $i] : ( v1_xxreal_0 @ A ) ),file(xxreal_0,rc1_xxreal_0)).
thf(rc2_xxreal_0,axiom,( ? [A: $i] : ( ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) ) ),file(xxreal_0,rc2_xxreal_0)).
thf(rc4_xxreal_0,axiom,( ? [A: $i] : ( ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) ) ),file(xxreal_0,rc4_xxreal_0)).
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(cc16_membered,axiom,( ! [A: $i] : ( ( v5_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_int_1 @ B ) ) ) ),file(membered,cc16_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(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_xxreal_0,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_xxreal_0 @ A ) ) ),file(xxreal_0,cc2_xxreal_0)).
thf(cc3_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc3_card_1)).
thf(cc5_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc5_card_1)).
thf(cc6_card_1,axiom,( ! [A: $i] : ( ( ( v3_ordinal1 @ A ) & ( v1_finset_1 @ A ) ) => ( v7_ordinal1 @ A ) ) ),file(card_1,cc6_card_1)).
thf(cc9_card_1,axiom,( ! [A: $i] : ( ( v3_card_1 @ A @ np__1 ) => ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) ) ) ),file(card_1,cc9_card_1)).
thf(fc10_card_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_finset_1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(card_1,fc10_card_1)).
thf(fc11_card_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_finset_1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_finset_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) ),file(card_1,fc11_card_1)).
thf(fc12_membered,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v6_membered @ ( k1_tarski @ A ) ) ) ),file(membered,fc12_membered)).
thf(fc9_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(card_1,fc9_card_1)).
thf(fc9_membered,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v3_membered @ ( k1_tarski @ A ) ) ) ),file(membered,fc9_membered)).
thf(rc3_card_1,axiom,( ? [A: $i] : ~ ( v1_finset_1 @ A ) ),file(card_1,rc3_card_1)).
thf(rc4_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_finset_1 @ B ) ) ) ),file(card_1,rc4_card_1)).
thf(rc7_card_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v3_card_1 @ B @ np__1 ) ) ) ),file(card_1,rc7_card_1)).
thf(spc1_numerals,axiom,( ( v2_xxreal_0 @ np__1 ) & ( m2_subset_1 @ np__1 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__1 @ k5_numbers ) & ( m1_subset_1 @ np__1 @ k1_numbers ) ),file(numerals,spc1_numerals)).
thf(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
thf(dt_k1_tarski,axiom,( $true ),file(tarski,k1_tarski)).
thf(dt_k4_ordinal1,axiom,( $true ),file(ordinal1,k4_ordinal1)).
thf(cc10_card_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) ) => ( v3_card_1 @ A @ np__1 ) ) ),file(card_1,cc10_card_1)).
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(cc17_membered,axiom,( ! [A: $i] : ( ( v6_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v7_ordinal1 @ B ) ) ) ),file(membered,cc17_membered)).
thf(cc1_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(card_1,cc1_card_1)).
thf(cc1_membered,axiom,( ! [A: $i] : ( ( v6_membered @ A ) => ( v5_membered @ A ) ) ),file(membered,cc1_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(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_funcop_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funcop_1 @ A ) ) ) ),file(funcop_1,cc2_funcop_1)).
thf(cc4_card_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k4_ordinal1 ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc4_card_1)).
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(cc7_card_1,axiom,( ! [A: $i] : ( ( v3_card_1 @ A @ k1_xboole_0 ) => ( v1_xboole_0 @ A ) ) ),file(card_1,cc7_card_1)).
thf(fc13_card_1,axiom,( ! [A: $i] : ( v3_card_1 @ ( k1_tarski @ A ) @ np__1 ) ),file(card_1,fc13_card_1)).
