%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM008+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 : Wed Aug 30 18:36:55 EDT 2023

% Result   : Theorem 21.08s 21.26s
% Output   : Proof 21.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COM008+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 12:42:07 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 21.08/21.26  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qV7RzryaFN/cvc5---1.0.5_27961.p...
% 21.08/21.26  ------- get file name : TPTP file name is COM008+1
% 21.08/21.26  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27961.smt2...
% 21.08/21.26  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.08/21.26  --- Run --no-e-matching --full-saturate-quant at 5...
% 21.08/21.26  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.08/21.26  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.08/21.26  % SZS status Theorem for COM008+1
% 21.08/21.26  % SZS output start Proof for COM008+1
% 21.08/21.26  (
% 21.08/21.26  (let ((_let_1 (not tptp.goal))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.transitive_reflexive_rewrite A B) (or (tptp.equalish A B) (exists ((C $$unsorted)) (and (tptp.rewrite A C) (tptp.transitive_reflexive_rewrite C B)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.rewrite tptp.a A) (tptp.transitive_reflexive_rewrite A B) (tptp.transitive_reflexive_rewrite A C)) (exists ((D $$unsorted)) (and (tptp.transitive_reflexive_rewrite B D) (tptp.transitive_reflexive_rewrite C D))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.rewrite A B) (tptp.rewrite A C)) (exists ((D $$unsorted)) (and (tptp.transitive_reflexive_rewrite B D) (tptp.transitive_reflexive_rewrite C D))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.transitive_reflexive_rewrite A B) (tptp.transitive_reflexive_rewrite B C)) (tptp.transitive_reflexive_rewrite A C))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.equalish A B) (tptp.transitive_reflexive_rewrite A B))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.equalish A B) (tptp.equalish B A))))) (let ((_let_8 (forall ((A $$unsorted)) (tptp.equalish A A)))) (let ((_let_9 (tptp.transitive_reflexive_rewrite tptp.a tptp.c))) (let ((_let_10 (tptp.transitive_reflexive_rewrite tptp.a tptp.b))) (let ((_let_11 (and _let_10 _let_9))) (let ((_let_12 (forall ((A $$unsorted)) (=> (and (tptp.transitive_reflexive_rewrite tptp.b A) (tptp.transitive_reflexive_rewrite tptp.c A)) tptp.goal)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite A B)) (not (tptp.transitive_reflexive_rewrite B C)) (tptp.transitive_reflexive_rewrite A C))))) (let ((_let_14 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_15 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_14))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (not _let_14))) (let ((_let_23 (tptp.transitive_reflexive_rewrite tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22))) (let ((_let_26 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite tptp.b D)) (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 D)))))) (let ((_let_27 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.transitive_reflexive_rewrite tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28))) (let ((_let_32 (tptp.rewrite tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_33 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 tptp.c))) (let ((_let_34 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 D)) (not (tptp.transitive_reflexive_rewrite tptp.c D)))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (not _let_33))) (let ((_let_37 (not _let_32))) (let ((_let_38 (or _let_37 _let_28 _let_36 _let_35))) (let ((_let_39 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 D)) (not (tptp.transitive_reflexive_rewrite tptp.c D)))))) (let ((_let_40 (tptp.transitive_reflexive_rewrite tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41))) (let ((_let_45 (tptp.transitive_reflexive_rewrite tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_46 (or _let_30 _let_43 _let_45))) (let ((_let_47 (not _let_45))) (let ((_let_48 (or _let_47 _let_41))) (let ((_let_49 (or))) (let ((_let_50 (REFL :args (_let_31)))) (let ((_let_51 (or _let_37 _let_36))) (let ((_let_52 (forall ((C $$unsorted)) (or (not (tptp.rewrite tptp.a C)) (not (tptp.transitive_reflexive_rewrite C tptp.c)))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (not _let_52))) (let ((_let_55 (tptp.equalish tptp.a tptp.c))) (let ((_let_56 (not _let_9))) (let ((_let_57 (or _let_56 _let_55 _let_54))) (let ((_let_58 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite A B)) (tptp.equalish A B) (not (forall ((C $$unsorted)) (or (not (tptp.rewrite A C)) (not (tptp.transitive_reflexive_rewrite C B))))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_58))) (let ((_let_61 (tptp.a tptp.c QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_62 (tptp.equalish tptp.c tptp.a))) (let ((_let_63 (not _let_55))) (let ((_let_64 (or _let_63 _let_62))) (let ((_let_65 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.equalish A B)) (tptp.equalish B A))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_65))) (let ((_let_68 (tptp.transitive_reflexive_rewrite tptp.c tptp.a))) (let ((_let_69 (not _let_62))) (let ((_let_70 (or _let_69 _let_68))) (let ((_let_71 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.equalish A B)) (tptp.transitive_reflexive_rewrite A B))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 (tptp.transitive_reflexive_rewrite tptp.c tptp.b))) (let ((_let_75 (not _let_10))) (let ((_let_76 (not _let_68))) (let ((_let_77 (or _let_76 _let_75 _let_74))) (let ((_let_78 (_let_13))) (let ((_let_79 (not _let_74))) (let ((_let_80 (tptp.transitive_reflexive_rewrite tptp.b tptp.b))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_79))) (let ((_let_83 (forall ((A $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite tptp.b A)) (not (tptp.transitive_reflexive_rewrite tptp.c A)))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_12)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_1)) :args ((= tptp.goal false))) :args ((or tptp.goal _let_83) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_85 (_let_83))) (let ((_let_86 (tptp.b QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_87 (tptp.equalish tptp.b tptp.b))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_80))) (let ((_let_90 (_let_8))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (ASSUME :args (_let_11)))) (let ((_let_93 (AND_ELIM _let_92 :args (0)))) (let ((_let_94 (AND_ELIM _let_92 :args (1)))) (let ((_let_95 (_let_54))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_95)) :args _let_95)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_52))) (REFL :args (_let_53)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_55 _let_54 (not _let_57)))) _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_62 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_68 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_75 _let_74 _let_76 (not _let_77)))) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_79 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_80 _let_88 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_86) :args _let_90)) _let_91 :args (_let_87 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.b tptp.b QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_73)) _let_72 :args (_let_89 false _let_71)) :args (_let_80 false _let_87 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_86) :args _let_85)) _let_84 :args (_let_82 false _let_83)) :args (_let_79 false _let_80 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.c tptp.a tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_78)) _let_20 :args (_let_77 false _let_13)) :args (_let_76 false _let_10 true _let_74 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.c tptp.a QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_73)) _let_72 :args (_let_70 false _let_71)) :args (_let_69 true _let_68 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args _let_61) :args _let_67)) _let_66 :args (_let_64 false _let_65)) :args (_let_63 true _let_62 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_61) :args _let_60)) _let_59 :args (_let_57 false _let_58)) :args (_let_54 false _let_9 true _let_55 false _let_57)) :args (_let_53 true _let_52)))) (let ((_let_97 (REFL :args (_let_51)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 0)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_32))) :args _let_49)) :args ((or _let_32 _let_51))) _let_96 :args (_let_32 true _let_51)))) (let ((_let_99 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.rewrite tptp.a A)) (not (tptp.transitive_reflexive_rewrite A B)) (not (tptp.transitive_reflexive_rewrite A C)) (not (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite B D)) (not (tptp.transitive_reflexive_rewrite C D))))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 (= D D))) (let ((_let_103 (not _let_39))) (let ((_let_104 (_let_103))) (let ((_let_105 (REFL :args (_let_44)))) (let ((_let_106 (not _let_26))) (let ((_let_107 (_let_106))) (let ((_let_108 (_let_26))) (let ((_let_109 (or _let_24 _let_16))) (let ((_let_110 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite tptp.b D)) (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 D)))))) (let ((_let_111 (not _let_109))) (let ((_let_112 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite tptp.b D)) (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 D)))))) (let ((_let_113 (not _let_110))) (let ((_let_114 (not _let_112))) (let ((_let_115 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 tptp.b))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.rewrite tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_120 (not _let_119))) (let ((_let_121 (or _let_120 _let_118 _let_116 _let_114))) (let ((_let_122 (or _let_18 _let_116))) (let ((_let_123 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 D)) (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 D)))))) (let ((_let_124 (not _let_122))) (let ((_let_125 (not _let_123))) (let ((_let_126 (or _let_37 _let_120 _let_125))) (let ((_let_127 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.rewrite A B)) (not (tptp.rewrite A C)) (not (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite B D)) (not (tptp.transitive_reflexive_rewrite C D))))))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (or _let_120 _let_118))) (let ((_let_130 (forall ((C $$unsorted)) (or (not (tptp.rewrite tptp.a C)) (not (tptp.transitive_reflexive_rewrite C tptp.b)))))) (let ((_let_131 (not _let_129))) (let ((_let_132 (not _let_130))) (let ((_let_133 (tptp.equalish tptp.a tptp.b))) (let ((_let_134 (or _let_75 _let_133 _let_132))) (let ((_let_135 (tptp.a tptp.b QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_136 (tptp.equalish tptp.b tptp.a))) (let ((_let_137 (not _let_133))) (let ((_let_138 (or _let_137 _let_136))) (let ((_let_139 (tptp.transitive_reflexive_rewrite tptp.b tptp.a))) (let ((_let_140 (not _let_136))) (let ((_let_141 (or _let_140 _let_139))) (let ((_let_142 (tptp.transitive_reflexive_rewrite tptp.b tptp.c))) (let ((_let_143 (not _let_139))) (let ((_let_144 (or _let_143 _let_56 _let_142))) (let ((_let_145 (tptp.transitive_reflexive_rewrite tptp.c tptp.c))) (let ((_let_146 (not _let_145))) (let ((_let_147 (not _let_142))) (let ((_let_148 (or _let_147 _let_146))) (let ((_let_149 (tptp.c QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_150 (tptp.equalish tptp.c tptp.c))) (let ((_let_151 (not _let_150))) (let ((_let_152 (or _let_151 _let_145))) (let ((_let_153 (_let_132))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_153)) :args _let_153)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_132) _let_130))) (REFL :args (_let_131)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_75 _let_133 _let_132 (not _let_134)))) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_137 _let_136 (not _let_138)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_140 _let_139 (not _let_141)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_56 _let_142 _let_143 (not _let_144)))) _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_147 _let_146 (not _let_148)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_151 _let_145 (not _let_152)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_149) :args _let_90)) _let_91 :args (_let_150 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.c