TSTP Solution File: GRP129-4.004 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP129-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 00:24:40 EDT 2023
% Result : Unsatisfiable 0.44s 0.67s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP129-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 20:47:45 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.iAkvFlkyWv/cvc5---1.0.5_18817.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP129-4.004
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18817.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.44/0.67 % SZS status Unsatisfiable for GRP129-4.004
% 0.44/0.67 % SZS output start Proof for GRP129-4.004
% 0.44/0.67 (
% 0.44/0.67 (let ((_let_1 (forall ((Y $$unsorted) (X $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product Y X Z1)) (not (tptp.product X Z1 Z2)) (tptp.product Z1 Y 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) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y W)) (not (tptp.product X Y Z)) (tptp.equalish W Z))))) (let ((_let_5 (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_6 (tptp.equalish tptp.e_3 tptp.e_1))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.equalish tptp.e_1 tptp.e_4))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.group_element tptp.e_4))) (let ((_let_17 (tptp.group_element tptp.e_3))) (let ((_let_18 (tptp.group_element tptp.e_1))) (let ((_let_19 (forall ((X $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted) (Y $$unsorted)) (or (tptp.product X Z1 Z2) (not (tptp.product Z1 Y Z2)) (not (tptp.product Y X Z1)))))) (let ((_let_20 (forall ((Y $$unsorted) (X $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (tptp.product Y X Z1) (not (tptp.product Z1 Y Z2)) (not (tptp.product X Z1 Z2)))))) (let ((_let_21 (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 ((_let_22 (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))))) (let ((_let_23 (tptp.product tptp.e_1 tptp.e_3 tptp.e_3))) (let ((_let_24 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.product tptp.e_3 tptp.e_2 tptp.e_3))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_23 _let_27 _let_25))) (let ((_let_29 (tptp.product tptp.e_3 tptp.e_4 tptp.e_1))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_23))) (let ((_let_32 (tptp.product tptp.e_4 tptp.e_1 tptp.e_3))) (let ((_let_33 (or _let_32 _let_31 _let_30))) (let ((_let_34 (_let_19))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not (= (tptp.product X Z1 Z2) true)))) (let ((_let_37 (_let_36 (not (= (tptp.product Y X Z1) false))))) (let ((_let_38 (tptp.product tptp.e_4 tptp.e_4 tptp.e_1))) (let ((_let_39 (tptp.product tptp.e_2 tptp.e_4 tptp.e_1))) (let ((_let_40 (tptp.product tptp.e_1 tptp.e_4 tptp.e_1))) (let ((_let_41 (not _let_18))) (let ((_let_42 (not _let_16))) (let ((_let_43 (or _let_42 _let_41 _let_40 _let_39 _let_29 _let_38))) (let ((_let_44 (_let_22))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 ((not (= (tptp.product tptp.e_1 X Y) true))))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_43 false _let_22)))) (let ((_let_48 (tptp.product tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_49 (not _let_48))) (let ((_let_50 (not _let_38))) (let ((_let_51 (or _let_50 _let_49 _let_10))) (let ((_let_52 (_let_4))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (not (= (tptp.product X Y Z) false)))) (let ((_let_55 (or _let_48 _let_50 _let_50))) (let ((_let_56 (tptp.product tptp.e_4 tptp.e_4 tptp.e_2))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_48 _let_57 _let_57))) (let ((_let_59 (tptp.product tptp.e_4 tptp.e_4 tptp.e_3))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_48 _let_60 _let_60))) (let ((_let_62 (or _let_42 _let_42 _let_38 _let_56 _let_59 _let_48))) (let ((_let_63 (_let_20))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (not (= (tptp.product Z1 Y Z2) false)))) (let ((_let_66 (_let_65 (not (= (tptp.product X Z1 Z2) false))))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_58 false _let_20)))) (let ((_let_68 (REORDERING (FACTORING (CNF_OR_POS :args (_let_58))) :args ((or _let_48 _let_57 (not _let_58)))))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_61 