thf(fc1_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ k5_numbers ) & ( v3_card_1 @ C @ B ) & ( m1_finseq_1 @ C @ ( k2_qc_lang1 @ A ) ) & ( v1_funct_1 @ D ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k5_qc_lang1 @ A ) @ ( k2_qc_lang1 @ A ) ) ) ) ) => ( v3_card_1 @ ( k1_cqc_lang @ A @ C @ D ) @ B ) ) ),file(cqc_lang,fc1_cqc_lang)).
thf(fc2_xboole_0,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) ),file(xboole_0,fc2_xboole_0)).
thf(fc4_card_1,axiom,( v1_card_1 @ k4_ordinal1 ),file(card_1,fc4_card_1)).
thf(fc59_membered,axiom,( v7_membered @ k4_ordinal1 ),file(membered,fc59_membered)).
thf(fc5_card_1,axiom,( v2_card_1 @ k4_ordinal1 ),file(card_1,fc5_card_1)).
thf(fc6_membered,axiom,( v6_membered @ k4_ordinal1 ),file(membered,fc6_membered)).
thf(fc7_card_1,axiom,( ~ ( v1_finset_1 @ k4_ordinal1 ) ),file(card_1,fc7_card_1)).
thf(fc8_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) => ( ( v1_relat_1 @ ( k1_funct_1 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_1 @ A @ B ) ) ) ) ),file(funcop_1,fc8_funcop_1)).
thf(rc1_card_1,axiom,( ? [A: $i] : ( v1_card_1 @ A ) ),file(card_1,rc1_card_1)).
thf(rc1_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ k5_numbers ) ) => ? [C: $i] : ( ( m1_finseq_1 @ C @ ( k2_qc_lang1 @ A ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ k5_numbers ) & ( v5_relat_1 @ C @ ( k2_qc_lang1 @ A ) ) & ( v5_relat_1 @ C @ ( k3_qc_lang1 @ A ) ) & ( v1_funct_1 @ C ) & ( v3_card_1 @ C @ B ) & ( v1_finseq_1 @ C ) ) ) ),file(cqc_lang,rc1_cqc_lang)).
thf(rc1_funcop_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) ),file(funcop_1,rc1_funcop_1)).
thf(rc1_membered,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v6_membered @ A ) ) ),file(membered,rc1_membered)).
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(rc5_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ? [B: $i] : ( v3_card_1 @ B @ A ) ) ),file(card_1,rc5_card_1)).
thf(rc6_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v3_card_1 @ B @ A ) ) ) ),file(card_1,rc6_card_1)).
thf(redefinition_k5_numbers,axiom,( = @ k5_numbers @ k4_ordinal1 ),file(numbers,k5_numbers)).
thf(redefinition_m2_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m2_finseq_1 @ B @ A ) <=> ( m1_finseq_1 @ B @ A ) ) ),file(finseq_1,m2_finseq_1)).
thf(dt_k14_funcop_1,axiom,( $true ),file(funcop_1,k14_funcop_1)).
thf(dt_k16_funcop_1,axiom,( $true ),file(funcop_1,k16_funcop_1)).
thf(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_k1_numbers,axiom,( $true ),file(numbers,k1_numbers)).
thf(dt_k1_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_0)).
thf(dt_k3_cqc_lang,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ( m1_subset_1 @ ( k3_cqc_lang @ A ) @ ( k1_zfmisc_1 @ ( k9_qc_lang1 @ A ) ) ) ) ),file(cqc_lang,k3_cqc_lang)).
thf(dt_k5_numbers,axiom,( m1_subset_1 @ k5_numbers @ ( k1_zfmisc_1 @ k1_numbers ) ),file(numbers,k5_numbers)).
thf(dt_k5_qc_lang1,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ( m1_subset_1 @ ( k5_qc_lang1 @ A ) @ ( k1_zfmisc_1 @ ( k2_qc_lang1 @ A ) ) ) ) ),file(qc_lang1,k5_qc_lang1)).
thf(dt_k6_qc_lang1,axiom,( $true ),file(qc_lang1,k6_qc_lang1)).
thf(dt_m1_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_finseq_1 @ B @ A ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) ) ) ),file(finseq_1,m1_finseq_1)).
