TSTP Solution File: COM022+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM022+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 18:37:01 EDT 2023
% Result : Theorem 0.50s 0.68s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM022+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 13:51:11 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.50/0.68 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.TGgLWlCaXD/cvc5---1.0.5_28781.p...
% 0.50/0.68 ------- get file name : TPTP file name is COM022+1
% 0.50/0.68 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28781.smt2...
% 0.50/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.50/0.68 % SZS status Theorem for COM022+1
% 0.50/0.68 % SZS output start Proof for COM022+1
% 0.50/0.68 (
% 0.50/0.68 (let ((_let_1 (tptp.sdtmndtasgtdt0 tptp.xa tptp.xR tptp.xc))) (let ((_let_2 (tptp.sdtmndtasgtdt0 tptp.xa tptp.xR tptp.xb))) (let ((_let_3 (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc))) (let ((_let_4 (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb))) (let ((_let_5 (and _let_4 _let_3))) (let ((_let_6 (not (=> (=> _let_5 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xa tptp.xR) (tptp.sdtmndtasgtdt0 W0 tptp.xR tptp.xb) (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (tptp.aReductOfIn0 W1 tptp.xa tptp.xR) (tptp.sdtmndtasgtdt0 W1 tptp.xR tptp.xc) (exists ((W2 $$unsorted)) (and (tptp.aElement0 W2) (tptp.sdtmndtasgtdt0 W0 tptp.xR W2) (tptp.sdtmndtasgtdt0 W1 tptp.xR W2) (exists ((W3 $$unsorted)) (and (tptp.aNormalFormOfIn0 W3 W2 tptp.xR) (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR W3) (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR W3)))))))))) (=> (and _let_2 _let_1) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR W0) (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR W0)))))))) (let ((_let_7 (tptp.aElement0 tptp.xc))) (let ((_let_8 (tptp.aElement0 tptp.xb))) (let ((_let_9 (tptp.aElement0 tptp.xa))) (let ((_let_10 (and _let_9 _let_8 _let_7))) (let ((_let_11 (tptp.aRewritingSystem0 tptp.xR))) (let ((_let_12 (forall ((W0 $$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 $$unsorted)) (tptp.aReductOfIn0 W3 W2 W1)))))))))) (let ((_let_13 (forall ((W0 $$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_14 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (and _let_14 (tptp.sdtmndtasgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (forall ((W3 $$unsorted)) (not (tptp.aReductOfIn0 W3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xR)))))) (let ((_let_16 (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not _let_14))) (let ((_let_21 (or _let_20 _let_19 _let_17))) (let ((_let_22 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR W0)) (not (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR W0)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (NOT_IMPLIES_ELIM2 _let_23))) (let ((_let_25 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_24)))) (let ((_let_26 (_let_22))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.aNormalFormOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.xR))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or (not (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xa tptp.xR)) (not (tptp.sdtmndtasgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR tptp.xb)) (not (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xa tptp.xR)) (not (tptp.sdtmndtasgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xR tptp.xc)) _let_31 (not (tptp.sdtmndtasgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.sdtmndtasgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_29 _let_19 _let_17))) (let ((_let_33 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1211 $$unsorted) (BOUND_VARIABLE_1209 $$unsorted) (BOUND_VARIABLE_1207 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aReductOfIn0 W0 tptp.xa tptp.xR)) (not (tptp.sdtmndtasgtdt0 W0 tptp.xR tptp.xb)) (not (tptp.aElement0 BOUND_VARIABLE_1207)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1207 tptp.xa tptp.xR)) (not (tptp.sdtmndtasgtdt0 BOUND_VARIABLE_1207 tptp.xR tptp.xc)) (not (tptp.aElement0 BOUND_VARIABLE_1211)) (not (tptp.sdtmndtasgtdt0 W0 tptp.xR BOUND_VARIABLE_1211)) (not (tptp.sdtmndtasgtdt0 BOUND_VARIABLE_1207 tptp.xR BOUND_VARIABLE_1211)) (not (tptp.aNormalFormOfIn0 BOUND_VARIABLE_1209 BOUND_VARIABLE_1211 tptp.xR)) (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR BOUND_VARIABLE_1209)) (not (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR BOUND_VARIABLE_1209)))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (not _let_33))) (let ((_let_36 (= tptp.xa tptp.xc))) (let ((_let_37 (or _let_36 _let_3))) (let ((_let_38 (= _let_1 _let_37))) (let ((_let_39 (not _let_7))) (let ((_let_40 (not _let_11))) (let ((_let_41 (not _let_9))) (let ((_let_42 (or _let_41 _let_40 _let_39 _let_38))) (let ((_let_43 (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_44 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((tptp.sdtmndtasgtdt0 W0 W1 W2)))) (let ((_let_47 (ASSUME :args (_let_10)))) (let ((_let_48 (AND_ELIM _let_47 :args (2)))) (let ((_let_49 (0))) (let ((_let_50 (AND_ELIM _let_47 :args _let_49))) (let ((_let_51 (ASSUME :args (_let_11)))) (let ((_let_52 (1))) (let ((_let_53 (NOT_IMPLIES_ELIM1 _let_24))) (let ((_let_54 (AND_ELIM _let_53 :args _let_52))) (let ((_let_55 (not _let_1))) (let ((_let_56 (tptp.sdtmndtplgtdt0 tptp.xc tptp.xR tptp.xb))) (let ((_let_57 (not _let_36))) (let ((_let_58 (or (= tptp.xb tptp.xc) _let_56))) (let ((_let_59 (not _let_56))) (let ((_let_60 (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR tptp.xb))) (let ((_let_61 (= _let_60 _let_58))) (let ((_let_62 (not _let_58))) (let ((_let_63 (not _let_8))) (let ((_let_64 (or _let_39 _let_40 _let_63 _let_61))) (let ((_let_65 (AND_ELIM _let_47 :args _let_52))) (let ((_let_66 (not _let_60))) (let ((_let_67 (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xb))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_63 _let_68 _let_66))) (let ((_let_70 ((not (= (tptp.aElement0 W0) false))))) (let ((_let_71 (or _let_63 _let_40 _let_63 _let_67))) (let ((_let_72 (= tptp.xa tptp.xb))) (let ((_let_73 (or _let_72 _let_4))) (let ((_let_74 (= _let_2 _let_73))) (let ((_let_75 (or _let_41 _let_40 _let_63 _let_74))) (let ((_let_76 (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xc))) (let ((_let_77 (not _let_72))) (let ((_let_78 (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR tptp.xc))) (let ((_let_79 (not _let_78))) (let ((_let_80 (not _let_76))) (let ((_let_81 (or _let_39 _let_80 _let_79))) (let ((_let_82 (or _let_39 _let_40 _let_39 _let_78))) (let ((_let_83 (or))) (let ((_let_84 (ASSUME :args (_let_80)))) (let ((_let_85 (REFL :args (tptp.xR)))) (let ((_let_86 (ASSUME :args (_let_72)))) (let ((_let_87 (ASSUME :args (_let_1)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_4 _let_72 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_84 _let_86 _let_87) :args (_let_1 _let_72 _let_80)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_87)) (CONG (SYMM (SYMM _let_86)) _let_85 (REFL :args (tptp.xc)) :args (APPLY_UF tptp.sdtmndtasgtdt0)) (FALSE_INTRO _let_84))) :args (_let_80 _let_72 _let_1)) :args ((not (and _let_1 _let_72 _let_80)) SB_LITERAL))) (CONG (REFL :args (_let_55)) (REFL :args (_let_77)) (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_76))) :args _let_83)) :args ((or _let_55 _let_76 _let_77))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_39 _let_79 _let_80 (not _let_81)))) _let_48 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_82))) :args ((or _let_40 _let_39 _let_78 (not _let_82)))) _let_51 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.xc tptp.xR tptp.xc QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_82 false _let_43)) :args (_let_78 false _let_11 false _let_7 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.xc QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_26)) _let_25 :args (_let_81 false _let_22)) :args (_let_80 false _let_7 false _let_78 false _let_81)) _let_54 :args (_let_77 true _let_76 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_74)) :args ((or (not _let_2) _let_73 (not _let_74)))) (AND_ELIM _let_53 :args _let_49) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_40 _let_41 _let_63 _let_74 (not _let_75)))) _let_51 _let_50 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.xa tptp.xR tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_75 false _let_43)) :args (_let_74 false _let_11 false _let_9 false _let_8 false _let_75)) :args (_let_73 false _let_2 false _let_74)) :args (_let_4 true _let_72 false _let_73)))) (let ((_let_89 (_let_35))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_33))) (REFL :args (_let_34)) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (NOT_IMPLIES_ELIM1 _let_23)) :args ((or _let_35 (not _let_5)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_5)) _let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_3 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_59)))) (CONG (SYMM (ASSUME :args (_let_36))) _let_85 (REFL :args (tptp.xb)) :args (APPLY_UF tptp.sdtmndtplgtdt0)) (TRUE_INTRO (ASSUME :args (_let_4))))) :args (_let_4 _let_36 _let_59))) (CONG (REFL :args ((not _let_4))) (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_56))) :args _let_83)) _let_88 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_61)) :args ((or _let_60 _let_62 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_63 _let_68 _let_66 (not _let_69)))) _let_65 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_71))) :args ((or _let_40 _let_63 _let_67 (not _let_71)))) _let_51 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.xb tptp.xR tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_71 false _let_43)) :args (_let_67 false _let_11 false _let_8 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_26)) _let_25 :args (_let_69 false _let_22)) :args (_let_66 false _let_8 false _let_67 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_40 _let_63 _let_39 _let_61 (not _let_64)))) _let_51 _let_65 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.xc tptp.xR tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_64 false _let_43)) :args (_let_61 false _let_11 false _let_8 false _let_7 false _let_64)) :args (_let_62 true _let_60 false _let_61)) :args (_let_59 true _let_58)) :args (_let_57 false _let_4 true _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or _let_55 _let_37 (not _let_38)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_40 _let_41 _let_39 _let_38 (not _let_42)))) _let_51 _let_50 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.xa tptp.xR tptp.xc QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_42 false _let_43)) :args (_let_38 false _let_11 false _let_9 false _let_7 false _let_42)) :args (_let_37 false _let_1 false _let_38)) :args (_let_3 true _let_36 false _let_37)) :args (_let_5 false _let_4 false _let_3)) :args (_let_35 false _let_5)) :args (_let_34 true _let_33)))) (let ((_let_91 (REFL :args (_let_32)))) (let ((_let_92 (= _let_28 _let_15))) (let ((_let_93 (or _let_31 _let_40 _let_92))) (let ((_let_94 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1061 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (= (tptp.aNormalFormOfIn0 BOUND_VARIABLE_1061 W0 W1) (and (tptp.aElement0 BOUND_VARIABLE_1061) (tptp.sdtmndtasgtdt0 W0 W1 BOUND_VARIABLE_1061) (forall ((W3 $$unsorted)) (not (tptp.aReductOfIn0 W3 BOUND_VARIABLE_1061 W1))))))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 0)) :args ((or _let_14 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_92)) :args ((or _let_29 _let_15 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 9)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_83)) :args ((or _let_28 _let_32))) _let_90 :args (_let_28 true _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_40 _let_31 _let_92 (not _let_93)))) _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 6)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_83)) :args ((or _let_30 _let_32))) _let_90 :args (_let_30 true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aNormalFormOfIn0 BOUND_VARIABLE_1061 W0 W1)))) :args (_let_94))) _let_95 :args (_let_93 false _let_94)) :args (_let_92 false _let_11 false _let_30 false _let_93)) :args (_let_15 false _let_28 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_19 _let_17 _let_20 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 10)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_83)) :args ((or _let_18 _let_32))) _let_90 :args (_let_18 true _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 11)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_83)) :args ((or _let_16 _let_32))) _let_90 :args (_let_16 true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR W0) false))))) :args _let_26)) _let_25 :args (_let_21 false _let_22)) :args (_let_20 false _let_18 false _let_16 false _let_21)) :args (false false _let_15 true _let_14)) :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 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (=> (tptp.sdtmndtplgtdt0 W0 W1 W2) true))) (forall ((W0 $$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 $$unsorted)) (and (tptp.aElement0 W3) (tptp.aReductOfIn0 W3 W0 W1) (tptp.sdtmndtplgtdt0 W3 W1 W2))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtplgtdt0 W0 W1 W2) (tptp.sdtmndtplgtdt0 W2 W1 W3)) (tptp.sdtmndtplgtdt0 W0 W1 W3)))) _let_13 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtasgtdt0 W0 W1 W2) (tptp.sdtmndtasgtdt0 W2 W1 W3)) (tptp.sdtmndtasgtdt0 W0 W1 W3)))) (forall ((W0 $$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 $$unsorted)) (and (tptp.aElement0 W4) (tptp.sdtmndtasgtdt0 W2 W0 W4) (tptp.sdtmndtasgtdt0 W3 W0 W4)))))))) (forall ((W0 $$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_12 (forall ((W0 $$unsorted)) (=> (and (tptp.aRewritingSystem0 W0) (tptp.isTerminating0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (exists ((W2 $$unsorted)) (tptp.aNormalFormOfIn0 W2 W1 W0)))))) _let_11 (and (tptp.isLocallyConfluent0 tptp.xR) (tptp.isTerminating0 tptp.xR)) _let_10 (forall ((W0 $$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_6 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.50/0.69 )
% 0.50/0.69 % SZS output end Proof for COM022+1
% 0.50/0.69 % cvc5---1.0.5 exiting
% 0.50/0.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------