TSTP Solution File: GRP492-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 00:26:13 EDT 2023
% Result : Unsatisfiable 0.83s 1.02s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 00:33:16 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.LsVsjLYD4q/cvc5---1.0.5_32538.p...
% 0.20/0.48 ------- get file name : TPTP file name is GRP492-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32538.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.83/1.02 % SZS status Unsatisfiable for GRP492-1
% 0.83/1.02 % SZS output start Proof for GRP492-1
% 0.90/1.06 (
% 0.90/1.06 (let ((_let_1 (tptp.multiply tptp.b3 tptp.c3))) (let ((_let_2 (tptp.multiply tptp.a3 _let_1))) (let ((_let_3 (tptp.multiply tptp.a3 tptp.b3))) (let ((_let_4 (tptp.multiply _let_3 tptp.c3))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide (tptp.double_divide tptp.identity A) (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide A B) tptp.identity) (tptp.double_divide C B)))) C)))) (let ((_let_11 (tptp.double_divide tptp.b3 tptp.a3))) (let ((_let_12 (tptp.double_divide _let_11 tptp.identity))) (let ((_let_13 (= _let_3 _let_12))) (let ((_let_14 (tptp.double_divide _let_1 tptp.a3))) (let ((_let_15 (tptp.double_divide _let_14 tptp.identity))) (let ((_let_16 (= _let_2 _let_15))) (let ((_let_17 (tptp.double_divide tptp.c3 tptp.b3))) (let ((_let_18 (tptp.double_divide _let_17 tptp.identity))) (let ((_let_19 (= _let_1 _let_18))) (let ((_let_20 (tptp.double_divide tptp.c3 _let_3))) (let ((_let_21 (tptp.double_divide _let_20 tptp.identity))) (let ((_let_22 (= _let_4 _let_21))) (let ((_let_23 (tptp.double_divide _let_12 tptp.identity))) (let ((_let_24 (= (tptp.multiply tptp.identity _let_11) _let_23))) (let ((_let_25 (tptp.double_divide _let_15 tptp.identity))) (let ((_let_26 (= (tptp.multiply tptp.identity _let_14) _let_25))) (let ((_let_27 (tptp.inverse _let_11))) (let ((_let_28 (= _let_12 _let_27))) (let ((_let_29 (tptp.inverse _let_14))) (let ((_let_30 (= _let_15 _let_29))) (let ((_let_31 (tptp.inverse _let_17))) (let ((_let_32 (= _let_18 _let_31))) (let ((_let_33 (tptp.inverse _let_20))) (let ((_let_34 (= _let_21 _let_33))) (let ((_let_35 (tptp.double_divide _let_18 tptp.identity))) (let ((_let_36 (tptp.double_divide _let_35 tptp.identity))) (let ((_let_37 (= (tptp.multiply tptp.identity _let_18) _let_36))) (let ((_let_38 (tptp.inverse _let_21))) (let ((_let_39 (tptp.double_divide _let_21 tptp.identity))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (= _let_35 (tptp.inverse _let_18)))) (let ((_let_42 (tptp.double_divide _let_11 _let_27))) (let ((_let_43 (= tptp.identity _let_42))) (let ((_let_44 (tptp.double_divide _let_14 _let_29))) (let ((_let_45 (= tptp.identity _let_44))) (let ((_let_46 (tptp.double_divide _let_17 _let_31))) (let ((_let_47 (= tptp.identity _let_46))) (let ((_let_48 (tptp.double_divide _let_20 _let_33))) (let ((_let_49 (= tptp.identity _let_48))) (let ((_let_50 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.c3 _let_27) tptp.identity) _let_42)))) (let ((_let_51 (tptp.double_divide tptp.identity tptp.c3))) (let ((_let_52 (tptp.double_divide _let_51 _let_50))) (let ((_let_53 (= _let_11 _let_52))) (let ((_let_54 (tptp.double_divide _let_23 tptp.identity))) (let ((_let_55 (tptp.double_divide _let_54 tptp.identity))) (let ((_let_56 (= (tptp.multiply tptp.identity _let_23) _let_55))) (let ((_let_57 (tptp.double_divide _let_25 tptp.identity))) (let ((_let_58 (tptp.double_divide _let_57 tptp.identity))) (let ((_let_59 (= (tptp.multiply tptp.identity _let_25) _let_58))) (let ((_let_60 (tptp.inverse _let_23))) (let ((_let_61 (= _let_54 _let_60))) (let ((_let_62 (tptp.inverse _let_25))) (let ((_let_63 (= _let_57 _let_62))) (let ((_let_64 (tptp.inverse _let_35))) (let ((_let_65 (= _let_36 _let_64))) (let ((_let_66 (tptp.inverse _let_39))) (let ((_let_67 (tptp.double_divide _let_39 tptp.identity))) (let ((_let_68 (= _let_67 _let_66))) (let ((_let_69 (tptp.double_divide _let_21 _let_38))) (let ((_let_70 (= tptp.identity _let_69))) (let ((_let_71 (tptp.double_divide _let_36 tptp.identity))) (let ((_let_72 (tptp.double_divide _let_71 tptp.identity))) (let ((_let_73 (= (tptp.multiply tptp.identity _let_36) _let_72))) (let ((_let_74 (tptp.inverse _let_42))) (let ((_let_75 (tptp.double_divide _let_42 tptp.identity))) (let ((_let_76 (= _let_75 _let_74))) (let ((_let_77 (tptp.inverse _let_54))) (let ((_let_78 (= _let_55 _let_77))) (let ((_let_79 (tptp.inverse _let_67))) (let ((_let_80 (tptp.double_divide _let_67 tptp.identity))) (let ((_let_81 (= _let_80 _let_79))) (let ((_let_82 (tptp.inverse _let_36))) (let ((_let_83 (= _let_71 _let_82))) (let ((_let_84 (tptp.inverse _let_57))) (let ((_let_85 (= _let_58 _let_84))) (let ((_let_86 (= tptp.identity (tptp.double_divide _let_23 _let_60)))) (let ((_let_87 (tptp.double_divide _let_25 _let_62))) (let ((_let_88 (= tptp.identity _let_87))) (let ((_let_89 (= tptp.identity (tptp.double_divide _let_35 _let_64)))) (let ((_let_90 (tptp.double_divide _let_39 _let_66))) (let ((_let_91 (= tptp.identity _let_90))) (let ((_let_92 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_90 tptp.identity) _let_90)))) (let ((_let_93 (tptp.double_divide tptp.identity _let_39))) (let ((_let_94 (tptp.double_divide _let_93 _let_92))) (let ((_let_95 (= _let_39 _let_94))) (let ((_let_96 (tptp.double_divide tptp.identity _let_11))) (let ((_let_97 (= _let_23 (tptp.double_divide _let_96 (tptp.double_divide tptp.identity (tptp.double_divide _let_23 _let_54)))))) (let ((_let_98 (tptp.double_divide tptp.identity _let_14))) (let ((_let_99 (= _let_25 (tptp.double_divide _let_98 (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_57)))))) (let ((_let_100 (tptp.double_divide tptp.identity _let_17))) (let ((_let_101 (= _let_35 (tptp.double_divide _let_100 (tptp.double_divide tptp.identity (tptp.double_divide _let_35 _let_36)))))) (let ((_let_102 (tptp.double_divide tptp.identity _let_20))) (let ((_let_103 (= _let_39 (tptp.double_divide _let_102 (tptp.double_divide tptp.identity (tptp.double_divide _let_39 _let_67)))))) (let ((_let_104 (tptp.double_divide _let_50 tptp.identity))) (let ((_let_105 (tptp.double_divide _let_104 tptp.identity))) (let ((_let_106 (= (tptp.multiply tptp.identity _let_50) _let_105))) (let ((_let_107 (tptp.double_divide _let_55 tptp.identity))) (let ((_let_108 (tptp.double_divide _let_107 tptp.identity))) (let ((_let_109 (= (tptp.multiply tptp.identity _let_55) _let_108))) (let ((_let_110 (tptp.inverse _let_75))) (let ((_let_111 (tptp.double_divide _let_75 tptp.identity))) (let ((_let_112 (= _let_111 _let_110))) (let ((_let_113 (tptp.inverse _let_55))) (let ((_let_114 (= _let_107 _let_113))) (let ((_let_115 (tptp.inverse _let_58))) (let ((_let_116 (tptp.double_divide _let_58 tptp.identity))) (let ((_let_117 (= _let_116 _let_115))) (let ((_let_118 (tptp.inverse _let_71))) (let ((_let_119 (= _let_72 _let_118))) (let ((_let_120 (tptp.inverse _let_80))) (let ((_let_121 (tptp.double_divide _let_80 