thf(dt_m2_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m2_finseq_1 @ B @ A ) => ( ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ A ) ) ) ) ) ),file(finseq_1,m2_finseq_1)).
thf(cc11_membered,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ k5_numbers ) ) => ( v6_membered @ A ) ) ),file(membered,cc11_membered)).
thf(cc18_membered,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v6_membered @ A ) ) ),file(membered,cc18_membered)).
thf(cc25_membered,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k5_numbers ) => ( v6_membered @ A ) ) ),file(membered,cc25_membered)).
thf(cc26_membered,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v7_membered @ A ) ) ),file(membered,cc26_membered)).
thf(cc2_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc2_card_1)).
thf(cc3_funcop_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) ) ),file(funcop_1,cc3_funcop_1)).
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(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(cc8_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_card_1 @ A @ k1_xboole_0 ) ) ),file(card_1,cc8_card_1)).
thf(cc8_membered,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ k1_numbers ) ) => ( v3_membered @ A ) ) ),file(membered,cc8_membered)).
thf(fc11_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ ( k16_funcop_1 @ A @ B ) ) & ( v1_funct_1 @ ( k16_funcop_1 @ A @ B ) ) ) ),file(funcop_1,fc11_funcop_1)).
thf(fc12_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( v2_funct_1 @ ( k16_funcop_1 @ A @ B ) ) ),file(funcop_1,fc12_funcop_1)).
thf(fc13_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( v1_zfmisc_1 @ ( k16_funcop_1 @ A @ B ) ) ),file(funct_4,fc13_funct_4)).
thf(fc18_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( v4_relat_1 @ ( k16_funcop_1 @ A @ B ) @ ( k1_tarski @ A ) ) ),file(funcop_1,fc18_funcop_1)).
thf(fc19_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( v1_funcop_1 @ ( k16_funcop_1 @ A @ B ) ) ) ),file(funcop_1,fc19_funcop_1)).
thf(fc1_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_0)).
thf(fc21_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ C @ A ) ) => ( v5_relat_1 @ ( k16_funcop_1 @ B @ C ) @ A ) ) ),file(funcop_1,fc21_funcop_1)).
thf(fc23_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ A ) ) => ( v4_relat_1 @ ( k16_funcop_1 @ B @ C ) @ A ) ) ),file(funcop_1,fc23_funcop_1)).
thf(fc2_cqc_lang,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ~ ( v1_xboole_0 @ ( k3_cqc_lang @ A ) ) ) ),file(cqc_lang,fc2_cqc_lang)).
thf(fc3_membered,axiom,( v3_membered @ k1_numbers ),file(membered,fc3_membered)).
thf(fc56_membered,axiom,( v7_membered @ k1_numbers ),file(membered,fc56_membered)).
thf(fc5_qc_lang1,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ~ ( v1_xboole_0 @ ( k5_qc_lang1 @ A ) ) ) ),file(qc_lang1,fc5_qc_lang1)).
thf(fc6_qc_lang1,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ~ ( v1_xboole_0 @ ( k6_qc_lang1 @ A ) ) ) ),file(qc_lang1,fc6_qc_lang1)).
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_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(symmetry_r2_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) => ( ( r2_funct_2 @ A @ B @ C @ D ) => ( r2_funct_2 @ A @ B @ D @ C ) ) ) ),file(funct_2,r2_funct_2)).
thf(reflexivity_r2_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) => ( r2_funct_2 @ A @ B @ C @ C ) ) ),file(funct_2,r2_funct_2)).
thf(redefinition_k15_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ( m1_subset_1 @ D @ A ) & ( m1_subset_1 @ E @ A ) ) => ( = @ ( k15_funcop_1 @ A @ B @ C @ D @ E ) @ ( k14_funcop_1 @ B @ C @ D @ E ) ) ) ),file(funcop_1,k15_funcop_1)).
thf(redefinition_k2_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k5_qc_lang1 @ A ) ) & ( m1_subset_1 @ C @ ( k3_qc_lang1 @ A ) ) ) => ( = @ ( k2_cqc_lang @ A @ B @ C ) @ ( k16_funcop_1 @ B @ C ) ) ) ),file(cqc_lang,k2_cqc_lang)).
