TSTP Solution File: COM017+4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM017+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 10.48s 10.97s
% Output : Proof 10.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM017+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.11/0.34 % Computer : n011.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Aug 29 13:18:26 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.17/0.47 %----Proving TF0_NAR, FOF, or CNF
% 10.48/10.97 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.PJ1Zch7zzE/cvc5---1.0.5_31137.p...
% 10.48/10.97 ------- get file name : TPTP file name is COM017+4
% 10.48/10.97 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31137.smt2...
% 10.48/10.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.48/10.97 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.48/10.97 % SZS status Theorem for COM017+4
% 10.48/10.97 % SZS output start Proof for COM017+4
% 10.48/10.97 (
% 10.48/10.97 (let ((_let_1 (not (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (or (= tptp.xu W0) (tptp.aReductOfIn0 W0 tptp.xu tptp.xR) (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (tptp.aReductOfIn0 W1 tptp.xu tptp.xR) (tptp.sdtmndtplgtdt0 W1 tptp.xR W0))) (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR W0) (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR W0)) (or (= tptp.xv W0) (tptp.aReductOfIn0 W0 tptp.xv tptp.xR) (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (tptp.aReductOfIn0 W1 tptp.xv tptp.xR) (tptp.sdtmndtplgtdt0 W1 tptp.xR W0))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR W0) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR W0))))))) (let ((_let_2 (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR))) (let ((_let_3 (tptp.aElement0 tptp.xv))) (let ((_let_4 (and _let_3 _let_2 (or (= tptp.xv tptp.xc) (and (or (tptp.aReductOfIn0 tptp.xc tptp.xv tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xv tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xc)))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xc))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc)))) (let ((_let_5 (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR))) (let ((_let_6 (tptp.aElement0 tptp.xu))) (let ((_let_7 (and _let_6 _let_5 (or (= tptp.xu tptp.xb) (and (or (tptp.aReductOfIn0 tptp.xb tptp.xu tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xu tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xb)))) (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xb))) (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb)))) (let ((_let_8 (tptp.aElement0 tptp.xa))) (let ((_let_9 (and _let_8 (tptp.aElement0 tptp.xb) (tptp.aElement0 tptp.xc)))) (let ((_let_10 (and (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2) (tptp.aReductOfIn0 W1 W0 tptp.xR) (tptp.aReductOfIn0 W2 W0 tptp.xR)) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (or (= W1 W3) (and (or (tptp.aReductOfIn0 W3 W1 tptp.xR) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.aReductOfIn0 W4 W1 tptp.xR) (tptp.sdtmndtplgtdt0 W4 tptp.xR W3)))) (tptp.sdtmndtplgtdt0 W1 tptp.xR W3))) (tptp.sdtmndtasgtdt0 W1 tptp.xR W3) (or (= W2 W3) (and (or (tptp.aReductOfIn0 W3 W2 tptp.xR) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.aReductOfIn0 W4 W2 tptp.xR) (tptp.sdtmndtplgtdt0 W4 tptp.xR W3)))) (tptp.sdtmndtplgtdt0 W2 tptp.xR W3))) (tptp.sdtmndtasgtdt0 W2 tptp.xR W3))))) (tptp.isLocallyConfluent0 tptp.xR) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (or (tptp.aReductOfIn0 W1 W0 tptp.xR) (exists ((W2 $$unsorted)) (and (tptp.aElement0 W2) (tptp.aReductOfIn0 W2 W0 tptp.xR) (tptp.sdtmndtplgtdt0 W2 tptp.xR W1))) (tptp.sdtmndtplgtdt0 W0 tptp.xR W1)) (tptp.iLess0 W1 W0)))) (tptp.isTerminating0 tptp.xR)))) (let ((_let_11 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_12 (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_15 (not _let_14))) (let ((_let_16 (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)))) (let ((_let_17 (not (tptp.aReductOfIn0 tptp.xR tptp.xv tptp.xR)))) (let ((_let_18 (not (tptp.aElement0 tptp.xR)))) (let ((_let_19 (not (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.xv tptp.xR)))) (let ((_let_20 (= tptp.xv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_21 (not _let_20))) (let ((_let_22 (and _let_21 _let_19 (or _let_18 _let_17 _let_16) _let_15 _let_13))) (let ((_let_23 