TSTP Solution File: GRP126-4.004 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP126-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 00:24:35 EDT 2023

% Result   : Unsatisfiable 0.46s 0.65s
% Output   : Proof 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP126-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 29 02:33:26 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.yqTzYgSBVK/cvc5---1.0.5_1304.p...
% 0.21/0.50  ------- get file name : TPTP file name is GRP126-4.004
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1304.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.46/0.65  % SZS status Unsatisfiable for GRP126-4.004
% 0.46/0.65  % SZS output start Proof for GRP126-4.004
% 0.46/0.65  (
% 0.46/0.65  (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.product X Y Z1)) (not (tptp.product Y X Z2)) (tptp.product Z1 Z2 Y))))) (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 $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y W)) (not (tptp.product X Y Z)) (tptp.equalish W Z))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X Y tptp.e_1) (tptp.product X Y tptp.e_2) (tptp.product X Y tptp.e_3) (tptp.product X Y tptp.e_4))))) (let ((_let_7 (tptp.equalish tptp.e_1 tptp.e_4))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.equalish tptp.e_1 tptp.e_3))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.group_element tptp.e_4))) (let ((_let_14 (tptp.group_element tptp.e_2))) (let ((_let_15 (tptp.group_element tptp.e_1))) (let ((_let_16 (forall ((Y $$unsorted) (X $$unsorted) (Z2 $$unsorted) (Z1 $$unsorted)) (or (tptp.product Y X Z2) (not (tptp.product Z1 Z2 Y)) (not (tptp.product X Y Z1)))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (tptp.product X Y Z1) (not (tptp.product Z1 Z2 Y)) (not (tptp.product Y X Z2)))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X tptp.e_1 Y) (tptp.product X tptp.e_2 Y) (tptp.product X tptp.e_3 Y) (tptp.product X tptp.e_4 Y))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product tptp.e_1 X Y) (tptp.product tptp.e_2 X Y) (tptp.product tptp.e_3 X Y) (tptp.product tptp.e_4 X Y))))) (let ((_let_20 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_21 (tptp.product tptp.e_2 tptp.e_1 tptp.e_4))) (let ((_let_22 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_23 (tptp.product tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_24 (not _let_15))) (let ((_let_25 (not _let_14))) (let ((_let_26 (or _let_25 _let_24 _let_20 _let_23 _let_22 _let_21))) (let ((_let_27 (ASSUME :args (_let_15)))) (let ((_let_28 (ASSUME :args (_let_14)))) (let ((_let_29 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_20))) (let ((_let_32 (tptp.product tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_33 (or _let_32 _let_31 _let_30))) (let ((_let_34 (_let_17))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not (= (tptp.product Z1 Z2 Y) false)))) (let ((_let_37 (_let_36 (not (= (tptp.product Y X Z2) false))))) (let ((_let_38 (not _let_32))) (let ((_let_39 (or _let_30 _let_38 _let_11))) (let ((_let_40 (_let_5))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((not (= (tptp.product X Y W) false)) (not (= (tptp.product X Y Z) false))))) (let ((_let_43 (_let_2))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_43)) _let_44 :args (_let_29 false _let_2)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_11 _let_30 _let_38 (not _let_39)))) (ASSUME :args (_let_12)) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_39 false _let_5)) :args (_let_38 true _let_11 false _let_29 false _let_39)))) (let ((_let_47 (_let_6))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((not (= (tptp.product X Y tptp.e_1) true))))) (let ((_let_50 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_51 (not _let_50))) (let ((_let_52 (not _let_23))) (let ((_let_53 (tptp.product tptp.e_2 tptp.e_2 tptp.e_1))) (let ((_let_54 (or _let_53 _let_52 _let_51))) (let ((_let_55 (_let_16))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (not (= (tptp.product Y X Z2) true)))) (let ((_let_58 ((not (= (tptp.product X X X) true))))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_43)) _let_44 :args (_let_50 false _let_2)))) (let ((_let_60 (not _let_53))) (let ((_let_61 (or _let_60 _let_60 _let_32))) (let ((_let_62 (_let_1))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((not (= (tptp.product X Y Z1) false)) (not (= (tptp.product Y X Z2) false))))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_61))) :args ((or _let_32 _let_60 (not _let_61)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_61 false _let_1)) :args (_let_60 true _let_32 false _let_61)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 _let_51 (not _let_54)))) _let_65 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING (_let_57 (not (= (tptp.product X Y Z1) false))))) :args _let_55)) _let_56 :args (_let_54 false _let_16)) :args (_let_52 true _let_53 false _let_50 false _let_54)))) (let ((_let_67 (not _let_21))) (let ((_let_68 (tptp.product tptp.e_4 tptp.e_2 tptp.e_1))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.product tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_71 (or _let_70 _let_69 _let_67))) (let ((_let_72 (_let_57 (not (= (tptp.product Z1 Z2 Y) false))))) (let ((_let_73 (tptp.product tptp.e_4 tptp.e_4 tptp.e_1))) (let ((_let_74 (tptp.product tptp.e_4 tptp.e_3 tptp.e_1))) (let ((_let_75 (tptp.product tptp.e_4 tptp.e_1 tptp.e_1))) (let ((_let_76 (not _let_13))) (let ((_let_77 (or _let_76 _let_24 _let_75 _let_68 _let_74 _let_73))) (let ((_let_78 (_let_18))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((not (= (tptp.product X tptp.e_1 Y) true))))) (let ((_let_81 (tptp.product tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_82 (not _let_81))) (let ((_let_83 (not _let_73))) (let ((_let_84 (or _let_83 _let_82 _let_7))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_43)) _let_44 :args (_let_81 false _let_2)))) (let ((_let_86 (ASSUME :args (_let_8)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_7 _let_83 _let_82 (not _let_84)))) _let_86 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.e_4 tptp.e_4 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_84 false _let_5)) :args (_let_83 true _let_7 false _let_81 false _let_84)))) (let ((_let_88 (tptp.product tptp.e_1 tptp.e_1 tptp.e_3))) (let ((_let_89 (tptp.product tptp.e_3 tptp.e_4 tptp.e_1))) (let ((_let_90 (not _let_89))) (let ((_let_91 (not _let_74))) (let ((_let_92 (or _let_91 _let_90 _let_88))) (let ((_let_93 (tptp.product tptp.e_2 tptp.e_4 tptp.e_1))) (let ((_let_94 (tptp.product tptp.e_1 tptp.e_4 tptp.e_1))) (let ((_let_95 (or _let_76 _let_24 _let_94 _let_93 _let_89 _let_73))) (let ((_let_96 (_let_19))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (tptp.product tptp.e_1 tptp.e_4 tptp.e_4))) (let ((_let_99 (tptp.product tptp.e_4 tptp.e_1 tptp.e_2))) (let ((_let_100 (not _let_99))) (let ((_let_101 (not _let_93))) (let ((_let_102 (or _let_98 _let_101 _let_100))) (let ((_let_103 (tptp.product tptp.e_1 tptp.e_1 tptp.e_4))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_32 _let_101 _let_104))) (let ((_let_106 (tptp.product tptp.e_1 tptp.e_2 tptp.e_4))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_23 _let_101 _let_107))) (let ((_let_109 (tptp.product tptp.e_4 tptp.e_1 tptp.e_4))) (let ((_let_110 (tptp.product tptp.e_4 tptp.e_1 tptp.e_3))) (let ((_let_111 (or _let_76 _let_24 _let_75 _let_99 _let_110 _let_109))) (let ((_let_112 (tptp.product tptp.e_1 tptp.e_3 tptp.e_4))) (let ((_let_113 (or _let_24 _let_76 _let_103 _let_106 _let_112 _let_98))) (let ((_let_114 (not _let_110))) (let ((_let_115 (not _let_112))) (let ((_let_116 (or _let_94 _let_115 _let_114))) (let ((_let_117 (not _let_98))) (let ((_let_118 (or _let_117 _let_82 _let_7))) (let ((_let_119 (_let_3))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 ((not (= (tptp.product W Y X) false)) (not (= (tptp.product Z Y X) false))))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_7 _let_117 _let_82 (not _let_118)))) _let_86 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.e_1 tptp.e_4 