false _let_20)))) (let ((_let_70 (REORDERING (FACTORING (CNF_OR_POS :args (_let_61))) :args ((or _let_48 _let_60 (not _let_61)))))) (let ((_let_71 (ASSUME :args (_let_16)))) (let ((_let_72 (_let_5))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 ((not (= (tptp.product X Y tptp.e_1) true))))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_72)) _let_73 :args (_let_62 false _let_5)))) (let ((_let_76 (REORDERING (FACTORING (CNF_OR_POS :args (_let_62))) :args ((or _let_42 _let_38 _let_56 _let_48 _let_59 (not _let_62)))))) (let ((_let_77 (MACRO_RESOLUTION_TRUST _let_76 _let_75 _let_71 _let_70 _let_69 _let_68 _let_67 (REORDERING (FACTORING (CNF_OR_POS :args (_let_55))) :args ((or _let_50 _let_48 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_55 false _let_20)) :args (_let_48 false _let_62 false _let_16 true _let_59 false _let_61 true _let_56 false _let_58 true _let_38 false _let_55)))) (let ((_let_78 (ASSUME :args (_let_11)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_10 _let_50 _let_49 (not _let_51)))) _let_78 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.e_4 tptp.e_4 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y W) false)) _let_54))) :args _let_52)) _let_53 :args (_let_51 false _let_4)) :args (_let_50 true _let_10 false _let_48 false _let_51)))) (let ((_let_80 (tptp.product tptp.e_4 tptp.e_1 tptp.e_1))) (let ((_let_81 (not _let_39))) (let ((_let_82 (tptp.product tptp.e_1 tptp.e_2 tptp.e_4))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81 _let_80))) (let ((_let_85 (_let_1))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((not (= (tptp.product Y X Z1) false)) (not (= (tptp.product X Z1 Z2) false))))) (let ((_let_88 (tptp.product tptp.e_1 tptp.e_4 tptp.e_4))) (let ((_let_89 (tptp.product tptp.e_1 tptp.e_3 tptp.e_4))) (let ((_let_90 (tptp.product tptp.e_1 tptp.e_1 tptp.e_4))) (let ((_let_91 (or _let_41 _let_42 _let_90 _let_82 _let_89 _let_88))) (let ((_let_92 (_let_21))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 ((not (= (tptp.product X tptp.e_1 Y) true))))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_92)) _let_93 :args (_let_91 false _let_21)))) (let ((_let_96 (not _let_88))) (let ((_let_97 (or _let_96 _let_49 _let_10))) (let ((_let_98 (or _let_96 _let_50 _let_80))) (let ((_let_99 (_let_2))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (not (= (tptp.product Z Y X) false)))) (let ((_let_102 ((not (= (tptp.product W Y X) false)) _let_101))) (let ((_let_103 (not _let_80))) (let ((_let_104 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_40 _let_105 _let_103))) (let ((_let_107 (tptp.product tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_104 _let_108 _let_108))) (let ((_let_110 (tptp.product tptp.e_1 tptp.e_1 tptp.e_3))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_104 _let_111 _let_111))) (let ((_let_113 (not _let_90))) (let ((_let_114 (or _let_104 _let_113 _let_113))) (let ((_let_115 (or _let_41 _let_41 _let_104 _let_107 _let_110 _let_90))) (let ((_let_116 ((not (= (tptp.product Y X Z1) true)) _let_65))) (let ((_let_117 (ASSUME :args (_let_18)))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_115))) :args ((or _let_41 _let_104 _let_107 _let_110 _let_90 (not _let_115)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.e_1 tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_72)) _let_73 :args (_let_115 false _let_5)) _let_117 (REORDERING (FACTORING (CNF_OR_POS :args (_let_114))) :args ((or _let_104 _let_113 (not _let_114)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_114 false _let_20)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_112))) :args ((or _let_104 _let_111 (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_63)) _let_64 :args (_let_112 false _let_20)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_109))) :args ((or _let_104 _let_108 (not _let_109)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_63)) _let_64 :args (_let_109 false _let_20)) :args (_let_104 false _let_115 false _let_18 true _let_90 false _let_114 true _let_110 false _let_112 true _let_107 false _let_109)))) (let ((_let_119 (not _let_40))) (let ((_let_120 (or _let_105 _let_119 _let_10))) (let ((_let_121 (_let_3))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (not (= (tptp.product X Z Y) false)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_10 _let_105 _let_119 (not _let_120)))) _let_78 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X W Y) false)) _let_123))) :args _let_121)) _let_122 :args (_let_120 false _let_3)) :args (_let_119 true _let_10 false _let_104 false _let_120)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_40 _let_105 _let_103 (not _let_106)))) _let_124 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_4 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_106 false _let_20)) :args (_let_103 true _let_40 false _let_104 false _let_106)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST _let_76 _let_75 _let_71 _let_70 _let_69 _let_68 _let_67 (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_80 _let_50 _let_96 (not _let_98)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_1 tptp.e_4 tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_98 false _let_1)) _let_125 (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_10 _let_96 _let_49 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.e_1 tptp.e_4 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_99)) _let_100 :args (_let_97 false _let_2)) _let_78 :args (_let_96 false _let_62 false _let_16 true _let_59 false _let_61 true _let_56 false _let_58 true _let_38 false _let_98 true _let_80 true _let_48 false _let_97 true _let_10)))) (let ((_let_127 (tptp.product tptp.e_3 tptp.e_3 tptp.e_4))) (let ((_let_128 (not _let_127))) (let ((_let_129 (not _let_89))) (let ((_let_130 (or _let_129 _let_128 _let_12))) (let ((_let_131 (tptp.product tptp.e_3 tptp.e_1 tptp.e_4))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_110 _let_132 _let_129))) (let ((_let_134 (tptp.product tptp.e_4 tptp.e_1 tptp.e_4))) (let ((_let_135 (tptp.product tptp.e_2 tptp.e_1 tptp.e_4))) (let ((_let_136 (or _let_41 _let_42 _let_90 _let_135 _let_131 _let_134))) (let ((_let_137 (not _let_135))) (let ((_let_138 (tptp.product tptp.e_4 tptp.e_2 tptp.e_1))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_139 _let_137 _let_88))) (let ((_let_141 (tptp.product tptp.e_4 tptp.e_3 tptp.e_1))) (let ((_let_142 (or _let_42 _let_41 _let_80 _let_138 _let_141 _let_38))) (let ((_let_143 (tptp.product tptp.e_3 tptp.e_4 tptp.e_4))) (let ((_let_144 (not _let_143))) (let ((_let_145 (not _let_141))) (let ((_let_146 (or _let_38 _let_145 _let_144))) (let ((_let_147 (tptp.product tptp.e_3 tptp.e_2 tptp.e_4))) (let ((_let_148 (not _let_17))) (let ((_let_149 (or _let_148 _let_42 _let_131 _let_147 _let_127 _let_143))) (let ((_let_150 (not _let_147))) (let ((_let_151 (tptp.product tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_152 (or _let_151 _let_137 _let_150))) (let ((_let_153 (or _let_24 _let_150 _let_129))) (let ((_let_154 (not _let_151))) (let ((_let_155 (tptp.product tptp.e_3 tptp.e_1 tptp.e_2))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_110 _let_156 _let_154))) (let ((_let_158 (tptp.product tptp.e_3 tptp.e_3 tptp.e_2))) (let ((_let_159 (not _let_158))) (let ((_let_160 (or _let_154 _let_159 _let_12))) (let ((_let_161 (or _let_26 _let_25 _let_154))) (let ((_let_162 (tptp.product tptp.e_3 tptp.e_3 tptp.e_1))) (let ((_let_163 (not _let_162))) (let ((_let_164 (or _let_155 _let_154 _let_163))) (let ((_let_165 (tptp.product tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_27 _let_166 _let_8))) (let ((_let_168 (or _let_148 _let_148 _let_162 _let_158 _let_165 _let_127))) (let ((_let_169 (ASSUME :args (_let_13)))) (let ((_let_170 (or _let_111 _let_105 _let_6))) (let ((_let_171 (_let_54 (not (= (tptp.equalish W Z) true))))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_6 _let_105 _let_111 (not _let_170)))) (ASSUME :args (_let_7)) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_171)) :args _let_52)) _let_53 :args (_let_170 false _let_4)) :args (_let_111 true _let_6 false _let_104 false _let_170)))) (let ((_let_173 (not _let_134))) (let ((_let_174 (or _let_88 _let_173 _let_49))) (let ((_let_175 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_174)) :args ((or _let_88 _let_173 _let_49 (not _let_174)))) _let_126 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_4 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_174 false _let_20)) :args (_let_173 true _let_88 false _let_48 false _let_174)))) (let ((_let_176 (or _let_105 _let_113 _let_10))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_10 _let_105 _let_113 (not _let_176)))) _let_78 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_171)) :args _let_52)) _let_53 :args (_let_176 false _let_4)) :args (_let_113 true _let_10 false _let_104 false _let_176)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_92)) _let_93 :args (_let_142 false _let_21)))) (let ((_let_179 (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_41 _let_42 _let_80 _let_141 _let_38 _let_138 (not _let_142)))))) (let ((_let_180 (_let_36 (not (= (tptp.product Z1 Y Z2) false))))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_4 tptp.e_4 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_180)) :args _let_34)) _let_35 :args (_let_146 false _let_19)))) (let ((_let_182 (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_38 _let_145 _let_144 (not _let_146)))))) (let ((_let_183 (ASSUME :args (_let_17)))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.e_1 tptp.e_3 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equalish W Z) true)) _let_101))) :args _let_99)) _let_100 :args (_let_160 false _let_2)))) (let ((_let_185 (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_12 _let_154 _let_159 (not _let_160)))))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_3 tptp.e_2 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_34)) _let_35 :args (_let_161 false _let_19)))) (let ((_let_187 (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_25 _let_154 _let_26 (not _let_161)))))) (let ((_let_188 ((not (= (tptp.equalish W Z) true)) _let_123))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_168))) :args ((or _let_148 _let_162 _let_158 _let_165 _let_127 (not _let_168)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_72)) _let_73 :args (_let_168 false _let_5)) _let_183 (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_8 _let_27 _let_166 (not _let_167)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_3 tptp.e_2 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_188)) :args _let_121)) _let_122 :args (_let_167 false _let_3)) (ASSUME :args (_let_9)) (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_155 _let_163 _let_154 (not _let_164)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_34)) _let_35 :args (_let_164 false _let_19)) _let_187 _let_186 _let_185 _let_184 _let_169 (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_110 _let_154 _let_156 (not _let_157)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_157 false _let_20)) _let_172 (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_24 _let_129 _let_150 (not _let_153)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_153 false _let_20)) (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_151 _let_137 _let_150 (not _let_152)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_3 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_152 false _let_20)) (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_148 _let_42 _let_131 _let_127 _let_143 _let_147 (not _let_149)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_92)) _let_93 :args (_let_149 false _let_21)) _let_71 _let_183 _let_182 _let_181 _let_79 _let_179 _let_125 _let_178 _let_79 _let_71 _let_117 (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_88 _let_137 _let_139 (not _let_140)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_4 tptp.e_2 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_140 false _let_1)) _let_126 (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_41 _let_42 _let_90 _let_135 _let_131 _let_134 (not _let_136)))) _let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_136 false _let_22)) _let_175 _let_71 _let_117 (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_110 _let_132 _let_129 (not _let_133)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_133 false _let_20)) _let_172 (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_12 _let_129 _let_128 (not _let_130)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.e_1 tptp.e_3 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_99)) _let_100 :args (_let_130 false _let_2)) _let_169 :args (_let_129 false _let_168 false _let_17 true _let_165 false _let_167 true _let_8 true _let_162 false _let_164 false _let_26 false _let_161 true _let_158 false _let_160 true _let_12 true _let_155 false _let_157 true _let_110 false _let_24 false _let_153 false _let_151 false _let_152 false _let_147 false _let_149 false _let_16 false _let_17 true _let_143 false _let_146 true _let_38 false _let_141 true _let_80 false _let_142 true _let_38 false _let_16 false _let_18 true _let_138 false _let_140 true _let_88 false _let_135 true _let_90 false _let_136 true _let_134 false _let_16 false _let_18 true _let_131 false _let_133 true _let_110 true _let_127 false _let_130 true _let_12)))) (let ((_let_190 (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_41 _let_42 _let_90 _let_82 _let_89 _let_88 (not _let_91)))))) (let ((_let_191 (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_41 _let_42 _let_40 _let_39 _let_29 _let_38 (not _let_43)))))) (let ((_let_192 (tptp.product tptp.e_1 tptp.e_4 tptp.e_3))) (let ((_let_193 (not _let_192))) (let ((_let_194 (not _let_32))) (let ((_let_195 (or _let_90 _let_194 _let_193))) (let ((_let_196 (tptp.product tptp.e_1 tptp.e_3 tptp.e_1))) (let ((_let_197 (or _let_196 _let_30 _let_194))) (let ((_let_198 (tptp.product tptp.e_1 tptp.e_4 tptp.e_2))) (let ((_let_199 (or _let_41 _let_42 _let_40 _let_198 _let_192 _let_88))) (let ((_let_200 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_201 (not _let_198))) (let ((_let_202 (or _let_201 _let_139 _let_200))) (let ((_let_203 (or _let_134 _let_83 _let_81))) (let ((_let_204 (or _let_194 _let_129 _let_143))) (let ((_let_205 (not _let_196))) (let ((_let_206 (or _let_105 _let_205 _let_12))) (let ((_let_207 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_206)) :args ((or _let_12 _let_105 _let_205 (not _let_206)))) _let_169 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_188)) :args _let_121)) _let_122 :args (_let_206 false _let_3)) :args (_let_205 true _let_12 false _let_104 false _let_206)))) (let ((_let_208 (not _let_200))) (let ((_let_209 (or _let_105 _let_208 _let_14))) (let ((_let_210 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_204)) :args ((or _let_194 _let_129 _let_143 (not _let_204)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_4 tptp.e_1 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_204 false _let_1)) _let_182 _let_181 _let_79 _let_190 _let_126 _let_95 _let_177 _let_71 _let_117 _let_179 _let_125 _let_178 _let_79 _let_71 _let_117 (REORDERING (CNF_OR_POS :args (_let_203)) :args ((or _let_134 _let_81 _let_83 (not _let_203)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_4 tptp.e_1 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_180)) :args _let_34)) _let_35 :args (_let_203 false _let_19)) _let_175 (REORDERING (CNF_OR_POS :args (_let_202)) :args ((or _let_200 _let_139 _let_201 (not _let_202)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_1 tptp.e_4 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_202 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_209)) :args ((or _let_14 _let_105 _let_208 (not _let_209)))) (ASSUME :args (_let_15)) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_99)) _let_100 :args (_let_209 false _let_2)) :args (_let_208 true _let_14 false _let_104 false _let_209)) _let_191 _let_79 _let_47 _let_124 _let_71 _let_117 (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_41 _let_42 _let_40 _let_192 _let_88 _let_198 (not _let_199)))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_72)) _let_73 :args (_let_199 false _let_5)) _let_126 _let_71 _let_117 (REORDERING (CNF_OR_POS :args (_let_197)) :args ((or _let_196 _let_194 _let_30 (not _let_197)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_34)) _let_35 :args (_let_197 false _let_19)) _let_207 (REORDERING (CNF_OR_POS :args (_let_195)) :args ((or _let_90 _let_194 _let_193 (not _let_195)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_1 