TSTP Solution File: GRP134-1.003 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP134-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 0.57s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GRP134-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 20:06:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.snekkmHO0S/cvc5---1.0.5_4563.p...
% 0.20/0.50 ------- get file name : TPTP file name is GRP134-1.003
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4563.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57 % SZS status Unsatisfiable for GRP134-1.003
% 0.20/0.57 % SZS output start Proof for GRP134-1.003
% 0.20/0.58 (
% 0.20/0.58 (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 ((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_2 tptp.e_1))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.group_element tptp.e_2))) (let ((_let_10 (tptp.group_element tptp.e_1))) (let ((_let_11 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_12 (tptp.product tptp.e_3 tptp.e_3 tptp.e_1))) (let ((_let_13 (tptp.product tptp.e_1 tptp.e_2 tptp.e_3))) (let ((_let_14 (not _let_13))) (let ((_let_15 (not _let_11))) (let ((_let_16 (or _let_15 _let_14 _let_12))) (let ((_let_17 (tptp.product tptp.e_2 tptp.e_2 tptp.e_1))) (let ((_let_18 (tptp.product tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_19 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (not _let_18))) (let ((_let_22 (or _let_21 _let_20 _let_7))) (let ((_let_23 (tptp.product tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_21 _let_24 _let_19))) (let ((_let_26 (tptp.product tptp.e_1 tptp.e_1 tptp.e_2))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_27 _let_17))) (let ((_let_29 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.product tptp.e_1 tptp.e_2 tptp.e_1))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_26))) (let ((_let_34 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_30 _let_7))) (let ((_let_37 (not _let_9))) (let ((_let_38 (not _let_10))) (let ((_let_39 (or _let_38 _let_37 _let_31 _let_18 _let_13))) (let ((_let_40 (tptp.product tptp.e_1 tptp.e_1 tptp.e_3))) (let ((_let_41 (or _let_38 _let_38 _let_34 _let_26 _let_40))) (let ((_let_42 (not _let_40))) (let ((_let_43 (or _let_14 _let_42 _let_5))) (let ((_let_44 (_let_1))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (not (= (tptp.product X Y Z1) false)))) (let ((_let_47 (_let_46 (not (= (tptp.product Y X Z2) false))))) (let ((_let_48 (tptp.product tptp.e_2 tptp.e_2 tptp.e_3))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_15 _let_49 _let_7))) (let ((_let_51 (or _let_42 _let_15 _let_7))) (let ((_let_52 (tptp.product tptp.e_3 tptp.e_3 tptp.e_2))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_53 _let_48))) (let ((_let_55 (or _let_14 _let_15 _let_52))) (let ((_let_56 (or _let_32 _let_35 _let_5))) (let ((_let_57 (ASSUME :args (_let_8)))) (let ((_let_58 (_let_3))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((not (= (tptp.product X Z Y) false)) (not (= (tptp.equalish W Z) true))))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_50 false _let_3)))) (let ((_let_62 (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_7 _let_49 _let_15 (not _let_50)))))) (let ((_let_63 (_let_2))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (not (= (tptp.equalish W Z) true)))) (let ((_let_66 ((not (= (tptp.product W Y X) false)) _let_65))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_51 false _let_2)))) (let ((_let_68 (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_7 _let_42 _let_15 (not _let_51)))))) (let ((_let_69 (ASSUME :args (_let_10)))) (let ((_let_70 (_let_4))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_1 tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_70)) _let_71 :args (_let_41 false _let_4)))) (let ((_let_73 (REORDERING (FACTORING (CNF_OR_POS :args (_let_41))) :args ((or _let_38 _let_34 _let_26 _let_40 (not _let_41)))))) (let ((_let_74 ((not (= (tptp.product Z1 Z2 Y) true)) _let_46))) (let ((_let_75 (ASSUME :args (_let_6)))) (let ((_let_76 (ASSUME :args (_let_9)))) (let ((_let_77 ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_70)) _let_71 :args (_let_39 false _let_4)))) (let ((_let_79 (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_37 _let_31 _let_18 _let_13 (not _let_39)))))) (let ((_let_80 (or _let_37 _let_38 _let_29 _let_23 _let_11))) (let ((_let_81 (or _let_24 _let_32 _let_29))) (let ((_let_82 (or _let_24 _let_20 _let_7))) (let ((_let_83 (or _let_37 _let_37 _let_17 _let_19 _let_48))) (let ((_let_84 (or _let_49 _let_14 _let_5))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_70)) _let_71 :args (_let_80 false _let_4)))) (let ((_let_86 (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_38 _let_37 _let_29 _let_23 _let_11 (not _let_80)))))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_1) true))))) :args _let_70)) _let_71 :args (_let_83 false _let_4)))) (let ((_let_88 (REORDERING (FACTORING (CNF_OR_POS :args (_let_83))) :args ((or _let_37 _let_17 _let_19 _let_48 (not _let_83)))))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_44)) _let_45 :args (_let_25 false _let_1)))) (let ((_let_90 (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_19 _let_21 _let_24 (not _let_25)))))) (let ((_let_91 (_let_65 (not (= (tptp.product Z Y X) false))))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_63)) _let_64 :args (_let_22 false _let_2)))) (let ((_let_93 (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_7 _let_20 _let_21 (not _let_22)))))) (let ((_let_94 (or _let_21 _let_30 _let_23))) (let ((_let_95 (MACRO_RESOLUTION_TRUST _let_90 _let_89 (MACRO_RESOLUTION_TRUST _let_62 _let_61 _let_57 _let_88 _let_87 _let_76 _let_86 _let_85 _let_76 _let_69 _let_93 _let_92 _let_57 (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_23 _let_21 _let_30 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_44)) _let_45 :args (_let_94 false _let_1)) :args ((or _let_17 _let_23 _let_21) false _let_50 true _let_7 false _let_48 false _let_83 false _let_9 false _let_11 false _let_80 false _let_9 false _let_10 true _let_19 false _let_22 true _let_7 true _let_29 false _let_94)) _let_93 _let_92 _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_5 _let_42 _let_14 (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_43 false _let_3)) _let_75 _let_73 _let_72 _let_69 _let_79 _let_78 _let_76 _let_69 (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_7 _let_35 _let_30 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_63)) _let_64 :args (_let_36 false _let_2)) _let_57 (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_26 _let_32 _let_30 (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_44)) _let_45 :args (_let_33 false _let_1)) (MACRO_RESOLUTION_TRUST _let_79 _let_78 _let_76 _let_69 (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_5 _let_49 _let_14 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_2 tptp.e_2 tptp.e_3 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_84 false _let_2)) _let_75 _let_90 _let_89 _let_88 _let_87 _let_76 (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_7 _let_20 _let_24 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_82 false _let_3)) _let_57 (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_29 _let_32 _let_24 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_74)) :args _let_44)) _let_45 :args (_let_81 false _let_1)) _let_86 _let_85 _let_76 _let_69 :args ((or _let_17 _let_29 _let_11) false _let_39 false _let_9 false _let_10 true _let_13 false _let_84 true _let_5 true _let_18 false _let_25 false _let_48 false _let_83 false _let_9 true _let_19 false _let_82 true _let_7 true _let_31 false _let_81 false _let_23 false _let_80 false _let_9 false _let_10)) (MACRO_RESOLUTION_TRUST _let_79 _let_78 _let_76 _let_69 (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_5 _let_35 _let_32 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_56 false _let_3)) _let_75 (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_52 _let_14 _let_15 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_74)) :args _let_44)) _let_45 :args (_let_55 false _let_1)) _let_73 _let_72 _let_69 (REORDERING (FACTORING (CNF_OR_POS :args (_let_54))) :args ((or _let_48 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_3 tptp.e_3 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_44)) _let_45 :args (_let_54 false _let_1)) _let_68 _let_67 _let_57 _let_62 _let_61 _let_57 :args ((or _let_26 _let_18 _let_15) false _let_39 false _let_9 false _let_10 true _let_31 false _let_56 true _let_5 true _let_13 false _let_55 false _let_34 false _let_41 false _let_10 true _let_52 false _let_54 true _let_40 false _let_51 true _let_7 true _let_48 false _let_50 true _let_7)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_28))) :args ((or _let_27 _let_17 (not _let_28)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_44)) _let_45 :args ((or _let_17 _let_18) false _let_43 true _let_5 false _let_40 false _let_41 false _let_10 false _let_13 false _let_39 false _let_9 false _let_10 true _let_34 false _let_36 true _let_7 true _let_31 false _let_33 false _let_29 true _let_11 true _let_26 false _let_28 false _let_1)) :args (_let_17 false _let_25 false _let_23 true _let_19 false _let_22 true _let_7 false _let_18)))) (let ((_let_96 (not _let_17))) (let ((_let_97 (or _let_30 _let_96 _let_7))) (let ((_let_98 (or _let_96 _let_96 _let_26))) (let ((_let_99 (or _let_27 _let_24 _let_7))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_44)) _let_45 :args (_let_98 false _let_1)))) (let ((_let_101 (REORDERING (FACTORING (CNF_OR_POS :args (_let_98))) :args ((or _let_26 _let_96 (not _let_98)))))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_7 _let_27 _let_24 (not _let_99)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_99 false _let_2)) _let_57 _let_86 _let_85 _let_76 _let_69 _let_101 _let_100 (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_7 _let_96 _let_30 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_97 false _let_3)) _let_57 :args ((or _let_96 _let_11) false _let_99 true _let_7 false _let_23 false _let_80 false _let_9 false _let_10 false _let_26 false _let_98 true _let_29 false _let_97 true _let_7)) _let_95 :args (_let_11 false _let_17)))) (let ((_let_103 (or _let_21 _let_27 _let_5))) (let ((_let_104 (or _let_96 _let_32 _let_5))) (let ((_let_105 (not _let_12))) (let ((_let_106 (or _let_105 _let_105 _let_40))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_12 _let_14 _let_15 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_106))) :args ((or _let_40 _let_105 (not _let_106)))) (MACRO_RESOLUTION_TRUST _let_68 _let_57 _let_102 _let_67 :args (_let_42 true _let_7 false _let_11 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_3 tptp.e_3 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_44)) _let_45 :args (_let_106 false _let_1)) :args (_let_105 true _let_40 false _let_106)) (MACRO_RESOLUTION_TRUST _let_79 _let_69 _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_5 _let_96 _let_32 (not _let_104)))) _let_75 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_63)) _let_64 :args (_let_104 false _let_2)) :args (_let_32 true _let_5 false _let_17 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_5 _let_27 _let_21 (not _let_103)))) _let_75 (MACRO_RESOLUTION_TRUST _let_101 _let_95 _let_100 :args (_let_26 false _let_17 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_103 false _let_3)) :args (_let_21 true _let_5 false _let_26 false _let_103)) _let_78 :args (_let_13 false _let_10 false _let_9 true _let_31 true _let_18 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_74)) :args _let_44)) _let_45 :args (_let_16 false _let_1)) _let_102 :args (false true _let_12 false _let_13 false _let_16 false _let_11)) :args (_let_10 _let_9 (tptp.group_element tptp.e_3) _let_8 (not (tptp.equalish tptp.e_1 tptp.e_3)) _let_6 (not (tptp.equalish tptp.e_2 tptp.e_3)) (not (tptp.equalish tptp.e_3 tptp.e_1)) (not (tptp.equalish tptp.e_3 tptp.e_2)) _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.58 )
% 0.20/0.58 % SZS output end Proof for GRP134-1.003
% 0.20/0.58 % cvc5---1.0.5 exiting
% 0.20/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------