TSTP Solution File: GRP181-4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP181-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 00:25:01 EDT 2023
% Result : Unsatisfiable 26.21s 26.43s
% Output : Proof 26.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP181-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 20:28:06 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.18/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.46 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Gs6MoS7qcK/cvc5---1.0.5_11542.p...
% 0.18/0.47 ------- get file name : TPTP file name is GRP181-4
% 0.18/0.47 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11542.smt2...
% 0.18/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.49/10.71 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.51/15.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.53/20.78 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.62/25.82 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.21/26.43 % SZS status Unsatisfiable for GRP181-4
% 26.21/26.43 % SZS output start Proof for GRP181-4
% 26.21/26.43 (
% 26.21/26.43 (let ((_let_1 (= tptp.a tptp.b))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.inverse (tptp.least_upper_bound X Y)) (tptp.greatest_lower_bound (tptp.inverse X) (tptp.inverse Y)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.inverse (tptp.greatest_lower_bound X Y)) (tptp.least_upper_bound (tptp.inverse X) (tptp.inverse Y)))))) (let ((_let_5 (tptp.least_upper_bound tptp.b tptp.c))) (let ((_let_6 (tptp.least_upper_bound tptp.a tptp.c))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (tptp.greatest_lower_bound tptp.b tptp.c))) (let ((_let_9 (tptp.greatest_lower_bound tptp.a tptp.c))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.inverse (tptp.multiply X Y)) (tptp.multiply (tptp.inverse Y) (tptp.inverse X)))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.inverse (tptp.inverse X)) X)))) (let ((_let_13 (tptp.inverse tptp.identity))) (let ((_let_14 (= _let_13 tptp.identity))) (let ((_let_15 (forall ((Y $$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_16 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_17 (forall ((X $$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_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_22 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_23 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_24 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_25 (= tptp.identity _let_13))) (let ((_let_26 (= tptp.a (tptp.least_upper_bound tptp.a _let_9)))) (let ((_let_27 (= tptp.a (tptp.greatest_lower_bound tptp.a _let_6)))) (let ((_let_28 (= tptp.b (tptp.greatest_lower_bound tptp.b _let_5)))) (let ((_let_29 (tptp.inverse tptp.c))) (let ((_let_30 (tptp.inverse tptp.a))) (let ((_let_31 (tptp.least_upper_bound _let_30 _let_29))) (let ((_let_32 (= (tptp.inverse _let_9) _let_31))) (let ((_let_33 (tptp.inverse tptp.b))) (let ((_let_34 (tptp.least_upper_bound _let_33 _let_29))) (let ((_let_35 (= (tptp.inverse _let_8) _let_34))) (let ((_let_36 (tptp.greatest_lower_bound _let_30 _let_29))) (let ((_let_37 (tptp.inverse _let_6))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (tptp.greatest_lower_bound _let_33 _let_29))) (let ((_let_40 (= (tptp.inverse _let_5) _let_39))) (let ((_let_41 (tptp.multiply _let_30 tptp.a))) (let ((_let_42 (= tptp.identity _let_41))) (let ((_let_43 (tptp.multiply _let_29 tptp.c))) (let ((_let_44 (= tptp.identity _let_43))) (let ((_let_45 (= tptp.identity (tptp.multiply _let_33 tptp.b)))) (let ((_let_46 (= tptp.identity (tptp.multiply _let_37 _let_6)))) (let ((_let_47 (tptp.greatest_lower_bound _let_29 _let_30))) (let ((_let_48 (= _let_36 _let_47))) (let ((_let_49 (tptp.greatest_lower_bound _let_29 _let_33))) (let ((_let_50 (= _let_39 _let_49))) (let ((_let_51 (tptp.inverse _let_29))) (let ((_let_52 (tptp.inverse _let_30))) (let ((_let_53 (tptp.inverse _let_36))) (let ((_let_54 (= _let_53 (tptp.least_upper_bound _let_52 _let_51)))) (let ((_let_55 (tptp.inverse _let_31))) (let ((_let_56 (= _let_55 (tptp.greatest_lower_bound _let_52 _let_51)))) (let ((_let_57 (= tptp.a _let_52))) (let ((_let_58 (= tptp.c _let_51))) (let ((_let_59 (tptp.inverse _let_33))) (let ((_let_60 (= tptp.b _let_59))) (let ((_let_61 (= tptp.identity (tptp.multiply _let_53 _let_36)))) (let ((_let_62 (tptp.multiply _let_33 _let_6))) (let ((_let_63 (tptp.multiply _let_29 _let_6))) (let ((_let_64 (tptp.greatest_lower_bound _let_63 _let_62))) (let ((_let_65 (= (tptp.multiply _let_49 _let_6) _let_64))) (let ((_let_66 (= _let_37 (tptp.multiply tptp.identity _let_37)))) (let ((_let_67 (tptp.inverse _let_13))) (let ((_let_68 (tptp.inverse _let_37))) (let ((_let_69 (= (tptp.inverse (tptp.multiply _let_13 _let_37)) (tptp.multiply _let_68 _let_67)))) (let ((_let_70 (= (tptp.inverse (tptp.multiply _let_31 tptp.c)) (tptp.multiply _let_29 _let_55)))) (let ((_let_71 (tptp.inverse _let_63))) (let ((_let_72 (= _let_71 (tptp.multiply _let_37 _let_51)))) (let ((_let_73 (tptp.inverse _let_62))) (let ((_let_74 (= _let_73 (tptp.multiply _let_37 _let_59)))) (let ((_let_75 (= (tptp.multiply _let_62 tptp.identity) (tptp.multiply _let_33 (tptp.multiply _let_6 tptp.identity))))) (let ((_let_76 (tptp.multiply _let_29 tptp.a))) (let ((_let_77 (= (tptp.multiply _let_29 _let_9) (tptp.greatest_lower_bound _let_76 _let_43)))) (let ((_let_78 (tptp.least_upper_bound _let_71 _let_73))) (let ((_let_79 (= (tptp.inverse _let_64) _let_78))) (let ((_let_80 (= _let_59 (tptp.multiply tptp.identity _let_59)))) (let ((_let_81 (tptp.multiply _let_6 _let_37))) (let ((_let_82 (tptp.multiply _let_62 _let_37))) (let ((_let_83 (= _let_82 (tptp.multiply _let_33 _let_81)))) (let ((_let_84 (= (tptp.multiply _let_47 tptp.a) (tptp.greatest_lower_bound _let_76 _let_41)))) (let ((_let_85 (= (tptp.inverse (tptp.multiply _let_13 _let_59)) (tptp.multiply (tptp.inverse _let_59) _let_67)))) (let ((_let_86 (= (tptp.inverse _let_82) (tptp.multiply _let_68 _let_73)))) (let ((_let_87 (= (tptp.multiply _let_82 tptp.b) (tptp.multiply _let_62 (tptp.multiply _let_37 tptp.b))))) (let ((_let_88 (= (tptp.multiply _let_82 tptp.c) (tptp.multiply _let_62 (tptp.multiply _let_37 tptp.c))))) (let ((_let_89 (= (tptp.multiply _let_81 tptp.a) (tptp.multiply _let_6 (tptp.multiply _let_37 tptp.a))))) (let ((_let_90 (= (tptp.multiply _let_62 _let_78) (tptp.least_upper_bound (tptp.multiply _let_62 _let_71) (tptp.multiply _let_62 _let_73))))) (let ((_let_91 (= (tptp.multiply _let_34 tptp.c) (tptp.least_upper_bound (tptp.multiply _let_33 tptp.c) _let_43)))) (let ((_let_92 (= _let_52 (tptp.multiply tptp.identity _let_52)))) (let ((_let_93 (SYMM (ASSUME :args (_let_14))))) (let ((_let_94 (ASSUME :args (_let_10)))) (let ((_let_95 (ASSUME :args (_let_7)))) (let ((_let_96 (ASSUME :args (_let_2)))) (let ((_let_97 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 ((tptp.least_upper_bound X Y)))) (let ((_let_103 (_let_4))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 ((tptp.greatest_lower_bound X Y)))) (let ((_let_106 (_let_3))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 ((tptp.least_upper_bound X Y)))) (let ((_let_109 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_109))) (let ((_let_112 ((tptp.inverse X)))) (let ((_let_113 (_let_21))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 ((tptp.greatest_lower_bound X Y)))) (let ((_let_116 (forall ((X $$unsorted)) (= X (tptp.inverse (tptp.inverse X)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (_let_15))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (_let_121))) (let ((_let_124 (_let_11))) (let ((_let_125 (ASSUME :args _let_124))) (let ((_let_126 ((tptp.multiply (tptp.inverse Y) (tptp.inverse X))))) (let ((_let_127 (_let_22))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_130 (_let_17))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_133 (_let_18))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (_let_16))) (let ((_let_136 (ASSUME :args _let_135))) (let ((_let_137 (not _let_92))) (let ((_let_138 (not _let_91))) (let ((_let_139 (not _let_90))) (let ((_let_140 (not _let_89))) (let ((_let_141 (not _let_88))) (let ((_let_142 (not _let_87))) (let ((_let_143 (not _let_86))) (let ((_let_144 (not _let_85))) (let ((_let_145 (not _let_84))) (let ((_let_146 (not _let_83))) (let ((_let_147 (not _let_80))) (let ((_let_148 (not _let_79))) (let ((_let_149 (not _let_77))) (let ((_let_150 (not _let_75))) (let ((_let_151 (not _let_74))) (let ((_let_152 (not _let_72))) (let ((_let_153 (not _let_70))) (let ((_let_154 (not _let_69))) (let ((_let_155 (not _let_66))) (let ((_let_156 (not _let_65))) (let ((_let_157 (not _let_61))) (let ((_let_158 (not _let_60))) (let ((_let_159 (not _let_58))) (let ((_let_160 (not _let_57))) (let ((_let_161 (not _let_56))) (let ((_let_162 (not _let_54))) (let ((_let_163 (not _let_50))) (let ((_let_164 (not _let_48))) (let ((_let_165 (not _let_46))) (let ((_let_166 (not _let_45))) (let ((_let_167 (not _let_44))) (let ((_let_168 (not _let_42))) (let ((_let_169 (not _let_40))) (let ((_let_170 (not _let_38))) (let ((_let_171 (not _let_35))) (let ((_let_172 (not _let_32))) (let ((_let_173 (not _let_28))) (let ((_let_174 (not _let_27))) (let ((_let_175 (not _let_26))) (let ((_let_176 (not _let_7))) (let ((_let_177 (not _let_10))) (let ((_let_178 (not _let_25))) (let ((_let_179 (and _let_10 _let_7 _let_2 _let_25 _let_26 _let_27 _let_28 _let_32 _let_35 _let_38 _let_40 _let_42 _let_44 _let_45 _let_46 _let_48 _let_50 _let_54 _let_56 _let_57 _let_58 _let_60 _let_61 _let_65 _let_66 _let_69 _let_70 _let_72 _let_74 _let_75 _let_77 _let_79 _let_80 _let_83 _let_84 _let_85 _let_86 _let_87 _let_88 _let_89 _let_90 _let_91))) (let ((_let_180 (ASSUME :args (_let_60)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (APPLY_UF tptp.inverse))) (let ((_let_183 (ASSUME :args (_let_80)))) (let ((_let_184 (APPLY_UF tptp.multiply))) (let ((_let_185 (SYMM _let_93))) (let ((_let_186 (ASSUME :args (_let_85)))) (let ((_let_187 (TRANS _let_93 (CONG _let_93 :args _let_182)))) (let ((_let_188 (ASSUME :args (_let_61)))) (let ((_let_189 (ASSUME :args (_let_38)))) (let ((_let_190 (SYMM _let_189))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (ASSUME :args (_let_54)))) (let ((_let_193 (SYMM _let_192))) (let ((_let_194 (APPLY_UF tptp.least_upper_bound))) (let ((_let_195 (ASSUME :args (_let_58)))) (let ((_let_196 (SYMM (SYMM _let_195)))) (let ((_let_197 (ASSUME :args (_let_57)))) (let ((_let_198 (ASSUME :args (_let_26)))) (let ((_let_199 (CONG (TRANS (SYMM _let_198) _let_197) _let_196 :args _let_194))) (let ((_let_200 (REFL :args (tptp.c)))) (let ((_let_201 (CONG _let_198 _let_200 :args _let_194))) (let ((_let_202 (TRANS _let_201 _let_199 _let_193))) (let ((_let_203 (CONG _let_202 _let_191 :args _let_184))) (let ((_let_204 (REFL :args (_let_33)))) (let ((_let_205 (ASSUME :args (_let_83)))) (let ((_let_206 (TRANS (SYMM (SYMM _let_205)) (CONG _let_204 (TRANS _let_203 (SYMM _let_188)) :args _let_184) (CONG (CONG _let_180 :args _let_182) _let_187 :args _let_184) (SYMM _let_186) (CONG (TRANS (CONG _let_185 (REFL :args (_let_59)) :args _let_184) (SYMM _let_183) _let_181) :args _let_182)))) (let ((_let_207 (ASSUME :args (_let_86)))) (let ((_let_208 (CONG _let_190 :args _let_182))) (let ((_let_209 (SYMM _let_95))) (let ((_let_210 (ASSUME :args (_let_66)))) (let ((_let_211 (REFL :args (_let_37)))) (let ((_let_212 (ASSUME :args (_let_69)))) (let ((_let_213 (ASSUME :args (_let_75)))) (let ((_let_214 (ASSUME :args (_let_46)))) (let ((_let_215 (REFL :args (_let_6)))) (let ((_let_216 (CONG _let_209 :args _let_182))) (let ((_let_217 (ASSUME :args (_let_40)))) (let ((_let_218 (SYMM _let_217))) (let ((_let_219 (ASSUME :args (_let_50)))) (let ((_let_220 (ASSUME :args (_let_65)))) (let ((_let_221 (ASSUME :args (_let_79)))) (let ((_let_222 (REFL :args (_let_62)))) (let ((_let_223 (ASSUME :args (_let_90)))) (let ((_let_224 (ASSUME :args (_let_74)))) (let ((_let_225 (TRANS _let_218 _let_216))) (let ((_let_226 (ASSUME :args (_let_87)))) (let ((_let_227 (ASSUME :args (_let_28)))) (let ((_let_228 (SYMM _let_206))) (let ((_let_229 (ASSUME :args (_let_45)))) (let ((_let_230 (ASSUME :args (_let_44)))) (let ((_let_231 (ASSUME :args (_let_72)))) (let ((_let_232 (ASSUME :args (_let_88)))) (let ((_let_233 (ASSUME :args (_let_91)))) (let ((_let_234 (ASSUME :args (_let_35)))) (let ((_let_235 (SYMM _let_94))) (let ((_let_236 (SYMM _let_235))) (let ((_let_237 (ASSUME :args (_let_32)))) (let ((_let_238 (ASSUME :args (_let_70)))) (let ((_let_239 (ASSUME :args (_let_56)))) (let ((_let_240 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_241 (ASSUME :args (_let_27)))) (let ((_let_242 (REFL :args (_let_29)))) (let ((_let_243 (ASSUME :args (_let_77)))) (let ((_let_244 (ASSUME :args (_let_42)))) (let ((_let_245 (ASSUME :args (_let_84)))) (let ((_let_246 (ASSUME :args (_let_48)))) (let ((_let_247 (ASSUME :args (_let_89)))) (let ((_let_248 (SYMM _let_197))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_179)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_96 _let_197 _let_180 _let_183 _let_93 _let_186 _let_188 _let_192 _let_198 _let_195 _let_189 _let_205 _let_207 _let_95 _let_210 _let_212 _let_213 _let_214 _let_217 _let_219 _let_220 _let_221 _let_223 _let_231 _let_232 _let_224 _let_226 _let_227 _let_229 _let_230 _let_233 _let_234 _let_94 _let_237 _let_238 _let_239 _let_241 _let_243 _let_244 _let_245 _let_246 _let_247) (SCOPE (FALSE_ELIM (TRANS (CONG _let_248 (TRANS (CONG _let_93 (REFL :args (_let_52)) :args _let_184) (CONG (TRANS _let_185 _let_188 (SYMM _let_203)) _let_248 :args _let_184) (SYMM (SYMM _let_247)) (CONG _let_215 (TRANS (CONG (TRANS _let_191 (SYMM (SYMM _let_246))) (REFL :args (tptp.a)) :args _let_184) (SYMM (SYMM _let_245)) (CONG (REFL :args (_let_76)) (TRANS (SYMM _let_244) _let_230) :args _let_240) (SYMM _let_243)) :args _let_184) (CONG _let_95 (TRANS (CONG _let_242 _let_236 :args _let_184) (CONG _let_242 (TRANS _let_235 (CONG _let_241 _let_200 :args _let_240) (CONG (TRANS (SYMM _let_241) _let_197) _let_196 :args _let_240) (SYMM _let_239)) :args _let_184) (SYMM _let_238) (CONG (TRANS (CONG (SYMM _let_237) _let_200 :args _let_184) (CONG (TRANS (CONG _let_236 :args _let_182) (SYMM (SYMM _let_234))) _let_200 :args _let_184) (SYMM (SYMM _let_233)) (CONG (TRANS (CONG _let_228 _let_200 :args _let_184) (SYMM (SYMM _let_232)) (CONG _let_222 (TRANS (CONG _let_211 _let_196 :args _let_184) (SYMM _let_231)) :args _let_184)) (TRANS (SYMM _let_230) (SYMM (SYMM _let_229)) (CONG _let_204 _let_227 :args _let_184) (CONG _let_228 (SYMM _let_227) :args _let_184) (SYMM (SYMM _let_226)) (CONG _let_222 (TRANS (CONG (SYMM _let_225) (REFL :args (tptp.b)) :args _let_184) (CONG _let_225 _let_180 :args _let_184) (SYMM _let_224)) :args _let_184)) :args _let_194) (SYMM _let_223) (CONG _let_222 (TRANS (SYMM _let_221) (CONG (TRANS (SYMM _let_220) (CONG (TRANS (SYMM _let_219) _let_218 _let_216) _let_215 :args _let_184) (SYMM _let_214)) :args _let_182) _let_185) :args _let_184) (SYMM (SYMM _let_213)) (CONG _let_204 (TRANS (CONG (TRANS _let_202 _let_208) _let_187 :args _let_184) (SYMM _let_212) (CONG (TRANS (CONG _let_185 _let_211 :args _let_184) (SYMM _let_210) _let_191) :args _let_182) _let_192 (SYMM _let_199) (SYMM _let_201)) :args _let_184)) :args _let_182)) :args _let_184) (CONG (TRANS (TRANS _let_209 _let_201 _let_199 _let_193) _let_208) (REFL :args (_let_73)) :args _let_184) (SYMM _let_207) (CONG _let_206 :args _let_182) _let_181) :args (=)) (FALSE_INTRO _let_96))) :args (_let_2 _let_57 _let_60 _let_80 _let_25 _let_85 _let_61 _let_54 _let_26 _let_58 _let_38 _let_83 _let_86 _let_7 _let_66 _let_69 _let_75 _let_46 _let_40 _let_50 _let_65 _let_79 _let_90 _let_72 _let_88 _let_74 _let_87 _let_28 _let_45 _let_44 _let_91 _let_35 _let_10 _let_32 _let_70 _let_56 _let_27 _let_77 _let_42 _let_84 _let_48 _let_89))) :args (_let_10 _let_7 _let_2 _let_25 _let_26 _let_27 _let_28 _let_32 _let_35 _let_38 _let_40 _let_42 _let_44 _let_45 _let_46 _let_48 _let_50 _let_54 _let_56 _let_57 _let_58 _let_60 _let_61 _let_65 _let_66 _let_69 _let_70 _let_72 _let_74 _let_75 _let_77 _let_79 _let_80 _let_83 _let_84 _let_85 _let_86 _let_87 _let_88 _let_89 _let_90 _let_91))) :args (true _let_179)) (CONG (REFL :args (_let_177)) (REFL :args (_let_176)) (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_178)) (REFL :args (_let_175)) (REFL :args (_let_174)) (REFL :args (_let_173)) (REFL :args (_let_172)) (REFL :args (_let_171)) (REFL :args (_let_170)) (REFL :args (_let_169)) (REFL :args (_let_168)) (REFL :args (_let_167)) (REFL :args (_let_166)) (REFL :args (_let_165)) (REFL :args (_let_164)) (REFL :args (_let_163)) (REFL :args (_let_162)) (REFL :args (_let_161)) (REFL :args (_let_160)) (REFL :args (_let_159)) (REFL :args (_let_158)) (REFL :args (_let_157)) (REFL :args (_let_156)) (REFL :args (_let_155)) (REFL :args (_let_154)) (REFL :args (_let_153)) (REFL :args (_let_152)) (REFL :args (_let_151)) (REFL :args (_let_150)) (REFL :args (_let_149)) (REFL :args (_let_148)) (REFL :args (_let_147)) (REFL :args (_let_146)) (REFL :args (_let_145)) (REFL :args (_let_144)) (REFL :args (_let_143)) (REFL :args (_let_142)) (REFL :args (_let_141)) (REFL :args (_let_140)) (REFL :args (_let_139)) (REFL :args (_let_138)) (REFL :args (_let_137)) :args (or))) :args ((or _let_1 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_52 QUANTIFIERS_INST_CBQI_PROP)) :args _let_123)) _let_122 :args (_let_92 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (_let_33 _let_29 tptp.c QUANTIFIERS_INST_CBQI_PROP)) :args _let_135)) _let_136 :args (_let_91 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_62 _let_71 _let_73 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.least_upper_bound Y Z))))) :args _let_133)) _let_134 :args (_let_90 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_6 _let_37 tptp.a QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_127)) _let_128 :args (_let_89 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_62 _let_37 tptp.c QUANTIFIERS_INST_E_MATCHING _let_132)) :args _let_127)) _let_128 :args (_let_88 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_62 _let_37 tptp.b QUANTIFIERS_INST_E_MATCHING _let_132)) :args _let_127)) _let_128 :args (_let_87 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_62 _let_37 QUANTIFIERS_INST_E_MATCHING ((tptp.inverse (tptp.multiply X Y))))) :args _let_124)) _let_125 :args (_let_86 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_13 _let_59 QUANTIFIERS_INST_CBQI_PROP)) :args _let_124)) _let_125 :args (_let_85 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_29 _let_30 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_119)) _let_120 :args (_let_84 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_33 _let_6 _let_37 QUANTIFIERS_INST_CBQI_PROP)) :args _let_127)) _let_128 :args (_let_83 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_59 QUANTIFIERS_INST_CBQI_PROP)) :args _let_123)) _let_122 :args (_let_80 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_63 _let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_79 