TSTP Solution File: CSR005+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CSR005+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 32.66s 32.86s
% Output   : Proof 32.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem    : CSR005+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.16  % Command    : do_cvc5 %s %d
% 0.17/0.38  % Computer : n019.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Mon Aug 28 12:54:43 EDT 2023
% 0.17/0.38  % CPUTime    : 
% 0.25/0.54  %----Proving TF0_NAR, FOF, or CNF
% 32.66/32.86  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WgMTWgUUNL/cvc5---1.0.5_22712.p...
% 32.66/32.86  ------- get file name : TPTP file name is CSR005+1
% 32.66/32.86  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22712.smt2...
% 32.66/32.86  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 32.66/32.86  --- Run --no-e-matching --full-saturate-quant at 5...
% 32.66/32.86  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 32.66/32.86  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 32.66/32.86  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 32.66/32.86  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 32.66/32.86  % SZS status Theorem for CSR005+1
% 32.66/32.86  % SZS output start Proof for CSR005+1
% 32.66/32.86  (
% 32.66/32.86  (let ((_let_1 (not (tptp.holdsAt tptp.filling tptp.n3)))) (let ((_let_2 (forall ((Height $$unsorted)) (not (tptp.releasedAt (tptp.waterLevel Height) tptp.n0))))) (let ((_let_3 (tptp.holdsAt tptp.filling tptp.n0))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.waterLevel tptp.n0))) (let ((_let_6 (tptp.holdsAt _let_5 tptp.n0))) (let ((_let_7 (forall ((X $$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.n8) (tptp.less_or_equal X tptp.n7))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.less X tptp.n7) (tptp.less_or_equal X tptp.n6))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.less X tptp.n6) (tptp.less_or_equal X tptp.n5))))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.less X tptp.n5) (tptp.less_or_equal X tptp.n4))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.less X tptp.n4) (tptp.less_or_equal X tptp.n3))))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.less X tptp.n3) (tptp.less_or_equal X tptp.n2))))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.less X tptp.n2) (tptp.less_or_equal X tptp.n1))))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.less X tptp.n1) (tptp.less_or_equal X tptp.n0))))) (let ((_let_16 (not (exists ((X $$unsorted)) (tptp.less X tptp.n0))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.less_or_equal X Y) (or (tptp.less X Y) (= X Y)))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.plus X Y) (tptp.plus Y X))))) (let ((_let_19 (tptp.plus tptp.n3 tptp.n3))) (let ((_let_20 (= _let_19 tptp.n6))) (let ((_let_21 (tptp.plus tptp.n2 tptp.n3))) (let ((_let_22 (= _let_21 tptp.n5))) (let ((_let_23 (tptp.plus tptp.n1 tptp.n3))) (let ((_let_24 (= _let_23 tptp.n4))) (let ((_let_25 (tptp.plus tptp.n1 tptp.n2))) (let ((_let_26 (= _let_25 tptp.n3))) (let ((_let_27 (tptp.plus tptp.n1 tptp.n1))) (let ((_let_28 (= _let_27 tptp.n2))) (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 (= tptp.filling tptp.spilling))) (let ((_let_36 (forall ((X $$unsorted)) (not (= tptp.filling (tptp.waterLevel X)))))) (let ((_let_37 (forall ((Time $$unsorted) (Height1 $$unsorted) (Height2 $$unsorted)) (=> (and (tptp.holdsAt (tptp.waterLevel Height1) Time) (tptp.holdsAt (tptp.waterLevel Height2) Time)) (= Height1 Height2))))) (let ((_let_38 (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_39 (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_40 (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_41 (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 $$unsorted)) (let ((_let_1 (tptp.waterLevel Height))) (and (tptp.holdsAt _let_1 Time) (= Event tptp.overflow) (= Fluent _let_1))))))))) (let ((_let_42 (forall ((Event $$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_43 (forall ((Event $$unsorted) (Time $$unsorted) (Fluent $$unsorted)) (=> (and (tptp.happens Event Time) (tptp.releases Event Fluent Time)) (tptp.releasedAt Fluent (tptp.plus Time tptp.n1)))))) (let ((_let_44 (forall ((Event $$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_45 (forall ((Fluent $$unsorted) (Time $$unsorted)) (=> (and (not (tptp.releasedAt Fluent Time)) (not (exists ((Event $$unsorted)) (and (tptp.happens