TSTP Solution File: GRP039-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP039-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 00:24:08 EDT 2023
% Result : Unsatisfiable 23.80s 24.11s
% Output : Proof 23.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP039-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 22:30:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.KzbKFRr03d/cvc5---1.0.5_29663.p...
% 0.20/0.50 ------- get file name : TPTP file name is GRP039-3
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29663.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.26/10.53 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.29/15.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.36/20.56 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 23.80/24.11 % SZS status Unsatisfiable for GRP039-3
% 23.80/24.11 % SZS output start Proof for GRP039-3
% 23.80/24.11 (
% 23.80/24.11 (let ((_let_1 (tptp.subgroup_member tptp.d))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.a tptp.c tptp.d))) (let ((_let_4 (tptp.inverse tptp.a))) (let ((_let_5 (tptp.product tptp.b _let_4 tptp.c))) (let ((_let_6 (tptp.subgroup_member tptp.b))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.product A (tptp.element_in_O2 A B) B) (tptp.subgroup_member B) (tptp.subgroup_member A))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.subgroup_member (tptp.element_in_O2 A B)) (tptp.subgroup_member B) (tptp.subgroup_member A))))) (let ((_let_9 (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.subgroup_member (tptp.inverse A)))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.inverse (tptp.inverse A)) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.product A B C)) (not (tptp.product A D C)) (= D B))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subgroup_member A)) (not (tptp.subgroup_member B)) (not (tptp.product A (tptp.inverse B) C)) (tptp.subgroup_member C))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))))) (let ((_let_15 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.identity)))) (let ((_let_16 (forall ((X $$unsorted)) (tptp.product X tptp.identity X)))) (let ((_let_17 (forall ((X $$unsorted)) (tptp.product tptp.identity X X)))) (let ((_let_18 (tptp.inverse tptp.b))) (let ((_let_19 (tptp.inverse _let_18))) (let ((_let_20 (= tptp.b _let_19))) (let ((_let_21 (tptp.inverse tptp.c))) (let ((_let_22 (tptp.product _let_21 tptp.b tptp.a))) (let ((_let_23 (tptp.product _let_21 _let_19 tptp.a))) (let ((_let_24 (forall ((A $$unsorted)) (= A (tptp.inverse (tptp.inverse A)))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_24))) (let ((_let_27 (tptp.b QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_28 (tptp.product tptp.identity tptp.a tptp.a))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.product tptp.c tptp.a tptp.b))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.product _let_21 tptp.c tptp.identity))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_29 _let_22))) (let ((_let_35 (_let_14))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_15))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (tptp.c QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_40 (tptp.product tptp.b tptp.identity tptp.b))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.product _let_4 tptp.a tptp.identity))) (let ((_let_43 (not _let_42))) (let ((_let_44 (not _let_5))) (let ((_let_45 (or _let_44 _let_43 _let_41 _let_30))) (let ((_let_46 (_let_13))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (_let_16))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (ASSUME :args (_let_5)))) (let ((_let_51 (tptp.element_in_O2 tptp.d tptp.a))) (let ((_let_52 (tptp.product tptp.d _let_51 tptp.a))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.product tptp.identity tptp.d tptp.d))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53 _let_53 _let_28))) (let ((_let_57 (tptp.subgroup_member tptp.a))) (let ((_let_58 (or _let_52 _let_57 _let_1))) (let ((_let_59 (_let_7))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (tptp.inverse _let_21))) (let ((_let_62 (tptp.product tptp.a _let_61 tptp.d))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.subgroup_member _let_21))) (let ((_let_65 (not _let_64))) (let ((_let_66 (not _let_57))) (let ((_let_67 (or _let_66 _let_65 _let_63 _let_1))) (let ((_let_68 (_let_12))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (= tptp.c _let_61))) (let ((_let_71 (ASSUME :args (_let_3)))) (let ((_let_72 (and _let_3 _let_70))) (let ((_let_73 (_let_3 _let_70))) (let ((_let_74 (APPLY_UF tptp.product))) (let ((_let_75 (ASSUME :args (_let_70)))) (let ((_let_76 (REFL :args (tptp.a)))) (let ((_let_77 (tptp.subgroup_member tptp.c))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_64))) (let ((_let_80 (_let_9))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (not _let_6))) (let ((_let_83 (or _let_82 _let_66 _let_44 _let_77))) (let ((_let_84 (tptp.element_in_O2 tptp.a tptp.d))) (let ((_let_85 (= tptp.c _let_84))) (let ((_let_86 (tptp.product tptp.a _let_84 tptp.d))) (let ((_let_87 (or _let_86 _let_1 _let_57))) (let ((_let_88 (not _let_86))) (let ((_let_89 (not _let_3))) (let ((_let_90 (or _let_89 _let_88 _let_85))) (let ((_let_91 (ASSUME :args (_let_6)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.b tptp.a tptp.c QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_68)) _let_69 :args (_let_83 false _let_12)))) (let ((_let_93 (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_44 _let_66 _let_77 (not _let_83)))))) (let ((_let_94 (tptp.subgroup_member _let_84))) (let ((_let_95 (or _let_94 _let_1 _let_57))) (let ((_let_96 (not _let_85))) (let ((_let_97 (ASSUME :args (_let_2)))) (let ((_let_98 (_let_8))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (tptp.a tptp.d QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_101 (or))) (let ((_let_102 (and _let_85 _let_78))) (let ((_let_103 (ASSUME :args (_let_78)))) (let ((_let_104 (ASSUME :args (_let_85)))) (let ((_let_105 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.product A B C)) (not (tptp.product A D C)) (= B D))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_64 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_88 _let_85 (not _let_90)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.a