TSTP Solution File: COM019+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM019+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 18:36:59 EDT 2023
% Result : Theorem 22.47s 22.73s
% Output : Proof 22.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COM019+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 13:49:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.47 %----Proving TF0_NAR, FOF, or CNF
% 22.47/22.73 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.bTc4f7krkd/cvc5---1.0.5_8685.p...
% 22.47/22.73 ------- get file name : TPTP file name is COM019+1
% 22.47/22.73 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8685.smt2...
% 22.47/22.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 22.47/22.73 --- Run --no-e-matching --full-saturate-quant at 5...
% 22.47/22.73 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 22.47/22.73 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.47/22.73 % SZS status Theorem for COM019+1
% 22.47/22.73 % SZS output start Proof for COM019+1
% 22.47/22.73 (
% 22.47/22.73 (let ((_let_1 (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xd))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.aNormalFormOfIn0 tptp.xd tptp.xw tptp.xR))) (let ((_let_4 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xw))) (let ((_let_5 (tptp.aElement0 tptp.xw))) (let ((_let_6 (and _let_5 _let_4 (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xw)))) (let ((_let_7 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb))) (let ((_let_8 (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR))) (let ((_let_9 (tptp.aElement0 tptp.xu))) (let ((_let_10 (and _let_9 _let_8 _let_7))) (let ((_let_11 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2) (tptp.sdtmndtasgtdt0 W0 tptp.xR W1) (tptp.sdtmndtasgtdt0 W0 tptp.xR W2)) (=> (tptp.iLess0 W0 tptp.xa) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (tptp.sdtmndtasgtdt0 W1 tptp.xR W3) (tptp.sdtmndtasgtdt0 W2 tptp.xR W3)))))))) (let ((_let_12 (tptp.aElement0 tptp.xb))) (let ((_let_13 (tptp.aElement0 tptp.xa))) (let ((_let_14 (and _let_13 _let_12 (tptp.aElement0 tptp.xc)))) (let ((_let_15 (tptp.isTerminating0 tptp.xR))) (let ((_let_16 (and (tptp.isLocallyConfluent0 tptp.xR) _let_15))) (let ((_let_17 (tptp.aRewritingSystem0 tptp.xR))) (let ((_let_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1)) (forall ((W2 $$unsorted)) (= (tptp.aNormalFormOfIn0 W2 W0 W1) (and (tptp.aElement0 W2) (tptp.sdtmndtasgtdt0 W0 W1 W2) (not (exists ((W3 $$unsorted)) (tptp.aReductOfIn0 W3 W2 W1)))))))))) (let ((_let_19 (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) (= (tptp.isTerminating0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W1) (tptp.aElement0 W2)) (=> (tptp.sdtmndtplgtdt0 W1 W0 W2) (tptp.iLess0 W2 W1))))))))) (let ((_let_20 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtasgtdt0 W0 W1 W2) (tptp.sdtmndtasgtdt0 W2 W1 W3)) (tptp.sdtmndtasgtdt0 W0 W1 W3)))))) (let ((_let_21 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (= (tptp.sdtmndtasgtdt0 W0 W1 W2) (or (= W0 W2) (tptp.sdtmndtplgtdt0 W0 W1 W2))))))) (let ((_let_22 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (= (tptp.sdtmndtplgtdt0 W0 W1 W2) (or (tptp.aReductOfIn0 W2 W0 W1) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (tptp.aReductOfIn0 W3 W0 W1) (tptp.sdtmndtplgtdt0 W3 W1 W2))))))))) (let ((_let_23 (or _let_8 (not (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.aReductOfIn0 W3 tptp.xa tptp.xR)) (not (tptp.sdtmndtplgtdt0 W3 tptp.xR tptp.xu)))))))) (let ((_let_24 (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xu))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (not _let_9))) (let ((_let_27 (not _let_17))) (let ((_let_28 (not _let_13))) (let ((_let_29 (or _let_28 _let_27 _let_26 _let_25))) (let ((_let_30 (ASSUME :args (_let_17)))) (let ((_let_31 (0))) (let ((_let_32 (ASSUME :args (_let_14)))) (let ((_let_33 (AND_ELIM _let_32 :args _let_31))) (let ((_let_34 (ASSUME :args (_let_10)))) (let ((_let_35 (AND_ELIM _let_34 :args _let_31))) (let ((_let_36 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aElement0 W2)) (= (tptp.sdtmndtplgtdt0 W0 W1 W2) (or (tptp.aReductOfIn0 W2 W0 W1) (not (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.aReductOfIn0 W3 W0 W1)) (not (tptp.sdtmndtplgtdt0 W3 W1 W2))))))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 (not _let_25))) (let ((_let_40 (1))) (let ((_let_41 (tptp.iLess0 tptp.xu tptp.xa))) (let ((_let_42 (not _let_24))) (let ((_let_43 (or _let_28 _let_26 _let_42 _let_41))) (let ((_let_44 (forall ((W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (not (tptp.sdtmndtplgtdt0 W1 tptp.xR W2)) (tptp.iLess0 W2 W1))))) (let ((_let_45 (= _let_15 _let_44))) (let ((_let_46 (or _let_27 _let_45))) (let ((_let_47 (forall ((W0 $$unsorted)) (or (not (tptp.aRewritingSystem0 W0)) (= (tptp.isTerminating0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (not (tptp.sdtmndtplgtdt0 W1 W0 W2)) (tptp.iLess0 W2 W1)))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_44))) (let ((_let_50 (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR W3)) (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR W3)))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (not _let_41))) (let ((_let_53 (not _let_7))) (let ((_let_54 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xd))) (let ((_let_55 (not _let_54))) (let ((_let_56 (not _let_12))) (let ((_let_57 (tptp.aElement0 tptp.xd))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_26 _let_58 _let_56 _let_55 _let_53 _let_52 _let_51))) (let ((_let_60 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (not (tptp.sdtmndtasgtdt0 W0 tptp.xR W1)) (not (tptp.sdtmndtasgtdt0 W0 tptp.xR W2)) (not (tptp.iLess0 W0 tptp.xa)) (not (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.sdtmndtasgtdt0 W1 tptp.xR W3)) (not (tptp.sdtmndtasgtdt0 W2 tptp.xR W3))))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR W3)) (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR W3)))))) (let ((_let_63 (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66 _let_64))) (let ((_let_70 (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))) (let ((_let_71 (= tptp.xd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))) (let ((_let_72 (or _let_71 _let_70))) (let ((_let_73 (= _let_63 _let_72))) (let ((_let_74 (or _let_58 _let_27 _let_68 _let_73))) (let ((_let_75 (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.aReductOfIn0 W3 tptp.xd tptp.xR)) (not (tptp.sdtmndtplgtdt0 W3 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64)))))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 tptp.xd tptp.xR))) (let ((_let_78 (or _let_77 _let_76))) (let ((_let_79 (= _let_70 _let_78))) (let ((_let_80 (or _let_58 _let_27 _let_68 _let_79))) (let ((_let_81 (or))) (let ((_let_82 (REFL :args (_let_69)))) (let ((_let_83 (forall ((W3 $$unsorted)) (not (tptp.aReductOfIn0 W3 tptp.xd tptp.xR))))) (let ((_let_84 (tptp.sdtmndtasgtdt0 tptp.xw tptp.xR tptp.xd))) (let ((_let_85 (and _let_57 _let_84 _let_83))) (let ((_let_86 (= _let_3 _let_85))) (let ((_let_87 (not _let_5))) (let ((_let_88 (or _let_87 _let_27 _let_86))) (let ((_let_89 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1038 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (= (tptp.aNormalFormOfIn0 BOUND_VARIABLE_1038 W0 W1) (and (tptp.aElement0 BOUND_VARIABLE_1038) (tptp.sdtmndtasgtdt0 W0 W1 BOUND_VARIABLE_1038) (forall ((W3 $$unsorted)) (not (tptp.aReductOfIn0 W3 BOUND_VARIABLE_1038 W1))))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (ASSUME :args (_let_6)))) (let ((_let_92 (AND_ELIM _let_91 :args _let_31))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_86)) :args ((or (not _let_3) _let_85 (not _let_86)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_27 _let_87 _let_86 (not _let_88)))) _let_30 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.xw tptp.xR tptp.xd QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_89))) _let_90 :args (_let_88 false _let_89)) :args (_let_86 false _let_17 false _let_5 false _let_88)) :args (_let_85 false _let_3 false _let_86)))) (let ((_let_94 (not _let_85))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 0)) :args ((or _let_57 _let_94))) _let_93 :args (_let_57 false _let_85)))) (let ((_let_96 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aElement0 