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(redefinition_k5_cqc_lang,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ( = @ ( k5_cqc_lang @ A ) @ ( k12_qc_lang1 @ A ) ) ) ),file(cqc_lang,k5_cqc_lang)).
thf(redefinition_k6_numbers,axiom,( = @ k6_numbers @ k1_xboole_0 ),file(numbers,k6_numbers)).
thf(redefinition_m2_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ A @ B ) <=> ( m1_subset_1 @ C @ B ) ) ) ),file(subset_1,m2_subset_1)).
thf(redefinition_r2_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) => ( ( r2_funct_2 @ A @ B @ C @ D ) <=> ( = @ C @ D ) ) ) ),file(funct_2,r2_funct_2)).
thf(dt_k10_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k6_qc_lang1 @ A ) ) & ( m1_finseq_1 @ C @ ( k2_qc_lang1 @ A ) ) ) => ( m1_subset_1 @ ( k10_qc_lang1 @ A @ B @ C ) @ ( k9_qc_lang1 @ A ) ) ) ),file(qc_lang1,k10_qc_lang1)).
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_k13_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k9_qc_lang1 @ A ) ) ) => ( m1_subset_1 @ ( k13_qc_lang1 @ A @ B ) @ ( k9_qc_lang1 @ A ) ) ) ),file(qc_lang1,k13_qc_lang1)).
thf(dt_k14_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k9_qc_lang1 @ A ) ) & ( m1_subset_1 @ C @ ( k9_qc_lang1 @ A ) ) ) => ( m1_subset_1 @ ( k14_qc_lang1 @ A @ B @ C ) @ ( k9_qc_lang1 @ A ) ) ) ),file(qc_lang1,k14_qc_lang1)).
thf(dt_k15_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ( m1_subset_1 @ D @ A ) & ( m1_subset_1 @ E @ A ) ) => ( m1_subset_1 @ ( k15_funcop_1 @ A @ B @ C @ D @ E ) @ A ) ) ),file(funcop_1,k15_funcop_1)).
thf(dt_k15_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k3_qc_lang1 @ A ) ) & ( m1_subset_1 @ C @ ( k9_qc_lang1 @ A ) ) ) => ( m1_subset_1 @ ( k15_qc_lang1 @ A @ B @ C ) @ ( k9_qc_lang1 @ A ) ) ) ),file(qc_lang1,k15_qc_lang1)).
thf(dt_k16_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k9_qc_lang1 @ A ) ) ) => ( m1_subset_1 @ ( k16_qc_lang1 @ A @ B ) @ ( k6_qc_lang1 @ A ) ) ) ),file(qc_lang1,k16_qc_lang1)).
thf(dt_k17_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k9_qc_lang1 @ A ) ) ) => ( m2_finseq_1 @ ( k17_qc_lang1 @ A @ B ) @ ( k2_qc_lang1 @ A ) ) ) ),file(qc_lang1,k17_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_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_finseq_1 @ B @ ( k2_qc_lang1 @ A ) ) & ( v1_funct_1 @ C ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k5_qc_lang1 @ A ) @ ( k2_qc_lang1 @ A ) ) ) ) ) => ( m2_finseq_1 @ ( k1_cqc_lang @ A @ B @ C ) @ ( k2_qc_lang1 @ A ) ) ) ),file(cqc_lang,k1_cqc_lang)).
