TSTP Solution File: PUZ008-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% 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 : Thu Aug 31 13:12:51 EDT 2023

% Result   : Unsatisfiable 1.35s 1.59s
% Output   : Proof 1.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 22:52:11 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.zy9OlHgnYT/cvc5---1.0.5_31524.p...
% 0.21/0.51  ------- get file name : TPTP file name is PUZ008-3
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31524.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.35/1.59  % SZS status Unsatisfiable for PUZ008-3
% 1.35/1.59  % SZS output start Proof for PUZ008-3
% 1.35/1.59  (
% 1.35/1.59  (let ((_let_1 (forall ((X $$unsorted)) (let ((_let_1 (tptp.s (tptp.s (tptp.s tptp.n0))))) (not (tptp.achievable (tptp.west (tptp.m tptp.n0) (tptp.c tptp.n0)) X (tptp.east (tptp.m _let_1) (tptp.c _let_1)))))))) (let ((_let_2 (tptp.c tptp.n0))) (let ((_let_3 (tptp.m tptp.n0))) (let ((_let_4 (tptp.s tptp.n0))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.s _let_5))) (let ((_let_7 (tptp.c _let_6))) (let ((_let_8 (tptp.m _let_6))) (let ((_let_9 (tptp.achievable (tptp.west _let_8 _let_7) tptp.boatonwest (tptp.east _let_3 _let_2)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (or (not (tptp.achievable (tptp.west (tptp.m X) (tptp.c Y)) tptp.boatoneast (tptp.east (tptp.m (tptp.s Z)) (tptp.c (tptp.s W))))) (not (tptp.safe _let_2 _let_1)) (not (tptp.safe Z W)) (tptp.achievable (tptp.west (tptp.m _let_2) (tptp.c _let_1)) tptp.boatonwest (tptp.east (tptp.m Z) (tptp.c W))))))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.s W))) (let ((_let_2 (tptp.s Z))) (or (not (tptp.achievable (tptp.west (tptp.m (tptp.s X)) (tptp.c (tptp.s Y))) tptp.boatonwest (tptp.east (tptp.m Z) (tptp.c W)))) (not (tptp.safe X Y)) (not (tptp.safe _let_2 _let_1)) (tptp.achievable (tptp.west (tptp.m X) (tptp.c Y)) tptp.boatoneast (tptp.east (tptp.m _let_2) (tptp.c _let_1))))))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.c W))) (let ((_let_2 (tptp.s (tptp.s Z)))) (let ((_let_3 (tptp.c Y))) (or (not (tptp.achievable (tptp.west (tptp.m (tptp.s (tptp.s X))) _let_3) tptp.boatonwest (tptp.east (tptp.m Z) _let_1))) (not (tptp.safe X Y)) (not (tptp.safe _let_2 W)) (tptp.achievable (tptp.west (tptp.m X) _let_3) tptp.boatoneast (tptp.east (tptp.m _let_2) _let_1))))))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.c W))) (let ((_let_2 (tptp.c Y))) (let ((_let_3 (tptp.s X))) (or (not (tptp.achievable (tptp.west (tptp.m X) _let_2) tptp.boatoneast (tptp.east (tptp.m (tptp.s Z)) _let_1))) (not (tptp.safe _let_3 Y)) (not (tptp.safe Z W)) (tptp.achievable (tptp.west (tptp.m _let_3) _let_2) tptp.boatonwest (tptp.east (tptp.m Z) _let_1))))))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.s (tptp.s W)))) (let ((_let_2 (tptp.m Z))) (let ((_let_3 (tptp.m X))) (or (not (tptp.achievable (tptp.west _let_3 (tptp.c (tptp.s (tptp.s Y)))) tptp.boatonwest (tptp.east _let_2 (tptp.c W)))) (not (tptp.safe X Y)) (not (tptp.safe Z _let_1)) (tptp.achievable (tptp.west _let_3 (tptp.c Y)) tptp.boatoneast (tptp.east _let_2 (tptp.c _let_1)))))))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.m Z))) (let ((_let_2 (tptp.s Y))) (let ((_let_3 (tptp.m X))) (or (not (tptp.achievable (tptp.west _let_3 (tptp.c Y)) tptp.boatoneast (tptp.east _let_1 (tptp.c (tptp.s W))))) (not (tptp.safe X _let_2)) (not (tptp.safe Z W)) (tptp.achievable (tptp.west _let_3 (tptp.c _let_2)) tptp.boatonwest (tptp.east _let_1 (tptp.c W)))))))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.greater_or_equal (tptp.s X) (tptp.s Y)) (not (tptp.greater_or_equal X Y)))))) (let ((_let_17 (forall ((X $$unsorted)) (tptp.greater_or_equal X tptp.n0)))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.greater_or_equal X Y)) (tptp.safe X Y))))) (let ((_let_19 (forall ((X $$unsorted)) (tptp.safe tptp.n0 X)))) (let ((_let_20 (tptp.east _let_8 _let_7))) (let ((_let_21 (tptp.west _let_3 _let_2))) (let ((_let_22 (tptp.achievable _let_21 tptp.boatoneast _let_20))) (let ((_let_23 (_let_1))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (tptp.safe _let_6 _let_6))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.safe tptp.n0 tptp.n0))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c _let_5))) (let ((_let_30 (tptp.m _let_5))) (let ((_let_31 (tptp.east _let_30 _let_29))) (let ((_let_32 (tptp.c _let_4))) (let ((_let_33 (tptp.m _let_4))) (let ((_let_34 (tptp.west _let_33 _let_32))) (let ((_let_35 (tptp.achievable _let_34 tptp.boatonwest _let_31))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_28 _let_26 _let_22))) (let ((_let_38 (_let_11))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (tptp.safe _let_5 _let_5))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.safe _let_4 _let_4))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.achievable (tptp.west _let_3 _let_32) tptp.boatoneast (tptp.east _let_8 _let_29)))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_41 _let_35))) (let ((_let_47 (_let_13))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (tptp.safe _let_6 _let_5))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.safe tptp.n0 _let_4))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.achievable (tptp.west _let_3 _let_7) tptp.boatonwest (tptp.east _let_8 _let_2)))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52 _let_50 _let_44))) (let ((_let_56 (_let_14))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((not (= (tptp.achievable (tptp.west (tptp.m X) (tptp.c (tptp.s (tptp.s Y)))) tptp.boatonwest (tptp.east (tptp.m Z) (tptp.c W))) false))))) (let ((_let_59 (tptp.safe _let_6 tptp.n0))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.safe tptp.n0 _let_6))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.achievable (tptp.west _let_3 _let_29) tptp.boatoneast (tptp.east _let_8 _let_32)))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62 _let_60 _let_53))) (let ((_let_66 (_let_15))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (tptp.m Z))) (let ((_let_69 (tptp.m X))) (let ((_let_70 ((not (= (tptp.achievable (tptp.west _let_69 (tptp.c Y)) tptp.boatoneast (tptp.east _let_68 (tptp.c (tptp.s W)))) false))))) (let ((_let_71 (tptp.safe _let_6 _let_4))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.safe tptp.n0 _let_5))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.achievable (tptp.west _let_30 _let_29) tptp.boatonwest (tptp.east _let_33 _let_32)))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74 _let_72 _let_63))) (let ((_let_78 (_let_12))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (tptp.c W))) (let ((_let_81 (tptp.west (tptp.m (tptp.s (tptp.s X))) (tptp.c Y)))) (let ((_let_82 (tptp.achievable _let_34 tptp.boatoneast _let_31))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_41 _let_43 _let_75))) (let ((_let_85 (_let_10))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (tptp.east _let_3 _let_29))) (let ((_let_88 (tptp.west _let_8 _let_32))) (let ((_let_89 (tptp.achievable _let_88 tptp.boatonwest _let_87))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_43 _let_41 _let_82))) (let ((_let_92 (tptp.achievable (tptp.west _let_8 _let_2) tptp.boatoneast (tptp.east _let_3 _let_7)))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_72 _let_74 _let_89))) (let ((_let_95 (tptp.achievable (tptp.west _let_8 _let_29) tptp.boatonwest (tptp.east _let_3 _let_32)))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_60 _let_62 _let_92))) (let ((_let_98 (tptp.achievable _let_88 tptp.boatoneast _let_87))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_50 _let_52 _let_95))) (let ((_let_101 (not _let_9))) (let ((_let_102 (or _let_101 _let_72 _let_74 _let_98))) (let ((_let_103 (_let_19))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 ((not (= (tptp.safe tptp.n0 X) true))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_73 false _let_19)))) (let ((_let_107 (tptp.greater_or_equal _let_6 _let_4))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_71))) (let ((_let_110 (_let_18))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 ((not (= (tptp.safe X Y) true))))) (let ((_let_113 (tptp.greater_or_equal _let_5 tptp.n0))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_107 _let_114))) (let ((_let_116 (_let_16))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 ((not (= (tptp.greater_or_equal (tptp.s X) (tptp.s Y)) true))))) (let ((_let_119 (_let_17))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 ((not (= (tptp.greater_or_equal X tptp.n0) true))))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_71 _let_108 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_114 _let_107 (not _let_115)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_119)) _let_120 :args (_let_113 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_5 tptp.n0 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_115 false _let_16)) :args (_let_107 false _let_113 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_6 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_109 false _let_18)) :args (_let_71 false _let_107 false _let_109)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_51 false _let_19)))) (let ((_let_124 (tptp.greater_or_equal _let_6 _let_5))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_49))) (let ((_let_127 (tptp.greater_or_equal _let_5 _let_4))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_124 _let_128))) (let ((_let_130 (tptp.greater_or_equal _let_4 tptp.n0))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_127 _let_131))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_49 _let_125 (not _let_126)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_124 _let_128 (not _let_129)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_131 _let_127 (not _let_132)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_119)) _let_120 :args (_let_130 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_4 tptp.n0 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_132 false _let_16)) :args (_let_127 false _let_130 false _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_5 _let_4 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_129 false _let_16)) :args (_let_124 false _let_127 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_6 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_126 false _let_18)) :args (_let_49 false _let_124 false _let_126)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_61 false _let_19)))) (let ((_let_135 (tptp.greater_or_equal _let_6 tptp.n0))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_59))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_59 _let_136 (not _let_137)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_119)) _let_120 :args (_let_135 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_6 tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_137 false _let_18)) :args (_let_59 false _let_135 false _let_137)))) (let ((_let_139 (tptp.greater_or_equal _let_4 _let_4))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_42))) (let ((_let_142 (tptp.greater_or_equal tptp.n0 tptp.n0))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_139 _let_143))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_139 _let_143 (not _let_144)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_119)) _let_120 :args (_let_142 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.n0 tptp.n0 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_144 false _let_16)) :args (_let_139 false _let_142 false _let_144)))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_42 _let_140 (not _let_141)))) _let_145 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_4 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_141 false _let_18)) :args (_let_42 false _let_139 false _let_141)))) (let ((_let_147 (tptp.greater_or_equal _let_5 _let_5))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_148 _let_40))) (let ((_let_150 (or _let_147 _let_140))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_140 _let_147 (not _let_150)))) _let_145 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_4 _let_4 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_150 false _let_16)) :args (_let_147 false _let_139 false _let_150)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_40 _let_148 (not _let_149)))) _let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_5 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_149 false _let_18)) :args (_let_40 false _let_147 false _let_149)))) (let ((_let_153 (tptp.greater_or_equal _let_6 _let_6))) (let ((_let_154 (not _let_153))) (let ((_let_155 (or _let_154 _let_25))) (let ((_let_156 (or _let_153 _let_148))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.boatoneast QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.achievable _let_21 X _let_20) false))))) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_26 _let_28 _let_36 _let_22 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_25 _let_154 (not _let_155)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_156)) :args ((or _let_148 _let_153 (not _let_156)))) _let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_5 _let_5 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_156 false _let_16)) :args (_let_153 false _let_147 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_6 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_155 false _let_18)) :args (_let_25 false _let_153 false _let_155)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_27 false _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_41 _let_43 _let_35 _let_45 (not _let_46)))) _let_152 _let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_50 _let_52 _let_54 _let_44 (not _let_55)))) _let_133 _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_60 _let_62 _let_64 _let_53 (not _let_65)))) _let_138 _let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_72 _let_74 _let_76 _let_63 (not _let_77)))) _let_122 _let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_41 _let_43 _let_75 _let_83 (not _let_84)))) _let_152 _let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_41 _let_43 _let_90 _let_82 (not _let_91)))) _let_152 _let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_72 _let_74 _let_89 _let_93 (not _let_94)))) _let_122 _let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_60 _let_62 _let_96 _let_92 (not _let_97)))) _let_138 _let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_50 _let_52 _let_99 _let_95 (not _let_100)))) _let_133 _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_101 _let_72 _let_74 _let_98 (not _let_102)))) (ASSUME :args (_let_9)) _let_122 _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_6 _let_4 tptp.n0 tptp.n0 