TSTP Solution File: GRP185-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP185-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 00:25:04 EDT 2023
% Result : Unsatisfiable 0.21s 0.66s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP185-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 20:17:56 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.5AfTAXWp4D/cvc5---1.0.5_6106.p...
% 0.21/0.51 ------- get file name : TPTP file name is GRP185-2
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6106.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.66 % SZS status Unsatisfiable for GRP185-2
% 0.21/0.66 % SZS output start Proof for GRP185-2
% 0.21/0.66 (
% 0.21/0.66 (let ((_let_1 (tptp.least_upper_bound tptp.b tptp.identity))) (let ((_let_2 (tptp.least_upper_bound tptp.a tptp.identity))) (let ((_let_3 (tptp.multiply _let_2 _let_1))) (let ((_let_4 (tptp.multiply tptp.a tptp.b))) (let ((_let_5 (tptp.least_upper_bound _let_4 tptp.identity))) (let ((_let_6 (tptp.least_upper_bound _let_5 _let_3))) (let ((_let_7 (not (= _let_6 _let_3)))) (let ((_let_8 (tptp.inverse tptp.identity))) (let ((_let_9 (= _let_8 tptp.identity))) (let ((_let_10 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_11 (forall ((X $$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_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_17 (tptp.least_upper_bound tptp.identity tptp.a))) (let ((_let_18 (tptp.greatest_lower_bound tptp.identity _let_17))) (let ((_let_19 (tptp.multiply tptp.a tptp.identity))) (let ((_let_20 (tptp.multiply _let_2 tptp.b))) (let ((_let_21 (tptp.least_upper_bound _let_20 _let_19))) (let ((_let_22 (tptp.least_upper_bound tptp.identity _let_18))) (let ((_let_23 (= (tptp.least_upper_bound _let_21 _let_22) (tptp.least_upper_bound (tptp.least_upper_bound _let_21 tptp.identity) _let_18)))) (let ((_let_24 (_let_14))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (= tptp.identity _let_22))) (let ((_let_27 (tptp.least_upper_bound tptp.identity _let_4))) (let ((_let_28 (tptp.least_upper_bound _let_4 _let_19))) (let ((_let_29 (= (tptp.least_upper_bound tptp.identity _let_28) (tptp.least_upper_bound _let_27 _let_19)))) (let ((_let_30 (= (tptp.least_upper_bound _let_5 _let_28) (tptp.least_upper_bound (tptp.least_upper_bound _let_5 _let_4) _let_19)))) (let ((_let_31 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_32 (tptp.least_upper_bound _let_19 _let_31))) (let ((_let_33 (= (tptp.least_upper_bound _let_20 _let_32) (tptp.least_upper_bound _let_21 _let_31)))) (let ((_let_34 (tptp.greatest_lower_bound _let_4 _let_5))) (let ((_let_35 (tptp.least_upper_bound _let_4 _let_34))) (let ((_let_36 (= (tptp.least_upper_bound tptp.identity _let_35) (tptp.least_upper_bound _let_27 _let_34)))) (let ((_let_37 (tptp.multiply tptp.a _let_1))) (let ((_let_38 (tptp.least_upper_bound tptp.identity _let_37))) (let ((_let_39 (tptp.multiply tptp.identity _let_1))) (let ((_let_40 (tptp.least_upper_bound _let_38 _let_39))) (let ((_let_41 (= _let_40 (tptp.least_upper_bound _let_39 _let_38)))) (let ((_let_42 (tptp.least_upper_bound _let_5 _let_37))) (let ((_let_43 (tptp.least_upper_bound _let_42 _let_39))) (let ((_let_44 (= _let_43 (tptp.least_upper_bound _let_39 _let_42)))) (let ((_let_45 (= _let_38 (tptp.least_upper_bound _let_37 tptp.identity)))) (let ((_let_46 (tptp.multiply _let_2 tptp.identity))) (let ((_let_47 (= _let_46 _let_32))) (let ((_let_48 (= _let_37 _let_28))) (let ((_let_49 (= tptp.identity _let_18))) (let ((_let_50 (= _let_4 _let_35))) (let ((_let_51 (tptp.least_upper_bound _let_37 _let_39))) (let ((_let_52 (= (tptp.least_upper_bound tptp.identity _let_51) _let_40))) (let ((_let_53 (= (tptp.least_upper_bound _let_5 _let_51) _let_43))) (let ((_let_54 (= (tptp.least_upper_bound tptp.identity _let_3) (tptp.least_upper_bound _let_3 tptp.identity)))) (let ((_let_55 (= _let_3 _let_51))) (let ((_let_56 (= _let_3 (tptp.least_upper_bound _let_20 _let_46)))) (let ((_let_57 (= _let_4 _let_34))) (let ((_let_58 (= _let_5 _let_27))) (let ((_let_59 (= tptp.identity (tptp.multiply _let_8 tptp.identity)))) (let ((_let_60 (= tptp.identity _let_8))) (let ((_let_61 (= _let_3 _let_6))) (let ((_let_62 (not _let_23))) (let ((_let_63 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_63))) (let ((_let_66 ((tptp.greatest_lower_bound X Y)))) (let ((_let_67 ((tptp.least_upper_bound X (tptp.least_upper_bound Y Z))))) (let ((_let_68 (_let_15))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.least_upper_bound X Y)))) (let ((_let_71 (_let_10))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) (let ((_let_74 (_let_11))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((tptp.multiply X (tptp.least_upper_bound Y Z))))) (let ((_let_77 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.least_upper_bound X Y)))) (let ((_let_81 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (SYMM (ASSUME :args (_let_9))))) (let ((_let_84 (SYMM (ASSUME :args (_let_7))))) (let ((_let_85 (not _let_26))) (let ((_let_86 (not _let_29))) (let ((_let_87 (not _let_30))) (let ((_let_88 (not _let_33))) (let ((_let_89 (not _let_36))) (let ((_let_90 (not _let_41))) (let ((_let_91 (not _let_44))) (let ((_let_92 (not _let_45))) (let ((_let_93 (not _let_47))) (let ((_let_94 (not _let_48))) (let ((_let_95 (not _let_49))) (let ((_let_96 (not _let_50))) (let ((_let_97 (not _let_52))) (let ((_let_98 (not _let_53))) (let ((_let_99 (not _let_54))) (let ((_let_100 (not _let_55))) (let ((_let_101 (not _let_56))) (let ((_let_102 (not _let_57))) (let ((_let_103 (not _let_58))) (let ((_let_104 (not _let_59))) (let ((_let_105 (not _let_60))) (let ((_let_106 (not _let_61))) (let ((_let_107 (and _let_60 _let_106 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_50 _let_49 _let_48 _let_47 _let_45 _let_44 _let_41 _let_36 _let_33 _let_30 _let_29 _let_26))) (let ((_let_108 (APPLY_UF tptp.least_upper_bound))) (let ((_let_109 (ASSUME :args (_let_55)))) (let ((_let_110 (REFL :args (_let_5)))) (let ((_let_111 (ASSUME :args (_let_53)))) (let ((_let_112 (ASSUME :args (_let_44)))) (let ((_let_113 (ASSUME :args (_let_48)))) (let ((_let_114 (ASSUME :args (_let_30)))) (let ((_let_115 (ASSUME :args (_let_57)))) (let ((_let_116 (ASSUME :args (_let_58)))) (let ((_let_117 (SYMM _let_116))) (let ((_let_118 (ASSUME :args (_let_36)))) (let ((_let_119 (ASSUME :args (_let_50)))) (let ((_let_120 (REFL :args (tptp.identity)))) (let ((_let_121 (ASSUME :args (_let_29)))) (let ((_let_122 (ASSUME :args (_let_45)))) (let ((_let_123 (REFL :args (_let_39)))) (let ((_let_124 (ASSUME :args (_let_41)))) (let ((_let_125 (ASSUME :args (_let_52)))) (let ((_let_126 (ASSUME :args (_let_54)))) (let ((_let_127 (ASSUME :args (_let_49)))) (let ((_let_128 (ASSUME :args (_let_56)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (ASSUME :args (_let_47)))) (let ((_let_131 (CONG (REFL :args (_let_20)) (SYMM _let_130) :args _let_108))) (let ((_let_132 (ASSUME :args (_let_33)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (CONG (SYMM _let_83) _let_120 :args (APPLY_UF tptp.multiply)))) (let ((_let_135 (ASSUME :args (_let_59)))) (let ((_let_136 (SYMM (SYMM _let_135)))) (let ((_let_137 (REFL :args (_let_21)))) (let ((_let_138 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_21 tptp.identity _let_18 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_107)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_130 _let_132 _let_83 _let_135 _let_138 _let_84 _let_109 _let_111 _let_112 _let_113 _let_114 _let_116 _let_115 _let_118 _let_119 _let_121 _let_122 _let_124 _let_125 _let_126 _let_127) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_137 (TRANS (SYMM _let_138) _let_136 _let_134) :args _let_108) _let_133 _let_131 _let_129) (TRANS (CONG (TRANS (CONG _let_137 (TRANS _let_136 _let_134) :args _let_108) _let_133 _let_131 _let_129) (SYMM _let_127) :args _let_108) (SYMM _let_126) (CONG _let_120 _let_109 :args _let_108) (SYMM (SYMM _let_125)) (SYMM (SYMM _let_124)) (CONG _let_123 _let_122 :args _let_108) (CONG _let_123 (TRANS (SYMM _let_122) (CONG _let_120 _let_113 :args _let_108) (SYMM (SYMM _let_121)) (CONG (TRANS _let_117 (TRANS _let_116 (CONG _let_120 (SYMM (SYMM _let_119)) :args _let_108) (SYMM (SYMM _let_118)) (CONG _let_117 (SYMM _let_115) :args _let_108))) (REFL :args (_let_19)) :args _let_108) (SYMM _let_114) (CONG _let_110 (SYMM _let_113) :args _let_108)) :args _let_108) (SYMM _let_112) (SYMM _let_111) (CONG _let_110 (SYMM _let_109) :args _let_108)) :args (=)) (FALSE_INTRO _let_84))) :args (_let_56 _let_47 _let_33 _let_60 _let_59 _let_26 _let_106 _let_55 _let_53 _let_44 _let_48 _let_30 _let_58 _let_57 _let_36 _let_50 _let_29 _let_45 _let_41 _let_52 _let_54 _let_49))) :args (_let_60 _let_106 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_50 _let_49 _let_48 _let_47 _let_45 _let_44 _let_41 _let_36 _let_33 _let_30 _let_29 _let_26))) :args (true _let_107)) (CONG (REFL :args (_let_105)) (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_61))) (REFL :args (_let_104)) (REFL :args (_let_103)) (REFL :args (_let_102)) (REFL :args (_let_101)) (REFL :args (_let_100)) (REFL :args (_let_99)) (REFL :args (_let_98)) (REFL :args (_let_97)) (REFL :args (_let_96)) (REFL :args (_let_95)) (REFL :args (_let_94)) (REFL :args (_let_93)) (REFL :args (_let_92)) (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_62)) :args (or))) :args ((or _let_61 _let_105 _let_104 _let_103 _let_102 _let_101 _let_100 _let_99 _let_98 _let_97 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_62))) _let_84 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args (_let_81))) _let_82 :args (_let_59 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_4 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_58 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_4 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_57 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_2 tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_56 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.a tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_55 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.identity _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_54 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_5 _let_37 _let_39 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_24)) _let_25 :args (_let_53 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.identity _let_37 _let_39 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_24)) _let_25 :args (_let_52 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_4 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_50 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_49 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.a tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_48 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.a tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_47 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.identity _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_45 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_42 _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_44 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_38 _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_41 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.identity _let_4 _let_34 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_24)) _let_25 :args (_let_36 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_20 _let_19 _let_31 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_24)) _let_25 :args (_let_33 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_5 _let_4 _let_19 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_24)) _let_25 :args (_let_30 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.identity _let_4 _let_19 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_24)) _let_25 :args (_let_29 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.identity _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_26 false _let_63)) :args (_let_62 true _let_61 false _let_60 false _let_59 false _let_58 false _let_57 false _let_56 false _let_55 false _let_54 false _let_53 false _let_52 false _let_50 false _let_49 false _let_48 false _let_47 false _let_45 false _let_44 false _let_41 false _let_36 false _let_33 false _let_30 false _let_29 false _let_26)) _let_25 :args (false true _let_23 false _let_14)) :args ((forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) _let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))) _let_15 (forall ((X $$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_14 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_13 _let_12 _let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))) _let_10 (forall ((Y $$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_9 (forall ((X $$unsorted)) (= (tptp.inverse (tptp.inverse X)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.inverse (tptp.multiply X Y)) (tptp.multiply (tptp.inverse Y) (tptp.inverse X)))) _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.66 )
% 0.21/0.67 % SZS output end Proof for GRP185-2
% 0.21/0.67 % cvc5---1.0.5 exiting
% 0.21/0.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------