%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP126-1.004 : 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 00:24:33 EDT 2023

% Result   : Unsatisfiable 0.40s 0.58s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP126-1.004 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 28 20:38:25 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.47  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.DwN56poBhP/cvc5---1.0.5_22452.p...
% 0.20/0.48  ------- get file name : TPTP file name is GRP126-1.004
% 0.20/0.48  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22452.smt2...
% 0.20/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.40/0.58  % SZS status Unsatisfiable for GRP126-1.004
% 0.40/0.58  % SZS output start Proof for GRP126-1.004
% 0.40/0.59  (
% 0.40/0.59  (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product X Y Z1)) (not (tptp.product Y X Z2)) (tptp.product Z1 Z2 Y))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.product X X X)))) (let ((_let_3 (forall ((W $$unsorted) (Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.product W Y X)) (not (tptp.product Z Y X)) (tptp.equalish W Z))))) (let ((_let_4 (forall ((X $$unsorted) (W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X W Y)) (not (tptp.product X Z Y)) (tptp.equalish W Z))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y W)) (not (tptp.product X Y Z)) (tptp.equalish W Z))))) (let ((_let_6 (forall ((X $$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))))) (let ((_let_7 (tptp.equalish tptp.e_4 tptp.e_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.equalish tptp.e_4 tptp.e_1))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.equalish tptp.e_3 tptp.e_4))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.equalish tptp.e_3 tptp.e_2))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.equalish tptp.e_3 tptp.e_1))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.equalish tptp.e_2 tptp.e_4))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.equalish tptp.e_1 tptp.e_4))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.group_element tptp.e_4))) (let ((_let_30 (tptp.group_element tptp.e_3))) (let ((_let_31 (tptp.group_element tptp.e_2))) (let ((_let_32 (tptp.group_element tptp.e_1))) (let ((_let_33 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_34 (tptp.product tptp.e_2 tptp.e_1 tptp.e_4))) (let ((_let_35 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_36 (tptp.product tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_37 (not _let_32))) (let ((_let_38 (not _let_31))) (let ((_let_39 (or _let_38 _let_37 _let_33 _let_36 _let_35 _let_34))) (let ((_let_40 (ASSUME :args (_let_32)))) (let ((_let_41 (ASSUME :args (_let_31)))) (let ((_let_42 (not _let_33))) (let ((_let_43 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42 _let_27))) (let ((_let_46 (_let_3))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM))) (let ((_let_49 (_let_2))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_49)) _let_50 :args (_let_43 false _let_2)))) (let ((_let_52 (ASSUME :args (_let_28)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_27 _let_44 _let_42 (not _let_45)))) _let_52 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_48) :args _let_46)) _let_47 :args (_let_45 false _let_3)) :args (_let_42 true _let_27 false _let_43 false _let_45)))) (let ((_let_54 (_let_6))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_1) true))))) :args _let_54)) _let_55 :args (_let_39 false _let_6)))) (let ((_let_57 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_58 (not _let_57))) (let ((_let_59 (not _let_36))) (let ((_let_60 (or _let_59 _let_58 _let_27))) (let ((_let_61 (_let_4))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((not (= (tptp.product X Z Y) false)) (not (= (tptp.equalish W Z) true))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_49)) _let_50 :args (_let_57 false _let_2)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_27 _let_58 _let_59 (not _let_60)))) _let_52 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_60 false _let_4)) :args (_let_59 true _let_27 false _let_57 false _let_60)))) (let ((_let_66 (tptp.product tptp.e_3 tptp.e_3 tptp.e_1))) (let ((_let_67 (tptp.product tptp.e_1 tptp.e_2 tptp.e_3))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not _let_35))) (let ((_let_70 (or _let_69 _let_68 _let_66))) (let ((_let_71 (_let_1))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (not (= (tptp.product X Y Z1) false)))) (let ((_let_74 (_let_73 (not (= (tptp.product Y X Z2) false))))) (let ((_let_75 (tptp.product tptp.e_2 tptp.e_3 tptp.e_1))) (let ((_let_76 (not _let_75))) (let ((_let_77 (not _let_66))) (let ((_let_78 (or _let_77 _let_76 _let_13))) (let ((_let_79 (not (= (tptp.equalish W Z) true)))) (let ((_let_80 ((not (= (tptp.product W Y X) false)) _let_79))) (let ((_let_81 (tptp.product tptp.e_2 tptp.e_3 tptp.e_4))) (let ((_let_82 (tptp.product tptp.e_2 tptp.e_3 tptp.e_3))) (let ((_let_83 (tptp.product tptp.e_2 tptp.e_3 tptp.e_2))) (let ((_let_84 (not _let_30))) (let ((_let_85 (or _let_38 _let_84 _let_75 _let_83 _let_82 _let_81))) (let ((_let_86 ((not (= (tptp.product X Y tptp.e_2) true))))) (let ((_let_87 (not _let_81))) (let ((_let_88 (tptp.product tptp.e_1 tptp.e_3 tptp.e_4))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87 _let_27))) (let ((_let_91 (tptp.product tptp.e_1 tptp.e_3 tptp.e_3))) (let ((_let_92 (tptp.product tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_93 (tptp.product tptp.e_1 tptp.e_3 tptp.e_1))) (let ((_let_94 (or _let_37 _let_84 _let_93 _let_92 _let_91 _let_88))) (let ((_let_95 ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) (let ((_let_96 (not _let_91))) (let ((_let_97 (tptp.product tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_96 _let_15))) (let ((_let_100 ((not (= (tptp.product X X X) true))))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_49)) _let_50 :args (_let_97 false _let_2)))) (let ((_let_102 (ASSUME :args (_let_16)))) (let ((_let_103 (tptp.product tptp.e_2 tptp.e_2 tptp.e_1))) (let ((_let_104 (not _let_92))) (let ((_let_105 (tptp.product tptp.e_3 tptp.e_1 tptp.e_2))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_104 _let_103))) (let ((_let_108 (tptp.product tptp.e_1 tptp.e_4 tptp.e_2))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_104 _let_109 _let_11))) (let ((_let_111 (tptp.product tptp.e_4 tptp.e_3 tptp.e_2))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_104 _let_112 _let_23))) (let ((_let_114 (tptp.product tptp.e_3 tptp.e_1 tptp.e_4))) (let ((_let_115 (tptp.product tptp.e_3 tptp.e_1 tptp.e_3))) (let ((_let_116 (tptp.product tptp.e_3 tptp.e_1 tptp.e_1))) (let ((_let_117 (or _let_84 _let_37 _let_116 _let_105 _let_115 _let_114))) (let ((_let_118 (tptp.product tptp.e_1 tptp.e_4 tptp.e_4))) (let ((_let_119 (tptp.product tptp.e_1 tptp.e_4 tptp.e_3))) (let ((_let_120 (tptp.product tptp.e_1 tptp.e_4 tptp.e_1))) (let ((_let_121 (not _let_29))) (let ((_let_122 (or _let_37 _let_121 _let_120 _let_108 _let_119 _let_118))) (let ((_let_123 (not _let_114))) (let ((_let_124 (not _let_34))) (let ((_let_125 (or _let_124 _let_123 _let_19))) (let ((_let_126 (not _let_119))) (let ((_let_127 (or _let_126 _let_68 _let_7))) (let ((_let_128 (tptp.product tptp.e_1 tptp.e_2 tptp.e_4))) (let ((_let_129 (tptp.product tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_130 (tptp.product tptp.e_1 tptp.e_2 tptp.e_1))) (let ((_let_131 (or _let_37 _let_38 _let_130 _let_129 _let_67 _let_128))) (let ((_let_132 (not _let_128))) (let ((_let_133 (or _let_132 _let_69 _let_111))) (let ((_let_134 (not _let_103))) (let ((_let_135 (or _let_134 _let_58 _let_27))) (let ((_let_136 (_let_5))) (let ((_let_137 (ASSUME :args _let_136))) (let ((_let_138 (ASSUME :args (_let_24)))) (let ((_let_139 (ASSUME :args (_let_30)))) (let ((_let_140 (not _let_115))) (let ((_let_141 (or _let_98 _let_140 _let_15))) (let ((_let_142 (not _let_116))) (let ((_let_143 (or _let_44 _let_142 _let_25))) (let ((_let_144 (tptp.product tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_145 (not _let_144))) (let ((_let_146 (not _let_118))) (let ((_let_147 (or _let_146 _let_145 _let_23))) (let ((_let_148 (not _let_120))) (let ((_let_149 (or _let_148 _let_44 _let_9))) (let ((_let_150 (ASSUME :args (_let_20)))) (let ((_let_151 (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_37 _let_38 _let_33 _let_36 _let_35 _let_34 (not _let_39)))))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_131 false _let_6)))) (let ((_let_153 (not _let_129))) (let ((_let_154 (or _let_58 _let_153 _let_21))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_21 _let_153 _let_58 (not _let_154)))) (ASSUME :args (_let_22)) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_46)) _let_47 :args (_let_154 false _let_3)) :args (_let_153 true _let_21 false _let_57 false _let_154)))) (let ((_let_156 (not _let_130))) (let ((_let_157 (or _let_44 _let_156 _let_27))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_27 _let_44 _let_156 (not _let_157)))) _let_52 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args _let_48) :args _let_61)) _let_62 :args (_let_157 false _let_4)) :args (_let_156 true _let_27 false _let_43 false _let_157)))) (let ((_let_159 (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_37 _let_38 _let_130 _let_129 _let_67 _let_128 (not _let_131)))))) (let ((_let_160 ((not (= (tptp.product Z1 Z2 Y) true)) _let_73))) (let ((_let_161 (not _let_93))) (let ((_let_162 (or _let_161 _let_44 _let_15))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_37 _let_84 _let_93 _let_92 _let_91 _let_88 (not _let_94)))) _let_40 _let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_15 _let_44 _let_161 (not _let_162)))) _let_102 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_162 false _let_4)) :args (_let_161 true _let_15 false _let_43 false _let_162)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_132 _let_69 _let_111 (not _let_133)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.e_1 tptp.e_2 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_71)) _let_72 :args (_let_133 false _let_1)) _let_159 _let_158 _let_155 _let_152 _let_41 _let_40 _let_151 _let_65 _let_56 _let_53 _let_41 _let_40 (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_7 _let_68 _let_126 (not _let_127)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_1 tptp.e_4 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_127 false _let_4)) (ASSUME :args (_let_8)) (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_19 _let_124 _let_123 (not _let_125)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_2 tptp.e_1 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_46)) _let_47 :args (_let_125 false _let_3)) _let_150 (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_37 _let_121 _let_108 _let_120 _let_119 _let_118 (not _let_122)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_9 _let_44 _let_148 (not _let_149)))) (ASSUME :args (_let_10)) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_1 tptp.e_4 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_149 false _let_4)) :args (_let_148 true _let_9 false _let_43 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_54)) _let_55 :args (_let_122 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_23 _let_146 _let_145 (not _let_147)))) _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_49)) _let_50 :args (_let_144 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_1 tptp.e_4 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_46)) _let_47 :args (_let_147 false _let_3)) :args (_let_146 true _let_23 false _let_144 false _let_147)) (ASSUME :args (_let_29)) _let_40 (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_37 _let_84 _let_116 _let_105 _let_115 _let_114 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_25 _let_44 _let_142 (not _let_143)))) (ASSUME :args (_let_26)) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_46)) _let_47 :args (_let_143 false _let_3)) :args (_let_142 true _let_25 false _let_43 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_15 _let_140 _let_98 (not _let_141)))) _let_102 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_141 false _let_4)) :args (_let_140 true _let_15 false _let_97 false _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_54)) _let_55 :args (_let_117 false _let_6)) _let_139 _let_40 (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_23 _let_104 _let_112 (not _let_113)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_1 tptp.e_3 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_46)) _let_47 :args (_let_113 false _let_3)) _let_138 (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_11 _let_109 _let_104 (not _let_110)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_1 tptp.e_3 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_110 false _let_4)) (ASSUME :args (_let_12)) (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_103 _let_104 _let_106 (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_74)) :args _let_71)) _let_72 :args (_let_107 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_27 _let_58 _let_134 (not _let_135)))) _let_52 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equalish W Z) true)) (not (= (tptp.product X Y Z) false))))) :args _let_136)) _let_137 :args (_let_135 false _let_5)) :args (_let_134 true _let_27 false _let_57 false _let_135)) :args (_let_104 false _let_133 false _let_128 true _let_130 true _let_129 false _let_131 false _let_31 false _let_32 false _let_35 true _let_36 false _let_39 true _let_33 false _let_31 false _let_32 true _let_67 false _let_127 true _let_7 true _let_34 false _let_125 true _let_19 false _let_119 true _let_120 false _let_122 true _let_118 false _let_29 false _let_32 false _let_114 true _let_116 true _let_115 false _let_117 false _let_30 false _let_32 true _let_111 false _let_113 true _let_23 true _let_108 false _let_110 true _let_11 true _let_105 false _let_107 true _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_15 _let_96 _let_98 (not _let_99)))) _let_102 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_46)) _let_47 :args (_let_99 false _let_3)) :args (_let_96 true _let_15 false _let_97 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_54)) _let_55 :args (_let_94 false _let_6)) :args (_let_88 false _let_32 false _let_30 true _let_93 true _let_92 true _let_91 false _let_94)))) (let ((_let_164 (not _let_82))) (let ((_let_165 (or _let_164 _let_98 _let_19))) (let ((_let_166 (not _let_83))) (let ((_let_167 (or _let_166 _let_58 _let_13))) (let ((_let_168 (ASSUME :args (_let_14)))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_38 _let_84 _let_83 _let_75 _let_82 _let_81 (not _let_85)))) _let_41 _let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_13 _let_58 _let_166 (not _let_167)))) _let_168 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_2 tptp.e_3 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_167 false _let_4)) :args (_let_166 true _let_13 false _let_57 false _let_167)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_165)) :args ((or _let_19 _let_164 _let_98 (not _let_165)))) _let_150 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_2 tptp.e_3 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING (_let_79 (not (= (tptp.product Z Y X) false))))) :args _let_46)) _let_47 :args (_let_165 false _let_3)) :args (_let_164 true _let_19 false _let_97 false _let_165)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_27 _let_89 _let_87 (not _let_90)))) _let_52 _let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_1 tptp.e_3 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_46)) _let_47 :args (_let_90 false _let_3)) :args (_let_87 true _let_27 false _let_88 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_54)) _let_55 :args (_let_85 false _let_6)) :args (_let_75 false _let_31 false _let_30 true _let_83 true _let_82 true _let_81 false _let_85)))) (let ((_let_170 (or _let_89 _let_132 _let_13))) (let ((_let_171 (MACRO_RESOLUTION_TRUST _let_159 _let_40 _let_41 _let_158 _let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_13 _let_132 _let_89 (not _let_170)))) _let_168 _let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_1 tptp.e_3 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_170 false _let_4)) :args (_let_132 true _let_13 false _let_88 false _let_170)) _let_152 :args (_let_67 false _let_32 false _let_31 true _let_130 true _let_129 true _let_128 false _let_131)))) (let ((_let_172 (tptp.product tptp.e_4 tptp.e_3 tptp.e_1))) (let ((_let_173 (or _let_124 _let_68 _let_172))) (let ((_let_174 (not _let_172))) (let ((_let_175 (or _let_76 _let_174 _let_17))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_151 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_68 _let_124 _let_172 (not _let_173)))) _let_171 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_175)) :args ((or _let_17 _let_76 _let_174 (not _let_175)))) (ASSUME :args (_let_18)) _let_169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_2 tptp.e_3 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_46)) _let_47 :args (_let_175 false _let_3)) :args (_let_174 true _let_17 false _let_75 false _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.e_2 tptp.e_1 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_71)) _let_72 :args (_let_173 false _let_1)) :args (_let_124 false _let_67 true _let_172 false _let_173)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_68 _let_69 _let_66 (not _let_70)))) _let_171 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_13 _let_76 _let_77 (not _let_78)))) _let_168 _let_169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.e_3 tptp.e_3 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_46)) _let_47 :args (_let_78 false _let_3)) :args (_let_77 true _let_13 false _let_75 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_74)) :args _let_71)) _let_72 :args (_let_70 false _let_1)) :args (_let_69 false _let_67 true _let_66 false _let_70)) _let_65 _let_56 _let_53 _let_41 _let_40 :args (false true _let_34 true _let_35 true _let_36 false _let_39 true _let_33 false _let_31 false _let_32)) :args (_let_32 _let_31 _let_30 _let_29 _let_28 _let_26 _let_24 _let_22 _let_20 _let_18 _let_16 _let_14 _let_12 _let_10 _let_8 (not (tptp.equalish tptp.e_4 tptp.e_3)) _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.40/0.59  )
% 0.40/0.59  % SZS output end Proof for GRP126-1.004
% 0.40/0.59  % cvc5---1.0.5 exiting
% 0.40/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------