TSTP Solution File: GRP124-6.004 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP124-6.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:24:30 EDT 2023
% Result : Unsatisfiable 0.20s 0.66s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP124-6.004 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n015.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 21:52:40 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.m4YD05pynv/cvc5---1.0.5_3668.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP124-6.004
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3668.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.66 % SZS status Unsatisfiable for GRP124-6.004
% 0.20/0.66 % SZS output start Proof for GRP124-6.004
% 0.20/0.67 (
% 0.20/0.67 (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_3 tptp.e_2))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.equalish tptp.e_3 tptp.e_1))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.equalish tptp.e_2 tptp.e_4))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.equalish tptp.e_1 tptp.e_4))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.group_element tptp.e_4))) (let ((_let_33 (tptp.group_element tptp.e_3))) (let ((_let_34 (tptp.group_element tptp.e_2))) (let ((_let_35 (tptp.group_element tptp.e_1))) (let ((_let_36 (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_2))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_2))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_30))) (let ((_let_41 (_let_6))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (not _let_40))) (let ((_let_44 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_4))) (let ((_let_45 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_3))) (let ((_let_46 (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_1))) (let ((_let_47 (not _let_35))) (let ((_let_48 (not _let_32))) (let ((_let_49 (or _let_48 _let_47 _let_46 _let_38 _let_45 _let_44))) (let ((_let_50 (_let_7))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_50)) _let_51 :args (_let_49 false _let_7)))) (let ((_let_54 (not _let_44))) (let ((_let_55 (tptp.product1 tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_54 _let_12))) (let ((_let_58 ((not (= (tptp.product1 X Z Y) false)) (not (= (tptp.equalish W Z) true))))) (let ((_let_59 (_let_4))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 ((not (= (tptp.product1 X X X) true))))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_55 false _let_4)))) (let ((_let_63 (ASSUME :args (_let_13)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_12 _let_54 _let_56 (not _let_57)))) _let_63 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) _let_42 :args (_let_57 false _let_6)) :args (_let_54 true _let_12 false _let_55 false _let_57)))) (let ((_let_65 (not _let_45))) (let ((_let_66 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_65 _let_20))) (let ((_let_69 (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_4))) (let ((_let_70 (tptp.product1 tptp.e_3 tptp.e_4 tptp.e_1))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_65 _let_71 _let_69))) (let ((_let_73 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_74 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_4))) (let ((_let_75 (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_76 (not _let_34))) (let ((_let_77 (or _let_76 _let_47 _let_73 _let_75 _let_66 _let_74))) (let ((_let_78 (tptp.product1 tptp.e_3 tptp.e_4 tptp.e_4))) (let ((_let_79 (tptp.product1 tptp.e_3 tptp.e_4 tptp.e_3))) (let ((_let_80 (tptp.product1 tptp.e_3 tptp.e_4 tptp.e_2))) (let ((_let_81 (not _let_33))) (let ((_let_82 (or _let_81 _let_48 _let_70 _let_80 _let_79 _let_78))) (let ((_let_83 (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_4))) (let ((_let_84 (not _let_83))) (let ((_let_85 (not _let_74))) (let ((_let_86 (or _let_85 _let_84 _let_22))) (let ((_let_87 (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_2))) (let ((_let_88 (not _let_87))) (let ((_let_89 (not _let_80))) (let ((_let_90 (or _let_89 _let_88 _let_12))) (let ((_let_91 (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_3))) (let ((_let_92 (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_1))) (let ((_let_93 (or _let_81 _let_47 _let_92 _let_87 _let_91 _let_83))) (let ((_let_94 (_let_5))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (not (= (tptp.equalish W Z) true)))) (let ((_let_97 ((not (= (tptp.product1 W Y X) false)) _let_96))) (let ((_let_98 (not _let_69))) (let ((_let_99 (tptp.product2 tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_98 _let_26))) (let ((_let_102 (_let_3))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 (not (= (tptp.product2 X Y Z) false)))) (let ((_let_105 ((not (= (tptp.product2 X Y W) false)) _let_104))) (let ((_let_106 (_let_2))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (tptp.e_1 QUANTIFIERS_INST_ENUM))) (let ((_let_109 (ASSUME :args (_let_27)))) (let ((_let_110 (_let_1))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 ((not (= (tptp.product1 Z1 X Z2) false)) (not (= (tptp.product2 Z2 Y X) true))))) (let ((_let_113 (ASSUME :args (_let_35)))) (let ((_let_114 (ASSUME :args (_let_34)))) (let ((_let_115 (not _let_73))) (let ((_let_116 (tptp.product1 tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_115 _let_30))) (let ((_let_119 (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args _let_108) :args _let_59)) _let_60 :args (_let_116 false _let_4)))) (let ((_let_121 (ASSUME :args (_let_31)))) (let ((_let_122 ((not (= (tptp.product1 X Y tptp.e_1) true))))) (let ((_let_123 (tptp.product1 tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_124 (not _let_123))) (let ((_let_125 (not _let_75))) (let ((_let_126 (or _let_125 _let_124 _let_30))) (let ((_let_127 (tptp.e_2 QUANTIFIERS_INST_ENUM))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args _let_127) :args _let_59)) _let_60 :args (_let_123 false _let_4)))) (let ((_let_129 (ASSUME :args (_let_33)))) (let ((_let_130 (ASSUME :args (_let_32)))) (let ((_let_131 (not _let_78))) (let ((_let_132 (or _let_131 _let_56 _let_14))) (let ((_let_133 (_let_96 (not (= (tptp.product1 Z Y X) false))))) (let ((_let_134 (ASSUME :args (_let_15)))) (let ((_let_135 (tptp.product1 tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_136 (not _let_135))) (let ((_let_137 (not _let_79))) (let ((_let_138 (or _let_137 _let_136 _let_8))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_135 false _let_4)))) (let ((_let_140 (ASSUME :args (_let_9)))) (let ((_let_141 (not _let_91))) (let ((_let_142 (or _let_141 _let_136 _let_28))) (let ((_let_143 (ASSUME :args (_let_29)))) (let ((_let_144 (not _let_92))) (let ((_let_145 (or _let_117 _let_144 _let_28))) (let ((_let_146 (not _let_46))) (let ((_let_147 (or _let_117 _let_146 _let_26))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_26 _let_117 _let_146 (not _let_147)))) _let_109 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_94)) _let_95 :args (_let_147 false _let_5)) :args (_let_146 true _let_26 false _let_116 false _let_147)))) (let ((_let_149 (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_47 _let_48 _let_46 _let_38 _let_45 _let_44 (not _let_49)))))) (let ((_let_150 (MACRO_RESOLUTION_TRUST _let_149 _let_113 _let_130 _let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_47 _let_81 _let_92 _let_87 _let_91 _let_83 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_28 _let_117 _let_144 (not _let_145)))) _let_143 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_94)) _let_95 :args (_let_145 false _let_5)) :args (_let_144 true _let_28 false _let_116 false _let_145)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_28 _let_141 _let_136 (not _let_142)))) _let_143 _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) _let_42 :args (_let_142 false _let_6)) :args (_let_141 true _let_28 false _let_135 false _let_142)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_50)) _let_51 :args (_let_93 false _let_7)) _let_129 _let_113 (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_12 _let_88 _let_89 (not _let_90)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_3 tptp.e_4 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) _let_42 :args (_let_90 false _let_6)) _let_63 (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_22 _let_85 _let_84 (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.e_2 tptp.e_1 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_94)) _let_95 :args (_let_86 false _let_5)) (ASSUME :args (_let_23)) (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_48 _let_78 _let_70 _let_80 _let_79 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_50)) _let_51 :args (_let_82 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_8 _let_136 _let_137 (not _let_138)))) _let_140 _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_3 tptp.e_4 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) _let_42 :args (_let_138 false _let_6)) :args (_let_137 true _let_8 false _let_135 false _let_138)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_14 _let_56 _let_131 (not _let_132)))) _let_134 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.e_3 tptp.e_4 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_94)) _let_95 :args (_let_132 false _let_5)) :args (_let_131 true _let_14 false _let_55 false _let_132)) _let_130 _let_129 (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_47 _let_76 _let_73 _let_75 _let_66 _let_74 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_30 _let_124 _let_125 (not _let_126)))) _let_121 _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) _let_42 :args (_let_126 false _let_6)) :args (_let_125 true _let_30 false _let_123 false _let_126)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_50)) _let_51 :args (_let_77 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_30 _let_117 _let_115 (not _let_118)))) _let_121 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args _let_119) :args _let_94)) _let_95 :args (_let_118 false _let_5)) :args (_let_115 true _let_30 false _let_116 false _let_118)) _let_114 _let_113 (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_69 _let_65 _let_71 (not _let_72)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.e_4 tptp.e_1 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_110)) _let_111 :args (_let_72 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_26 _let_100 _let_98 (not _let_101)))) _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args _let_108) :args _let_106)) _let_107 :args (_let_99 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_102)) _let_103 :args (_let_101 