tptp.identity))) (let ((_let_122 (= _let_121 _let_120))) (let ((_let_123 (tptp.double_divide _let_42 _let_74))) (let ((_let_124 (= tptp.identity _let_123))) (let ((_let_125 (= tptp.identity (tptp.double_divide _let_54 _let_77)))) (let ((_let_126 (tptp.double_divide _let_67 _let_79))) (let ((_let_127 (= tptp.identity _let_126))) (let ((_let_128 (tptp.double_divide _let_36 _let_82))) (let ((_let_129 (= tptp.identity _let_128))) (let ((_let_130 (tptp.double_divide _let_57 _let_84))) (let ((_let_131 (= tptp.identity _let_130))) (let ((_let_132 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_96 _let_74) tptp.identity) _let_123)))) (let ((_let_133 (tptp.double_divide tptp.identity _let_96))) (let ((_let_134 (tptp.double_divide _let_133 _let_132))) (let ((_let_135 (= _let_42 _let_134))) (let ((_let_136 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_100 _let_74) tptp.identity) _let_123)))) (let ((_let_137 (tptp.double_divide tptp.identity _let_100))) (let ((_let_138 (tptp.double_divide _let_137 _let_136))) (let ((_let_139 (= _let_42 _let_138))) (let ((_let_140 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_130 tptp.identity) _let_130)))) (let ((_let_141 (tptp.double_divide tptp.identity _let_57))) (let ((_let_142 (tptp.double_divide _let_141 _let_140))) (let ((_let_143 (= _let_57 _let_142))) (let ((_let_144 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_38) tptp.identity) _let_69)))) (let ((_let_145 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_146 (tptp.double_divide _let_145 _let_144))) (let ((_let_147 (= _let_21 _let_146))) (let ((_let_148 (tptp.double_divide tptp.identity (tptp.double_divide _let_54 _let_55)))) (let ((_let_149 (tptp.double_divide tptp.identity _let_12))) (let ((_let_150 (tptp.double_divide _let_149 _let_148))) (let ((_let_151 (= _let_54 _let_150))) (let ((_let_152 (tptp.double_divide tptp.identity (tptp.double_divide _let_67 _let_80)))) (let ((_let_153 (tptp.double_divide tptp.identity _let_21))) (let ((_let_154 (tptp.double_divide _let_153 _let_152))) (let ((_let_155 (= _let_67 _let_154))) (let ((_let_156 (tptp.double_divide tptp.identity (tptp.double_divide _let_36 _let_71)))) (let ((_let_157 (tptp.double_divide tptp.identity _let_18))) (let ((_let_158 (tptp.double_divide _let_157 _let_156))) (let ((_let_159 (= _let_36 _let_158))) (let ((_let_160 (tptp.double_divide tptp.identity (tptp.double_divide _let_57 _let_58)))) (let ((_let_161 (tptp.double_divide tptp.identity _let_15))) (let ((_let_162 (tptp.double_divide _let_161 _let_160))) (let ((_let_163 (= _let_57 _let_162))) (let ((_let_164 (tptp.double_divide _let_72 tptp.identity))) (let ((_let_165 (tptp.double_divide _let_164 tptp.identity))) (let ((_let_166 (= (tptp.multiply tptp.identity _let_72) _let_165))) (let ((_let_167 (= (tptp.multiply _let_92 _let_93) (tptp.double_divide _let_94 tptp.identity)))) (let ((_let_168 (tptp.inverse _let_111))) (let ((_let_169 (tptp.double_divide _let_111 tptp.identity))) (let ((_let_170 (= _let_169 _let_168))) (let ((_let_171 (tptp.inverse _let_104))) (let ((_let_172 (= _let_105 _let_171))) (let ((_let_173 (tptp.inverse _let_107))) (let ((_let_174 (= _let_108 _let_173))) (let ((_let_175 (tptp.inverse _let_121))) (let ((_let_176 (tptp.double_divide _let_121 tptp.identity))) (let ((_let_177 (= _let_176 _let_175))) (let ((_let_178 (tptp.inverse _let_72))) (let ((_let_179 (= _let_164 _let_178))) (let ((_let_180 (tptp.inverse _let_116))) (let ((_let_181 (tptp.double_divide _let_116 