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not (tptp.aReductOfIn0 tptp.xR tptp.xu tptp.xR)))) (let ((_let_28 (not (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.xu tptp.xR)))) (let ((_let_29 (= tptp.xu SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_30 (not _let_29))) (let ((_let_31 (and _let_30 _let_28 (or _let_18 _let_27 _let_16) _let_26 _let_24))) (let ((_let_32 (not _let_11))) (let ((_let_33 (or _let_32 _let_31 _let_22))) (let ((_let_34 (or (and _let_19 (or (not (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50)) (not (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 tptp.xv tptp.xR)) (not (tptp.sdtmndtplgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)))) _let_15))) (let ((_let_35 (and _let_21 _let_34))) (let ((_let_36 (or (and _let_28 (or (not (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51)) (not (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 tptp.xu tptp.xR)) (not (tptp.sdtmndtplgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 tptp.xR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)))) _let_26))) (let ((_let_37 (and _let_30 _let_36))) (let ((_let_38 (or _let_32 _let_37 _let_24 _let_35 _let_13))) (let ((_let_39 (forall ((W3 $$unsorted) (BOUND_VARIABLE_1325 $$unsorted) (BOUND_VARIABLE_1313 $$unsorted)) (or (not (tptp.aElement0 W3)) (and (not (= W3 tptp.xu)) (or (and (not (tptp.aReductOfIn0 W3 tptp.xu tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1313)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1313 tptp.xu tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1313 tptp.xR W3)))) (not (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR W3)))) (not (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR W3)) (and (not (= W3 tptp.xv)) (or (and (not (tptp.aReductOfIn0 W3 tptp.xv tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1325)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1325 tptp.xv tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1325 tptp.xR W3)))) (not (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR W3)))) (not (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR W3)))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (not _let_39))) (let ((_let_42 (not _let_2))) (let ((_let_43 (not _let_5))) (let ((_let_44 (not _let_3))) (let ((_let_45 (not _let_6))) (let ((_let_46 (not _let_8))) (let ((_let_47 (or _let_46 _let_45 _let_44 _let_43 _let_42 _let_41))) (let ((_let_48 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (not (tptp.aReductOfIn0 W1 W0 tptp.xR)) (not (tptp.aReductOfIn0 W2 W0 tptp.xR)) (not (forall ((W3 $$unsorted) (BOUND_VARIABLE_1325 $$unsorted) (BOUND_VARIABLE_1313 $$unsorted)) (or (not (tptp.aElement0 W3)) (and (not (= W1 W3)) (or (and (not (tptp.aReductOfIn0 W3 W1 tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1313)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1313 W1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1313 tptp.xR W3)))) (not (tptp.sdtmndtplgtdt0 W1 tptp.xR W3)))) (not (tptp.sdtmndtasgtdt0 W1 tptp.xR W3)) (and (not (= W2 W3)) (or (and (not (tptp.aReductOfIn0 W3 W2 tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1325)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1325 W2 tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1325 tptp.xR W3)))) (not (tptp.sdtmndtplgtdt0 W2 tptp.xR W3)))) (not (tptp.sdtmndtasgtdt0 W2 tptp.xR W3))))))))) (let ((_let_49 (0))) (let ((_let_50 (_let_48))) (let ((_let_51 (1))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (AND_ELIM _let_52 :args _let_49))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (AND_ELIM _let_54 :args _let_49))) (let ((_let_56 (or))) (let ((_let_57 (_let_41))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57) (REWRITE :args ((=> _let_41 (not (or _let_32 (and (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.xu)) _let_36) _let_24 (and (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.xv)) _let_34) _let_13))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_39))) (REFL :args (_let_40)) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_45 _let_43 _let_44 _let_42 _let_41 (not _let_47)))) (AND_ELIM (ASSUME :args (_let_9)) :args _let_49) _let_55 (AND_ELIM _let_54 :args _let_51) _let_53 (AND_ELIM _let_52 :args _let_51) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (tptp.xa tptp.xu tptp.xv QUANTIFIERS_INST_ENUM)) :args _let_50))) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args _let_49) :args (_let_47 false _let_48)) :args (_let_41 false _let_8 false _let_6 false _let_5 false _let_3 false _let_2 false _let_47)) :args (_let_40 true _let_39)))) (let ((_let_59 (REFL :args (_let_38)))) (let ((_let_60 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1642 $$unsorted) (BOUND_VARIABLE_1632 $$unsorted)) (or (not (tptp.aElement0 W0)) (and (not (= tptp.xu W0)) (not (tptp.aReductOfIn0 W0 tptp.xu tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1632)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1632 tptp.xu tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1632 tptp.xR W0))) (not (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR W0)) (not (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR W0))) (and (not (= tptp.xv W0)) (not (tptp.aReductOfIn0 W0 tptp.xv tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1642)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1642 tptp.xv tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1642 tptp.xR W0))) (not (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR W0)) (not (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR W0))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 (not _let_31))) (let ((_let_64 (not _let_36))) (let ((_let_65 (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xu))) (let ((_let_66 (not _let_65))) (let ((_let_67 (not (= tptp.xu tptp.xv)))) (let ((_let_68 (and _let_67 (not (tptp.aReductOfIn0 tptp.xu tptp.xv tptp.xR)) (or _let_18 _let_17 (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR tptp.xu))) (not (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xu)) _let_66))) (let ((_let_69 (or _let_45 _let_68))) (let ((_let_70 (ASSUME :args (_let_66)))) (let ((_let_71 (APPLY_UF tptp.sdtmndtasgtdt0))) (let ((_let_72 (ASSUME :args (_let_29)))) (let ((_let_73 (REFL :args (tptp.xR)))) (let ((_let_74 (ASSUME :args (_let_12)))) (let ((_let_75 (_let_37))) (let ((_let_76 (not _let_22))) (let ((_let_77 (not _let_34))) (let ((_let_78 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xv))) (let ((_let_79 (not _let_78))) (let ((_let_80 (and _let_67 (not (tptp.aReductOfIn0 tptp.xv tptp.xu tptp.xR)) (or _let_18 _let_27 (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR tptp.xv))) (not (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xv)) _let_79))) (let ((_let_81 (or _let_44 _let_80))) (let ((_let_82 (ASSUME :args (_let_79)))) (let ((_let_83 (ASSUME :args (_let_20)))) (let ((_let_84 (ASSUME :args (_let_23)))) (let ((_let_85 (_let_35))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_31 _let_22 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 3)) :args ((or _let_15 _let_76))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 1)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_56)) :args ((or _let_14 _let_34))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_85) (CONG (REFL :args _let_85) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) (REFL :args (_let_77)) :args _let_56)) :args ((or _let_20 _let_35 _let_77))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_82 _let_83 _let_84) :args (_let_79 _let_23 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_84)) (CONG (REFL :args (tptp.xu)) _let_73 (SYMM _let_83) :args _let_71) (FALSE_INTRO _let_82))) :args (_let_79 _let_20 _let_23)) :args ((not (and _let_79 _let_23 _let_20)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) (REFL :args (_let_24)) (REFL :args (_let_21)) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_80 4)) :args ((or _let_79 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_44 _let_80 (not _let_81)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.xv tptp.xR tptp.xR QUANTIFIERS_INST_ENUM)) :args _let_62))) _let_61 :args (_let_81 false _let_60)) :args (_let_80 false _let_3 false _let_81)) :args (_let_79 false _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 2)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_56)) :args ((or _let_23 _let_38))) _let_58 :args (_let_23 true _let_38)) :args (_let_21 true _let_78 false _let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 3)) _let_58 :args ((not _let_35) true _let_38)) :args (_let_77 true _let_20 true _let_35)) :args (_let_14 true _let_34)) :args (_let_76 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 3)) :args ((or _let_26 _let_63))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG (REFL :args (_let_36)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_56)) :args ((or _let_25 _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_75) (CONG (REFL :args _let_75) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) (REFL :args (_let_64)) :args _let_56)) :args ((or _let_29 _let_37 _let_64))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_70 _let_72 _let_74) :args (_let_66 _let_12 _let_29)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_74)) (CONG (REFL :args (tptp.xv)) _let_73 (SYMM _let_72) :args _let_71) (FALSE_INTRO _let_70))) :args (_let_66 _let_29 _let_12)) :args ((not (and _let_66 _let_12 _let_29)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) (REFL :args (_let_13)) (REFL :args (_let_30)) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_68 4)) :args ((or _let_66 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_45 _let_68 (not _let_69)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.xu tptp.xR tptp.xR QUANTIFIERS_INST_ENUM)) :args _let_62))) _let_61 :args (_let_69 false _let_60)) :args (_let_68 false _let_6 false _let_69)) :args (_let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 4)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_56)) :args ((or _let_12 _let_38))) _let_58 :args (_let_12 true _let_38)) :args (_let_30 true _let_65 false _let_12)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 1)) _let_58 :args ((not _let_37) true _let_38)) :args (_let_64 true _let_29 true _let_37)) :args (_let_25 true _let_36)) :args (_let_63 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.xR tptp.xR QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_62)) _let_61 :args (_let_33 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 0)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_11))) :args _let_56)) :args ((or _let_11 _let_38))) _let_58 :args (_let_11 true _let_38)) :args (false true _let_22 true _let_31 false _let_33 false _let_11)) :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)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (= (tptp.sdtmndtasgtdt0 W0 W1 W2) (or (= W0 W2) (tptp.sdtmndtplgtdt0 W0 W1 W2))))) (forall ((W0 $$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))))))) (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)))))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aRewritingSystem0 W0) (tptp.isTerminating0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (exists ((W2 $$unsorted)) (tptp.aNormalFormOfIn0 W2 W1 W0)))))) (tptp.aRewritingSystem0 tptp.xR) _let_10 _let_9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2) (or (= W0 W1) (tptp.aReductOfIn0 W1 W0 tptp.xR) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (tptp.aReductOfIn0 W3 W0 tptp.xR) (tptp.sdtmndtplgtdt0 W3 tptp.xR W1))) (tptp.sdtmndtplgtdt0 W0 tptp.xR W1) (tptp.sdtmndtasgtdt0 W0 tptp.xR W1)) (or (= W0 W2) (tptp.aReductOfIn0 W2 W0 tptp.xR) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (tptp.aReductOfIn0 W3 W0 tptp.xR) (tptp.sdtmndtplgtdt0 W3 tptp.xR W2))) (tptp.sdtmndtplgtdt0 W0 tptp.xR W2) (tptp.sdtmndtasgtdt0 W0 tptp.xR W2))) (=> (tptp.iLess0 W0 tptp.xa) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (or (= W1 W3) (and (or (tptp.aReductOfIn0 W3 W1 tptp.xR) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.aReductOfIn0 W4 W1 tptp.xR) (tptp.sdtmndtplgtdt0 W4 tptp.xR W3)))) (tptp.sdtmndtplgtdt0 W1 tptp.xR W3))) (tptp.sdtmndtasgtdt0 W1 tptp.xR W3) (or (= W2 W3) (and (or (tptp.aReductOfIn0 W3 W2 tptp.xR) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.aReductOfIn0 W4 W2 tptp.xR) (tptp.sdtmndtplgtdt0 W4 tptp.xR W3)))) (tptp.sdtmndtplgtdt0 W2 tptp.xR W3))) (tptp.sdtmndtasgtdt0 W2 tptp.xR W3)))))) (and (or (tptp.aReductOfIn0 tptp.xb tptp.xa tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xa tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xb)))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb) (or (tptp.aReductOfIn0 tptp.xc tptp.xa tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xa tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xc)))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc)) _let_7 _let_4 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.48/10.98 )
% 10.48/10.98 % SZS output end Proof for COM017+4
% 10.48/10.98 % cvc5---1.0.5 exiting
% 10.48/10.98 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------