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_k21_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k9_qc_lang1 @ A ) ) ) => ( m2_subset_1 @ ( k21_qc_lang1 @ A @ B ) @ ( k2_qc_lang1 @ A ) @ ( k3_qc_lang1 @ A ) ) ) ),file(qc_lang1,k21_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_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k5_qc_lang1 @ A ) ) & ( m1_subset_1 @ C @ ( k3_qc_lang1 @ A ) ) ) => ( ( v1_funct_1 @ ( k2_cqc_lang @ A @ B @ C ) ) & ( m1_subset_1 @ ( k2_cqc_lang @ A @ B @ C ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k5_qc_lang1 @ A ) @ ( k2_qc_lang1 @ A ) ) ) ) ) ) ),file(cqc_lang,k2_cqc_lang)).
thf(dt_k2_qc_lang1,axiom,( $true ),file(qc_lang1,k2_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_k3_qc_lang1,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ( m1_subset_1 @ ( k3_qc_lang1 @ A ) @ ( k1_zfmisc_1 @ ( k2_qc_lang1 @ A ) ) ) ) ),file(qc_lang1,k3_qc_lang1)).
thf(dt_k3_qc_lang3,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ k5_numbers ) ) => ( m2_subset_1 @ ( k3_qc_lang3 @ A @ B ) @ ( k2_qc_lang1 @ A ) @ ( k5_qc_lang1 @ A ) ) ) ),file(qc_lang3,k3_qc_lang3)).
thf(dt_k5_cqc_lang,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ( m2_subset_1 @ ( k5_cqc_lang @ A ) @ ( k9_qc_lang1 @ A ) @ ( k3_cqc_lang @ A ) ) ) ),file(cqc_lang,k5_cqc_lang)).
thf(dt_k6_numbers,axiom,( m2_subset_1 @ k6_numbers @ k1_numbers @ k5_numbers ),file(numbers,k6_numbers)).
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_qc_lang1,axiom,( $true ),file(qc_lang1,m1_qc_lang1)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_m2_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ A @ B ) => ( m1_subset_1 @ C @ A ) ) ) ),file(subset_1,m2_subset_1)).
thf(dt_c1_38__cqc_lang,axiom,( m1_qc_lang1 @ c1_38__cqc_lang ),file(cqc_lang,c1_38__cqc_lang)).
thf(dt_c2_38__cqc_lang,axiom,( m2_subset_1 @ c2_38__cqc_lang @ ( k2_qc_lang1 @ c1_38__cqc_lang ) @ ( k3_qc_lang1 @ c1_38__cqc_lang ) ),file(cqc_lang,c2_38__cqc_lang)).
thf(dt_c3_38__cqc_lang,axiom,( ( v1_funct_1 @ c3_38__cqc_lang ) & ( v1_funct_2 @ c3_38__cqc_lang @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) ) & ( m1_subset_1 @ c3_38__cqc_lang @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) ) ) ) ),file(cqc_lang,c3_38__cqc_lang)).
thf(dt_c4_38__cqc_lang,axiom,( ( v1_funct_1 @ c4_38__cqc_lang ) & ( v1_funct_2 @ c4_38__cqc_lang @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) ) & ( m1_subset_1 @ c4_38__cqc_lang @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) ) ) ) ),file(cqc_lang,c4_38__cqc_lang)).
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_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(fc2_qc_lang1,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ~ ( v1_xboole_0 @ ( k2_qc_lang1 @ A ) ) ) ),file(qc_lang1,fc2_qc_lang1)).
thf(fc3_qc_lang1,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ~ ( v1_xboole_0 @ ( k3_qc_lang1 @ A ) ) ) ),file(qc_lang1,fc3_qc_lang1)).
