TSTP Solution File: CSR005+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CSR005+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 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 21:04:27 EDT 2023
% Result : Theorem 28.68s 28.87s
% Output : Proof 28.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CSR005+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n014.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 08:17:31 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 28.68/28.87 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jMqVQEUJN1/cvc5---1.0.5_31506.p...
% 28.68/28.87 ------- get file name : TPTP file name is CSR005+2
% 28.68/28.87 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31506.smt2...
% 28.68/28.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 28.68/28.87 --- Run --no-e-matching --full-saturate-quant at 5...
% 28.68/28.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 28.68/28.87 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 28.68/28.87 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 28.68/28.87 % SZS status Theorem for CSR005+2
% 28.68/28.87 % SZS output start Proof for CSR005+2
% 28.68/28.87 (
% 28.68/28.87 (let ((_let_1 (not (tptp.holdsAt tptp.filling tptp.n3)))) (let ((_let_2 (not (tptp.releasedAt tptp.filling tptp.n3)))) (let ((_let_3 (forall ((Height $$unsorted)) (not (tptp.releasedAt (tptp.waterLevel Height) tptp.n0))))) (let ((_let_4 (tptp.holdsAt (tptp.waterLevel tptp.n0) tptp.n0))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.less X Y) (and (not (tptp.less Y X)) (not (= Y X))))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.less X tptp.n6) (tptp.less_or_equal X tptp.n5))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.less X tptp.n5) (tptp.less_or_equal X tptp.n4))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.less X tptp.n4) (tptp.less_or_equal X tptp.n3))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.less X tptp.n3) (tptp.less_or_equal X tptp.n2))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.less X tptp.n2) (tptp.less_or_equal X tptp.n1))))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.less X tptp.n1) (tptp.less_or_equal X tptp.n0))))) (let ((_let_12 (not (exists ((X $$unsorted)) (tptp.less X tptp.n0))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.less_or_equal X Y) (or (tptp.less X Y) (= X Y)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.plus X Y) (tptp.plus Y X))))) (let ((_let_15 (tptp.plus tptp.n3 tptp.n3))) (let ((_let_16 (= _let_15 tptp.n6))) (let ((_let_17 (tptp.plus tptp.n2 tptp.n3))) (let ((_let_18 (= _let_17 tptp.n5))) (let ((_let_19 (tptp.plus tptp.n2 tptp.n2))) (let ((_let_20 (= _let_19 tptp.n4))) (let ((_let_21 (tptp.plus tptp.n1 tptp.n3))) (let ((_let_22 (= _let_21 tptp.n4))) (let ((_let_23 (tptp.plus tptp.n1 tptp.n2))) (let ((_let_24 (= _let_23 tptp.n3))) (let ((_let_25 (tptp.plus tptp.n1 tptp.n1))) (let ((_let_26 (= _let_25 tptp.n2))) (let ((_let_27 (tptp.plus tptp.n0 tptp.n3))) (let ((_let_28 (= _let_27 tptp.n3))) (let ((_let_29 (tptp.plus tptp.n0 tptp.n2))) (let ((_let_30 (= _let_29 tptp.n2))) (let ((_let_31 (tptp.plus tptp.n0 tptp.n1))) (let ((_let_32 (= _let_31 tptp.n1))) (let ((_let_33 (tptp.plus tptp.n0 tptp.n0))) (let ((_let_34 (= _let_33 tptp.n0))) (let ((_let_35 (forall ((Time $$unsorted) (Height1 $$unsorted) (Height2 $$unsorted)) (=> (and (tptp.holdsAt (tptp.waterLevel Height1) Time) (tptp.holdsAt (tptp.waterLevel Height2) Time)) (= Height1 Height2))))) (let ((_let_36 (forall ((Height1 $$unsorted) (Time $$unsorted) (Height2 $$unsorted) (Offset $$unsorted)) (=> (and (tptp.holdsAt (tptp.waterLevel Height1) Time) (= Height2 (tptp.plus Height1 Offset))) (tptp.trajectory tptp.filling Time (tptp.waterLevel Height2) Offset))))) (let ((_let_37 (forall ((Event $$unsorted) (Time $$unsorted)) (= (tptp.happens Event Time) (or (and (= Event tptp.tapOn) (= Time tptp.n0)) (and (tptp.holdsAt (tptp.waterLevel tptp.n3) Time) (tptp.holdsAt tptp.filling Time) (= Event tptp.overflow))))))) (let ((_let_38 (forall ((Event $$unsorted) (Fluent $$unsorted) (Time $$unsorted)) (= (tptp.releases Event Fluent Time) (exists ((Height $$unsorted)) (and (= Event tptp.tapOn) (= Fluent (tptp.waterLevel Height)))))))) (let ((_let_39 (forall ((Event $$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))))))))) (let ((_let_40 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (tptp.releases Event Fluent Time)) (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)))))) (let ((_let_41 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (tptp.initiates Event Fluent Time)) (tptp.holdsAt Fluent (tptp.plus Time tptp.n1)))))) (let ((_let_42 (forall ((Fluent $$unsorted) (Time $$unsorted)) (=> (and (tptp.releasedAt Fluent Time) (not (exists ((Event $$unsorted)) (and (tptp.happens Event Time) (or (tptp.initiates Event Fluent Time) (tptp.terminates Event Fluent Time)))))) (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)))))) (let ((_let_43 (forall ((Fluent $$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)))))) (let ((_let_44 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted) (Fluent2 $$unsorted) (Offset $$unsorted)) (let ((_let_1 (tptp.plus Time Offset))) (=> (and (tptp.happens Event Time) (tptp.initiates Event Fluent Time) (tptp.less tptp.n0 Offset) (tptp.trajectory Fluent Time Fluent2 Offset) (not (tptp.stoppedIn Time Fluent _let_1))) (tptp.holdsAt Fluent2 _let_1)))))) (let ((_let_45 (forall ((Time1 $$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))))))) (let ((_let_46 (tptp.less_or_equal tptp.n0 tptp.n1))) (let ((_let_47 (= tptp.n0 tptp.n1))) (let ((_let_48 (tptp.less tptp.n0 tptp.n1))) (let ((_let_49 (or _let_48 _let_47))) (let ((_let_50 (= _let_46 _let_49))) (let ((_let_51 (tptp.less tptp.n0 _let_25))) (let ((_let_52 (= _let_46 _let_51))) (let ((_let_53 (not _let_46))) (let ((_let_54 (forall ((X $$unsorted)) (= (tptp.less_or_equal X tptp.n1) (tptp.less X (tptp.plus tptp.n1 tptp.n1)))))) (let ((_let_55 (SYMM (ASSUME :args (_let_26))))) (let ((_let_56 (EQ_RESOLVE (SYMM (ASSUME :args (_let_24))) (MACRO_SR_EQ_INTRO _let_55 :args ((= tptp.n3 _let_23) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (EQ_RESOLVE (SYMM (ASSUME :args (_let_22))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_56 _let_55) :args ((= tptp.n4 _let_21) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (AND_INTRO _let_57 _let_56 _let_55))) (let ((_let_59 (EQ_RESOLVE (SYMM (ASSUME :args (_let_18))) (MACRO_SR_EQ_INTRO _let_58 :args ((= tptp.n5 _let_17) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (AND_INTRO (EQ_RESOLVE (SYMM (ASSUME :args (_let_16))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_59 _let_57 _let_56 _let_55) :args ((= tptp.n6 _let_15) SB_DEFAULT SBA_FIXPOINT))) _let_59 _let_57 _let_56 _let_55))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO _let_60 :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_54))) (let ((_let_63 (tptp.n0 QUANTIFIERS_INST_ENUM))) (let ((_let_64 (tptp.plus tptp.n0 _let_25))) (let ((_let_65 (tptp.waterLevel _let_64))) (let ((_let_66 (tptp.holdsAt _let_65 _let_64))) (let ((_let_67 (tptp.stoppedIn tptp.n0 tptp.filling _let_64))) (let ((_let_68 (tptp.trajectory tptp.filling tptp.n0 _let_65 _let_25))) (let ((_let_69 (not _let_68))) (let ((_let_70 (not _let_51))) (let ((_let_71 (tptp.initiates tptp.tapOn tptp.filling tptp.n0))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.happens tptp.tapOn tptp.n0))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72 _let_70 _let_69 _let_67 _let_66))) (let ((_let_76 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted) (Fluent2 $$unsorted) (Offset $$unsorted)) (let ((_let_1 (tptp.plus Time Offset))) (or (not (tptp.happens Event Time)) (not (tptp.initiates Event Fluent Time)) (not (tptp.less tptp.n0 Offset)) (not (tptp.trajectory Fluent Time Fluent2 Offset)) (tptp.stoppedIn Time Fluent _let_1) (tptp.holdsAt Fluent2 _let_1)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 (tptp.holdsAt _let_65 _let_25))) (let ((_let_80 (= _let_25 _let_64))) (let ((_let_81 (not _let_66))) (let ((_let_82 (tptp.plus tptp.n1 _let_25))) (let ((_let_83 (tptp.plus