%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM013+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 18:36:57 EDT 2023

% Result   : Theorem 11.06s 11.32s
% Output   : Proof 11.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COM013+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n012.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 12:43:09 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 11.06/11.32  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.feafp07LBS/cvc5---1.0.5_15654.p...
% 11.06/11.32  ------- get file name : TPTP file name is COM013+1
% 11.06/11.32  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15654.smt2...
% 11.06/11.32  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.06/11.32  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.06/11.32  % SZS status Theorem for COM013+1
% 11.06/11.32  % SZS output start Proof for COM013+1
% 11.06/11.32  (
% 11.06/11.32  (let ((_let_1 (not (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (=> (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (=> (tptp.iLess0 W1 W0) (exists ((W2 $$unsorted)) (tptp.aNormalFormOfIn0 W2 W1 tptp.xR))))) (exists ((W1 $$unsorted)) (tptp.aNormalFormOfIn0 W1 W0 tptp.xR)))))))) (let ((_let_2 (tptp.isTerminating0 tptp.xR))) (let ((_let_3 (tptp.aRewritingSystem0 tptp.xR))) (let ((_let_4 (and _let_3 _let_2))) (let ((_let_5 (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_6 (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) (= (tptp.isTerminating0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W1) (tptp.aElement0 W2)) (=> (tptp.sdtmndtplgtdt0 W1 W0 W2) (tptp.iLess0 W2 W1))))))))) (let ((_let_7 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtasgtdt0 W0 W1 W2) (tptp.sdtmndtasgtdt0 W2 W1 W3)) (tptp.sdtmndtasgtdt0 W0 W1 W3)))))) (let ((_let_8 (forall ((W0 $$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_9 (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_10 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aReductOfIn0 W2 W0 W1) (tptp.aElement0 W2))))))) (let ((_let_11 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (forall ((W3 $$unsorted)) (not (tptp.aReductOfIn0 W3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 tptp.xR))))) (let ((_let_13 (tptp.sdtmndtasgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_14 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_15 (and _let_14 _let_13 _let_12))) (let ((_let_16 (tptp.aNormalFormOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (not _let_3))) (let ((_let_19 (not _let_11))) (let ((_let_20 (or _let_19 _let_18 _let_17))) (let ((_let_21 (ASSUME :args (_let_4)))) (let ((_let_22 (AND_ELIM _let_21 :args (0)))) (let ((_let_23 (forall ((W1 $$unsorted)) (not (tptp.aNormalFormOfIn0 W1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((W1 $$unsorted)) (or (not (tptp.aElement0 W1)) (not (tptp.iLess0 W1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (forall ((W2 $$unsorted)) (not (tptp.aNormalFormOfIn0 W2 W1 tptp.xR)))))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_19 _let_26 _let_24))) (let ((_let_28 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElement0 W1)) (not (tptp.iLess0 W1 W0)) (not (forall ((W2 $$unsorted)) (not (tptp.aNormalFormOfIn0 W2 W1 tptp.xR))))))) (not (forall ((W1 $$unsorted)) (not (tptp.aNormalFormOfIn0 W1 W0 tptp.xR)))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_31)) _let_30 :args (_let_29 true _let_28)))) (let ((_let_34 (REFL :args (_let_27)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_11))) :args _let_31)) :args ((or _let_11 _let_27))) _let_33 :args (_let_11 true _let_27)))) (let ((_let_36 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_993 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (= (tptp.aNormalFormOfIn0 BOUND_VARIABLE_993 W0 W1) (and (tptp.aElement0 BOUND_VARIABLE_993) (tptp.sdtmndtasgtdt0 W0 W1 BOUND_VARIABLE_993) (forall ((W3 $$unsorted)) (not (tptp.aReductOfIn0 W3 BOUND_VARIABLE_993 W1))))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 (not _let_17))) (let ((_let_40 (tptp.sdtmndtasgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.sdtmndtasgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_43 (not _let_42))) (let ((_let_44 (not _let_14))) (let ((_let_45 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_19 _let_18 _let_46 _let_44 _let_43 _let_41 _let_13))) (let ((_let_48 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aElement0 W2)) (not (tptp.aElement0 W3)) (not (tptp.sdtmndtasgtdt0 W0 W1 W2)) (not (tptp.sdtmndtasgtdt0 W2 W1 W3)) (tptp.sdtmndtasgtdt0 W0 W1 W3))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (and _let_14 _let_40 _let_12))) (let ((_let_51 (tptp.aNormalFormOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 tptp.xR))) (let ((_let_52 (= _let_51 _let_50))) (let ((_let_53 (or _let_46 _let_18 _let_52))) (let ((_let_54 (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_19 _let_18 _let_55 _let_45))) (let ((_let_57 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_834 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_834 W0 W1)) (tptp.aElement0 BOUND_VARIABLE_834))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (forall ((W3 $$unsorted)) (not (tptp.aReductOfIn0 W3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR))))) (let ((_let_60 (tptp.sdtmndtasgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_61 (and _let_11 _let_60 _let_59))) (let ((_let_62 (not _let_59))) (let ((_let_63 (tptp.aNormalFormOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR))) (let ((_let_64 (= _let_63 _let_61))) (let ((_let_65 (not _let_61))) (let ((_let_66 (or _let_19 _let_18 _let_64))) (let ((_let_67 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_31)) :args ((or _let_23 _let_27))) _let_33 :args (_let_23 true _let_27)))) (let ((_let_69 (_let_23))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (or _let_19 _let_18 _let_19 _let_60))) (let ((_let_72 (forall ((W0 $$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_73 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 (_let_62))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75) (REWRITE :args ((=> _let_62 (not _let_55)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_59))) (REFL :args (_let_54)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_61)) :args ((or _let_19 (not _let_60) _let_61 _let_62))) _let_35 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_71))) :args ((or _let_18 _let_19 _let_60 (not _let_71)))) _let_22 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args _let_67) :args _let_74))) _let_73 :args (_let_71 false _let_72)) :args (_let_60 false _let_3 false _let_11 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_64)) :args ((or _let_63 _let_65 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_69)) _let_68 :args ((not _let_63) false _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_18 _let_19 _let_64 (not _let_66)))) _let_22 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_67) :args _let_38)) _let_37 :args (_let_66 false _let_36)) :args (_let_64 false _let_3 false _let_11 false _let_66)) :args (_let_65 true _let_63 false _let_64)) :args (_let_62 false _let_11 false _let_60 true _let_61)) :args (_let_54 true _let_59)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_18 _let_19 _let_55 _let_45 (not _let_56)))) _let_22 _let_35 _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_57))) _let_58 :args (_let_56 false _let_57)) :args (_let_45 false _let_3 false _let_11 false _let_54 false _let_56)))) (let ((_let_78 (forall ((W2 $$unsorted)) (not (tptp.aNormalFormOfIn0 W2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 tptp.xR))))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.iLess0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_46 _let_81 _let_79))) (let ((_let_83 (_let_25))) (let ((_let_84 (tptp.sdtmndtplgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_19 _let_46 _let_85 _let_80))) (let ((_let_87 (forall ((W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (not (tptp.sdtmndtplgtdt0 W1 tptp.xR W2)) (tptp.iLess0 W2 W1))))) (let ((_let_88 (= _let_2 _let_87))) (let ((_let_89 (or _let_18 _let_88))) (let ((_let_90 (forall ((W0 $$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_91 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_87))) (let ((_let_93 (or _let_54 (not (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.aReductOfIn0 W3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR)) (not (tptp.sdtmndtplgtdt0 W3 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))))))) (let ((_let_94 (= _let_84 _let_93))) (let ((_let_95 (or _let_19 _let_18 _let_46 _let_94))) (let ((_let_96 (forall ((W0 $$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_97 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_ENUM))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_94)) :args ((or _let_84 (not _let_93) (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_93 0)) :args ((or _let_55 _let_93))) _let_76 :args (_let_93 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_18 _let_19 _let_46 _let_94 (not _let_95)))) _let_22 _let_35 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_98) :args (_let_96))) _let_97 :args (_let_95 false _let_96)) :args (_let_94 false _let_3 false _let_11 false _let_45 false _let_95)) :args (_let_84 false _let_93 false _let_94)))) (let ((_let_100 (not _let_51))) (let ((_let_101 (_let_79))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_52)) :args ((or _let_100 _let_50 (not _let_52)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_101)) :args _let_101) (REWRITE :args ((=> _let_79 (not _let_100)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) (REFL :args (_let_51)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_46 _let_81 _let_79 (not _let_82)))) _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_19 _let_46 _let_85 _let_80 (not _let_86)))) _let_35 _let_77 _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_92) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_ENUM)) :args _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_88)) :args ((or (not _let_2) _let_87 (not _let_88)))) (AND_ELIM _let_21 :args (1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_18 _let_88 (not _let_89)))) _let_22 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.xR QUANTIFIERS_INST_CBQI_PROP)) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_88 false _let_3 false _let_89)) :args (_let_87 false _let_2 false _let_88)) :args (_let_86 false _let_87)) :args (_let_80 false _let_11 false _let_45 false _let_84 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_83) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_ENUM)) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_31)) :args ((or _let_25 _let_27))) _let_33 :args (_let_25 true _let_27)) :args (_let_82 false _let_25)) :args (_let_79 false _let_45 false _let_80 false _let_82)) :args (_let_51 true _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_18 _let_46 _let_52 (not _let_53)))) _let_22 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_38)) _let_37 :args (_let_53 false _let_36)) :args (_let_52 false _let_3 false _let_45 false _let_53)) :args (_let_50 false _let_51 false _let_52)))) (let ((_let_103 (not _let_50))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_50 0)) :args ((or _let_14 _let_103))) _let_102 :args (_let_14 false _let_50)))) (let ((_let_105 (or (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18) _let_84))) (let ((_let_106 (= _let_42 _let_105))) (let ((_let_107 (or _let_19 _let_18 _let_46 _let_106))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_18 _let_19 _let_17 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_17)) :args ((or _let_16 (not _let_15) _let_39))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_ENUM)) :args _let_69)) _let_68 :args ((not _let_16) false _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_15)) :args ((or _let_44 (not _let_12) (not _let_13) _let_15))) _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_50 2)) :args ((or _let_12 _let_103))) _let_102 :args (_let_12 false _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_18 _let_19 _let_46 _let_43 _let_44 _let_41 _let_13 (not _let_47)))) _let_22 _let_35 _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_106)) :args ((or _let_42 (not _let_105) (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_105 1)) :args ((or _let_85 _let_105))) _let_99 :args (_let_105 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_18 _let_19 _let_46 _let_106 (not _let_107)))) _let_22 _let_35 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args _let_98) :args _let_74)) _let_73 :args (_let_107 false _let_72)) :args (_let_106 false _let_3 false _let_11 false _let_45 false _let_107)) :args (_let_42 false _let_105 false _let_106)) _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_50 1)) :args ((or _let_40 _let_103))) _let_102 :args (_let_40 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_13 false _let_3 false _let_11 false _let_45 false _let_42 false _let_14 false _let_40 false _let_47)) :args (_let_15 false _let_14 false _let_12 false _let_13)) :args (_let_39 true _let_16 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_37 :args (_let_20 false _let_36)) _let_35 _let_22 :args (false true _let_17 false _let_20 false _let_11 false _let_3)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) true)) _let_10 (forall ((W0 $$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_9 (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_8 _let_7 (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_6 _let_5 _let_4 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.06/11.33  )
% 11.06/11.33  % SZS output end Proof for COM013+1
% 11.06/11.33  % cvc5---1.0.5 exiting
% 11.06/11.33  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------