TSTP Solution File: GRP124-1.004 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP124-1.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 00:24:28 EDT 2023
% Result : Unsatisfiable 0.38s 0.63s
% Output : Proof 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP124-1.004 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n029.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 23:30:56 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/sandbox/tmp/tmp.ydLQGzV3Vu/cvc5---1.0.5_7498.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP124-1.004
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7498.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.38/0.63 % SZS status Unsatisfiable for GRP124-1.004
% 0.38/0.63 % SZS output start Proof for GRP124-1.004
% 0.45/0.63 (
% 0.45/0.63 (let ((_let_1 (forall ((X1 $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted) (X2 $$unsorted) (Y2 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product X1 Y1 Z1)) (not (tptp.product X2 Y2 Z1)) (not (tptp.product Z2 X1 Y1)) (not (tptp.product Z2 X2 Y2)) (tptp.equalish X1 X2))))) (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)) (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_4 tptp.e_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.equalish tptp.e_4 tptp.e_2))) (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_3 tptp.e_1))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.equalish tptp.e_2 tptp.e_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.equalish tptp.e_1 tptp.e_4))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.group_element tptp.e_4))) (let ((_let_31 (tptp.group_element tptp.e_3))) (let ((_let_32 (tptp.group_element tptp.e_2))) (let ((_let_33 (tptp.group_element tptp.e_1))) (let ((_let_34 (tptp.product tptp.e_2 tptp.e_3 tptp.e_2))) (let ((_let_35 (tptp.product tptp.e_2 tptp.e_3 tptp.e_4))) (let ((_let_36 (tptp.product tptp.e_2 tptp.e_3 tptp.e_3))) (let ((_let_37 (tptp.product tptp.e_2 tptp.e_3 tptp.e_1))) (let ((_let_38 (not _let_31))) (let ((_let_39 (not _let_32))) (let ((_let_40 (or _let_39 _let_38 _let_37 _let_34 _let_36 _let_35))) (let ((_let_41 (ASSUME :args (_let_32)))) (let ((_let_42 (ASSUME :args (_let_31)))) (let ((_let_43 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_44 (not _let_43))) (let ((_let_45 (not _let_34))) (let ((_let_46 (or _let_45 _let_44 _let_14))) (let ((_let_47 (_let_4))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (not (= (tptp.equalish W Z) true)))) (let ((_let_50 ((not (= (tptp.product X Z Y) false)) _let_49))) (let ((_let_51 (_let_2))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_51)) _let_52 :args (_let_43 false _let_2)))) (let ((_let_54 (ASSUME :args (_let_15)))) (let ((_let_55 (_let_5))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (not _let_36))) (let ((_let_58 (tptp.product tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57 _let_14))) (let ((_let_61 (_let_3))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (not (= (tptp.equalish W Z) true)))) (let ((_let_64 ((not (= (tptp.product Z Y X) false)) _let_63))) (let ((_let_65 ((not (= (tptp.product X X X) true))))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_51)) _let_52 :args (_let_58 false _let_2)))) (let ((_let_67 (tptp.product tptp.e_1 tptp.e_3 tptp.e_4))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not _let_35))) (let ((_let_70 (or _let_69 _let_68 _let_22))) (let ((_let_71 (tptp.product tptp.e_1 tptp.e_3 tptp.e_3))) (let ((_let_72 (tptp.product tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_73 (tptp.product tptp.e_1 tptp.e_3 tptp.e_1))) (let ((_let_74 (not _let_33))) (let ((_let_75 (or _let_74 _let_38 _let_73 _let_72 _let_71 _let_67))) (let ((_let_76 ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) (let ((_let_77 (not _let_71))) (let ((_let_78 (or _let_77 _let_59 _let_26))) (let ((_let_79 ((not (= (tptp.product W Y X) false)) _let_63))) (let ((_let_80 (ASSUME :args (_let_27)))) (let ((_let_81 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_82 (not _let_81))) (let ((_let_83 (not _let_72))) (let ((_let_84 (or _let_44 _let_83 _let_44 _let_82 _let_22))) (let ((_let_85 (_let_1))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((not (= (tptp.product X1 Y1 Z1) false)) (not (= (tptp.product Z2 X2 Y2) false))))) (let ((_let_88 (tptp.product tptp.e_2 tptp.e_1 tptp.e_4))) (let ((_let_89 (tptp.product tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_90 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_91 (or _let_39 _let_74 _let_90 _let_89 _let_81 _let_88))) (let ((_let_92 (not _let_88))) (let ((_let_93 (tptp.product tptp.e_3 tptp.e_1 tptp.e_4))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92 _let_14))) (let ((_let_96 (tptp.product tptp.e_3 tptp.e_1 tptp.e_3))) (let ((_let_97 (tptp.product tptp.e_3 tptp.e_1 tptp.e_2))) (let ((_let_98 (tptp.product tptp.e_3 tptp.e_1 tptp.e_1))) (let ((_let_99 (or _let_38 _let_74 _let_98 _let_97 _let_96 _let_93))) (let ((_let_100 (not _let_96))) (let ((_let_101 (or _let_100 _let_59 _let_26))) (let ((_let_102 ((not (= (tptp.product X W Y) false)) _let_49))) (let ((_let_103 (not _let_97))) (let ((_let_104 (tptp.product tptp.e_3 tptp.e_4 tptp.e_2))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_105 _let_103 _let_10))) (let ((_let_107 (tptp.product tptp.e_3 tptp.e_4 tptp.e_4))) (let ((_let_108 (tptp.product tptp.e_3 tptp.e_4 tptp.e_3))) (let ((_let_109 (tptp.product tptp.e_3 tptp.e_4 tptp.e_1))) (let ((_let_110 (not _let_30))) (let ((_let_111 (or _let_38 _let_110 _let_109 _let_104 _let_108 _let_107))) (let ((_let_112 (tptp.product tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_113 (not _let_112))) (let ((_let_114 (not _let_107))) (let ((_let_115 (or _let_114 _let_113 _let_12))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_51)) _let_52 :args (_let_112 false _let_2)))) (let ((_let_117 (ASSUME :args (_let_13)))) (let ((_let_118 (not _let_108))) (let ((_let_119 (or _let_118 _let_59 _let_6))) (let ((_let_120 (not _let_109))) (let ((_let_121 (tptp.product tptp.e_2 tptp.e_4 tptp.e_1))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_120 _let_20))) (let ((_let_124 (tptp.product tptp.e_3 tptp.e_2 tptp.e_1))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_120 _let_18))) (let ((_let_127 (tptp.product tptp.e_2 tptp.e_4 tptp.e_4))) (let ((_let_128 (tptp.product tptp.e_2 tptp.e_4 tptp.e_3))) (let ((_let_129 (tptp.product tptp.e_2 tptp.e_4 tptp.e_2))) (let ((_let_130 (or _let_39 _let_110 _let_121 _let_129 _let_128 _let_127))) (let ((_let_131 (tptp.product tptp.e_3 tptp.e_2 tptp.e_4))) (let ((_let_132 (tptp.product tptp.e_3 tptp.e_2 tptp.e_3))) (let ((_let_133 (tptp.product tptp.e_3 tptp.e_2 tptp.e_2))) (let ((_let_134 (or _let_38 _let_39 _let_124 _let_133 _let_132 _let_131))) (let ((_let_135 (not _let_131))) (let ((_let_136 (not _let_128))) (let ((_let_137 (or _let_136 _let_59 _let_135 _let_59 _let_20))) (let ((_let_138 (ASSUME :args (_let_21)))) (let ((_let_139 (ASSUME :args (_let_30)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_55)) _let_56 :args (_let_130 false _let_5)))) (let ((_let_141 (not _let_127))) (let ((_let_142 (or _let_113 _let_141 _let_8))) (let ((_let_143 (ASSUME :args (_let_9)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_8 _let_141 _let_113 (not _let_142)))) _let_143 _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_62 :args (_let_142 false _let_3)) :args (_let_141 true _let_8 false _let_112 false _let_142)))) (let ((_let_145 (not _let_129))) (let ((_let_146 (or _let_145 _let_44 _let_8))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_8 _let_44 _let_145 (not _let_146)))) _let_143 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_2 tptp.e_4 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_47)) _let_48 :args (_let_146 false _let_4)) :args (_let_145 true _let_8 false _let_43 false _let_146)))) (let ((_let_148 (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_39 _let_110 _let_121 _let_129 _let_128 _let_127 (not _let_130)))))) (let ((_let_149 (not _let_132))) (let ((_let_150 (or _let_59 _let_149 _let_14))) (let ((_let_151 (not _let_133))) (let ((_let_152 (or _let_44 _let_151 _let_20))) (let ((_let_153 (not _let_98))) (let ((_let_154 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_155 (not _let_154))) (let ((_let_156 (or _let_155 _let_153 _let_26))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_51)) _let_52 :args (_let_154 false _let_2)))) (let ((_let_158 (ASSUME :args (_let_33)))) (let ((_let_159 (not _let_89))) (let ((_let_160 (or _let_159 _let_44 _let_28))) (let ((_let_161 (ASSUME :args (_let_29)))) (let ((_let_162 (not _let_90))) (let ((_let_163 (or _let_155 _let_162 _let_28))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_74 _let_39 _let_90 _let_89 _let_81 _let_88 (not _let_91)))) _let_158 _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_28 _let_155 _let_162 (not _let_163)))) _let_161 _let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_61)) _let_62 :args (_let_163 false _let_3)) :args (_let_162 true _let_28 false _let_154 false _let_163)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_28 _let_44 _let_159 (not _let_160)))) _let_161 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_47)) _let_48 :args (_let_160 false _let_4)) :args (_let_159 true _let_28 false _let_43 false _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_14 _let_92 _let_94 (not _let_95)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_74 _let_38 _let_98 _let_97 _let_96 _let_93 (not _let_99)))) _let_158 _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_156)) :args ((or _let_26 _let_155 _let_153 (not _let_156)))) _let_80 _let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_61)) _let_62 :args (_let_156 false _let_3)) :args (_let_153 true _let_26 false _let_154 false _let_156)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_10 _let_103 _let_105 (not _let_106)))) (ASSUME :args (_let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_38 _let_110 _let_109 _let_104 _let_108 _let_107 (not _let_111)))) _let_42 _let_139 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_137))) :args ((or _let_20 _let_136 _let_135 _let_59 (not _let_137)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_2 tptp.e_4 tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_137 false _let_1)) _let_66 _let_138 (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_39 _let_38 _let_124 _let_133 _let_132 _let_131 (not _let_134)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_20 _let_44 _let_151 (not _let_152)))) _let_138 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_61)) _let_62 :args (_let_152 false _let_3)) :args (_let_151 true _let_20 false _let_43 false _let_152)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_14 _let_149 _let_59 (not _let_150)))) _let_54 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_47)) _let_48 :args (_let_150 false _let_4)) :args (_let_149 true _let_14 false _let_58 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_55)) _let_56 :args (_let_134 false _let_5)) _let_42 _let_41 _let_148 _let_147 _let_144 _let_140 _let_139 _let_41 (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_18 _let_125 _let_120 (not _let_126)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_3 tptp.e_2 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_47)) _let_48 :args (_let_126 false _let_4)) (ASSUME :args (_let_19)) (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_20 _let_122 _let_120 (not _let_123)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_2 tptp.e_4 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_61)) _let_62 :args (_let_123 false _let_3)) _let_138 :args (_let_120 false _let_137 false _let_58 true _let_20 false _let_131 true _let_133 true _let_132 false _let_134 false _let_31 false _let_32 false _let_128 true _let_129 true _let_127 false _let_130 false _let_30 false _let_32 true _let_124 false _let_126 true _let_18 true _let_121 false _let_123 true _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_6 _let_59 _let_118 (not _let_119)))) (ASSUME :args (_let_7)) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_3 tptp.e_4 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_47)) _let_48 :args (_let_119 false _let_4)) :args (_let_118 true _let_6 false _let_58 false _let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_12 _let_114 _let_113 (not _let_115)))) _let_117 _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_3 tptp.e_4 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_61)) _let_62 :args (_let_115 false _let_3)) :args (_let_114 true _let_12 false _let_112 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_55)) _let_56 :args (_let_111 false _let_5)) :args (_let_104 false _let_31 false _let_30 true _let_109 true _let_108 true _let_107 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_3 tptp.e_4 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_47)) _let_48 :args (_let_106 false _let_4)) :args (_let_103 true _let_10 false _let_104 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_26 _let_100 _let_59 (not _let_101)))) _let_80 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_47)) _let_48 :args (_let_101 false _let_4)) :args (_let_100 true _let_26 false _let_58 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_55)) _let_56 :args (_let_99 false _let_5)) :args (_let_93 false _let_33 false _let_31 true _let_98 true _let_97 true _let_96 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_3 