%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP124-7.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 00:24:30 EDT 2023

% Result   : Unsatisfiable 0.23s 0.70s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : GRP124-7.004 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n014.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Aug 28 23:18:45 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.52  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.InYCker9nV/cvc5---1.0.5_2150.p...
% 0.23/0.53  ------- get file name : TPTP file name is GRP124-7.004
% 0.23/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2150.smt2...
% 0.23/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.70  % SZS status Unsatisfiable for GRP124-7.004
% 0.23/0.70  % SZS output start Proof for GRP124-7.004
% 0.23/0.71  (
% 0.23/0.71  (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_2))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.equalish tptp.e_4 tptp.e_1))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.equalish tptp.e_3 tptp.e_4))) (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_1 tptp.e_4))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.group_element tptp.e_4))) (let ((_let_27 (tptp.group_element tptp.e_3))) (let ((_let_28 (tptp.group_element tptp.e_2))) (let ((_let_29 (tptp.group_element tptp.e_1))) (let ((_let_30 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_31 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_4))) (let ((_let_32 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_33 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_34 (not _let_29))) (let ((_let_35 (not _let_28))) (let ((_let_36 (or _let_35 _let_34 _let_30 _let_33 _let_32 _let_31))) (let ((_let_37 (ASSUME :args (_let_29)))) (let ((_let_38 (ASSUME :args (_let_28)))) (let ((_let_39 (not _let_30))) (let ((_let_40 (tptp.product1 tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_24))) (let ((_let_43 (_let_5))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM))) (let ((_let_46 (_let_4))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.e_1 QUANTIFIERS_INST_ENUM))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_48) :args _let_46)) _let_47 :args (_let_40 false _let_4)))) (let ((_let_50 (ASSUME :args (_let_25)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_24 _let_41 _let_39 (not _let_42)))) _let_50 _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_45) :args _let_43)) _let_44 :args (_let_42 false _let_5)) :args (_let_39 true _let_24 false _let_40 false _let_42)))) (let ((_let_52 (_let_7))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 ((not (= (tptp.product1 X Y tptp.e_1) true))))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_52)) _let_53 :args (_let_36 false _let_7)))) (let ((_let_56 (tptp.product1 tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_57 (not _let_56))) (let ((_let_58 (not _let_33))) (let ((_let_59 (or _let_58 _let_57 _let_24))) (let ((_let_60 (_let_6))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (not (= (tptp.equalish W Z) true)))) (let ((_let_63 (_let_62 (not (= (tptp.product1 X Z Y) false))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_47 :args (_let_56 false _let_4)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_24 _let_57 _let_58 (not _let_59)))) _let_50 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_60)) _let_61 :args (_let_59 false _let_6)) :args (_let_58 true _let_24 false _let_56 false _let_59)))) (let ((_let_66 (tptp.product1 tptp.e_2 tptp.e_3 tptp.e_4))) (let ((_let_67 (not _let_66))) (let ((_let_68 (not _let_31))) (let ((_let_69 (or _let_68 _let_67 _let_22))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.e_2 tptp.e_1 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_60)) _let_61 :args (_let_69 false _let_6)))) (let ((_let_71 (tptp.product1 tptp.e_2 tptp.e_3 tptp.e_3))) (let ((_let_72 (tptp.product1 tptp.e_2 tptp.e_3 tptp.e_2))) (let ((_let_73 (tptp.product1 tptp.e_2 tptp.e_3 tptp.e_1))) (let ((_let_74 (not _let_27))) (let ((_let_75 (or _let_35 _let_74 _let_73 _let_72 _let_71 _let_66))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product1 X Y tptp.e_2) true))))) :args _let_52)) _let_53 :args (_let_75 false _let_7)))) (let ((_let_77 (tptp.product1 tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_78 (not _let_77))) (let ((_let_79 (not _let_71))) (let ((_let_80 (or _let_79 _let_78 _let_18))) (let ((_let_81 (not (= (tptp.product1 W Y X) false)))) (let ((_let_82 (_let_81 (not (= (tptp.equalish W Z) true))))) (let ((_let_83 ((not (= (tptp.product1 X X X) true))))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_46)) _let_47 :args (_let_77 false _let_4)))) (let ((_let_85 (ASSUME :args (_let_19)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_18 _let_79 _let_78 (not _let_80)))) _let_85 