TSTP Solution File: GRP039-5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP039-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 00:24:09 EDT 2023
% Result : Unsatisfiable 12.22s 12.44s
% Output : Proof 12.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP039-5 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:09:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.siaALq1XB9/cvc5---1.0.5_24270.p...
% 0.20/0.48 ------- get file name : TPTP file name is GRP039-5
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24270.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.67/10.88 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.22/12.44 % SZS status Unsatisfiable for GRP039-5
% 12.22/12.44 % SZS output start Proof for GRP039-5
% 12.22/12.45 (
% 12.22/12.45 (let ((_let_1 (not (tptp.subgroup_member tptp.d)))) (let ((_let_2 (tptp.multiply tptp.a tptp.c))) (let ((_let_3 (= _let_2 tptp.d))) (let ((_let_4 (tptp.inverse tptp.a))) (let ((_let_5 (tptp.multiply tptp.b _let_4))) (let ((_let_6 (= _let_5 tptp.c))) (let ((_let_7 (tptp.subgroup_member tptp.b))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.subgroup_member X) (tptp.subgroup_member Y) (= (tptp.multiply X (tptp.element_in_O2 X Y)) Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.subgroup_member X) (tptp.subgroup_member Y) (tptp.subgroup_member (tptp.element_in_O2 X Y)))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.identity)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.identity) X)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.subgroup_member X)) (not (tptp.subgroup_member Y)) (not (= (tptp.multiply X Y) Z)) (tptp.subgroup_member Z))))) (let ((_let_13 (forall ((X $$unsorted)) (or (not (tptp.subgroup_member X)) (tptp.subgroup_member (tptp.inverse X)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_17 (tptp.subgroup_member (tptp.multiply tptp.a _let_5)))) (let ((_let_18 (tptp.multiply tptp.a _let_4))) (let ((_let_19 (= tptp.identity _let_18))) (let ((_let_20 (tptp.element_in_O2 _let_4 _let_5))) (let ((_let_21 (tptp.subgroup_member _let_20))) (let ((_let_22 (tptp.multiply _let_4 _let_20))) (let ((_let_23 (= _let_5 _let_22))) (let ((_let_24 (= _let_20 (tptp.multiply tptp.identity _let_20)))) (let ((_let_25 (= (tptp.multiply _let_18 _let_20) (tptp.multiply tptp.a _let_22)))) (let ((_let_26 (SYMM (ASSUME :args (_let_6))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO (AND_INTRO (EQ_RESOLVE (SYMM (ASSUME :args (_let_3))) (MACRO_SR_EQ_INTRO _let_26 :args ((= tptp.d _let_2) SB_DEFAULT SBA_FIXPOINT))) _let_26) :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply X (tptp.inverse X)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_31 (tptp.subgroup_member _let_5))) (let ((_let_32 (tptp.subgroup_member _let_4))) (let ((_let_33 (or _let_32 _let_31 _let_21))) (let ((_let_34 (_let_9))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (_let_4 _let_5 QUANTIFIERS_INST_ENUM))) (let ((_let_37 (tptp.inverse tptp.b))) (let ((_let_38 (tptp.multiply _let_37 _let_5))) (let ((_let_39 (tptp.subgroup_member _let_38))) (let ((_let_40 (not _let_31))) (let ((_let_41 (tptp.subgroup_member _let_37))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_39))) (let ((_let_44 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.subgroup_member X)) (not (tptp.subgroup_member Y)) (tptp.subgroup_member (tptp.multiply X Y)))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (tptp.multiply _let_37 tptp.b))) (let ((_let_48 (= _let_38 (tptp.multiply _let_47 _let_4)))) (let ((_let_49 (= _let_4 (tptp.multiply tptp.identity _let_4)))) (let ((_let_50 (= tptp.identity _let_47))) (let ((_let_51 (not _let_39))) (let ((_let_52 (_let_14))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 (_let_4 QUANTIFIERS_INST_ENUM))) (let ((_let_58 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_58))) (let ((_let_61 (tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_62 (tptp.inverse _let_4))) (let ((_let_63 (tptp.subgroup_member _let_62))) (let ((_let_64 (not _let_32))) (let ((_let_65 (or _let_64 _let_63))) (let ((_let_66 (_let_13))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (tptp.multiply _let_4 tptp.a))) (let ((_let_69 (tptp.multiply _let_62 _let_4))) (let ((_let_70 (= (tptp.multiply _let_69 tptp.a) (tptp.multiply _let_62 _let_68)))) (let ((_let_71 (= _let_62 (tptp.multiply _let_62 tptp.identity)))) (let ((_let_72 (= tptp.identity _let_69))) (let ((_let_73 (= tptp.identity _let_68))) (let ((_let_74 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_75 (tptp.subgroup_member tptp.a))) (let ((_let_76 (not _let_63))) (let ((_let_77 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.identity))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (not _let_75))) (let ((_let_80 (or _let_79 _let_40 _let_17))) (let ((_let_81 (or _let_79 _let_32))) (let ((_let_82 (not _let_7))) (let ((_let_83 (or _let_82 _let_64 _let_31))) (let ((_let_84 (ASSUME :args (_let_7)))) (let ((_let_85 (not _let_70))) (let ((_let_86 (not _let_71))) (let ((_let_87 (not _let_72))) (let ((_let_88 (not _let_73))) (let ((_let_89 (not _let_74))) (let ((_let_90 (or))) (let ((_let_91 (and _let_79 _let_74 _let_73 _let_72 _let_71 _let_70))) (let ((_let_92 (ASSUME :args (_let_79)))) (let ((_let_93 (APPLY_UF tptp.subgroup_member))) (let ((_let_94 (ASSUME :args (_let_74)))) (let ((_let_95 (APPLY_UF tptp.multiply))) (let ((_let_96 (REFL :args (tptp.a)))) (let ((_let_97 (ASSUME :args (_let_72)))) (let ((_let_98 (ASSUME :args (_let_70)))) (let ((_let_99 (ASSUME :args (_let_73)))) (let ((_let_100 (ASSUME :args (_let_71)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_63 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_91)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_92 _let_94 _let_97 _let_98 _let_99 _let_100) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_100)) (CONG (REFL :args (_let_62)) (SYMM (SYMM _let_99)) :args _let_95) (SYMM _let_98) (CONG (SYMM _let_97) _let_96 :args _let_95) (SYMM _let_94)) :args _let_93) (FALSE_INTRO _let_92))) :args (_let_79 _let_74 _let_72 _let_70 _let_73 _let_71))) :args (_let_79 _let_74 _let_73 _let_72 _let_71 _let_70))) :args (true _let_91)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_75))) (REFL :args (_let_89)) (REFL :args (_let_88)) (REFL :args (_let_87)) (REFL :args (_let_86)) (REFL :args (_let_85)) (REFL :args (_let_76)) :args _let_90)) :args ((or _let_75 _let_89 _let_88 _let_76 _let_87 _let_86 _let_85))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_64 _let_31 (not _let_83)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.b _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_45 :args (_let_83 false _let_44)) _let_84 (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_79 _let_32 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_66)) _let_67 :args (_let_81 false _let_13)) (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_17 _let_79 _let_40 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.a _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_45 :args (_let_80 false _let_44)) _let_27 :args (_let_79 false _let_83 false _let_7 false _let_32 false _let_81 true _let_31 false _let_80 true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args _let_30) :args _let_56)) _let_55 :args (_let_74 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_30) :args _let_60)) _let_59 :args (_let_73 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_57) :args _let_60)) _let_59 :args (_let_72 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_62 QUANTIFIERS_INST_ENUM)) :args (_let_77))) _let_78 :args (_let_71 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_62 _let_4 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_52)) _let_53 :args (_let_70 false _let_14)) :args (_let_76 true _let_75 false _let_74 false _let_73 false _let_72 false _let_71 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args _let_57) :args _let_66)) _let_67 :args (_let_65 false _let_13)) :args (_let_64 true _let_63 false _let_65)))) (let ((_let_102 (not _let_48))) (let ((_let_103 (not _let_49))) (let ((_let_104 (not _let_50))) (let ((_let_105 (and _let_50 _let_64 _let_49 _let_48))) (let ((_let_106 (ASSUME :args (_let_64)))) (let ((_let_107 (ASSUME :args (_let_49)))) (let ((_let_108 (ASSUME :args (_let_50)))) (let ((_let_109 (ASSUME :args (_let_48)))) (let ((_let_110 (or _let_82 _let_41))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_40 _let_39 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_82 _let_41 (not _let_110)))) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args _let_61) :args _let_66)) _let_67 :args (_let_110 false _let_13)) :args (_let_41 false _let_7 false _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_105)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_106 _let_107 _let_108 _let_109) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_109)) (CONG (SYMM _let_108) (REFL :args (_let_4)) :args _let_95) (SYMM _let_107)) :args _let_93) (FALSE_INTRO _let_106))) :args (_let_64 _let_49 _let_50 _let_48))) :args (_let_50 _let_64 _let_49 _let_48))) :args (true _let_105)) (CONG (REFL :args (_let_104)) (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_32))) (REFL :args (_let_103)) (REFL :args (_let_102)) (REFL :args (_let_51)) :args _let_90)) :args ((or _let_32 _let_104 _let_103 _let_51 _let_102))) _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_61) :args _let_60)) _let_59 :args (_let_50 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args _let_57) :args _let_56)) _let_55 :args (_let_49 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_37 tptp.b _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_52))) _let_53 :args (_let_48 false _let_14)) :args (_let_51 true _let_32 false _let_50 false _let_49 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_37 _let_5 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_45 :args (_let_43 false _let_44)) :args (_let_40 false _let_41 true _let_39 false _let_43)))) (let ((_let_112 (or _let_32 _let_31 _let_23))) (let ((_let_113 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.subgroup_member X) (tptp.subgroup_member Y) (= Y (tptp.multiply X (tptp.element_in_O2 X Y))))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (not _let_17))) (let ((_let_116 (ASSUME :args (_let_23)))) (let ((_let_117 (ASSUME :args (_let_25)))) (let ((_let_118 (ASSUME :args (_let_19)))) (let ((_let_119 (ASSUME :args (_let_24)))) (let ((_let_120 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_27 _let_116 _let_117 _let_118 _let_119 _let_120) :args (_let_115 _let_19 _let_21 _let_23 _let_24 _let_25)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_120)) (CONG (TRANS (SYMM (SYMM _let_119)) (CONG (SYMM (SYMM _let_118)) (REFL :args (_let_20)) :args _let_95) (SYMM (SYMM _let_117)) (CONG _let_96 (SYMM _let_116) :args _let_95)) :args _let_93) (FALSE_INTRO _let_27))) :args (_let_115 _let_23 _let_25 _let_19 _let_24 _let_21)) :args ((not (and _let_115 _let_19 _let_21 _let_23 _let_24 _let_25)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_17))) (REFL :args ((not _let_19))) (REFL :args ((not _let_21))) (REFL :args ((not _let_23))) (REFL :args ((not _let_24))) (REFL :args ((not _let_25))) :args _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.a _let_4 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_52)) _let_53 :args (_let_25 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_20 QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_55 :args (_let_24 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_32 _let_31 _let_23 (not _let_112)))) _let_101 _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args _let_36) :args (_let_113))) _let_114 :args (_let_112 false _let_113)) :args (_let_23 true _let_32 true _let_31 false _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_31 _let_21 (not _let_33)))) _let_101 _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args _let_36) :args _let_34)) _let_35 :args (_let_33 false _let_9)) :args (_let_21 true _let_32 true _let_31 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_30) :args (_let_28))) _let_29 :args (_let_19 false _let_28)) _let_27 :args (false false _let_25 false _let_24 false _let_23 false _let_21 false _let_19 true _let_17)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 (tptp.subgroup_member tptp.identity) _let_9 _let_8 _let_7 _let_6 _let_3 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.22/12.45 )
% 12.22/12.45 % SZS output end Proof for GRP039-5
% 12.22/12.45 % cvc5---1.0.5 exiting
% 12.22/12.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------