TSTP Solution File: GRP190-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP190-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 00:25:06 EDT 2023
% Result : Unsatisfiable 53.10s 53.34s
% Output : Proof 53.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP190-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.10 % Command : do_cvc5 %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Aug 28 21:57:46 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.39 %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.39 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4F8xi7Xme9/cvc5---1.0.5_2505.p...
% 0.14/0.40 ------- get file name : TPTP file name is GRP190-2
% 0.14/0.40 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2505.smt2...
% 0.14/0.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.69 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.48/15.73 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.56/20.76 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.54/25.79 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.65/30.86 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.74/35.95 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.66/41.04 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.75/46.13 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.88/51.21 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 53.10/53.34 % SZS status Unsatisfiable for GRP190-2
% 53.10/53.34 % SZS output start Proof for GRP190-2
% 53.10/53.35 (
% 53.10/53.35 (let ((_let_1 (tptp.inverse tptp.a))) (let ((_let_2 (tptp.inverse tptp.b))) (let ((_let_3 (tptp.greatest_lower_bound _let_1 _let_2))) (let ((_let_4 (not (= _let_3 _let_1)))) (let ((_let_5 (tptp.least_upper_bound tptp.a tptp.b))) (let ((_let_6 (= _let_5 tptp.a))) (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.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.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)))) (let ((_let_12 (forall ((X $$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 (tptp.multiply _let_1 tptp.b))) (let ((_let_18 (tptp.multiply _let_2 tptp.b))) (let ((_let_19 (tptp.multiply _let_18 _let_2))) (let ((_let_20 (tptp.greatest_lower_bound _let_18 _let_17))) (let ((_let_21 (= (tptp.multiply _let_20 _let_2) (tptp.greatest_lower_bound _let_19 (tptp.multiply _let_17 _let_2))))) (let ((_let_22 (_let_7))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (tptp.inverse _let_2))) (let ((_let_25 (tptp.multiply _let_1 _let_24))) (let ((_let_26 (tptp.multiply _let_25 _let_18))) (let ((_let_27 (= (tptp.multiply _let_26 _let_2) (tptp.multiply _let_25 _let_19)))) (let ((_let_28 (tptp.multiply _let_1 tptp.a))) (let ((_let_29 (= (tptp.multiply _let_28 _let_1) (tptp.multiply _let_1 (tptp.multiply tptp.a _let_1))))) (let ((_let_30 (= _let_2 (tptp.multiply tptp.identity _let_2)))) (let ((_let_31 (tptp.multiply tptp.identity _let_1))) (let ((_let_32 (tptp.inverse _let_1))) (let ((_let_33 (= (tptp.multiply (tptp.multiply _let_32 tptp.identity) _let_1) (tptp.multiply _let_32 _let_31)))) (let ((_let_34 (tptp.multiply _let_25 _let_2))) (let ((_let_35 (= (tptp.multiply _let_34 tptp.b) _let_26))) (let ((_let_36 (tptp.multiply tptp.b tptp.identity))) (let ((_let_37 (tptp.multiply _let_2 _let_36))) (let ((_let_38 (tptp.multiply _let_24 _let_2))) (let ((_let_39 (= (tptp.multiply _let_38 _let_36) (tptp.multiply _let_24 _let_37)))) (let ((_let_40 (= _let_1 _let_31))) (let ((_let_41 (tptp.greatest_lower_bound _let_2 _let_1))) (let ((_let_42 (= (tptp.multiply _let_41 tptp.b) _let_20))) (let ((_let_43 (= _let_34 (tptp.multiply _let_1 _let_38)))) (let ((_let_44 (tptp.multiply tptp.identity tptp.b))) (let ((_let_45 (= (tptp.multiply (tptp.multiply _let_1 tptp.identity) tptp.b) (tptp.multiply _let_1 _let_44)))) (let ((_let_46 (= (tptp.multiply _let_38 tptp.b) (tptp.multiply _let_24 _let_18)))) (let ((_let_47 (= (tptp.multiply _let_44 tptp.identity) (tptp.multiply tptp.identity _let_36)))) (let ((_let_48 (= (tptp.multiply _let_3 tptp.b) (tptp.greatest_lower_bound _let_17 _let_18)))) (let ((_let_49 (= tptp.identity _let_38))) (let ((_let_50 (= tptp.b _let_44))) (let ((_let_51 (tptp.least_upper_bound _let_17 _let_28))) (let ((_let_52 (= _let_17 (tptp.greatest_lower_bound _let_17 _let_51)))) (let ((_let_53 (tptp.multiply _let_32 _let_1))) (let ((_let_54 (= (tptp.multiply _let_53 tptp.a) (tptp.multiply _let_32 _let_28)))) (let ((_let_55 (= _let_3 (tptp.least_upper_bound _let_3 _let_3)))) (let ((_let_56 (= tptp.identity _let_53))) (let ((_let_57 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_58 (tptp.least_upper_bound tptp.b tptp.a))) (let ((_let_59 (= (tptp.multiply _let_1 _let_58) _let_51))) (let ((_let_60 (= _let_1 (tptp.greatest_lower_bound _let_1 (tptp.least_upper_bound _let_1 _let_3))))) (let ((_let_61 (= _let_2 (tptp.least_upper_bound _let_2 _let_41)))) (let ((_let_62 (= (tptp.multiply _let_18 tptp.identity) _let_37))) (let ((_let_63 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (let ((_let_64 (= _let_5 _let_58))) (let ((_let_65 (= _let_3 _let_41))) (let ((_let_66 (= tptp.identity _let_18))) (let ((_let_67 (= tptp.identity _let_28))) (let ((_let_68 (= tptp.a _let_5))) (let ((_let_69 (= _let_1 _let_3))) (let ((_let_70 (not _let_21))) (let ((_let_71 (_let_14))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 (_let_2 QUANTIFIERS_INST_ENUM))) (let ((_let_77 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_78 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_79 (_let_1 QUANTIFIERS_INST_ENUM))) (let ((_let_80 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (_let_83))) (let ((_let_86 ((tptp.least_upper_bound X Y)))) (let ((_let_87 (forall ((X $$unsorted)) (= X (tptp.least_upper_bound X X))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_8))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_12))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (_let_13))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 ((tptp.inverse X)))) (let ((_let_98 (SYMM (ASSUME :args (_let_6))))) (let ((_let_99 (SYMM (ASSUME :args (_let_4))))) (let ((_let_100 (not _let_27))) (let ((_let_101 (not _let_29))) (let ((_let_102 (not _let_30))) (let ((_let_103 (not _let_33))) (let ((_let_104 (not _let_35))) (let ((_let_105 (not _let_39))) (let ((_let_106 (not _let_40))) (let ((_let_107 (not _let_42))) (let ((_let_108 (not _let_43))) (let ((_let_109 (not _let_45))) (let ((_let_110 (not _let_46))) (let ((_let_111 (not _let_47))) (let ((_let_112 (not _let_48))) (let ((_let_113 (not _let_49))) (let ((_let_114 (not _let_50))) (let ((_let_115 (not _let_52))) (let ((_let_116 (not _let_54))) (let ((_let_117 (not _let_55))) (let ((_let_118 (not _let_56))) (let ((_let_119 (not _let_57))) (let ((_let_120 (not _let_59))) (let ((_let_121 (not _let_60))) (let ((_let_122 (not _let_61))) (let ((_let_123 (not _let_62))) (let ((_let_124 (not _let_63))) (let ((_let_125 (not _let_64))) (let ((_let_126 (not _let_65))) (let ((_let_127 (not _let_66))) (let ((_let_128 (not _let_67))) (let ((_let_129 (not _let_68))) (let ((_let_130 (not _let_69))) (let ((_let_131 (and _let_68 _let_130 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_57 _let_56 _let_55 _let_54 _let_52 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_43 _let_42 _let_40 _let_39 _let_35 _let_33 _let_30 _let_29 _let_27))) (let ((_let_132 (ASSUME :args (_let_65)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_135 (ASSUME :args (_let_60)))) (let ((_let_136 (REFL :args (_let_2)))) (let ((_let_137 (ASSUME :args (_let_61)))) (let ((_let_138 (ASSUME :args (_let_40)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (APPLY_UF tptp.multiply))) (let ((_let_141 (REFL :args (_let_1)))) (let ((_let_142 (ASSUME :args (_let_67)))) (let ((_let_143 (CONG (SYMM _let_142) _let_141 :args _let_140))) (let ((_let_144 (ASSUME :args (_let_29)))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (ASSUME :args (_let_57)))) (let ((_let_147 (ASSUME :args (_let_56)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (ASSUME :args (_let_54)))) (let ((_let_150 (REFL :args (_let_32)))) (let ((_let_151 (ASSUME :args (_let_33)))) (let ((_let_152 (CONG _let_141 (TRANS _let_147 (CONG _let_150 _let_138 :args _let_140) (SYMM _let_151) (CONG (TRANS (CONG _let_150 _let_142 :args _let_140) (SYMM _let_149) (CONG _let_148 (REFL :args (tptp.a)) :args _let_140) (SYMM _let_146)) _let_141 :args _let_140)) :args _let_140))) (let ((_let_153 (ASSUME :args (_let_49)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (CONG _let_141 _let_154 :args _let_140))) (let ((_let_156 (ASSUME :args (_let_43)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (ASSUME :args (_let_30)))) (let ((_let_160 (ASSUME :args (_let_66)))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (TRANS (CONG _let_161 _let_136 :args _let_140) (SYMM _let_159)))) (let ((_let_163 (CONG (REFL :args (_let_25)) _let_162 :args _let_140))) (let ((_let_164 (ASSUME :args (_let_27)))) (let ((_let_165 (SYMM (SYMM _let_164)))) (let ((_let_166 (ASSUME :args (_let_35)))) (let ((_let_167 (REFL :args (tptp.b)))) (let ((_let_168 (ASSUME :args (_let_45)))) (let ((_let_169 (ASSUME :args (_let_50)))) (let ((_let_170 (SYMM _let_169))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (ASSUME :args (_let_52)))) (let ((_let_173 (ASSUME :args (_let_59)))) (let ((_let_174 (ASSUME :args (_let_64)))) (let ((_let_175 (CONG (REFL :args (_let_17)) (TRANS _let_161 _let_142 (CONG _let_141 (TRANS (SYMM (SYMM _let_98)) (SYMM (SYMM _let_174))) :args _let_140) (SYMM (SYMM _let_173))) :args _let_134))) (let ((_let_176 (ASSUME :args (_let_48)))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (CONG _let_133 _let_167 :args _let_140))) (let ((_let_179 (ASSUME :args (_let_46)))) (let ((_let_180 (ASSUME :args (_let_63)))) (let ((_let_181 (ASSUME :args (_let_62)))) (let ((_let_182 (ASSUME :args (_let_39)))) (let ((_let_183 (REFL :args (_let_36)))) (let ((_let_184 (ASSUME :args (_let_47)))) (let ((_let_185 (ASSUME :args (_let_55)))) (let ((_let_186 (TRANS (SYMM _let_185) _let_132))) (let ((_let_187 (TRANS (CONG (SYMM _let_186) _let_183 :args _let_140) (CONG _let_186 (TRANS (CONG _let_167 _let_147 :args _let_140) (CONG _let_171 _let_148 :args _let_140) (SYMM (SYMM _let_184)) (CONG _let_153 _let_183 :args _let_140) (SYMM (SYMM _let_182)) (CONG (REFL :args (_let_24)) (TRANS (SYMM _let_181) (CONG _let_161 (REFL :args (tptp.identity)) :args _let_140) (SYMM _let_180) _let_160) :args _let_140) (SYMM _let_179) (CONG _let_154 _let_167 :args _let_140) _let_170) :args _let_140)))) (let ((_let_188 (CONG (TRANS _let_187 (TRANS _let_178 (SYMM _let_177) _let_175 (SYMM _let_172) (CONG _let_141 _let_171 :args _let_140) (SYMM _let_168) (CONG (TRANS (SYMM _let_155) _let_157) _let_167 :args _let_140) (SYMM (SYMM _let_166)))) _let_136 :args _let_140))) (let ((_let_189 (SYMM _let_187))) (let ((_let_190 (ASSUME :args (_let_42)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_18 _let_17 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_138 _let_142 _let_144 _let_146 _let_147 _let_149 _let_151 _let_153 _let_156 _let_159 _let_160 _let_164 _let_166 _let_168 _let_169 _let_172 _let_173 _let_174 _let_98 _let_176 _let_132 _let_185 _let_179 _let_180 _let_181 _let_182 _let_184 _let_190 _let_99 _let_135 _let_137) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS (SYMM _let_190) _let_189) _let_136 :args _let_140) _let_188 _let_165 _let_163 _let_158 _let_155 _let_152 _let_145 _let_143 _let_139) (TRANS (CONG (TRANS _let_162 _let_137) (TRANS (CONG (TRANS (TRANS _let_172 (SYMM _let_175) _let_177 (SYMM _let_178)) _let_189) _let_136 :args _let_140) _let_188 _let_165 _let_163 _let_158 _let_155 _let_152 _let_145 _let_143 _let_139) :args _let_134) (CONG (SYMM _let_137) _let_135 :args _let_134) (CONG _let_136 (SYMM _let_135) :args _let_134) _let_133) :args (=)) (FALSE_INTRO _let_99))) :args (_let_40 _let_67 _let_29 _let_57 _let_56 _let_54 _let_33 _let_49 _let_43 _let_30 _let_66 _let_27 _let_35 _let_45 _let_50 _let_52 _let_59 _let_64 _let_68 _let_48 _let_65 _let_55 _let_46 _let_63 _let_62 _let_39 _let_47 _let_42 _let_130 _let_60 _let_61))) :args (_let_68 _let_130 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_57 _let_56 _let_55 _let_54 _let_52 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_43 _let_42 _let_40 _let_39 _let_35 _let_33 _let_30 _let_29 _let_27))) :args (true _let_131)) (CONG (REFL :args (_let_129)) (MACRO_SR_PRED_INTRO :args ((= (not _let_130) _let_69))) (REFL :args (_let_128)) (REFL :args (_let_127)) (REFL :args (_let_126)) (REFL :args (_let_125)) (REFL :args (_let_124)) (REFL :args (_let_123)) (REFL :args (_let_122)) (REFL :args (_let_121)) (REFL :args (_let_120)) (REFL :args (_let_119)) (REFL :args (_let_118)) (REFL :args (_let_117)) (REFL :args (_let_116)) (REFL :args (_let_115)) (REFL :args (_let_114)) (REFL :args (_let_113)) (REFL :args (_let_112)) (REFL :args (_let_111)) (REFL :args (_let_110)) (REFL :args (_let_109)) (REFL :args (_let_108)) (REFL :args (_let_107)) (REFL :args (_let_106)) (REFL :args (_let_105)) (REFL :args (_let_104)) (REFL :args (_let_103)) (REFL :args (_let_102)) (REFL :args (_let_101)) (REFL :args (_let_100)) (REFL :args (_let_70)) :args (or))) :args ((or _let_69 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105 _let_104 _let_103 _let_102 _let_101 _let_100 _let_70))) _let_99 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_82)) _let_81 :args (_let_67 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_82)) _let_81 :args (_let_66 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args _let_95)) _let_96 :args (_let_65 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args _let_93)) _let_94 :args (_let_64 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_75)) _let_74 :args (_let_63 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_2 tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_71)) _let_72 :args (_let_62 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args (_let_91))) _let_92 :args (_let_61 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_85)) _let_84 :args (_let_60 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_1 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.least_upper_bound Y Z))))) :args _let_89)) _let_90 :args (_let_59 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_75)) _let_74 :args (_let_57 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args _let_79) :args _let_82)) _let_81 :args (_let_56 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_3 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_87))) _let_88 :args (_let_55 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_32 _let_1 tptp.a QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_71)) _let_72 :args (_let_54 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_17 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_85)) _let_84 :args (_let_52 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b QUANTIFIERS_INST_ENUM)) :args _let_75)) _let_74 :args (_let_50 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args _let_76) :args _let_82)) _let_81 :args (_let_49 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_1 _let_2 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_22)) _let_23 :args (_let_48 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.identity tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_71)) _let_72 :args (_let_47 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_24 _let_2 tptp.b QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_71)) _let_72 :args (_let_46 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_1 tptp.identity tptp.b QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_71)) _let_72 :args (_let_45 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_1 _let_24 _let_2 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_71)) _let_72 :args (_let_43 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_2 _let_1 tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.greatest_lower_bound Y Z) X)))) :args _let_22)) _let_23 :args (_let_42 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_79) :args _let_75)) _let_74 :args (_let_40 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_24 _let_2 _let_36 QUANTIFIERS_INST_CBQI_PROP)) :args _let_71)) _let_72 :args (_let_39 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_25 _let_2 tptp.b QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_71)) _let_72 :args (_let_35 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_32 tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_71)) _let_72 :args (_let_33 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_76) :args _let_75)) _let_74 :args (_let_30 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_1 tptp.a _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_71)) _let_72 :args (_let_29 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_25 _let_18 _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_71)) _let_72 :args (_let_27 false _let_14)) :args (_let_70 true _let_69 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63 false _let_62 false _let_61 false _let_60 false _let_59 false _let_57 false _let_56 false _let_55 false _let_54 false _let_52 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_43 false _let_42 false _let_40 false _let_39 false _let_35 false _let_33 false _let_30 false _let_29 false _let_27)) _let_23 :args (false true _let_21 false _let_7)) :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 $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))) _let_11 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_10 _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))) (forall ((Y $$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_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 53.10/53.35 )
% 53.10/53.36 % SZS output end Proof for GRP190-2
% 53.10/53.36 % cvc5---1.0.5 exiting
% 53.10/53.36 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------