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_2 tptp.e_3 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_43)) _let_44 :args (_let_80 false _let_5)) :args (_let_79 true _let_18 false _let_77 false _let_80)))) (let ((_let_87 (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_1))) (let ((_let_88 (not _let_87))) (let ((_let_89 (not _let_73))) (let ((_let_90 (or _let_89 _let_88 _let_16))) (let ((_let_91 (_let_81 (not (= (tptp.product1 Z Y X) false))))) (let ((_let_92 (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_4))) (let ((_let_93 (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_3))) (let ((_let_94 (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_2))) (let ((_let_95 (not _let_26))) (let ((_let_96 (or _let_95 _let_74 _let_87 _let_94 _let_93 _let_92))) (let ((_let_97 (tptp.product1 tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_98 (not _let_97))) (let ((_let_99 (not _let_92))) (let ((_let_100 (or _let_99 _let_98 _let_14))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_46)) _let_47 :args (_let_97 false _let_4)))) (let ((_let_102 (ASSUME :args (_let_15)))) (let ((_let_103 (not _let_93))) (let ((_let_104 (or _let_78 _let_103 _let_14))) (let ((_let_105 (tptp.product2 tptp.e_3 tptp.e_3 tptp.e_4))) (let ((_let_106 (tptp.product1 tptp.e_2 tptp.e_4 tptp.e_3))) (let ((_let_107 (not _let_106))) (let ((_let_108 (not _let_94))) (let ((_let_109 (or _let_108 _let_107 _let_105))) (let ((_let_110 (_let_1))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (not (= (tptp.product1 Z1 X Z2) false)))) (let ((_let_113 ((not (= (tptp.product1 X Y Z1) false)) _let_112))) (let ((_let_114 (not _let_105))) (let ((_let_115 (tptp.product2 tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_114 _let_14))) (let ((_let_118 (_let_3))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 ((not (= (tptp.equalish W Z) true)) (not (= (tptp.product2 X Y W) false))))) (let ((_let_121 (_let_2))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 ((not (= (tptp.product2 X X X) true))))) (let ((_let_124 (tptp.product1 tptp.e_2 tptp.e_4 tptp.e_4))) (let ((_let_125 (tptp.product1 tptp.e_2 tptp.e_4 tptp.e_2))) (let ((_let_126 (tptp.product1 tptp.e_2 tptp.e_4 tptp.e_1))) (let ((_let_127 (or _let_35 _let_95 _let_126 _let_125 _let_106 _let_124))) (let ((_let_128 ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) (let ((_let_129 (not _let_124))) (let ((_let_130 (or _let_129 _let_98 _let_16))) (let ((_let_131 (ASSUME :args (_let_17)))) (let ((_let_132 (not _let_125))) (let ((_let_133 (or _let_57 _let_132 _let_16))) (let ((_let_134 (not _let_126))) (let ((_let_135 (or _let_134 _let_89 _let_8))) (let ((_let_136 (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_4))) (let ((_let_137 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_2))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_134 _let_136))) (let ((_let_140 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_4))) (let ((_let_141 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_3))) (let ((_let_142 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_1))) (let ((_let_143 (or _let_95 _let_34 _let_142 _let_137 _let_141 _let_140))) (let ((_let_144 (not _let_141))) (let ((_let_145 (not _let_32))) (let ((_let_146 (or _let_145 _let_144 _let_16))) (let ((_let_147 ((not (= (tptp.product1 X W Y) false)) _let_62))) (let ((_let_148 (not _let_136))) (let ((_let_149 (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_150 (not _let_149))) (let ((_let_151 (or _let_150 _let_148 _let_20))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args _let_48) :args _let_121)) _let_122 :args (_let_149 false _let_2)))) (let ((_let_153 (ASSUME :args (_let_21)))) (let ((_let_154 ((not (= (tptp.product2 Z2 Y X) true)) _let_112))) (let ((_let_155 (ASSUME :args (_let_27)))) (let ((_let_156 (not _let_72))) (let ((_let_157 (or _let_57 _let_156 _let_18))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_18 _let_57 _let_156 (not _let_157)))) _let_85 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_147)) :args _let_60)) _let_61 :args (_let_157 false _let_6)) :args (_let_156 true _let_18 false _let_56 false _let_157)))) (let ((_let_159 (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_35 _let_74 _let_72 _let_73 _let_71 _let_66 (not _let_75)))))) (let ((_let_160 (ASSUME :args (_let_26)))) (let ((_let_161 (not _let_140))) (let ((_let_162 (or _let_98 _let_161 _let_12))) (let ((_let_163 (not _let_142))) (let ((_let_164 (or _let_41 _let_163 _let_20))) (let ((_let_165 (ASSUME :args (_let_23)))) (let ((_let_166 (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_22 _let_68 _let_67 (not _let_69)))))) (let ((_let_167 (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_34 _let_35 _let_30 _let_33 _let_32 _let_31 (not _let_36)))))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_35 _let_95 _let_126 _let_125 _let_106 _let_124 (not _let_127)))) _let_38 _let_160 (MACRO_RESOLUTION_TRUST _let_167 _let_65 _let_55 _let_51 _let_38 _let_37 (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_16 _let_145 _let_144 (not _let_146)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_43)) _let_44 :args (_let_146 false _let_5)) _let_131 _let_166 _let_70 _let_165 (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_34 _let_95 _let_142 _let_137 _let_141 _let_140 (not _let_143)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_20 _let_41 _let_163 (not _let_164)))) _let_153 _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_43)) _let_44 :args (_let_164 false _let_5)) :args (_let_163 true _let_20 false _let_40 false _let_164)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_12 _let_161 _let_98 (not _let_162)))) (ASSUME :args (_let_13)) _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_147)) :args _let_60)) _let_61 :args (_let_162 false _let_6)) :args (_let_161 true _let_12 false _let_97 false _let_162)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_128)) :args _let_52)) _let_53 :args (_let_143 false _let_7)) _let_160 _let_37 _let_159 _let_86 _let_76 _let_158 _let_155 _let_38 (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_136 _let_134 _let_138 (not _let_139)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.e_4 tptp.e_1 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_154)) :args _let_110)) _let_111 :args (_let_139 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_20 _let_150 _let_148 (not _let_151)))) _let_153 _let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_118)) _let_119 :args (_let_151 false _let_3)) :args (_let_148 true _let_20 false _let_149 false _let_151)) (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_8 _let_134 _let_89 (not _let_135)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.e_2 tptp.e_4 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_147)) :args _let_60)) _let_61 :args (_let_135 false _let_6)) (ASSUME :args (_let_9)) :args (_let_134 true _let_33 false _let_36 true _let_30 false _let_28 false _let_29 true _let_32 false _let_146 true _let_16 true _let_31 false _let_69 true _let_22 false _let_141 true _let_142 true _let_140 false _let_143 false _let_26 false _let_29 false _let_66 true _let_71 false _let_75 true _let_72 false _let_27 false _let_28 true _let_137 false _let_139 true _let_136 true _let_73 false _let_135 true _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_16 _let_57 _let_132 (not _let_133)))) _let_131 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_60)) _let_61 :args (_let_133 false _let_6)) :args (_let_132 true _let_16 false _let_56 false _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_16 _let_129 _let_98 (not _let_130)))) _let_131 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_2 tptp.e_4 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_43)) _let_44 :args (_let_130 false _let_5)) :args (_let_129 true _let_16 false _let_97 false _let_130)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_128)) :args _let_52)) _let_53 :args (_let_127 false _let_7)) :args (_let_106 false _let_28 false _let_26 true _let_126 true _let_125 true _let_124 false _let_127)))) (let ((_let_169 (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_170 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_1))) (let ((_let_171 (not _let_170))) (let ((_let_172 (or _let_145 _let_171 _let_169))) (let ((_let_173 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_4))) (let ((_let_174 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_3))) (let ((_let_175 (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_2))) (let ((_let_176 (or _let_74 _let_35 _let_170 _let_175 _let_174 _let_173))) (let ((_let_177 (tptp.product2 tptp.e_4 tptp.e_4 tptp.e_2))) (let ((_let_178 (not _let_173))) (let ((_let_179 (or _let_107 _let_178 _let_177))) (let ((_let_180 (not _let_177))) (let ((_let_181 (tptp.product2 tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_182 (not _let_181))) (let ((_let_183 (or _let_182 _let_180 _let_10))) (let ((_let_184 (not _let_174))) (let ((_let_185 (or _let_184 _let_78 _let_18))) (let ((_let_186 (not _let_175))) (let ((_let_187 (or _let_57 _let_186 _let_18))) (let ((_let_188 (not _let_169))) (let ((_let_189 (or _let_150 _let_188 _let_24))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_167 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_169 _let_145 _let_171 (not _let_172)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_189)) :args ((or _let_24 _let_150 _let_188 (not _let_189)))) _let_50 _let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args _let_45) :args _let_118)) _let_119 :args (_let_189 false _let_3)) :args (_let_188 true _let_24 false _let_149 false _let_189)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_35 _let_74 _let_170 _let_175 _let_174 _let_173 (not _let_176)))) _let_38 _let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_187)) :args ((or _let_18 _let_57 _let_186 (not _let_187)))) _let_85 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_43)) _let_44 :args (_let_187 false _let_5)) :args (_let_186 true _let_18 false _let_56 false _let_187)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_185)) :args ((or _let_18 _let_184 _let_78 (not _let_185)))) _let_85 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.e_3 tptp.e_2 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_60)) _let_61 :args (_let_185 false _let_6)) :args (_let_184 true _let_18 false _let_77 false _let_185)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_107 _let_178 _let_177 (not _let_179)))) _let_168 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_10 _let_180 _let_182 (not _let_183)))) (ASSUME :args (_let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_181 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_118)) _let_119 :args (_let_183 false _let_3)) :args (_let_180 true _let_10 false _let_181 false _let_183)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.e_2 tptp.e_4 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_110)) _let_111 :args (_let_179 false _let_1)) :args (_let_178 false _let_106 true _let_177 false _let_179)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_128)) :args _let_52)) _let_53 :args (_let_176 false _let_7)) :args (_let_170 false _let_28 false _let_27 true _let_175 true _let_174 true _let_173 false _let_176)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_154)) :args _let_110)) _let_111 :args (_let_172 false _let_1)) :args (_let_145 true _let_169 false _let_170 false _let_172)) (MACRO_RESOLUTION_TRUST _let_166 _let_165 (MACRO_RESOLUTION_TRUST _let_159 _let_38 _let_155 _let_158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_16 _let_89 _let_88 (not _let_90)))) _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_74 _let_95 _let_87 _let_94 _let_93 _let_92 (not _let_96)))) _let_155 _let_160 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_107 _let_105 _let_108 (not _let_109)))) _let_168 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_14 _let_116 _let_114 (not _let_117)))) _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_115 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_118)) _let_119 :args (_let_117 false _let_3)) :args (_let_114 true _let_14 false _let_115 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.e_4 tptp.e_3 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_110)) _let_111 :args (_let_109 false _let_1)) :args (_let_108 false _let_106 true _let_105 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_14 _let_78 _let_103 (not _let_104)))) _let_102 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_43)) _let_44 :args (_let_104 false _let_5)) :args (_let_103 true _let_14 false _let_77 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_14 _let_98 _let_99 (not _let_100)))) _let_102 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.e_4 tptp.e_3 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_60)) _let_61 :args (_let_100 false _let_6)) :args (_let_99 true _let_14 false _let_97 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_52)) _let_53 :args (_let_96 false _let_7)) :args (_let_87 false _let_27 false _let_26 true _let_94 true _let_93 true _let_92 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_2 tptp.e_3 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_43)) _let_44 :args (_let_90 false _let_5)) :args (_let_89 true _let_16 false _let_87 false _let_90)) _let_86 _let_76 :args (_let_66 false _let_28 false _let_27 true _let_72 true _let_73 true _let_71 false _let_75)) _let_70 :args (_let_68 true _let_22 false _let_66 false _let_69)) _let_65 _let_55 _let_51 _let_38 _let_37 :args (false true _let_32 true _let_31 true _let_33 false _let_36 true _let_30 false _let_28 false _let_29)) :args ((tptp.next tptp.e_1 tptp.e_2) (tptp.next tptp.e_2 tptp.e_3) (tptp.next tptp.e_3 tptp.e_4) (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_3 tptp.e_2) (tptp.greater tptp.e_4 tptp.e_2) (tptp.greater tptp.e_4 tptp.e_3) (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (or (not (tptp.product X tptp.e_1 Y)) (not (tptp.next X X1)) (not (tptp.greater Y X1)))) _let_29 _let_28 _let_27 _let_26 _let_25 _let_23 _let_21 (not (tptp.equalish tptp.e_2 tptp.e_1)) _let_19 _let_17 (not (tptp.equalish tptp.e_3 tptp.e_1)) (not (tptp.equalish tptp.e_3 tptp.e_2)) _let_15 _let_13 _let_11 _let_9 _let_7 (forall ((X $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.71  )
% 0.23/0.71  % SZS output end Proof for GRP124-7.004
% 0.23/0.71  % cvc5---1.0.5 exiting
% 0.23/0.72  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------