thf(e2_38__cqc_lang,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( k9_qc_lang1 @ c1_38__cqc_lang ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k9_qc_lang1 @ c1_38__cqc_lang ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k9_qc_lang1 @ c1_38__cqc_lang ) ) => ( ( ( = @ A @ ( k5_cqc_lang @ c1_38__cqc_lang ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c3_38__cqc_lang @ A ) @ ( k5_cqc_lang @ c1_38__cqc_lang ) ) ) & ( ( v2_qc_lang1 @ A @ c1_38__cqc_lang ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c3_38__cqc_lang @ A ) @ ( k10_qc_lang1 @ c1_38__cqc_lang @ ( k16_qc_lang1 @ c1_38__cqc_lang @ A ) @ ( k1_cqc_lang @ c1_38__cqc_lang @ ( k17_qc_lang1 @ c1_38__cqc_lang @ A ) @ ( k2_cqc_lang @ c1_38__cqc_lang @ ( k3_qc_lang3 @ c1_38__cqc_lang @ k6_numbers ) @ c2_38__cqc_lang ) ) ) ) ) & ( ( ( v3_qc_lang1 @ A @ c1_38__cqc_lang ) & ( = @ B @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c3_38__cqc_lang @ ( k18_qc_lang1 @ c1_38__cqc_lang @ A ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c3_38__cqc_lang @ A ) @ ( k13_qc_lang1 @ c1_38__cqc_lang @ B ) ) ) & ( ( ( v4_qc_lang1 @ A @ c1_38__cqc_lang ) & ( = @ B @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c3_38__cqc_lang @ ( k19_qc_lang1 @ c1_38__cqc_lang @ A ) ) ) & ( = @ C @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c3_38__cqc_lang @ ( k20_qc_lang1 @ c1_38__cqc_lang @ A ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c3_38__cqc_lang @ A ) @ ( k14_qc_lang1 @ c1_38__cqc_lang @ B @ C ) ) ) & ( ( ( v5_qc_lang1 @ A @ c1_38__cqc_lang ) & ( = @ B @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c3_38__cqc_lang @ ( k22_qc_lang1 @ c1_38__cqc_lang @ A ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c3_38__cqc_lang @ A ) @ ( k15_funcop_1 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k21_qc_lang1 @ c1_38__cqc_lang @ A ) @ c2_38__cqc_lang @ A @ ( k15_qc_lang1 @ c1_38__cqc_lang @ ( k21_qc_lang1 @ c1_38__cqc_lang @ A ) @ B ) ) ) ) ) ) ) ) ),file(cqc_lang,e2_38__cqc_lang)).
thf(e4_38__cqc_lang,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( k9_qc_lang1 @ c1_38__cqc_lang ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k9_qc_lang1 @ c1_38__cqc_lang ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k9_qc_lang1 @ c1_38__cqc_lang ) ) => ( ( ( = @ A @ ( k5_cqc_lang @ c1_38__cqc_lang ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c4_38__cqc_lang @ A ) @ ( k5_cqc_lang @ c1_38__cqc_lang ) ) ) & ( ( v2_qc_lang1 @ A @ c1_38__cqc_lang ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c4_38__cqc_lang @ A ) @ ( k10_qc_lang1 @ c1_38__cqc_lang @ ( k16_qc_lang1 @ c1_38__cqc_lang @ A ) @ ( k1_cqc_lang @ c1_38__cqc_lang @ ( k17_qc_lang1 @ c1_38__cqc_lang @ A ) @ ( k2_cqc_lang @ c1_38__cqc_lang @ ( k3_qc_lang3 @ c1_38__cqc_lang @ k6_numbers ) @ c2_38__cqc_lang ) ) ) ) ) & ( ( ( v3_qc_lang1 @ A @ c1_38__cqc_lang ) & ( = @ B @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c4_38__cqc_lang @ ( k18_qc_lang1 @ c1_38__cqc_lang @ A ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c4_38__cqc_lang @ A ) @ ( k13_qc_lang1 @ c1_38__cqc_lang @ B ) ) ) & ( ( ( v4_qc_lang1 @ A @ c1_38__cqc_lang ) & ( = @ B @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c4_38__cqc_lang @ ( k19_qc_lang1 @ c1_38__cqc_lang @ A ) ) ) & ( = @ C @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c4_38__cqc_lang @ ( k20_qc_lang1 @ c1_38__cqc_lang @ A ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c4_38__cqc_lang @ A ) @ ( k14_qc_lang1 @ c1_38__cqc_lang @ B @ C ) ) ) & ( ( ( v5_qc_lang1 @ A @ c1_38__cqc_lang ) & ( = @ B @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c4_38__cqc_lang @ ( k22_qc_lang1 @ c1_38__cqc_lang @ A ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c4_38__cqc_lang @ A ) @ ( k15_funcop_1 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k21_qc_lang1 @ c1_38__cqc_lang @ A ) @ c2_38__cqc_lang @ A @ ( k15_qc_lang1 @ c1_38__cqc_lang @ ( k21_qc_lang1 @ c1_38__cqc_lang @ A ) @ B ) ) ) ) ) ) ) ) ),file(cqc_lang,e4_38__cqc_lang)).
