TSTP Solution File: GRP124-3.004 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP124-3.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 00:24:29 EDT 2023
% Result : Unsatisfiable 0.12s 0.48s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP124-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.09 % Command : do_cvc5 %s %d
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon Aug 28 20:49:16 EDT 2023
% 0.08/0.27 % CPUTime :
% 0.12/0.36 %----Proving TF0_NAR, FOF, or CNF
% 0.12/0.36 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3JKaZmUMg8/cvc5---1.0.5_9252.p...
% 0.12/0.36 ------- get file name : TPTP file name is GRP124-3.004
% 0.12/0.37 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9252.smt2...
% 0.12/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.12/0.48 % SZS status Unsatisfiable for GRP124-3.004
% 0.12/0.48 % SZS output start Proof for GRP124-3.004
% 0.12/0.48 (
% 0.12/0.48 (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_3 tptp.e_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.equalish tptp.e_3 tptp.e_1))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.equalish tptp.e_2 tptp.e_4))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.equalish tptp.e_1 tptp.e_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.group_element tptp.e_4))) (let ((_let_25 (tptp.group_element tptp.e_3))) (let ((_let_26 (tptp.group_element tptp.e_2))) (let ((_let_27 (tptp.group_element tptp.e_1))) (let ((_let_28 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.product tptp.e_1 tptp.e_2 tptp.e_3))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.product tptp.e_2 tptp.e_3 tptp.e_1))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_29 _let_31 _let_29 _let_16))) (let ((_let_35 (ASSUME :args (_let_17)))) (let ((_let_36 (_let_2))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((not (= (tptp.product X X X) true))))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_28 false _let_2)))) (let ((_let_40 (_let_1))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((not (= (tptp.product X2 Y2 Z1) false)) (not (= (tptp.product Z2 X1 Y1) false))))) (let ((_let_43 (tptp.product tptp.e_1 tptp.e_2 tptp.e_4))) (let ((_let_44 (tptp.product tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_45 (tptp.product tptp.e_1 tptp.e_2 tptp.e_1))) (let ((_let_46 (not _let_26))) (let ((_let_47 (not _let_27))) (let ((_let_48 (or _let_47 _let_46 _let_45 _let_44 _let_30 _let_43))) (let ((_let_49 (_let_5))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_48 false _let_5)))) (let ((_let_53 (not _let_43))) (let ((_let_54 (tptp.product tptp.e_1 tptp.e_3 tptp.e_4))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53 _let_8))) (let ((_let_57 (_let_4))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (not (= (tptp.equalish W Z) true)))) (let ((_let_60 (not (= (tptp.product X Z Y) false)))) (let ((_let_61 (tptp.product tptp.e_1 tptp.e_3 tptp.e_3))) (let ((_let_62 (tptp.product tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_63 (tptp.product tptp.e_1 tptp.e_3 tptp.e_1))) (let ((_let_64 (not _let_25))) (let ((_let_65 (or _let_47 _let_64 _let_63 _let_62 _let_61 _let_54))) (let ((_let_66 (not _let_61))) (let ((_let_67 (tptp.product tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66 _let_10))) (let ((_let_70 (_let_3))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (not (= (tptp.product Z Y X) false)))) (let ((_let_73 ((not (= (tptp.product W Y X) false)) _let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_67 false _let_2)))) (let ((_let_75 (not _let_62))) (let ((_let_76 (tptp.product tptp.e_1 tptp.e_4 tptp.e_2))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75 _let_6))) (let ((_let_79 (not (= (tptp.product X W Y) false)))) (let ((_let_80 (_let_79 _let_59))) (let ((_let_81 (tptp.product tptp.e_1 tptp.e_4 tptp.e_4))) (let ((_let_82 (tptp.product tptp.e_1 tptp.e_4 tptp.e_3))) (let ((_let_83 (tptp.product tptp.e_1 tptp.e_4 tptp.e_1))) (let ((_let_84 (not _let_24))) (let ((_let_85 (or _let_47 _let_84 _let_83 _let_76 _let_82 _let_81))) (let ((_let_86 (tptp.product tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_87 (not _let_86))) (let ((_let_88 (not _let_81))) (let ((_let_89 (or _let_88 _let_87 _let_18))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_86 false _let_2)))) (let ((_let_91 (ASSUME :args (_let_19)))) (let ((_let_92 (tptp.product tptp.e_2 tptp.e_4 tptp.e_3))) (let ((_let_93 (not _let_92))) (let ((_let_94 (not _let_82))) (let ((_let_95 (or _let_94 _let_93 _let_22))) (let ((_let_96 (or _let_31 _let_94 _let_12))) (let ((_let_97 (tptp.product tptp.e_2 tptp.e_4 tptp.e_4))) (let ((_let_98 (tptp.product tptp.e_2 tptp.e_4 tptp.e_2))) (let ((_let_99 (tptp.product tptp.e_2 tptp.e_4 tptp.e_1))) (let ((_let_100 (or _let_46 _let_84 _let_99 _let_98 _let_92 _let_97))) (let ((_let_101 (not _let_99))) (let ((_let_102 (or _let_101 _let_29 _let_53 _let_29 _let_16))) (let ((_let_103 (ASSUME :args (_let_23)))) (let ((_let_104 (ASSUME :args (_let_13)))) (let ((_let_105 (_let_79 _let_60))) (let ((_let_106 (ASSUME :args (_let_26)))) (let ((_let_107 (ASSUME :args (_let_24)))) (let ((_let_108 (not _let_97))) (let ((_let_109 (or _let_108 _let_87 _let_12))) (let ((_let_110 (not _let_98))) (let ((_let_111 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_110 _let_12))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.e_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_111 false _let_2)))) (let ((_let_115 (ASSUME :args (_let_27)))) (let ((_let_116 (not _let_44))) (let ((_let_117 (or _let_116 _let_112 _let_22))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_22 _let_116 _let_112 (not _let_117)))) _let_103 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_70)) _let_71 :args (_let_117 false _let_3)) :args (_let_116 true _let_22 false _let_111 false _let_117)))) (let ((_let_119 (not _let_45))) (let ((_let_120 (or _let_29 _let_119 _let_22))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_22 _let_29 _let_119 (not _let_120)))) _let_103 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_57)) _let_58 :args (_let_120 false _let_4)) :args (_let_119 true _let_22 false _let_28 false _let_120)))) (let ((_let_122 (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_46 _let_45 _let_44 _let_30 _let_43 (not _let_48)))))) (let ((_let_123 (not _let_83))) (let ((_let_124 (or _let_29 _let_123 _let_18))) (let ((_let_125 (not _let_63))) (let ((_let_126 (or _let_29 _let_125 _let_20))) (let ((_let_127 (ASSUME :args (_let_25)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_47 _let_64 _let_63 _let_62 _let_61 _let_54 (not _let_65)))) _let_115 _let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_20 _let_29 _let_125 (not _let_126)))) (ASSUME :args (_let_21)) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_57)) _let_58 :args (_let_126 false _let_4)) :args (_let_125 true _let_20 false _let_28 false _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_6 _let_75 _let_77 (not _let_78)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_47 _let_84 _let_83 _let_76 _let_82 _let_81 (not _let_85)))) _let_115 _let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_18 _let_29 _let_123 (not _let_124)))) _let_91 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_57)) _let_58 :args (_let_124 false _let_4)) :args (_let_123 true _let_18 false _let_28 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_102))) :args ((or _let_16 _let_29 _let_53 _let_101 (not _let_102)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.e_2 tptp.e_4 tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_102 false _let_1)) _let_39 _let_35 _let_122 _let_121 _let_118 _let_52 _let_106 _let_115 (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_46 _let_84 _let_99 _let_98 _let_92 _let_97 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_12 _let_112 _let_110 (not _let_113)))) _let_104 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_57)) _let_58 :args (_let_113 false _let_4)) :args (_let_110 true _let_12 false _let_111 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_12 _let_108 _let_87 (not _let_109)))) _let_104 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_2 tptp.e_4 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_70)) _let_71 :args (_let_109 false _let_3)) :args (_let_108 true _let_12 false _let_86 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_100 false _let_5)) _let_107 _let_106 (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_12 _let_31 _let_94 (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_57)) _let_58 :args (_let_96 false _let_4)) _let_104 (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_22 _let_94 _let_93 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_1 tptp.e_4 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_70)) _let_71 :args (_let_95 false _let_3)) _let_103 :args (_let_94 false _let_102 false _let_28 true _let_16 false _let_43 true _let_45 true _let_44 false _let_48 false _let_26 false _let_27 false _let_99 true _let_98 true _let_97 false _let_100 false _let_24 false _let_26 true _let_30 false _let_96 true _let_12 true _let_92 false _let_95 true _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_18 _let_88 _let_87 (not _let_89)))) _let_91 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_1 tptp.e_4 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_70)) _let_71 :args (_let_89 false _let_3)) :args (_let_88 true _let_18 false _let_86 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_85 false _let_5)) :args (_let_76 false _let_27 false _let_24 true _let_83 true _let_82 true _let_81 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.e_1 tptp.e_4 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_57)) _let_58 :args (_let_78 false _let_4)) :args (_let_75 true _let_6 false _let_76 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_10 _let_68 _let_66 (not _let_69)))) (ASSUME :args (_let_11)) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_70)) _let_71 :args (_let_69 