TSTP Solution File: GRP130-3.003 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP130-3.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 00:24:41 EDT 2023
% Result : Unsatisfiable 0.19s 0.60s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP130-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 22:24:29 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QY4jSzknR2/cvc5---1.0.5_6699.p...
% 0.19/0.48 ------- get file name : TPTP file name is GRP130-3.003
% 0.19/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6699.smt2...
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.60 % SZS status Unsatisfiable for GRP130-3.003
% 0.19/0.60 % SZS output start Proof for GRP130-3.003
% 0.19/0.61 (
% 0.19/0.61 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product X Y Z1)) (not (tptp.product X Z1 Z2)) (tptp.product Z2 Y X))))) (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)) (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))))) (let ((_let_5 (tptp.equalish tptp.e_3 tptp.e_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.group_element tptp.e_3))) (let ((_let_16 (tptp.group_element tptp.e_2))) (let ((_let_17 (tptp.group_element tptp.e_1))) (let ((_let_18 (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 ((_let_19 (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)))))) (let ((_let_20 (forall ((X $$unsorted) (Z1 $$unsorted) (Y $$unsorted) (W $$unsorted) (Z2 $$unsorted)) (or (not (tptp.cycle X Z1)) (not (tptp.cycle Y tptp.e_0)) (not (tptp.cycle W Z2)) (not (tptp.next Y W)) (not (tptp.greater Y X)) (not (tptp.greater Z1 Z2)))))) (let ((_let_21 (forall ((X $$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))))) (let ((_let_22 (tptp.cycle tptp.e_3 tptp.e_0))) (let ((_let_23 (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))))) (let ((_let_24 (tptp.greater tptp.e_2 tptp.e_1))) (let ((_let_25 (tptp.greater tptp.e_2 tptp.e_0))) (let ((_let_26 (tptp.greater tptp.e_1 tptp.e_0))) (let ((_let_27 (tptp.next tptp.e_2 tptp.e_3))) (let ((_let_28 (tptp.next tptp.e_1 tptp.e_2))) (let ((_let_29 (tptp.next tptp.e_0 tptp.e_1))) (let ((_let_30 (tptp.product tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.product tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_13))) (let ((_let_35 (_let_3))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (not _let_34))) (let ((_let_38 (tptp.product tptp.e_1 tptp.e_2 tptp.e_3))) (let ((_let_39 (tptp.product tptp.e_1 tptp.e_2 tptp.e_1))) (let ((_let_40 (not _let_16))) (let ((_let_41 (not _let_17))) (let ((_let_42 (or _let_41 _let_40 _let_39 _let_30 _let_38))) (let ((_let_43 (_let_4))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) (let ((_let_46 (tptp.product tptp.e_3 tptp.e_1 tptp.e_1))) (let ((_let_47 (not _let_38))) (let ((_let_48 (or _let_33 _let_47 _let_46))) (let ((_let_49 (_let_1))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (not (= (tptp.product Z2 Y X) true)))) (let ((_let_52 (not (= (tptp.product X Y Z1) false)))) (let ((_let_53 (_let_52 _let_51))) (let ((_let_54 (tptp.product tptp.e_1 tptp.e_1 tptp.e_3))) (let ((_let_55 (not _let_46))) (let ((_let_56 (or _let_55 _let_55 _let_54))) (let ((_let_57 (not (= (tptp.product X Z1 Z2) false)))) (let ((_let_58 (_let_57 _let_51))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_49)) _let_50 :args (_let_56 false _let_1)))) (let ((_let_60 (not _let_28))) (let ((_let_61 (not _let_25))) (let ((_let_62 (not _let_54))) (let ((_let_63 (tptp.cycle tptp.e_1 tptp.e_2))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62 _let_61 _let_60 _let_5))) (let ((_let_66 (_let_18))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (tptp.cycle tptp.e_1 tptp.e_1))) (let ((_let_69 (tptp.cycle tptp.e_1 tptp.e_0))) (let ((_let_70 (or _let_41 _let_69 _let_68 _let_63))) (let ((_let_71 (_let_23))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((not (= (tptp.group_element X) false))))) (let ((_let_74 (not _let_26))) (let ((_let_75 (tptp.cycle tptp.e_2 tptp.e_1))) (let ((_let_76 (not _let_75))) (let ((_let_77 (not _let_68))) (let ((_let_78 (or _let_77 _let_76 _let_60 _let_74 _let_60 _let_13))) (let ((_let_79 (not _let_24))) (let ((_let_80 (not _let_27))) (let ((_let_81 (not _let_22))) (let ((_let_82 (tptp.cycle tptp.e_2 tptp.e_0))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_77 _let_83 _let_81 _let_80 _let_79 _let_74))) (let ((_let_85 (tptp.cycle tptp.e_2 tptp.e_2))) (let ((_let_86 (or _let_40 _let_82 _let_75 _let_85))) (let ((_let_87 (ASSUME :args (_let_28)))) (let ((_let_88 (ASSUME :args (_let_26)))) (let ((_let_89 (ASSUME :args (_let_14)))) (let ((_let_90 (_let_21))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 ((not (= (tptp.equalish