tptp.c tptp.d _let_84 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_105))) _let_106 :args (_let_90 false _let_105)) _let_71 (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_1 _let_57 _let_86 (not _let_87)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args _let_100) :args _let_59)) _let_60 :args (_let_87 false _let_7)) _let_97 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_102)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_103 _let_104) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_104) :args (APPLY_UF tptp.subgroup_member)) (FALSE_INTRO _let_103))) :args (_let_78 _let_85))) :args (_let_85 _let_78))) :args (true _let_102)) (CONG (REFL :args (_let_96)) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) (REFL :args ((not _let_94))) :args _let_101)) (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_1 _let_57 _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args _let_100) :args _let_98)) _let_99 :args (_let_95 false _let_8)) _let_97 _let_93 _let_92 _let_50 _let_91 :args ((or _let_96 _let_77) false _let_94 false _let_95 true _let_1 true _let_57 false _let_83 false _let_5 false _let_6)) _let_93 _let_92 _let_50 _let_91 :args (_let_77 false _let_90 false _let_3 false _let_86 false _let_87 true _let_1 true _let_85 true _let_57 false _let_83 false _let_5 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args _let_39) :args _let_80)) _let_81 :args (_let_79 false _let_9)) :args (_let_64 false _let_77 false _let_79)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_1 _let_66 _let_65 _let_63 (not _let_67)))) _let_97 _let_107 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG _let_76 (SYMM _let_75) (REFL :args (tptp.d)) :args _let_74) (TRUE_INTRO _let_71))) :args _let_73)) :args _let_73)) :args (true _let_72)) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_39) :args _let_26)) _let_25 :args (_let_70 false _let_24)) :args (_let_62 false _let_3 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.a _let_21 tptp.d QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_68)) _let_69 :args (_let_67 false _let_12)) :args (_let_66 true _let_1 false _let_64 false _let_62 false _let_67)))) (let ((_let_109 (_let_17))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (not _let_23))) (let ((_let_112 (tptp.subgroup_member _let_18))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_65 _let_113 _let_111 _let_57))) (let ((_let_115 (or _let_82 _let_112))) (let ((_let_116 (ASSUME :args (_let_111)))) (let ((_let_117 (ASSUME :args (_let_20)))) (let ((_let_118 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_116 _let_117 _let_118) :args (_let_20 _let_22 _let_111)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_118)) (CONG (REFL :args (_let_21)) (SYMM (SYMM _let_117)) _let_76 :args _let_74) (FALSE_INTRO _let_116))) :args (_let_111 _let_20 _let_22)) :args ((not (and _let_20 _let_22 _let_111)) SB_LITERAL))) (CONG (REFL :args ((not _let_20))) (REFL :args ((not _let_22))) (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_23))) :args _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_57 _let_113 _let_65 _let_111 (not _let_114)))) _let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_82 _let_112 (not _let_115)))) _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.b QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_80)) _let_81 :args (_let_115 false _let_9)) :args (_let_112 false _let_6 false _let_115)) _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_21 _let_18 tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_68)) _let_69 :args (_let_114 false _let_12)) :args (_let_111 true _let_57 false _let_112 false _let_64 false _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_29 _let_31 _let_33 _let_22 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_56))) :args ((or _let_28 _let_55 _let_53 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.d QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_109)) _let_110 :args (_let_54 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_1 _let_57 _let_52 (not _let_58)))) _let_97 _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.d tptp.a QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_59)) _let_60 :args (_let_58 false _let_7)) :args (_let_52 true _let_1 true _let_57 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.identity tptp.d tptp.d _let_51 tptp.a tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_35)) _let_36 :args (_let_56 false _let_14)) :args (_let_28 false _let_54 false _let_52 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_43 _let_41 _let_30 (not _let_45)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.a QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_37)) _let_38 :args (_let_42 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_27) :args _let_48)) _let_49 :args (_let_40 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.b _let_4 tptp.c tptp.a tptp.identity tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_47 :args (_let_45 false _let_13)) :args (_let_30 false _let_5 false _let_42 false _let_40 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_39) :args _let_37)) _let_38 :args (_let_32 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_21 tptp.c tptp.identity tptp.a tptp.b tptp.a QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_35)) _let_36 :args (_let_34 false _let_14)) :args (_let_22 false _let_28 false _let_30 false _let_32 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_27) :args _let_26)) _let_25 :args (_let_20 false _let_24)) :args (false true _let_23 false _let_22 false _let_20)) :args (_let_17 _let_16 _let_15 (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.identity)) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y Z)) (not (tptp.product X Y W)) (= Z W))) _let_14 _let_13 _let_12 _let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.product A B C)) (not (tptp.product D B C)) (= D A))) _let_10 (tptp.subgroup_member tptp.identity) _let_9 _let_8 _let_7 _let_6 _let_5 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 23.80/24.11 )
% 23.93/24.13 % SZS output end Proof for GRP039-3
% 23.93/24.13 % cvc5---1.0.5 exiting
% 23.93/24.13 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------