tptp.n0 _let_82))) (let ((_let_84 (= _let_64 _let_83))) (let ((_let_85 (not _let_79))) (let ((_let_86 (tptp.waterLevel _let_83))) (let ((_let_87 (tptp.holdsAt _let_86 _let_25))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_85 _let_84))) (let ((_let_90 (forall ((Time $$unsorted) (Height1 $$unsorted) (Height2 $$unsorted)) (or (not (tptp.holdsAt (tptp.waterLevel Height1) Time)) (not (tptp.holdsAt (tptp.waterLevel Height2) Time)) (= Height1 Height2))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 (tptp.waterLevel _let_82))) (let ((_let_94 (tptp.holdsAt _let_93 _let_25))) (let ((_let_95 (= _let_82 _let_83))) (let ((_let_96 (tptp.holdsAt tptp.filling _let_25))) (let ((_let_97 (and _let_94 _let_96 (= tptp.overflow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_197)))) (let ((_let_98 (= tptp.n0 _let_25))) (let ((_let_99 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_197) _let_98))) (let ((_let_100 (or _let_99 _let_97))) (let ((_let_101 (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_197 _let_25))) (let ((_let_102 (= _let_101 _let_100))) (let ((_let_103 (forall ((Event $$unsorted) (Time $$unsorted)) (= (tptp.happens Event Time) (or (and (= tptp.tapOn Event) (= tptp.n0 Time)) (and (tptp.holdsAt (tptp.waterLevel (tptp.plus tptp.n1 (tptp.plus tptp.n1 tptp.n1))) Time) (tptp.holdsAt tptp.filling Time) (= tptp.overflow Event))))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_37)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((forall ((Event $$unsorted) (Time $$unsorted)) (= (tptp.happens Event Time) (or (and (= tptp.tapOn Event) (= tptp.n0 Time)) (and (tptp.holdsAt (tptp.waterLevel tptp.n3) Time) (tptp.holdsAt tptp.filling Time) (= tptp.overflow Event))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_105 (_let_103))) (let ((_let_106 (not _let_101))) (let ((_let_107 (or _let_106 (not (tptp.terminates SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_197 tptp.filling _let_25))))) (let ((_let_108 (forall ((Event $$unsorted)) (let ((_let_1 (tptp.plus tptp.n1 tptp.n1))) (or (not (tptp.happens Event _let_1)) (not (tptp.terminates Event tptp.filling _let_1))))))) (let ((_let_109 (not _let_107))) (let ((_let_110 (tptp.plus _let_25 tptp.n1))) (let ((_let_111 (tptp.holdsAt tptp.filling _let_110))) (let ((_let_112 (not _let_108))) (let ((_let_113 (tptp.releasedAt tptp.filling _let_110))) (let ((_let_114 (not _let_96))) (let ((_let_115 (or _let_114 _let_113 _let_112 _let_111))) (let ((_let_116 (forall ((Fluent $$unsorted) (Time $$unsorted)) (let ((_let_1 (tptp.plus Time tptp.n1))) (or (not (tptp.holdsAt Fluent Time)) (tptp.releasedAt Fluent _let_1) (not (forall ((Event $$unsorted)) (or (not (tptp.happens Event Time)) (not (tptp.terminates Event Fluent Time))))) (tptp.holdsAt Fluent _let_1)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 ((not (= (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)) true))))) (let ((_let_120 (= _let_82 _let_110))) (let ((_let_121 (tptp.holdsAt tptp.filling _let_82))) (let ((_let_122 (not _let_111))) (let ((_let_123 (_let_14))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 ((tptp.plus X Y)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.n1 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_125)) :args _let_123)) _let_124 :args (_let_120 false _let_14)))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO _let_60 :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (or))) (let ((_let_129 (REFL :args ((not _let_120))))) (let ((_let_130 (not _let_121))) (let ((_let_131 (MACRO_SR_PRED_INTRO :args ((= (not _let_130) _let_121))))) (let ((_let_132 (and _let_130 _let_120))) (let ((_let_133 (_let_130 _let_120))) (let ((_let_134 (FALSE_INTRO _let_127))) (let ((_let_135 (APPLY_UF tptp.holdsAt))) (let ((_let_136 (ASSUME :args (_let_120)))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (REFL :args (tptp.filling)))) (let ((_let_139 (tptp.releasedAt tptp.filling _let_82))) (let ((_let_140 (not _let_113))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO _let_60 :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (not _let_139))) (let ((_let_143 (and _let_142 _let_120))) (let ((_let_144 (_let_142 _let_120))) (let ((_let_145 (APPLY_UF tptp.releasedAt))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_143)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_141 _let_136) (SCOPE (FALSE_ELIM (TRANS (CONG _let_138 _let_137 :args _let_145) (FALSE_INTRO _let_141))) :args _let_144)) :args _let_144)) :args (true _let_143)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_142) _let_139))) _let_129 (REFL :args (_let_140)) :args _let_128)) _let_141 _let_126 :args (_let_140 true _let_139 false _let_120)))) (let ((_let_147 (forall ((Event $$unsorted)) (or (not (tptp.happens Event tptp.n1)) (not (tptp.terminates Event tptp.filling tptp.n1)))))) (let ((_let_148 (tptp.holdsAt tptp.filling tptp.n1))) (let ((_let_149 (not _let_147))) (let ((_let_150 (tptp.releasedAt tptp.filling _let_25))) (let ((_let_151 (not _let_148))) (let ((_let_152 (or _let_151 _let_150 _let_149 _let_96))) (let ((_let_153 (and _let_94 _let_96 (= tptp.overflow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195)))) (let ((_let_154 (forall ((Event $$unsorted)) (let ((_let_1 (tptp.plus tptp.n1 tptp.n1))) (or (not (tptp.happens Event _let_1)) (and (not (tptp.initiates Event tptp.filling _let_1)) (not (tptp.terminates Event tptp.filling _let_1)))))))) (let ((_let_155 (not _let_154))) (let ((_let_156 (not _let_150))) (let ((_let_157 (or _let_156 _let_155 _let_113))) (let ((_let_158 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195) _let_98))) (let ((_let_159 (or _let_158 _let_153))) (let ((_let_160 (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195 _let_25))) (let ((_let_161 (not _let_160))) (let ((_let_162 (or _let_161 (and (not (tptp.initiates SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195 tptp.filling _let_25)) (not (tptp.terminates SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_195 tptp.filling _let_25)))))) (let ((_let_163 (= _let_160 _let_159))) (let ((_let_164 (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 tptp.n1))) (let ((_let_165 (not _let_164))) (let ((_let_166 (or _let_165 (not (tptp.terminates SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 tptp.filling tptp.n1))))) (let ((_let_167 (tptp.holdsAt _let_93 tptp.n1))) (let ((_let_168 (and _let_167 _let_148 (= tptp.overflow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)))) (let ((_let_169 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42) _let_47))) (let ((_let_170 (or _let_169 _let_168))) (let ((_let_171 (= _let_164 _let_170))) (let ((_let_172 (not _let_170))) (let ((_let_173 (not _let_168))) (let ((_let_174 (tptp.holdsAt _let_86 tptp.n1))) (let ((_let_175 (not _let_167))) (let ((_let_176 (= _let_31 _let_83))) (let ((_let_177 (tptp.waterLevel _let_31))) (let ((_let_178 (tptp.holdsAt _let_177 tptp.n1))) (let ((_let_179 (not _let_178))) (let ((_let_180 (not _let_174))) (let ((_let_181 (or _let_180 _let_179 _let_176))) (let ((_let_182 (tptp.holdsAt _let_177 _let_31))) (let ((_let_183 (= tptp.n1 _let_31))) (let ((_let_184 (tptp.stoppedIn tptp.n0 tptp.filling _let_31))) (let ((_let_185 (tptp.trajectory tptp.filling tptp.n0 _let_177 tptp.n1))) (let ((_let_186 (not _let_185))) (let ((_let_187 (not _let_48))) (let ((_let_188 (or _let_74 _let_72 _let_187 _let_186 _let_184 _let_182))) (let ((_let_189 (forall ((Event $$unsorted) (Time $$unsorted)) (or (not (tptp.happens Event Time)) (not (tptp.less tptp.n0 Time)) (not (tptp.less Time (tptp.plus tptp.n0 tptp.n1))) (not (tptp.terminates Event tptp.filling Time)))))) (let ((_let_190 (not _let_189))) (let ((_let_191 (= _let_184 _let_190))) (let 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_168 0)) :args ((or _let_167 _let_173))) _let_271 :args (_let_173 true _let_167)) :args (_let_172 true _let_169 true _let_168)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 tptp.n1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_105)) _let_104 :args (_let_171 false _let_103)) :args (_let_165 true _let_170 false _let_171)) :args (_let_166 true _let_164)) :args (_let_147 false _let_166)) :args (_let_96 true _let_160 false _let_163 true _let_162 true _let_159 true _let_158 true _let_154 false _let_157 true _let_113 true _let_153 false _let_150 false _let_152 false _let_148 false _let_147)) _let_146 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_132)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_136) (SCOPE (FALSE_ELIM (TRANS (CONG _let_138 _let_137 :args _let_135) _let_134)) :args _let_133)) :args _let_133)) :args (true _let_132)) (CONG _let_131 _let_129 (REFL :args (_let_122)) :args _let_128)) _let_127 _let_126 :args (_let_122 true _let_121 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.filling _let_25 QUANTIFIERS_INST_E_MATCHING _let_119)) :args _let_118)) _let_117 :args (_let_115 false _let_116)) :args (_let_112 false _let_96 true _let_113 true _let_111 false _let_115)) :args (_let_109 true _let_108)) :args (_let_101 true _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_197 _let_25 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_105)) _let_104 :args (_let_102 false _let_103)) :args (_let_100 false _let_101 false _let_102)) :args (_let_97 true _let_99 false _let_100)) :args (_let_94 false _let_97)) :args (_let_87 false _let_95 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_25 _let_83 _let_64 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_92))) _let_91 :args (_let_89 false _let_90)) :args (_let_85 true _let_84 false _let_87 false _let_89)) :args (_let_81 false _let_80 true _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.tapOn tptp.n0 tptp.filling _let_65 _let_25 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_78)) _let_77 :args (_let_75 false _let_76)) :args (_let_70 false _let_68 false _let_73 false _let_71 true _let_67 true _let_66 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_63) :args _let_62)) _let_61 :args (_let_52 false _let_54)) :args (_let_53 true _let_51 false _let_52)) :args (false false _let_50 false _let_49 true _let_46)) :args (_let_45 (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))))) _let_44 (forall ((Event $$unsorted) (Time1 $$unsorted) (Fluent1 $$unsorted) (Time2 $$unsorted) (Fluent2 $$unsorted)) (let ((_let_1 (tptp.plus Time1 Time2))) (=> (and (tptp.happens Event Time1) (tptp.terminates Event Fluent1 Time1) (tptp.less tptp.n0 Time2) (tptp.antitrajectory Fluent1 Time1 Fluent2 Time2) (not (tptp.startedIn Time1 Fluent1 _let_1))) (tptp.holdsAt Fluent2 _let_1)))) _let_43 (forall ((Fluent $$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))))) _let_42 (forall ((Fluent $$unsorted) (Time $$unsorted)) (=> (and (not (tptp.releasedAt Fluent Time)) (not (exists ((Event $$unsorted)) (and (tptp.happens Event Time) (tptp.releases Event Fluent Time))))) (not (tptp.releasedAt Fluent (tptp.plus Time tptp.n1))))) _let_41 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (tptp.terminates Event Fluent Time)) (not (tptp.holdsAt Fluent (tptp.plus Time tptp.n1))))) _let_40 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (or (tptp.initiates Event Fluent Time) (tptp.terminates Event Fluent Time))) (not (tptp.releasedAt Fluent (tptp.plus Time tptp.n1))))) _let_39 (forall ((Event $$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_38 _let_37 _let_36 _let_35 (not (= tptp.tapOff tptp.tapOn)) (not (= tptp.tapOff tptp.overflow)) (not (= tptp.overflow tptp.tapOn)) (forall ((X $$unsorted)) (not (= tptp.filling (tptp.waterLevel X)))) (forall ((X $$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))) _let_34 _let_32 _let_30 _let_28 _let_26 _let_24 _let_22 _let_20 _let_18 _let_16 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (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))) _let_5 _let_4 (not (tptp.holdsAt tptp.filling tptp.n0)) (not (tptp.holdsAt tptp.spilling tptp.n0)) _let_3 (not (tptp.releasedAt tptp.filling tptp.n0)) (not (tptp.releasedAt tptp.spilling tptp.n0)) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 28.68/28.88 )
% 28.68/28.88 % SZS output end Proof for CSR005+2
% 28.68/28.88 % cvc5---1.0.5 exiting
% 28.68/28.88 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------