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_63)) _let_64 :args (_let_195 false _let_20)) _let_177 :args (_let_194 false _let_204 true _let_143 false _let_146 true _let_38 false _let_89 true _let_88 false _let_91 true _let_90 false _let_16 false _let_18 false _let_141 true _let_80 false _let_142 true _let_38 false _let_16 false _let_18 true _let_82 false _let_203 true _let_134 true _let_138 false _let_202 true _let_200 false _let_39 true _let_38 false _let_43 true _let_40 false _let_16 false _let_18 false _let_198 true _let_40 false _let_199 true _let_88 false _let_16 false _let_18 true _let_29 false _let_197 true _let_196 true _let_192 false _let_195 true _let_90)))) (let ((_let_211 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 _let_31 (not _let_33)))) _let_210 (MACRO_RESOLUTION_TRUST _let_191 _let_117 _let_71 _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_80 _let_81 _let_83 (not _let_84)))) _let_125 (MACRO_RESOLUTION_TRUST _let_190 _let_117 _let_71 _let_177 _let_189 _let_126 _let_95 :args (_let_82 false _let_18 false _let_16 true _let_90 true _let_89 true _let_88 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_1 tptp.e_2 tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_84 false _let_1)) :args (_let_81 true _let_80 false _let_82 false _let_84)) _let_79 _let_47 :args (_let_29 false _let_18 false _let_16 true _let_40 true _let_39 true _let_38 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_4 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_34)) _let_35 :args (_let_33 false _let_19)) :args (_let_31 true _let_32 false _let_29 false _let_33)))) (let ((_let_212 (tptp.product tptp.e_3 tptp.e_1 tptp.e_3))) (let ((_let_213 (or _let_41 _let_148 _let_110 _let_24 _let_212 _let_32))) (let ((_let_214 (not _let_212))) (let ((_let_215 (or _let_214 _let_154 _let_158))) (let ((_let_216 (or _let_41 _let_148 _let_196 _let_151 _let_23 _let_89))) (let ((_let_217 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_216)) :args ((or _let_41 _let_148 _let_196 _let_23 _let_89 _let_151 (not _let_216)))) _let_117 _let_183 _let_207 _let_211 _let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_72)) _let_73 :args (_let_216 false _let_5)) :args (_let_151 false _let_18 false _let_17 true _let_196 true _let_23 true _let_89 false _let_216)))) (let ((_let_218 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_213)) :args ((or _let_41 _let_148 _let_110 _let_24 _let_212 _let_32 (not _let_213)))) _let_117 _let_183 _let_172 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_215)) :args ((or _let_214 _let_154 _let_158 (not _let_215)))) _let_217 (MACRO_RESOLUTION_TRUST _let_185 _let_169 _let_217 _let_184 :args (_let_159 true _let_12 false _let_151 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_215 false _let_1)) :args (_let_214 false _let_151 true _let_158 false _let_215)) _let_210 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_213 false _let_22)) :args (_let_24 false _let_18 false _let_17 true _let_110 true _let_212 true _let_32 false _let_213)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_23 _let_25 _let_27 (not _let_28)))) (MACRO_RESOLUTION_TRUST _let_187 _let_218 _let_217 _let_186 :args (_let_26 false _let_24 false _let_151 false _let_161)) _let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_1 tptp.e_3 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_34)) _let_35 :args (_let_28 false _let_19)) _let_211 :args (false false _let_26 false _let_24 false _let_28 true _let_23)) :args (_let_22 _let_21 _let_20 _let_19 _let_18 (tptp.group_element tptp.e_2) _let_17 _let_16 _let_15 _let_13 _let_11 (not (tptp.equalish tptp.e_2 tptp.e_1)) _let_9 (not (tptp.equalish tptp.e_2 tptp.e_4)) _let_7 (not (tptp.equalish tptp.e_3 tptp.e_2)) (not (tptp.equalish tptp.e_3 tptp.e_4)) (not (tptp.equalish tptp.e_4 tptp.e_1)) (not (tptp.equalish tptp.e_4 tptp.e_2)) (not (tptp.equalish tptp.e_4 tptp.e_3)) _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.44/0.67 )
% 0.44/0.68 % SZS output end Proof for GRP129-4.004
% 0.44/0.68 % cvc5---1.0.5 exiting
% 0.44/0.68 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------