TSTP Solution File: GRP124-9.004 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 00:24:31 EDT 2023

% Result   : Unsatisfiable 0.11s 0.59s
% Output   : Proof 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.07  % Command    : do_cvc5 %s %d
% 0.07/0.26  % Computer : n015.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Mon Aug 28 21:24:55 EDT 2023
% 0.07/0.26  % CPUTime    : 
% 0.11/0.40  %----Proving TF0_NAR, FOF, or CNF
% 0.11/0.40  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QMRbdZvYFv/cvc5---1.0.5_28444.p...
% 0.11/0.41  ------- get file name : TPTP file name is GRP124-9.004
% 0.11/0.41  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28444.smt2...
% 0.11/0.41  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.11/0.59  % SZS status Unsatisfiable for GRP124-9.004
% 0.11/0.59  % SZS output start Proof for GRP124-9.004
% 0.11/0.59  (
% 0.11/0.59  (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product1 X Y Z1)) (not (tptp.product1 Z1 X Z2)) (tptp.product2 Z2 Y X))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.product2 X X X)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product2 X Y W)) (not (tptp.product2 X Y Z)) (tptp.equalish W Z))))) (let ((_let_4 (forall ((X $$unsorted)) (tptp.product1 X X X)))) (let ((_let_5 (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.product1 W Y X)) (not (tptp.product1 Z Y X)) (tptp.equalish W Z))))) (let ((_let_6 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product1 X W Y)) (not (tptp.product1 X Z Y)) (tptp.equalish W Z))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product1 X Y tptp.e_1) (tptp.product1 X Y tptp.e_2) (tptp.product1 X Y tptp.e_3) (tptp.product1 X Y tptp.e_4))))) (let ((_let_8 (tptp.equalish tptp.e_4 tptp.e_3))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.equalish tptp.e_4 tptp.e_1))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.equalish tptp.e_3 tptp.e_4))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.equalish tptp.e_3 tptp.e_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.equalish tptp.e_2 tptp.e_4))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.equalish tptp.e_1 tptp.e_4))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.group_element tptp.e_4))) (let ((_let_29 (tptp.group_element tptp.e_3))) (let ((_let_30 (tptp.group_element tptp.e_2))) (let ((_let_31 (tptp.group_element tptp.e_1))) (let ((_let_32 (tptp.product1 tptp.e_1 tptp.e_4 tptp.e_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_12))) (let ((_let_37 (ASSUME :args (_let_13)))) (let ((_let_38 (_let_6))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (not (= (tptp.product1 X W Y) false)))) (let ((_let_41 ((not (= (tptp.equalish W Z) true)) _let_40))) (let ((_let_42 (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_4))) (let ((_let_43 (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_3))) (let ((_let_44 (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_1))) (let ((_let_45 (not _let_29))) (let ((_let_46 (not _let_31))) (let ((_let_47 (or _let_46 _let_45 _let_44 _let_34 _let_43 _let_42))) (let ((_let_48 (_let_7))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 ((not (= (tptp.group_element Y) false)) (not (= (tptp.group_element X) false))))) (let ((_let_51 (not _let_42))) (let ((_let_52 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_4))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_18))) (let ((_let_55 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_3))) (let ((_let_56 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_57 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_1))) (let ((_let_58 (not _let_30))) (let ((_let_59 (or _let_46 _let_58 _let_57 _let_56 _let_55 _let_52))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_48)) _let_49 :args (_let_59 false _let_7)))) (let ((_let_61 (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_1))) (let ((_let_62 (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_2))) (let ((_let_63 (not _let_62))) (let ((_let_64 (not _let_55))) (let ((_let_65 (or _let_64 _let_63 _let_61))) (let ((_let_66 (_let_1))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (not (= (tptp.product1 Z1 X Z2) false)))) (let ((_let_69 (not (= (tptp.product1 X Y Z1) false)))) (let ((_let_70 (_let_69 _let_68))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_66)) _let_67 :args (_let_65 false _let_1)))) (let ((_let_72 (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_73 (not _let_72))) (let ((_let_74 (not _let_61))) (let ((_let_75 (or _let_74 _let_73 _let_26))) (let ((_let_76 (_let_3))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 ((not (= (tptp.equalish W Z) true)) (not (= (tptp.product2 X Y Z) false))))) (let ((_let_79 (_let_2))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (tptp.e_2 QUANTIFIERS_INST_ENUM))) (let ((_let_82 (ASSUME :args (_let_27)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_26 _let_73 _let_74 (not _let_75)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args _let_81) :args _let_79)) _let_80 :args (_let_72 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76)) _let_77 :args (_let_75 false _let_3)) :args (_let_74 true _let_26 false _let_72 false _let_75)))) (let ((_let_84 (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_4))) (let ((_let_85 (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_3))) (let ((_let_86 (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_1))) (let ((_let_87 (or _let_45 _let_46 _let_86 _let_62 _let_85 _let_84))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48)) _let_49 :args (_let_87 false _let_7)))) (let ((_let_89 (not _let_84))) (let ((_let_90 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_4))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89 _let_18))) (let ((_let_93 (_let_5))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (not (= (tptp.equalish W Z) true)))) (let ((_let_96 (not (= (tptp.product1 Z Y X) false)))) (let ((_let_97 (_let_96 _let_95))) (let ((_let_98 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_99 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_100 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_101 (or _let_58 _let_46 _let_100 _let_99 _let_98 _let_90))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product1 X Y tptp.e_1) true))))) :args _let_48)) _let_49 :args (_let_101 false _let_7)))) (let ((_let_103 (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_104 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_1))) (let ((_let_105 (not _let_104))) (let ((_let_106 (not _let_98))) (let ((_let_107 (or _let_106 _let_105 _let_103))) (let ((_let_108 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_4))) (let ((_let_109 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_3))) (let ((_let_110 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_2))) (let ((_let_111 (or _let_45 _let_58 _let_104 _let_110 _let_109 _let_108))) (let ((_let_112 (not _let_108))) (let ((_let_113 (or _let_89 _let_112 _let_26))) (let ((_let_114 (tptp.product2 tptp.e_4 tptp.e_4 tptp.e_2))) (let ((_let_115 (tptp.product1 tptp.e_2 tptp.e_4 tptp.e_3))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_112 _let_114))) (let ((_let_118 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_2))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_63 _let_119 _let_12))) (let ((_let_121 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_4))) (let ((_let_122 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_3))) (let ((_let_123 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_1))) (let ((_let_124 (not _let_28))) (let ((_let_125 (or _let_124 _let_46 _let_123 _let_118 _let_122 _let_121))) (let ((_let_126 (not _let_122))) (let ((_let_127 (or _let_106 _let_126 _let_16))) (let ((_let_128 (tptp.product1 tptp.e_2 tptp.e_4 tptp.e_1))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 _let_53 _let_114))) (let ((_let_131 (tptp.product1 tptp.e_2 tptp.e_4 tptp.e_4))) (let ((_let_132 (tptp.product1 tptp.e_2 tptp.e_4 tptp.e_2))) (let ((_let_133 (or _let_58 _let_124 _let_128 _let_132 _let_115 _let_131))) (let ((_let_134 (not _let_131))) (let ((_let_135 (or _let_134 _let_91 _let_10))) (let ((_let_136 (tptp.product2 tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_137 (not _let_136))) (let ((_let_138 (not _let_114))) (let ((_let_139 (or _let_138 _let_137 _let_16))) (let ((_let_140 (ASSUME :args (_let_17)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_16 _let_138 _let_137 (not _let_139)))) _let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product2 X X X) true))))) :args _let_79)) _let_80 :args (_let_136 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.e_4 tptp.e_4 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76)) _let_77 :args (_let_139 false _let_3)) :args (_let_138 true _let_16 false _let_136 false _let_139)))) (let ((_let_142 (not (= (tptp.product2 Z2 Y X) true)))) (let ((_let_143 (ASSUME :args (_let_31)))) (let ((_let_144 (ASSUME :args (_let_29)))) (let ((_let_145 (tptp.product1 tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_146 (not _let_145))) (let ((_let_147 (not _let_85))) (let ((_let_148 (or _let_147 _let_146 _let_24))) (let ((_let_149 (_let_4))) (let ((_let_150 (ASSUME :args _let_149))) (let ((_let_151 ((not (= (tptp.product1 X X X) true))))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_149)) _let_150 :args (_let_145 false _let_4)))) (let ((_let_153 (ASSUME :args (_let_25)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_24 _let_147 _let_146 (not _let_148)))) _let_153 _let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_38)) _let_39 :args (_let_148 false _let_6)) :args (_let_147 true _let_24 false _let_145 false _let_148)))) (let ((_let_155 (not _let_86))) (let ((_let_156 (tptp.product1 tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_157 (not _let_156))) (let ((_let_158 (or _let_157 _let_155 _let_24))) (let ((_let_159 (not (= (tptp.product1 W Y X) false)))) (let ((_let_160 (_let_159 _let_96))) (let ((_let_161 (tptp.e_1 QUANTIFIERS_INST_ENUM))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args _let_161) :args _let_149)) _let_150 :args (_let_156 false _let_4)))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_158)) :args ((or _let_24 _let_157 _let_155 (not _let_158)))) _let_153 _let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_93)) _let_94 :args (_let_158 false _let_5)) :args (_let_155 true _let_24 false _let_156 false _let_158)))) (let ((_let_164 (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_46 _let_45 _let_86 _let_62 _let_85 _let_84 (not _let_87)))))) (let ((_let_165 (_let_95 _let_159))) (let ((_let_166 (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_63 _let_61 (not _let_65)))))) (let ((_let_167 (ASSUME :args (_let_28)))) (let ((_let_168 (tptp.product1 tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_169 (not _let_168))) (let ((_let_170 (not _let_121))) (let ((_let_171 (or _let_170 _let_169 _let_22))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_149)) _let_150 :args (_let_168 false _let_4)))) (let ((_let_173 (ASSUME :args (_let_23)))) (let ((_let_174 (not _let_123))) (let ((_let_175 (or _let_157 _let_174 _let_22))) (let ((_let_176 (ASSUME :args (_let_30)))) (let ((_let_177 (not _let_56))) (let ((_let_178 (tptp.product1 tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_179 (not _let_178))) (let ((_let_180 (or _let_179 _let_177 _let_20))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args _let_81) :args _let_149)) _let_150 :args (_let_178 false _let_4)))) (let ((_let_182 (ASSUME :args (_let_21)))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_20 _let_177 _let_179 (not _let_180)))) _let_182 _let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_93)) _let_94 :args (_let_180 false _let_5)) :args (_let_177 true _let_20 false _let_178 false _let_180)))) (let ((_let_184 (not _let_57))) (let ((_let_185 (or _let_157 _let_184 _let_26))) 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_let_190)))) (let ((_let_192 (not _let_99))) (let ((_let_193 (or _let_179 _let_192 _let_20))) (let ((_let_194 (_let_40 (not (= (tptp.product1 X Z Y) false))))) (let ((_let_195 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_193)) :args ((or _let_20 _let_179 _let_192 (not _let_193)))) _let_182 _let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_194)) :args _let_38)) _let_39 :args (_let_193 false _let_6)) :args (_let_192 true _let_20 false _let_178 false _let_193)))) (let ((_let_196 (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_46 _let_58 _let_100 _let_99 _let_98 _let_90 (not _let_101)))))) (let ((_let_197 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48)) _let_49 :args (_let_133 false _let_7)))) (let ((_let_198 (not _let_132))) (let ((_let_199 (or _let_179 _let_198 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_let_187 _let_183 (MACRO_RESOLUTION_TRUST _let_166 (MACRO_RESOLUTION_TRUST _let_164 _let_143 _let_144 _let_163 _let_154 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_18 _let_91 _let_89 (not _let_92)))) _let_207 _let_214 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.e_2 tptp.e_1 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_93)) _let_94 :args (_let_92 false _let_5)) :args (_let_89 true _let_18 false _let_90 false _let_92)) _let_88 :args (_let_62 false _let_31 false _let_29 true _let_86 true _let_85 true _let_84 false _let_87)) _let_83 _let_71 :args (_let_64 false _let_62 true _let_61 false _let_65)) _let_60 :args (_let_52 false _let_31 false _let_30 true _let_57 true _let_56 true _let_55 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.e_1 tptp.e_2 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_38)) _let_39 :args (_let_54 false _let_6)) :args (_let_51 true _let_18 false _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48)) _let_49 :args (_let_47 false _let_7)) :args (_let_34 false _let_31 false _let_29 true _let_44 true _let_43 true _let_42 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.e_1 tptp.e_3 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_38)) _let_39 :args (_let_36 false _let_6)) _let_37 :args (false false _let_32 false _let_34 false _let_36 true _let_12)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product tptp.e_1 X Y) (tptp.product tptp.e_2 X Y) (tptp.product tptp.e_3 X Y) (tptp.product tptp.e_4 X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X tptp.e_1 Y) (tptp.product X tptp.e_2 Y) (tptp.product X tptp.e_3 Y) (tptp.product X tptp.e_4 Y))) _let_31 _let_30 _let_29 _let_28 _let_27 _let_25 _let_23 _let_21 _let_19 _let_17 (not (tptp.equalish tptp.e_3 tptp.e_1)) _let_15 _let_13 _let_11 (not (tptp.equalish tptp.e_4 tptp.e_2)) _let_9 _let_7 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product1 X Y W)) (not (tptp.product1 X Y Z)) (tptp.equalish W Z))) _let_6 _let_5 _let_4 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product2 X Y tptp.e_1) (tptp.product2 X Y tptp.e_2) (tptp.product2 X Y tptp.e_3) (tptp.product2 X Y tptp.e_4))) _let_3 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product2 X W Y)) (not (tptp.product2 X Z Y)) (tptp.equalish W Z))) (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.product2 W Y X)) (not (tptp.product2 Z Y X)) (tptp.equalish W Z))) _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.11/0.59  )
% 0.11/0.60  % SZS output end Proof for GRP124-9.004
% 0.11/0.60  % cvc5---1.0.5 exiting
% 0.11/0.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------