false _let_3)) :args (_let_98 true _let_26 false _let_99 false _let_101)) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_20 _let_67 _let_65 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_94)) _let_95 :args (_let_68 false _let_5)) (ASSUME :args (_let_21)) :args (_let_65 true _let_92 true _let_91 false _let_93 false _let_33 false _let_35 true _let_87 false _let_90 true _let_12 true _let_83 false _let_86 true _let_22 false _let_80 false _let_82 true _let_79 true _let_78 false _let_32 false _let_33 false _let_74 true _let_75 false _let_77 true _let_73 false _let_34 false _let_35 true _let_70 false _let_72 true _let_69 true _let_66 false _let_68 true _let_20)) _let_64 _let_53 :args (_let_38 false _let_35 false _let_32 true _let_46 true _let_45 true _let_44 false _let_49)))) (let ((_let_151 (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_4))) (let ((_let_152 (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_3))) (let ((_let_153 (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_1))) (let ((_let_154 (or _let_48 _let_76 _let_153 _let_36 _let_152 _let_151))) (let ((_let_155 (not _let_151))) (let ((_let_156 (or _let_56 _let_155 _let_10))) (let ((_let_157 (not _let_152))) (let ((_let_158 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_3))) (let ((_let_159 (not _let_158))) (let ((_let_160 (or _let_159 _let_157 _let_26))) (let ((_let_161 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_4))) (let ((_let_162 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_163 (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_1))) (let ((_let_164 (or _let_47 _let_76 _let_163 _let_162 _let_158 _let_161))) (let ((_let_165 (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_1))) (let ((_let_166 (not _let_161))) (let ((_let_167 (or _let_166 _let_39 _let_165))) (let ((_let_168 (not _let_165))) (let ((_let_169 (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_170 (not _let_169))) (let ((_let_171 (or _let_170 _let_168 _let_24))) (let ((_let_172 (ASSUME :args (_let_25)))) (let ((_let_173 (not _let_162))) (let ((_let_174 (or _let_124 _let_173 _let_24))) (let ((_let_175 (not _let_163))) (let ((_let_176 (or _let_117 _let_175 _let_30))) (let ((_let_177 (not _let_153))) (let ((_let_178 (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_1))) (let ((_let_179 (not _let_178))) (let ((_let_180 (or _let_179 _let_177 _let_16))) (let ((_let_181 (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_4))) (let ((_let_182 (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_3))) (let ((_let_183 (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_2))) (let ((_let_184 (or _let_48 _let_81 _let_178 _let_183 _let_182 _let_181))) (let ((_let_185 (not _let_182))) (let ((_let_186 (or _let_136 _let_185 _let_14))) (let ((_let_187 (not _let_183))) (let ((_let_188 (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_189 (not _let_188))) (let ((_let_190 (or _let_189 _let_187 _let_26))) (let ((_let_191 (or _let_187 _let_39 _let_18))) (let ((_let_192 (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_4))) (let ((_let_193 (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_3))) (let ((_let_194 (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_1))) (let ((_let_195 (or _let_47 _let_81 _let_194 _let_188 _let_193 _let_192))) (let ((_let_196 (tptp.product2 tptp.e_3 tptp.e_3 tptp.e_1))) (let ((_let_197 (not _let_192))) (let ((_let_198 (or _let_197 _let_65 _let_196))) (let ((_let_199 (ASSUME :args (_let_19)))) (let ((_let_200 (not _let_193))) (let ((_let_201 (or _let_200 _let_136 _let_28))) (let ((_let_202 (not _let_194))) (let ((_let_203 (or _let_202 _let_117 _let_18))) (let ((_let_204 (not _let_196))) (let ((_let_205 (tptp.product2 tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_206 (not _let_205))) (let ((_let_207 (or _let_206 _let_204 _let_18))) (let ((_let_208 (not _let_181))) (let ((_let_209 (or _let_56 _let_208 _let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_4 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_30 _let_37 _let_39 _let_43))) _let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_76 _let_48 _let_153 _let_36 _let_152 _let_151 (not _let_154)))) _let_114 _let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_16 _let_177 _let_179 (not _let_180)))) (ASSUME :args (_let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_184)) :args ((or _let_81 _let_48 _let_178 _let_181 _let_183 _let_182 (not _let_184)))) _let_129 _let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_209)) :args ((or _let_8 _let_56 _let_208 (not _let_209)))) _let_140 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) _let_42 :args (_let_209 false _let_6)) :args (_let_208 true _let_8 false _let_55 false _let_209)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_198)) :args ((or _let_197 _let_65 _let_196 (not _let_198)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.e_1 tptp.e_3 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_110)) _let_111 :args (_let_198 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_207)) :args ((or _let_18 _let_204 _let_206 (not _let_207)))) _let_199 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product2 X X X) true))))) :args _let_106)) _let_107 :args (_let_205 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING (_let_104 (not (= (tptp.equalish W Z) true))))) :args _let_102)) _let_103 :args (_let_207 false _let_3)) :args (_let_204 true _let_18 false _let_205 false _let_207)) _let_149 _let_148 _let_64 _let_53 _let_130 _let_113 (REORDERING (CNF_OR_POS :args (_let_195)) :args ((or _let_47 _let_81 _let_194 _let_188 _let_193 _let_192 (not _let_195)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_203)) :args ((or _let_18 _let_117 _let_202 (not _let_203)))) _let_199 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) _let_42 :args (_let_203 false _let_6)) :args (_let_202 true _let_18 false _let_116 false _let_203)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_201)) :args ((or _let_28 _let_200 _let_136 (not _let_201)))) _let_143 _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.e_1 tptp.e_3 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_94)) _let_95 :args (_let_201 false _let_5)) :args (_let_200 true _let_28 false _let_135 false _let_201)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_50)) _let_51 :args (_let_195 false _let_7)) _let_129 _let_113 (REORDERING (CNF_OR_POS :args (_let_191)) :args ((or _let_18 _let_39 _let_187 (not _let_191)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_4 tptp.e_3 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) _let_42 :args (_let_191 false _let_6)) _let_199 (REORDERING (CNF_OR_POS :args (_let_190)) :args ((or _let_26 _let_189 _let_187 (not _let_190)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.e_1 tptp.e_3 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_94)) _let_95 :args (_let_190 false _let_5)) _let_109 :args (_let_187 false _let_198 true _let_196 false _let_45 true _let_46 true _let_44 false _let_49 false _let_32 false _let_35 false _let_192 true _let_194 true _let_193 false _let_195 false _let_33 false _let_35 true _let_38 false _let_191 true _let_18 true _let_188 false _let_190 true _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_186)) :args ((or _let_14 _let_136 _let_185 (not _let_186)))) _let_134 _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_94)) _let_95 :args (_let_186 false _let_5)) :args (_let_185 true _let_14 false _let_135 false _let_186)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_50)) _let_51 :args (_let_184 false _let_7)) :args (_let_178 false _let_33 false _let_32 true _let_181 true _let_183 true _let_182 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_4 tptp.e_3 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) _let_42 :args (_let_180 false _let_6)) :args (_let_177 true _let_16 false _let_178 false _let_180)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_26 _let_159 _let_157 (not _let_160)))) _let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_47 _let_76 _let_163 _let_162 _let_158 _let_161 (not _let_164)))) _let_113 _let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_30 _let_117 _let_175 (not _let_176)))) _let_121 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_119) :args _let_41)) _let_42 :args (_let_176 false _let_6)) :args (_let_175 true _let_30 false _let_116 false _let_176)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_174)) :args ((or _let_24 _let_173 _let_124 (not _let_174)))) _let_172 _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_94)) _let_95 :args (_let_174 false _let_5)) :args (_let_173 true _let_24 false _let_123 false _let_174)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_166 _let_39 _let_165 (not _let_167)))) _let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_24 _let_170 _let_168 (not _let_171)))) _let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args _let_127) :args _let_106)) _let_107 :args (_let_169 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_102)) _let_103 :args (_let_171 false _let_3)) :args (_let_168 true _let_24 false _let_169 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.e_1 tptp.e_2 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_110)) _let_111 :args (_let_167 false _let_1)) :args (_let_166 false _let_38 true _let_165 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_50)) _let_51 :args (_let_164 false _let_7)) :args (_let_158 false _let_35 false _let_34 true _let_163 true _let_162 true _let_161 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_94)) _let_95 :args (_let_160 false _let_5)) :args (_let_157 true _let_26 false _let_158 false _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_156)) :args ((or _let_10 _let_155 _let_56 (not _let_156)))) (ASSUME :args (_let_11)) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_41)) _let_42 :args (_let_156 false _let_6)) :args (_let_155 true _let_10 false _let_55 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_50)) _let_51 :args (_let_154 false _let_7)) :args (_let_36 false _let_34 false _let_32 true _let_153 true _let_152 true _let_151 false _let_154)) _let_150 :args (_let_43 true _let_30 false _let_36 false _let_38)) _let_42 :args (false true _let_40 false _let_6)) :args (_let_35 _let_34 _let_33 _let_32 _let_31 _let_29 _let_27 _let_25 _let_23 _let_21 _let_19 _let_17 _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.67 )
% 0.20/0.67 % SZS output end Proof for GRP124-6.004
% 0.20/0.67 % cvc5---1.0.5 exiting
% 0.20/0.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------