Event Time) (tptp.releases Event Fluent Time))))) (not (tptp.releasedAt Fluent (tptp.plus Time tptp.n1))))))) (let ((_let_46 (forall ((Fluent $$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_47 (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 $$unsorted)) (and (tptp.happens Event Time) (tptp.terminates Event Fluent Time))))) (tptp.holdsAt Fluent _let_1)))))) (let ((_let_48 (forall ((Event $$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_49 (forall ((Time1 $$unsorted) (Fluent $$unsorted) (Time2 $$unsorted)) (= (tptp.stoppedIn Time1 Fluent Time2) (exists ((Event $$unsorted) (Time $$unsorted)) (and (tptp.happens Event Time) (tptp.less Time1 Time) (tptp.less Time Time2) (tptp.terminates Event Fluent Time))))))) (let ((_let_50 (tptp.plus tptp.n1 _let_27))) (let ((_let_51 (tptp.plus _let_27 _let_50))) (let ((_let_52 (= _let_51 (tptp.plus _let_50 _let_27)))) (let ((_let_53 (tptp.plus _let_50 _let_50))) (let ((_let_54 (= _let_51 _let_53))) (let ((_let_55 (= _let_27 _let_50))) (let ((_let_56 (_let_18))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.plus X Y)))) (let ((_let_59 (tptp.less _let_53 _let_51))) (let ((_let_60 (or _let_59 _let_54))) (let ((_let_61 (tptp.less_or_equal _let_53 _let_51))) (let ((_let_62 (= _let_61 _let_60))) (let ((_let_63 (not _let_60))) (let ((_let_64 (_let_17))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (tptp.less _let_53 _let_53))) (let ((_let_67 (= _let_61 _let_66))) (let ((_let_68 (not _let_61))) (let ((_let_69 (forall ((X $$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_70 (SYMM (ASSUME :args (_let_28))))) (let ((_let_71 (EQ_RESOLVE (SYMM (ASSUME :args (_let_26))) (MACRO_SR_EQ_INTRO _let_70 :args ((= tptp.n3 _let_25) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (EQ_RESOLVE (SYMM (ASSUME :args (_let_24))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_71 _let_70) :args ((= tptp.n4 _let_23) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (EQ_RESOLVE (SYMM (ASSUME :args (_let_22))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_72 _let_71 _let_70) :args ((= tptp.n5 _let_21) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (AND_INTRO (EQ_RESOLVE (SYMM (ASSUME :args (_let_20))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_73 _let_72 _let_71 _let_70) :args ((= tptp.n6 _let_19) SB_DEFAULT SBA_FIXPOINT))) _let_73 _let_72 _let_71 _let_70))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO _let_74 :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_69))) (let ((_let_77 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.less X Y) (and (not (tptp.less Y X)) (not (= X Y))))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_62)) :args ((or _let_61 _let_63 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or _let_66 _let_68 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_53 _let_53 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_79))) _let_78 :args ((not _let_66) false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_53 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_76)) _let_75 :args (_let_67 false _let_69)) :args (_let_68 true _let_66 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_53 _let_51 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_64))) _let_65 :args (_let_62 false _let_17)) :args (_let_63 true _let_61 false _let_62)))) (let ((_let_81 (tptp.plus tptp.n0 _let_27))) (let ((_let_82 (tptp.stoppedIn tptp.n0 tptp.filling _let_81))) (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.plus tptp.n1 tptp.n1)))) (not (tptp.terminates Event tptp.filling Time)))))) (let ((_let_84 (not _let_83))) (let ((_let_85 (= _let_82 _let_84))) (let ((_let_86 (not _let_82))) (let ((_let_87 (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_88 (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 ((tptp.stoppedIn Time1 Fluent Time2)))) (let ((_let_91 (tptp.terminates SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_90 tptp.filling SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 _let_81))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.less tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_90 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_96 _let_94 _let_92))) (let ((_let_100 (tptp.waterLevel _let_50))) (let ((_let_101 (tptp.holdsAt _let_100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91))) (let ((_let_102 (and _let_101 (tptp.holdsAt tptp.filling SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91) (= tptp.overflow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_90)))) (let ((_let_103 (= tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91))) (let ((_let_104 (and (= tptp.tapOn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_90) _let_103))) (let ((_let_105 (or _let_104 _let_102))) (let ((_let_106 (= _let_97 _let_105))) (let ((_let_107 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 _let_33))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_98 _let_96 _let_108 _let_92))) (let ((_let_110 (not _let_103))) (let ((_let_111 (and (not (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 tptp.n0)) _let_110))) (let ((_let_112 (= _let_95 _let_111))) (let ((_let_113 (= _let_27 _let_81))) (let ((_let_114 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 _let_27))) (let ((_let_115 (tptp.less_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 tptp.n1))) (let ((_let_116 (= _let_115 _let_114))) (let ((_let_117 (= tptp.n0 _let_33))) (let ((_let_118 (= _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91))) (let ((_let_119 (= tptp.n1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91))) (let ((_let_120 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 tptp.n1))) (let ((_let_121 (or _let_120 _let_119))) (let ((_let_122 (= _let_115 _let_121))) (let ((_let_123 (or _let_107 _let_118))) (let ((_let_124 (tptp.less_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 _let_33))) (let ((_let_125 (= _let_124 _let_123))) (let ((_let_126 (tptp.less_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 tptp.n0))) (let ((_let_127 (= _let_120 _let_126))) (let ((_let_128 (tptp.holdsAt _let_100 tptp.n1))) (let ((_let_129 (or))) (let ((_let_130 (REFL :args (_let_99)))) (let ((_let_131 (forall ((Event $$unsorted) (Time $$unsorted)) (= (tptp.happens Event Time) (or (and (= tptp.tapOn Event) (= tptp.n0 Time)) (and (tptp.holdsAt (tptp.waterLevel (tptp.plus tptp.n1 (tptp.plus tptp.n1 tptp.n1))) Time) (tptp.holdsAt tptp.filling Time) (= tptp.overflow Event))))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_39)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_74 :args ((forall ((Event $$unsorted) (Time $$unsorted)) (= (tptp.happens Event Time) (or (and (= tptp.tapOn Event) (= tptp.n0 Time)) (and (tptp.holdsAt (tptp.waterLevel tptp.n3) Time) (tptp.holdsAt tptp.filling Time) (= tptp.overflow Event))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_133 (_let_131))) (let ((_let_134 (forall ((Event $$unsorted) (Time $$unsorted)) (or (not (tptp.happens Event Time)) (not (tptp.less tptp.n0 Time)) (not (tptp.less Time (tptp.plus tptp.n0 tptp.n0))) (not (tptp.terminates Event tptp.filling Time)))))) (let ((_let_135 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 _let_33))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or (not (tptp.happens SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78)) (not (tptp.less tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78)) _let_136 (not (tptp.terminates SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_77 tptp.filling SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78))))) (let ((_let_138 (tptp.less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 tptp.n0))) (let ((_let_139 (forall ((X $$unsorted)) (not (tptp.less X tptp.n0))))) (let ((_let_140 (not _let_138))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (SYMM (ASSUME :args (_let_34))))) (let ((_let_143 (not _let_117))) (let ((_let_144 (REFL :args (_let_143)))) (let ((_let_145 (and _let_117 _let_140))) (let ((_let_146 (ASSUME :args (_let_140)))) (let ((_let_147 (APPLY_UF tptp.less))) (let ((_let_148 (SYMM _let_142))) (let ((_let_149 (not _let_134))) (let ((_let_150 (_let_149))) (let ((_let_151 (_let_134))) (let ((_let_152 ((tptp.less X Y)))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_30)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_74 :args ((= tptp.n2 _let_29) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_154 (and _let_113 _let_93))) (let ((_let_155 (ASSUME :args (_let_93)))) (let ((_let_156 (SYMM _let_153))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91)))) (let ((_let_159 (forall ((X $$unsorted)) (= (tptp.less_or_equal X tptp.n1) (tptp.less X (tptp.plus tptp.n1 tptp.n1)))))) (let ((_let_160 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO _let_74 :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_161 (_let_159))) (let ((_let_162 (and _let_117 _let_110))) (let ((_let_163 (ASSUME :args (_let_110)))) (let ((_let_164 ((tptp.less_or_equal X Y)))) (let ((_let_165 ((tptp.less X Y)))) (let ((_let_166 (not _let_124))) (let ((_let_167 (and _let_117 _let_166))) (let ((_let_168 (ASSUME :args (_let_166)))) (let ((_let_169 (_let_15))) (let ((_let_170 (ASSUME :args _let_169))) (let ((_let_171 (= tptp.n1 _let_50))) (let ((_let_172 (tptp.waterLevel tptp.n1))) (let ((_let_173 (tptp.holdsAt _let_172 tptp.n1))) (let ((_let_174 (not _let_173))) (let ((_let_175 (not _let_128))) (let ((_let_176 (or _let_175 _let_174 _let_171))) (let ((_let_177 (forall ((Time $$unsorted) (Height1 $$unsorted) (Height2 $$unsorted)) (or (not (tptp.holdsAt (tptp.waterLevel Height1) 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_let_101))) (REFL :args ((not _let_119))) :args _let_129)) _let_308 (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_120 _let_119 (not _let_121)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_127)) :args ((or (not _let_120) _let_126 (not _let_127)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_169)) _let_170 :args (_let_127 false _let_15)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_167)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_168 _let_142) (SCOPE (FALSE_ELIM (TRANS (CONG _let_158 (SYMM _let_148) :args (APPLY_UF tptp.less_or_equal)) (FALSE_INTRO _let_168))) :args (_let_166 _let_117))) :args (_let_117 _let_166))) :args (true _let_167)) (CONG _let_144 (MACRO_SR_PRED_INTRO :args ((= (not _let_166) _let_124))) (REFL :args ((not _let_126))) :args _let_129)) _let_142 (REORDERING (CNF_EQUIV_POS1 :args (_let_125)) :args ((or _let_123 _let_166 (not _let_125)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_165)) :args _let_64))) _let_65 :args (_let_125 false _let_17)) (REORDERING (CNF_AND_POS :args (_let_102 0)) :args ((or _let_101 (not _let_102)))) (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_107 _let_118 (not _let_123)))) (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_102 (not _let_105)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_122)) :args ((or (not _let_115) _let_121 (not _let_122)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 tptp.n1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_64))) _let_65 :args (_let_122 false _let_17)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_162)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_163 _let_142) (SCOPE (FALSE_ELIM (TRANS (CONG _let_148 _let_158 :args (=)) (FALSE_INTRO _let_163))) :args (_let_110 _let_117))) :args (_let_117 _let_110))) :args (true _let_162)) (CONG _let_144 (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_103))) (REFL :args ((not _let_118))) :args _let_129)) _let_142 (REORDERING (CNF_AND_POS :args (_let_104 1)) :args ((or _let_103 (not _let_104)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_116)) :args ((or _let_115 (not _let_114) (not _let_116)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.less X _let_27)))) :args _let_161)) _let_160 :args (_let_116 false _let_159)) (REORDERING (CNF_AND_POS :args (_let_111 1)) :args ((or _let_110 (not _let_111)))) (RESOLUTION (CNF_AND_NEG :args (_let_154)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_155 _let_153) (SCOPE (TRUE_ELIM (TRANS (CONG _let_158 _let_157 :args _let_147) (TRUE_INTRO _let_155))) :args (_let_93 _let_113))) :args (_let_113 _let_93))) :args (true _let_154)) _let_153 (REORDERING (CNF_EQUIV_POS1 :args (_let_112)) :args ((or _let_96 _let_111 (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_152)) :args _let_79)) _let_78 :args (_let_112 false _let_77)) (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_98 _let_96 _let_92 _let_108 (not _let_109)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_151) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_90 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.happens Event Time) false))))) :args _let_151)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_150)) :args _let_150)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_149) _let_134))) (REFL :args ((not _let_137))) :args _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_137 2)) (CONG (REFL :args (_let_137)) (MACRO_SR_PRED_INTRO :args ((= (not _let_136) _let_135))) :args _let_129)) :args ((or _let_135 _let_137))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_145)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_146 _let_142) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78)) _let_148 :args _let_147) (FALSE_INTRO _let_146))) :args (_let_140 _let_117))) :args (_let_117 _let_140))) :args (true _let_145)) (CONG _let_144 (MACRO_SR_PRED_INTRO :args ((= (not _let_140) _let_138))) (REFL :args (_let_136)) :args _let_129)) :args ((or _let_143 _let_136 _let_138))) _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_139))) _let_141 :args (_let_140 false _let_139)) :args (_let_136 false _let_117 true _let_138)) :args (_let_137 true _let_135)) :args (_let_134 false _let_137)) :args (_let_109 false _let_134)) (REORDERING (CNF_EQUIV_POS1 :args (_let_106)) :args ((or _let_98 _let_105 (not _let_106)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_90 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_133)) _let_132 :args (_let_106 false _let_131)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 3)) (CONG _let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_91))) :args _let_129)) :args ((or _let_91 _let_99))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 2)) (CONG _let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))) :args _let_129)) :args ((or _let_93 _let_99))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 1)) (CONG _let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) :args _let_129)) :args ((or _let_95 _let_99))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 0)) (CONG _let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_97))) :args _let_129)) :args ((or _let_97 _let_99))) :args (_let_99 true _let_128 false _let_119 true _let_120 false _let_127 true _let_126 false _let_117 true _let_124 false _let_125 false _let_101 true _let_123 false _let_102 false _let_121 false _let_122 true _let_118 false _let_117 true _let_104 false _let_115 false _let_116 true _let_103 false _let_114 false _let_113 false _let_111 false _let_112 true _let_107 false _let_109 false _let_105 false _let_106 false _let_91 false _let_93 false _let_95 false _let_97)) :args (_let_83 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.n0 tptp.filling _let_81 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_85 false _let_87)) :args (_let_86 false _let_83 false _let_85)) :args (_let_55 true _let_82)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 1)) _let_80 :args ((not _let_54) true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_27 _let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_52 false _let_18)) :args (false false _let_55 true _let_54 false _let_52)) :args (_let_49 (forall ((Time1 $$unsorted) (Time2 $$unsorted) (Fluent $$unsorted)) (= (tptp.startedIn Time1 Fluent Time2) (exists ((Event $$unsorted) (Time $$unsorted)) (and (tptp.happens Event Time) (tptp.less Time1 Time) (tptp.less Time Time2) (tptp.initiates Event Fluent Time))))) _let_48 (forall ((Event $$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_47 (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 $$unsorted)) (and (tptp.happens Event Time) (tptp.initiates Event Fluent Time))))) (not (tptp.holdsAt Fluent _let_1))))) _let_46 _let_45 _let_44 (forall ((Event $$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_43 _let_42 _let_41 (forall ((Event $$unsorted) (Fluent $$unsorted) (Time $$unsorted)) (let ((_let_1 (= Fluent tptp.filling))) (= (tptp.terminates Event Fluent Time) (or (and (= Event tptp.tapOff) _let_1) (and (= Event tptp.overflow) _let_1))))) _let_40 _let_39 _let_38 _let_37 (not (= tptp.tapOff tptp.tapOn)) (not (= tptp.tapOff tptp.overflow)) (not (= tptp.overflow tptp.tapOn)) _let_36 (forall ((X $$unsorted)) (not (= tptp.spilling (tptp.waterLevel X)))) (not _let_35) (forall ((X $$unsorted) (Y $$unsorted)) (= (= (tptp.waterLevel X) (tptp.waterLevel Y)) (= X Y))) _let_34 _let_32 _let_30 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3) _let_28 _let_26 _let_24 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4) _let_22 _let_20 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((X $$unsorted)) (= (tptp.less X tptp.n9) (tptp.less_or_equal X tptp.n8))) _let_7 _let_6 _let_4 (not (tptp.holdsAt tptp.spilling tptp.n0)) _let_2 (not (tptp.releasedAt tptp.filling tptp.n0)) (not (tptp.releasedAt tptp.spilling tptp.n0)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 32.66/32.87  )
% 32.66/32.87  % SZS output end Proof for CSR005+1
% 32.66/32.87  % cvc5---1.0.5 exiting
% 32.66/32.87  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------