% Mizar problem: e11_14_1_2,valuat_1,463,16 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_14_type,type,( c1_14__valuat_1: $i )).
thf(c2_14_type,type,( c2_14__valuat_1: $i )).
thf(c3_14_type,type,( c3_14__valuat_1: $i )).
thf(c5_14_1_2_type,type,( c5_14_1_2__valuat_1: $i )).
thf(c6_14_1_2_type,type,( c6_14_1_2__valuat_1: $i )).
thf(k10_qc_lang1_type,type,( k10_qc_lang1: $i > $i > $i > $i )).
thf(k11_cqc_lang_type,type,( k11_cqc_lang: $i > $i > $i > $i )).
thf(k12_qc_lang1_type,type,( k12_qc_lang1: $i > $i )).
thf(k13_margrel1_type,type,( k13_margrel1: $i > $i )).
thf(k13_qc_lang1_type,type,( k13_qc_lang1: $i > $i > $i )).
thf(k14_margrel1_type,type,( k14_margrel1: $i > $i > $i )).
thf(k14_qc_lang1_type,type,( k14_qc_lang1: $i > $i > $i > $i )).
thf(k15_margrel1_type,type,( k15_margrel1: $i > $i > $i )).
thf(k15_qc_lang1_type,type,( k15_qc_lang1: $i > $i > $i > $i )).
thf(k16_margrel1_type,type,( k16_margrel1: $i > $i > $i > $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k1_funct_2_type,type,( k1_funct_2: $i > $i > $i )).
thf(k1_funct_7_type,type,( k1_funct_7: $i > $i > $i )).
thf(k1_margrel1_type,type,( k1_margrel1: $i > $i > $i > $i )).
thf(k1_numbers_type,type,( k1_numbers: $i )).
thf(k1_valuat_1_type,type,( k1_valuat_1: $i > $i > $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_funcop_1_type,type,( k2_funcop_1: $i > $i > $i )).
thf(k2_qc_lang1_type,type,( k2_qc_lang1: $i > $i )).
thf(k2_valuat_1_type,type,( k2_valuat_1: $i > $i > $i )).
thf(k2_xboolean_type,type,( k2_xboolean: $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_margrel1_type,type,( k3_margrel1: $i > $i )).
thf(k3_qc_lang1_type,type,( k3_qc_lang1: $i > $i )).
thf(k3_valuat_1_type,type,( k3_valuat_1: $i > $i > $i > $i > $i )).
thf(k4_cqc_lang_type,type,( k4_cqc_lang: $i > $i > $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_valuat_1_type,type,( k5_valuat_1: $i > $i > $i > $i > $i > $i )).
thf(k6_cqc_lang_type,type,( k6_cqc_lang: $i > $i > $i )).
thf(k6_margrel1_type,type,( k6_margrel1: $i )).
thf(k6_qc_lang1_type,type,( k6_qc_lang1: $i > $i )).
thf(k6_valuat_1_type,type,( k6_valuat_1: $i > $i > $i > $i > $i )).
thf(k7_cqc_lang_type,type,( k7_cqc_lang: $i > $i > $i > $i )).
thf(k7_valuat_1_type,type,( k7_valuat_1: $i > $i > $i > $i > $i > $i )).
thf(k8_margrel1_type,type,( k8_margrel1: $i )).
thf(k8_qc_lang1_type,type,( k8_qc_lang1: $i > $i > $i )).
thf(k9_funct_2_type,type,( k9_funct_2: $i > $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_funct_2_type,type,( m1_funct_2: $i > $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(m1_valuat_1_type,type,( m1_valuat_1: $i > $i > $i > $o )).
thf(m2_finseq_1_type,type,( m2_finseq_1: $i > $i > $o )).
thf(m2_funct_2_type,type,( m2_funct_2: $i > $i > $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_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_margrel1_type,type,( v1_margrel1: $i > $o )).
thf(v1_membered_type,type,( v1_membered: $i > $o )).
thf(v1_partfun1_type,type,( v1_partfun1: $i > $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_xboolean_type,type,( v1_xboolean: $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_card_3_type,type,( v2_card_3: $i > $o )).
thf(v2_funct_1_type,type,( v2_funct_1: $i > $o )).
thf(v2_membered_type,type,( v2_membered: $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_funct_1_type,type,( v3_funct_1: $i > $o )).
thf(v3_membered_type,type,( v3_membered: $i > $o )).
thf(v3_ordinal1_type,type,( v3_ordinal1: $i > $o )).
thf(v3_xxreal_0_type,type,( v3_xxreal_0: $i > $o )).
thf(v4_funct_1_type,type,( v4_funct_1: $i > $o )).
thf(v4_membered_type,type,( v4_membered: $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_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(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(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(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(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(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(rc2_xxreal_0,axiom,( ? [A: $i] : ( ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) ) ),file(xxreal_0,rc2_xxreal_0)).
thf(rc3_xxreal_0,axiom,( ? [A: $i] : ( ( v1_xxreal_0 @ A ) & ( v3_xxreal_0 @ A ) ) ),file(xxreal_0,rc3_xxreal_0)).
