%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP193-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 00:25:07 EDT 2023

% Result   : Unsatisfiable 2.46s 2.74s
% Output   : Proof 2.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP193-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 28 20:02:28 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.47  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6LsDqwk69b/cvc5---1.0.5_24510.p...
% 0.18/0.47  ------- get file name : TPTP file name is GRP193-1
% 0.18/0.48  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24510.smt2...
% 0.18/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.46/2.74  % SZS status Unsatisfiable for GRP193-1
% 2.46/2.74  % SZS output start Proof for GRP193-1
% 2.46/2.75  (
% 2.46/2.75  (let ((_let_1 (tptp.greatest_lower_bound tptp.a tptp.c))) (let ((_let_2 (tptp.multiply tptp.b tptp.c))) (let ((_let_3 (tptp.greatest_lower_bound tptp.a _let_2))) (let ((_let_4 (not (= _let_3 _let_1)))) (let ((_let_5 (tptp.greatest_lower_bound tptp.a tptp.b))) (let ((_let_6 (tptp.multiply _let_5 _let_1))) (let ((_let_7 (tptp.least_upper_bound _let_3 _let_6))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (= _let_5 tptp.identity))) (let ((_let_10 (tptp.least_upper_bound tptp.identity tptp.b))) (let ((_let_11 (= _let_10 tptp.b))) (let ((_let_12 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_17 (forall ((X $$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_18 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_20 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_21 (tptp.multiply tptp.identity tptp.c))) (let ((_let_22 (tptp.greatest_lower_bound _let_2 tptp.a))) (let ((_let_23 (tptp.least_upper_bound _let_22 _let_21))) (let ((_let_24 (= (tptp.greatest_lower_bound tptp.a (tptp.greatest_lower_bound _let_2 _let_23)) (tptp.greatest_lower_bound _let_3 _let_23)))) (let ((_let_25 (_let_17))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (= _let_22 (tptp.greatest_lower_bound _let_22 _let_23)))) (let ((_let_28 (tptp.least_upper_bound _let_6 _let_3))) (let ((_let_29 (= (tptp.least_upper_bound tptp.c _let_28) (tptp.least_upper_bound (tptp.least_upper_bound tptp.c _let_6) _let_3)))) (let ((_let_30 (tptp.least_upper_bound _let_3 _let_3))) (let ((_let_31 (tptp.multiply _let_5 _let_30))) (let ((_let_32 (= (tptp.least_upper_bound tptp.c _let_31) (tptp.least_upper_bound _let_31 tptp.c)))) (let ((_let_33 (tptp.least_upper_bound _let_21 _let_2))) (let ((_let_34 (tptp.greatest_lower_bound _let_21 _let_33))) (let ((_let_35 (= _let_34 (tptp.greatest_lower_bound _let_33 _let_21)))) (let ((_let_36 (= _let_30 (tptp.multiply tptp.identity _let_30)))) (let ((_let_37 (= _let_21 _let_34))) (let ((_let_38 (tptp.greatest_lower_bound tptp.c tptp.a))) (let ((_let_39 (= tptp.c (tptp.least_upper_bound tptp.c _let_38)))) (let ((_let_40 (= _let_3 _let_30))) (let ((_let_41 (= tptp.c _let_21))) (let ((_let_42 (= (tptp.multiply _let_10 tptp.c) _let_33))) (let ((_let_43 (= _let_7 _let_28))) (let ((_let_44 (= _let_3 _let_22))) (let ((_let_45 (= _let_1 _let_38))) (let ((_let_46 (= _let_1 (tptp.multiply tptp.identity _let_1)))) (let ((_let_47 (= _let_6 _let_7))) (let ((_let_48 (= tptp.identity _let_5))) (let ((_let_49 (= tptp.b _let_10))) (let ((_let_50 (= _let_1 _let_3))) (let ((_let_51 (not _let_24))) (let ((_let_52 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 ((tptp.least_upper_bound X Y)))) (let ((_let_56 (_let_16))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (_let_18))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((tptp.least_upper_bound X Y)))) (let ((_let_61 (_let_19))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((tptp.greatest_lower_bound X Y)))) (let ((_let_64 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((tptp.multiply tptp.identity X)))) (let ((_let_68 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (forall ((X $$unsorted)) (= X (tptp.least_upper_bound X X))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_12))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (SYMM (ASSUME :args (_let_8))))) (let ((_let_75 (SYMM (ASSUME :args (_let_9))))) (let ((_let_76 (SYMM (ASSUME :args (_let_11))))) (let ((_let_77 (SYMM (ASSUME :args (_let_4))))) (let ((_let_78 (not _let_27))) (let ((_let_79 (not _let_29))) (let ((_let_80 (not _let_32))) (let ((_let_81 (not _let_35))) (let ((_let_82 (not _let_36))) (let ((_let_83 (not _let_37))) (let ((_let_84 (not _let_39))) (let ((_let_85 (not _let_40))) (let ((_let_86 (not _let_41))) (let ((_let_87 (not _let_42))) (let ((_let_88 (not _let_43))) (let ((_let_89 (not _let_44))) (let ((_let_90 (not _let_45))) (let ((_let_91 (not _let_46))) (let ((_let_92 (not _let_47))) (let ((_let_93 (not _let_48))) (let ((_let_94 (not _let_49))) (let ((_let_95 (not _let_50))) (let ((_let_96 (and _let_49 _let_48 _let_47 _let_95 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_39 _let_37 _let_36 _let_35 _let_32 _let_29 _let_27))) (let ((_let_97 (ASSUME :args (_let_44)))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (ASSUME :args (_let_27)))) (let ((_let_100 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_101 (ASSUME :args (_let_41)))) (let ((_let_102 (SYMM _let_101))) (let ((_let_103 (ASSUME :args (_let_37)))) (let ((_let_104 (ASSUME :args (_let_35)))) (let ((_let_105 (ASSUME :args (_let_39)))) (let ((_let_106 (APPLY_UF tptp.least_upper_bound))) (let ((_let_107 (ASSUME :args (_let_45)))) (let ((_let_108 (SYMM _let_107))) (let ((_let_109 (ASSUME :args (_let_46)))) (let ((_let_110 (APPLY_UF tptp.multiply))) (let ((_let_111 (SYMM _let_75))) (let ((_let_112 (CONG _let_111 (REFL :args (_let_1)) :args _let_110))) (let ((_let_113 (ASSUME :args (_let_43)))) (let ((_let_114 (REFL :args (tptp.c)))) (let ((_let_115 (ASSUME :args (_let_29)))) (let ((_let_116 (ASSUME :args (_let_40)))) (let ((_let_117 (SYMM _let_116))) (let ((_let_118 (ASSUME :args (_let_36)))) (let ((_let_119 (TRANS (CONG (REFL :args (_let_5)) _let_117 :args _let_110) (CONG _let_111 _let_116 :args _let_110) (SYMM _let_118) _let_117 _let_97))) (let ((_let_120 (ASSUME :args (_let_32)))) (let ((_let_121 (ASSUME :args (_let_42)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.a _let_2 _let_23 QUANTIFIERS_INST_E_MATCHING ((tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z)))) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_96)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_103 _let_104 _let_121 _let_76 _let_105 _let_107 _let_109 _let_75 _let_74 _let_113 _let_115 _let_97 _let_116 _let_118 _let_120 _let_77 _let_99) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (REFL :args (tptp.a)) (TRANS (CONG (TRANS (CONG (SYMM (SYMM _let_76)) _let_114 :args _let_110) (SYMM (SYMM _let_121))) (TRANS (CONG (SYMM _let_119) _let_102 :args _let_106) (SYMM _let_120) (CONG _let_101 _let_119 :args _let_106) (CONG (TRANS _let_102 (TRANS _let_105 (CONG _let_114 (TRANS _let_108 _let_109 (SYMM _let_112)) :args _let_106))) _let_98 :args _let_106) (SYMM _let_115) (CONG _let_114 (TRANS (SYMM _let_113) (SYMM _let_74) _let_112 (SYMM _let_109) (SYMM _let_108)) :args _let_106) (SYMM _let_105) _let_101) :args _let_100) (SYMM _let_104) (SYMM _let_103) _let_102) :args _let_100) (TRANS (CONG _let_97 (REFL :args (_let_23)) :args _let_100) (SYMM _let_99) _let_98) :args (=)) (FALSE_INTRO _let_77))) :args (_let_41 _let_37 _let_35 _let_42 _let_49 _let_39 _let_45 _let_46 _let_48 _let_47 _let_43 _let_29 _let_44 _let_40 _let_36 _let_32 _let_95 _let_27))) :args (_let_49 _let_48 _let_47 _let_95 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_39 _let_37 _let_36 _let_35 _let_32 _let_29 _let_27))) :args (true _let_96)) (CONG (REFL :args (_let_94)) (REFL :args (_let_93)) (REFL :args (_let_92)) (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_50))) (REFL :args (_let_91)) (REFL :args (_let_90)) (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_51)) :args (or))) :args ((or _let_50 _let_94 _let_93 _let_92 _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_51))) _let_77 _let_76 _let_75 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_46 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_45 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_44 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_3 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_43 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.identity tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) :args _let_72)) _let_73 :args (_let_42 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_41 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X X)))) :args (_let_70))) _let_71 :args (_let_40 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args (_let_68))) _let_69 :args (_let_39 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_21 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_37 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_36 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_21 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_35 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.c _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_32 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.c _let_6 _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound X (tptp.least_upper_bound Y Z))))) :args _let_56)) _let_57 :args (_let_29 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_22 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_27 false _let_52)) :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_42 false _let_41 false _let_40 false _let_39 false _let_37 false _let_36 false _let_35 false _let_32 false _let_29 false _let_27)) _let_26 :args (false true _let_24 false _let_17)) :args (_let_20 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) _let_19 _let_18 _let_17 _let_16 _let_15 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_14 _let_13 (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)))) _let_12 (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)))) (= (tptp.least_upper_bound tptp.identity tptp.a) tptp.a) _let_11 (= (tptp.least_upper_bound tptp.identity tptp.c) tptp.c) _let_9 _let_8 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.46/2.75  )
% 2.56/2.76  % SZS output end Proof for GRP193-1
% 2.56/2.76  % cvc5---1.0.5 exiting
% 2.56/2.76  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------