TSTP Solution File: CSR014+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CSR014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 21:04:29 EDT 2023

% Result   : Theorem 0.20s 0.63s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : CSR014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n001.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Aug 28 08:39:04 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.63  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.MbhOy32Fai/cvc5---1.0.5_31077.p...
% 0.20/0.63  ------- get file name : TPTP file name is CSR014+1
% 0.20/0.63  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31077.smt2...
% 0.20/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.63  % SZS status Theorem for CSR014+1
% 0.20/0.63  % SZS output start Proof for CSR014+1
% 0.20/0.63  (
% 0.20/0.63  (let ((_let_1 (tptp.releasedAt tptp.filling tptp.n3))) (let ((_let_2 (not (not _let_1)))) (let ((_let_3 (tptp.releasedAt tptp.filling tptp.n0))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.plus X Y) (tptp.plus Y X))))) (let ((_let_6 (tptp.plus tptp.n1 tptp.n2))) (let ((_let_7 (= _let_6 tptp.n3))) (let ((_let_8 (tptp.plus tptp.n1 tptp.n1))) (let ((_let_9 (= _let_8 tptp.n2))) (let ((_let_10 (tptp.plus tptp.n0 tptp.n1))) (let ((_let_11 (= _let_10 tptp.n1))) (let ((_let_12 (forall ((X $$unsorted)) (not (= tptp.filling (tptp.waterLevel X)))))) (let ((_let_13 (forall ((Event $$unsorted) (Fluent $$unsorted) (Time $$unsorted)) (= (tptp.releases Event Fluent Time) (exists ((Height $$unsorted)) (and (= Event tptp.tapOn) (= Fluent (tptp.waterLevel Height)))))))) (let ((_let_14 (forall ((Fluent $$unsorted) (Time $$unsorted)) (=> (and (not (tptp.releasedAt Fluent Time)) (not (exists ((Event $$unsorted)) (and (tptp.happens Event Time) (tptp.releases Event Fluent Time))))) (not (tptp.releasedAt Fluent (tptp.plus Time tptp.n1))))))) (let ((_let_15 (tptp.releases SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.filling tptp.n0))) (let ((_let_16 (forall ((Height $$unsorted)) (not (= tptp.filling (tptp.waterLevel Height)))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) _let_17))) (let ((_let_19 (= _let_15 _let_18))) (let ((_let_20 (not _let_15))) (let ((_let_21 (or (not (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.n0)) _let_20))) (let ((_let_22 (forall ((Event $$unsorted)) (or (not (tptp.happens Event tptp.n0)) (not (tptp.releases Event tptp.filling tptp.n0)))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (tptp.releasedAt tptp.filling _let_10))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_22))) (let ((_let_27 (or _let_3 _let_26 _let_25))) (let ((_let_28 (forall ((Fluent $$unsorted) (Time $$unsorted)) (or (tptp.releasedAt Fluent Time) (not (forall ((Event $$unsorted)) (or (not (tptp.happens Event Time)) (not (tptp.releases Event Fluent Time))))) (not (tptp.releasedAt Fluent (tptp.plus Time tptp.n1))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 ((not (= (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)) false))))) (let ((_let_32 (tptp.releasedAt tptp.filling tptp.n1))) (let ((_let_33 (= tptp.n1 _let_10))) (let ((_let_34 (tptp.releasedAt tptp.filling _let_8))) (let ((_let_35 (not _let_34))) (let ((_let_36 (forall ((Event $$unsorted)) (or (not (tptp.happens Event tptp.n1)) (not (tptp.releases Event tptp.filling tptp.n1)))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_32 _let_37 _let_35))) (let ((_let_39 (tptp.releases SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.filling tptp.n1))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or (not (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.n1)) _let_40))) (let ((_let_42 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_17))) (let ((_let_43 (= _let_39 _let_42))) (let ((_let_44 (forall ((Event $$unsorted) (Fluent $$unsorted) (Time $$unsorted)) (= (tptp.releases Event Fluent Time) (and (= tptp.tapOn Event) (not (forall ((Height $$unsorted)) (not (= Fluent (tptp.waterLevel Height)))))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 ((tptp.releases Event Fluent