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(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(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(cc15_membered,axiom,( ! [A: $i] : ( ( v4_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_rat_1 @ B ) ) ) ),file(membered,cc15_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(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(cc6_funct_1,axiom,( ! [A: $i] : ( ( ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) ) ) ),file(funct_1,cc6_funct_1)).
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(rc1_xxreal_0,axiom,( ? [A: $i] : ( v1_xxreal_0 @ A ) ),file(xxreal_0,rc1_xxreal_0)).
thf(rc4_xxreal_0,axiom,( ? [A: $i] : ( ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) ) ),file(xxreal_0,rc4_xxreal_0)).
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(cc16_membered,axiom,( ! [A: $i] : ( ( v5_membered @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_int_1 @ B ) ) ) ),file(membered,cc16_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(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(cc4_membered,axiom,( ! [A: $i] : ( ( v3_membered @ A ) => ( v2_membered @ A ) ) ),file(membered,cc4_membered)).
thf(cc5_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc5_card_1)).
thf(cc5_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) => ( ~ ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ) ),file(funct_1,cc5_funct_1)).
thf(cc5_membered,axiom,( ! [A: $i] : ( ( v3_membered @ A ) => ( v1_membered @ A ) ) ),file(membered,cc5_membered)).
thf(cc6_card_1,axiom,( ! [A: $i] : ( ( ( v3_ordinal1 @ A ) & ( v1_finset_1 @ A ) ) => ( v7_ordinal1 @ A ) ) ),file(card_1,cc6_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(fc9_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(card_1,fc9_card_1)).
thf(rc2_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funct_1 @ A ) ) ),file(funct_1,rc2_funct_1)).
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(rc5_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) ),file(funct_1,rc5_funct_1)).
thf(involutiveness_k13_margrel1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_margrel1 @ A ) ) => ( = @ ( k13_margrel1 @ ( k13_margrel1 @ A ) ) @ A ) ) ),file(margrel1,k13_margrel1)).
thf(commutativity_k14_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_margrel1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_margrel1 @ B ) ) => ( = @ ( k14_margrel1 @ A @ B ) @ ( k14_margrel1 @ B @ A ) ) ) ),file(margrel1,k14_margrel1)).
thf(idempotence_k14_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_margrel1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_margrel1 @ B ) ) => ( = @ ( k14_margrel1 @ A @ A ) @ A ) ) ),file(margrel1,k14_margrel1)).
thf(redefinition_m2_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ B ) & ( m1_funct_2 @ C @ A @ B ) ) => ! [D: $i] : ( ( m2_funct_2 @ D @ A @ B @ C ) <=> ( m1_subset_1 @ D @ C ) ) ) ),file(funct_2,m2_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_margrel1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_margrel1 @ A ) ) => ( ( v1_relat_1 @ ( k13_margrel1 @ A ) ) & ( v1_funct_1 @ ( k13_margrel1 @ A ) ) & ( v1_margrel1 @ ( k13_margrel1 @ A ) ) ) ) ),file(margrel1,k13_margrel1)).
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_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_margrel1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_margrel1 @ B ) ) => ( ( v1_relat_1 @ ( k14_margrel1 @ A @ B ) ) & ( v1_funct_1 @ ( k14_margrel1 @ A @ B ) ) & ( v1_margrel1 @ ( k14_margrel1 @ A @ B ) ) ) ) ),file(margrel1,k14_margrel1)).
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_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_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_k1_funct_2,axiom,( $true ),file(funct_2,k1_funct_2)).
thf(dt_k1_numbers,axiom,( $true ),file(numbers,k1_numbers)).
thf(dt_k1_valuat_1,axiom,( $true ),file(valuat_1,k1_valuat_1)).
thf(dt_k1_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_0)).
thf(dt_k2_funcop_1,axiom,( $true ),file(funcop_1,k2_funcop_1)).
thf(dt_k2_xboolean,axiom,( $true ),file(xboolean,k2_xboolean)).
thf(dt_k3_margrel1,axiom,( $true ),file(margrel1,k3_margrel1)).
thf(dt_k4_ordinal1,axiom,( $true ),file(ordinal1,k4_ordinal1)).
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_m1_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_funct_2 @ C @ A @ B ) => ~ ( v1_xboole_0 @ C ) ) ),file(funct_2,m1_funct_2)).
thf(dt_m2_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ B ) & ( m1_funct_2 @ C @ A @ B ) ) => ! [D: $i] : ( ( m2_funct_2 @ D @ A @ B @ C ) => ( ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) ) ) ),file(funct_2,m2_funct_2)).
