TSTP Solution File: COM020+4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM020+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 18:37:00 EDT 2023
% Result : Theorem 22.84s 23.08s
% Output : Proof 22.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : COM020+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 12:56:43 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 22.84/23.08 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wF6Y7IldVq/cvc5---1.0.5_23478.p...
% 22.84/23.08 ------- get file name : TPTP file name is COM020+4
% 22.84/23.08 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23478.smt2...
% 22.84/23.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 22.84/23.08 --- Run --no-e-matching --full-saturate-quant at 5...
% 22.84/23.08 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 22.84/23.08 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.84/23.08 % SZS status Theorem for COM020+4
% 22.84/23.08 % SZS output start Proof for COM020+4
% 22.84/23.08 (
% 22.84/23.08 (let ((_let_1 (not (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (or (= tptp.xb W0) (tptp.aReductOfIn0 W0 tptp.xb tptp.xR) (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (tptp.aReductOfIn0 W1 tptp.xb tptp.xR) (tptp.sdtmndtplgtdt0 W1 tptp.xR W0))) (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR W0) (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR W0)) (or (= tptp.xd W0) (tptp.aReductOfIn0 W0 tptp.xd tptp.xR) (exists ((W1 $$unsorted)) (and (tptp.aElement0 W1) (tptp.aReductOfIn0 W1 tptp.xd tptp.xR) (tptp.sdtmndtplgtdt0 W1 tptp.xR W0))) (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR W0) (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR W0))))))) (let ((_let_2 (tptp.sdtmndtasgtdt0 tptp.xw tptp.xR tptp.xd))) (let ((_let_3 (tptp.sdtmndtplgtdt0 tptp.xw tptp.xR tptp.xd))) (let ((_let_4 (tptp.aReductOfIn0 tptp.xd tptp.xw tptp.xR))) (let ((_let_5 (= tptp.xw tptp.xd))) (let ((_let_6 (tptp.aElement0 tptp.xd))) (let ((_let_7 (and _let_6 (or _let_5 (and (or _let_4 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xw tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xd)))) _let_3)) _let_2 (not (exists ((W0 $$unsorted)) (tptp.aReductOfIn0 W0 tptp.xd tptp.xR))) (tptp.aNormalFormOfIn0 tptp.xd tptp.xw tptp.xR)))) (let ((_let_8 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xw))) (let ((_let_9 (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xw))) (let ((_let_10 (tptp.aReductOfIn0 tptp.xw tptp.xu tptp.xR))) (let ((_let_11 (= tptp.xu tptp.xw))) (let ((_let_12 (tptp.aElement0 tptp.xw))) (let ((_let_13 (and _let_12 (or _let_11 (and (or _let_10 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xu tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xw)))) _let_9)) _let_8 (or (= tptp.xv tptp.xw) (and (or (tptp.aReductOfIn0 tptp.xw tptp.xv tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xv tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xw)))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xw))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xw)))) (let ((_let_14 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb))) (let ((_let_15 (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xb))) (let ((_let_16 (tptp.aReductOfIn0 tptp.xb tptp.xu tptp.xR))) (let ((_let_17 (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR))) (let ((_let_18 (tptp.aElement0 tptp.xu))) (let ((_let_19 (and _let_18 _let_17 (or (= tptp.xu tptp.xb) (and (or _let_16 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xu tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xb)))) _let_15)) _let_14))) (let ((_let_20 (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)))))))) (let ((_let_21 (tptp.aElement0 tptp.xb))) (let ((_let_22 (tptp.aElement0 tptp.xa))) (let ((_let_23 (and _let_22 _let_21 (tptp.aElement0 tptp.xc)))) (let ((_let_24 (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 $$unsorted)) (and (tptp.aElement0 W2) (tptp.aReductOfIn0 W2 W0 tptp.xR) (tptp.sdtmndtplgtdt0 W2 tptp.xR W1))) (tptp.sdtmndtplgtdt0 W0 tptp.xR W1)) (tptp.iLess0 W1 W0)))) (tptp.isTerminating0 tptp.xR)))) (let ((_let_25 (tptp.aRewritingSystem0 tptp.xR))) (let ((_let_26 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtasgtdt0 W0 W1 W2) (tptp.sdtmndtasgtdt0 W2 W1 W3)) (tptp.sdtmndtasgtdt0 W0 W1 W3)))))) (let ((_let_27 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtplgtdt0 W0 W1 W2) (tptp.sdtmndtplgtdt0 W2 W1 W3)) (tptp.sdtmndtplgtdt0 W0 W1 W3)))))) (let ((_let_28 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aElement0 W2)) (not (tptp.aElement0 W3)) (not (tptp.sdtmndtasgtdt0 W0 W1 W2)) (not (tptp.sdtmndtasgtdt0 W2 W1 W3)) (tptp.sdtmndtasgtdt0 W0 W1 W3))))) (let ((_let_29 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xd))) (let ((_let_30 (not _let_2))) (let ((_let_31 (not _let_8))) (let ((_let_32 (not _let_6))) (let ((_let_33 (not _let_12))) (let ((_let_34 (not _let_25))) (let ((_let_35 (not _let_18))) (let ((_let_36 (or _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (not _let_29))) (let ((_let_40 (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR tptp.xd)))) (let ((_let_41 (not (tptp.aReductOfIn0 tptp.xR tptp.xu tptp.xR)))) (let ((_let_42 (not (tptp.aElement0 tptp.xR)))) (let ((_let_43 (and (not (= tptp.xu tptp.xd)) (not (tptp.aReductOfIn0 tptp.xd tptp.xu tptp.xR)) (or _let_42 _let_41 _let_40) (not (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xd)) _let_39))) (let ((_let_44 (forall ((W3 $$unsorted) (BOUND_VARIABLE_1530 $$unsorted) (BOUND_VARIABLE_1518 $$unsorted)) (or (not (tptp.aElement0 W3)) (and (not (= tptp.xb W3)) (or (and (not (tptp.aReductOfIn0 W3 tptp.xb tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1518)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1518 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1518 tptp.xR W3)))) (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR W3)))) (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR W3)) (and (not (= W3 tptp.xd)) (or (and (not (tptp.aReductOfIn0 W3 tptp.xd tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1530)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1530 tptp.xd tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1530 tptp.xR W3)))) (not (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR W3)))) (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR W3)))))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.iLess0 tptp.xu tptp.xa))) (let ((_let_47 (not _let_46))) (let ((_let_48 (not _let_15))) (let ((_let_49 (= tptp.xb tptp.xu))) (let ((_let_50 (not _let_49))) (let ((_let_51 (and _let_50 (not _let_16) (or _let_42 _let_41 (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR tptp.xb))) _let_48 (not _let_14)))) (let ((_let_52 (not _let_21))) (let ((_let_53 (or _let_35 _let_52 _let_32 _let_51 _let_43 _let_47 _let_45))) (let ((_let_54 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (BOUND_VARIABLE_1580 $$unsorted) (BOUND_VARIABLE_1570 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (and (not (= W0 W1)) (not (tptp.aReductOfIn0 W1 W0 tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1570)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1570 W0 tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1570 tptp.xR W1))) (not (tptp.sdtmndtplgtdt0 W0 tptp.xR W1)) (not (tptp.sdtmndtasgtdt0 W0 tptp.xR W1))) (and (not (= W0 W2)) (not (tptp.aReductOfIn0 W2 W0 tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1580)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1580 W0 tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1580 tptp.xR W2))) (not (tptp.sdtmndtplgtdt0 W0 tptp.xR W2)) (not (tptp.sdtmndtasgtdt0 W0 tptp.xR W2))) (not (tptp.iLess0 W0 tptp.xa)) (not (forall ((W3 $$unsorted) (BOUND_VARIABLE_1530 $$unsorted) (BOUND_VARIABLE_1518 $$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_1518)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1518 W1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1518 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_1530)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1530 W2 tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1530 tptp.xR W3)))) (not (tptp.sdtmndtplgtdt0 W2 tptp.xR W3)))) (not (tptp.sdtmndtasgtdt0 W2 