TSTP Solution File: GRP128-2.006 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP128-2.006 : 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 00:24:37 EDT 2023

% Result   : Unsatisfiable 1.20s 1.38s
% Output   : Proof 1.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP128-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 29 00:40:25 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.21/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.vuNK3QIxbO/cvc5---1.0.5_12428.p...
% 0.21/0.49  ------- get file name : TPTP file name is GRP128-2.006
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12428.smt2...
% 0.21/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.20/1.38  % SZS status Unsatisfiable for GRP128-2.006
% 1.20/1.38  % SZS output start Proof for GRP128-2.006
% 1.20/1.39  (
% 1.20/1.39  (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product X Y Z1)) (not (tptp.product Z1 Y Z2)) (tptp.product X Z1 Z2))))) (let ((_let_2 (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.product W Y X)) (not (tptp.product Z Y X)) (tptp.equalish W Z))))) (let ((_let_3 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X W Y)) (not (tptp.product X Z Y)) (tptp.equalish W Z))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X Y tptp.e_1) (tptp.product X Y tptp.e_2) (tptp.product X Y tptp.e_3) (tptp.product X Y tptp.e_4) (tptp.product X Y tptp.e_5) (tptp.product X Y tptp.e_6))))) (let ((_let_5 (tptp.equalish tptp.e_6 tptp.e_5))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.equalish tptp.e_6 tptp.e_4))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.equalish tptp.e_6 tptp.e_1))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.equalish tptp.e_5 tptp.e_6))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.equalish tptp.e_5 tptp.e_3))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.equalish tptp.e_5 tptp.e_1))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.equalish tptp.e_4 tptp.e_6))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.equalish tptp.e_4 tptp.e_5))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.equalish tptp.e_4 tptp.e_1))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.equalish tptp.e_3 tptp.e_6))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.equalish tptp.e_3 tptp.e_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.equalish tptp.e_3 tptp.e_1))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.equalish tptp.e_2 tptp.e_6))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.equalish tptp.e_2 tptp.e_5))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.equalish tptp.e_2 tptp.e_4))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.equalish tptp.e_1 tptp.e_6))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.equalish tptp.e_1 tptp.e_5))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.equalish tptp.e_1 tptp.e_4))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.group_element tptp.e_6))) (let ((_let_50 (tptp.group_element tptp.e_5))) (let ((_let_51 (tptp.group_element tptp.e_4))) (let ((_let_52 (tptp.group_element tptp.e_3))) (let ((_let_53 (tptp.group_element tptp.e_2))) (let ((_let_54 (tptp.group_element tptp.e_1))) (let ((_let_55 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (or (not (tptp.product X tptp.e_1 Y)) (not (tptp.next X X1)) (not (tptp.greater Y X1)))))) (let ((_let_56 (tptp.greater tptp.e_6 tptp.e_5))) (let ((_let_57 (tptp.greater tptp.e_6 tptp.e_4))) (let ((_let_58 (tptp.greater tptp.e_5 tptp.e_4))) (let ((_let_59 (tptp.greater tptp.e_6 tptp.e_3))) (let ((_let_60 (tptp.greater tptp.e_5 tptp.e_3))) (let ((_let_61 (tptp.greater tptp.e_4 tptp.e_3))) (let ((_let_62 (tptp.greater tptp.e_6 tptp.e_2))) (let ((_let_63 (tptp.greater tptp.e_5 tptp.e_2))) (let ((_let_64 (tptp.greater tptp.e_4 tptp.e_2))) (let ((_let_65 (tptp.greater tptp.e_3 tptp.e_2))) (let ((_let_66 (tptp.next tptp.e_4 tptp.e_5))) (let ((_let_67 (tptp.next tptp.e_3 tptp.e_4))) (let ((_let_68 (tptp.next tptp.e_2 tptp.e_3))) (let ((_let_69 (tptp.next tptp.e_1 tptp.e_2))) (let ((_let_70 (tptp.product tptp.e_6 tptp.e_1 tptp.e_3))) (let ((_let_71 (tptp.product tptp.e_6 tptp.e_1 tptp.e_6))) (let ((_let_72 (tptp.product tptp.e_6 tptp.e_1 tptp.e_5))) (let ((_let_73 (tptp.product tptp.e_6 tptp.e_1 tptp.e_4))) (let ((_let_74 (tptp.product tptp.e_6 tptp.e_1 tptp.e_2))) (let ((_let_75 (tptp.product tptp.e_6 tptp.e_1 tptp.e_1))) (let ((_let_76 (not _let_54))) (let ((_let_77 (not _let_49))) (let ((_let_78 (or _let_77 _let_76 _let_75 _let_74 _let_70 _let_73 _let_72 _let_71))) (let ((_let_79 (ASSUME :args (_let_54)))) (let ((_let_80 (ASSUME :args (_let_49)))) (let ((_let_81 (not _let_70))) (let ((_let_82 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81 _let_29))) (let ((_let_85 (_let_2))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (not (= (tptp.product Z Y X) false)))) (let ((_let_88 (not (= (tptp.product W Y X) false)))) (let ((_let_89 (_let_88 _let_87))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_6 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_85)) _let_86 :args (_let_84 false _let_2)))) (let ((_let_91 (tptp.product tptp.e_2 tptp.e_1 tptp.e_6))) (let ((_let_92 (tptp.product tptp.e_2 tptp.e_1 tptp.e_5))) (let ((_let_93 (tptp.product tptp.e_2 tptp.e_1 tptp.e_4))) (let ((_let_94 (tptp.product tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_95 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_96 (not _let_53))) (let ((_let_97 (or _let_96 _let_76 _let_95 _let_94 _let_82 _let_93 _let_92 _let_91))) (let ((_let_98 (_let_4))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_98)) _let_99 :args (_let_97 false _let_4)))) (let ((_let_102 (not _let_59))) (let ((_let_103 (not _let_68))) (let ((_let_104 (not _let_91))) (let ((_let_105 (or _let_104 _let_103 _let_102))) (let ((_let_106 (_let_55))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (not (= (tptp.product X tptp.e_1 Y) false)))) (let ((_let_109 (_let_108 (not (= (tptp.next X X1) false))))) (let ((_let_110 (ASSUME :args (_let_68)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_103 _let_102 _let_104 (not _let_105)))) _let_110 (ASSUME :args (_let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.e_2 tptp.e_6 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106)) _let_107 :args (_let_105 false _let_55)) :args (_let_104 false _let_68 false _let_59 false _let_105)))) (let ((_let_112 (not _let_60))) (let ((_let_113 (not _let_92))) (let ((_let_114 (or _let_113 _let_103 _let_112))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_103 _let_112 _let_113 (not _let_114)))) _let_110 (ASSUME :args (_let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.e_2 tptp.e_5 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106)) _let_107 :args (_let_114 false _let_55)) :args (_let_113 false _let_68 false _let_60 false _let_114)))) (let ((_let_116 (not _let_61))) (let ((_let_117 (not _let_93))) (let ((_let_118 (or _let_117 _let_103 _let_116))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_103 _let_116 _let_117 (not _let_118)))) _let_110 (ASSUME :args (_let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.e_2 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106)) _let_107 :args (_let_118 false _let_55)) :args (_let_117 false _let_68 false _let_61 false _let_118)))) (let ((_let_120 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_121 (not _let_94))) (let ((_let_122 (or _let_121 _let_121 _let_120))) (let ((_let_123 (not _let_120))) (let ((_let_124 (or _let_123 _let_121 _let_37))) (let ((_let_125 (_let_1))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 (not (= (tptp.product Z1 Y Z2) false)))) (let ((_let_128 (not (= (tptp.product X Y Z1) false)))) (let ((_let_129 (_let_128 _let_127))) (let ((_let_130 (ASSUME :args (_let_38)))) (let ((_let_131 (_let_3))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 (not (= (tptp.equalish W Z) true)))) (let ((_let_134 ((not (= (tptp.product X Z Y) false)) _let_133))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_37 _let_121 _let_123 (not _let_124)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_134)) :args _let_131)) _let_132 :args (_let_124 false _let_3)) _let_130 (REORDERING (FACTORING (CNF_OR_POS :args (_let_122))) :args ((or _let_120 _let_121 (not _let_122)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_125)) _let_126 :args (_let_122 false _let_1)) :args (_let_121 false _let_124 true _let_37 false _let_120 false _let_122)))) (let ((_let_136 (not _let_95))) (let ((_let_137 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_136 _let_47))) (let ((_let_140 (not (= (tptp.equalish W Z) true)))) (let ((_let_141 (_let_140 _let_88))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_85)) _let_86 :args (_let_139 false _let_2)))) (let ((_let_143 (tptp.product tptp.e_1 tptp.e_1 tptp.e_6))) (let ((_let_144 (tptp.product tptp.e_1 tptp.e_1 tptp.e_5))) (let ((_let_145 (tptp.product tptp.e_1 tptp.e_1 tptp.e_4))) (let ((_let_146 (tptp.product tptp.e_1 tptp.e_1 tptp.e_3))) (let ((_let_147 (tptp.product tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_148 (or _let_76 _let_76 _let_137 _let_147 _let_146 _let_145 _let_144 _let_143))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.e_1 tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_98)) _let_99 :args (_let_148 false _let_4)))) (let ((_let_150 (not _let_62))) (let ((_let_151 (not _let_69))) (let ((_let_152 (not _let_143))) (let ((_let_153 (or _let_152 _let_151 _let_150))) (let ((_let_154 (ASSUME :args (_let_69)))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_151 _let_150 _let_152 (not _let_153)))) _let_154 (ASSUME :args (_let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.e_1 tptp.e_6 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106)) _let_107 :args (_let_153 false _let_55)) :args (_let_152 false _let_69 false _let_62 false _let_153)))) (let ((_let_156 (not _let_63))) (let ((_let_157 (not _let_144))) (let ((_let_158 (or _let_157 _let_151 _let_156))) (let ((_let_159 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_158)) :args ((or _let_151 _let_156 _let_157 (not _let_158)))) _let_154 (ASSUME :args (_let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.e_1 tptp.e_5 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106)) _let_107 :args (_let_158 false _let_55)) :args (_let_157 false _let_69 false _let_63 false _let_158)))) (let ((_let_160 (not _let_64))) (let ((_let_161 (not _let_145))) (let ((_let_162 (or _let_161 _let_151 _let_160))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_151 _let_160 _let_161 (not _let_162)))) _let_154 (ASSUME :args (_let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.e_1 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106)) _let_107 :args (_let_162 false _let_55)) :args (_let_161 false _let_69 false _let_64 false _let_162)))) (let ((_let_164 (not _let_65))) (let ((_let_165 (not _let_146))) (let ((_let_166 (or _let_165 _let_151 _let_164))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_151 _let_164 _let_165 (not _let_166)))) _let_154 (ASSUME :args (_let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106)) _let_107 :args (_let_166 false _let_55)) :args (_let_165 false _let_69 false _let_65 false _let_166)))) (let ((_let_168 (tptp.product tptp.e_5 tptp.e_1 tptp.e_2))) (let ((_let_169 (not _let_168))) (let ((_let_170 (not _let_147))) (let ((_let_171 (or _let_170 _let_169 _let_41))) (let ((_let_172 (tptp.product tptp.e_4 tptp.e_1 tptp.e_1))) (let ((_let_173 (not _let_172))) (let ((_let_174 (or _let_138 _let_173 _let_43))) (let ((_let_175 (not _let_75))) (let ((_let_176 (or _let_175 _let_138 _let_9))) (let ((_let_177 (tptp.product tptp.e_3 tptp.e_1 tptp.e_2))) (let ((_let_178 (tptp.product tptp.e_2 tptp.e_4 tptp.e_3))) (let ((_let_179 (not _let_178))) (let ((_let_180 (or _let_179 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_3 tptp.e_1 tptp.e_4 tptp.e_6 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_85)) _let_86 :args (_let_200 false _let_2)))) (let ((_let_417 (REORDERING (CNF_OR_POS :args (_let_200)) :args ((or _let_23 _let_195 _let_199 (not _let_200)))))) (let ((_let_418 (tptp.product tptp.e_6 tptp.e_6 tptp.e_6))) (let ((_let_419 (not _let_222))) (let ((_let_420 (or _let_419 _let_419 _let_418))) (let ((_let_421 (not _let_418))) (let ((_let_422 (or _let_421 _let_419 _let_5))) (let ((_let_423 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.e_6 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_320)) :args _let_98)) _let_99 :args (_let_78 false _let_4)))) (let ((_let_424 (not _let_71))) (let ((_let_425 (or _let_421 _let_424 _let_9))) (let ((_let_426 (or _let_424 _let_424 _let_418))) (let ((_let_427 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_426))) :args ((or _let_418 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_let_3)) _let_415 _let_377 _let_363 _let_362 _let_417 _let_416 _let_415 (REORDERING (CNF_OR_POS :args (_let_198)) :args ((or _let_13 _let_195 _let_197 (not _let_198)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_5 tptp.e_1 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_85)) _let_86 :args (_let_198 false _let_2)) _let_391 _let_355 _let_341 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_414 _let_90 _let_413 (REORDERING (CNF_OR_POS :args (_let_186)) :args ((or _let_39 _let_83 _let_185 (not _let_186)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_6 QUANTIFIERS_INST_E_MATCHING _let_327)) :args _let_131)) _let_132 :args (_let_186 false _let_3)) (ASSUME :args (_let_40)) _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_119 _let_115 _let_111 _let_135 _let_101 _let_305 _let_79 _let_412 _let_409 _let_408 _let_407 _let_406 _let_142 _let_405 _let_404 _let_403 _let_301 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_297)) :args ((or _let_296 _let_231 _let_252 (not _let_297)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_4 tptp.e_3 tptp.e_1 tptp.e_6 QUANTIFIERS_INST_E_MATCHING _let_304)) :args _let_125)) _let_126 :args (_let_297 false _let_1)) _let_334 (REORDERING (CNF_OR_POS :args (_let_295)) :args ((or _let_269 _let_293 _let_294 (not _let_295)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_6 QUANTIFIERS_INST_E_MATCHING _let_303)) :args _let_125)) _let_126 :args (_let_295 false _let_1)) _let_402 _let_401 _let_319 _let_347 (REORDERING (CNF_OR_POS :args (_let_292)) :args ((or _let_96 _let_254 _let_270 _let_273 _let_291 _let_287 _let_281 _let_290 (not _let_292)))) _let_400 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_98)) _let_99 :args (_let_292 false _let_4)) _let_347 _let_305 _let_393 _let_392 _let_391 (REORDERING (CNF_OR_POS :args (_let_289)) :args ((or _let_269 _let_284 _let_288 (not _let_289)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_125)) _let_126 :args (_let_289 false _let_1)) _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_313 _let_384 _let_383 _let_382 (REORDERING (CNF_OR_POS :args (_let_286)) :args ((or _let_37 _let_285 _let_206 (not _let_286)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_2 tptp.e_3 tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_378)) :args _let_85)) _let_86 :args (_let_286 false _let_2)) _let_130 (REORDERING (CNF_OR_POS :args (_let_283)) :args ((or _let_33 _let_282 _let_280 (not _let_283)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.e_3 tptp.e_2 tptp.e_5 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_327)) :args _let_131)) _let_132 :args (_let_283 false _let_3)) _let_313 _let_377 _let_363 _let_362 (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_195 _let_237 _let_278 (not _let_279)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_3 tptp.e_1 tptp.e_4 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_125)) _let_126 :args (_let_279 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_277)) :args ((or _let_276 _let_237 _let_197 (not _let_277)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_4 tptp.e_1 tptp.e_5 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_304)) :args _let_125)) _let_126 :args (_let_277 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_360)) :args ((or _let_19 _let_324 _let_358 (not _let_360)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_327)) :args _let_131)) _let_132 :args (_let_360 false _let_3)) _let_361 (REORDERING (FACTORING (CNF_OR_POS :args (_let_359))) :args ((or _let_323 _let_358 (not _let_359)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_4 tptp.e_5 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_125)) _let_126 :args (_let_359 false _let_1)) :args (_let_358 false _let_360 true _let_19 false _let_323 false _let_359)) _let_357 _let_356 _let_299 (REORDERING (CNF_OR_POS :args (_let_275)) :args ((or _let_269 _let_259 _let_274 (not _let_275)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_304)) :args _let_125)) _let_126 :args (_let_275 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_272)) :args ((or _let_269 _let_190 _let_271 (not _let_272)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_3 tptp.e_2 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_304)) :args _let_125)) _let_126 :args (_let_272 false _let_1)) _let_355 _let_341 _let_335 _let_334 _let_328 _let_321 _let_319 _let_79 (REORDERING (CNF_OR_POS :args (_let_268)) :args ((or _let_170 _let_267 _let_83 (not _let_268)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_304)) :args _let_125)) _let_126 :args (_let_268 false _let_1)) _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_119 _let_115 _let_111 _let_135 _let_101 _let_305 _let_79 (REORDERING (CNF_OR_POS :args (_let_266)) :args ((or _let_170 _let_173 _let_225 (not _let_266)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_4 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_304)) :args _let_125)) _let_126 :args (_let_266 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_265)) :args ((or _let_170 _let_256 _let_136 (not _let_265)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_303)) :args _let_125)) _let_126 :args (_let_265 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_264)) :args ((or _let_43 _let_170 _let_226 (not _let_264)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_85)) _let_86 :args (_let_264 false _let_2)) _let_301 (REORDERING (CNF_OR_POS :args (_let_263)) :args ((or _let_45 _let_170 _let_262 (not _let_263)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_85)) _let_86 :args (_let_263 false _let_2)) _let_300 (REORDERING (CNF_OR_POS :args (_let_261)) :args ((or _let_27 _let_170 _let_260 (not _let_261)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.e_1 tptp.e_3 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_134)) :args _let_131)) _let_132 :args (_let_261 false _let_3)) _let_299 _let_298 _let_167 _let_163 _let_159 _let_155 _let_149 _let_79 (REORDERING (FACTORING (CNF_OR_POS :args (_let_258))) :args ((or _let_137 _let_257 (not _let_258)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_125)) _let_126 :args (_let_258 false _let_1)) :args ((or _let_137 _let_168) false _let_297 true _let_231 false _let_293 false _let_295 false _let_251 false _let_255 false _let_51 false _let_52 false _let_290 true _let_291 false _let_292 false _let_52 false _let_53 true _let_247 false _let_250 true _let_13 true _let_287 false _let_289 false _let_241 false _let_242 true _let_215 false _let_217 true _let_212 false _let_214 true _let_33 true _let_209 false _let_211 true _let_208 true _let_284 false _let_286 true _let_37 true _let_281 false _let_283 true _let_33 false _let_203 false _let_201 false _let_202 false _let_278 false _let_279 true _let_196 false _let_277 true _let_276 true _let_238 false _let_240 true _let_27 true _let_273 false _let_275 true _let_270 false _let_272 false _let_194 true _let_193 false _let_232 true _let_231 true _let_233 false _let_235 false _let_51 false _let_54 false _let_267 false _let_268 true _let_190 false _let_192 true _let_35 true _let_187 false _let_189 true _let_33 true _let_181 false _let_183 true _let_31 true _let_178 false _let_180 true _let_21 false _let_82 true _let_93 true _let_92 true _let_91 true _let_94 false _let_97 false _let_53 false _let_54 true _let_172 false _let_266 true _let_95 false _let_265 true _let_225 false _let_264 true _let_43 true _let_177 false _let_263 true _let_45 true _let_259 false _let_261 true _let_27 false _let_147 true _let_146 true _let_145 true _let_144 true _let_143 false _let_148 false _let_54 true _let_256 false _let_258)) :args (_let_168 false _let_255 false _let_51 false _let_52 true _let_251 false _let_253 true _let_247 false _let_250 true _let_13 true _let_244 false _let_246 true _let_17 false _let_241 false _let_242 true _let_238 false _let_240 true _let_27 false _let_236 false _let_232 true _let_231 true _let_233 false _let_235 false _let_51 false _let_54 false _let_229 false _let_230 true _let_225 false _let_228 true _let_7 false _let_74 true _let_71 false _let_78 false _let_49 false _let_54 true _let_72 false _let_224 true _let_222 true _let_219 false _let_221 true _let_37 true _let_215 false _let_217 true _let_212 false _let_214 true _let_33 true _let_209 false _let_211 true _let_208 true _let_204 false _let_207 true _let_23 false _let_203 false _let_201 false _let_202 true _let_73 false _let_200 true _let_23 true _let_196 false _let_198 true _let_13 false _let_194 true _let_193 true _let_190 false _let_192 true _let_35 true _let_187 false _let_189 true _let_33 true _let_70 false _let_84 true _let_29 true _let_184 false _let_186 true _let_39 true _let_181 false _let_183 true _let_31 true _let_178 false _let_180 true _let_21 false _let_82 true _let_93 true _let_92 true _let_91 true _let_94 false _let_97 false _let_53 false _let_54 true _let_177 true _let_75 false _let_176 true _let_9 true _let_95 false _let_139 true _let_47 true _let_172 false _let_174 true _let_43 false _let_137)))) (let ((_let_446 (MACRO_RESOLUTION_TRUST _let_298 _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_41 _let_170 _let_169 (not _let_171)))) (ASSUME :args (_let_42)) _let_445 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_85)) _let_86 :args (_let_171 false _let_2)) :args (_let_170 true _let_41 false _let_168 false _let_171)) _let_167 _let_163 _let_159 _let_155 _let_149 :args (_let_137 false _let_54 true _let_147 true _let_146 true _let_145 true _let_144 true _let_143 false _let_148)))) (let ((_let_447 (MACRO_RESOLUTION_TRUST _let_406 _let_405 _let_446 _let_142 :args (_let_136 true _let_47 false _let_137 false _let_139)))) (let ((_let_448 (MACRO_RESOLUTION_TRUST _let_306 _let_79 _let_305 _let_447 _let_135 _let_119 _let_115 _let_111 _let_101 :args (_let_82 false _let_54 false _let_53 true _let_95 true _let_94 