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_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v1_partfun1 @ C @ A ) => ( v1_funct_2 @ C @ A @ B ) ) ) ),file(funct_2,cc1_funct_2)).
thf(cc1_membered,axiom,( ! [A: $i] : ( ( v6_membered @ A ) => ( v5_membered @ A ) ) ),file(membered,cc1_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_funct_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funct_1 @ A ) ) ) ),file(funct_1,cc2_funct_1)).
thf(cc3_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_funct_1 @ B ) ) ) ),file(funct_1,cc3_funct_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_funct_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) ) ) ),file(funct_1,cc4_funct_1)).
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(cc8_funct_1,axiom,( ! [A: $i] : ( ( v4_funct_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) ) ) ),file(funct_1,cc8_funct_1)).
thf(cc8_membered,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ k1_numbers ) ) => ( v3_membered @ A ) ) ),file(membered,cc8_membered)).
thf(cc9_funct_1,axiom,( ! [A: $i] : ( ( v4_funct_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v4_funct_1 @ B ) ) ) ),file(funct_1,cc9_funct_1)).
thf(cc9_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_funct_2 @ C @ A @ B ) => ( v4_funct_1 @ C ) ) ),file(funct_2,cc9_funct_2)).
thf(fc10_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( v4_funct_1 @ ( k1_funct_2 @ A @ B ) ) ),file(funct_2,fc10_funct_2)).
thf(fc17_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v4_funct_1 @ A ) & ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_1 @ C @ B ) ) & ( v1_funct_1 @ ( k1_funct_1 @ C @ B ) ) ) ) ),file(funct_1,fc17_funct_1)).
thf(fc1_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) ),file(funct_2,fc1_funct_2)).
thf(fc1_margrel1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ~ ( v1_xboole_0 @ ( k3_margrel1 @ A ) ) ) ),file(margrel1,fc1_margrel1)).
thf(fc1_valuat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ( ( v4_funct_1 @ ( k1_valuat_1 @ A @ B ) ) & ~ ( v1_xboole_0 @ ( k1_valuat_1 @ A @ B ) ) ) ) ),file(valuat_1,fc1_valuat_1)).
thf(fc1_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_0)).
thf(fc2_funct_2,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ A ) ) ),file(funct_2,fc2_funct_2)).
thf(fc3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_xboole_0 @ B ) ) => ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) ),file(funct_2,fc3_funct_2)).
thf(fc3_membered,axiom,( v3_membered @ k1_numbers ),file(membered,fc3_membered)).
thf(fc4_card_1,axiom,( v1_card_1 @ k4_ordinal1 ),file(card_1,fc4_card_1)).
thf(fc4_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_margrel1 @ A ) ) => ( v1_xboolean @ ( k1_funct_1 @ A @ B ) ) ) ),file(margrel1,fc4_margrel1)).
thf(fc56_membered,axiom,( v7_membered @ k1_numbers ),file(membered,fc56_membered)).
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(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_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(rc1_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) ) ),file(funct_2,rc1_funct_2)).
thf(rc1_membered,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v6_membered @ A ) ) ),file(membered,rc1_membered)).
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(rc2_margrel1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_margrel1 @ A ) ) ),file(margrel1,rc2_margrel1)).
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(rc6_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) ) ),file(funct_1,rc6_funct_1)).
thf(rc7_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v4_funct_1 @ A ) ) ),file(funct_1,rc7_funct_1)).
thf(involutiveness_k15_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) ) => ( = @ ( k15_margrel1 @ A @ ( k15_margrel1 @ A @ B ) ) @ B ) ) ),file(margrel1,k15_margrel1)).
thf(commutativity_k16_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ k6_margrel1 ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) ) => ( = @ ( k16_margrel1 @ A @ B @ C ) @ ( k16_margrel1 @ A @ C @ B ) ) ) ),file(margrel1,k16_margrel1)).
thf(idempotence_k16_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ k6_margrel1 ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) ) => ( = @ ( k16_margrel1 @ A @ B @ B ) @ B ) ) ),file(margrel1,k16_margrel1)).
