%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU448+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 16:31:51 EDT 2023

% Result   : Theorem 25.54s 25.93s
% Output   : Proof 25.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SEU448+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n026.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Wed Aug 23 20:19:17 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 25.54/25.93  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.0yPiZ0mYt2/cvc5---1.0.5_22758.p...
% 25.54/25.93  ------- get file name : TPTP file name is SEU448+1
% 25.54/25.93  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22758.smt2...
% 25.54/25.93  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.54/25.93  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.54/25.93  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.54/25.93  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.54/25.93  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.54/25.93  % SZS status Theorem for SEU448+1
% 25.54/25.93  % SZS output start Proof for SEU448+1
% 25.54/25.93  (
% 25.54/25.93  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (= (tptp.r1_xboole_0 C (tptp.k9_relat_1 (tptp.k4_relat_1 E) D)) (tptp.r1_xboole_0 D (tptp.k9_relat_1 E C))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 B A))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B C) (tptp.k4_relat_1 C)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k10_relset_1 A B C D) (tptp.k9_relat_1 C D)))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k4_relat_1 (tptp.k4_relat_1 A)) A))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k3_subset_1 A B)) B))))) (let ((_let_9 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_10 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m2_relset_1 (tptp.k6_relset_1 A B C) B A))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k3_subset_1 A B) _let_1)))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k10_relset_1 A B C D) (tptp.k1_zfmisc_1 B)))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))))) (let ((_let_16 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (forall ((E $$unsorted)) (=> (tptp.m2_relset_1 E A B) (= (tptp.r1_tarski (tptp.k10_relset_1 A B E (tptp.k3_subset_1 A C)) (tptp.k3_subset_1 B D)) (tptp.r1_tarski (tptp.k10_relset_1 B A (tptp.k6_relset_1 A B E) D) C))))))))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.r1_xboole_0 A B)) (tptp.r1_xboole_0 B A))))) (let ((_let_18 (tptp.k6_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_20 (tptp.k3_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (tptp.r1_xboole_0 _let_20 _let_19))) (let ((_let_22 (tptp.r1_xboole_0 _let_19 _let_20))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (tptp.k9_relat_1 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_28 (tptp.r1_xboole_0 _let_20 _let_27))) (let ((_let_29 (= _let_19 _let_27))) (let ((_let_30 (not _let_21))) (let ((_let_31 (tptp.r1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.k9_relat_1 (tptp.k4_relat_1 _let_18) _let_20)))) (let ((_let_32 (= _let_31 _let_28))) (let ((_let_33 (not _let_28))) (let ((_let_34 (tptp.m1_subset_1 _let_18 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.k1_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (tptp.m1_subset_1 _let_20 _let_36))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.k1_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_39))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_38 _let_35 _let_32))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1275 $$unsorted) (BOUND_VARIABLE_1273 $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1273 (tptp.k1_zfmisc_1 B))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1275 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (= (tptp.r1_xboole_0 C (tptp.k9_relat_1 (tptp.k4_relat_1 BOUND_VARIABLE_1275) BOUND_VARIABLE_1273)) (tptp.r1_xboole_0 BOUND_VARIABLE_1273 (tptp.k9_relat_1 BOUND_VARIABLE_1275 C))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (tptp.m2_relset_1 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_34))) (let ((_let_48 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m2_relset_1 C A B)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 ((not (= (tptp.m2_relset_1 C A B) false))))) (let ((_let_52 (tptp.m1_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_45))) (let ((_let_55 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_relset_1 C A B)) (tptp.m2_relset_1 (tptp.k6_relset_1 A B C) B A))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (tptp.m2_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_58 (= _let_57 _let_52))) (let ((_let_59 (_let_4))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (tptp.r1_tarski _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_62 (tptp.k10_relset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20))) (let ((_let_63 (tptp.r1_tarski _let_62 (tptp.k3_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_64 (= _let_63 _let_61))) (let ((_let_65 (not _let_57))) (let ((_let_66 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_36))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_41 _let_65 _let_64))) (let ((_let_69 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1029 $$unsorted) (BOUND_VARIABLE_1027 $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))) (not (tptp.m1_subset_1 