%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP039-7 : TPTP v8.1.2. Bugfixed v1.0.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 11.79s 12.02s
% Output   : Proof 11.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP039-7 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.03/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n009.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 20:49:35 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.yyLCZpfSYF/cvc5---1.0.5_4086.p...
% 0.20/0.49  ------- get file name : TPTP file name is GRP039-7
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4086.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.68/10.87  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.79/12.02  % SZS status Unsatisfiable for GRP039-7
% 11.79/12.02  % SZS output start Proof for GRP039-7
% 11.79/12.02  (
% 11.79/12.02  (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 $$unsorted)) (= (tptp.inverse (tptp.inverse X)) X)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.identity)))) (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 $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_17 (tptp.inverse tptp.b))) (let ((_let_18 (tptp.multiply _let_17 tptp.b))) (let ((_let_19 (= tptp.identity _let_18))) (let ((_let_20 (tptp.subgroup_member _let_4))) (let ((_let_21 (= _let_4 (tptp.multiply tptp.identity _let_4)))) (let ((_let_22 (tptp.multiply _let_17 _let_5))) (let ((_let_23 (tptp.subgroup_member _let_22))) (let ((_let_24 (= _let_22 (tptp.multiply _let_18 _let_4)))) (let ((_let_25 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_28 (tptp.inverse _let_4))) (let ((_let_29 (tptp.subgroup_member _let_28))) (let ((_let_30 (not _let_20))) (let ((_let_31 (or _let_30 _let_29))) (let ((_let_32 (_let_13))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (= tptp.a _let_28))) (let ((_let_35 (tptp.subgroup_member tptp.a))) (let ((_let_36 (not _let_29))) (let ((_let_37 (forall ((X $$unsorted)) (= X (tptp.inverse (tptp.inverse X)))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_40 (not _let_35))) (let ((_let_41 (or _let_40 _let_20))) (let ((_let_42 (tptp.subgroup_member (tptp.multiply tptp.a _let_5)))) (let ((_let_43 (tptp.subgroup_member _let_5))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_40 _let_44 _let_42))) (let ((_let_46 (not _let_7))) (let ((_let_47 (or _let_46 _let_30 _let_43))) (let ((_let_48 (SYMM (ASSUME :args (_let_6))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO (AND_INTRO (EQ_RESOLVE (SYMM (ASSUME :args (_let_3))) (MACRO_SR_EQ_INTRO _let_48 :args ((= tptp.d _let_2) SB_DEFAULT SBA_FIXPOINT))) _let_48) :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.subgroup_member X)) (not (tptp.subgroup_member Y)) (tptp.subgroup_member (tptp.multiply X Y)))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_50))) (let ((_let_53 (ASSUME :args (_let_7)))) (let ((_let_54 (or))) (let ((_let_55 (and _let_40 _let_34))) (let ((_let_56 (_let_40 _let_34))) (let ((_let_57 (ASSUME :args (_let_40)))) (let ((_let_58 (APPLY_UF tptp.subgroup_member))) (let ((_let_59 (ASSUME :args (_let_34)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_29 (not _let_31)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_59) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_59) :args _let_58) (FALSE_INTRO _let_57))) :args _let_56)) :args _let_56)) :args (true _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_35))) (REFL :args ((not _let_34))) (REFL :args (_let_36)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_30 _let_43 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.b _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_52)) _let_51 :args (_let_47 false _let_50)) _let_53 (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_42 _let_40 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.a _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_52)) _let_51 :args (_let_45 false _let_50)) _let_49 (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_20 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args _let_39) :args _let_32)) _let_33 :args (_let_41 false _let_13)) :args (_let_40 false _let_47 false _let_7 true _let_43 false _let_45 true _let_42 false _let_20 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_39) :args (_let_37))) _let_38 :args (_let_34 false _let_37)) :args (_let_36 true _let_35 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) _let_33 :args (_let_31 false _let_13)) :args (_let_30 true _let_29 false _let_31)))) (let ((_let_61 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 (tptp.subgroup_member _let_17))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_44 _let_23))) (let ((_let_67 (tptp.element_in_O2 _let_4 _let_5))) (let ((_let_68 (tptp.subgroup_member _let_67))) (let ((_let_69 (or _let_20 _let_43 _let_68))) (let ((_let_70 (tptp.multiply _let_4 _let_67))) (let ((_let_71 (= _let_5 _let_70))) (let ((_let_72 (or _let_20 _let_43 _let_71))) (let ((_let_73 (tptp.multiply tptp.a _let_4))) (let ((_let_74 (= tptp.identity _let_73))) (let ((_let_75 (= _let_67 (tptp.multiply tptp.identity _let_67)))) (let ((_let_76 (= (tptp.multiply _let_73 _let_67) (tptp.multiply tptp.a _let_70)))) (let ((_let_77 (_let_9))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (_let_4 _let_5 QUANTIFIERS_INST_ENUM))) (let ((_let_80 (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_81 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply X (tptp.inverse X)))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_14))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (not _let_42))) (let ((_let_87 (APPLY_UF tptp.multiply))) (let ((_let_88 (ASSUME :args (_let_71)))) (let ((_let_89 (ASSUME :args (_let_76)))) (let ((_let_90 (ASSUME :args (_let_74)))) (let ((_let_91 (ASSUME :args (_let_75)))) (let ((_let_92 (ASSUME :args (_let_68)))) (let ((_let_93 (or _let_46 _let_64))) (let ((_let_94 (not _let_24))) (let ((_let_95 (not _let_23))) (let ((_let_96 (not _let_21))) (let ((_let_97 (not _let_19))) (let ((_let_98 (ASSUME :args (_let_30)))) (let ((_let_99 (ASSUME :args (_let_21)))) (let ((_let_100 (ASSUME :args (_let_19)))) (let ((_let_101 (ASSUME :args (_let_24)))) (let ((_let_102 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_101 _let_102 _let_99 _let_98 _let_100) :args (_let_19 _let_30 _let_21 _let_23 _let_24)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_102)) (CONG (TRANS (SYMM (SYMM _let_101)) (CONG (SYMM _let_100) (REFL :args (_let_4)) :args _let_87) (SYMM _let_99)) :args _let_58) (FALSE_INTRO _let_98))) :args (_let_24 _let_23 _let_21 _let_30 _let_19)) :args ((not (and _let_19 _let_30 _let_21 _let_23 _let_24)) SB_LITERAL))) (CONG (REFL :args (_let_97)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_20))) (REFL :args (_let_96)) (REFL :args (_let_95)) (REFL :args (_let_94)) :args _let_54)) :args ((or _let_20 _let_97 _let_96 _let_95 _let_94))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_17 tptp.b _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84))) _let_85 :args (_let_24 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_44 _let_23 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_46 _let_64 (not _let_93)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args _let_27) :args _let_32)) _let_33 :args (_let_93 false _let_13)) :args (_let_64 false _let_7 false _let_93)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_91 _let_92 _let_90 _let_89 _let_88 _let_49) :args (_let_86 _let_74 _let_68 _let_71 _let_75 _let_76)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_92)) (CONG (TRANS (SYMM (SYMM _let_91)) (CONG (SYMM (SYMM _let_90)) (REFL :args (_let_67)) :args _let_87) (SYMM (SYMM _let_89)) (CONG (REFL :args (tptp.a)) (SYMM _let_88) :args _let_87)) :args _let_58) (FALSE_INTRO _let_49))) :args (_let_75 _let_68 _let_74 _let_76 _let_71 _let_86)) :args ((not (and _let_86 _let_74 _let_68 _let_71 _let_75 _let_76)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_42))) (REFL :args ((not _let_74))) (REFL :args ((not _let_68))) (REFL :args ((not _let_71))) (REFL :args ((not _let_75))) (REFL :args ((not _let_76))) :args _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.a _let_4 _let_67 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_76 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_67 QUANTIFIERS_INST_ENUM)) :args _let_63)) _let_62 :args (_let_75 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args _let_39) :args (_let_82))) _let_83 :args (_let_74 false _let_82)) _let_49 (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_20 _let_43 _let_71 (not _let_72)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args _let_79) :args (_let_80))) _let_81 :args (_let_72 false _let_80)) _let_60 (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_20 _let_43 _let_68 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_79) :args _let_77)) _let_78 :args (_let_69 false _let_9)) _let_60 :args (_let_43 false _let_76 false _let_75 false _let_74 true _let_42 false _let_71 false _let_72 true _let_20 false _let_68 false _let_69 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_17 _let_5 QUANTIFIERS_INST_ENUM)) :args _let_52)) _let_51 :args (_let_66 false _let_50)) :args (_let_23 false _let_64 false _let_43 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_4 QUANTIFIERS_INST_ENUM)) :args _let_63)) _let_62 :args (_let_21 false _let_61)) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args _let_27) :args (_let_25))) _let_26 :args (_let_19 false _let_25)) :args (false false _let_24 false _let_23 false _let_21 true _let_20 false _let_19)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.identity) X)) _let_11 _let_10 (= (tptp.inverse tptp.identity) tptp.identity) (tptp.subgroup_member tptp.identity) _let_9 _let_8 _let_7 _let_6 _let_3 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.79/12.02  )
% 11.79/12.03  % SZS output end Proof for GRP039-7
% 11.79/12.03  % cvc5---1.0.5 exiting
% 11.79/12.03  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------