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_k11_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k3_qc_lang1 @ A ) ) & ( m1_subset_1 @ C @ ( k3_cqc_lang @ A ) ) ) => ( = @ ( k11_cqc_lang @ A @ B @ C ) @ ( k15_qc_lang1 @ A @ B @ C ) ) ) ),file(cqc_lang,k11_cqc_lang)).
thf(redefinition_k15_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) ) => ( = @ ( k15_margrel1 @ A @ B ) @ ( k13_margrel1 @ B ) ) ) ),file(margrel1,k15_margrel1)).
thf(redefinition_k16_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ k6_margrel1 ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) ) => ( = @ ( k16_margrel1 @ A @ B @ C ) @ ( k14_margrel1 @ B @ C ) ) ) ),file(margrel1,k16_margrel1)).
thf(redefinition_k1_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ C @ A ) ) => ( = @ ( k1_margrel1 @ A @ B @ C ) @ ( k2_funcop_1 @ B @ C ) ) ) ),file(margrel1,k1_margrel1)).
thf(redefinition_k2_valuat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ( = @ ( k2_valuat_1 @ A @ B ) @ ( k1_valuat_1 @ A @ B ) ) ) ),file(valuat_1,k2_valuat_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(redefinition_k4_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( m1_subset_1 @ A @ k5_numbers ) & ( m1_qc_lang1 @ B ) & ( m1_subset_1 @ C @ ( k8_qc_lang1 @ B @ A ) ) & ( v5_relat_1 @ D @ ( k3_qc_lang1 @ B ) ) & ( v3_card_1 @ D @ A ) & ( m1_finseq_1 @ D @ ( k2_qc_lang1 @ B ) ) ) => ( = @ ( k4_cqc_lang @ A @ B @ C @ D ) @ ( k10_qc_lang1 @ B @ C @ D ) ) ) ),file(cqc_lang,k4_cqc_lang)).
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_k5_numbers,axiom,( = @ k5_numbers @ k4_ordinal1 ),file(numbers,k5_numbers)).
thf(redefinition_k6_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k3_cqc_lang @ A ) ) ) => ( = @ ( k6_cqc_lang @ A @ B ) @ ( k13_qc_lang1 @ A @ B ) ) ) ),file(cqc_lang,k6_cqc_lang)).
thf(redefinition_k6_valuat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( m1_qc_lang1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( k3_cqc_lang @ A ) @ ( k9_funct_2 @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k3_cqc_lang @ A ) @ ( k9_funct_2 @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 ) ) ) ) & ( m1_subset_1 @ D @ ( k3_cqc_lang @ A ) ) ) => ( = @ ( k6_valuat_1 @ A @ B @ C @ D ) @ ( k1_funct_1 @ C @ D ) ) ) ),file(valuat_1,k6_valuat_1)).
thf(redefinition_k7_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k3_cqc_lang @ A ) ) & ( m1_subset_1 @ C @ ( k3_cqc_lang @ A ) ) ) => ( = @ ( k7_cqc_lang @ A @ B @ C ) @ ( k14_qc_lang1 @ A @ B @ C ) ) ) ),file(cqc_lang,k7_cqc_lang)).
thf(redefinition_k7_valuat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ( m1_qc_lang1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ C @ k5_numbers ) & ( m1_valuat_1 @ D @ A @ B ) & ( m1_subset_1 @ E @ ( k8_qc_lang1 @ A @ C ) ) ) => ( = @ ( k7_valuat_1 @ A @ B @ C @ D @ E ) @ ( k1_funct_1 @ D @ E ) ) ) ),file(valuat_1,k7_valuat_1)).
thf(redefinition_k8_margrel1,axiom,( = @ k8_margrel1 @ k2_xboolean ),file(margrel1,k8_margrel1)).
thf(redefinition_k9_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ( = @ ( k9_funct_2 @ A @ B ) @ ( k1_funct_2 @ A @ B ) ) ) ),file(funct_2,k9_funct_2)).
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(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_k11_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k3_qc_lang1 @ A ) ) & ( m1_subset_1 @ C @ ( k3_cqc_lang @ A ) ) ) => ( m2_subset_1 @ ( k11_cqc_lang @ A @ B @ C ) @ ( k9_qc_lang1 @ A ) @ ( k3_cqc_lang @ A ) ) ) ),file(cqc_lang,k11_cqc_lang)).
thf(dt_k15_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) ) => ( ( v1_funct_1 @ ( k15_margrel1 @ A @ B ) ) & ( v1_funct_2 @ ( k15_margrel1 @ A @ B ) @ A @ k6_margrel1 ) & ( m1_subset_1 @ ( k15_margrel1 @ A @ B ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) ) ) ),file(margrel1,k15_margrel1)).
thf(dt_k16_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ k6_margrel1 ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) ) => ( ( v1_funct_1 @ ( k16_margrel1 @ A @ B @ C ) ) & ( v1_funct_2 @ ( k16_margrel1 @ A @ B @ C ) @ A @ k6_margrel1 ) & ( m1_subset_1 @ ( k16_margrel1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) ) ) ),file(margrel1,k16_margrel1)).
thf(dt_k1_funct_7,axiom,( ! [A: $i] : ! [B: $i] : ( m1_subset_1 @ ( k1_funct_7 @ A @ B ) @ B ) ),file(funct_7,k1_funct_7)).