thf(s1_qc_lang3,axiom,( ! [A: $i] : ! [B: $i > $i > $i] : ! [C: $i > $i > $i] : ! [D: $i > $i] : ! [E: $i > $i] : ! [F: $i] : ! [G: $i] : ! [H: $i] : ! [I: $i] : ( ( ! [J: $i] : ( ( m1_subset_1 @ J @ ( k9_qc_lang1 @ I ) ) => ! [K: $i] : ( ( m1_subset_1 @ K @ H ) => ! [L: $i] : ( ( m1_subset_1 @ L @ H ) => ( ( ( = @ J @ ( k12_qc_lang1 @ I ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ G @ J ) @ F ) ) & ( ( v2_qc_lang1 @ J @ I ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ G @ J ) @ ( E @ J ) ) ) & ( ( ( v3_qc_lang1 @ J @ I ) & ( = @ K @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ G @ ( k18_qc_lang1 @ I @ J ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ G @ J ) @ ( D @ K ) ) ) & ( ( ( v4_qc_lang1 @ J @ I ) & ( = @ K @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ G @ ( k19_qc_lang1 @ I @ J ) ) ) & ( = @ L @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ G @ ( k20_qc_lang1 @ I @ J ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ G @ J ) @ ( C @ K @ L ) ) ) & ( ( ( v5_qc_lang1 @ J @ I ) & ( = @ K @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ G @ ( k22_qc_lang1 @ I @ J ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ G @ J ) @ ( B @ J @ K ) ) ) ) ) ) ) & ! [J: $i] : ( ( m1_subset_1 @ J @ ( k9_qc_lang1 @ I ) ) => ! [K: $i] : ( ( m1_subset_1 @ K @ H ) => ! [L: $i] : ( ( m1_subset_1 @ L @ H ) => ( ( ( = @ J @ ( k12_qc_lang1 @ I ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ A @ J ) @ F ) ) & ( ( v2_qc_lang1 @ J @ I ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ A @ J ) @ ( E @ J ) ) ) & ( ( ( v3_qc_lang1 @ J @ I ) & ( = @ K @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ A @ ( k18_qc_lang1 @ I @ J ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ A @ J ) @ ( D @ K ) ) ) & ( ( ( v4_qc_lang1 @ J @ I ) & ( = @ K @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ A @ ( k19_qc_lang1 @ I @ J ) ) ) & ( = @ L @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ A @ ( k20_qc_lang1 @ I @ J ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ A @ J ) @ ( C @ K @ L ) ) ) & ( ( ( v5_qc_lang1 @ J @ I ) & ( = @ K @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ A @ ( k22_qc_lang1 @ I @ J ) ) ) ) => ( = @ ( k3_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ A @ J ) @ ( B @ J @ K ) ) ) ) ) ) ) ) => ( r2_funct_2 @ ( k9_qc_lang1 @ I ) @ H @ G @ A ) ) ),file(qc_lang3,s1_qc_lang3)).
thf(e5_38__cqc_lang,conjecture,( r2_funct_2 @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ ( k9_qc_lang1 @ c1_38__cqc_lang ) @ c3_38__cqc_lang @ c4_38__cqc_lang ),file(cqc_lang,e5_38__cqc_lang)).
