TSTP Solution File: GRP126-2.004 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP126-2.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 00:24:34 EDT 2023
% Result : Unsatisfiable 0.18s 0.61s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP126-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.13 % Command : do_cvc5 %s %d
% 0.13/0.32 % Computer : n003.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 23:34:40 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.47 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.4v6YMbGHzj/cvc5---1.0.5_23829.p...
% 0.18/0.47 ------- get file name : TPTP file name is GRP126-2.004
% 0.18/0.48 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23829.smt2...
% 0.18/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.61 % SZS status Unsatisfiable for GRP126-2.004
% 0.18/0.61 % SZS output start Proof for GRP126-2.004
% 0.18/0.61 (
% 0.18/0.61 (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 $$unsorted)) (or (not (tptp.group_element X)) (not (tptp.group_element Y)) (tptp.product X Y tptp.e_1) (tptp.product X Y tptp.e_2) (tptp.product X Y tptp.e_3) (tptp.product X Y tptp.e_4))))) (let ((_let_7 (tptp.equalish tptp.e_4 tptp.e_1))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.equalish tptp.e_3 tptp.e_1))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.equalish tptp.e_2 tptp.e_4))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.equalish tptp.e_2 tptp.e_3))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.equalish tptp.e_2 tptp.e_1))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.equalish tptp.e_1 tptp.e_4))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.equalish tptp.e_1 tptp.e_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.group_element tptp.e_4))) (let ((_let_22 (tptp.group_element tptp.e_2))) (let ((_let_23 (tptp.group_element tptp.e_1))) (let ((_let_24 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (or (not (tptp.product X tptp.e_1 Y)) (not (tptp.next X X1)) (not (tptp.greater Y X1)))))) (let ((_let_25 (tptp.greater tptp.e_4 tptp.e_3))) (let ((_let_26 (tptp.next tptp.e_2 tptp.e_3))) (let ((_let_27 (tptp.product tptp.e_4 tptp.e_1 tptp.e_4))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.product tptp.e_4 tptp.e_4 tptp.e_4))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_7))) (let ((_let_32 (_let_4))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (not _let_31))) (let ((_let_35 (_let_2))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((not (= (tptp.product X X X) true))))) (let ((_let_38 (tptp.product tptp.e_4 tptp.e_1 tptp.e_3))) (let ((_let_39 (tptp.product tptp.e_4 tptp.e_1 tptp.e_2))) (let ((_let_40 (tptp.product tptp.e_4 tptp.e_1 tptp.e_1))) (let ((_let_41 (not _let_23))) (let ((_let_42 (not _let_21))) (let ((_let_43 (or _let_42 _let_41 _let_40 _let_39 _let_38 _let_27))) (let ((_let_44 (_let_6))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (not _let_38))) (let ((_let_47 (tptp.product tptp.e_2 tptp.e_1 tptp.e_3))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46 _let_11))) (let ((_let_50 (_let_3))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (not (= (tptp.product W Y X) false)))) (let ((_let_53 (tptp.product tptp.e_2 tptp.e_1 tptp.e_4))) (let ((_let_54 (tptp.product tptp.e_2 tptp.e_1 tptp.e_2))) (let ((_let_55 (tptp.product tptp.e_2 tptp.e_1 tptp.e_1))) (let ((_let_56 (not _let_22))) (let ((_let_57 (or _let_56 _let_41 _let_55 _let_54 _let_47 _let_53))) (let ((_let_58 (not _let_25))) (let ((_let_59 (not _let_26))) (let ((_let_60 (not _let_53))) (let ((_let_61 (or _let_60 _let_59 _let_58))) (let ((_let_62 (_let_24))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (not _let_54))) (let ((_let_65 (tptp.product tptp.e_2 tptp.e_2 tptp.e_2))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64 _let_15))) (let ((_let_68 (not (= (tptp.equalish W Z) true)))) (let ((_let_69 ((not (= (tptp.product X W Y) false)) _let_68))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_36 :args (_let_65 false _let_2)))) (let ((_let_71 (ASSUME :args (_let_16)))) (let ((_let_72 (not _let_55))) (let ((_let_73 (tptp.product tptp.e_1 tptp.e_1 tptp.e_1))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72 _let_19))) (let ((_let_76 (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.e_1 QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_36 :args (_let_73 false _let_2)))) (let ((_let_78 (ASSUME :args (_let_20)))) (let ((_let_79 (ASSUME :args (_let_22)))) (let ((_let_80 (ASSUME :args (_let_23)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_41 _let_56 _let_55 _let_54 _let_47 _let_53 (not _let_57)))) _let_80 _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_19 _let_74 _let_72 (not _let_75)))) _let_78 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args _let_76) :args _let_50)) _let_51 :args (_let_75 false _let_3)) :args (_let_72 true _let_19 false _let_73 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_15 _let_66 _let_64 (not _let_67)))) _let_71 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_32)) _let_33 :args (_let_67 false _let_4)) :args (_let_64 true _let_15 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_59 _let_58 _let_60 (not _let_61)))) (ASSUME :args (_let_26)) (ASSUME :args (_let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.e_2 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X tptp.e_1 Y) false)) (not (= (tptp.next X X1) false))))) :args _let_62)) _let_63 :args (_let_61 false _let_24)) :args (_let_60 false _let_26 false _let_25 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y tptp.e_1) true))))) :args _let_44)) _let_45 :args (_let_57 false _let_6)) :args (_let_47 false _let_23 false _let_22 true _let_55 true _let_54 true _let_53 false _let_57)))) (let ((_let_82 (not _let_39))) (let ((_let_83 (tptp.product tptp.e_4 tptp.e_3 tptp.e_2))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82 _let_9))) (let ((_let_86 (tptp.product tptp.e_1 tptp.e_2 tptp.e_4))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_48 _let_83))) (let ((_let_89 (_let_1))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 ((not (= (tptp.product X Y Z1) false)) (not (= (tptp.product Y X Z2) false))))) (let ((_let_92 (tptp.product tptp.e_1 tptp.e_2 tptp.e_3))) (let ((_let_93 (tptp.product tptp.e_1 tptp.e_2 tptp.e_2))) (let ((_let_94 (tptp.product tptp.e_1 tptp.e_2 tptp.e_1))) (let ((_let_95 (or _let_41 _let_56 _let_94 _let_93 _let_92 _let_86))) (let ((_let_96 (tptp.product tptp.e_3 tptp.e_3 tptp.e_2))) (let ((_let_97 (not _let_92))) (let ((_let_98 (or _let_97 _let_48 _let_96))) (let ((_let_99 (tptp.product tptp.e_3 tptp.e_3 tptp.e_3))) (let ((_let_100 (not _let_99))) (let ((_let_101 (not _let_96))) (let ((_let_102 (or _let_101 _let_100 _let_13))) (let ((_let_103 (_let_5))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 (not _let_93))) (let ((_let_106 (or _let_66 _let_105 _let_15))) (let ((_let_107 (_let_52 (not (= (tptp.product Z Y X) false))))) (let ((_let_108 (not _let_94))) (let ((_let_109 (or _let_74 _let_108 _let_19))) (let ((_let_110 (not _let_40))) (let ((_let_111 (or _let_74 _let_110 _let_17))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_7 _let_28 _let_30 _let_34))) (ASSUME :args (_let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_41 _let_42 _let_40 _let_39 _let_38 _let_27 (not _let_43)))) _let_80 (ASSUME :args (_let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_17 _let_74 _let_110 (not _let_111)))) (ASSUME :args (_let_18)) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_50)) _let_51 :args (_let_111 false _let_3)) :args (_let_110 true _let_17 false _let_73 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_9 _let_82 _let_84 (not _let_85)))) (ASSUME :args (_let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_48 _let_83 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_41 _let_56 _let_94 _let_93 _let_92 _let_86 (not _let_95)))) _let_80 _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_19 _let_74 _let_108 (not _let_109)))) _let_78 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args _let_76) :args _let_32)) _let_33 :args (_let_109 false _let_4)) :args (_let_108 true _let_19 false _let_73 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_15 _let_105 _let_66 (not _let_106)))) _let_71 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_50)) _let_51 :args (_let_106 false _let_3)) :args (_let_105 true _let_15 false _let_65 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_97 _let_48 _let_96 (not _let_98)))) _let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_13 _let_101 _let_100 (not _let_102)))) (ASSUME :args (_let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.e_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_99 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.e_3 tptp.e_3 tptp.e_2 tptp.e_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y Z) false)) (not (= (tptp.equalish W Z) true))))) :args _let_103)) _let_104 :args (_let_102 false _let_5)) :args (_let_101 true _let_13 false _let_99 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89)) _let_90 :args (_let_98 false _let_1)) :args (_let_97 false _let_47 true _let_96 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_1 tptp.e_2 QUANTIFIERS_INST_ENUM)) :args _let_44)) _let_45 :args (_let_95 false _let_6)) :args (_let_86 false _let_23 false _let_22 true _let_94 true _let_93 true _let_92 false _let_95)) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.e_1 tptp.e_2 tptp.e_4 tptp.e_3 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89)) _let_90 :args (_let_88 false _let_1)) :args (_let_83 false _let_86 false _let_47 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.e_4 tptp.e_3 tptp.e_2 tptp.e_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Z Y) false)) _let_68))) :args _let_32)) _let_33 :args (_let_85 false _let_4)) :args (_let_82 true _let_9 false _let_83 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_11 _let_48 _let_46 (not _let_49)))) (ASSUME :args (_let_12)) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.equalish W Z) true)) _let_52))) :args _let_50)) _let_51 :args (_let_49 false _let_3)) :args (_let_46 true _let_11 false _let_47 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.e_4 tptp.e_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.group_element X) false)) (not (= (tptp.group_element Y) false))))) :args _let_44)) _let_45 :args (_let_43 false _let_6)) :args (_let_27 false _let_23 false _let_21 true _let_40 true _let_39 true _let_38 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.e_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_29 false _let_2)) :args (_let_34 true _let_7 false _let_27 false _let_29)) _let_33 :args (false true _let_31 false _let_4)) :args ((tptp.next tptp.e_1 tptp.e_2) _let_26 (tptp.next tptp.e_3 tptp.e_4) (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) _let_25 _let_24 _let_23 _let_22 (tptp.group_element tptp.e_3) _let_21 _let_20 (not (tptp.equalish tptp.e_1 tptp.e_3)) _let_18 _let_16 _let_14 _let_12 _let_10 (not (tptp.equalish tptp.e_3 tptp.e_2)) (not (tptp.equalish tptp.e_3 tptp.e_4)) _let_8 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.61 )
% 0.18/0.62 % SZS output end Proof for GRP126-2.004
% 0.18/0.62 % cvc5---1.0.5 exiting
% 0.18/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------