%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP183-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 00:25:03 EDT 2023

% Result   : Unsatisfiable 9.73s 9.99s
% Output   : Proof 9.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP183-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 28 21:12:04 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6X2msmIxyN/cvc5---1.0.5_11233.p...
% 0.21/0.49  ------- get file name : TPTP file name is GRP183-2
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11233.smt2...
% 0.21/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 9.73/9.99  % SZS status Unsatisfiable for GRP183-2
% 9.73/9.99  % SZS output start Proof for GRP183-2
% 9.80/10.06  (
% 9.80/10.06  (let ((_let_1 (tptp.greatest_lower_bound tptp.a tptp.identity))) (let ((_let_2 (tptp.inverse _let_1))) (let ((_let_3 (tptp.least_upper_bound tptp.a tptp.identity))) (let ((_let_4 (tptp.greatest_lower_bound _let_3 _let_2))) (let ((_let_5 (not (= _let_4 tptp.identity)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.inverse (tptp.multiply X Y)) (tptp.multiply (tptp.inverse Y) (tptp.inverse X)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.inverse (tptp.inverse X)) X)))) (let ((_let_8 (tptp.inverse tptp.identity))) (let ((_let_9 (= _let_8 tptp.identity))) (let ((_let_10 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_12 (forall ((X $$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_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 $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_16 (forall ((X $$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_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_20 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_21 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_22 (= tptp.identity _let_8))) (let ((_let_23 (= tptp.identity _let_4))) (let ((_let_24 (= tptp.identity (tptp.multiply _let_8 tptp.identity)))) (let ((_let_25 (tptp.multiply _let_2 _let_1))) (let ((_let_26 (= tptp.identity _let_25))) (let ((_let_27 (= _let_1 (tptp.greatest_lower_bound tptp.identity tptp.a)))) (let ((_let_28 (tptp.greatest_lower_bound _let_2 _let_3))) (let ((_let_29 (= _let_4 _let_28))) (let ((_let_30 (tptp.least_upper_bound tptp.identity tptp.a))) (let ((_let_31 (= _let_3 _let_30))) (let ((_let_32 (tptp.least_upper_bound tptp.a _let_1))) (let ((_let_33 (= tptp.a _let_32))) (let ((_let_34 (tptp.least_upper_bound _let_3 _let_4))) (let ((_let_35 (= _let_3 _let_34))) (let ((_let_36 (= tptp.a (tptp.greatest_lower_bound tptp.a _let_3)))) (let ((_let_37 (= _let_34 (tptp.least_upper_bound _let_4 _let_3)))) (let ((_let_38 (tptp.greatest_lower_bound tptp.identity _let_30))) (let ((_let_39 (= tptp.identity _let_38))) (let ((_let_40 (tptp.greatest_lower_bound tptp.a _let_32))) (let ((_let_41 (= tptp.a _let_40))) (let ((_let_42 (= _let_3 (tptp.greatest_lower_bound _let_3 _let_34)))) (let ((_let_43 (tptp.multiply _let_2 tptp.identity))) (let ((_let_44 (tptp.multiply _let_2 tptp.a))) (let ((_let_45 (tptp.greatest_lower_bound _let_44 _let_43))) (let ((_let_46 (= _let_25 _let_45))) (let ((_let_47 (tptp.inverse _let_2))) (let ((_let_48 (tptp.multiply _let_2 _let_47))) (let ((_let_49 (= (tptp.inverse _let_25) _let_48))) (let ((_let_50 (tptp.multiply tptp.identity _let_2))) (let ((_let_51 (= _let_2 _let_50))) (let ((_let_52 (tptp.multiply _let_47 _let_2))) (let ((_let_53 (= tptp.identity _let_52))) (let ((_let_54 (= (tptp.multiply _let_48 _let_2) (tptp.multiply _let_2 _let_52)))) (let ((_let_55 (tptp.multiply _let_2 _let_2))) (let ((_let_56 (tptp.multiply _let_55 _let_47))) (let ((_let_57 (= _let_56 (tptp.multiply _let_2 _let_48)))) (let ((_let_58 (= _let_38 (tptp.greatest_lower_bound _let_30 tptp.identity)))) (let ((_let_59 (tptp.greatest_lower_bound _let_3 _let_3))) (let ((_let_60 (= (tptp.greatest_lower_bound _let_2 _let_59) (tptp.greatest_lower_bound _let_28 _let_3)))) (let ((_let_61 (tptp.greatest_lower_bound _let_3 _let_44))) (let ((_let_62 (tptp.greatest_lower_bound _let_61 _let_43))) (let ((_let_63 (= (tptp.greatest_lower_bound _let_3 _let_45) _let_62))) (let ((_let_64 (tptp.least_upper_bound _let_44 _let_45))) (let ((_let_65 (= _let_44 _let_64))) (let ((_let_66 (tptp.multiply _let_2 _let_32))) (let ((_let_67 (tptp.greatest_lower_bound _let_44 _let_66))) (let ((_let_68 (= (tptp.multiply _let_2 _let_40) _let_67))) (let ((_let_69 (tptp.multiply _let_43 tptp.identity))) (let ((_let_70 (tptp.multiply _let_44 tptp.identity))) (let ((_let_71 (tptp.greatest_lower_bound _let_70 _let_69))) (let ((_let_72 (= (tptp.multiply _let_45 tptp.identity) _let_71))) (let ((_let_73 (tptp.multiply _let_43 _let_2))) (let ((_let_74 (tptp.multiply _let_44 _let_2))) (let ((_let_75 (tptp.greatest_lower_bound _let_74 _let_73))) (let ((_let_76 (= (tptp.multiply _let_45 _let_2) _let_75))) (let ((_let_77 (= _let_1 _let_47))) (let ((_let_78 (= _let_28 (tptp.multiply tptp.identity _let_28)))) (let ((_let_79 (tptp.multiply tptp.identity _let_44))) (let ((_let_80 (= _let_44 _let_79))) (let ((_let_81 (tptp.multiply _let_47 _let_1))) (let ((_let_82 (tptp.multiply _let_55 _let_81))) (let ((_let_83 (= (tptp.multiply _let_56 _let_1) _let_82))) (let ((_let_84 (tptp.multiply _let_47 tptp.a))) (let ((_let_85 (tptp.multiply _let_55 _let_84))) (let ((_let_86 (= (tptp.multiply _let_56 tptp.a) _let_85))) (let ((_let_87 (tptp.multiply _let_1 _let_2))) (let ((_let_88 (tptp.multiply _let_1 _let_44))) (let ((_let_89 (= _let_88 (tptp.multiply _let_87 tptp.a)))) (let ((_let_90 (= (tptp.greatest_lower_bound tptp.a _let_44) (tptp.greatest_lower_bound _let_44 tptp.a)))) (let ((_let_91 (= _let_61 (tptp.greatest_lower_bound _let_44 _let_3)))) (let ((_let_92 (= _let_62 (tptp.greatest_lower_bound _let_43 _let_61)))) (let ((_let_93 (= _let_64 (tptp.least_upper_bound _let_45 _let_44)))) (let ((_let_94 (tptp.greatest_lower_bound _let_73 _let_3))) (let ((_let_95 (= (tptp.greatest_lower_bound _let_74 _let_94) (tptp.greatest_lower_bound _let_75 _let_3)))) (let ((_let_96 (tptp.greatest_lower_bound _let_3 _let_61))) (let ((_let_97 (= _let_96 (tptp.greatest_lower_bound _let_59 _let_44)))) (let ((_let_98 (tptp.least_upper_bound _let_3 _let_61))) (let ((_let_99 (= _let_3 _let_98))) (let ((_let_100 (tptp.least_upper_bound _let_61 _let_62))) (let ((_let_101 (= _let_61 _let_100))) (let ((_let_102 (= (tptp.multiply _let_1 _let_67) (tptp.greatest_lower_bound _let_88 (tptp.multiply _let_1 _let_66))))) (let ((_let_103 (tptp.multiply tptp.a _let_2))) (let ((_let_104 (tptp.greatest_lower_bound _let_103 _let_50))) (let ((_let_105 (= _let_87 _let_104))) (let ((_let_106 (= (tptp.multiply _let_71 _let_44) (tptp.greatest_lower_bound (tptp.multiply _let_70 _let_44) (tptp.multiply _let_69 _let_44))))) (let ((_let_107 (tptp.multiply tptp.a _let_44))) (let ((_let_108 (tptp.greatest_lower_bound _let_107 _let_79))) (let ((_let_109 (= _let_88 _let_108))) (let ((_let_110 (tptp.multiply _let_66 _let_2))) (let ((_let_111 (tptp.greatest_lower_bound _let_74 _let_110))) (let ((_let_112 (= (tptp.multiply _let_67 _let_2) _let_111))) (let ((_let_113 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_114 (= _let_3 (tptp.multiply tptp.identity _let_3)))) (let ((_let_115 (= _let_74 (tptp.multiply tptp.identity _let_74)))) (let ((_let_116 (tptp.multiply _let_81 _let_28))) (let ((_let_117 (tptp.multiply _let_55 _let_116))) (let ((_let_118 (= (tptp.multiply _let_82 _let_28) _let_117))) (let ((_let_119 (tptp.multiply _let_81 _let_74))) (let ((_let_120 (tptp.multiply _let_55 _let_119))) (let ((_let_121 (= (tptp.multiply _let_82 _let_74) _let_120))) (let ((_let_122 (tptp.multiply _let_81 _let_3))) (let ((_let_123 (tptp.multiply _let_55 _let_122))) (let ((_let_124 (= (tptp.multiply _let_82 _let_3) _let_123))) (let ((_let_125 (tptp.greatest_lower_bound _let_79 _let_107))) (let ((_let_126 (= _let_108 _let_125))) (let ((_let_127 (= _let_100 (tptp.least_upper_bound _let_62 _let_61)))) (let ((_let_128 (= (tptp.greatest_lower_bound _let_43 _let_96) (tptp.greatest_lower_bound (tptp.greatest_lower_bound _let_43 _let_3) _let_61)))) (let ((_let_129 (tptp.greatest_lower_bound _let_88 _let_107))) (let ((_let_130 (tptp.greatest_lower_bound _let_129 _let_79))) (let ((_let_131 (= (tptp.greatest_lower_bound _let_88 _let_108) _let_130))) (let ((_let_132 (= (tptp.greatest_lower_bound _let_74 (tptp.greatest_lower_bound _let_110 _let_94)) (tptp.greatest_lower_bound _let_111 _let_94)))) (let ((_let_133 (tptp.least_upper_bound tptp.identity _let_61))) (let ((_let_134 (tptp.least_upper_bound tptp.a _let_133))) (let ((_let_135 (= _let_98 _let_134))) (let ((_let_136 (tptp.least_upper_bound _let_81 _let_84))) (let ((_let_137 (tptp.multiply _let_55 _let_136))) (let ((_let_138 (= _let_137 (tptp.least_upper_bound _let_82 _let_85)))) (let ((_let_139 (tptp.multiply _let_50 tptp.a))) (let ((_let_140 (tptp.multiply _let_103 tptp.a))) (let ((_let_141 (tptp.greatest_lower_bound _let_140 _let_139))) (let ((_let_142 (= (tptp.multiply _let_104 tptp.a) _let_141))) (let ((_let_143 (tptp.multiply _let_32 _let_44))) (let ((_let_144 (tptp.greatest_lower_bound _let_107 _let_143))) (let ((_let_145 (= (tptp.multiply _let_40 _let_44) _let_144))) (let ((_let_146 (= _let_130 (tptp.greatest_lower_bound _let_79 _let_129)))) (let ((_let_147 (= _let_134 (tptp.least_upper_bound _let_133 tptp.a)))) (let ((_let_148 (= (tptp.greatest_lower_bound _let_79 _let_144) (tptp.greatest_lower_bound _let_125 _let_143)))) (let ((_let_149 (tptp.greatest_lower_bound _let_139 _let_3))) (let ((_let_150 (tptp.greatest_lower_bound _let_140 _let_149))) (let ((_let_151 (= _let_150 (tptp.greatest_lower_bound _let_141 _let_3)))) (let ((_let_152 (tptp.multiply _let_87 _let_139))) (let ((_let_153 (tptp.multiply _let_87 _let_140))) (let ((_let_154 (tptp.greatest_lower_bound _let_153 _let_152))) (let ((_let_155 (= (tptp.multiply _let_87 _let_141) _let_154))) (let ((_let_156 (= (tptp.multiply _let_55 (tptp.greatest_lower_bound _let_136 _let_122)) (tptp.greatest_lower_bound _let_137 _let_123)))) (let ((_let_157 (= (tptp.multiply _let_55 (tptp.greatest_lower_bound _let_119 _let_116)) (tptp.greatest_lower_bound _let_120 _let_117)))) (let ((_let_158 (= _let_140 (tptp.multiply tptp.identity _let_140)))) (let ((_let_159 (= _let_150 (tptp.greatest_lower_bound _let_149 _let_140)))) (let ((_let_160 (= (tptp.greatest_lower_bound _let_61 _let_154) (tptp.greatest_lower_bound (tptp.greatest_lower_bound _let_61 _let_153) _let_152)))) (let ((_let_161 (= _let_61 (tptp.least_upper_bound _let_61 (tptp.greatest_lower_bound _let_61 tptp.a))))) (let ((_let_162 (SYMM (ASSUME :args (_let_9))))) (let ((_let_163 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (_let_163))) (let ((_let_166 ((tptp.inverse X)))) (let ((_let_167 (_let_18))) (let ((_let_168 (ASSUME :args _let_167))) (let ((_let_169 ((tptp.greatest_lower_bound X Y)))) (let ((_let_170 (_let_17))) (let ((_let_171 (ASSUME :args _let_170))) (let ((_let_172 ((tptp.least_upper_bound X Y)))) (let ((_let_173 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (_let_173))) (let ((_let_176 ((tptp.greatest_lower_bound X Y)))) (let ((_let_177 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_178 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_179 (_let_177))) (let ((_let_180 ((tptp.least_upper_bound X Y)))) (let ((_let_181 (_let_11))) (let ((_let_182 (ASSUME :args _let_181))) (let ((_let_183 ((tptp.multiply X (tptp.greatest_lower_bound Y Z))))) (let ((_let_184 (_let_6))) (let ((_let_185 (ASSUME :args _let_184))) (let ((_let_186 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_187 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_188 (_let_186))) (let ((_let_189 ((tptp.multiply tptp.identity X)))) (let ((_let_190 (_let_19))) (let ((_let_191 (ASSUME :args _let_190))) (let ((_let_192 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_193 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_194 (_let_16))) (let ((_let_195 (ASSUME :args _let_194))) (let ((_let_196 ((tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z))))) (let ((_let_197 (_let_10))) (let ((_let_198 (ASSUME :args _let_197))) (let ((_let_199 ((tptp.multiply (tptp.greatest_lower_bound Y Z) X)))) (let ((_let_200 (forall ((X $$unsorted)) (= X (tptp.inverse (tptp.inverse X)))))) (let ((_let_201 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_202 ((tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z)))) (let ((_let_203 (_let_15))) (let ((_let_204 (ASSUME :args _let_203))) (let ((_let_205 (_let_12))) (let ((_let_206 (ASSUME :args _let_205))) (let ((_let_207 ((tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z))))) (let ((_let_208 (and _let_22 _let_24 _let_26 _let_27 _let_29 _let_31 _let_33 _let_35 _let_36 _let_37 _let_39 _let_41 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(CONG _let_219 _let_218 :args _let_211))) (let ((_let_221 (ASSUME :args (_let_60)))) (let ((_let_222 (ASSUME :args (_let_37)))) (let ((_let_223 (ASSUME :args (_let_99)))) (let ((_let_224 (ASSUME :args (_let_135)))) (let ((_let_225 (ASSUME :args (_let_147)))) (let ((_let_226 (APPLY_UF tptp.least_upper_bound))) (let ((_let_227 (ASSUME :args (_let_36)))) (let ((_let_228 (SYMM _let_227))) (let ((_let_229 (REFL :args (_let_61)))) (let ((_let_230 (ASSUME :args (_let_39)))) (let ((_let_231 (ASSUME :args (_let_58)))) (let ((_let_232 (REFL :args (tptp.identity)))) (let ((_let_233 (ASSUME :args (_let_31)))) (let ((_let_234 (SYMM _let_233))) (let ((_let_235 (SYMM _let_234))) (let ((_let_236 (CONG _let_235 _let_232 :args _let_211))) (let ((_let_237 (ASSUME :args (_let_26)))) (let ((_let_238 (SYMM _let_237))) (let ((_let_239 (ASSUME :args (_let_46)))) (let ((_let_240 (SYMM _let_239))) (let ((_let_241 (TRANS _let_240 _let_238))) (let ((_let_242 (CONG _let_216 _let_241 :args _let_211))) (let 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QUANTIFIERS_INST_E_MATCHING _let_192)) :args _let_190)) _let_191 :args (_let_118 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (_let_74 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_189)) :args _let_188)) _let_187 :args (_let_115 false _let_186)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_189)) :args _let_188)) _let_187 :args (_let_114 false _let_186)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_189)) :args _let_188)) _let_187 :args (_let_113 false _let_186)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (_let_44 _let_66 _let_2 QUANTIFIERS_INST_E_MATCHING _let_199)) :args _let_197)) _let_198 :args (_let_112 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (tptp.a tptp.identity _let_44 QUANTIFIERS_INST_E_MATCHING _let_199)) :args _let_197)) _let_198 :args (_let_109 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (_let_70 _let_69 _let_44 QUANTIFIERS_INST_E_MATCHING _let_199)) :args _let_197)) _let_198 :args (_let_106 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (tptp.a tptp.identity _let_2 QUANTIFIERS_INST_E_MATCHING _let_199)) :args _let_197)) _let_198 :args (_let_105 