Time)))) (let ((_let_48 (not _let_42))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_12 (= X Height)))) (ASSUME :args (_let_12)) :args (_let_16 false _let_12)))) (let ((_let_50 (or))) (let ((_let_51 (_let_37))) (let ((_let_52 (tptp.releasedAt tptp.filling tptp.n2))) (let ((_let_53 (= tptp.n2 _let_8))) (let ((_let_54 (tptp.plus tptp.n2 tptp.n1))) (let ((_let_55 (tptp.releasedAt tptp.filling _let_54))) (let ((_let_56 (not _let_55))) (let ((_let_57 (forall ((Event $$unsorted)) (or (not (tptp.happens Event tptp.n2)) (not (tptp.releases Event tptp.filling tptp.n2)))))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_52 _let_58 _let_56))) (let ((_let_60 (= _let_6 _let_54))) (let ((_let_61 (= tptp.n3 _let_6))) (let ((_let_62 (_let_5))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (SYMM (ASSUME :args (_let_7))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (and _let_1 _let_61 _let_60))) (let ((_let_67 (_let_1 _let_61 _let_60))) (let ((_let_68 (APPLY_UF tptp.releasedAt))) (let ((_let_69 (ASSUME :args (_let_60)))) (let ((_let_70 (REFL :args (tptp.filling)))) (let ((_let_71 (tptp.releases SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.filling tptp.n2))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or (not (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.n2)) _let_72))) (let ((_let_74 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_17))) (let ((_let_75 (= _let_71 _let_74))) (let ((_let_76 (not _let_74))) (let ((_let_77 (_let_58))) (let ((_let_78 (SYMM (ASSUME :args (_let_9))))) (let ((_let_79 (and _let_53 _let_52))) (let ((_let_80 (ASSUME :args (_let_52)))) (let ((_let_81 (SYMM (ASSUME :args (_let_11))))) (let ((_let_82 (and _let_33 _let_32))) (let ((_let_83 (ASSUME :args (_let_32)))) (let ((_let_84 (_let_26))) (let ((_let_85 (not _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or _let_20 _let_18 (not _let_19)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.filling tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_19 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_17 _let_85))) _let_49 :args (_let_85 false _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_15))) :args _let_50)) :args ((or _let_15 _let_21))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_84)) :args _let_84)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_3 _let_25 _let_26 (not _let_27)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_82)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_83 _let_81) (SCOPE (TRUE_ELIM (TRANS (CONG _let_70 (SYMM _let_81) :args _let_68) (TRUE_INTRO _let_83))) :args (_let_32 _let_33))) :args (_let_33 _let_32))) :args (true _let_82)) _let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_32 _let_35 _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_79)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_80 _let_78) (SCOPE (TRUE_ELIM (TRANS (CONG _let_70 (SYMM _let_78) :args _let_68) (TRUE_INTRO _let_80))) :args (_let_52 _let_53))) :args (_let_53 _let_52))) :args (true _let_79)) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_52 _let_58 _let_56 (not _let_59)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_77)) :args _let_77)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) (REFL :args ((not _let_73))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 1)) (CONG (REFL :args (_let_73)) (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_50)) :args ((or _let_71 _let_73))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_75)) :args ((or _let_72 _let_74 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 1)) :args ((or _let_17 _let_76))) _let_49 :args (_let_76 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.filling tptp.n2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_75 false _let_44)) :args (_let_72 true _let_74 false _let_75)) :args (_let_73 true _let_71)) :args (_let_57 false _let_73)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_64 _let_69) (SCOPE (TRUE_ELIM (TRANS (CONG _let_70 (TRANS (SYMM _let_69) (SYMM _let_64)) :args _let_68) (TRUE_INTRO _let_65))) :args _let_67)) :args _let_67)) :args (true _let_66)) _let_65 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.n1 tptp.n2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.plus X Y)))) :args _let_62)) _let_63 :args (_let_60 false _let_5)) :args (_let_55 false _let_1 false _let_61 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.filling tptp.n2 QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_30)) _let_29 :args (_let_59 false _let_28)) :args (_let_52 false _let_57 false _let_55 false _let_59)) :args (_let_34 false _let_53 false _let_52)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) (REFL :args ((not _let_41))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 1)) (CONG (REFL :args (_let_41)) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_50)) :args ((or _let_39 _let_41))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_43)) :args ((or _let_40 _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_17 _let_48))) _let_49 :args (_let_48 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.filling tptp.n1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_43 false _let_44)) :args (_let_40 true _let_42 false _let_43)) :args (_let_41 true _let_39)) :args (_let_36 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.filling tptp.n1 QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_30)) _let_29 :args (_let_38 false _let_28)) :args (_let_32 false _let_34 false _let_36 false _let_38)) :args (_let_24 false _let_33 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.filling tptp.n0 QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_30)) _let_29 :args (_let_27 false _let_28)) :args (_let_26 true _let_3 false _let_24 false _let_27)) :args (_let_23 true _let_22)) :args (_let_15 true _let_21)) :args (false false _let_19 true _let_18 false _let_15)) :args ((forall ((Time1 $$unsorted) (Fluent $$unsorted) (Time2 $$unsorted)) (= (tptp.stoppedIn Time1 Fluent Time2) (exists ((Event $$unsorted) (Time $$unsorted)) (and (tptp.happens Event Time) (tptp.less Time1 Time) (tptp.less Time Time2) (tptp.terminates Event Fluent Time))))) (forall ((Time1 $$unsorted) (Time2 $$unsorted) (Fluent $$unsorted)) (= (tptp.startedIn Time1 Fluent Time2) (exists ((Event $$unsorted) (Time $$unsorted)) (and (tptp.happens Event Time) (tptp.less Time1 Time) (tptp.less Time Time2) (tptp.initiates Event Fluent Time))))) (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted) (Fluent2 $$unsorted) (Offset $$unsorted)) (let ((_let_1 (tptp.plus Time Offset))) (=> (and (tptp.happens Event Time) (tptp.initiates Event Fluent Time) (tptp.less tptp.n0 Offset) (tptp.trajectory Fluent Time Fluent2 Offset) (not (tptp.stoppedIn Time Fluent _let_1))) (tptp.holdsAt Fluent2 _let_1)))) (forall ((Event $$unsorted) (Time1 $$unsorted) (Fluent1 $$unsorted) (Time2 $$unsorted) (Fluent2 $$unsorted)) (let ((_let_1 (tptp.plus Time1 Time2))) (=> (and (tptp.happens Event Time1) (tptp.terminates Event Fluent1 Time1) (tptp.less tptp.n0 Time2) (tptp.antitrajectory Fluent1 Time1 Fluent2 Time2) (not (tptp.startedIn Time1 Fluent1 _let_1))) (tptp.holdsAt Fluent2 _let_1)))) (forall ((Fluent $$unsorted) (Time $$unsorted)) (let ((_let_1 (tptp.plus Time tptp.n1))) (=> (and (tptp.holdsAt Fluent Time) (not (tptp.releasedAt Fluent _let_1)) (not (exists ((Event $$unsorted)) (and (tptp.happens Event Time) (tptp.terminates Event Fluent Time))))) (tptp.holdsAt Fluent _let_1)))) (forall ((Fluent $$unsorted) (Time $$unsorted)) (let ((_let_1 (tptp.plus Time tptp.n1))) (=> (and (not (tptp.holdsAt Fluent Time)) (not (tptp.releasedAt Fluent _let_1)) (not (exists ((Event $$unsorted)) (and (tptp.happens Event Time) (tptp.initiates Event Fluent Time))))) (not (tptp.holdsAt Fluent _let_1))))) (forall ((Fluent $$unsorted) (Time $$unsorted)) (=> (and (tptp.releasedAt Fluent Time) (not (exists ((Event $$unsorted)) (and (tptp.happens Event Time) (or (tptp.initiates Event Fluent Time) (tptp.terminates Event Fluent Time)))))) (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)))) _let_14 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (tptp.initiates Event Fluent Time)) (tptp.holdsAt