%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CSR002+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 21:04:26 EDT 2023

% Result   : Theorem 25.80s 26.38s
% Output   : Proof 26.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : CSR002+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.12/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Aug 28 14:04:24 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 25.80/26.38  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vXeqXbhdPF/cvc5---1.0.5_23663.p...
% 25.80/26.38  ------- get file name : TPTP file name is CSR002+2
% 25.80/26.38  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23663.smt2...
% 25.80/26.38  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.80/26.38  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.80/26.38  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.80/26.38  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.80/26.38  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.80/26.38  % SZS status Theorem for CSR002+2
% 25.80/26.38  % SZS output start Proof for CSR002+2
% 25.80/26.38  (
% 25.80/26.38  (let ((_let_1 (tptp.holdsAt tptp.filling tptp.n4))) (let ((_let_2 (not (not _let_1)))) (let ((_let_3 (tptp.holdsAt (tptp.waterLevel tptp.n3) tptp.n3))) (let ((_let_4 (tptp.releasedAt tptp.filling tptp.n0))) (let ((_let_5 (not _let_4))) (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.n2) (tptp.less_or_equal X tptp.n1))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.less X tptp.n1) (tptp.less_or_equal X tptp.n0))))) (let ((_let_9 (not (exists ((X $$unsorted)) (tptp.less X tptp.n0))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.less_or_equal X Y) (or (tptp.less X Y) (= X Y)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.plus X Y) (tptp.plus Y X))))) (let ((_let_12 (tptp.plus tptp.n3 tptp.n3))) (let ((_let_13 (= _let_12 tptp.n6))) (let ((_let_14 (tptp.plus tptp.n2 tptp.n3))) (let ((_let_15 (= _let_14 tptp.n5))) (let ((_let_16 (tptp.plus tptp.n1 tptp.n3))) (let ((_let_17 (= _let_16 tptp.n4))) (let ((_let_18 (tptp.plus tptp.n1 tptp.n2))) (let ((_let_19 (= _let_18 tptp.n3))) (let ((_let_20 (tptp.plus tptp.n1 tptp.n1))) (let ((_let_21 (= _let_20 tptp.n2))) (let ((_let_22 (tptp.plus tptp.n0 tptp.n3))) (let ((_let_23 (= _let_22 tptp.n3))) (let ((_let_24 (tptp.plus tptp.n0 tptp.n2))) (let ((_let_25 (= _let_24 tptp.n2))) (let ((_let_26 (tptp.plus tptp.n0 tptp.n1))) (let ((_let_27 (= _let_26 tptp.n1))) (let ((_let_28 (forall ((X $$unsorted)) (not (= tptp.filling (tptp.waterLevel X)))))) (let ((_let_29 (forall ((Event $$unsorted) (Time $$unsorted)) (= (tptp.happens Event Time) (or (and (= Event tptp.tapOn) (= Time tptp.n0)) (and (tptp.holdsAt (tptp.waterLevel tptp.n3) Time) (tptp.holdsAt tptp.filling Time) (= Event tptp.overflow))))))) (let ((_let_30 (forall ((Event $$unsorted) (Fluent $$unsorted) (Time $$unsorted)) (= (tptp.releases Event Fluent Time) (exists ((Height $$unsorted)) (and (= Event tptp.tapOn) (= Fluent (tptp.waterLevel Height)))))))) (let ((_let_31 (forall ((Event $$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 ((_let_32 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (tptp.terminates Event Fluent Time)) (not (tptp.holdsAt Fluent (tptp.plus Time tptp.n1))))))) (let ((_let_33 (forall ((Fluent $$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_34 (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 $$unsorted)) (and (tptp.happens Event Time) (tptp.initiates Event Fluent Time))))) (not (tptp.holdsAt Fluent _let_1))))))) (let ((_let_35 (tptp.plus tptp.n1 _let_20))) (let ((_let_36 (tptp.plus _let_35 _let_35))) (let ((_let_37 (tptp.less tptp.n0 _let_36))) (let ((_let_38 (tptp.less_or_equal tptp.n0 (tptp.plus _let_20 _let_35)))) (let ((_let_39 (= _let_38 _let_37))) (let ((_let_40 (forall ((X $$unsorted)) (let ((_let_1 (tptp.plus tptp.n1 tptp.n1))) (let ((_let_2 (tptp.plus tptp.n1 _let_1))) (= (tptp.less_or_equal X (tptp.plus _let_1 _let_2)) (tptp.less X (tptp.plus _let_2 _let_2)))))))) (let ((_let_41 (SYMM (ASSUME :args (_let_21))))) (let ((_let_42 (EQ_RESOLVE (SYMM (ASSUME :args (_let_19))) (MACRO_SR_EQ_INTRO _let_41 :args ((= tptp.n3 _let_18) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (EQ_RESOLVE (SYMM (ASSUME :args (_let_17))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_42 _let_41) :args ((= tptp.n4 _let_16) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (EQ_RESOLVE (SYMM (ASSUME :args (_let_15))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_43 _let_42 _let_41) :args ((= tptp.n5 _let_14) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (AND_INTRO (EQ_RESOLVE (SYMM (ASSUME :args (_let_13))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_44 _let_43 _let_42 _let_41) :args ((= tptp.n6 _let_12) SB_DEFAULT SBA_FIXPOINT))) _let_44 _let_43 _let_42 _let_41))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO _let_45 :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (tptp.less tptp.n0 tptp.n0))) (let ((_let_48 (tptp.plus tptp.n0 _let_35))) (let ((_let_49 (= _let_48 (tptp.plus _let_35 tptp.n0)))) (let ((_let_50 (= tptp.n0 _let_35))) (let ((_let_51 (= _let_35 _let_48))) (let ((_let_52 (not _let_37))) (let ((_let_53 (forall ((X $$unsorted)) (not (tptp.less X tptp.n0))))) (let ((_let_54 (not _let_47))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_11))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.plus X Y)))) (let ((_let_59 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) _let_50))) (let ((_let_60 (tptp.holdsAt tptp.filling _let_35))) (let ((_let_61 (tptp.holdsAt (tptp.waterLevel _let_35) _let_35))) (let ((_let_62 (and _let_61 _let_60 (= tptp.overflow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38)))) (let ((_let_63 (or _let_59 _let_62))) (let ((_let_64 (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 _let_35))) (let ((_let_65 (= _let_64 _let_63))) (let ((_let_66 (forall ((Event $$unsorted) (Time $$unsorted)) (= (tptp.happens Event Time) (or (and (= tptp.tapOn Event) (= tptp.n0 Time)) (and (tptp.holdsAt (tptp.waterLevel (tptp.plus tptp.n1 (tptp.plus tptp.n1 tptp.n1))) Time) (tptp.holdsAt tptp.filling Time) (= tptp.overflow Event))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_29)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_45 :args ((forall ((Event $$unsorted) (Time $$unsorted)) (= (tptp.happens Event Time) (or (and (= tptp.tapOn Event) (= tptp.n0 Time)) (and (tptp.holdsAt (tptp.waterLevel tptp.n3) Time) (tptp.holdsAt tptp.filling Time) (= tptp.overflow Event))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_68 (_let_66))) (let ((_let_69 (not _let_64))) (let ((_let_70 (or _let_69 (not (tptp.initiates SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 tptp.filling _let_35))))) (let ((_let_71 (forall ((Event $$unsorted)) (let ((_let_1 (tptp.plus tptp.n1 (tptp.plus tptp.n1 tptp.n1)))) (or (not (tptp.happens Event _let_1)) (not (tptp.initiates Event tptp.filling _let_1))))))) (let ((_let_72 (not _let_70))) (let ((_let_73 (tptp.plus _let_35 tptp.n1))) (let ((_let_74 (tptp.holdsAt tptp.filling _let_73))) (let ((_let_75 (not _let_74))) (let ((_let_76 (not _let_71))) (let ((_let_77 (tptp.releasedAt tptp.filling _let_73))) (let ((_let_78 (or _let_60 _let_77 _let_76 _let_75))) (let ((_let_79 (forall ((Fluent $$unsorted) (Time $$unsorted)) (let ((_let_1 (tptp.plus Time tptp.n1))) (or (tptp.holdsAt Fluent Time) (tptp.releasedAt Fluent _let_1) (not (forall ((Event $$unsorted)) (or (not (tptp.happens Event Time)) (not (tptp.initiates Event Fluent Time))))) (not (tptp.holdsAt Fluent _let_1))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (tptp.plus tptp.n1 _let_35))) (let ((_let_82 (= _let_81 _let_73))) (let ((_let_83 (tptp.holdsAt tptp.filling _let_81))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_45 :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_85 (and _let_83 _let_82))) (let ((_let_86 (_let_83 _let_82))) (let ((_let_87 (ASSUME :args (_let_82)))) (let ((_let_88 (REFL :args (tptp.filling)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_84 _let_87) (SCOPE (TRUE_ELIM (TRANS (CONG _let_88 (SYMM _let_87) :args (APPLY_UF tptp.holdsAt)) (TRUE_INTRO _let_84))) :args _let_86)) :args _let_86)) :args (true _let_85)) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.n1 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_82 false _let_11)) :args (_let_74 false _let_83 false _let_82)))) (let ((_let_90 (not _let_77))) (let ((_let_91 (forall ((Event $$unsorted)) (let ((_let_1 (tptp.plus tptp.n1 (tptp.plus tptp.n1 tptp.n1)))) (or (not (tptp.happens Event _let_1)) (not (tptp.releases Event tptp.filling _let_1))))))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.releasedAt tptp.filling _let_35))) (let ((_let_94 (or _let_93 _let_92 _let_90))) (let ((_let_95 (forall ((Fluent $$unsorted) (Time $$unsorted)) (or (tptp.releasedAt Fluent Time) (not (forall ((Event $$unsorted)) (or (not (tptp.happens Event Time)) (not (tptp.releases Event Fluent Time))))) (not (tptp.releasedAt Fluent (tptp.plus Time tptp.n1))))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (_let_95))) (let ((_let_98 ((not (= (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)) false))))) (let ((_let_99 (tptp.releases SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.filling _let_35))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or (not (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_35)) _let_100))) (let ((_let_102 (forall ((Height $$unsorted)) (not (= tptp.filling (tptp.waterLevel Height)))))) (let ((_let_103 (not _let_102))) (let ((_let_104 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_103))) (let ((_let_105 (= _let_99 _let_104))) (let ((_let_106 (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_107 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (_let_106))) (let ((_let_109 (not _let_104))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_28 (= X Height)))) (ASSUME :args (_let_28)) :args (_let_102 false _let_28)))) (let ((_let_111 (or))) (let ((_let_112 (_let_92))) (let ((_let_113 (tptp.plus _let_20 tptp.n1))) (let ((_let_114 (tptp.releasedAt tptp.filling _let_113))) (let ((_let_115 (= _let_35 _let_113))) (let ((_let_116 (not _let_93))) (let ((_let_117 (not _let_114))) (let ((_let_118 (forall ((Event $$unsorted)) (let ((_let_1 (tptp.plus tptp.n1 tptp.n1))) (or (not (tptp.happens Event _let_1)) (not (tptp.releases Event tptp.filling _let_1))))))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.releasedAt tptp.filling _let_20))) (let ((_let_121 (or _let_120 _let_119 _let_117))) (let ((_let_122 (tptp.releases SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 tptp.filling _let_20))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or (not (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 _let_20)) _let_123))) (let ((_let_125 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22) _let_103))) (let ((_let_126 (= _let_122 _let_125))) (let ((_let_127 (not _let_125))) (let ((_let_128 (_let_119))) (let ((_let_129 (not _let_120))) (let ((_let_130 (forall ((Event $$unsorted)) (or (not (tptp.happens Event tptp.n1)) (not (tptp.releases Event tptp.filling tptp.n1)))))) (let ((_let_131 (not _let_130))) (let ((_let_132 (tptp.releasedAt tptp.filling tptp.n1))) (let ((_let_133 (or _let_132 _let_131 _let_129))) (let ((_let_134 (tptp.releases SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 tptp.filling tptp.n1))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or (not (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 tptp.n1)) _let_135))) (let ((_let_137 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) _let_103))) (let ((_let_138 (= _let_134 _let_137))) (let ((_let_139 (not _let_137))) (let ((_let_140 (_let_131))) (let ((_let_141 (tptp.releasedAt tptp.filling _let_26))) (let ((_let_142 (= tptp.n1 _let_26))) (let ((_let_143 (not _let_132))) (let ((_let_144 (not _let_141))) (let ((_let_145 (forall ((Event $$unsorted)) (or (not (tptp.happens Event tptp.n0)) (not (tptp.releases Event tptp.filling tptp.n0)))))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_4 _let_146 _let_144))) (let ((_let_148 (tptp.releases SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 tptp.filling tptp.n0))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or (not (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 tptp.n0)) _let_149))) (let ((_let_151 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) _let_103))) (let ((_let_152 (= _let_148 _let_151))) (let ((_let_153 (not _let_151))) (let ((_let_154 (_let_146))) (let ((_let_155 (SYMM (ASSUME :args (_let_27))))) (let ((_let_156 (and _let_142 _let_144))) (let ((_let_157 (ASSUME :args (_let_144)))) (let ((_let_158 (APPLY_UF tptp.releasedAt))) (let ((_let_159 (and _let_115 _let_93))) (let ((_let_160 (ASSUME :args (_let_93)))) (let ((_let_161 (ASSUME :args (_let_115)))) (let ((_let_162 (and _let_61 _let_60))) (let ((_let_163 (not _let_60))) (let ((_let_164 (or (and (= tptp.tapOn tptp.overflow) _let_50) _let_162))) (let ((_let_165 (tptp.happens tptp.overflow _let_35))) (let ((_let_166 (= _let_165 _let_164))) (let ((_let_167 (not _let_164))) (let ((_let_168 (tptp.terminates