tptp.c QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_73)) _let_72 :args (_let_152 false _let_71)) :args (_let_145 false _let_150 false _let_152)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_149) :args _let_85)) _let_84 :args (_let_148 false _let_83)) :args (_let_147 false _let_145 false _let_148)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.b tptp.a tptp.c QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_78)) _let_20 :args (_let_144 false _let_13)) :args (_let_143 false _let_9 true _let_142 false _let_144)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.b tptp.a QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_73)) _let_72 :args (_let_141 false _let_71)) :args (_let_140 true _let_139 false _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args _let_135) :args _let_67)) _let_66 :args (_let_138 false _let_65)) :args (_let_137 true _let_136 false _let_138)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_135) :args _let_60)) _let_59 :args (_let_134 false _let_58)) :args (_let_132 false _let_10 true _let_133 false _let_134)) :args (_let_131 true _let_130)))) (let ((_let_155 (REFL :args (_let_129)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_129 0)) (CONG _let_155 (MACRO_SR_PRED_INTRO :args ((= (not _let_120) _let_119))) :args _let_49)) :args ((or _let_119 _let_129))) _let_154 :args (_let_119 true _let_129)))) (let ((_let_157 (_let_125))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_157)) :args _let_157)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_123))) (REFL :args (_let_124)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_37 _let_120 _let_125 (not _let_126)))) _let_98 _let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_127))) _let_128 :args (_let_126 false _let_127)) :args (_let_125 false _let_32 false _let_119 false _let_126)) :args (_let_124 true _let_123)))) (let ((_let_159 (REFL :args (_let_122)))) (let ((_let_160 (_let_113))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_160)) :args _let_160)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_110))) (REFL :args (_let_111)) :args _let_49)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_110 _let_102))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_120 _let_118 _let_116 _let_114 (not _let_121)))) _let_156 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_129 1)) (CONG _let_155 (MACRO_SR_PRED_INTRO :args ((= (not _let_118) _let_117))) :args _let_49)) :args ((or _let_117 _let_129))) _let_154 :args (_let_117 true _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 1)) (CONG _let_159 (MACRO_SR_PRED_INTRO :args ((= (not _let_116) _let_115))) :args _let_49)) :args ((or _let_115 _let_122))) _let_158 :args (_let_115 true _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_101)) _let_100 :args (_let_121 false _let_99)) :args (_let_114 false _let_119 false _let_117 false _let_115 false _let_121)) :args (_let_113 true _let_112)) :args (_let_111 true _let_110)))) (let ((_let_162 (REFL :args (_let_109)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_16 _let_14 _let_21))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 0)) (CONG _let_159 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_49)) :args ((or _let_17 _let_122))) _let_158 :args (_let_17 true _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_109 1)) (CONG _let_162 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_49)) :args ((or _let_15 _let_109))) _let_161 :args (_let_15 true _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_22 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_109 0)) (CONG _let_162 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_49)) :args ((or _let_23 _let_109))) _let_161 :args (_let_23 true _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_108) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_108)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_107)) :args _let_107)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_26))) (REFL :args ((not _let_31))) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_41 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_85)) _let_84 :args (_let_48 false _let_83)) (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_30 _let_43 _let_45 (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_78)) _let_20 :args (_let_46 false _let_13)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 1)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_49)) :args ((or _let_40 _let_44))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_49)) :args ((or _let_42 _let_44))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_104)) :args _let_104)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_39))) (REFL :args ((not _let_44))) :args _let_49)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_39 _let_102))) (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 _let_28 _let_35 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 tptp.c QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_101)) _let_100 :args (_let_38 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 1)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_33))) :args _let_49)) :args ((or _let_33 _let_51))) _let_96 :args (_let_33 true _let_51)) _let_98 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_49)) :args ((or _let_27 _let_31))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_49)) :args ((or _let_29 _let_31))) :args (_let_31 false _let_48 false _let_45 false _let_46 false _let_40 false _let_42 true _let_44 true _let_39 true _let_34 false _let_38 false _let_33 false _let_32 false _let_27 false _let_29)) :args (_let_26 false _let_31)) :args (_let_25 false _let_26)) :args (_let_22 false _let_23 false _let_25)) :args (_let_21 false _let_17 false _let_15 true _let_14)) _let_20 :args (false true _let_19 false _let_13)) :args (_let_12 _let_11 _let_8 _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.rewrite A B) (tptp.transitive_reflexive_rewrite A B))) _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.08/21.26  )
% 21.08/21.26  % SZS output end Proof for COM008+1
% 21.08/21.26  % cvc5---1.0.5 exiting
% 21.08/21.26  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------