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (_let_1 _let_44 _let_66 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_181)) _let_182 :args (_let_102 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_61 _let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_176)) :args _let_175)) _let_174 :args (_let_101 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_3 _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_176)) :args _let_175)) _let_174 :args (_let_99 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_195 :args (_let_3 _let_3 _let_44 QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_194)) _let_195 :args (_let_97 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_195 :args (_let_74 _let_73 _let_3 QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_194)) _let_195 :args (_let_95 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_44 _let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_172)) :args _let_170)) _let_171 :args (_let_93 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_61 _let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_169)) :args _let_167)) _let_168 :args (_let_92 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_3 _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_169)) :args _let_167)) _let_168 :args (_let_91 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (tptp.a _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_169)) :args _let_167)) _let_168 :args (_let_90 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_191 :args (_let_1 _let_2 tptp.a QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_190))) _let_191 :args (_let_89 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (_let_55 _let_47 tptp.a QUANTIFIERS_INST_E_MATCHING _let_192)) :args _let_190)) _let_191 :args (_let_86 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (_let_55 _let_47 _let_1 QUANTIFIERS_INST_E_MATCHING _let_192)) :args _let_190)) _let_191 :args (_let_83 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (_let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_189)) :args _let_188)) _let_187 :args (_let_80 false _let_186)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_189)) :args _let_188)) _let_187 :args (_let_78 false _let_186)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args (_let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.inverse (tptp.inverse X))))) :args (_let_200))) _let_201 :args (_let_77 false _let_200)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (_let_44 _let_43 _let_2 QUANTIFIERS_INST_E_MATCHING _let_199)) :args _let_197)) _let_198 :args (_let_76 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (_let_44 _let_43 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_199)) :args _let_197)) _let_198 :args (_let_72 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (_let_2 tptp.a _let_32 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_181)) _let_182 :args (_let_68 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_44 _let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_176)) :args _let_175)) _let_174 :args (_let_65 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_195 :args (_let_3 _let_44 _let_43 QUANTIFIERS_INST_E_MATCHING _let_196)) :args _let_194)) _let_195 :args (_let_63 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_195 :args (_let_2 _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_196)) :args _let_194)) _let_195 :args (_let_60 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (tptp.identity _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_169)) :args _let_167)) _let_168 :args (_let_58 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (_let_2 _let_2 _let_47 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_190)) _let_191 :args (_let_57 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (_let_2 _let_47 _let_2 QUANTIFIERS_INST_E_MATCHING _let_192)) :args _let_190)) _let_191 :args (_let_54 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_166)) :args _let_165)) _let_164 :args (_let_53 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_189)) :args _let_188)) _let_187 :args (_let_51 false _let_186)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.inverse (tptp.multiply X Y))))) :args _let_184)) _let_185 :args (_let_49 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (_let_2 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_181)) _let_182 :args (_let_46 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_178 :args (_let_3 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_180)) :args _let_179)) _let_178 :args (_let_42 false _let_177)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_178 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_180)) :args _let_179)) _let_178 :args (_let_41 false _let_177)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_178 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_180)) :args _let_179)) _let_178 :args (_let_39 false _let_177)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_3 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_172)) :args _let_170)) _let_171 :args (_let_37 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_178 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_180)) :args _let_179)) _let_178 :args (_let_36 false _let_177)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_176)) :args _let_175)) _let_174 :args (_let_35 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_176)) :args _let_175)) _let_174 :args (_let_33 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_172)) :args _let_170)) _let_171 :args (_let_31 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_169)) :args _let_167)) _let_168 :args (_let_29 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_169)) :args _let_167)) _let_168 :args (_let_27 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_166)) :args _let_165)) _let_164 :args (_let_26 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_166)) :args _let_165)) _let_164 :args (_let_24 false _let_163)) (SYMM (ASSUME :args (_let_5))) _let_162 :args (false false _let_161 false _let_160 false _let_159 false _let_158 false _let_157 false _let_156 false _let_155 false _let_151 false _let_148 false _let_147 false _let_146 false _let_145 false _let_142 false _let_138 false _let_135 false _let_132 false _let_131 false _let_128 false _let_127 false _let_126 false _let_124 false _let_121 false _let_118 false _let_115 false _let_114 false _let_113 false _let_112 false _let_109 false _let_106 false _let_105 false _let_102 false _let_101 false _let_99 false _let_97 false _let_95 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_86 false _let_83 false _let_80 false _let_78 false _let_77 false _let_76 false _let_72 false _let_68 false _let_65 false _let_63 false _let_60 false _let_58 false _let_57 false _let_54 false _let_53 false _let_51 false _let_49 false _let_46 false _let_42 false _let_41 false _let_39 false _let_37 false _let_36 false _let_35 false _let_33 false _let_31 false _let_29 false _let_27 false _let_26 false _let_24 true _let_23 false _let_22)) :args (_let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_14 _let_13 _let_12 _let_11 (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_10 _let_9 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 9.80/10.06  )
% 9.80/10.09  % SZS output end Proof for GRP183-2
% 9.80/10.10  % cvc5---1.0.5 exiting
% 9.80/10.10  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------