Y Z1) true)) (not (= (tptp.next X W) false)) (not (= (tptp.cycle W Z) false))))) (let ((_let_93 (ASSUME :args (_let_27)))) (let ((_let_94 (ASSUME :args (_let_24)))) (let ((_let_95 (ASSUME :args (_let_22)))) (let ((_let_96 (_let_20))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (ASSUME :args (_let_16)))) (let ((_let_99 (not _let_29))) (let ((_let_100 (not _let_85))) (let ((_let_101 (or _let_100 _let_81 _let_80 _let_61 _let_99 _let_9))) (let ((_let_102 (ASSUME :args (_let_25)))) (let ((_let_103 (not _let_69))) (let ((_let_104 (or _let_103 _let_33 _let_79))) (let ((_let_105 (_let_19))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_108 _let_32))) (let ((_let_110 (tptp.product tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_111 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_112 (or _let_40 _let_41 _let_107 _let_110 _let_111))) (let ((_let_113 (tptp.product tptp.e_2 tptp.e_3 tptp.e_3))) (let ((_let_114 (not _let_113))) (let ((_let_115 (not _let_111))) (let ((_let_116 (or _let_115 _let_114 _let_11))) (let ((_let_117 (tptp.product tptp.e_2 tptp.e_3 tptp.e_2))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_115 _let_118 _let_110))) (let ((_let_120 (_let_52 _let_57))) (let ((_let_121 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_49)))) (let ((_let_122 (REORDERING (FACTORING (CNF_OR_POS :args (_let_109))) :args ((or _let_32 _let_108 (not _let_109)))))) (let ((_let_123 (tptp.product tptp.e_3 tptp.e_1 tptp.e_2))) (let ((_let_124 (not _let_123))) (let ((_let_125 (not _let_110))) (let ((_let_126 (or _let_125 _let_124 _let_7))) (let ((_let_127 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_125 _let_128 _let_13))) (let ((_let_130 (tptp.product tptp.e_2 tptp.e_2 tptp.e_1))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_125 _let_131 _let_32))) (let ((_let_133 (tptp.product tptp.e_2 tptp.e_2 tptp.e_3))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_125 _let_134 _let_123))) (let ((_let_136 (or _let_40 _let_40 _let_130 _let_127 _let_133))) (let ((_let_137 (ASSUME :args (_let_8)))) (let ((_let_138 (_let_2))) (let ((_let_139 (ASSUME :args _let_138))) (let ((_let_140 ((not (= (tptp.product W Y X) false)) (not (= (tptp.product Z Y X) false))))) (let ((_let_141 (not (= (tptp.product X Z Y) false)))) (let ((_let_142 ((not (= (tptp.equalish W Z) true)) _let_141))) (let ((_let_143 (ASSUME :args (_let_17)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_3) true))))) :args _let_43)) _let_44 :args (_let_112 false _let_4)))) (let ((_let_145 (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_41 _let_40 _let_111 _let_107 _let_110 (not _let_112)))))) (let ((_let_146 (ASSUME :args (_let_12)))) (let ((_let_147 (tptp.product tptp.e_2 tptp.e_3 tptp.e_1))) (let ((_let_148 (not _let_15))) (let ((_let_149 (or _let_40 _let_148 _let_147 _let_117 _let_113))) (let ((_let_150 (not _let_147))) (let ((_let_151 (or _let_150 _let_125 _let_117))) (let ((_let_152 (or _let_115 _let_150 _let_32))) (let ((_let_153 (ASSUME :args (_let_15)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_145 _let_144 _let_98 _let_143 (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_32 _let_115 _let_150 (not _let_152)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_49)) _let_50 :args (_let_152 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_125 _let_117 _let_150 (not _let_151)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_2 tptp.e_3 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_49)) _let_50 :args (_let_151 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_40 _let_148 _let_147 _let_117 _let_113 (not _let_149)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_43)) _let_44 :args (_let_149 false _let_4)) _let_153 _let_98 _let_122 _let_121 _let_50 :args ((or _let_32 _let_117 _let_113) false _let_112 false _let_16 false _let_17 true _let_111 false _let_152 true _let_110 false _let_151 false _let_147 false _let_149 false _let_15 false _let_16 true _let_107 false _let_109 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_115 _let_110 _let_118 (not _let_119)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_49)) _let_50 :args (_let_119 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_11 _let_115 _let_114 (not _let_116)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_35)) _let_36 :args (_let_116 false _let_3)) _let_146 _let_145 _let_144 _let_98 _let_143 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_136))) :args ((or _let_40 _let_130 _let_127 _let_133 (not _let_136)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_43)) _let_44 :args (_let_136 false _let_4)) _let_98 (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_125 _let_123 _let_134 (not _let_135)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_49)) _let_50 :args (_let_135 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_32 _let_125 _let_131 (not _let_132)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_49)) _let_50 :args (_let_132 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_13 _let_125 _let_128 (not _let_129)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_35)) _let_36 :args (_let_129 false _let_3)) _let_89 (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_7 _let_125 _let_124 (not _let_126)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_140)) :args _let_138)) _let_139 :args (_let_126 false _let_2)) _let_137 :args ((or _let_32 _let_125) false _let_136 false _let_16 true _let_133 false _let_135 true _let_130 false _let_132 true _let_127 false _let_129 true _let_13 true _let_123 false _let_126 true _let_7)) _let_122 (MACRO_RESOLUTION_TRUST _let_121 _let_50 :args (_let_109 false _let_1)) :args (_let_32 true _let_117 false _let_119 true _let_113 false _let_116 true _let_11 false _let_111 false _let_112 false _let_16 false _let_17 true _let_110 true _let_107 false _let_109)))) (let ((_let_155 (REORDERING (FACTORING (CNF_OR_POS :args (_let_56))) :args ((or _let_54 _let_55 (not _let_56)))))) (let ((_let_156 (MACRO_RESOLUTION_TRUST _let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_5 _let_60 _let_61 _let_62 _let_64 (not _let_65)))) (ASSUME :args (_let_6)) _let_87 _let_102 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_41 _let_69 _let_68 _let_63 (not _let_70)))) _let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_79 _let_103 _let_33 (not _let_104)))) _let_94 _let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Y X) false))))) :args _let_105)) _let_106 :args (_let_104 false _let_19)) :args (_let_103 false _let_24 false _let_32 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_40 _let_82 _let_75 _let_85 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_9 _let_99 _let_80 _let_61 _let_81 _let_100 (not _let_101)))) (ASSUME :args (_let_10)) (ASSUME :args (_let_29)) _let_93 _let_102 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.e_2 tptp.e_2 tptp.e_3 tptp.e_0 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_92)) :args _let_90)) _let_91 :args (_let_101 false _let_21)) :args (_let_100 true _let_9 false _let_29 false _let_27 false _let_25 false _let_22 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.e_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_86 false _let_23)) _let_98 (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_80 _let_74 _let_79 _let_81 _let_83 _let_77 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_0 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.cycle W Z2) false)) (not (= 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.next X X1) false)) (not (= (tptp.greater Y tptp.e_0) false)) (not (= (tptp.product X tptp.e_1 Z) false))))) :args _let_66)) _let_67 :args (_let_65 false _let_18)) :args (_let_62 true _let_5 false _let_28 false _let_25 false _let_63 false _let_65)) _let_59 :args (_let_55 true _let_54 false _let_56)))) (let ((_let_157 (tptp.product tptp.e_1 tptp.e_3 tptp.e_1))) (let ((_let_158 (not _let_157))) (let ((_let_159 (not _let_39))) (let ((_let_160 (or _let_159 _let_158 _let_7))) (let ((_let_161 (tptp.product tptp.e_1 tptp.e_3 tptp.e_3))) (let ((_let_162 (tptp.product tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_163 (or _let_41 _let_148 _let_157 _let_162 _let_161))) (let ((_let_164 (tptp.product tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_165 (not _let_164))) (let ((_let_166 (not _let_161))) (let ((_let_167 (or _let_166 _let_165 _let_11))) (let ((_let_168 (tptp.product tptp.e_3 tptp.e_1 tptp.e_3))) (let ((_let_169 (or _let_148 _let_41 _let_46 _let_123 _let_168))) (let ((_let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_43)) _let_44 :args (_let_169 false _let_4)))) (let ((_let_171 (or _let_33 _let_124 _let_11))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_11 _let_33 _let_124 (not _let_171)))) _let_146 _let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_140)) :args _let_138)) _let_139 :args (_let_171 false _let_2)) :args (_let_124 true _let_11 false _let_32 false _let_171)))) (let ((_let_173 (REORDERING (CNF_OR_POS :args (_let_169)) :args ((or _let_41 _let_148 _let_46 _let_123 _let_168 (not _let_169)))))) (let ((_let_174 (tptp.product tptp.e_3 tptp.e_3 tptp.e_2))) (let ((_let_175 (not _let_174))) (let ((_let_176 (not _let_168))) (let ((_let_177 (or _let_176 _let_175 _let_111))) (let ((_let_178 (tptp.product tptp.e_3 tptp.e_3 tptp.e_1))) (let ((_let_179 (not _let_178))) (let ((_let_180 (or _let_179 _let_176 _let_164))) (let ((_let_181 (or _let_148 _let_148 _let_178 _let_174 _let_164))) (let ((_let_182 (or _let_115 _let_176 _let_7))) (let ((_let_183 (or _let_62 _let_115 _let_13))) (let ((_let_184 (not _let_162))) (let ((_let_185 (or _let_33 _let_184 _let_11))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X W Y) false)) _let_141))) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_13 _let_33 _let_31 _let_37))) _let_89 _let_154 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_40 _let_39 _let_30 _let_38 (not _let_42)))) _let_143 _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_7 _let_159 _let_158 (not _let_160)))) _let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_41 _let_148 _let_157 _let_162 _let_161 (not _let_163)))) _let_143 _let_153 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_185)) :args ((or _let_11 _let_33 _let_184 (not _let_185)))) _let_146 _let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_35)) _let_36 :args (_let_185 false _let_3)) :args (_let_184 true _let_11 false _let_32 false _let_185)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_11 _let_166 _let_165 (not _let_167)))) _let_146 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_181))) :args ((or _let_148 _let_178 _let_174 _let_164 (not _let_181)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_1) true))))) :args _let_43)) _let_44 :args (_let_181 false _let_4)) _let_153 (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_176 _let_179 _let_164 (not _let_180)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_3 tptp.e_3 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_49)) _let_50 :args (_let_180 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_177)) :args ((or _let_111 _let_176 _let_175 (not _let_177)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_49)) _let_50 :args (_let_177 false _let_1)) (MACRO_RESOLUTION_TRUST _let_155 _let_59 _let_173 _let_172 _let_170 _let_153 _let_143 (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_13 _let_62 _let_115 (not _let_183)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_140)) :args _let_138)) _let_139 :args (_let_183 false _let_2)) _let_89 (REORDERING (CNF_OR_POS :args (_let_182)) :args ((or _let_7 _let_115 _let_176 (not _let_182)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_140)) :args _let_138)) _let_139 :args (_let_182 false _let_2)) _let_137 :args (_let_115 false _let_56 false _let_46 true _let_123 false _let_169 false _let_15 false _let_17 true _let_54 false _let_183 true _let_13 true _let_168 false _let_182 true _let_7)) :args ((or _let_176 _let_164) false _let_181 false _let_15 true _let_178 false _let_180 true _let_174 false _let_177 true _let_111)) (MACRO_RESOLUTION_TRUST _let_173 _let_143 _let_153 _let_156 _let_172 _let_170 :args (_let_168 false _let_17 false _let_15 true _let_46 true _let_123 false _let_169)) :args (_let_164 false _let_168)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.e_1 tptp.e_3 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_140)) :args _let_138)) _let_139 :args (_let_167 false _let_2)) :args (_let_166 true _let_11 false _let_164 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_43)) _let_44 :args (_let_163 false _let_4)) :args (_let_157 false _let_17 false _let_15 true _let_162 true _let_161 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_35)) _let_36 :args (_let_160 false _let_3)) :args (_let_159 true _let_7 false _let_157 false _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_33 _let_46 _let_47 (not _let_48)))) _let_154 _let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_49)) _let_50 :args (_let_48 false _let_1)) :args (_let_47 false _let_32 true _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_43)) _let_44 :args (_let_42 false _let_4)) :args (_let_30 false _let_17 false _let_16 true _let_39 true _let_38 false _let_42)) :args (_let_37 true _let_13 false _let_32 false _let_30)) _let_36 :args (false true _let_34 false _let_3)) :args (_let_29 _let_28 _let_27 _let_26 _let_25 (tptp.greater tptp.e_3 tptp.e_0) _let_24 (tptp.greater tptp.e_3 tptp.e_1) (tptp.greater tptp.e_3 tptp.e_2) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.cycle X Y)) (not (tptp.cycle X Z)) (tptp.equalish Y Z))) _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_12 _let_10 _let_8 (not (tptp.equalish tptp.e_3 tptp.e_1)) _let_6 _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_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.61 )
% 0.19/0.61 % SZS output end Proof for GRP130-3.003
% 0.19/0.62 % cvc5---1.0.5 exiting
% 0.19/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------