tptp.overflow tptp.filling _let_35))) (let ((_let_169 (not _let_168))) (let ((_let_170 (not _let_165))) (let ((_let_171 (or _let_170 _let_169 _let_75))) (let ((_let_172 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (or (not (tptp.happens Event Time)) (not (tptp.terminates Event Fluent Time)) (not (tptp.holdsAt Fluent (tptp.plus Time tptp.n1))))))) (let ((_let_173 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_174 (forall ((Event $$unsorted) (Fluent $$unsorted) (Time $$unsorted)) (let ((_let_1 (= tptp.filling Fluent))) (= (tptp.terminates Event Fluent Time) (or (and (= tptp.tapOff Event) _let_1) (and (= tptp.overflow Event) _let_1))))))) (let ((_let_175 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_162)) :args ((or (not _let_61) _let_163 _let_162))) (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO _let_45 :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_164 1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_166)) :args ((or _let_165 _let_167 (not _let_166)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_75 _let_169 _let_170 (not _let_171)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_175 :args (tptp.overflow tptp.filling _let_35 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_174)))) _let_175 :args (_let_168 false _let_174)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (tptp.overflow _let_35 tptp.filling QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.terminates Event Fluent Time) false))))) :args (_let_172))) _let_173 :args (_let_171 false _let_172)) :args (_let_170 false _let_74 false _let_168 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.overflow _let_35 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_68))) _let_67 :args (_let_166 false _let_66)) :args (_let_167 true _let_165 false _let_166)) :args ((not _let_162) true _let_164)) :args (_let_163 false _let_61 true _let_162)))) (let ((_let_177 (_let_76))) (let ((_let_178 (not _let_62))) (let ((_let_179 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_59 1)) :args ((or _let_50 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_59 _let_62 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 1)) :args 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:args (_let_49 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less X tptp.n0) false))))) :args (_let_53))) _let_55 :args (_let_54 false _let_53)) :args (_let_52 false _let_51 false _let_50 false _let_49 true _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.less X _let_36)))) :args (_let_40))) _let_46 :args (_let_39 false _let_40)) :args (false false _let_38 true _let_37 false _let_39)) :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)))) _let_34 (forall ((Fluent $$unsorted) (Time $$unsorted)) (=> (and (tptp.releasedAt Fluent Time) (not (exists ((Event $$unsorted)) (and (tptp.happens Event Time) (or (tptp.initiates Event Fluent Time) (tptp.terminates Event Fluent Time)))))) (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)))) _let_33 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (tptp.initiates Event Fluent Time)) (tptp.holdsAt Fluent (tptp.plus Time tptp.n1)))) _let_32 (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 $$unsorted)) (let ((_let_1 (tptp.waterLevel Height))) (and (tptp.holdsAt _let_1 Time) (= Event tptp.overflow) (= Fluent _let_1))))))) _let_31 _let_30 _let_29 (forall ((Height1 $$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_28 (forall ((X $$unsorted)) (not (= tptp.spilling (tptp.waterLevel X)))) (not (= tptp.filling tptp.spilling)) (forall ((X $$unsorted) (Y $$unsorted)) (= (= (tptp.waterLevel X) (tptp.waterLevel Y)) (= X Y))) (= (tptp.plus tptp.n0 tptp.n0) tptp.n0) _let_27 _let_25 _let_23 _let_21 _let_19 _let_17 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4) _let_15 _let_13 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((X $$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))) _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 $$unsorted)) (= (tptp.less X tptp.n9) (tptp.less_or_equal X tptp.n8))) (forall ((X $$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_5 (not (tptp.releasedAt tptp.spilling tptp.n0)) _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.15/26.38  )
% 26.15/26.38  % SZS output end Proof for CSR002+2
% 26.15/26.38  % cvc5---1.0.5 exiting
% 26.15/26.38  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------