thf(dt_k1_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ C @ A ) ) => ( ( v1_funct_1 @ ( k1_margrel1 @ A @ B @ C ) ) & ( v1_funct_2 @ ( k1_margrel1 @ A @ B @ C ) @ B @ A ) & ( m1_subset_1 @ ( k1_margrel1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) ) ) ),file(margrel1,k1_margrel1)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_qc_lang1,axiom,( $true ),file(qc_lang1,k2_qc_lang1)).
thf(dt_k2_valuat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ( m1_funct_2 @ ( k2_valuat_1 @ A @ B ) @ ( k3_qc_lang1 @ A ) @ B ) ) ),file(valuat_1,k2_valuat_1)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
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_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_valuat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( m1_qc_lang1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ C @ ( k3_qc_lang1 @ A ) ) & ( m1_subset_1 @ D @ ( k9_funct_2 @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 ) ) ) => ( m2_funct_2 @ ( k3_valuat_1 @ A @ B @ C @ D ) @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 @ ( k9_funct_2 @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 ) ) ) ),file(valuat_1,k3_valuat_1)).
thf(dt_k4_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( m1_subset_1 @ A @ k5_numbers ) & ( m1_qc_lang1 @ B ) & ( m1_subset_1 @ C @ ( k8_qc_lang1 @ B @ A ) ) & ( v5_relat_1 @ D @ ( k3_qc_lang1 @ B ) ) & ( v3_card_1 @ D @ A ) & ( m1_finseq_1 @ D @ ( k2_qc_lang1 @ B ) ) ) => ( m2_subset_1 @ ( k4_cqc_lang @ A @ B @ C @ D ) @ ( k9_qc_lang1 @ B ) @ ( k3_cqc_lang @ B ) ) ) ),file(cqc_lang,k4_cqc_lang)).
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_k5_numbers,axiom,( m1_subset_1 @ k5_numbers @ ( k1_zfmisc_1 @ k1_numbers ) ),file(numbers,k5_numbers)).
thf(dt_k5_valuat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ( m1_qc_lang1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ C @ k5_numbers ) & ( v5_relat_1 @ D @ ( k3_qc_lang1 @ A ) ) & ( v3_card_1 @ D @ C ) & ( m1_finseq_1 @ D @ ( k2_qc_lang1 @ A ) ) & ( m1_subset_1 @ E @ ( k3_margrel1 @ B ) ) ) => ( m2_funct_2 @ ( k5_valuat_1 @ A @ B @ C @ D @ E ) @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 @ ( k9_funct_2 @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 ) ) ) ),file(valuat_1,k5_valuat_1)).
thf(dt_k6_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k3_cqc_lang @ A ) ) ) => ( m2_subset_1 @ ( k6_cqc_lang @ A @ B ) @ ( k9_qc_lang1 @ A ) @ ( k3_cqc_lang @ A ) ) ) ),file(cqc_lang,k6_cqc_lang)).
thf(dt_k6_margrel1,axiom,( $true ),file(margrel1,k6_margrel1)).
thf(dt_k6_qc_lang1,axiom,( $true ),file(qc_lang1,k6_qc_lang1)).
thf(dt_k6_valuat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( m1_qc_lang1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( k3_cqc_lang @ A ) @ ( k9_funct_2 @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k3_cqc_lang @ A ) @ ( k9_funct_2 @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 ) ) ) ) & ( m1_subset_1 @ D @ ( k3_cqc_lang @ A ) ) ) => ( m2_funct_2 @ ( k6_valuat_1 @ A @ B @ C @ D ) @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 @ ( k9_funct_2 @ ( k2_valuat_1 @ A @ B ) @ k6_margrel1 ) ) ) ),file(valuat_1,k6_valuat_1)).
thf(dt_k7_cqc_lang,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ ( k3_cqc_lang @ A ) ) & ( m1_subset_1 @ C @ ( k3_cqc_lang @ A ) ) ) => ( m2_subset_1 @ ( k7_cqc_lang @ A @ B @ C ) @ ( k9_qc_lang1 @ A ) @ ( k3_cqc_lang @ A ) ) ) ),file(cqc_lang,k7_cqc_lang)).
thf(dt_k7_valuat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ( m1_qc_lang1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ C @ k5_numbers ) & ( m1_valuat_1 @ D @ A @ B ) & ( m1_subset_1 @ E @ ( k8_qc_lang1 @ A @ C ) ) ) => ( m1_subset_1 @ ( k7_valuat_1 @ A @ B @ C @ D @ E ) @ ( k3_margrel1 @ B ) ) ) ),file(valuat_1,k7_valuat_1)).
thf(dt_k8_margrel1,axiom,( m1_subset_1 @ k8_margrel1 @ k6_margrel1 ),file(margrel1,k8_margrel1)).
