%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP147-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 00:24:49 EDT 2023

% Result   : Unsatisfiable 0.22s 0.57s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GRP147-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n017.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 21:34:28 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Wvh6uLztx2/cvc5---1.0.5_24434.p...
% 0.22/0.50  ------- get file name : TPTP file name is GRP147-1
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24434.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.57  % SZS status Unsatisfiable for GRP147-1
% 0.22/0.57  % SZS output start Proof for GRP147-1
% 0.22/0.58  (
% 0.22/0.58  (let ((_let_1 (tptp.least_upper_bound tptp.a tptp.b))) (let ((_let_2 (tptp.greatest_lower_bound _let_1 tptp.c))) (let ((_let_3 (not (= _let_2 _let_1)))) (let ((_let_4 (tptp.greatest_lower_bound tptp.b tptp.c))) (let ((_let_5 (= _let_4 tptp.b))) (let ((_let_6 (tptp.greatest_lower_bound tptp.a tptp.c))) (let ((_let_7 (= _let_6 tptp.a))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)))) (let ((_let_11 (forall ((X $$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))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_16 (tptp.least_upper_bound tptp.b tptp.a))) (let ((_let_17 (tptp.greatest_lower_bound _let_16 tptp.c))) (let ((_let_18 (tptp.greatest_lower_bound _let_17 tptp.b))) (let ((_let_19 (= _let_17 (tptp.least_upper_bound _let_17 _let_18)))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (tptp.greatest_lower_bound _let_2 tptp.a))) (let ((_let_22 (= _let_2 (tptp.least_upper_bound _let_2 _let_21)))) (let ((_let_23 (tptp.least_upper_bound _let_2 tptp.a))) (let ((_let_24 (tptp.least_upper_bound _let_23 tptp.b))) (let ((_let_25 (= _let_24 (tptp.least_upper_bound tptp.b _let_23)))) (let ((_let_26 (tptp.greatest_lower_bound tptp.b _let_17))) (let ((_let_27 (= _let_26 _let_18))) (let ((_let_28 (tptp.least_upper_bound _let_2 _let_1))) (let ((_let_29 (= _let_28 _let_24))) (let ((_let_30 (tptp.greatest_lower_bound tptp.b _let_16))) (let ((_let_31 (= _let_26 (tptp.greatest_lower_bound _let_30 tptp.c)))) (let ((_let_32 (= (tptp.least_upper_bound tptp.b _let_2) (tptp.least_upper_bound _let_2 tptp.b)))) (let ((_let_33 (tptp.greatest_lower_bound tptp.a _let_2))) (let ((_let_34 (= _let_33 _let_21))) (let ((_let_35 (= tptp.b _let_30))) (let ((_let_36 (tptp.greatest_lower_bound tptp.c tptp.c))) (let ((_let_37 (= tptp.c _let_36))) (let ((_let_38 (tptp.greatest_lower_bound tptp.b _let_36))) (let ((_let_39 (= (tptp.greatest_lower_bound tptp.b (tptp.greatest_lower_bound _let_36 _let_36)) (tptp.greatest_lower_bound _let_38 _let_36)))) (let ((_let_40 (tptp.greatest_lower_bound tptp.a _let_1))) (let ((_let_41 (= _let_33 (tptp.greatest_lower_bound _let_40 tptp.c)))) (let ((_let_42 (tptp.least_upper_bound _let_1 _let_2))) (let ((_let_43 (= _let_42 _let_28))) (let ((_let_44 (= tptp.a _let_40))) (let ((_let_45 (= _let_1 _let_42))) (let ((_let_46 (= _let_38 (tptp.greatest_lower_bound _let_4 tptp.c)))) (let ((_let_47 (= _let_1 _let_16))) (let ((_let_48 (= tptp.b _let_4))) (let ((_let_49 (= tptp.a _let_6))) (let ((_let_50 (= _let_1 _let_2))) (let ((_let_51 (not _let_19))) (let ((_let_52 (_let_15))) (let ((_let_53 ((tptp.greatest_lower_bound X Y)))) (let ((_let_54 (_let_13))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 ((tptp.least_upper_bound X Y)))) (let ((_let_57 (_let_14))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 ((tptp.greatest_lower_bound X Y)))) (let ((_let_60 (_let_11))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (_let_12))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z)))) (let ((_let_65 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_65))) (let ((_let_68 ((tptp.least_upper_bound X Y)))) (let ((_let_69 (forall ((X $$unsorted)) (= X (tptp.greatest_lower_bound X X))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (SYMM (ASSUME :args (_let_5))))) (let ((_let_72 (SYMM (ASSUME :args (_let_7))))) (let ((_let_73 (SYMM (ASSUME :args (_let_3))))) (let ((_let_74 (not _let_22))) (let ((_let_75 (not _let_25))) (let ((_let_76 (not _let_27))) (let ((_let_77 (not _let_29))) (let ((_let_78 (not _let_31))) (let ((_let_79 (not _let_32))) (let ((_let_80 (not _let_34))) (let ((_let_81 (not _let_35))) (let ((_let_82 (not _let_37))) (let ((_let_83 (not _let_39))) (let ((_let_84 (not _let_41))) (let ((_let_85 (not _let_43))) (let ((_let_86 (not _let_44))) (let ((_let_87 (not _let_45))) (let ((_let_88 (not _let_46))) (let ((_let_89 (not _let_47))) (let ((_let_90 (not _let_48))) (let ((_let_91 (not _let_49))) (let ((_let_92 (not _let_50))) (let ((_let_93 (and _let_49 _let_48 _let_92 _let_47 _let_46 _let_45 _let_44 _let_43 _let_41 _let_39 _let_37 _let_35 _let_34 _let_32 _let_31 _let_29 _let_27 _let_25 _let_22))) (let ((_let_94 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_95 (REFL :args (tptp.c)))) (let ((_let_96 (ASSUME :args (_let_47)))) (let ((_let_97 (CONG (SYMM _let_96) _let_95 :args _let_94))) (let ((_let_98 (ASSUME :args (_let_45)))) (let ((_let_99 (ASSUME :args (_let_43)))) (let ((_let_100 (ASSUME :args (_let_29)))) (let ((_let_101 (ASSUME :args (_let_25)))) (let ((_let_102 (APPLY_UF tptp.least_upper_bound))) (let ((_let_103 (SYMM _let_72))) (let ((_let_104 (ASSUME :args (_let_44)))) (let ((_let_105 (ASSUME :args (_let_41)))) (let ((_let_106 (ASSUME :args (_let_34)))) (let ((_let_107 (ASSUME :args (_let_22)))) (let ((_let_108 (ASSUME :args (_let_32)))) (let ((_let_109 (SYMM _let_71))) (let ((_let_110 (CONG _let_109 _let_95 :args _let_94))) (let ((_let_111 (ASSUME :args (_let_46)))) (let ((_let_112 (SYMM (SYMM _let_111)))) (let ((_let_113 (ASSUME :args (_let_39)))) (let ((_let_114 (ASSUME :args (_let_37)))) (let ((_let_115 (SYMM (SYMM _let_114)))) (let ((_let_116 (ASSUME :args (_let_35)))) (let ((_let_117 (ASSUME :args (_let_31)))) (let ((_let_118 (ASSUME :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_17 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_93)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_99 _let_100 _let_101 _let_72 _let_104 _let_105 _let_106 _let_107 _let_108 _let_96 _let_71 _let_111 _let_113 _let_116 _let_114 _let_117 _let_118 _let_73) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG _let_97 (TRANS (SYMM _let_118) (SYMM (SYMM _let_117)) (CONG (SYMM _let_116) (TRANS _let_115 (CONG _let_115 _let_115 :args _let_94)) :args _let_94) (SYMM (SYMM _let_113)) (CONG (TRANS _let_112 _let_110 _let_109) (REFL :args (_let_36)) :args _let_94) _let_112 _let_110 _let_109) :args _let_102) (SYMM _let_108) (CONG (REFL :args (tptp.b)) (TRANS (SYMM (SYMM _let_107)) (CONG (REFL :args (_let_2)) (TRANS (SYMM _let_106) (SYMM (SYMM _let_105)) (CONG (TRANS (SYMM _let_104) _let_72) _let_95 :args _let_94) (CONG _let_103 _let_95 :args _let_94) _let_103) :args _let_102)) :args _let_102) (SYMM _let_101) (SYMM _let_100) (SYMM _let_99) (SYMM _let_98)) _let_97 :args (=)) (FALSE_INTRO _let_73)) :args ((= _let_19 false)))) :args (_let_45 _let_43 _let_29 _let_25 _let_49 _let_44 _let_41 _let_34 _let_22 _let_32 _let_47 _let_48 _let_46 _let_39 _let_35 _let_37 _let_31 _let_27 _let_92))) :args (_let_49 _let_48 _let_92 _let_47 _let_46 _let_45 _let_44 _let_43 _let_41 _let_39 _let_37 _let_35 _let_34 _let_32 _let_31 _let_29 _let_27 _let_25 _let_22))) :args (true _let_93)) (CONG (REFL :args (_let_91)) (REFL :args (_let_90)) (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_50))) (REFL :args (_let_89)) (REFL :args (_let_88)) (REFL :args (_let_87)) (REFL :args (_let_86)) (REFL :args (_let_85)) (REFL :args (_let_84)) (REFL :args (_let_83)) (REFL :args (_let_82)) (REFL :args (_let_81)) (REFL :args (_let_80)) (REFL :args (_let_79)) (REFL :args (_let_78)) (REFL :args (_let_77)) (REFL :args (_let_76)) (REFL :args (_let_75)) (REFL :args (_let_74)) (REFL :args (_let_51)) :args (or))) :args ((or _let_50 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_51))) _let_73 _let_72 _let_71 (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_47 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.b tptp.c tptp.c QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_46 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_1 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_52)) _let_20 :args (_let_45 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) _let_66 :args (_let_44 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_54)) _let_55 :args (_let_43 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.a _let_1 tptp.c QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_41 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.b _let_36 _let_36 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_39 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X X)))) :args (_let_69))) _let_70 :args (_let_37 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) _let_66 :args (_let_35 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_57)) _let_58 :args (_let_34 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_54)) _let_55 :args (_let_32 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.b _let_16 tptp.c QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_31 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_2 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound X (tptp.least_upper_bound Y Z))))) :args _let_60)) _let_61 :args (_let_29 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.b _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_57)) _let_58 :args (_let_27 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_23 tptp.b 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_20 :args (_let_2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_52)) _let_20 :args (_let_22 false _let_15)) :args (_let_51 true _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_43 false _let_41 false _let_39 false _let_37 false _let_35 false _let_34 false _let_32 false _let_31 false _let_29 false _let_27 false _let_25 false _let_22)) _let_20 :args (false true _let_19 false _let_15)) :args ((forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) _let_14 _let_13 _let_12 _let_11 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) _let_10 _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))) (forall ((X $$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)))) (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))) (forall ((Y $$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_7 _let_5 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.58  )
% 0.22/0.58  % SZS output end Proof for GRP147-1
% 0.22/0.58  % cvc5---1.0.5 exiting
% 0.22/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------