W2)) (= (tptp.sdtmndtasgtdt0 W0 W1 W2) (or (= W0 W2) (tptp.sdtmndtplgtdt0 W0 W1 W2))))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (tptp.xd tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_99 (ASSUME :args (_let_2)))) (let ((_let_100 (ASSUME :args (_let_71)))) (let ((_let_101 (ASSUME :args (_let_65)))) (let ((_let_102 (not _let_78))) (let ((_let_103 (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 tptp.xd tptp.xR))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or (not (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83)) _let_104 (not (tptp.sdtmndtplgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 2)) :args ((or _let_83 _let_94))) _let_93 :args (_let_83 false _let_85)))) (let ((_let_107 (_let_83))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 (_let_76))) (let ((_let_110 (not _let_62))) (let ((_let_111 (_let_110))) (let ((_let_112 (not _let_84))) (let ((_let_113 (not _let_4))) (let ((_let_114 (or _let_26 _let_27 _let_87 _let_58 _let_113 _let_112 _let_54))) (let ((_let_115 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aElement0 W2)) (not (tptp.aElement0 W3)) (not (tptp.sdtmndtasgtdt0 W0 W1 W2)) (not (tptp.sdtmndtasgtdt0 W2 W1 W3)) (tptp.sdtmndtasgtdt0 W0 W1 W3))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_27 _let_28 _let_26 _let_25 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_25)) :args ((or _let_24 (not _let_23) _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_28 _let_26 _let_41 _let_42 (not _let_43)))) _let_33 _let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_56 _let_26 _let_53 _let_58 _let_52 _let_55 _let_51 (not _let_59)))) (AND_ELIM _let_32 :args _let_40) _let_35 (AND_ELIM _let_34 :args (2)) _let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_27 _let_26 _let_87 _let_113 _let_58 _let_112 _let_54 (not _let_114)))) _let_30 _let_35 _let_92 (AND_ELIM _let_91 :args _let_40) _let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_84 _let_94))) _let_93 :args (_let_84 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.xu tptp.xR tptp.xw tptp.xd QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_115))) _let_116 :args (_let_114 false _let_115)) :args (_let_54 false _let_17 false _let_9 false _let_5 false _let_4 false _let_57 false _let_84 false _let_114)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (MACRO_SR_PRED_INTRO :args ((= _let_62 _let_50) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_111)) :args _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_62))) (REFL :args ((not _let_69))) :args _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_70 (not _let_72)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_79)) :args ((or (not _let_70) _let_78 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_76 _let_102))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_107)) _let_106 :args ((not _let_77) false _let_83)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_109)) :args _let_109)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_75))) (REFL :args ((not _let_105))) :args _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_105 1)) (CONG (REFL :args (_let_105)) (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_103))) :args _let_81)) :args ((or _let_103 _let_105))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_107)) _let_106 :args (_let_104 false _let_83)) :args (_let_105 true _let_103)) :args (_let_75 false _let_105)) :args (_let_102 true _let_77 false _let_75)) (REORDERING (CNF_EQUIV_POS1 :args (_let_73)) :args ((or _let_64 _let_72 (not _let_73)))) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_99 _let_100 _let_101) :args (_let_2 _let_65 _let_71)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_101)) (CONG (REFL :args (tptp.xb)) (REFL :args (tptp.xR)) (SYMM _let_100) :args (APPLY_UF tptp.sdtmndtasgtdt0)) (FALSE_INTRO _let_99))) :args (_let_2 _let_71 _let_65)) :args ((not (and _let_2 _let_65 _let_71)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_66)) (REFL :args ((not _let_71))) :args _let_81)) _let_99 (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_27 _let_58 _let_68 _let_79 