thf(dt_k8_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ( m1_subset_1 @ B @ k5_numbers ) ) => ( m1_subset_1 @ ( k8_qc_lang1 @ A @ B ) @ ( k1_zfmisc_1 @ ( k6_qc_lang1 @ A ) ) ) ) ),file(qc_lang1,k8_qc_lang1)).
thf(dt_k9_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ( m1_funct_2 @ ( k9_funct_2 @ A @ B ) @ A @ B ) ) ),file(funct_2,k9_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_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_m1_valuat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_qc_lang1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ! [C: $i] : ( ( m1_valuat_1 @ C @ A @ B ) => ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( k6_qc_lang1 @ A ) @ ( k3_margrel1 @ B ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k6_qc_lang1 @ A ) @ ( k3_margrel1 @ B ) ) ) ) ) ) ) ),file(valuat_1,m1_valuat_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(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_14__valuat_1,axiom,( m1_qc_lang1 @ c1_14__valuat_1 ),file(valuat_1,c1_14__valuat_1)).
thf(dt_c2_14__valuat_1,axiom,( ~ ( v1_xboole_0 @ c2_14__valuat_1 ) ),file(valuat_1,c2_14__valuat_1)).
thf(dt_c3_14__valuat_1,axiom,( m1_valuat_1 @ c3_14__valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ),file(valuat_1,c3_14__valuat_1)).
thf(dt_c5_14_1_2__valuat_1,axiom,( ( v1_funct_1 @ c5_14_1_2__valuat_1 ) & ( v1_funct_2 @ c5_14_1_2__valuat_1 @ ( k3_cqc_lang @ c1_14__valuat_1 ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) & ( m1_subset_1 @ c5_14_1_2__valuat_1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k3_cqc_lang @ c1_14__valuat_1 ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) ) ) ),file(valuat_1,c5_14_1_2__valuat_1)).
thf(dt_c6_14_1_2__valuat_1,axiom,( ( v1_funct_1 @ c6_14_1_2__valuat_1 ) & ( v1_funct_2 @ c6_14_1_2__valuat_1 @ ( k3_cqc_lang @ c1_14__valuat_1 ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) & ( m1_subset_1 @ c6_14_1_2__valuat_1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k3_cqc_lang @ c1_14__valuat_1 ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) ) ) ),file(valuat_1,c6_14_1_2__valuat_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(cc1_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_funct_1 @ A ) ) ),file(funct_1,cc1_funct_1)).
thf(cc1_margrel1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v2_card_3 @ A ) ) ),file(margrel1,cc1_margrel1)).
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(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(cc2_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v1_funct_2 @ C @ A @ B ) => ( v1_partfun1 @ C @ A ) ) ) ) ),file(funct_2,cc2_funct_2)).
thf(cc2_margrel1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k6_margrel1 ) => ( v1_xboolean @ A ) ) ),file(margrel1,cc2_margrel1)).
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(cc3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v1_funct_2 @ C @ A @ B ) => ( v1_partfun1 @ C @ A ) ) ) ) ),file(funct_2,cc3_funct_2)).
thf(cc3_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) => ( ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) ) => ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( v1_margrel1 @ B ) ) ) ) ),file(margrel1,cc3_margrel1)).
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_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) ) ) => ( ( v1_funct_2 @ B @ A @ A ) => ( v1_partfun1 @ B @ A ) ) ) ),file(funct_2,cc4_funct_2)).
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(cc7_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v4_funct_1 @ A ) ) ),file(funct_1,cc7_funct_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_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) ) => ( ( v1_funct_1 @ C ) & ~ ( v1_xboole_0 @ C ) & ( v1_funct_2 @ C @ A @ B ) ) ) ) ) ),file(funct_2,cc8_funct_2)).
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(fc2_margrel1,axiom,( ~ ( v1_xboole_0 @ k6_margrel1 ) ),file(margrel1,fc2_margrel1)).
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(fc6_qc_lang1,axiom,( ! [A: $i] : ( ( m1_qc_lang1 @ A ) => ~ ( v1_xboole_0 @ ( k6_qc_lang1 @ A ) ) ) ),file(qc_lang1,fc6_qc_lang1)).
thf(fc7_qc_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( m1_subset_1 @ A @ k5_numbers ) & ( m1_qc_lang1 @ B ) ) => ~ ( v1_xboole_0 @ ( k8_qc_lang1 @ B @ A ) ) ) ),file(qc_lang1,fc7_qc_lang1)).
