TSTP Solution File: GRP191-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP191-2 : 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 00:25:07 EDT 2023
% Result : Unsatisfiable 54.19s 54.41s
% Output : Proof 54.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP191-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 23:08:43 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.XuojqbKEMU/cvc5---1.0.5_5229.p...
% 0.21/0.51 ------- get file name : TPTP file name is GRP191-2
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5229.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.60/10.80 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.59/15.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.69/20.86 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.65/25.89 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.66/30.98 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.88/36.06 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.94/41.15 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.01/46.24 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.13/51.33 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 54.19/54.41 % SZS status Unsatisfiable for GRP191-2
% 54.19/54.41 % SZS output start Proof for GRP191-2
% 54.19/54.42 (
% 54.19/54.42 (let ((_let_1 (tptp.inverse tptp.b))) (let ((_let_2 (tptp.inverse tptp.a))) (let ((_let_3 (tptp.least_upper_bound _let_2 _let_1))) (let ((_let_4 (not (= _let_3 _let_1)))) (let ((_let_5 (tptp.greatest_lower_bound tptp.a tptp.b))) (let ((_let_6 (= _let_5 tptp.b))) (let ((_let_7 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_8 (forall ((X $$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)))))) (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 $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_14 (= tptp.b _let_5))) (let ((_let_15 (= _let_1 _let_3))) (let ((_let_16 (tptp.multiply _let_2 tptp.a))) (let ((_let_17 (= tptp.identity _let_16))) (let ((_let_18 (tptp.multiply _let_1 tptp.b))) (let ((_let_19 (= tptp.identity _let_18))) (let ((_let_20 (tptp.least_upper_bound _let_1 _let_2))) (let ((_let_21 (= _let_3 _let_20))) (let ((_let_22 (tptp.least_upper_bound tptp.a _let_5))) (let ((_let_23 (= tptp.a _let_22))) (let ((_let_24 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (let ((_let_25 (tptp.inverse tptp.identity))) (let ((_let_26 (tptp.multiply _let_25 tptp.identity))) (let ((_let_27 (= tptp.identity _let_26))) (let ((_let_28 (= (tptp.multiply _let_18 tptp.identity) (tptp.multiply _let_1 (tptp.multiply tptp.b tptp.identity))))) (let ((_let_29 (tptp.multiply _let_2 _let_5))) (let ((_let_30 (= (tptp.multiply _let_2 _let_22) (tptp.least_upper_bound _let_16 _let_29)))) (let ((_let_31 (tptp.inverse _let_1))) (let ((_let_32 (tptp.multiply _let_31 _let_1))) (let ((_let_33 (= tptp.identity _let_32))) (let ((_let_34 (= tptp.identity (tptp.least_upper_bound tptp.identity (tptp.greatest_lower_bound tptp.identity tptp.b))))) (let ((_let_35 (tptp.multiply tptp.identity _let_25))) (let ((_let_36 (= _let_25 _let_35))) (let ((_let_37 (= (tptp.multiply _let_26 _let_25) (tptp.multiply _let_25 _let_35)))) (let ((_let_38 (tptp.multiply _let_20 tptp.b))) (let ((_let_39 (= _let_38 (tptp.least_upper_bound _let_18 (tptp.multiply _let_2 tptp.b))))) (let ((_let_40 (= tptp.b (tptp.multiply tptp.identity tptp.b)))) (let ((_let_41 (tptp.multiply _let_5 tptp.identity))) (let ((_let_42 (= (tptp.multiply (tptp.multiply tptp.identity _let_5) tptp.identity) (tptp.multiply tptp.identity _let_41)))) (let ((_let_43 (tptp.multiply tptp.identity _let_1))) (let ((_let_44 (= _let_1 _let_43))) (let ((_let_45 (tptp.inverse _let_3))) (let ((_let_46 (tptp.multiply _let_45 _let_3))) (let ((_let_47 (= tptp.identity _let_46))) (let ((_let_48 (= (tptp.multiply _let_32 _let_5) (tptp.multiply _let_31 (tptp.multiply _let_1 _let_5))))) (let ((_let_49 (= (tptp.multiply _let_32 _let_41) (tptp.multiply _let_31 (tptp.multiply _let_1 _let_41))))) (let ((_let_50 (tptp.multiply tptp.identity _let_20))) (let ((_let_51 (= _let_20 _let_50))) (let ((_let_52 (= (tptp.multiply _let_26 _let_20) (tptp.multiply _let_25 _let_50)))) (let ((_let_53 (tptp.multiply _let_31 _let_16))) (let ((_let_54 (= (tptp.multiply _let_53 _let_20) (tptp.multiply _let_31 (tptp.multiply _let_16 _let_20))))) (let ((_let_55 (= (tptp.multiply _let_53 _let_25) (tptp.multiply _let_31 (tptp.multiply _let_16 _let_25))))) (let ((_let_56 (= (tptp.multiply _let_46 _let_5) (tptp.multiply _let_45 (tptp.multiply _let_3 _let_5))))) (let ((_let_57 (= (tptp.multiply (tptp.multiply _let_31 tptp.identity) _let_1) (tptp.multiply _let_31 _let_43)))) (let ((_let_58 (tptp.multiply _let_25 _let_20))) (let ((_let_59 (= (tptp.multiply (tptp.multiply _let_31 _let_25) _let_20) (tptp.multiply _let_31 _let_58)))) (let ((_let_60 (= (tptp.multiply (tptp.multiply _let_45 _let_25) _let_20) (tptp.multiply _let_45 _let_58)))) (let ((_let_61 (tptp.inverse _let_25))) (let ((_let_62 (tptp.multiply _let_61 _let_25))) (let ((_let_63 (= tptp.identity _let_62))) (let ((_let_64 (= (tptp.multiply _let_38 _let_1) (tptp.multiply _let_20 (tptp.multiply tptp.b _let_1))))) (let ((_let_65 (= (tptp.multiply _let_20 (tptp.multiply tptp.b _let_20)) (tptp.multiply _let_38 _let_20)))) (let ((_let_66 (= (tptp.multiply _let_62 _let_25) (tptp.multiply _let_61 (tptp.multiply _let_25 _let_25))))) (let ((_let_67 (SYMM (ASSUME :args (_let_6))))) (let ((_let_68 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 ((tptp.inverse X)))) (let ((_let_72 (_let_10))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 (tptp.identity QUANTIFIERS_INST_ENUM))) (let ((_let_81 (_let_11))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_84 (_let_8))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (_let_1 QUANTIFIERS_INST_ENUM))) (let ((_let_87 (_let_7))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_90 (and _let_14 _let_17 _let_19 _let_21 _let_23 _let_24 _let_27 _let_28 _let_30 _let_33 _let_34 _let_36 _let_37 _let_39 _let_40 _let_42 _let_44 _let_47 _let_48 _let_49 _let_51 _let_52 _let_54 _let_55 _let_56 _let_57 _let_59 _let_60 _let_63 _let_64 _let_65 _let_66))) (let ((_let_91 (ASSUME :args (_let_21)))) (let ((_let_92 (SYMM _let_91))) (let ((_let_93 (ASSUME :args (_let_51)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (APPLY_UF tptp.multiply))) (let ((_let_96 (REFL :args (_let_20)))) (let ((_let_97 (ASSUME :args (_let_17)))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (ASSUME :args (_let_23)))) (let ((_let_100 (REFL :args (_let_2)))) (let ((_let_101 (CONG _let_100 (SYMM _let_99) :args _let_95))) (let ((_let_102 (ASSUME :args (_let_30)))) (let ((_let_103 (APPLY_UF tptp.least_upper_bound))) (let ((_let_104 (ASSUME :args (_let_34)))) (let ((_let_105 (CONG (TRANS (SYMM _let_104) _let_97) (REFL :args (_let_29)) :args _let_103))) (let ((_let_106 (SYMM _let_67))) (let ((_let_107 (SYMM _let_106))) (let ((_let_108 (ASSUME :args (_let_19)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (CONG (TRANS _let_109 _let_104) (CONG _let_100 _let_107 :args _let_95) :args _let_103))) (let ((_let_111 (ASSUME :args (_let_39)))) (let ((_let_112 (SYMM _let_111))) (let ((_let_113 (TRANS (SYMM _let_112) _let_110 _let_105 (SYMM _let_102) _let_101 _let_98))) (let ((_let_114 (ASSUME :args (_let_65)))) (let ((_let_115 (ASSUME :args (_let_40)))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (REFL :args (tptp.identity)))) (let ((_let_118 (CONG _let_117 _let_106 :args _let_95))) (let ((_let_119 (REFL :args (_let_5)))) (let ((_let_120 (ASSUME :args (_let_33)))) (let ((_let_121 (SYMM _let_120))) (let ((_let_122 (CONG _let_121 _let_119 :args _let_95))) (let ((_let_123 (ASSUME :args (_let_48)))) (let ((_let_124 (SYMM _let_123))) (let ((_let_125 (REFL :args (_let_1)))) (let ((_let_126 (REFL :args (_let_31)))) (let ((_let_127 (CONG _let_126 (TRANS _let_98 _let_108 (CONG _let_125 _let_107 :args _let_95)) :args _let_95))) (let ((_let_128 (TRANS _let_127 _let_124 _let_122 _let_118 _let_116))) (let ((_let_129 (CONG _let_128 _let_96 :args _let_95))) (let ((_let_130 (ASSUME :args (_let_54)))) (let ((_let_131 (CONG _let_126 (TRANS _let_93 (CONG _let_97 _let_96 :args _let_95)) :args _let_95))) (let ((_let_132 (ASSUME :args (_let_27)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (ASSUME :args (_let_52)))) (let ((_let_135 (REFL :args (_let_25)))) (let ((_let_136 (TRANS (CONG _let_135 _let_93 :args _let_95) (SYMM _let_134) (CONG _let_133 _let_96 :args _let_95) _let_94))) (let ((_let_137 (CONG _let_126 _let_136 :args _let_95))) (let ((_let_138 (ASSUME :args (_let_59)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (ASSUME :args (_let_36)))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (ASSUME :args (_let_55)))) (let ((_let_143 (ASSUME :args (_let_24)))) (let ((_let_144 (ASSUME :args (_let_28)))) (let ((_let_145 (CONG (REFL :args (tptp.b)) _let_121 :args _let_95))) (let ((_let_146 (ASSUME :args (_let_49)))) (let ((_let_147 (ASSUME :args (_let_42)))) (let ((_let_148 (SYMM _let_118))) (let ((_let_149 (CONG (TRANS (CONG (TRANS (SYMM _let_145) (CONG (TRANS _let_115 _let_148) _let_121 :args _let_95) (SYMM (SYMM _let_147)) (CONG _let_120 (REFL :args (_let_41)) :args _let_95) (SYMM (SYMM _let_146)) (CONG _let_126 (TRANS (CONG _let_125 (TRANS (CONG _let_106 _let_120 :args _let_95) _let_145) :args _let_95) (SYMM _let_144) (CONG _let_109 _let_117 :args _let_95) (SYMM _let_143) _let_97) :args _let_95) _let_127 _let_124 _let_122 _let_118 _let_116) _let_135 :args _let_95) (TRANS (CONG (SYMM _let_128) _let_135 :args _let_95) (SYMM (SYMM _let_142)) (CONG _let_126 (TRANS (CONG _let_98 _let_135 :args _let_95) _let_141) :args _let_95))) _let_96 :args _let_95))) (let ((_let_150 (ASSUME :args (_let_47)))) (let ((_let_151 (ASSUME :args (_let_56)))) (let ((_let_152 (ASSUME :args (_let_63)))) (let ((_let_153 (ASSUME :args (_let_37)))) (let ((_let_154 (ASSUME :args (_let_66)))) (let ((_let_155 (REFL :args (_let_45)))) (let ((_let_156 (ASSUME :args (_let_60)))) (let ((_let_157 (ASSUME :args (_let_44)))) (let ((_let_158 (ASSUME :args (_let_57)))) (let ((_let_159 (ASSUME :args (_let_64)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_93 _let_97 _let_99 _let_102 _let_104 _let_108 _let_67 _let_111 _let_114 _let_115 _let_120 _let_123 _let_130 _let_132 _let_134 _let_138 _let_140 _let_142 _let_143 _let_144 _let_146 _let_147 _let_150 _let_151 _let_152 _let_153 _let_154 _let_156 _let_157 _let_158 _let_159) (SCOPE (TRANS _let_157 (CONG (SYMM _let_113) _let_125 :args _let_95) (SYMM (SYMM _let_159)) (CONG _let_92 (TRANS (CONG (TRANS _let_115 _let_148 (SYMM _let_122) _let_123 (SYMM _let_127) (CONG _let_126 _let_98 :args _let_95)) _let_125 :args _let_95) (SYMM (SYMM _let_158)) (CONG _let_126 (SYMM _let_157) :args _let_95) _let_121) :args _let_95) (CONG _let_91 (TRANS _let_150 (CONG _let_155 _let_91 :args _let_95) (CONG _let_155 (SYMM _let_136) :args _let_95) (SYMM _let_156) (CONG (TRANS (CONG _let_155 (TRANS _let_140 (CONG _let_152 _let_135 :args _let_95) (SYMM (SYMM _let_154)) (CONG (REFL :args (_let_61)) (TRANS (CONG _let_135 _let_140 :args _let_95) (SYMM _let_153) (CONG _let_133 _let_135 :args _let_95) _let_141) :args _let_95) (SYMM _let_152) _let_97 (SYMM _let_101) _let_102 (SYMM _let_105) (SYMM _let_110) _let_112 (CONG _let_92 _let_107 :args _let_95)) :args _let_95) (SYMM _let_151) (CONG (SYMM _let_150) _let_119 :args _let_95) _let_118 _let_116) _let_96 :args _let_95) (SYMM _let_129) _let_130 (SYMM _let_131) (SYMM _let_137) _let_139 (SYMM _let_149)) :args _let_95) (CONG _let_96 (TRANS _let_149 (SYMM _let_139) _let_137 _let_131 (SYMM _let_130) _let_129) :args _let_95) (SYMM (SYMM _let_114)) (CONG _let_113 _let_96 :args _let_95) _let_94 _let_92) :args (_let_21 _let_51 _let_17 _let_23 _let_30 _let_34 _let_19 _let_14 _let_39 _let_65 _let_40 _let_33 _let_48 _let_54 _let_27 _let_52 _let_59 _let_36 _let_55 _let_24 _let_28 _let_49 _let_42 _let_47 _let_56 _let_63 _let_37 _let_66 _let_60 _let_44 _let_57 _let_64))) :args (_let_14 _let_17 _let_19 _let_21 _let_23 _let_24 _let_27 _let_28 _let_30 _let_33 _let_34 _let_36 _let_37 _let_39 _let_40 _let_42 _let_44 _let_47 _let_48 _let_49 _let_51 _let_52 _let_54 _let_55 _let_56 _let_57 _let_59 _let_60 _let_63 _let_64 _let_65 _let_66))) :args (true _let_90)) :args ((or _let_15 (not _let_14) (not _let_17) (not _let_19) (not _let_21) (not _let_23) (not _let_24) (not _let_27) (not _let_28) (not _let_30) (not _let_33) (not _let_34) (not _let_36) (not _let_37) (not _let_39) (not _let_40) (not _let_42) (not _let_44) (not _let_47) (not _let_48) (not _let_49) (not _let_51) (not _let_52) (not _let_54) (not _let_55) (not _let_56) (not _let_57) (not _let_59) (not _let_60) (not _let_63) (not _let_64) (not _let_65) (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_61 _let_25 _let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81)) _let_82 :args (_let_66 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_20 tptp.b _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81))) _let_82 :args (_let_65 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_20 tptp.b _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81)) _let_82 :args (_let_64 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_25 QUANTIFIERS_INST_ENUM)) :args _let_70)) _let_69 :args (_let_63 