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_119)) _let_120 :args (_let_118 false _let_3)) :args (_let_117 true _let_7 false _let_81 false _let_118)))) (let ((_let_123 ((not (= (tptp.product X Y Z1) true)) _let_36))) (let ((_let_124 (ASSUME :args (_let_13)))) (let ((_let_125 (not _let_75))) (let ((_let_126 (or _let_30 _let_125 _let_7))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_7 _let_30 _let_125 (not _let_126)))) _let_86 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_119)) _let_120 :args (_let_126 false _let_3)) :args (_let_125 true _let_7 false _let_29 false _let_126)))) (let ((_let_128 (not _let_109))) (let ((_let_129 (or _let_128 _let_82 _let_7))) (let ((_let_130 (_let_4))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 ((not (= (tptp.product X W Y) false)) (not (= (tptp.product X Z Y) false))))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_7 _let_128 _let_82 (not _let_129)))) _let_86 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.e_4 tptp.e_1 tptp.e_4 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_132)) :args _let_130)) _let_131 :args (_let_129 false _let_4)) :args (_let_128 true _let_7 false _let_81 false _let_129)))) (let ((_let_134 (not _let_94))) (let ((_let_135 (or _let_30 _let_134 _let_7))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_7 _let_30 _let_134 (not _let_135)))) _let_86 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_132)) :args _let_130)) _let_131 :args (_let_135 false _let_4)) :args (_let_134 true _let_7 false _let_29 false _let_135)))) (let ((_let_137 (not _let_88))) (let ((_let_138 (or _let_30 _let_137 _let_9))) (let ((_let_139 (ASSUME :args (_let_10)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_24 _let_76 _let_75 _let_68 _let_74 _let_73 (not _let_77)))) _let_27 _let_124 _let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_88 _let_91 _let_90 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_9 _let_30 _let_137 (not _let_138)))) _let_139 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_138 false _let_5)) :args (_let_137 true _let_9 false _let_29 false _let_138)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_24 _let_76 _let_94 _let_93 _let_89 _let_73 (not _let_95)))) _let_27 _let_124 _let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_94 _let_114 _let_115 (not _let_116)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_1 tptp.e_4 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_34)) _let_35 :args (_let_116 false _let_17)) _let_136 (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_24 _let_76 _let_103 _let_106 _let_112 _let_98 (not _let_113)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_113 false _let_18)) _let_124 _let_27 (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_24 _let_76 _let_75 _let_99 _let_110 _let_109 (not _let_111)))) _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_111 false _let_6)) _let_127 _let_124 _let_27 (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_23 _let_101 _let_107 (not _let_108)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_123)) :args _let_34)) _let_35 :args (_let_108 false _let_17)) _let_66 (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_32 _let_104 _let_101 (not _let_105)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_34)) _let_35 :args (_let_105 false _let_17)) _let_46 (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_98 _let_100 _let_101 (not _let_102)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_1 tptp.e_4 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_55)) _let_56 :args (_let_102 false _let_16)) _let_122 :args (_let_101 false _let_116 true _let_94 false _let_112 true _let_98 false _let_113 false _let_13 false _let_15 false _let_110 true _let_109 false _let_111 true _let_75 false _let_13 false _let_15 true _let_106 false _let_108 true _let_23 true _let_103 false _let_105 true _let_32 true _let_99 false _let_102 true _let_98)) _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product tptp.e_1 X Y) true))))) :args _let_96)) _let_97 :args (_let_95 false _let_19)) :args (_let_89 false _let_15 false _let_13 true _let_94 true _let_93 true _let_73 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.e_4 tptp.e_3 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_92 false _let_1)) :args (_let_91 true _let_88 false _let_89 false _let_92)) _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_77 false _let_18)) :args (_let_68 false _let_15 false _let_13 true _let_75 true _let_74 true _let_73 false _let_77)))) (let ((_let_141 (not _let_70))) (let ((_let_142 (or _let_53 _let_141 _let_51))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_53 _let_141 _let_51 (not _let_142)))) _let_65 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_34)) _let_35 :args (_let_142 false _let_17)) :args (_let_141 true _let_53 false _let_50 false _let_142)))) (let ((_let_144 (tptp.product tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_145 (not _let_144))) (let ((_let_146 (not _let_22))) (let ((_let_147 (tptp.product tptp.e_3 tptp.e_1 tptp.e_1))) (let ((_let_148 (or _let_147 _let_146 _let_145))) (let ((_let_149 (tptp.product tptp.e_1 tptp.e_4 tptp.e_2))) (let ((_let_150 (or _let_24 _let_25 _let_32 _let_70 _let_144 _let_149))) (let ((_let_151 (not _let_149))) (let ((_let_152 (or _let_109 _let_69 _let_151))) (let ((_let_153 (not _let_147))) (let ((_let_154 (or _let_30 _let_153 _let_9))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_24 _let_25 _let_20 _let_23 _let_22 _let_21 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_147 _let_146 _let_145 (not _let_148)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_9 _let_30 _let_153 (not _let_154)))) _let_139 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_119)) _let_120 :args (_let_154 false _let_3)) :args (_let_153 true _let_9 false _let_29 false _let_154)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_24 _let_25 _let_32 _let_70 _let_144 _let_149 (not _let_150)))) _let_27 _let_28 _let_46 _let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_109 _let_69 _let_151 (not _let_152)))) _let_133 _let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_4 tptp.e_1 tptp.e_4 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_123)) :args _let_34)) _let_35 :args (_let_152 false _let_17)) :args (_let_151 true _let_109 false _let_68 false _let_152)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_150 false _let_18)) :args (_let_144 false _let_15 false _let_14 true _let_32 true _let_70 true _let_149 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_55)) _let_56 :args (_let_148 false _let_16)) :args (_let_146 true _let_147 false _let_144 false _let_148)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_67 _let_69 (not _let_71)))) _let_143 _let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_55)) _let_56 :args (_let_71 false _let_16)) :args (_let_67 true _let_70 false _let_68 false _let_71)) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_26 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_30 _let_32 _let_31 (not _let_33)))) _let_45 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_34)) _let_35 :args (_let_33 false _let_17)) :args (_let_31 false _let_29 true _let_32 false _let_33)) _let_28 _let_27 :args (false true _let_22 true _let_21 true _let_23 false _let_26 true _let_20 false _let_14 false _let_15)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 _let_14 (tptp.group_element tptp.e_3) _let_13 _let_12 _let_10 _let_8 (not (tptp.equalish tptp.e_2 tptp.e_1)) (not (tptp.equalish tptp.e_2 tptp.e_3)) (not (tptp.equalish tptp.e_2 tptp.e_4)) (not (tptp.equalish tptp.e_3 tptp.e_1)) (not (tptp.equalish tptp.e_3 tptp.e_2)) (not (tptp.equalish tptp.e_3 tptp.e_4)) (not (tptp.equalish tptp.e_4 tptp.e_1)) (not (tptp.equalish tptp.e_4 tptp.e_2)) (not (tptp.equalish tptp.e_4 tptp.e_3)) _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.46/0.65  )
% 0.46/0.65  % SZS output end Proof for GRP126-4.004
% 0.46/0.66  % cvc5---1.0.5 exiting
% 0.46/0.66  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------