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (_let_29 tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.greatest_lower_bound Y Z))))) :args _let_130)) _let_131 :args (_let_77 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_33 _let_6 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_127)) _let_128 :args (_let_75 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_33 _let_6 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_74 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_29 _let_6 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_72 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_31 tptp.c QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_70 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_13 _let_37 QUANTIFIERS_INST_CBQI_PROP)) :args _let_124)) _let_125 :args (_let_69 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_37 QUANTIFIERS_INST_CBQI_PROP)) :args _let_123)) _let_122 :args (_let_66 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_29 _let_33 _let_6 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.greatest_lower_bound Y Z) X)))) :args _let_119)) _let_120 :args (_let_65 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_61 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_60 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.c QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_58 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_57 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_30 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_106)) _let_107 :args (_let_56 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_30 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_54 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_33 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_113)) _let_114 :args (_let_50 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_30 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_113)) _let_114 :args (_let_48 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_46 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_45 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_44 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_42 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_106)) _let_107 :args (_let_40 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_106)) _let_107 :args (_let_38 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_35 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_32 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_28 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_27 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args (_let_97))) _let_98 :args (_let_26 false _let_97)) _let_96 _let_95 _let_94 _let_93 :args (false false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_87 false _let_86 false _let_85 false _let_84 false _let_83 false _let_80 false _let_79 false _let_77 false _let_75 false _let_74 false _let_72 false _let_70 false _let_69 false _let_66 false _let_65 false _let_61 false _let_60 false _let_58 false _let_57 false _let_56 false _let_54 false _let_50 false _let_48 false _let_46 false _let_45 false _let_44 false _let_42 false _let_40 false _let_38 false _let_35 false _let_32 false _let_28 false _let_27 false _let_26 true _let_1 false _let_7 false _let_10 false _let_25)) :args (_let_24 _let_23 _let_22 _let_21 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))) (forall ((X $$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_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_12 _let_11 _let_10 _let_7 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.21/26.43 )
% 26.21/26.44 % SZS output end Proof for GRP181-4
% 26.21/26.44 % cvc5---1.0.5 exiting
% 26.21/26.44 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------