false _let_3)) :args (_let_66 true _let_10 false _let_67 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_1) true))))) :args _let_49)) _let_50 :args (_let_65 false _let_5)) :args (_let_54 false _let_27 false _let_25 true _let_63 true _let_62 true _let_61 false _let_65)))) (let ((_let_129 (ASSUME :args (_let_9)))) (let ((_let_130 (tptp.product tptp.e_2 tptp.e_3 tptp.e_4))) (let ((_let_131 (tptp.product tptp.e_2 tptp.e_3 tptp.e_3))) (let ((_let_132 (tptp.product tptp.e_2 tptp.e_3 tptp.e_2))) (let ((_let_133 (or _let_46 _let_64 _let_32 _let_132 _let_131 _let_130))) (let ((_let_134 (not _let_130))) (let ((_let_135 (or _let_55 _let_134 _let_22))) (let ((_let_136 (not _let_131))) (let ((_let_137 (or _let_136 _let_68 _let_14))) (let ((_let_138 (not _let_132))) (let ((_let_139 (or _let_138 _let_112 _let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_34))) :args ((or _let_16 _let_29 _let_31 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_46 _let_64 _let_32 _let_132 _let_131 _let_130 (not _let_133)))) _let_106 _let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_8 _let_112 _let_138 (not _let_139)))) _let_129 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.e_2 tptp.e_3 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_57)) _let_58 :args (_let_139 false _let_4)) :args (_let_138 true _let_8 false _let_111 false _let_139)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_14 _let_68 _let_136 (not _let_137)))) (ASSUME :args (_let_15)) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_2 tptp.e_3 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_70)) _let_71 :args (_let_137 false _let_3)) :args (_let_136 true _let_14 false _let_67 false _let_137)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_22 _let_134 _let_55 (not _let_135)))) _let_103 _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_1 tptp.e_3 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING (_let_72 (not (= (tptp.equalish W Z) true))))) :args _let_70)) _let_71 :args (_let_135 false _let_3)) :args (_let_134 true _let_22 false _let_54 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_133 false _let_5)) :args (_let_32 false _let_26 false _let_25 true _let_132 true _let_131 true _let_130 false _let_133)) (MACRO_RESOLUTION_TRUST _let_122 _let_115 _let_106 _let_121 _let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_8 _let_53 _let_55 (not _let_56)))) _let_129 _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.e_1 tptp.e_3 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING (_let_60 _let_59))) :args _let_57)) _let_58 :args (_let_56 false _let_4)) :args (_let_53 true _let_8 false _let_54 false _let_56)) _let_52 :args (_let_30 false _let_27 false _let_26 true _let_45 true _let_44 true _let_43 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.e_2 tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_34 false _let_1)) _let_39 _let_35 :args (false false _let_32 false _let_30 false _let_34 false _let_28 true _let_16)) :args ((tptp.next tptp.e_0 tptp.e_1) (tptp.next tptp.e_1 tptp.e_2) (tptp.next tptp.e_2 tptp.e_3) (tptp.next tptp.e_3 tptp.e_4) (tptp.greater tptp.e_1 tptp.e_0) (tptp.greater tptp.e_2 tptp.e_0) (tptp.greater tptp.e_3 tptp.e_0) (tptp.greater tptp.e_4 tptp.e_0) (tptp.greater tptp.e_2 tptp.e_1) (tptp.greater tptp.e_3 tptp.e_1) (tptp.greater tptp.e_4 tptp.e_1) (tptp.greater tptp.e_3 tptp.e_2) (tptp.greater tptp.e_4 tptp.e_2) (tptp.greater tptp.e_4 tptp.e_3) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.cycle X Y)) (not (tptp.cycle X Z)) (tptp.equalish Y Z))) (forall ((X $$unsorted)) (or (not (tptp.group_element X)) (tptp.cycle X tptp.e_0) (tptp.cycle X tptp.e_1) (tptp.cycle X tptp.e_2) (tptp.cycle X tptp.e_3))) (tptp.cycle tptp.e_4 tptp.e_0) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted) (Z1 $$unsorted)) (or (not (tptp.cycle X Y)) (not (tptp.cycle W Z)) (not (tptp.next X W)) (not (tptp.greater Y tptp.e_0)) (not (tptp.next Z Z1)) (tptp.equalish Y Z1))) (forall ((X $$unsorted) (Z1 $$unsorted) (Y $$unsorted) (W $$unsorted) (Z2 $$unsorted)) (or (not (tptp.cycle X Z1)) (not (tptp.cycle Y tptp.e_0)) (not (tptp.cycle W Z2)) (not (tptp.next Y W)) (not (tptp.greater Y X)) (not (tptp.greater Z1 Z2)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.cycle X tptp.e_0)) (not (tptp.product X tptp.e_1 Y)) (not (tptp.greater Y X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted)) (or (not (tptp.cycle X Y)) (not (tptp.product X tptp.e_1 Z)) (not (tptp.greater Y tptp.e_0)) (not (tptp.next X X1)) (tptp.equalish Z X1))) _let_27 _let_26 _let_25 _let_24 _let_23 _let_21 _let_19 _let_17 _let_15 _let_13 _let_11 _let_9 (not (tptp.equalish tptp.e_3 tptp.e_4)) (not (tptp.equalish tptp.e_4 tptp.e_1)) (not (tptp.equalish tptp.e_4 tptp.e_2)) _let_7 _let_5 (forall ((X $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.12/0.48 )
% 0.12/0.48 % SZS output end Proof for GRP124-3.004
% 0.12/0.49 % cvc5---1.0.5 exiting
% 0.12/0.49 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------