%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU156+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 16:29:39 EDT 2023

% Result   : Theorem 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU156+3 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Wed Aug 23 13:48:25 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.M56hH1w8PW/cvc5---1.0.5_29483.p...
% 0.21/0.55  ------- get file name : TPTP file name is SEU156+3
% 0.21/0.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29483.smt2...
% 0.21/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Theorem for SEU156+3
% 0.21/0.55  % SZS output start Proof for SEU156+3
% 0.21/0.55  (
% 0.21/0.55  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.singleton A) (tptp.unordered_pair B C)) (= A B))))) (let ((_let_2 (forall ((A $$unsorted)) (= (tptp.unordered_pair A A) (tptp.singleton A))))) (let ((_let_3 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.ordered_pair A B) (tptp.ordered_pair C D)) (and (= A C) (= B D))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (= (tptp.unordered_pair A B) (tptp.unordered_pair C D)) (not (= A C)) (not (= A D))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))))) (let ((_let_7 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (= _let_8 _let_7))) (let ((_let_10 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_12 (= _let_11 _let_10))) (let ((_let_13 (= _let_7 _let_10))) (let ((_let_14 (= _let_8 _let_11))) (let ((_let_15 (_let_2))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 ((tptp.singleton A)))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_15))) _let_16 :args (_let_9 false _let_2)))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_15))) _let_16 :args (_let_12 false _let_2)))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_21 (not _let_13))) (let ((_let_22 (or _let_21 _let_20 _let_20))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (= (tptp.unordered_pair A B) (tptp.unordered_pair C D))) (= A C) (= A D))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_23))) (let ((_let_26 ((tptp.unordered_pair A B) (tptp.unordered_pair C D)))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_28 (and _let_20 _let_27))) (let ((_let_29 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_30 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (= _let_30 _let_29))) (let ((_let_32 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_33 (not _let_31))) (let ((_let_34 (or _let_33 _let_27 _let_32))) (let ((_let_35 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_36 (or _let_33 _let_27 _let_35))) (let ((_let_37 (not _let_20))) (let ((_let_38 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_39 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_28))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (= (tptp.ordered_pair A B) (tptp.ordered_pair C D))) (and (= A C) (= B D)))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) (REFL :args (_let_44)) :args _let_46)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_49 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_50 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_51 (= _let_50 _let_49))) (let ((_let_52 (= _let_49 _let_29))) (let ((_let_53 (= _let_50 _let_30))) (let ((_let_54 (tptp.unordered_pair _let_49 _let_11))) (let ((_let_55 (tptp.unordered_pair _let_50 _let_8))) (let ((_let_56 (= _let_55 _let_54))) (let ((_let_57 (= _let_8 _let_49))) (let ((_let_58 (not _let_56))) (let ((_let_59 (or _let_58 _let_51 _let_57))) (let ((_let_60 (= _let_50 _let_11))) (let ((_let_61 (or _let_58 _let_51 _let_60))) (let ((_let_62 (not _let_57))) (let ((_let_63 (or _let_62 _let_20))) (let ((_let_64 (= _let_38 _let_54))) (let ((_let_65 (= _let_39 _let_55))) (let ((_let_66 (_let_5))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 ((tptp.ordered_pair A B)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_66)) _let_67 :args (_let_64 false _let_5)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_66)) _let_67 :args (_let_65 false _let_5)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG (REFL :args (_let_42)) (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_46)) :args ((or _let_40 _let_42))) _let_48 :args (_let_40 true _let_42)))) (let ((_let_72 (and _let_40 _let_65 _let_64))) (let ((_let_73 (ASSUME :args (_let_64)))) (let ((_let_74 (SYMM (SYMM _let_73)))) (let ((_let_75 (ASSUME :args (_let_40)))) (let ((_let_76 (SYMM (SYMM _let_75)))) (let ((_let_77 (ASSUME :args (_let_65)))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_73 _let_75 _let_77) (SCOPE (TRANS _let_78 _let_76 _let_74) :args (_let_64 _let_40 _let_65))) :args (_let_40 _let_65 _let_64))) :args (true _let_72)) _let_71 _let_70 _let_69 :args (_let_56 false _let_40 false _let_65 false _let_64)))) (let ((_let_80 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.singleton A) (tptp.unordered_pair B C))) (= A B))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((tptp.singleton A) (tptp.unordered_pair B C)))) :args (_let_80))) _let_81 :args (_let_63 false _let_80)))) (let ((_let_83 (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_20 _let_62 (not _let_63)))))) (let ((_let_84 (not _let_60))) (let ((_let_85 (not _let_12))) (let ((_let_86 (not _let_9))) (let ((_let_87 (not _let_51))) (let ((_let_88 (REFL :args (_let_85)))) (let ((_let_89 (REFL :args (_let_86)))) (let ((_let_90 (REFL :args (_let_37)))) (let ((_let_91 (ASSUME :args (_let_9)))) (let ((_let_92 (SYMM _let_91))) (let ((_let_93 (SYMM _let_92))) (let ((_let_94 (ASSUME :args (_let_57)))) (let ((_let_95 (ASSUME :args (_let_12)))) (let ((_let_96 (SYMM (SYMM _let_95)))) (let ((_let_97 (ASSUME :args (_let_60)))) (let ((_let_98 (ASSUME :args (_let_87)))) (let ((_let_99 (ASSUME :args (_let_20)))) (let ((_let_100 (SYMM _let_99))) (let ((_let_101 (_let_6))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 ((tptp.unordered_pair A B)))) (let ((_let_104 (and _let_53 _let_52 _let_51))) (let ((_let_105 (ASSUME :args (_let_52)))) (let ((_let_106 (ASSUME :args (_let_51)))) (let ((_let_107 (ASSUME :args (_let_53)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_104)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_106 _let_107) (SCOPE (TRANS (SYMM _let_107) (SYMM (SYMM _let_106)) (SYMM (SYMM _let_105))) :args (_let_52 _let_51 _let_53))) :args (_let_53 _let_52 _let_51))) :args (true _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_53 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_52 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_91 (MODUS_PONENS (AND_INTRO _let_95 _let_99 _let_91) (SCOPE (TRANS _let_92 (CONG (SYMM _let_100) :args (APPLY_UF tptp.singleton)) _let_96) :args (_let_12 _let_20 _let_9))) _let_95 _let_97 _let_94 _let_98) :args (_let_20 _let_9 _let_12 _let_57 _let_87 _let_60)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_98)) (TRUE_INTRO (TRANS (TRANS (SYMM (SYMM _let_97)) _let_96 (SYMM (ASSUME :args (_let_13))) _let_92) _let_93 (SYMM (TRANS (SYMM _let_94) _let_93)))))) :args (_let_9 _let_13 _let_12 _let_60 _let_57 _let_87)) :args ((not (and _let_20 _let_9 _let_12 _let_57 _let_87 _let_60)) SB_LITERAL))) (CONG _let_90 _let_89 _let_88 (REFL :args (_let_62)) (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_51))) (REFL :args (_let_84)) :args _let_46)) :args ((or _let_37 _let_62 _let_86 _let_85 _let_51 _let_84))) _let_19 _let_18 _let_83 _let_82 (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_51 _let_58 _let_60 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_50 _let_8 _let_49 _let_11 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_25)) _let_24 :args (_let_61 false _let_23)) _let_79 (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_57 _let_51 _let_58 (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_49 _let_11 _let_50 _let_8 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_25))) _let_24 :args (_let_59 false _let_23)) _let_79 :args (_let_51 false _let_12 false _let_9 false _let_20 false _let_63 false _let_60 false _let_61 false _let_56 false _let_57 false _let_59 false _let_56)) :args (_let_31 false _let_53 false _let_52 false _let_51)))) (let ((_let_109 (not _let_32))) (let ((_let_110 (not _let_35))) (let ((_let_111 (not _let_27))) (let ((_let_112 (and _let_20 _let_111 _let_32))) (let ((_let_113 (ASSUME :args (_let_111)))) (let ((_let_114 (=))) (let ((_let_115 (ASSUME :args (_let_32)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_112)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_115 _let_99) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (TRANS _let_100 (SYMM (SYMM _let_115))) :args _let_114) (FALSE_INTRO _let_113))) :args (_let_111 _let_32 _let_20))) :args (_let_20 _let_111 _let_32))) :args (true _let_112)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_27))) (REFL :args (_let_109)) (REFL :args (_let_110)) :args _let_46)) :args ((or _let_27 _let_37 _let_110 _let_109))) (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_27 _let_35 _let_33 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_25)) _let_24 :args (_let_36 false _let_23)) _let_108 (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_27 _let_32 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_25))) _let_24 :args (_let_34 false _let_23)) _let_108 (CNF_AND_NEG :args (_let_28)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 1)) _let_48 :args ((not _let_28) true _let_42)) :args (_let_37 false _let_35 false _let_36 false _let_31 false _let_32 false _let_34 false _let_31 true _let_27 true _let_28)))) (let ((_let_117 (tptp.unordered_pair _let_11 _let_49))) (let ((_let_118 (tptp.unordered_pair _let_8 _let_50))) (let ((_let_119 (= _let_118 _let_117))) (let ((_let_120 (not _let_119))) (let ((_let_121 (or _let_120 _let_14 _let_57))) (let ((_let_122 (= _let_54 _let_117))) (let ((_let_123 (= _let_55 _let_118))) (let ((_let_124 (and _let_40 _let_65 _let_64 _let_123 _let_122))) (let ((_let_125 (ASSUME :args (_let_122)))) (let ((_let_126 (ASSUME :args (_let_123)))) (let ((_let_127 (and _let_9 _let_12 _let_21))) (let ((_let_128 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_127)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_91 _let_95) (SCOPE (FALSE_ELIM (TRANS (CONG _let_93 _let_96 :args _let_114) (FALSE_INTRO _let_128))) :args (_let_21 _let_9 _let_12))) :args (_let_9 _let_12 _let_21))) :args (true _let_127)) (CONG _let_89 _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_13))) (REFL :args ((not _let_14))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_57 _let_120 _let_14 (not _let_121)))) (MACRO_RESOLUTION_TRUST _let_83 _let_116 _let_82 :args (_let_62 true _let_20 false _let_63)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_124)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_125 _let_73 _let_75 _let_77 _let_126) (SCOPE (TRANS (SYMM _let_126) _let_78 _let_76 _let_74 (SYMM (SYMM _let_125))) :args (_let_122 _let_64 _let_40 _let_65 _let_123))) :args (_let_40 _let_65 _let_64 _let_123 _let_122))) :args (true _let_124)) _let_71 _let_70 _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_50 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_123 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_49 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_122 false _let_6)) :args (_let_119 false _let_40 false _let_65 false _let_64 false _let_123 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_8 _let_50 _let_11 _let_49 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_25)) _let_24 :args (_let_121 false _let_23)) :args (_let_14 true _let_57 false _let_119 false _let_121)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_22))) :args ((or _let_20 _let_21 (not _let_22)))) _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_25))) _let_24 :args (_let_22 false _let_23)) :args (_let_21 true _let_20 false _let_22)) _let_19 _let_18 :args (false false _let_14 true _let_13 false _let_12 false _let_9)) :args (_let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset (tptp.singleton A) (tptp.singleton B)) (= A B))) _let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.singleton A) (tptp.unordered_pair B C)) (= B C))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55  )
% 0.21/0.55  % SZS output end Proof for SEU156+3
% 0.21/0.55  % cvc5---1.0.5 exiting
% 0.21/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------