tptp.xR W3))))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (not _let_51))) (let ((_let_57 (and (or _let_16 (not (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aReductOfIn0 W0 tptp.xu tptp.xR)) (not (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xb)))))) _let_15))) (let ((_let_58 (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xd))) (let ((_let_59 (and (or _let_10 (not (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aReductOfIn0 W0 tptp.xu tptp.xR)) (not (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xw)))))) _let_9))) (let ((_let_60 (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xd))) (let ((_let_61 (and (or _let_4 (not (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aReductOfIn0 W0 tptp.xw tptp.xR)) (not (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xd)))))) _let_3))) (let ((_let_62 (not _let_3))) (let ((_let_63 (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xw))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_52 _let_34 _let_33 _let_32 _let_64 _let_62 _let_60))) (let ((_let_66 (2))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (AND_ELIM _let_67 :args _let_66))) (let ((_let_69 (not _let_58))) (let ((_let_70 (not _let_60))) (let ((_let_71 (and (not (= tptp.xb tptp.xd)) (not (tptp.aReductOfIn0 tptp.xd tptp.xb tptp.xR)) (or _let_42 (not (tptp.aReductOfIn0 tptp.xR tptp.xb tptp.xR)) _let_40) _let_70 _let_69))) (let ((_let_72 (or _let_32 _let_71))) (let ((_let_73 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1740 $$unsorted) (BOUND_VARIABLE_1730 $$unsorted)) (or (not (tptp.aElement0 W0)) (and (not (= tptp.xb W0)) (not (tptp.aReductOfIn0 W0 tptp.xb tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1730)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1730 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1730 tptp.xR W0))) (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR W0)) (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR W0))) (and (not (= tptp.xd W0)) (not (tptp.aReductOfIn0 W0 tptp.xd tptp.xR)) (or (not (tptp.aElement0 BOUND_VARIABLE_1740)) (not (tptp.aReductOfIn0 BOUND_VARIABLE_1740 tptp.xd tptp.xR)) (not (tptp.sdtmndtplgtdt0 BOUND_VARIABLE_1740 tptp.xR W0))) (not (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR W0)) (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR W0))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 (0))) (let ((_let_77 (AND_ELIM _let_67 :args _let_76))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_32 _let_71 (not _let_72)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.xd tptp.xR tptp.xR QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_75))) _let_74 :args (_let_72 false _let_73)) :args (_let_71 false _let_6 false _let_72)))) (let ((_let_79 (not _let_71))) (let ((_let_80 (not _let_11))) (let ((_let_81 (or))) (let ((_let_82 (REFL :args (_let_50)))) (let ((_let_83 (ASSUME :args (_let_69)))) (let ((_let_84 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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))))))) _let_27 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (= (tptp.sdtmndtasgtdt0 W0 W1 W2) (or (= W0 W2) (tptp.sdtmndtplgtdt0 W0 W1 W2))))) _let_26 (forall ((W0 $$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 $$unsorted)) (tptp.aNormalFormOfIn0 W2 W1 W0)))))) _let_25 _let_24 _let_23 _let_20 (and (or (tptp.aReductOfIn0 tptp.xb tptp.xa tptp.xR) (exists ((W0 $$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 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xa tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xc)))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc)) _let_19 (and (tptp.aElement0 tptp.xv) (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR) (or (= tptp.xv tptp.xc) (and (or (tptp.aReductOfIn0 tptp.xc tptp.xv tptp.xR) (exists ((W0 $$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_13 _let_7 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.84/23.08 )
% 22.84/23.08 % SZS output end Proof for COM020+4
% 22.84/23.08 % cvc5---1.0.5 exiting
% 22.84/23.09 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------