%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP169-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 00:24:56 EDT 2023

% Result   : Unsatisfiable 51.79s 52.66s
% Output   : Proof 51.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : GRP169-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.09/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 28 21:45:51 EDT 2023
% 0.13/0.33  % CPUTime    : 
% 0.18/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.47  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.fp9DhwAoxs/cvc5---1.0.5_31455.p...
% 0.18/0.48  ------- get file name : TPTP file name is GRP169-2
% 0.18/0.48  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31455.smt2...
% 0.18/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.55/10.81  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.61/15.85  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.61/21.44  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.58/26.49  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.67/31.59  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.73/36.67  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.92/41.77  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.01/46.89  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.08/51.99  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 51.79/52.66  % SZS status Unsatisfiable for GRP169-2
% 51.79/52.66  % SZS output start Proof for GRP169-2
% 51.79/52.67  (
% 51.79/52.67  (let ((_let_1 (tptp.greatest_lower_bound tptp.a tptp.b))) (let ((_let_2 (not (= _let_1 tptp.b)))) (let ((_let_3 (tptp.inverse tptp.a))) (let ((_let_4 (tptp.inverse tptp.b))) (let ((_let_5 (tptp.greatest_lower_bound _let_3 _let_4))) (let ((_let_6 (= _let_5 _let_3))) (let ((_let_7 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_14 (forall ((X $$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 (= _let_3 _let_5))) (let ((_let_18 (= tptp.b _let_1))) (let ((_let_19 (tptp.multiply _let_3 tptp.a))) (let ((_let_20 (= tptp.identity _let_19))) (let ((_let_21 (tptp.multiply _let_4 tptp.b))) (let ((_let_22 (= tptp.identity _let_21))) (let ((_let_23 (= _let_1 (tptp.greatest_lower_bound tptp.b tptp.a)))) (let ((_let_24 (tptp.greatest_lower_bound _let_4 _let_3))) (let ((_let_25 (= _let_5 _let_24))) (let ((_let_26 (tptp.least_upper_bound tptp.a _let_1))) (let ((_let_27 (= tptp.a _let_26))) (let ((_let_28 (tptp.multiply _let_3 _let_1))) (let ((_let_29 (= (tptp.multiply _let_3 _let_26) (tptp.least_upper_bound _let_19 _let_28)))) (let ((_let_30 (tptp.multiply tptp.identity tptp.a))) (let ((_let_31 (= tptp.a _let_30))) (let ((_let_32 (tptp.inverse _let_3))) (let ((_let_33 (tptp.multiply _let_32 _let_3))) (let ((_let_34 (= tptp.identity _let_33))) (let ((_let_35 (= (tptp.multiply _let_33 tptp.a) (tptp.multiply _let_32 _let_19)))) (let ((_let_36 (tptp.multiply _let_3 tptp.b))) (let ((_let_37 (= _let_28 (tptp.greatest_lower_bound _let_19 _let_36)))) (let ((_let_38 (tptp.multiply tptp.identity tptp.b))) (let ((_let_39 (= tptp.b _let_38))) (let ((_let_40 (tptp.least_upper_bound tptp.b tptp.a))) (let ((_let_41 (tptp.least_upper_bound tptp.a tptp.b))) (let ((_let_42 (= _let_41 _let_40))) (let ((_let_43 (= (tptp.multiply _let_24 tptp.b) (tptp.greatest_lower_bound _let_21 _let_36)))) (let ((_let_44 (= tptp.b (tptp.greatest_lower_bound tptp.b _let_40)))) (let ((_let_45 (tptp.multiply _let_3 _let_41))) (let ((_let_46 (= _let_45 (tptp.least_upper_bound _let_19 _let_36)))) (let ((_let_47 (= (tptp.multiply tptp.identity _let_41) (tptp.least_upper_bound _let_30 _let_38)))) (let ((_let_48 (= (tptp.multiply _let_33 _let_41) (tptp.multiply _let_32 _let_45)))) (let ((_let_49 (SYMM (ASSUME :args (_let_6))))) (let ((_let_50 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_50))) (let ((_let_53 ((tptp.inverse X)))) (let ((_let_54 (_let_13))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 ((tptp.greatest_lower_bound X Y)))) (let ((_let_57 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_9))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (forall ((X $$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 (_let_14))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (_let_8))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (_let_12))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (_let_7))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 ((tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z))))) (let ((_let_75 (and _let_17 _let_20 _let_22 _let_23 _let_25 _let_27 _let_29 _let_31 _let_34 _let_35 _let_37 _let_39 _let_42 _let_43 _let_44 _let_46 _let_47 _let_48))) (let ((_let_76 (ASSUME :args (_let_23)))) (let ((_let_77 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_78 (ASSUME :args (_let_31)))) (let ((_let_79 (APPLY_UF tptp.multiply))) (let ((_let_80 (ASSUME :args (_let_34)))) (let ((_let_81 (ASSUME :args (_let_35)))) (let ((_let_82 (ASSUME :args (_let_27)))) (let ((_let_83 (CONG (REFL :args (_let_3)) (SYMM _let_82) :args _let_79))) (let ((_let_84 (ASSUME :args (_let_29)))) (let ((_let_85 (SYMM _let_84))) (let ((_let_86 (APPLY_UF tptp.least_upper_bound))) (let ((_let_87 (ASSUME :args (_let_20)))) (let ((_let_88 (SYMM _let_87))) (let ((_let_89 (SYMM _let_88))) (let ((_let_90 (TRANS (TRANS _let_85 _let_83 _let_88) _let_89))) (let ((_let_91 (ASSUME :args (_let_37)))) (let ((_let_92 (ASSUME :args (_let_22)))) (let ((_let_93 (ASSUME :args (_let_43)))) (let ((_let_94 (REFL :args (tptp.b)))) (let ((_let_95 (ASSUME :args (_let_25)))) (let ((_let_96 (ASSUME :args (_let_46)))) (let ((_let_97 (ASSUME :args (_let_48)))) (let ((_let_98 (ASSUME :args (_let_47)))) (let ((_let_99 (ASSUME :args (_let_39)))) (let ((_let_100 (ASSUME :args (_let_42)))) (let ((_let_101 (ASSUME :args (_let_44)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_75)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_76 _let_78 _let_80 _let_81 _let_82 _let_84 _let_87 _let_91 _let_92 _let_93 _let_95 _let_49 _let_96 _let_97 _let_98 _let_99 _let_100 _let_101) (SCOPE (TRANS (SYMM (SYMM _let_101)) (CONG _let_94 (SYMM _let_100) :args _let_77) (CONG _let_94 (TRANS (CONG _let_78 (SYMM (SYMM _let_99)) :args _let_86) (SYMM _let_98) (CONG _let_80 (REFL :args (_let_41)) :args _let_79) (SYMM (SYMM _let_97)) (CONG (REFL :args (_let_32)) (TRANS (SYMM (SYMM _let_96)) (CONG (SYMM _let_90) (TRANS (CONG (TRANS (SYMM (SYMM _let_49)) (SYMM (SYMM _let_95))) _let_94 :args _let_79) (SYMM (SYMM _let_93)) (CONG (TRANS (SYMM _let_92) _let_89) (REFL :args (_let_36)) :args _let_77) (SYMM _let_91)) :args _let_86) (CONG _let_90 (REFL :args (_let_28)) :args _let_86) _let_85 _let_83) :args _let_79) (SYMM _let_81) (CONG (SYMM _let_80) (REFL :args (tptp.a)) :args _let_79) (SYMM _let_78)) :args _let_77) (SYMM _let_76)) :args (_let_23 _let_31 _let_34 _let_35 _let_27 _let_29 _let_20 _let_37 _let_22 _let_43 _let_25 _let_17 _let_46 _let_48 _let_47 _let_39 _let_42 _let_44))) :args (_let_17 _let_20 _let_22 _let_23 _let_25 _let_27 _let_29 _let_31 _let_34 _let_35 _let_37 _let_39 _let_42 _let_43 _let_44 _let_46 _let_47 _let_48))) :args (true _let_75)) :args ((or _let_18 (not _let_17) (not _let_20) (not _let_22) (not _let_23) (not _let_25) (not _let_27) (not _let_29) (not _let_31) (not _let_34) (not _let_35) (not _let_37) (not _let_39) (not _let_42) (not _let_43) (not _let_44) (not _let_46) (not _let_47) (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_32 _let_3 _let_41 QUANTIFIERS_INST_CBQI_PROP)) :args _let_64)) _let_65 :args (_let_48 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.identity tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_74)) :args _let_59)) _let_60 :args (_let_47 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_3 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_74)) :args _let_59)) _let_60 :args (_let_46 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args (_let_72))) _let_73 :args (_let_44 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_4 _let_3 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_70)) _let_71 :args (_let_43 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.a tptp.b QUANTIFIERS_INST_ENUM)) :args _let_68)) _let_69 :args (_let_42 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.b QUANTIFIERS_INST_ENUM)) :args _let_63)) _let_62 :args (_let_39 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_3 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.greatest_lower_bound Y Z))))) :args _let_66)) _let_67 :args (_let_37 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_32 _let_3 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.multiply X Y) Z)))) :args _let_64)) _let_65 :args (_let_35 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_3 QUANTIFIERS_INST_ENUM)) :args _let_52)) _let_51 :args (_let_34 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_63)) _let_62 :args (_let_31 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_3 tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.least_upper_bound Y Z))))) :args _let_59)) _let_60 :args (_let_29 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args (_let_57))) _let_58 :args (_let_27 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_3 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_54)) _let_55 :args (_let_25 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_54)) _let_55 :args (_let_23 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_52)) _let_51 :args (_let_22 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_52)) _let_51 :args (_let_20 false _let_50)) (SYMM (ASSUME :args (_let_2))) _let_49 :args (false false _let_48 false _let_47 false _let_46 false _let_44 false _let_43 false _let_42 false _let_39 false _let_37 false _let_35 false _let_34 false _let_31 false _let_29 false _let_27 false _let_25 false _let_23 false _let_22 false _let_20 true _let_18 false _let_17)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))) (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_11 _let_10 _let_9 _let_8 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))) _let_7 _let_6 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 51.79/52.67  )
% 51.79/52.67  % SZS output end Proof for GRP169-2
% 51.79/52.68  % cvc5---1.0.5 exiting
% 51.79/52.68  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------