TSTP Solution File: GRP133-1.003 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP133-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 00:24:44 EDT 2023

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP133-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n009.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 02:13:20 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.V0TbujPjMy/cvc5---1.0.5_21076.p...
% 0.20/0.49  ------- get file name : TPTP file name is GRP133-1.003
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21076.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56  % SZS status Unsatisfiable for GRP133-1.003
% 0.20/0.56  % SZS output start Proof for GRP133-1.003
% 0.38/0.56  (
% 0.38/0.56  (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 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_3 tptp.e_1))) (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 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_19 (tptp.product tptp.e_3 tptp.e_3 tptp.e_1))) (let ((_let_20 (not _let_18))) (let ((_let_21 (tptp.product tptp.e_1 tptp.e_2 tptp.e_3))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_19))) (let ((_let_24 (tptp.product tptp.e_2 tptp.e_2 tptp.e_1))) (let ((_let_25 (tptp.product tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_26 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_27 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_26))) (let ((_let_30 (or _let_29 _let_28 _let_13))) (let ((_let_31 (not _let_17))) (let ((_let_32 (not _let_16))) (let ((_let_33 (or _let_32 _let_31 _let_27 _let_25 _let_18))) (let ((_let_34 (tptp.product tptp.e_1 tptp.e_1 tptp.e_3))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_22 _let_35 _let_9))) (let ((_let_37 (not _let_19))) (let ((_let_38 (or _let_37 _let_37 _let_34))) (let ((_let_39 (not _let_25))) (let ((_let_40 (tptp.product tptp.e_2 tptp.e_3 tptp.e_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_7))) (let ((_let_43 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_39 _let_44 _let_13))) (let ((_let_46 (or _let_39 _let_22 _let_40))) (let ((_let_47 (tptp.product tptp.e_2 tptp.e_2 tptp.e_3))) (let ((_let_48 (or _let_32 _let_32 _let_24 _let_43 _let_47))) (let ((_let_49 (tptp.product tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_39 _let_50 _let_43))) (let ((_let_52 (tptp.product tptp.e_1 tptp.e_2 tptp.e_1))) (let ((_let_53 (or _let_31 _let_32 _let_52 _let_49 _let_21))) (let ((_let_54 (tptp.product tptp.e_3 tptp.e_3 tptp.e_2))) (let ((_let_55 (not _let_47))) (let ((_let_56 (or _let_55 _let_55 _let_54))) (let ((_let_57 (not _let_52))) (let ((_let_58 (or _let_57 _let_29 _let_9))) (let ((_let_59 (tptp.product tptp.e_1 tptp.e_3 tptp.e_2))) (let ((_let_60 (not _let_59))) (let ((_let_61 (not _let_54))) (let ((_let_62 (or _let_61 _let_60 _let_7))) (let ((_let_63 (ASSUME :args (_let_8)))) (let ((_let_64 (_let_3))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 ((not (= (tptp.product X Z Y) false)) (not (= (tptp.equalish W Z) true))))) (let ((_let_67 (ASSUME :args (_let_14)))) (let ((_let_68 (_let_1))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (not (= (tptp.product X Y Z1) false)))) (let ((_let_71 ((not (= (tptp.product Z1 Z2 X) true)) _let_70))) (let ((_let_72 (ASSUME :args (_let_16)))) (let ((_let_73 (_let_4))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((not (= (tptp.product X Y tptp.e_1) true))))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_48 false _let_4)))) (let ((_let_77 (REORDERING (FACTORING (CNF_OR_POS :args (_let_48))) :args ((or _let_32 _let_24 _let_43 _let_47 (not _let_48)))))) (let ((_let_78 (_let_70 (not (= (tptp.product Y X Z2) false))))) (let ((_let_79 (ASSUME :args (_let_17)))) (let ((_let_80 ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_73)) _let_74 :args (_let_53 false _let_4)))) (let ((_let_82 (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_31 _let_32 _let_52 _let_49 _let_21 (not _let_53)))))) (let ((_let_83 (ASSUME :args (_let_10)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_58 false _let_3)))) (let ((_let_85 (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_9 _let_29 _let_57 (not _let_58)))))) (let ((_let_86 (_let_2))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (not (= (tptp.equalish W Z) true)))) (let ((_let_89 ((not (= (tptp.product W Y X) false)) _let_88))) (let ((_let_90 (tptp.product tptp.e_1 tptp.e_3 tptp.e_3))) (let ((_let_91 (tptp.product tptp.e_1 tptp.e_3 tptp.e_1))) (let ((_let_92 (not _let_15))) (let ((_let_93 (or _let_31 _let_92 _let_91 _let_59 _let_90))) (let ((_let_94 (not _let_91))) (let ((_let_95 (or _let_37 _let_94 _let_7))) (let ((_let_96 (or _let_35 _let_35 _let_19))) (let ((_let_97 (tptp.product tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_98 (or _let_31 _let_31 _let_26 _let_97 _let_34))) (let ((_let_99 (not _let_97))) (let ((_let_100 (or _let_99 _let_99 _let_24))) (let ((_let_101 (or _let_50 _let_99 _let_9))) (let ((_let_102 (or _let_99 _let_39 _let_13))) (let ((_let_103 (not _let_24))) (let ((_let_104 (or _let_28 _let_103 _let_13))) (let ((_let_105 (or _let_103 _let_57 _let_9))) (let ((_let_106 (not _let_90))) (let ((_let_107 (or _let_106 _let_35 _let_7))) (let ((_let_108 (or _let_106 _let_22 _let_5))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.e_1 tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_73)) _let_74 :args (_let_98 false _let_4)))) (let ((_let_110 (REORDERING (FACTORING (CNF_OR_POS :args (_let_98))) :args ((or _let_31 _let_26 _let_97 _let_34 (not _let_98)))))) (let ((_let_111 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_68)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST _let_111 _let_69 :args (_let_100 false _let_1)))) (let ((_let_113 (REORDERING (FACTORING (CNF_OR_POS :args (_let_100))) :args ((or _let_99 _let_24 (not _let_100)))))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_101 false _let_3)))) (let ((_let_115 (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_9 _let_99 _let_50 (not _let_101)))))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_105 false _let_2)))) (let ((_let_117 (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_9 _let_103 _let_57 (not _let_105)))))) (let ((_let_118 (ASSUME :args (_let_15)))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_68)) _let_69 :args (_let_96 false _let_1)))) (let ((_let_120 (REORDERING (FACTORING (CNF_OR_POS :args (_let_96))) :args ((or _let_35 _let_19 (not _let_96)))))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_102 false _let_2)))) (let ((_let_122 (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_13 _let_99 _let_39 (not _let_102)))))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_104 false _let_3)))) (let ((_let_124 (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_13 _let_103 _let_28 (not _let_104)))))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_73)) _let_74 :args (_let_33 false _let_4)))) (let ((_let_126 (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_31 _let_32 _let_27 _let_25 _let_18 (not _let_33)))))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_71)) :args _let_68)) _let_69 :args (_let_23 false _let_1)))) (let ((_let_128 (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_19 _let_22 _let_20 (not _let_23)))))) (let ((_let_129 (MACRO_RESOLUTION_TRUST _let_128 _let_127 _let_82 _let_81 _let_72 _let_79 _let_126 _let_125 _let_72 _let_79 _let_117 _let_116 _let_83 _let_124 _let_123 _let_67 _let_122 _let_121 _let_67 _let_115 _let_114 _let_83 _let_113 _let_112 _let_110 _let_109 _let_79 _let_120 _let_119 (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_7 _let_37 _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.e_3 tptp.e_3 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_95 false _let_2)) _let_63 (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_31 _let_92 _let_91 _let_59 _let_90 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_93 false _let_4)) _let_118 _let_79 (MACRO_RESOLUTION_TRUST _let_82 _let_81 _let_72 _let_79 _let_117 _let_116 _let_83 _let_115 _let_114 _let_83 _let_113 _let_112 _let_110 _let_109 _let_79 (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_5 _let_22 _let_106 (not _let_108)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.e_1 tptp.e_3 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_108 false _let_3)) (ASSUME :args (_let_6)) (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_7 _let_35 _let_106 (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.e_1 tptp.e_3 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_107 false _let_3)) _let_63 :args ((or _let_26 _let_106) false _let_53 false _let_16 false _let_17 true _let_52 false _let_105 true _let_9 true _let_49 false _let_101 true _let_9 false _let_24 false _let_100 false _let_97 false _let_98 false _let_17 true _let_21 false _let_108 true _let_5 true _let_34 false _let_107 true _let_7)) :args ((or _let_26 _let_59) false _let_23 false _let_21 false _let_53 false _let_16 false _let_17 false _let_18 false _let_33 false _let_16 false _let_17 true _let_52 false _let_105 true _let_9 true _let_27 false _let_104 true _let_13 true _let_25 false _let_102 true _let_13 true _let_49 false _let_101 true _let_9 false _let_24 false _let_100 false _let_97 false _let_98 false _let_17 true _let_34 false _let_96 true _let_19 false _let_95 true _let_7 false _let_91 false _let_93 false _let_15 false _let_17 true _let_90)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST _let_129 (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_7 _let_61 _let_60 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.e_3 tptp.e_3 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_62 false _let_2)) _let_63 _let_85 _let_84 _let_83 (REORDERING (FACTORING (CNF_OR_POS :args (_let_56))) :args ((or _let_55 _let_54 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.e_2 tptp.e_2 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_68)) _let_69 :args (_let_56 false _let_1)) _let_82 _let_81 _let_72 _let_79 (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_43 _let_50 _let_39 (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_68)) _let_69 :args (_let_51 false _let_1)) _let_77 _let_76 _let_72 (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_22 _let_39 _let_40 (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_71)) :args _let_68)) _let_69 :args (_let_46 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_13 _let_44 _let_39 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_45 false _let_3)) _let_67 (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_7 _let_39 _let_41 (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.e_2 tptp.e_3 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_42 false _let_3)) _let_63 :args ((or _let_24 _let_39) true _let_59 false _let_62 true _let_7 true _let_26 false _let_58 true _let_9 false _let_54 false _let_56 false _let_52 false _let_53 false _let_16 false _let_17 true _let_49 false _let_51 false _let_47 false _let_48 false _let_16 true _let_21 false _let_46 true _let_43 false _let_45 true _let_13 true _let_40 false _let_42 true _let_7)))) (let ((_let_131 (tptp.product tptp.e_3 tptp.e_1 tptp.e_2))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_60 _let_132 _let_24))) (let ((_let_134 (tptp.product tptp.e_3 tptp.e_1 tptp.e_3))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_35 _let_135 _let_11))) (let ((_let_137 (tptp.product tptp.e_3 tptp.e_1 tptp.e_1))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_37 _let_11))) (let ((_let_140 (or _let_92 _let_31 _let_137 _let_131 _let_134))) (let ((_let_141 (ASSUME :args (_let_12)))) (let ((_let_142 (_let_88 (not (= (tptp.product Z Y X) false))))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_86)) _let_87 :args (_let_30 false _let_2)))) (let ((_let_144 (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_13 _let_29 _let_28 (not _let_30)))))) (let ((_let_145 (or _let_50 _let_44 _let_13))) (let ((_let_146 (or _let_20 _let_55 _let_13))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.e_3 tptp.e_3 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_68)) _let_69 :args (_let_38 false _let_1)))) (let ((_let_148 (REORDERING (FACTORING (CNF_OR_POS :args (_let_38))) :args ((or _let_34 _let_37 (not _let_38)))))) (let ((_let_149 (MACRO_RESOLUTION_TRUST _let_148 _let_147 _let_128 _let_127 (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_9 _let_35 _let_22 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_36 false _let_3)) _let_83 _let_126 _let_125 _let_72 _let_79 (MACRO_RESOLUTION_TRUST _let_77 _let_76 _let_72 (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_13 _let_55 _let_20 (not _let_146)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_146 false _let_3)) _let_67 (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_13 _let_44 _let_50 (not _let_145)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_86)) _let_87 :args (_let_145 false _let_2)) _let_67 _let_126 _let_125 _let_72 _let_79 _let_82 _let_81 _let_72 _let_79 _let_144 _let_143 _let_67 _let_85 _let_84 _let_83 _let_130 :args ((or _let_29 _let_24 _let_21) false _let_48 false _let_16 true _let_47 false _let_146 true _let_13 true _let_43 false _let_145 true _let_13 false _let_18 false _let_33 false _let_16 false _let_17 false _let_49 false _let_53 false _let_16 false _let_17 true _let_27 false _let_30 true _let_13 true _let_52 false _let_58 true _let_9 true _let_25)) _let_144 _let_143 _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_31 _let_92 _let_137 _let_131 _let_134 (not _let_140)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_140 false _let_4)) _let_118 _let_79 (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_11 _let_37 _let_138 (not _let_139)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_139 false _let_3)) _let_141 (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_11 _let_35 _let_135 (not _let_136)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_136 false _let_2)) _let_141 _let_120 _let_119 (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_24 _let_60 _let_132 (not _let_133)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.e_1 tptp.e_3 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_68)) _let_69 :args (_let_133 false _let_1)) _let_110 _let_109 _let_79 _let_129 _let_113 _let_111 _let_69 :args ((or _let_26 _let_24) false _let_140 false _let_15 false _let_17 true _let_137 false _let_139 true _let_11 true _let_134 false _let_136 true _let_11 false _let_19 false _let_96 true _let_131 false _let_133 false _let_34 false _let_98 false _let_17 false _let_59 true _let_97 false _let_100 false _let_1)) _let_130 :args (_let_24 false _let_38 false _let_19 false _let_23 true _let_34 false _let_36 true _let_9 false _let_18 false _let_33 false _let_16 false _let_17 false _let_21 true _let_27 false _let_30 true _let_13 false _let_26 true _let_25)))) (let ((_let_150 (or _let_103 _let_103 _let_97))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_68)) _let_69 :args (_let_150 false _let_1)))) (let ((_let_152 (REORDERING (FACTORING (CNF_OR_POS :args (_let_150))) :args ((or _let_97 _let_103 (not _let_150)))))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_122 _let_121 _let_67 _let_126 _let_125 _let_72 _let_79 _let_152 _let_151 _let_124 _let_123 _let_67 :args ((or _let_103 _let_18) false _let_102 true _let_13 false _let_25 false _let_33 false _let_16 false _let_17 false _let_97 false _let_150 true _let_27 false _let_104 true _let_13)) _let_149 :args (_let_18 false _let_24)))) (let ((_let_154 (or _let_35 _let_20 _let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_128 (MACRO_RESOLUTION_TRUST _let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_13 _let_35 _let_20 (not _let_154)))) _let_67 _let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_154 false _let_2)) :args (_let_35 true _let_13 false _let_18 false _let_154)) _let_147 :args (_let_37 true _let_34 false _let_38)) (MACRO_RESOLUTION_TRUST _let_82 _let_79 _let_72 (MACRO_RESOLUTION_TRUST _let_117 _let_83 _let_149 _let_116 :args (_let_57 true _let_9 false _let_24 false _let_105)) (MACRO_RESOLUTION_TRUST _let_115 _let_83 (MACRO_RESOLUTION_TRUST _let_152 _let_149 _let_151 :args (_let_97 false _let_24 false _let_150)) _let_114 :args (_let_50 true _let_9 false _let_97 false _let_101)) _let_81 :args (_let_21 false _let_17 false _let_16 true _let_52 true _let_49 false _let_53)) _let_127 _let_153 :args (false true _let_19 false _let_21 false _let_23 false _let_18)) :args (_let_17 _let_16 _let_15 _let_14 _let_12 _let_10 (not (tptp.equalish tptp.e_2 tptp.e_3)) _let_8 _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.38/0.56  )
% 0.38/0.57  % SZS output end Proof for GRP133-1.003
% 0.38/0.57  % cvc5---1.0.5 exiting
% 0.38/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------