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(e5_14_1_2__valuat_1,axiom,( ( = @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c5_14_1_2__valuat_1 @ ( k5_cqc_lang @ c1_14__valuat_1 ) ) @ ( k1_funct_7 @ ( k1_margrel1 @ k6_margrel1 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k8_margrel1 ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) ) & ! [A: $i] : ( ( m2_subset_1 @ A @ ( k9_qc_lang1 @ c1_14__valuat_1 ) @ ( k3_cqc_lang @ c1_14__valuat_1 ) ) => ! [B: $i] : ( ( m2_subset_1 @ B @ ( k9_qc_lang1 @ c1_14__valuat_1 ) @ ( k3_cqc_lang @ c1_14__valuat_1 ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ ( k2_qc_lang1 @ c1_14__valuat_1 ) @ ( k3_qc_lang1 @ c1_14__valuat_1 ) ) => ! [D: $i] : ( ( m1_subset_1 @ D @ k5_numbers ) => ! [E: $i] : ( ( ( v5_relat_1 @ E @ ( k3_qc_lang1 @ c1_14__valuat_1 ) ) & ( v3_card_1 @ E @ D ) & ( m2_finseq_1 @ E @ ( k2_qc_lang1 @ c1_14__valuat_1 ) ) ) => ! [F: $i] : ( ( m2_subset_1 @ F @ ( k6_qc_lang1 @ c1_14__valuat_1 ) @ ( k8_qc_lang1 @ c1_14__valuat_1 @ D ) ) => ( ( r2_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c5_14_1_2__valuat_1 @ ( k4_cqc_lang @ D @ c1_14__valuat_1 @ F @ E ) ) @ ( k5_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ D @ E @ ( k7_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ D @ c3_14__valuat_1 @ F ) ) ) & ( = @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c5_14_1_2__valuat_1 @ ( k6_cqc_lang @ c1_14__valuat_1 @ A ) ) @ ( k1_funct_7 @ ( k15_margrel1 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c5_14_1_2__valuat_1 @ A ) ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) ) & ( = @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c5_14_1_2__valuat_1 @ ( k7_cqc_lang @ c1_14__valuat_1 @ A @ B ) ) @ ( k1_funct_7 @ ( k16_margrel1 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c5_14_1_2__valuat_1 @ A ) @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c5_14_1_2__valuat_1 @ B ) ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) ) & ( = @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c5_14_1_2__valuat_1 @ ( k11_cqc_lang @ c1_14__valuat_1 @ C @ A ) ) @ ( k1_funct_7 @ ( k3_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ C @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c5_14_1_2__valuat_1 @ A ) ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) ) ) ) ) ) ) ) ) ),file(valuat_1,e5_14_1_2__valuat_1)).
thf(e10_14_1_2__valuat_1,axiom,( ( = @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c6_14_1_2__valuat_1 @ ( k5_cqc_lang @ c1_14__valuat_1 ) ) @ ( k1_funct_7 @ ( k1_margrel1 @ k6_margrel1 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k8_margrel1 ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) ) & ! [A: $i] : ( ( m2_subset_1 @ A @ ( k9_qc_lang1 @ c1_14__valuat_1 ) @ ( k3_cqc_lang @ c1_14__valuat_1 ) ) => ! [B: $i] : ( ( m2_subset_1 @ B @ ( k9_qc_lang1 @ c1_14__valuat_1 ) @ ( k3_cqc_lang @ c1_14__valuat_1 ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ ( k2_qc_lang1 @ c1_14__valuat_1 ) @ ( k3_qc_lang1 @ c1_14__valuat_1 ) ) => ! [D: $i] : ( ( m1_subset_1 @ D @ k5_numbers ) => ! [E: $i] : ( ( ( v5_relat_1 @ E @ ( k3_qc_lang1 @ c1_14__valuat_1 ) ) & ( v3_card_1 @ E @ D ) & ( m2_finseq_1 @ E @ ( k2_qc_lang1 @ c1_14__valuat_1 ) ) ) => ! [F: $i] : ( ( m2_subset_1 @ F @ ( k6_qc_lang1 @ c1_14__valuat_1 ) @ ( k8_qc_lang1 @ c1_14__valuat_1 @ D ) ) => ( ( r2_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c6_14_1_2__valuat_1 @ ( k4_cqc_lang @ D @ c1_14__valuat_1 @ F @ E ) ) @ ( k5_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ D @ E @ ( k7_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ D @ c3_14__valuat_1 @ F ) ) ) & ( = @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c6_14_1_2__valuat_1 @ ( k6_cqc_lang @ c1_14__valuat_1 @ A ) ) @ ( k1_funct_7 @ ( k15_margrel1 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c6_14_1_2__valuat_1 @ A ) ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) ) & ( = @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c6_14_1_2__valuat_1 @ ( k7_cqc_lang @ c1_14__valuat_1 @ A @ B ) ) @ ( k1_funct_7 @ ( k16_margrel1 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c6_14_1_2__valuat_1 @ A ) @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c6_14_1_2__valuat_1 @ B ) ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) ) & ( = @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c6_14_1_2__valuat_1 @ ( k11_cqc_lang @ c1_14__valuat_1 @ C @ A ) ) @ ( k1_funct_7 @ ( k3_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ C @ ( k6_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 @ c6_14_1_2__valuat_1 @ A ) ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) ) ) ) ) ) ) ) ) ) ),file(valuat_1,e10_14_1_2__valuat_1)).
