TSTP Solution File: CSR008+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CSR008+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 21:04:28 EDT 2023
% Result : Theorem 0.90s 1.12s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : CSR008+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n023.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 08:51:40 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.90/1.12 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3Xey1F2yrw/cvc5---1.0.5_11675.p...
% 0.90/1.12 ------- get file name : TPTP file name is CSR008+1
% 0.90/1.12 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11675.smt2...
% 0.90/1.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.90/1.12 % SZS status Theorem for CSR008+1
% 0.90/1.12 % SZS output start Proof for CSR008+1
% 0.90/1.12 (
% 0.90/1.12 (let ((_let_1 (tptp.waterLevel tptp.n2))) (let ((_let_2 (tptp.holdsAt _let_1 tptp.n2))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.holdsAt tptp.filling tptp.n0))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.holdsAt (tptp.waterLevel tptp.n0) tptp.n0))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.less X Y) (and (not (tptp.less Y X)) (not (= Y X))))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.less X tptp.n3) (tptp.less_or_equal X tptp.n2))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.less X tptp.n2) (tptp.less_or_equal X tptp.n1))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.less X tptp.n1) (tptp.less_or_equal X tptp.n0))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.less_or_equal X Y) (or (tptp.less X Y) (= X Y)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.plus X Y) (tptp.plus Y X))))) (let ((_let_13 (tptp.plus tptp.n1 tptp.n1))) (let ((_let_14 (tptp.plus tptp.n0 tptp.n2))) (let ((_let_15 (= _let_14 tptp.n2))) (let ((_let_16 (tptp.plus tptp.n0 tptp.n1))) (let ((_let_17 (= _let_16 tptp.n1))) (let ((_let_18 (tptp.plus tptp.n0 tptp.n0))) (let ((_let_19 (= _let_18 tptp.n0))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (= (= (tptp.waterLevel X) (tptp.waterLevel Y)) (= X Y))))) (let ((_let_21 (forall ((X $$unsorted)) (not (= tptp.spilling (tptp.waterLevel X)))))) (let ((_let_22 (forall ((X $$unsorted)) (not (= tptp.filling (tptp.waterLevel X)))))) (let ((_let_23 (forall ((Time $$unsorted) (Height1 $$unsorted) (Height2 $$unsorted)) (=> (and (tptp.holdsAt (tptp.waterLevel Height1) Time) (tptp.holdsAt (tptp.waterLevel Height2) Time)) (= Height1 Height2))))) (let ((_let_24 (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_25 (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_26 (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_27 (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 $$unsorted)) (let ((_let_1 (tptp.waterLevel Height))) (and (tptp.holdsAt _let_1 Time) (= Event tptp.overflow) (= Fluent _let_1))))))))) (let ((_let_28 (forall ((Event $$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 ((_let_29 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (tptp.releases Event Fluent Time)) (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)))))) (let ((_let_30 (forall ((Event $$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_31 (forall ((Fluent $$unsorted) (Time $$unsorted)) (=> (and (tptp.releasedAt Fluent Time) (not (exists ((Event $$unsorted)) (and (tptp.happens Event Time) (or (tptp.initiates Event Fluent Time) (tptp.terminates Event Fluent Time)))))) (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)))))) (let ((_let_32 (forall ((Fluent $$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 ((_let_33 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted) (Fluent2 $$unsorted) (Offset $$unsorted)) (let ((_let_1 (tptp.plus Time Offset))) (=> (and (tptp.happens Event Time) (tptp.initiates Event Fluent Time) (tptp.less tptp.n0 Offset) (tptp.trajectory Fluent Time Fluent2 Offset) (not (tptp.stoppedIn Time Fluent _let_1))) (tptp.holdsAt Fluent2 _let_1)))))) (let ((_let_34 (forall ((Time1 $$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_35 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77))) (let ((_let_36 (tptp.plus _let_18 tptp.n1))) (let ((_let_37 (= _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))) (let ((_let_38 (= tptp.n3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77))) (let ((_let_39 (= tptp.n3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91))) (let ((_let_40 (= _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91))) (let ((_let_41 (tptp.waterLevel SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77))) (let ((_let_42 (tptp.waterLevel SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76))) (let ((_let_43 (= _let_42 _let_41))) (let ((_let_44 (= _let_43 _let_35))) (let ((_let_45 (not _let_35))) (let ((_let_46 (_let_20))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 ((tptp.waterLevel X) (tptp.waterLevel Y)))) (let ((_let_49 (tptp.waterLevel tptp.n3))) (let ((_let_50 (= _let_49 _let_41))) (let ((_let_51 (tptp.waterLevel _let_36))) (let ((_let_52 (= _let_51 _let_42))) (let ((_let_53 (= _let_49 _let_51))) (let ((_let_54 (not _let_43))) (let ((_let_55 (not _let_50))) (let ((_let_56 (not (tptp.holdsAt _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58)))) (let ((_let_57 (or _let_56 _let_55))) (let ((_let_58 (forall ((Height $$unsorted)) (let ((_let_1 (tptp.waterLevel Height))) (or (not (tptp.holdsAt _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58)) (not (= _let_1 (tptp.waterLevel tptp.n3)))))))) (let ((_let_59 (not _let_57))) (let ((_let_60 (tptp.holdsAt _let_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_61 (not _let_58))) (let ((_let_62 (= tptp.overflow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57))) (let ((_let_63 (tptp.holdsAt tptp.filling SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_64 (and _let_60 _let_63 _let_62))) (let ((_let_65 (= tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_66 (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57))) (let ((_let_67 (and _let_66 _let_65))) (let ((_let_68 (or _let_67 _let_64))) (let ((_let_69 (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_70 (= _let_69 _let_68))) (let ((_let_71 (forall ((Event $$unsorted) (Time $$unsorted)) (= (tptp.happens Event Time) (or (and (= tptp.tapOn Event) (= tptp.n0 Time)) (and (tptp.holdsAt (tptp.waterLevel tptp.n3) Time) (tptp.holdsAt tptp.filling Time) (= tptp.overflow Event))))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 ((tptp.happens Event Time)))) (let ((_let_75 (tptp.terminates SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 tptp.filling SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 _let_14))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.less tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_80 (not _let_79))) (let ((_let_81 (not _let_69))) (let ((_let_82 (or _let_81 _let_80 _let_78 _let_76))) (let ((_let_83 (forall ((Event $$unsorted) (Time $$unsorted)) (or (not (tptp.happens Event Time)) (not (tptp.less tptp.n0 Time)) (not (tptp.less Time (tptp.plus tptp.n0 tptp.n2))) (not (tptp.terminates Event tptp.filling Time)))))) (let ((_let_84 (not _let_82))) (let ((_let_85 (not _let_83))) (let ((_let_86 (tptp.stoppedIn tptp.n0 tptp.filling _let_14))) (let ((_let_87 (= _let_86 _let_85))) (let ((_let_88 (forall ((Time1 $$unsorted) (Fluent $$unsorted) (Time2 $$unsorted)) (= (tptp.stoppedIn Time1 Fluent Time2) (not (forall ((Event $$unsorted) (Time $$unsorted)) (or (not (tptp.happens Event Time)) (not (tptp.less Time1 Time)) (not (tptp.less Time Time2)) (not (tptp.terminates Event Fluent Time))))))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.stoppedIn Time1 Fluent Time2)))) (let ((_let_92 (tptp.holdsAt _let_1 _let_14))) (let ((_let_93 (tptp.trajectory tptp.filling tptp.n0 _let_1 tptp.n2))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.less tptp.n0 tptp.n2))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.initiates tptp.tapOn tptp.filling tptp.n0))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.happens tptp.tapOn tptp.n0))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_98 _let_96 _let_94 _let_86 _let_92))) (let ((_let_102 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted) (Fluent2 $$unsorted) (Offset $$unsorted)) (let ((_let_1 (tptp.plus Time Offset))) (or (not (tptp.happens Event Time)) (not (tptp.initiates Event Fluent Time)) (not (tptp.less tptp.n0 Offset)) (not (tptp.trajectory Fluent Time Fluent2 Offset)) (tptp.stoppedIn Time Fluent _let_1) (tptp.holdsAt Fluent2 _let_1)))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (_let_102))) (let ((_let_105 ((not (= (tptp.holdsAt Fluent2 (tptp.plus Time Offset)) true)) (not (= (tptp.initiates Event Fluent Time) false))))) (let ((_let_106 (= tptp.n2 _let_14))) (let ((_let_107 (not _let_92))) (let ((_let_108 (SYMM (ASSUME :args (_let_15))))) (let ((_let_109 (ASSUME :args (_let_3)))) (let ((_let_110 (or))) (let ((_let_111 (and _let_3 _let_106))) (let ((_let_112 (_let_3 _let_106))) (let ((_let_113 (APPLY_UF tptp.holdsAt))) (let ((_let_114 (SYMM (SYMM _let_108)))) (let ((_let_115 (tptp.trajectory tptp.filling tptp.n0 (tptp.waterLevel (tptp.plus _let_18 tptp.n2)) tptp.n2))) (let ((_let_116 (= tptp.n0 _let_18))) (let ((_let_117 (tptp.holdsAt (tptp.waterLevel _let_18) tptp.n0))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_115))) (let ((_let_120 (forall ((Height1 $$unsorted) (Time $$unsorted) (Offset $$unsorted)) (or (not (tptp.holdsAt (tptp.waterLevel Height1) Time)) (tptp.trajectory tptp.filling Time (tptp.waterLevel (tptp.plus Height1 Offset)) Offset))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 ((not (= (tptp.holdsAt (tptp.waterLevel Height1) Time) false)) (tptp.plus Height1 Offset)))) (let ((_let_124 (ASSUME :args (_let_6)))) (let ((_let_125 (SYMM (ASSUME :args (_let_19))))) (let ((_let_126 (not _let_6))) (let ((_let_127 (not _let_116))) (let ((_let_128 (and _let_6 _let_116))) (let ((_let_129 (_let_6 _let_116))) (let ((_let_130 (REFL :args (tptp.n0)))) (let ((_let_131 (APPLY_UF tptp.waterLevel))) (let ((_let_132 (SYMM _let_125))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_128)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_124 _let_125) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG _let_132 :args _let_131) _let_130 :args _let_113) (TRUE_INTRO _let_124))) :args _let_129)) :args _let_129)) :args (true _let_128)) :args ((or _let_127 _let_126 _let_117))) _let_125 _let_124 :args (_let_117 false _let_116 false _let_6)))) (let ((_let_134 (and _let_116 _let_106 _let_115))) (let ((_let_135 (ASSUME :args (_let_115)))) (let ((_let_136 (REFL :args (tptp.n2)))) (let ((_let_137 (APPLY_UF tptp.plus))) (let ((_let_138 (forall ((Event $$unsorted) (Fluent $$unsorted) (Time $$unsorted)) (let ((_let_1 (= tptp.overflow Event))) (= (tptp.initiates Event Fluent Time) (or (and (= tptp.tapOn Event) (= tptp.filling Fluent)) (and _let_1 (= tptp.spilling Fluent)) (and (= tptp.tapOff Event) (not (forall ((Height $$unsorted)) (let ((_let_1 (tptp.waterLevel Height))) (or (not (tptp.holdsAt _let_1 Time)) (not (= Fluent _let_1))))))) (and _let_1 (not (forall ((Height $$unsorted)) (let ((_let_1 (tptp.waterLevel Height))) (or (not (tptp.holdsAt _let_1 Time)) (not (= Fluent _let_1))))))))))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (_let_138))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.tapOn tptp.filling tptp.n0 QUANTIFIERS_INST_ENUM)) :args _let_140))) _let_139 :args (_let_97 false _let_138)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.tapOn tptp.n0 QUANTIFIERS_INST_ENUM)) :args _let_73))) _let_72 :args (_let_99 false _let_71)))) (let ((_let_143 (tptp.less_or_equal tptp.n0 tptp.n1))) (let ((_let_144 (= _let_143 _let_95))) (let ((_let_145 (_let_9))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 (= tptp.n0 tptp.n1))) (let ((_let_148 (tptp.less tptp.n0 tptp.n1))) (let ((_let_149 (or _let_148 _let_147))) (let ((_let_150 (= _let_143 _let_149))) (let ((_let_151 (_let_11))) (let ((_let_152 (ASSUME :args _let_151))) (let ((_let_153 ((tptp.less X Y)))) (let ((_let_154 (tptp.less_or_equal tptp.n0 tptp.n0))) (let ((_let_155 (= _let_154 _let_148))) (let ((_let_156 (_let_10))) (let ((_let_157 (ASSUME :args _let_156))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_155)) :args ((or (not _let_154) _let_148 (not _let_155)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.n0 tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_153)) :args _let_151))) _let_152 :args (_let_154 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_157 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.less_or_equal X tptp.n0)))) :args _let_156))) _let_157 :args (_let_155 false _let_10)) :args (_let_148 false _let_154 false _let_155)))) (let ((_let_159 (not _let_148))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_144)) :args ((or (not _let_143) _let_95 (not _let_144)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_150)) :args ((or _let_143 (not _let_149) (not _let_150)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_149 0)) :args ((or _let_159 _let_149))) _let_158 :args (_let_149 false _let_148)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.n0 tptp.n1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_153)) :args _let_151)) _let_152 :args (_let_150 false _let_11)) :args (_let_143 false _let_149 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_146 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.less_or_equal X tptp.n1)))) :args _let_145))) _let_146 :args (_let_144 false _let_9)) :args (_let_95 false _let_143 false _let_144)))) (let ((_let_161 (_let_85))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_161)) :args _let_161)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_83))) (REFL :args (_let_84)) :args _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_87)) :args ((or (not _let_86) _let_85 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_96 _let_100 _let_98 _let_94 _let_86 _let_92 (not _let_101)))) _let_160 _let_142 _let_141 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_134)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_135 _let_125 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.filling)) _let_130 (CONG (TRANS _let_114 (CONG (SYMM _let_132) _let_136 :args _let_137)) :args _let_131) _let_136 :args (APPLY_UF tptp.trajectory)) (TRUE_INTRO _let_135))) :args (_let_115 _let_116 _let_106))) :args (_let_116 _let_106 _let_115))) :args (true _let_134)) _let_125 _let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_118 _let_115 (not _let_119)))) _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_18 tptp.n0 tptp.n2 QUANTIFIERS_INST_E_MATCHING _let_123)) :args _let_122)) _let_121 :args (_let_119 false _let_120)) :args (_let_115 false _let_117 false _let_119)) :args (_let_93 false _let_116 false _let_106 false _let_115)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_111)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_108) (SCOPE 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false _let_277 false _let_326 false _let_494)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_328)) :args ((or _let_304 _let_327 _let_39 (not _let_328)))) _let_324 _let_493 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_281 :args (tptp.n1 tptp.n3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 QUANTIFIERS_INST_E_MATCHING _let_285)) :args _let_282)) _let_281 :args (_let_328 false _let_280)) :args (_let_39 false _let_303 false _let_326 false _let_328)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_305)) :args ((or _let_304 _let_302 _let_38 (not _let_305)))) _let_324 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_316)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_317 _let_319 _let_265 _let_247 _let_273) (SCOPE (TRUE_ELIM (TRANS (CONG _let_274 _let_250 :args _let_113) _let_321 _let_320 _let_318)) :args (_let_60 _let_307 _let_194 _let_195 _let_50))) :args (_let_195 _let_60 _let_307 _let_194 _let_50))) :args (true _let_316)) _let_247 _let_177 _let_315 _let_259 _let_182 :args (_let_301 false _let_195 false _let_60 false _let_307 false _let_194 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_281 :args (tptp.n1 tptp.n3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77 QUANTIFIERS_INST_E_MATCHING _let_285)) :args _let_282)) _let_281 :args (_let_305 false _let_280)) :args (_let_38 false _let_303 false _let_301 false _let_305)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_278 _let_276 _let_37 (not _let_279)))) _let_300 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_295)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_296 _let_247 _let_271) (SCOPE (TRUE_ELIM (TRANS (CONG _let_272 _let_268 :args _let_113) _let_298 _let_297)) :args (_let_286 _let_195 _let_52))) :args (_let_195 _let_286 _let_52))) :args (true _let_295)) _let_247 _let_294 _let_189 :args (_let_275 false _let_195 false _let_286 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_281 :args (tptp.n1 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 QUANTIFIERS_INST_E_MATCHING _let_285)) :args _let_282)) _let_281 :args (_let_279 false _let_280)) :args (_let_37 false _let_277 false _let_275 false _let_279)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_44)) :args ((or _let_43 _let_45 (not _let_44)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_269)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_273 _let_270 _let_271) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG _let_274 _let_272 :args _let_264) (FALSE_INTRO _let_270)) :args ((= _let_43 false)))) :args (_let_50 _let_192 _let_52))) :args (_let_192 _let_52 _let_50))) :args (true _let_269)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_192) _let_53))) (REFL :args ((not _let_52))) (REFL :args (_let_55)) (REFL :args (_let_54)) :args _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_191)) :args ((or _let_190 _let_192 (not _let_191)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_262)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_263 _let_265 _let_247 _let_125) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.n3)) (TRANS (CONG _let_132 _let_268 :args _let_137) _let_267 _let_266) :args _let_264) (FALSE_INTRO _let_263))) :args (_let_197 _let_194 _let_195 _let_116))) :args (_let_116 _let_195 _let_194 _let_197))) :args (true _let_262)) (CONG (REFL :args (_let_127)) _let_256 _let_261 (MACRO_SR_PRED_INTRO :args ((= (not _let_197) _let_193))) (REFL :args (_let_196)) :args _let_110)) :args ((or _let_127 _let_255 _let_196 _let_260 _let_193))) _let_125 _let_247 _let_259 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_198 1)) :args ((or _let_197 (not _let_198)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_200)) :args ((or (not _let_199) _let_198 (not _let_200)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_202)) :args ((or _let_199 (not _let_201) (not _let_202)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_210)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_211 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG _let_212 _let_114 :args (APPLY_UF tptp.less_or_equal)) (TRUE_INTRO _let_211))) :args (_let_206 _let_106))) :args (_let_106 _let_206))) :args (true _let_210)) _let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_208)) :args ((or _let_206 (not _let_207) (not _let_208)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_207 0)) :args ((or _let_78 _let_207))) _let_209 :args (_let_207 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_152 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_153)) :args _let_151))) _let_152 :args (_let_208 false _let_11)) :args (_let_206 false _let_207 false _let_208)) :args (_let_201 false _let_106 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_205)) :args _let_203)) _let_204 :args (_let_202 false _let_8)) :args (_let_199 false _let_201 false _let_202)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_170 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_172)) :args _let_171))) _let_170 :args (_let_200 false _let_169)) :args (_let_198 false _let_199 false _let_200)) :args (_let_197 false _let_198)) :args (_let_196 false _let_116 false _let_195 false _let_194 true _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.n3 _let_36 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_191 false _let_20)) :args (_let_192 true _let_190 false _let_191)) _let_189 _let_182 :args (_let_54 true _let_53 false _let_52 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_44 false _let_20)) :args (_let_45 true _let_43 false _let_44)) :args (false false _let_40 false _let_39 false _let_38 false _let_37 true _let_35)) :args (_let_34 (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_33 (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)))) _let_32 _let_31 (forall ((Fluent $$unsorted) (Time $$unsorted)) (=> (and (not (tptp.releasedAt Fluent Time)) (not (exists ((Event $$unsorted)) (and (tptp.happens Event Time) (tptp.releases Event Fluent Time))))) (not (tptp.releasedAt Fluent (tptp.plus Time tptp.n1))))) _let_30 (forall ((Event $$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_29 _let_28 _let_27 (forall ((Event $$unsorted) (Fluent $$unsorted) (Time $$unsorted)) (let ((_let_1 (= Fluent tptp.filling))) (= (tptp.terminates Event Fluent Time) (or (and (= Event tptp.tapOff) _let_1) (and (= Event tptp.overflow) _let_1))))) _let_26 _let_25 _let_24 _let_23 (not (= tptp.tapOff tptp.tapOn)) (not (= tptp.tapOff tptp.overflow)) (not (= tptp.overflow tptp.tapOn)) _let_22 _let_21 (not (= tptp.filling tptp.spilling)) _let_20 _let_19 _let_17 _let_15 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3) (= _let_13 tptp.n2) (= (tptp.plus tptp.n1 tptp.n2) tptp.n3) (= (tptp.plus tptp.n1 tptp.n3) tptp.n4) (= (tptp.plus tptp.n2 tptp.n2) tptp.n4) (= (tptp.plus tptp.n2 tptp.n3) tptp.n5) (= (tptp.plus tptp.n3 tptp.n3) tptp.n6) _let_12 _let_11 (not (exists ((X $$unsorted)) (tptp.less X tptp.n0))) _let_10 _let_9 _let_8 (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))) _let_7 _let_6 _let_5 (not (tptp.holdsAt tptp.spilling tptp.n0)) (forall ((Height $$unsorted)) (not (tptp.releasedAt (tptp.waterLevel Height) tptp.n0))) (not (tptp.releasedAt tptp.filling tptp.n0)) (not (tptp.releasedAt tptp.spilling tptp.n0)) _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.90/1.12 )
% 0.90/1.12 % SZS output end Proof for CSR008+1
% 0.90/1.12 % cvc5---1.0.5 exiting
% 0.90/1.12 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------