%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM016+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 18:36:58 EDT 2023

% Result   : Theorem 0.21s 0.57s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COM016+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n014.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 13:17:15 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.57  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.GHLSMNRkcy/cvc5---1.0.5_1896.p...
% 0.21/0.57  ------- get file name : TPTP file name is COM016+1
% 0.21/0.57  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1896.smt2...
% 0.21/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57  % SZS status Theorem for COM016+1
% 0.21/0.57  % SZS output start Proof for COM016+1
% 0.21/0.57  (
% 0.21/0.57  (let ((_let_1 (not (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xa tptp.xR) (tptp.sdtmndtasgtdt0 W0 tptp.xR tptp.xb)))))) (let ((_let_2 (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb))) (let ((_let_3 (and _let_2 (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc)))) (let ((_let_4 (tptp.aElement0 tptp.xb))) (let ((_let_5 (tptp.aElement0 tptp.xa))) (let ((_let_6 (and _let_5 _let_4 (tptp.aElement0 tptp.xc)))) (let ((_let_7 (tptp.aRewritingSystem0 tptp.xR))) (let ((_let_8 (forall ((W0 $$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 (tptp.sdtmndtplgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xR tptp.xb))) (let ((_let_11 (or (= tptp.xb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_10))) (let ((_let_12 (tptp.sdtmndtasgtdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xR tptp.xb))) (let ((_let_13 (= _let_12 _let_11))) (let ((_let_14 (not _let_4))) (let ((_let_15 (not _let_7))) (let ((_let_16 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_14 _let_13))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aElement0 W2)) (= (tptp.sdtmndtasgtdt0 W0 W1 W2) (or (= W0 W2) (tptp.sdtmndtplgtdt0 W0 W1 W2))))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (_let_19))) (let ((_let_22 (not _let_10))) (let ((_let_23 (tptp.aReductOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xa tptp.xR))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_17 _let_24 _let_22))) (let ((_let_26 (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.aReductOfIn0 W3 tptp.xa tptp.xR)) (not (tptp.sdtmndtplgtdt0 W3 tptp.xR tptp.xb)))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.aReductOfIn0 tptp.xb tptp.xa tptp.xR))) (let ((_let_30 (or _let_29 _let_28))) (let ((_let_31 (= _let_2 _let_30))) (let ((_let_32 (not _let_5))) (let ((_let_33 (or _let_32 _let_15 _let_14 _let_31))) (let ((_let_34 (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_35 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (ASSUME :args (_let_6)))) (let ((_let_37 (AND_ELIM _let_36 :args (1)))) (let ((_let_38 (0))) (let ((_let_39 (ASSUME :args (_let_7)))) (let ((_let_40 (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xb))) (let ((_let_41 (not _let_40))) (let ((_let_42 (not _let_29))) (let ((_let_43 (or _let_14 _let_42 _let_41))) (let ((_let_44 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aReductOfIn0 W0 tptp.xa tptp.xR)) (not (tptp.sdtmndtasgtdt0 W0 tptp.xR tptp.xb)))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 ((not (= (tptp.aElement0 W0) false))))) (let ((_let_48 (or _let_14 _let_15 _let_14 _let_40))) (let ((_let_49 (or))) (let ((_let_50 (_let_28))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_26))) (REFL :args (_let_27)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_14 _let_41 _let_42 (not _let_43)))) _let_37 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_48))) :args ((or _let_15 _let_14 _let_40 (not _let_48)))) _let_39 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.xb tptp.xR tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtmndtasgtdt0 W0 W1 W2)))) :args _let_21))) _let_20 :args (_let_48 false _let_19)) :args (_let_40 false _let_7 false _let_4 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_43 false _let_44)) :args (_let_42 false _let_4 false _let_40 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_31)) :args ((or (not _let_2) _let_30 (not _let_31)))) (AND_ELIM (ASSUME :args (_let_3)) :args _let_38) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_15 _let_32 _let_14 _let_31 (not _let_33)))) _let_39 (AND_ELIM _let_36 :args _let_38) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.xa tptp.xR tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtmndtplgtdt0 W0 W1 W2)))) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_31 false _let_7 false _let_5 false _let_4 false _let_33)) :args (_let_30 false _let_2 false _let_31)) :args (_let_28 true _let_29 false _let_30)) :args (_let_27 true _let_26)))) (let ((_let_52 (REFL :args (_let_25)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_49)) :args ((or _let_16 _let_25))) _let_51 :args (_let_16 true _let_25)))) (let ((_let_54 (not _let_12))) (let ((_let_55 (or _let_17 _let_24 _let_54))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_13)) :args ((or _let_12 (not _let_11) (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_11 1)) :args ((or _let_22 _let_11))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 2)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_10))) :args _let_49)) :args ((or _let_10 _let_25))) _let_51 :args (_let_10 true _let_25)) :args (_let_11 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_17 _let_24 _let_54 (not _let_55)))) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 1)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_49)) :args ((or _let_23 _let_25))) _let_51 :args (_let_23 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_55 false _let_44)) :args (_let_54 false _let_16 false _let_23 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_15 _let_14 _let_17 _let_13 (not _let_18)))) _let_39 _let_37 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.xR tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtmndtplgtdt0 W0 W1 W2)))) :args _let_21))) _let_20 :args (_let_18 false _let_19)) :args (_let_13 false _let_7 false _let_4 false _let_16 false _let_18)) :args (false false _let_11 true _let_12 false _let_13)) :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 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (=> (tptp.sdtmndtplgtdt0 W0 W1 W2) true))) _let_9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtplgtdt0 W0 W1 W2) (tptp.sdtmndtplgtdt0 W2 W1 W3)) (tptp.sdtmndtplgtdt0 W0 W1 W3)))) _let_8 (forall ((W0 $$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 $$unsorted)) (tptp.aNormalFormOfIn0 W2 W1 W0)))))) _let_7 (and (tptp.isLocallyConfluent0 tptp.xR) (tptp.isTerminating0 tptp.xR)) _let_6 (forall ((W0 $$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_3 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57  )
% 0.21/0.57  % SZS output end Proof for COM016+1
% 0.21/0.57  % cvc5---1.0.5 exiting
% 0.21/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------