%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP039-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 12.42s 12.60s
% Output   : Proof 12.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP039-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 01:52:55 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.taPTRicK4z/cvc5---1.0.5_22865.p...
% 0.21/0.49  ------- get file name : TPTP file name is GRP039-2
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22865.smt2...
% 0.21/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.68/10.86  --- Run --no-e-matching --full-saturate-quant at 5...
% 12.42/12.60  % SZS status Unsatisfiable for GRP039-2
% 12.42/12.60  % SZS output start Proof for GRP039-2
% 12.42/12.60  (
% 12.42/12.60  (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 $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 (_let_4 QUANTIFIERS_INST_ENUM))) (let ((_let_58 (tptp.inverse _let_4))) (let ((_let_59 (tptp.subgroup_member _let_58))) (let ((_let_60 (not _let_32))) (let ((_let_61 (or _let_60 _let_59))) (let ((_let_62 (_let_13))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (tptp.multiply _let_4 tptp.a))) (let ((_let_65 (tptp.multiply _let_58 _let_4))) (let ((_let_66 (= (tptp.multiply _let_65 tptp.a) (tptp.multiply _let_58 _let_64)))) (let ((_let_67 (= _let_58 (tptp.multiply _let_58 tptp.identity)))) (let ((_let_68 (= tptp.identity _let_65))) (let ((_let_69 (= tptp.identity _let_64))) (let ((_let_70 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_71 (tptp.subgroup_member tptp.a))) (let ((_let_72 (not _let_59))) (let ((_let_73 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.identity))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 (not _let_71))) (let ((_let_79 (or _let_78 _let_32))) (let ((_let_80 (or _let_78 _let_40 _let_17))) (let ((_let_81 (not _let_7))) (let ((_let_82 (or _let_81 _let_60 _let_31))) (let ((_let_83 (ASSUME :args (_let_7)))) (let ((_let_84 (not _let_66))) (let ((_let_85 (not _let_67))) (let ((_let_86 (not _let_68))) (let ((_let_87 (not _let_69))) (let ((_let_88 (not _let_70))) (let ((_let_89 (or))) (let ((_let_90 (and _let_78 _let_70 _let_69 _let_68 _let_67 _let_66))) (let ((_let_91 (ASSUME :args (_let_78)))) (let ((_let_92 (APPLY_UF tptp.subgroup_member))) (let ((_let_93 (ASSUME :args (_let_70)))) (let ((_let_94 (APPLY_UF tptp.multiply))) (let ((_let_95 (REFL :args (tptp.a)))) (let ((_let_96 (ASSUME :args (_let_68)))) (let ((_let_97 (ASSUME :args (_let_66)))) (let ((_let_98 (ASSUME :args (_let_69)))) (let ((_let_99 (ASSUME :args (_let_67)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_59 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_93 _let_96 _let_97 _let_98 _let_99) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_99)) (CONG (REFL :args (_let_58)) (SYMM (SYMM _let_98)) :args _let_94) (SYMM _let_97) (CONG (SYMM _let_96) _let_95 :args _let_94) (SYMM _let_93)) :args _let_92) (FALSE_INTRO _let_91))) :args (_let_78 _let_70 _let_68 _let_66 _let_69 _let_67))) :args (_let_78 _let_70 _let_69 _let_68 _let_67 _let_66))) :args (true _let_90)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_71))) (REFL :args (_let_88)) (REFL :args (_let_87)) (REFL :args (_let_86)) (REFL :args (_let_85)) (REFL :args (_let_84)) (REFL :args (_let_72)) :args _let_89)) :args ((or _let_71 _let_88 _let_87 _let_86 _let_72 _let_85 _let_84))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_60 _let_31 (not _let_82)))) (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_82 false _let_44)) _let_83 (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_17 _let_78 _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 (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_32 (not _let_79)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_30) :args _let_62)) _let_63 :args (_let_79 false _let_13)) :args (_let_78 false _let_82 false _let_7 true _let_31 false _let_80 true _let_17 false _let_32 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args _let_30) :args _let_56)) _let_55 :args (_let_70 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_30) :args _let_77)) _let_76 :args (_let_69 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_57) :args _let_77)) _let_76 :args (_let_68 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_58 QUANTIFIERS_INST_ENUM)) :args (_let_73))) _let_74 :args (_let_67 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_58 _let_4 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_52)) _let_53 :args (_let_66 false _let_14)) :args (_let_72 true _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_57) :args _let_62)) _let_63 :args (_let_61 false _let_13)) :args (_let_60 true _let_59 false _let_61)))) (let ((_let_101 (tptp.b QUANTIFIERS_INST_ENUM))) (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_60 _let_49 _let_48))) (let ((_let_106 (ASSUME :args (_let_60)))) (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_81 _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_81 _let_41 (not _let_110)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_101) :args _let_62)) _let_63 :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_94) (SYMM _let_107)) :args _let_92) (FALSE_INTRO _let_106))) :args (_let_60 _let_49 _let_50 _let_48))) :args (_let_50 _let_60 _let_49 _let_48))) :args (true _let_105)) (CONG (REFL :args (_let_104)) (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_32))) (REFL :args (_let_103)) (REFL :args (_let_102)) (REFL :args (_let_51)) :args _let_89)) :args ((or _let_104 _let_32 _let_103 _let_51 _let_102))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_101) :args _let_77)) _let_76 :args (_let_50 false _let_75)) _let_100 (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 false _let_50 true _let_32 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_94) (SYMM (SYMM _let_117)) (CONG _let_95 (SYMM _let_116) :args _let_94)) :args _let_92) (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_89)) (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_100 _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_100 _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 _let_9 _let_8 _let_7 _let_6 _let_3 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.42/12.60  )
% 12.42/12.60  % SZS output end Proof for GRP039-2
% 12.42/12.61  % cvc5---1.0.5 exiting
% 12.42/12.61  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------