tptp.e_1 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_62 :args (_let_95 false _let_3)) :args (_let_92 true _let_14 false _let_93 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_1) true))))) :args _let_55)) _let_56 :args (_let_91 false _let_5)) :args (_let_81 false _let_33 false _let_32 true _let_90 true _let_89 true _let_88 false _let_91)))) (let ((_let_165 (ASSUME :args (_let_23)))) (let ((_let_166 (not _let_73))) (let ((_let_167 (or _let_166 _let_155 _let_16))) (let ((_let_168 (not _let_37))) (let ((_let_169 (or _let_168 _let_122 _let_12))) (let ((_let_170 (or _let_82 _let_136 _let_24))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_38 _let_34 _let_37 _let_36 _let_35 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_169)) :args ((or _let_12 _let_122 _let_168 (not _let_169)))) _let_117 (MACRO_RESOLUTION_TRUST _let_148 _let_41 _let_139 _let_147 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_24 _let_82 _let_136 (not _let_170)))) (ASSUME :args (_let_25)) _let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_47)) _let_48 :args (_let_170 false _let_4)) :args (_let_136 true _let_24 false _let_81 false _let_170)) _let_144 _let_140 :args (_let_121 false _let_32 false _let_30 true _let_129 true _let_128 true _let_127 false _let_130)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_2 tptp.e_3 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_47)) _let_48 :args (_let_169 false _let_4)) :args (_let_168 true _let_12 false _let_121 false _let_169)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_22 _let_68 _let_69 (not _let_70)))) _let_165 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_38 _let_73 _let_72 _let_71 _let_67 (not _let_75)))) _let_158 _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_16 _let_155 _let_166 (not _let_167)))) (ASSUME :args (_let_17)) _let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_47)) _let_48 :args (_let_167 false _let_4)) :args (_let_166 true _let_16 false _let_154 false _let_167)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_84))) :args ((or _let_22 _let_44 _let_82 _let_83 (not _let_84)))) _let_165 _let_53 _let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_84 false _let_1)) :args (_let_83 true _let_22 false _let_43 false _let_81 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_26 _let_77 _let_59 (not _let_78)))) _let_80 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_1 tptp.e_3 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_61)) _let_62 :args (_let_78 false _let_3)) :args (_let_77 true _let_26 false _let_58 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_55)) _let_56 :args (_let_75 false _let_5)) :args (_let_67 false _let_33 false _let_31 true _let_73 true _let_72 true _let_71 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_2 tptp.e_3 tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_62 :args (_let_70 false _let_3)) :args (_let_69 true _let_22 false _let_67 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_14 _let_57 _let_59 (not _let_60)))) _let_54 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_62 :args (_let_60 false _let_3)) :args (_let_57 true _let_14 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_2) true))))) :args _let_55)) _let_56 :args (_let_40 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_14 _let_44 _let_45 (not _let_46)))) _let_54 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_2 tptp.e_3 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_47)) _let_48 :args (_let_46 false _let_4)) :args (_let_45 true _let_14 false _let_43 false _let_46)) _let_42 _let_41 :args (false true _let_37 true _let_35 true _let_36 false _let_40 true _let_34 false _let_31 false _let_32)) :args (_let_33 _let_32 _let_31 _let_30 _let_29 _let_27 _let_25 _let_23 _let_21 _let_19 _let_17 _let_15 _let_13 _let_11 _let_9 _let_7 _let_5 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y W)) (not (tptp.product X Y Z)) (tptp.equalish W Z))) _let_4 _let_3 _let_2 _let_1 (forall ((X1 $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted) (X2 $$unsorted) (Y2 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product X1 Y1 Z1)) (not (tptp.product X2 Y2 Z1)) (not (tptp.product Z2 X1 Y1)) (not (tptp.product Z2 X2 Y2)) (tptp.equalish Y1 Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.45/0.63 )
% 0.45/0.64 % SZS output end Proof for GRP124-1.004
% 0.45/0.64 % cvc5---1.0.5 exiting
% 0.45/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------