thf(s3_cqc_lang,axiom,( ! [A: $i] : ! [B: $i > $i > $i] : ! [C: $i > $i > $i] : ! [D: $i > $i] : ! [E: $i > $i > $i > $i] : ! [F: $i] : ! [G: $i] : ! [H: $i] : ! [I: $i] : ( ( ( = @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ G @ ( k5_cqc_lang @ I ) ) @ F ) & ! [J: $i] : ( ( m2_subset_1 @ J @ ( k9_qc_lang1 @ I ) @ ( k3_cqc_lang @ I ) ) => ! [K: $i] : ( ( m2_subset_1 @ K @ ( k9_qc_lang1 @ I ) @ ( k3_cqc_lang @ I ) ) => ! [L: $i] : ( ( m2_subset_1 @ L @ ( k2_qc_lang1 @ I ) @ ( k3_qc_lang1 @ I ) ) => ! [M: $i] : ( ( m1_subset_1 @ M @ k5_numbers ) => ! [N: $i] : ( ( ( v5_relat_1 @ N @ ( k3_qc_lang1 @ I ) ) & ( v3_card_1 @ N @ M ) & ( m2_finseq_1 @ N @ ( k2_qc_lang1 @ I ) ) ) => ! [O: $i] : ( ( m2_subset_1 @ O @ ( k6_qc_lang1 @ I ) @ ( k8_qc_lang1 @ I @ M ) ) => ( ( = @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ G @ ( k4_cqc_lang @ M @ I @ O @ N ) ) @ ( E @ M @ O @ N ) ) & ( = @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ G @ ( k6_cqc_lang @ I @ J ) ) @ ( D @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ G @ J ) ) ) & ( = @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ G @ ( k7_cqc_lang @ I @ J @ K ) ) @ ( C @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ G @ J ) @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ G @ K ) ) ) & ( = @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ G @ ( k11_cqc_lang @ I @ L @ J ) ) @ ( B @ L @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ G @ J ) ) ) ) ) ) ) ) ) ) & ( = @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ A @ ( k5_cqc_lang @ I ) ) @ F ) & ! [J: $i] : ( ( m2_subset_1 @ J @ ( k9_qc_lang1 @ I ) @ ( k3_cqc_lang @ I ) ) => ! [K: $i] : ( ( m2_subset_1 @ K @ ( k9_qc_lang1 @ I ) @ ( k3_cqc_lang @ I ) ) => ! [L: $i] : ( ( m2_subset_1 @ L @ ( k2_qc_lang1 @ I ) @ ( k3_qc_lang1 @ I ) ) => ! [M: $i] : ( ( m1_subset_1 @ M @ k5_numbers ) => ! [N: $i] : ( ( ( v5_relat_1 @ N @ ( k3_qc_lang1 @ I ) ) & ( v3_card_1 @ N @ M ) & ( m2_finseq_1 @ N @ ( k2_qc_lang1 @ I ) ) ) => ! [O: $i] : ( ( m2_subset_1 @ O @ ( k6_qc_lang1 @ I ) @ ( k8_qc_lang1 @ I @ M ) ) => ( ( = @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ A @ ( k4_cqc_lang @ M @ I @ O @ N ) ) @ ( E @ M @ O @ N ) ) & ( = @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ A @ ( k6_cqc_lang @ I @ J ) ) @ ( D @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ A @ J ) ) ) & ( = @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ A @ ( k7_cqc_lang @ I @ J @ K ) ) @ ( C @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ A @ J ) @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ A @ K ) ) ) & ( = @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ A @ ( k11_cqc_lang @ I @ L @ J ) ) @ ( B @ L @ ( k3_funct_2 @ ( k3_cqc_lang @ I ) @ H @ A @ J ) ) ) ) ) ) ) ) ) ) ) => ( r2_funct_2 @ ( k3_cqc_lang @ I ) @ H @ G @ A ) ) ),file(cqc_lang,s3_cqc_lang)).
thf(e11_14_1_2__valuat_1,conjecture,( r2_funct_2 @ ( k3_cqc_lang @ c1_14__valuat_1 ) @ ( k9_funct_2 @ ( k2_valuat_1 @ c1_14__valuat_1 @ c2_14__valuat_1 ) @ k6_margrel1 ) @ c5_14_1_2__valuat_1 @ c6_14_1_2__valuat_1 ),file(valuat_1,e11_14_1_2__valuat_1)).