true _let_93 true _let_92 true _let_91 false _let_97)))) (let ((_let_449 (or _let_169 _let_227 _let_11))) (let ((_let_450 (or _let_237 _let_223 _let_17))) (let ((_let_451 (or _let_226 _let_169 _let_19))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_428 (MACRO_RESOLUTION_TRUST _let_417 _let_415 (MACRO_RESOLUTION_TRUST _let_355 (MACRO_RESOLUTION_TRUST _let_412 _let_447 :args (_let_262 true _let_95)) (MACRO_RESOLUTION_TRUST _let_318 _let_316 _let_448 _let_317 :args (_let_191 true _let_35 false _let_82 false _let_192)) _let_341 :args (_let_194 true _let_177 true _let_190 true _let_193)) _let_416 :args (_let_199 true _let_23 false _let_194 false _let_200)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_450)) :args ((or _let_17 _let_237 _let_223 (not _let_450)))) _let_444 (MACRO_RESOLUTION_TRUST _let_335 _let_79 _let_319 (MACRO_RESOLUTION_TRUST _let_404 _let_301 _let_446 _let_403 :args (_let_173 true _let_43 false _let_137 false _let_174)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_451)) :args ((or _let_19 _let_169 _let_226 (not _let_451)))) _let_361 _let_445 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_4 tptp.e_1 tptp.e_2 tptp.e_5 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_85)) _let_86 :args (_let_451 false _let_2)) :args (_let_226 true _let_19 false _let_168 false _let_451)) (MACRO_RESOLUTION_TRUST _let_315 _let_313 _let_448 _let_314 :args (_let_188 true _let_33 false _let_82 false _let_189)) _let_328 _let_334 _let_321 :args (_let_232 false _let_54 false _let_51 true _let_172 true _let_225 true _let_187 true _let_233 true _let_231 false _let_235)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_4 tptp.e_1 tptp.e_5 tptp.e_6 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_85)) _let_86 :args (_let_450 false _let_2)) :args (_let_223 true _let_17 false _let_232 false _let_450)) _let_427 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_449)) :args ((or _let_11 _let_227 _let_169 (not _let_449)))) (ASSUME :args (_let_12)) _let_445 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_5 tptp.e_1 tptp.e_2 tptp.e_6 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_85)) _let_86 :args (_let_449 false _let_2)) :args (_let_227 true _let_11 false _let_168 false _let_449)) (MACRO_RESOLUTION_TRUST _let_409 _let_407 _let_446 _let_408 :args (_let_175 true _let_9 false _let_137 false _let_176)) _let_423 (MACRO_RESOLUTION_TRUST _let_414 _let_413 _let_448 _let_90 :args (_let_81 true _let_29 false _let_82 false _let_84)) _let_80 _let_79 :args (false true _let_73 true _let_72 true _let_71 true _let_74 true _let_75 false _let_78 true _let_70 false _let_49 false _let_54)) :args (_let_69 _let_68 _let_67 _let_66 (tptp.next tptp.e_5 tptp.e_6) (tptp.greater tptp.e_2 tptp.e_1) (tptp.greater tptp.e_3 tptp.e_1) (tptp.greater tptp.e_4 tptp.e_1) (tptp.greater tptp.e_5 tptp.e_1) (tptp.greater tptp.e_6 tptp.e_1) _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_46 _let_44 _let_42 _let_40 _let_38 _let_36 _let_34 _let_32 _let_30 _let_28 _let_26 (not (tptp.equalish tptp.e_3 tptp.e_4)) (not (tptp.equalish tptp.e_3 tptp.e_5)) _let_24 _let_22 (not (tptp.equalish tptp.e_4 tptp.e_2)) (not (tptp.equalish tptp.e_4 tptp.e_3)) _let_20 _let_18 _let_16 (not (tptp.equalish tptp.e_5 tptp.e_2)) _let_14 (not (tptp.equalish tptp.e_5 tptp.e_4)) _let_12 _let_10 (not (tptp.equalish tptp.e_6 tptp.e_2)) (not (tptp.equalish tptp.e_6 tptp.e_3)) _let_8 _let_6 _let_4 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y W)) (not (tptp.product X Y Z)) (tptp.equalish W Z))) _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.20/1.39  )
% 1.20/1.39  % SZS output end Proof for GRP128-2.006
% 1.20/1.39  % cvc5---1.0.5 exiting
% 1.20/1.40  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------