TSTP Solution File: COM008+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM008+2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 21.18s 21.67s
% Output : Proof 21.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM008+2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n002.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 13:00:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 21.18/21.67 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.UB1arRPFtj/cvc5---1.0.5_29705.p...
% 21.18/21.67 ------- get file name : TPTP file name is COM008+2
% 21.18/21.67 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29705.smt2...
% 21.18/21.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.18/21.67 --- Run --no-e-matching --full-saturate-quant at 5...
% 21.18/21.67 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.18/21.67 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.18/21.67 % SZS status Theorem for COM008+2
% 21.18/21.67 % SZS output start Proof for COM008+2
% 21.18/21.67 (
% 21.18/21.67 (let ((_let_1 (not tptp.goal))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.transitive_reflexive_rewrite A B) (or (= 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)) (=> (= A B) (tptp.transitive_reflexive_rewrite A B))))) (let ((_let_7 (tptp.transitive_reflexive_rewrite tptp.a tptp.c))) (let ((_let_8 (tptp.transitive_reflexive_rewrite tptp.a tptp.b))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (forall ((A $$unsorted)) (=> (and (tptp.transitive_reflexive_rewrite tptp.b A) (tptp.transitive_reflexive_rewrite tptp.c A)) tptp.goal)))) (let ((_let_11 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 D)) (not (tptp.transitive_reflexive_rewrite tptp.b D)))))) (let ((_let_12 (tptp.transitive_reflexive_rewrite tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (tptp.transitive_reflexive_rewrite tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18))) (let ((_let_22 (tptp.rewrite tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_23 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 tptp.c))) (let ((_let_24 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite tptp.c D)) (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 D)))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_23))) (let ((_let_27 (not _let_22))) (let ((_let_28 (or _let_27 _let_26 _let_20 _let_25))) (let ((_let_29 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.transitive_reflexive_rewrite tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30))) (let ((_let_34 (tptp.transitive_reflexive_rewrite tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_32))) (let ((_let_37 (or _let_18 _let_30 _let_34))) (let ((_let_38 (or))) (let ((_let_39 (REFL :args (_let_21)))) (let ((_let_40 (or _let_27 _let_26))) (let ((_let_41 (forall ((C $$unsorted)) (or (not (tptp.rewrite tptp.a C)) (not (tptp.transitive_reflexive_rewrite C tptp.c)))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (not _let_41))) (let ((_let_44 (= tptp.c tptp.a))) (let ((_let_45 (not _let_7))) (let ((_let_46 (or _let_45 _let_44 _let_43))) (let ((_let_47 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite A B)) (= A B) (not (forall ((C $$unsorted)) (or (not (tptp.rewrite A C)) (not (tptp.transitive_reflexive_rewrite C B))))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 (tptp.transitive_reflexive_rewrite tptp.c tptp.b))) (let ((_let_51 (not _let_44))) (let ((_let_52 (ASSUME :args (_let_9)))) (let ((_let_53 (AND_ELIM _let_52 :args (0)))) (let ((_let_54 (not _let_50))) (let ((_let_55 (tptp.transitive_reflexive_rewrite tptp.b tptp.b))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_54))) (let ((_let_58 (forall ((A $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite tptp.b A)) (not (tptp.transitive_reflexive_rewrite tptp.c A)))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 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_58) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_60 (_let_58))) (let ((_let_61 (tptp.b QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_62 (forall ((B $$unsorted)) (tptp.transitive_reflexive_rewrite B B)))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 (not _let_8))) (let ((_let_66 (ASSUME :args (_let_8)))) (let ((_let_67 (APPLY_UF tptp.transitive_reflexive_rewrite))) (let ((_let_68 (ASSUME :args (_let_44)))) (let ((_let_69 (ASSUME :args (_let_54)))) (let ((_let_70 (AND_ELIM _let_52 :args (1)))) (let ((_let_71 (_let_43))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_41))) (REFL :args (_let_42)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_44 _let_43 (not _let_46)))) _let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_66 _let_68 _let_69) :args (_let_8 _let_54 _let_44)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_69)) (CONG (SYMM (SYMM _let_68)) (REFL :args (tptp.b)) :args _let_67) (TRUE_INTRO _let_66))) :args (_let_8 _let_44 _let_54)) :args ((not (and _let_8 _let_54 _let_44)) SB_LITERAL))) (CONG (REFL :args (_let_65)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_50))) (REFL :args (_let_51)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_54 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_61) :args _let_64)) _let_63 :args (_let_55 false _let_62)) (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_55 false _let_57)) _let_53 :args (_let_51 true _let_50 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a tptp.c QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_49))) _let_48 :args (_let_46 false _let_47)) :args (_let_43 false _let_7 true _let_44 false _let_46)) :args (_let_42 true _let_41)))) (let ((_let_73 (REFL :args (_let_40)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 0)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_22))) :args _let_38)) :args ((or _let_22 _let_40))) _let_72 :args (_let_22 true _let_40)))) (let ((_let_75 (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 $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite B D)) (not (tptp.transitive_reflexive_rewrite C D))))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 (_let_25))) (let ((_let_79 (REFL :args (_let_33)))) (let ((_let_80 (forall ((A $$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_81 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 (not _let_11))) (let ((_let_84 (_let_83))) (let ((_let_85 (not _let_16))) (let ((_let_86 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87 _let_14))) (let ((_let_91 (or _let_87 _let_13))) (let ((_let_92 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 D)) (not (tptp.transitive_reflexive_rewrite tptp.b D)))))) (let ((_let_93 (not _let_91))) (let ((_let_94 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 D)) (not (tptp.transitive_reflexive_rewrite tptp.b D)))))) (let ((_let_95 (not _let_92))) (let ((_let_96 (not _let_94))) (let ((_let_97 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 tptp.b))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))) (let ((_let_100 (not _let_99))) (let ((_let_101 (tptp.rewrite tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100 _let_98 _let_96))) (let ((_let_104 (or _let_89 _let_100))) (let ((_let_105 (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 D)) (not (tptp.transitive_reflexive_rewrite SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 D)))))) (let ((_let_106 (not _let_104))) (let ((_let_107 (not _let_105))) (let ((_let_108 (or _let_27 _let_102 _let_107))) (let ((_let_109 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.rewrite A B)) (not (tptp.rewrite A C)) (not (forall ((D $$unsorted)) (or (not (tptp.transitive_reflexive_rewrite B D)) (not (tptp.transitive_reflexive_rewrite C D))))))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (or _let_102 _let_98))) (let ((_let_112 (forall ((C $$unsorted)) (or (not (tptp.rewrite tptp.a C)) (not (tptp.transitive_reflexive_rewrite C tptp.b)))))) (let ((_let_113 (not _let_111))) (let ((_let_114 (not _let_112))) (let ((_let_115 (= tptp.b tptp.a))) (let ((_let_116 (or _let_65 _let_115 _let_114))) (let ((_let_117 (tptp.transitive_reflexive_rewrite tptp.b tptp.c))) (let ((_let_118 (not _let_115))) (let ((_let_119 (tptp.transitive_reflexive_rewrite tptp.c tptp.c))) (let ((_let_120 (not _let_119))) (let ((_let_121 (not _let_117))) (let ((_let_122 (or _let_121 _let_120))) (let ((_let_123 (tptp.c QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_124 (ASSUME :args (_let_121)))) (let ((_let_125 (ASSUME :args (_let_115)))) (let ((_let_126 (ASSUME :args (_let_7)))) (let ((_let_127 (_let_114))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_127)) :args _let_127)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_112))) (REFL :args (_let_113)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_65 _let_115 _let_114 (not _let_116)))) _let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_124 _let_125 _let_126) :args (_let_7 _let_115 _let_121)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_126)) (CONG (SYMM _let_125) (REFL :args (tptp.c)) :args _let_67) (FALSE_INTRO _let_124))) :args (_let_121 _let_115 _let_7)) :args ((not (and _let_7 _let_115 _let_121)) SB_LITERAL))) (CONG (REFL :args (_let_45)) (REFL :args (_let_118)) (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_117))) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_121 _let_120 (not _let_122)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_123) :args _let_64)) _let_63 :args (_let_119 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_123) :args _let_60)) _let_59 :args (_let_122 false _let_58)) :args (_let_121 false _let_119 false _let_122)) _let_70 :args (_let_118 true _let_117 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a tptp.b QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_49))) _let_48 :args (_let_116 false _let_47)) :args (_let_114 false _let_8 true _let_115 false _let_116)) :args (_let_113 true _let_112)))) (let ((_let_129 (REFL :args (_let_111)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_111 0)) (CONG _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_101))) :args _let_38)) :args ((or _let_101 _let_111))) _let_128 :args (_let_101 true _let_111)))) (let ((_let_131 (_let_107))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_131)) :args _let_131)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_105))) (REFL :args (_let_106)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_102 _let_27 _let_107 (not _let_108)))) _let_130 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_107 false _let_101 false _let_22 false _let_108)) :args (_let_106 true _let_105)))) (let ((_let_133 (REFL :args (_let_104)))) (let ((_let_134 (_let_95))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_134)) :args _let_134)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_92))) (REFL :args (_let_93)) :args _let_38)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_92 (= D D)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_102 _let_98 _let_100 _let_96 (not _let_103)))) _let_130 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_111 1)) (CONG _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_97))) :args _let_38)) :args ((or _let_97 _let_111))) _let_128 :args (_let_97 true _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_104 1)) (CONG _let_133 (MACRO_SR_PRED_INTRO :args ((= (not _let_100) _let_99))) :args _let_38)) :args ((or _let_99 _let_104))) _let_132 :args (_let_99 true _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.b QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_77)) _let_76 :args (_let_103 false _let_75)) :args (_let_96 false _let_101 false _let_97 false _let_99 false _let_103)) :args (_let_95 true _let_94)) :args (_let_93 true _let_92)))) (let ((_let_136 (REFL :args (_let_91)))) (let ((_let_137 (_let_11))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_137) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_137)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_13 _let_15 _let_85))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 1)) (CONG _let_136 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_38)) :args ((or _let_12 _let_91))) _let_135 :args (_let_12 true _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_87 _let_14 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_104 0)) (CONG _let_133 (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_88))) :args _let_38)) :args ((or _let_88 _let_104))) _let_132 :args (_let_88 true _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 0)) (CONG _let_136 (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_86))) :args _let_38)) :args ((or _let_86 _let_91))) _let_135 :args (_let_86 true _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_82)) _let_81 :args (_let_90 false _let_80)) :args (_let_14 false _let_88 false _let_86 false _let_90)) :args (_let_85 false _let_12 false _let_14)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_84)) :args _let_84)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_11))) (REFL :args ((not _let_21))) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_18 _let_30 _let_34 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_82)) _let_81 :args (_let_37 false _let_80)) (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_32 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_60)) _let_59 :args (_let_36 false _let_58)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_38)) :args ((or _let_29 _let_33))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_38)) :args ((or _let_31 _let_33))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_78)) :args _let_78)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) (REFL :args ((not _let_33))) :args _let_38)) (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_26 _let_20 _let_25 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_77)) _let_76 :args (_let_28 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 1)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_23))) :args _let_38)) :args ((or _let_23 _let_40))) _let_72 :args (_let_23 true _let_40)) _let_74 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_38)) :args ((or _let_17 _let_21))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_38)) :args ((or _let_19 _let_21))) :args (_let_21 false _let_37 true _let_34 false _let_36 false _let_29 false _let_31 true _let_33 true _let_24 false _let_28 false _let_23 false _let_22 false _let_17 false _let_19)) :args (_let_11 false _let_21)) :args (false true _let_16 false _let_11)) :args (_let_10 _let_9 _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.18/21.67 )
% 21.18/21.67 % SZS output end Proof for COM008+2
% 21.18/21.67 % cvc5---1.0.5 exiting
% 21.18/21.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------