%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP039-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 51.88s 52.14s
% Output   : Proof 51.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.14/0.31  % Computer : n026.cluster.edu
% 0.14/0.31  % Model    : x86_64 x86_64
% 0.14/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.31  % Memory   : 8042.1875MB
% 0.14/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.31  % CPULimit   : 300
% 0.14/0.31  % WCLimit    : 300
% 0.14/0.31  % DateTime   : Mon Aug 28 21:37:35 EDT 2023
% 0.14/0.32  % CPUTime    : 
% 0.18/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.46  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JBgMiwMMCm/cvc5---1.0.5_27792.p...
% 0.18/0.46  ------- get file name : TPTP file name is GRP039-1
% 0.18/0.47  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27792.smt2...
% 0.18/0.47  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.31/10.49  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.18/15.51  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.35/20.53  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.55/25.91  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.69/30.92  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.74/35.94  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.78/40.96  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.02/46.22  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.98/51.24  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 51.88/52.14  % SZS status Unsatisfiable for GRP039-1
% 51.88/52.14  % SZS output start Proof for GRP039-1
% 51.88/52.15  (
% 51.88/52.15  (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 $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subgroup_member A)) (not (tptp.subgroup_member B)) (not (tptp.product A B C)) (tptp.subgroup_member C))))) (let ((_let_10 (forall ((X $$unsorted)) (or (not (tptp.subgroup_member X)) (tptp.subgroup_member (tptp.inverse X)))))) (let ((_let_11 (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_12 (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_13 (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 ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))))) (let ((_let_15 (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.identity)))) (let ((_let_16 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.identity)))) (let ((_let_17 (forall ((X $$unsorted)) (tptp.product X tptp.identity X)))) (let ((_let_18 (forall ((X $$unsorted)) (tptp.product tptp.identity X X)))) (let ((_let_19 (tptp.subgroup_member tptp.c))) (let ((_let_20 (not _let_5))) (let ((_let_21 (tptp.subgroup_member _let_4))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_6))) (let ((_let_24 (or _let_23 _let_22 _let_20 _let_19))) (let ((_let_25 (ASSUME :args (_let_6)))) (let ((_let_26 (ASSUME :args (_let_5)))) (let ((_let_27 (_let_9))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((not (= (tptp.product A B C) false))))) (let ((_let_30 (tptp.subgroup_member tptp.a))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_21))) (let ((_let_33 (_let_10))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((tptp.inverse X)))) (let ((_let_36 (tptp.element_in_O2 tptp.a tptp.d))) (let ((_let_37 (tptp.product tptp.a _let_36 tptp.d))) (let ((_let_38 (or _let_37 _let_1 _let_30))) (let ((_let_39 (tptp.subgroup_member _let_36))) (let ((_let_40 (or _let_39 _let_1 _let_30))) (let ((_let_41 (tptp.inverse tptp.c))) (let ((_let_42 (tptp.product _let_41 tptp.b tptp.a))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.subgroup_member _let_41))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_23 _let_43 _let_30))) (let ((_let_47 (tptp.product _let_4 tptp.a tptp.identity))) (let ((_let_48 (tptp.product _let_4 tptp.d tptp.c))) (let ((_let_49 (tptp.product tptp.identity _let_36 tptp.c))) (let ((_let_50 (not _let_48))) (let ((_let_51 (not _let_37))) (let ((_let_52 (not _let_47))) (let ((_let_53 (or _let_52 _let_51 _let_50 _let_49))) (let ((_let_54 (not _let_19))) (let ((_let_55 (or _let_54 _let_44))) (let ((_let_56 (tptp.subgroup_member tptp.identity))) (let ((_let_57 (not _let_49))) (let ((_let_58 (not _let_39))) (let ((_let_59 (not _let_56))) (let ((_let_60 (or _let_59 _let_58 _let_57 _let_19))) (let ((_let_61 (ASSUME :args (_let_2)))) (let ((_let_62 (_let_7))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (_let_8))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (tptp.product tptp.identity tptp.a tptp.a))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.product tptp.c tptp.a tptp.b))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.product _let_41 tptp.c tptp.identity))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69 _let_67 _let_42))) (let ((_let_73 (_let_12))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((not (= (tptp.product X Y U) false)) (not (= (tptp.product Y Z V) false)) (not (= (tptp.product U Z W) false))))) (let ((_let_76 (_let_16))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (_let_18))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (tptp.product tptp.b tptp.identity tptp.b))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_20 _let_52 _let_81 _let_68))) (let ((_let_83 (_let_11))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((not (= (tptp.product X Y U) false)) (not (= (tptp.product Y Z V) false)) (not (= (tptp.product X V W) false))))) (let ((_let_86 (_let_17))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args _let_76)) _let_77 :args (_let_47 false _let_16)))) (let ((_let_90 (tptp.product tptp.identity tptp.c tptp.c))) (let ((_let_91 (not _let_90))) (let ((_let_92 (not _let_3))) (let ((_let_93 (or _let_52 _let_92 _let_91 _let_48))) (let ((_let_94 (tptp.multiply tptp.identity tptp.b))) (let ((_let_95 (tptp.product _let_94 _let_4 tptp.c))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.product tptp.identity tptp.b _let_94))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_20 _let_96 _let_90))) (let ((_let_100 (= tptp.b _let_94))) (let ((_let_101 (tptp.product tptp.identity tptp.b tptp.b))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_98 _let_100))) (let ((_let_104 (_let_13))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (_let_14))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.identity tptp.b QUANTIFIERS_INST_ENUM)) :args _let_106)) _let_107 :args (_let_97 false _let_14)))) (let ((_let_109 (and _let_5 _let_100))) (let ((_let_110 (_let_5 _let_100))) (let ((_let_111 (ASSUME :args (_let_100)))) (let ((_let_112 (ASSUME :args (_let_3)))) (let ((_let_113 (tptp.inverse tptp.b))) (let ((_let_114 (tptp.product tptp.b _let_113 tptp.identity))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.subgroup_member _let_113))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_23 _let_117 _let_115 _let_56))) (let ((_let_119 (or _let_23 _let_116))) (let ((_let_120 (_let_15))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_19 _let_59 _let_58 _let_57 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.identity _let_36 tptp.c QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_27)) _let_28 :args (_let_60 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_23 _let_56 _let_115 _let_117 (not _let_118)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_88) :args _let_120)) _let_121 :args (_let_114 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_23 _let_116 (not _let_119)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_88) :args _let_33)) _let_34 :args (_let_119 false _let_10)) :args (_let_116 false _let_6 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.b _let_113 tptp.identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_27)) _let_28 :args (_let_118 false _let_9)) :args (_let_56 false _let_6 false _let_114 false _let_116 false _let_118)) (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_44 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_55 false _let_10)) (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_51 _let_50 _let_49 (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_4 tptp.a tptp.identity _let_36 tptp.d tptp.c QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_53 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_52 _let_91 _let_48 (not _let_93)))) _let_112 _let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_20 _let_98 _let_96 _let_90 (not _let_99)))) _let_26 _let_108 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_109)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_26 _let_111) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_111) (REFL :args (_let_4)) (REFL :args (tptp.c)) :args (APPLY_UF tptp.product)) (TRUE_INTRO _let_26))) :args _let_110)) :args _let_110)) :args (true _let_109)) _let_26 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_102 _let_98 _let_100 (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args _let_88) :args _let_78)) _let_79 :args (_let_101 false _let_18)) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.identity tptp.b tptp.b _let_94 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_103 false _let_13)) :args (_let_100 false _let_101 false _let_97 false _let_103)) :args (_let_95 false _let_5 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.identity tptp.b _let_94 _let_4 tptp.c tptp.c QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_73)) _let_74 :args (_let_99 false _let_12)) :args (_let_90 false _let_5 false _let_97 false _let_95 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_4 tptp.a tptp.identity tptp.c tptp.d tptp.c QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_73)) _let_74 :args (_let_93 false _let_12)) :args (_let_48 false _let_3 false _let_47 false _let_90 false _let_93)) _let_89 (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_23 _let_30 _let_45 _let_43 (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_41 tptp.b tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_27)) _let_28 :args (_let_46 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_69 _let_67 _let_71 _let_42 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_20 _let_52 _let_81 _let_68 (not _let_82)))) _let_26 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args _let_88) :args _let_86)) _let_87 :args (_let_80 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.b _let_4 tptp.c tptp.a tptp.identity tptp.b QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_82 false _let_11)) :args (_let_68 false _let_5 false _let_47 false _let_80 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_78)) _let_79 :args (_let_66 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.c QUANTIFIERS_INST_ENUM)) :args _let_76)) _let_77 :args (_let_70 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_41 tptp.c tptp.identity tptp.a tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_73)) _let_74 :args (_let_72 false _let_12)) :args (_let_42 false _let_68 false _let_66 false _let_70 false _let_72)) _let_25 (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_1 _let_30 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.a tptp.d QUANTIFIERS_INST_ENUM)) :args _let_64)) _let_65 :args (_let_40 false _let_8)) _let_61 (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_1 _let_30 _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.a tptp.d QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subgroup_member B) true)) (not (= (tptp.subgroup_member A) true))))) :args _let_62)) _let_63 :args (_let_38 false _let_7)) _let_61 :args (_let_30 false _let_60 false _let_56 true _let_19 false _let_55 false _let_49 false _let_53 false _let_48 false _let_47 true _let_44 false _let_46 false _let_42 false _let_6 false _let_39 false _let_40 true _let_1 false _let_37 false _let_38 true _let_1)))) (let ((_let_123 (or _let_31 _let_54 _let_92 _let_1))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_20 _let_22 _let_19 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_1 _let_92 _let_31 _let_54 (not _let_123)))) _let_61 _let_112 _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.a tptp.c tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_123 false _let_9)) :args (_let_54 true _let_1 false _let_3 false _let_30 false _let_123)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_21 (not _let_32)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_32 false _let_10)) :args (_let_21 false _let_30 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.b _let_4 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_24 false _let_9)) _let_26 _let_25 :args (false true _let_19 false _let_21 false _let_24 false _let_5 false _let_6)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 51.88/52.15  )
% 51.88/52.15  % SZS output end Proof for GRP039-1
% 51.88/52.15  % cvc5---1.0.5 exiting
% 51.88/52.15  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------