BOUND_VARIABLE_1027 (tptp.k1_zfmisc_1 B))) (not (tptp.m2_relset_1 BOUND_VARIABLE_1029 A B)) (= (tptp.r1_tarski (tptp.k10_relset_1 A B BOUND_VARIABLE_1029 (tptp.k3_subset_1 A C)) (tptp.k3_subset_1 B BOUND_VARIABLE_1027)) (tptp.r1_tarski (tptp.k10_relset_1 B A (tptp.k6_relset_1 A B BOUND_VARIABLE_1029) BOUND_VARIABLE_1027) C)))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (or))) (let ((_let_73 (not _let_69))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_71) :args (_let_73))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_69))) (REFL :args (_let_70)) :args _let_72)) _let_71 :args (_let_70 true _let_69)))) (let ((_let_75 (REFL :args (_let_68)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 2)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_57))) :args _let_72)) :args ((or _let_57 _let_68))) _let_74 :args (_let_57 true _let_68)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_65 _let_52 (not _let_58)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m2_relset_1 C A B)))) :args _let_59)) _let_60 :args (_let_58 false _let_4)) :args (_let_52 false _let_57 false _let_58)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_45 (not _let_54)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k6_relset_1 A B C)))) :args (_let_55))) _let_56 :args (_let_54 false _let_55)) :args (_let_45 false _let_52 false _let_54)))) (let ((_let_79 (or _let_67 _let_37))) (let ((_let_80 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_subset_1 A B) _let_1)))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 0)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_72)) :args ((or _let_66 _let_68))) _let_74 :args (_let_66 true _let_68)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_67 _let_37 (not _let_79)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k3_subset_1 A B)))) :args (_let_80))) _let_81 :args (_let_79 false _let_80)) :args (_let_37 false _let_66 false _let_79)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 1)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_72)) :args ((or _let_40 _let_68))) _let_74 :args (_let_40 true _let_68)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_38 _let_35 _let_32 (not _let_42)))) _let_84 _let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_34 (not _let_47)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_47 false _let_48)) :args (_let_34 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_18 _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) false)) (not (= (tptp.m1_subset_1 BOUND_VARIABLE_1273 (tptp.k1_zfmisc_1 B)) false)) (not (= (tptp.m1_subset_1 BOUND_VARIABLE_1275 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) false))))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_32 false _let_40 false _let_37 false _let_34 false _let_42)))) (let ((_let_86 (tptp.k4_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_87 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.k4_relat_1 _let_86)))) (let ((_let_88 (tptp.r1_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_62))) (let ((_let_89 (= _let_18 _let_86))) (let ((_let_90 (= _let_62 (tptp.k9_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20)))) (let ((_let_91 (not _let_31))) (let ((_let_92 (tptp.v1_relat_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_87))) (let ((_let_95 (forall ((A $$unsorted)) (or (not (tptp.v1_relat_1 A)) (= A (tptp.k4_relat_1 (tptp.k4_relat_1 A))))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_92))) (let ((_let_100 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (tptp.v1_relat_1 C))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (or _let_65 _let_97))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_87 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_92 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_65 _let_97 (not _let_102)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_102 false _let_48)) :args (_let_97 false _let_57 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) false))))) :args (_let_100))) _let_101 :args (_let_99 false _let_100)) :args (_let_92 false _let_97 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_95))) _let_96 :args (_let_94 false _let_95)) :args (_let_87 false _let_92 false _let_94)))) (let ((_let_104 (tptp.r1_xboole_0 _let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_105 (not _let_88))) (let ((_let_106 (or _let_105 _let_104))) (let ((_let_107 (_let_17))) (let ((_let_108 (= _let_63 _let_104))) (let ((_let_109 (not _let_104))) (let ((_let_110 (tptp.m1_subset_1 _let_62 _let_39))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_41 _let_108))) (let ((_let_113 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1206 $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (or (not (tptp.m1_subset_1 B _let_1)) (not (tptp.m1_subset_1 BOUND_VARIABLE_1206 _let_1)) (= (tptp.r1_xboole_0 B BOUND_VARIABLE_1206) (tptp.r1_tarski B (tptp.k3_subset_1 A BOUND_VARIABLE_1206)))))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 ((tptp.r1_tarski B (tptp.k3_subset_1 A BOUND_VARIABLE_1206))))) (let ((_let_117 (or _let_53 _let_110))) (let ((_let_118 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k10_relset_1 A B C D) (tptp.k1_zfmisc_1 B)))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 ((tptp.k10_relset_1 A B C D)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_41 _let_111 _let_108 (not _let_112)))) _let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_53 _let_110 (not _let_117)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_117 false _let_118)) :args (_let_110 false _let_52 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_114 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_115))) _let_114 :args (_let_112 false _let_113)) :args (_let_108 false _let_40 false _let_110 false _let_112)))) (let ((_let_123 (or _let_109 _let_88))) (let ((_let_124 (tptp.k3_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_125 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_124))) (let ((_let_126 (tptp.r1_tarski _let_19 _let_124))) (let ((_let_127 (= _let_22 _let_126))) (let ((_let_128 (or _let_30 _let_22))) (let ((_let_129 (not _let_63))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_68 3)) _let_74 :args ((not _let_64) true _let_68)))) (let ((_let_131 (_let_64))) (let ((_let_132 (not _let_108))) (let ((_let_133 (_let_108))) (let ((_let_134 (or _let_67 _let_125))) (let ((_let_135 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (= B (tptp.k3_subset_1 A (tptp.k3_subset_1 A B))))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_67 _let_125 (not _let_134)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) false))))) :args (_let_135))) _let_136 :args (_let_134 false _let_135)) :args (_let_125 false _let_66 false _let_134)))) (let ((_let_138 (not _let_126))) (let ((_let_139 (not _let_61))) (let ((_let_140 (and _let_139 _let_125))) (let ((_let_141 (_let_139 _let_125))) (let ((_let_142 (ASSUME :args (_let_139)))) (let ((_let_143 (ASSUME :args (_let_125)))) (let ((_let_144 (CONG (REFL :args (_let_19)) (SYMM _let_143) :args (APPLY_UF tptp.r1_tarski)))) (let ((_let_145 (or _let_53 _let_90))) (let ((_let_146 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.m1_relset_1 C A B)) (= (tptp.k10_relset_1 A B C D) (tptp.k9_relat_1 C D)))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_148 (_let_146))) (let ((_let_149 ((tptp.k10_relset_1 A B C D)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_53 _let_90 (not _let_145)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_148)) _let_147 :args (_let_145 false _let_146)) :args (_let_90 false _let_52 false _let_145)))) (let ((_let_151 (or _let_53 _let_89))) (let ((_let_152 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.m1_relset_1 C A B)) (= (tptp.k6_relset_1 A B C) (tptp.k4_relat_1 C)))))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_53 _let_89 (not _let_151)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.k6_relset_1 A B C)))) :args (_let_152))) _let_153 :args (_let_151 false _let_152)) :args (_let_89 false _let_52 false _let_151)))) (let ((_let_155 (and _let_90 _let_89 _let_88 _let_87))) (let ((_let_156 (ASSUME :args (_let_88)))) (let ((_let_157 (APPLY_UF tptp.r1_xboole_0))) (let ((_let_158 (ASSUME :args (_let_90)))) (let ((_let_159 (REFL :args (_let_20)))) (let ((_let_160 (ASSUME :args (_let_87)))) (let ((_let_161 (ASSUME :args (_let_89)))) (let ((_let_162 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (TRANS (CONG (TRANS (CONG (SYMM (SYMM _let_161)) :args (APPLY_UF tptp.k4_relat_1)) (SYMM _let_160)) _let_159 :args (APPLY_UF tptp.k9_relat_1)) (SYMM _let_158)) :args _let_157))) (let ((_let_163 (tptp.m1_subset_1 _let_19 _let_36))) (let ((_let_164 (not _let_163))) (let ((_let_165 (or _let_164 _let_38 _let_127))) (let ((_let_166 (tptp.m1_relset_1 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_167 (not _let_166))) (let ((_let_168 (or _let_167 _let_163))) (let ((_let_169 (= _let_166 _let_45))) (let ((_let_170 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_169)) :args ((or _let_166 _let_46 (not _let_169)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_59))) _let_60 :args (_let_169 false _let_4)) :args (_let_166 false _let_45 false _let_169)))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_165)) :args ((or _let_164 _let_38 _let_127 (not _let_165)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_167 _let_163 (not _let_168)))) _let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_168 false _let_118)) :args (_let_163 false _let_166 false _let_168)) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 _let_20 QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_115)) _let_114 :args (_let_165 false _let_113)) :args (_let_127 false _let_163 false _let_37 false _let_165)))) (let ((_let_172 (not _let_127))) (let ((_let_173 (_let_127))) (let ((_let_174 (not _let_32))) (let ((_let_175 (_let_32))) (let ((_let_176 (or _let_167 _let_29))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_167 _let_29 (not _let_176)))) _let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_148)) _let_147 :args (_let_176 false _let_146)) :args (_let_29 false _let_166 false _let_176)))) (let ((_let_178 (not _let_29))) (let ((_let_179 (and _let_29 _let_28))) (let ((_let_180 (ASSUME :args (_let_28)))) (let ((_let_181 (ASSUME :args (_let_29)))) (let ((_let_182 (CONG _let_159 (SYMM (SYMM _let_181)) :args _let_157))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_179)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_180 _let_181) (SCOPE (TRUE_ELIM (TRANS _let_182 (TRUE_INTRO _let_180))) :args (_let_28 _let_29))) :args (_let_29 _let_28))) :args (true _let_179)) :args ((or _let_178 _let_21 _let_33))) _let_177 (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_22 _let_30 (not _let_128)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1_xboole_0 B A) true))))) :args _let_107)) _let_25 :args (_let_128 false _let_17)) (REORDERING (CNF_EQUIV_POS1 :args _let_175) :args ((or _let_28 _let_91 _let_174))) _let_85 (REORDERING (CNF_EQUIV_POS1 :args _let_173) :args ((or _let_126 _let_23 _let_172))) _let_171 (RESOLUTION (CNF_AND_NEG :args (_let_155)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_156 _let_158 _let_160 _let_161) (SCOPE (TRUE_ELIM (TRANS _let_162 (TRUE_INTRO _let_156))) :args (_let_88 _let_90 _let_87 _let_89))) :args (_let_90 _let_89 _let_88 _let_87))) :args (true _let_155)) _let_103 _let_154 _let_150 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_140)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_142 _let_143) (SCOPE (FALSE_ELIM (TRANS _let_144 (FALSE_INTRO _let_142))) :args _let_141)) :args _let_141)) :args (true _let_140)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_139) _let_61))) (REFL :args ((not _let_125))) (REFL :args (_let_138)) :args _let_72)) _let_137 (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_109 _let_88 (not _let_123)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1_xboole_0 A B) false))))) :args _let_107)) _let_25 :args (_let_123 false _let_17)) (REORDERING (CNF_EQUIV_POS1 :args _let_133) :args ((or _let_129 _let_104 _let_132))) _let_122 (CNF_EQUIV_NEG2 :args _let_131) _let_130 :args (_let_129 false _let_29 true _let_21 false _let_128 false _let_28 false _let_32 true _let_22 false _let_127 false _let_31 false _let_87 false _let_89 false _let_90 true _let_126 false _let_125 false _let_88 false _let_123 false _let_104 false _let_108 true _let_61 true _let_64)))) (let ((_let_184 (and _let_90 _let_89 _let_105 _let_87))) (let ((_let_185 (ASSUME :args (_let_105)))) (let ((_let_186 (and _let_29 _let_33))) (let ((_let_187 (ASSUME :args (_let_33)))) (let ((_let_188 (and _let_61 _let_125))) (let ((_let_189 (_let_61 _let_125))) (let ((_let_190 (ASSUME :args (_let_61)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_19 _let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 _let_26))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_173) :args ((or _let_22 _let_138 _let_172))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_188)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_190 _let_143) (SCOPE (TRUE_ELIM (TRANS _let_144 (TRUE_INTRO _let_190))) :args _let_189)) :args _let_189)) :args (true _let_188)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_131) :args ((or _let_63 _let_61 _let_64))) _let_183 _let_130 :args (_let_61 true _let_63 true _let_64)) _let_137 :args (_let_126 false _let_61 false _let_125)) _let_171 :args (_let_22 false _let_126 false _let_127)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_186)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_187 _let_181) (SCOPE (FALSE_ELIM (TRANS _let_182 (FALSE_INTRO _let_187))) :args (_let_33 _let_29))) :args (_let_29 _let_33))) :args (true _let_186)) (CONG (REFL :args (_let_178)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_28))) (REFL :args (_let_30)) :args _let_72)) :args ((or _let_178 _let_30 _let_28))) _let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_175) :args ((or _let_31 _let_33 _let_174))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_184)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_185 _let_158 _let_160 _let_161) (SCOPE (FALSE_ELIM (TRANS _let_162 (FALSE_INTRO _let_185))) :args (_let_105 _let_90 _let_87 _let_89))) :args (_let_90 _let_89 _let_105 _let_87))) :args (true _let_184)) (CONG (REFL :args ((not _let_90))) (REFL :args ((not _let_89))) (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_88))) (REFL :args ((not _let_87))) (REFL :args (_let_91)) :args _let_72)) _let_150 _let_154 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_104 _let_105 (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_133) :args ((or _let_63 _let_109 _let_132))) _let_183 _let_122 :args (_let_109 true _let_63 false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_62 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_107)) _let_25 :args (_let_106 false _let_17)) :args (_let_105 true _let_104 false _let_106)) _let_103 :args (_let_91 false _let_90 false _let_89 true _let_88 false _let_87)) _let_85 :args (_let_33 true _let_31 false _let_32)) :args (_let_30 false _let_29 true _let_28)) :args (_let_26 false _let_22 true _let_21)) _let_25 :args (false true _let_24 false _let_17)) :args (_let_16 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) _let_15 _let_14 true true true _let_13 (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k4_relat_1 A)))) _let_12 true true true _let_11 (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (and _let_10 _let_9 (tptp.v3_relat_1 tptp.k1_xboole_0)) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_relat_1 (tptp.k2_zfmisc_1 A B))) (and _let_10 _let_9) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B (tptp.k6_relset_1 A B C)) C))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A))) _let_6 _let_5 _let_4 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B (tptp.k3_subset_1 A C)) (tptp.r1_tarski B C)))))) _let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.54/25.94  )
% 25.54/25.94  % SZS output end Proof for SEU448+1
% 25.54/25.94  % cvc5---1.0.5 exiting
% 25.54/25.94  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------