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_45 _let_25 _let_20 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_81)) _let_82 :args (_let_60 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_31 _let_25 _let_20 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_81)) _let_82 :args (_let_59 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_31 tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_81)) _let_82 :args (_let_57 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_45 _let_3 _let_5 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_56 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_31 _let_16 _let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81)) _let_82 :args (_let_55 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_31 _let_16 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81)) _let_82 :args (_let_54 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_25 tptp.identity _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81)) _let_82 :args (_let_52 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_79)) _let_78 :args (_let_51 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_31 _let_1 _let_41 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81)) _let_82 :args (_let_49 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_31 _let_1 _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81)) _let_82 :args (_let_48 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_3 QUANTIFIERS_INST_ENUM)) :args _let_70)) _let_69 :args (_let_47 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_86) :args _let_79)) _let_78 :args (_let_44 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.identity _let_5 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_42 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.b QUANTIFIERS_INST_ENUM)) :args _let_79)) _let_78 :args (_let_40 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_1 _let_2 tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X))))) :args _let_87)) _let_88 :args (_let_39 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_25 tptp.identity _let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_81)) _let_82 :args (_let_37 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_79)) _let_78 :args (_let_36 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.identity tptp.b QUANTIFIERS_INST_ENUM)) :args _let_76)) _let_75 :args (_let_34 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args _let_86) :args _let_70)) _let_69 :args (_let_33 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_2 tptp.a _let_5 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.least_upper_bound Y Z))))) :args _let_84)) _let_85 :args (_let_30 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_1 tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_28 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args _let_80) :args _let_70)) _let_69 :args (_let_27 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_80) :args _let_79)) _let_78 :args (_let_24 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args _let_76)) _let_75 :args (_let_23 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args _let_72)) _let_73 :args (_let_21 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_19 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_17 false _let_68)) (SYMM (ASSUME :args (_let_4))) _let_67 :args (false false _let_66 false _let_65 false _let_64 false _let_63 false _let_60 false _let_59 false _let_57 false _let_56 false _let_55 false _let_54 false _let_52 false _let_51 false _let_49 false _let_48 false _let_47 false _let_44 false _let_42 false _let_40 false _let_39 false _let_37 false _let_36 false _let_34 false _let_33 false _let_30 false _let_28 false _let_27 false _let_24 false _let_23 false _let_21 false _let_19 false _let_17 true _let_15 false _let_14)) :args (_let_13 _let_12 _let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))) _let_10 (forall ((X $$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 $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)) _let_8 (forall ((X $$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_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_6 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 54.19/54.42 )
% 54.19/54.43 % SZS output end Proof for GRP191-2
% 54.19/54.43 % cvc5---1.0.5 exiting
% 54.19/54.43 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------