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_98) :args _let_38)) _let_37 :args (_let_80 false _let_36)) _let_95 _let_30 (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_27 _let_58 _let_68 _let_73 (not _let_74)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_98) :args (_let_96))) _let_97 :args (_let_74 false _let_96)) _let_95 _let_30 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 2)) (CONG _let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_81)) :args ((or _let_63 _let_69))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 1)) (CONG _let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_81)) :args ((or _let_65 _let_69))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 0)) (CONG _let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_81)) :args ((or _let_67 _let_69))) :args (_let_69 true _let_70 true _let_78 false _let_72 true _let_71 true _let_1 false _let_79 false _let_80 false _let_57 false _let_17 false _let_73 false _let_74 false _let_57 false _let_17 false _let_63 false _let_65 false _let_67)) :args (_let_62 false _let_69)) :args (_let_50 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.xu tptp.xd tptp.xb QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_60))) _let_61 :args (_let_59 false _let_60)) :args (_let_52 false _let_12 false _let_9 false _let_7 false _let_57 false _let_54 false _let_50 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (tptp.xa tptp.xu QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or (not _let_15) _let_44 (not _let_45)))) (AND_ELIM (ASSUME :args (_let_16)) :args _let_40) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_27 _let_45 (not _let_46)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.xR QUANTIFIERS_INST_CBQI_PROP)) :args (_let_47))) _let_48 :args (_let_46 false _let_47)) :args (_let_45 false _let_17 false _let_46)) :args (_let_44 false _let_15 false _let_45)) :args (_let_43 false _let_44)) :args (_let_42 false _let_13 false _let_9 true _let_41 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_23 0)) :args ((or (not _let_8) _let_23))) (AND_ELIM _let_34 :args _let_40) :args (_let_23 false _let_8)) :args (_let_39 true _let_24 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.xa tptp.xR tptp.xu QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_38)) _let_37 :args (_let_29 false _let_36)) _let_35 _let_33 _let_30 :args (false true _let_25 false _let_29 false _let_9 false _let_13 false _let_17)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) true)) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aReductOfIn0 W2 W0 W1) (tptp.aElement0 W2))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (=> (tptp.sdtmndtplgtdt0 W0 W1 W2) true))) _let_22 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtplgtdt0 W0 W1 W2) (tptp.sdtmndtplgtdt0 W2 W1 W3)) (tptp.sdtmndtplgtdt0 W0 W1 W3)))) _let_21 _let_20 (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) (= (tptp.isConfluent0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3) (tptp.sdtmndtasgtdt0 W1 W0 W2) (tptp.sdtmndtasgtdt0 W1 W0 W3)) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.sdtmndtasgtdt0 W2 W0 W4) (tptp.sdtmndtasgtdt0 W3 W0 W4)))))))) (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) (= (tptp.isLocallyConfluent0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3) (tptp.aReductOfIn0 W2 W1 W0) (tptp.aReductOfIn0 W3 W1 W0)) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.sdtmndtasgtdt0 W2 W0 W4) (tptp.sdtmndtasgtdt0 W3 W0 W4)))))))) _let_19 _let_18 (forall ((W0 $$unsorted)) (=> (and (tptp.aRewritingSystem0 W0) (tptp.isTerminating0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (exists ((W2 $$unsorted)) (tptp.aNormalFormOfIn0 W2 W1 W0)))))) _let_17 _let_16 _let_14 _let_11 (and (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc)) _let_10 (and (tptp.aElement0 tptp.xv) (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc)) _let_6 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.47/22.73 )
% 22.47/22.73 % SZS output end Proof for COM019+1
% 22.47/22.74 % cvc5---1.0.5 exiting
% 22.47/22.74 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------