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_57 :args (_let_102 false _let_14)) :args (_let_98 false _let_9 false _let_71 false _let_73 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_6 _let_4 tptp.n0 _let_4 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_66)) _let_67 :args (_let_100 false _let_15)) :args (_let_95 false _let_49 false _let_51 false _let_98 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_6 tptp.n0 tptp.n0 _let_4 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_57 :args (_let_97 false _let_14)) :args (_let_92 false _let_59 false _let_61 false _let_95 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_6 tptp.n0 tptp.n0 _let_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.achievable (tptp.west _let_69 (tptp.c (tptp.s Y))) tptp.boatonwest (tptp.east _let_68 (tptp.c W))) true))))) :args _let_66)) _let_67 :args (_let_94 false _let_15)) :args (_let_89 false _let_71 false _let_73 false _let_92 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_4 _let_4 tptp.n0 _let_5 QUANTIFIERS_INST_E_MATCHING ((tptp.s (tptp.s Z)) _let_81 _let_80))) :args _let_78)) _let_79 :args (_let_91 false _let_12)) :args (_let_82 false _let_40 false _let_42 false _let_89 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_4 _let_4 _let_4 _let_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.achievable (tptp.west (tptp.m (tptp.s X)) (tptp.c (tptp.s Y))) tptp.boatonwest (tptp.east (tptp.m Z) (tptp.c W))) true))))) :args _let_85)) _let_86 :args (_let_84 false _let_10)) :args (_let_75 false _let_40 false _let_42 false _let_82 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.n0 _let_5 _let_4 _let_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.achievable _let_81 tptp.boatonwest (tptp.east (tptp.m Z) _let_80)) false))))) :args _let_78)) _let_79 :args (_let_77 false _let_12)) :args (_let_63 false _let_71 false _let_73 false _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.n0 _let_5 _let_6 tptp.n0 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_66)) _let_67 :args (_let_65 false _let_15)) :args (_let_53 false _let_59 false _let_61 false _let_63 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.n0 _let_4 _let_6 tptp.n0 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_57 :args (_let_55 false _let_14)) :args (_let_44 false _let_49 false _let_51 false _let_53 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.n0 _let_4 _let_5 _let_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.achievable (tptp.west (tptp.m (tptp.s X)) (tptp.c Y)) tptp.boatonwest (tptp.east (tptp.m Z) (tptp.c W))) true))))) :args _let_47)) _let_48 :args (_let_46 false _let_13)) :args (_let_35 false _let_40 false _let_42 false _let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.n0 tptp.n0 _let_5 _let_5 QUANTIFIERS_INST_E_MATCHING ((tptp.s X) (tptp.east (tptp.m (tptp.s Z)) (tptp.c (tptp.s W))) (tptp.s Y)))) :args _let_38)) _let_39 :args (_let_37 false _let_11)) :args (_let_22 false _let_25 false _let_27 false _let_35 false _let_37)) _let_24 :args (false false _let_22 false _let_1)) :args (_let_19 _let_18 _let_17 _let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.s W))) (let ((_let_2 (tptp.m Z))) (let ((_let_3 (tptp.m X))) (or (not (tptp.achievable (tptp.west _let_3 (tptp.c (tptp.s Y))) tptp.boatonwest (tptp.east _let_2 (tptp.c W)))) (not (tptp.safe X Y)) (not (tptp.safe Z _let_1)) (tptp.achievable (tptp.west _let_3 (tptp.c Y)) tptp.boatoneast (tptp.east _let_2 (tptp.c _let_1)))))))) _let_15 _let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.m Z))) (let ((_let_2 (tptp.s (tptp.s Y)))) (let ((_let_3 (tptp.m X))) (or (not (tptp.achievable (tptp.west _let_3 (tptp.c Y)) tptp.boatoneast (tptp.east _let_1 (tptp.c (tptp.s (tptp.s W)))))) (not (tptp.safe X _let_2)) (not (tptp.safe Z W)) (tptp.achievable (tptp.west _let_3 (tptp.c _let_2)) tptp.boatonwest (tptp.east _let_1 (tptp.c W)))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.c W))) (let ((_let_2 (tptp.s Z))) (let ((_let_3 (tptp.c Y))) (or (not (tptp.achievable (tptp.west (tptp.m (tptp.s X)) _let_3) tptp.boatonwest (tptp.east (tptp.m Z) _let_1))) (not (tptp.safe X Y)) (not (tptp.safe _let_2 W)) (tptp.achievable (tptp.west (tptp.m X) _let_3) tptp.boatoneast (tptp.east (tptp.m _let_2) _let_1))))))) _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.c W))) (let ((_let_2 (tptp.c Y))) (let ((_let_3 (tptp.s (tptp.s X)))) (or (not (tptp.achievable (tptp.west (tptp.m X) _let_2) tptp.boatoneast (tptp.east (tptp.m (tptp.s (tptp.s Z))) _let_1))) (not (tptp.safe _let_3 Y)) (not (tptp.safe Z W)) (tptp.achievable (tptp.west (tptp.m _let_3) _let_2) tptp.boatonwest (tptp.east (tptp.m Z) _let_1))))))) _let_11 _let_10 _let_9 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.35/1.59  )
% 1.35/1.60  % SZS output end Proof for PUZ008-3
% 1.43/1.60  % cvc5---1.0.5 exiting
% 1.43/1.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------