Fluent (tptp.plus Time tptp.n1)))) (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (tptp.terminates Event Fluent Time)) (not (tptp.holdsAt Fluent (tptp.plus Time tptp.n1))))) (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (tptp.releases Event Fluent Time)) (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)))) (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (or (tptp.initiates Event Fluent Time) (tptp.terminates Event Fluent Time))) (not (tptp.releasedAt Fluent (tptp.plus Time tptp.n1))))) (forall ((Event $$unsorted) (Fluent $$unsorted) (Time $$unsorted)) (= (tptp.initiates Event Fluent Time) (or (and (= Event tptp.tapOn) (= Fluent tptp.filling)) (and (= Event tptp.overflow) (= Fluent tptp.spilling)) (exists ((Height $$unsorted)) (let ((_let_1 (tptp.waterLevel Height))) (and (tptp.holdsAt _let_1 Time) (= Event tptp.tapOff) (= Fluent _let_1)))) (exists ((Height $$unsorted)) (let ((_let_1 (tptp.waterLevel Height))) (and (tptp.holdsAt _let_1 Time) (= Event tptp.overflow) (= Fluent _let_1))))))) (forall ((Event $$unsorted) (Fluent $$unsorted) (Time $$unsorted)) (let ((_let_1 (= Fluent tptp.filling))) (= (tptp.terminates Event Fluent Time) (or (and (= Event tptp.tapOff) _let_1) (and (= Event tptp.overflow) _let_1))))) _let_13 (forall ((Event $$unsorted) (Time $$unsorted)) (= (tptp.happens Event Time) (or (and (= Event tptp.tapOn) (= Time tptp.n0)) (and (tptp.holdsAt (tptp.waterLevel tptp.n3) Time) (tptp.holdsAt tptp.filling Time) (= Event tptp.overflow))))) (forall ((Height1 $$unsorted) (Time $$unsorted) (Height2 $$unsorted) (Offset $$unsorted)) (=> (and (tptp.holdsAt (tptp.waterLevel Height1) Time) (= Height2 (tptp.plus Height1 Offset))) (tptp.trajectory tptp.filling Time (tptp.waterLevel Height2) Offset))) (forall ((Time $$unsorted) (Height1 $$unsorted) (Height2 $$unsorted)) (=> (and (tptp.holdsAt (tptp.waterLevel Height1) Time) (tptp.holdsAt (tptp.waterLevel Height2) Time)) (= Height1 Height2))) (not (= tptp.tapOff tptp.tapOn)) (not (= tptp.tapOff tptp.overflow)) (not (= tptp.overflow tptp.tapOn)) _let_12 (forall ((X $$unsorted)) (not (= tptp.spilling (tptp.waterLevel X)))) (not (= tptp.filling tptp.spilling)) (forall ((X $$unsorted) (Y $$unsorted)) (= (= (tptp.waterLevel X) (tptp.waterLevel Y)) (= X Y))) (= (tptp.plus tptp.n0 tptp.n0) tptp.n0) _let_11 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2) (= (tptp.plus tptp.n0 tptp.n3) tptp.n3) _let_9 _let_7 (= (tptp.plus tptp.n1 tptp.n3) tptp.n4) (= (tptp.plus tptp.n2 tptp.n2) tptp.n4) (= (tptp.plus tptp.n2 tptp.n3) tptp.n5) (= (tptp.plus tptp.n3 tptp.n3) tptp.n6) _let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.less_or_equal X Y) (or (tptp.less X Y) (= X Y)))) (not (exists ((X $$unsorted)) (tptp.less X tptp.n0))) (forall ((X $$unsorted)) (= (tptp.less X tptp.n1) (tptp.less_or_equal X tptp.n0))) (forall ((X $$unsorted)) (= (tptp.less X tptp.n2) (tptp.less_or_equal X tptp.n1))) (forall ((X $$unsorted)) (= (tptp.less X tptp.n3) (tptp.less_or_equal X tptp.n2))) (forall ((X $$unsorted)) (= (tptp.less X tptp.n4) (tptp.less_or_equal X tptp.n3))) (forall ((X $$unsorted)) (= (tptp.less X tptp.n5) (tptp.less_or_equal X tptp.n4))) (forall ((X $$unsorted)) (= (tptp.less X tptp.n6) (tptp.less_or_equal X tptp.n5))) (forall ((X $$unsorted)) (= (tptp.less X tptp.n7) (tptp.less_or_equal X tptp.n6))) (forall ((X $$unsorted)) (= (tptp.less X tptp.n8) (tptp.less_or_equal X tptp.n7))) (forall ((X $$unsorted)) (= (tptp.less X tptp.n9) (tptp.less_or_equal X tptp.n8))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.less X Y) (and (not (tptp.less Y X)) (not (= Y X))))) (tptp.holdsAt (tptp.waterLevel tptp.n0) tptp.n0) (not (tptp.holdsAt tptp.filling tptp.n0)) (not (tptp.holdsAt tptp.spilling tptp.n0)) (forall ((Height $$unsorted)) (not (tptp.releasedAt (tptp.waterLevel Height) tptp.n0))) _let_4 (not (tptp.releasedAt tptp.spilling tptp.n0)) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.63  )
% 0.20/0.63  % SZS output end Proof for CSR014+1
% 0.20/0.63  % cvc5---1.0.5 exiting
% 0.20/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------