tptp.identity))) (let ((_let_182 (= _let_181 _let_180))) (let ((_let_183 (= tptp.identity (tptp.double_divide _let_75 _let_110)))) (let ((_let_184 (= tptp.identity (tptp.double_divide _let_55 _let_113)))) (let ((_let_185 (= tptp.identity (tptp.double_divide _let_58 _let_115)))) (let ((_let_186 (= tptp.identity (tptp.double_divide _let_71 _let_118)))) (let ((_let_187 (= tptp.identity (tptp.double_divide _let_80 _let_120)))) (let ((_let_188 (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_107)))) (let ((_let_189 (tptp.double_divide tptp.identity _let_23))) (let ((_let_190 (tptp.double_divide _let_189 _let_188))) (let ((_let_191 (= _let_55 _let_190))) (let ((_let_192 (tptp.double_divide tptp.identity (tptp.double_divide _let_58 _let_116)))) (let ((_let_193 (tptp.double_divide tptp.identity _let_25))) (let ((_let_194 (tptp.double_divide _let_193 _let_192))) (let ((_let_195 (= _let_58 _let_194))) (let ((_let_196 (tptp.double_divide tptp.identity (tptp.double_divide _let_71 _let_72)))) (let ((_let_197 (tptp.double_divide tptp.identity _let_35))) (let ((_let_198 (tptp.double_divide _let_197 _let_196))) (let ((_let_199 (= _let_71 _let_198))) (let ((_let_200 (tptp.double_divide tptp.identity (tptp.double_divide _let_80 _let_121)))) (let ((_let_201 (tptp.double_divide _let_93 _let_200))) (let ((_let_202 (= _let_80 _let_201))) (let ((_let_203 (= (tptp.multiply _let_144 _let_145) (tptp.double_divide _let_146 tptp.identity)))) (let ((_let_204 (= (tptp.multiply _let_140 _let_141) (tptp.double_divide _let_142 tptp.identity)))) (let ((_let_205 (= (tptp.multiply _let_148 _let_149) (tptp.double_divide _let_150 tptp.identity)))) (let ((_let_206 (= (tptp.multiply _let_152 _let_153) (tptp.double_divide _let_154 tptp.identity)))) (let ((_let_207 (= (tptp.multiply _let_156 _let_157) (tptp.double_divide _let_158 tptp.identity)))) (let ((_let_208 (= (tptp.multiply _let_160 _let_161) (tptp.double_divide _let_162 tptp.identity)))) (let ((_let_209 (tptp.inverse _let_96))) (let ((_let_210 (= (tptp.double_divide _let_96 tptp.identity) _let_209))) (let ((_let_211 (tptp.double_divide _let_51 tptp.identity))) (let ((_let_212 (tptp.double_divide _let_211 tptp.identity))) (let ((_let_213 (tptp.inverse _let_212))) (let ((_let_214 (tptp.double_divide _let_212 tptp.identity))) (let ((_let_215 (= _let_214 _let_213))) (let ((_let_216 (tptp.inverse _let_164))) (let ((_let_217 (= _let_165 _let_216))) (let ((_let_218 (= tptp.identity (tptp.double_divide _let_111 _let_168)))) (let ((_let_219 (= tptp.identity (tptp.double_divide _let_104 _let_171)))) (let ((_let_220 (= tptp.identity (tptp.double_divide _let_107 _let_173)))) (let ((_let_221 (= tptp.identity (tptp.double_divide _let_121 _let_175)))) (let ((_let_222 (= tptp.identity (tptp.double_divide _let_72 _let_178)))) (let ((_let_223 (= tptp.identity (tptp.double_divide _let_116 _let_180)))) (let ((_let_224 (= _let_189 (tptp.double_divide _let_133 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_96 _let_188) tptp.identity) _let_190)))))) (let ((_let_225 (tptp.double_divide tptp.identity _let_102))) (let ((_let_226 (= _let_93 (tptp.double_divide _let_225 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_102 _let_200) tptp.identity) _let_201)))))) (let ((_let_227 (= _let_197 (tptp.double_divide _let_137 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_100 _let_196) tptp.identity) _let_198)))))) (let ((_let_228 (tptp.double_divide tptp.identity _let_98))) (let ((_let_229 (= _let_193 (tptp.double_divide _let_228 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_98 _let_192) tptp.identity) _let_194)))))) (let ((_let_230 (tptp.double_divide tptp.identity (tptp.double_divide _let_111 _let_169)))) (let ((_let_231 (tptp.double_divide tptp.identity _let_42))) (let ((_let_232 (tptp.double_divide _let_231 _let_230))) (let ((_let_233 (= _let_111 _let_232))) (let ((_let_234 (tptp.double_divide tptp.identity (tptp.double_divide _let_107 _let_108)))) (let ((_let_235 (tptp.double_divide tptp.identity _let_54))) (let ((_let_236 (tptp.double_divide _let_235 _let_234))) (let ((_let_237 (= _let_107 _let_236))) (let ((_let_238 (tptp.double_divide tptp.identity (tptp.double_divide _let_121 _let_176)))) (let ((_let_239 (tptp.double_divide tptp.identity _let_67))) (let ((_let_240 (tptp.double_divide _let_239 _let_238))) (let ((_let_241 (= _let_121 _let_240))) (let ((_let_242 (tptp.double_divide tptp.identity (tptp.double_divide _let_72 _let_164)))) (let ((_let_243 (tptp.double_divide tptp.identity _let_36))) (let ((_let_244 (tptp.double_divide _let_243 _let_242))) (let ((_let_245 (= _let_72 _let_244))) (let ((_let_246 (= _let_116 (tptp.double_divide _let_141 (tptp.double_divide tptp.identity (tptp.double_divide _let_116 _let_181)))))) (let ((_let_247 (tptp.double_divide tptp.identity _let_153))) (let ((_let_248 (= (tptp.multiply _let_153 tptp.identity) (tptp.double_divide _let_247 tptp.identity)))) (let ((_let_249 (tptp.double_divide _let_133 tptp.identity))) (let ((_let_250 (= (tptp.multiply tptp.identity _let_133) (tptp.double_divide _let_249 tptp.identity)))) (let ((_let_251 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_102 _let_74) tptp.identity) _let_123)))) (let ((_let_252 (= (tptp.multiply tptp.identity _let_251) (tptp.double_divide (tptp.double_divide _let_251 tptp.identity) tptp.identity)))) (let ((_let_253 (= (tptp.multiply tptp.identity _let_141) (tptp.double_divide (tptp.double_divide _let_141 tptp.identity) tptp.identity)))) (let ((_let_254 (tptp.double_divide _let_149 tptp.identity))) (let ((_let_255 (= (tptp.multiply tptp.identity _let_149) (tptp.double_divide _let_254 tptp.identity)))) (let ((_let_256 (= (tptp.multiply tptp.identity _let_153) (tptp.double_divide (tptp.double_divide _let_153 tptp.identity) tptp.identity)))) (let ((_let_257 (tptp.double_divide _let_157 tptp.identity))) (let ((_let_258 (= (tptp.multiply tptp.identity _let_157) (tptp.double_divide _let_257 tptp.identity)))) (let ((_let_259 (= (tptp.multiply tptp.identity _let_161) (tptp.double_divide (tptp.double_divide _let_161 tptp.identity) tptp.identity)))) (let ((_let_260 (= _let_249 (tptp.inverse _let_133)))) (let ((_let_261 (= (tptp.double_divide _let_228 tptp.identity) (tptp.inverse _let_228)))) (let ((_let_262 (= (tptp.double_divide _let_137 tptp.identity) (tptp.inverse _let_137)))) (let ((_let_263 (tptp.inverse _let_149))) (let ((_let_264 (= _let_254 _let_263))) (let ((_let_265 (tptp.inverse _let_157))) (let ((_let_266 (= _let_257 _let_265))) (let ((_let_267 (tptp.double_divide _let_96 _let_209))) (let ((_let_268 (= tptp.identity _let_267))) (let ((_let_269 (= tptp.identity (tptp.double_divide _let_212 _let_213)))) (let ((_let_270 (= tptp.identity (tptp.double_divide _let_164 _let_216)))) (let ((_let_271 (= tptp.identity (tptp.double_divide _let_92 (tptp.inverse _let_92))))) (let ((_let_272 (= _let_231 (tptp.double_divide _let_231 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_42 _let_230) tptp.identity) _let_232)))))) (let ((_let_273 (tptp.double_divide tptp.identity _let_149))) (let ((_let_274 (= _let_235 (tptp.double_divide _let_273 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_149 _let_234) tptp.identity) _let_236)))))) (let ((_let_275 (tptp.double_divide tptp.identity _let_157))) (let ((_let_276 (= _let_243 (tptp.double_divide _let_275 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_157 _let_242) tptp.identity) _let_244)))))) (let ((_let_277 (= _let_239 (tptp.double_divide _let_247 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_153 _let_238) tptp.identity) _let_240)))))) (let ((_let_278 (= _let_36 (tptp.double_divide _let_145 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_82) tptp.identity) _let_128)))))) (let ((_let_279 (= _let_67 (tptp.double_divide _let_145 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_79) tptp.identity) _let_126)))))) (let ((_let_280 (= _let_25 (tptp.double_divide _let_145 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_62) tptp.identity) _let_87)))))) (let ((_let_281 (= _let_11 (tptp.double_divide _let_145 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_27) tptp.identity) _let_42)))))) (let ((_let_282 (= _let_20 (tptp.double_divide _let_145 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_33) tptp.identity) _let_48)))))) (let ((_let_283 (= _let_17 (tptp.double_divide _let_145 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_31) tptp.identity) _let_46)))))) (let ((_let_284 (= _let_14 (tptp.double_divide _let_145 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_29) tptp.identity) _let_44)))))) (let ((_let_285 (tptp.double_divide tptp.identity _let_51))) (let ((_let_286 (= _let_212 (tptp.double_divide _let_285 (tptp.double_divide tptp.identity (tptp.double_divide _let_212 _let_214)))))) (let ((_let_287 (= _let_164 (tptp.double_divide (tptp.double_divide tptp.identity _let_71) (tptp.double_divide tptp.identity (tptp.double_divide _let_164 _let_165)))))) (let ((_let_288 (= (tptp.multiply _let_242 _let_243) (tptp.double_divide _let_244 tptp.identity)))) (let ((_let_289 (= (tptp.double_divide _let_273 tptp.identity) (tptp.inverse _let_273)))) (let ((_let_290 (= (tptp.double_divide _let_275 tptp.identity) (tptp.inverse _let_275)))) (let ((_let_291 (= (tptp.double_divide _let_189 tptp.identity) (tptp.inverse _let_189)))) (let ((_let_292 (tptp.double_divide _let_149 _let_263))) (let ((_let_293 (= tptp.identity _let_292))) (let ((_let_294 (= tptp.identity (tptp.double_divide _let_157 _let_265)))) (let ((_let_295 (tptp.double_divide tptp.identity _let_145))) (let ((_let_296 (= _let_133 (tptp.double_divide _let_295 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_145 _let_132) tptp.identity) _let_134)))))) (let ((_let_297 (= _let_137 (tptp.double_divide _let_295 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_145 _let_136) tptp.identity) _let_138)))))) (let ((_let_298 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_11 _let_3) tptp.identity) _let_20)))) (let ((_let_299 (tptp.double_divide _let_96 _let_298))) (let ((_let_300 (= tptp.c3 _let_299))) (let ((_let_301 (= tptp.c3 (tptp.double_divide _let_51 (tptp.double_divide tptp.identity (tptp.double_divide _let_21 _let_20)))))) (let ((_let_302 (= _let_1 (tptp.double_divide (tptp.double_divide tptp.identity _let_1) (tptp.double_divide tptp.identity (tptp.double_divide _let_15 _let_14)))))) (let ((_let_303 (= _let_96 (tptp.double_divide _let_145 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_209) tptp.identity) _let_267)))))) (let ((_let_304 (= _let_149 (tptp.double_divide _let_96 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_11 _let_148) tptp.identity) _let_150)))))) (let ((_let_305 (= _let_149 (tptp.double_divide _let_145 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_263) tptp.identity) _let_292)))))) (let ((_let_306 (= _let_189 (tptp.double_divide _let_149 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_12 _let_188) tptp.identity) _let_190)))))) (let ((_let_307 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_21 _let_298) tptp.identity) _let_299)))) (let ((_let_308 (tptp.double_divide _let_153 _let_307))) (let ((_let_309 (= _let_96 _let_308))) (let ((_let_310 (= _let_51 (tptp.double_divide _let_285 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_52 tptp.identity) _let_52)))))) (let ((_let_311 (tptp.double_divide tptp.identity (tptp.double_divide _let_12 _let_11)))) (let ((_let_312 (tptp.double_divide tptp.identity tptp.b3))) (let ((_let_313 (tptp.double_divide _let_312 _let_311))) (let ((_let_314 (= tptp.b3 _let_313))) (let ((_let_315 (tptp.double_divide tptp.identity _let_211))) (let ((_let_316 (= _let_312 (tptp.double_divide _let_315 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_211 _let_311) tptp.identity) _let_313)))))) (let ((_let_317 (tptp.inverse _let_312))) (let ((_let_318 (= (tptp.double_divide _let_312 tptp.identity) _let_317))) (let ((_let_319 (tptp.double_divide _let_312 _let_317))) (let ((_let_320 (= tptp.identity _let_319))) (let ((_let_321 (tptp.double_divide tptp.identity _let_312))) (let ((_let_322 (= _let_312 (tptp.double_divide _let_321 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_319 tptp.identity) _let_319)))))) (let ((_let_323 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_312 tptp.b3) tptp.identity) _let_17)))) (let ((_let_324 (tptp.double_divide _let_321 _let_323))) (let ((_let_325 (= tptp.c3 _let_324))) (let ((_let_326 (= _let_312 (tptp.double_divide _let_145 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_317) tptp.identity) _let_319)))))) (let ((_let_327 (= _let_313 (tptp.double_divide _let_231 (tptp.double_divide tptp.identity (tptp.double_divide _let_111 (tptp.double_divide _let_313 tptp.identity))))))) (let ((_let_328 (= _let_321 (tptp.double_divide _let_157 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_18 _let_323) tptp.identity) _let_324)))))) (let ((_let_329 (tptp.inverse tptp.a3))) (let ((_let_330 (tptp.double_divide tptp.a3 _let_329))) (let ((_let_331 (= tptp.identity _let_330))) (let ((_let_332 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_330 tptp.identity) _let_330)))) (let ((_let_333 (tptp.double_divide tptp.identity tptp.a3))) (let ((_let_334 (tptp.double_divide _let_333 _let_332))) (let ((_let_335 (= tptp.a3 _let_334))) (let ((_let_336 (= _let_333 (tptp.double_divide (tptp.double_divide tptp.identity _let_313) (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_313 _let_332) tptp.identity) _let_334)))))) (let ((_let_337 (= _let_333 (tptp.double_divide _let_157 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_18 _let_332) tptp.identity) _let_334)))))) (let ((_let_338 (= _let_153 (tptp.double_divide _let_275 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_157 _let_307) tptp.identity) _let_308)))))) (let ((_let_339 (= _let_14 (tptp.double_divide _let_100 (tptp.double_divide tptp.identity (tptp.double_divide _let_35 _let_15)))))) (let ((_let_340 (_let_9))) (let ((_let_341 (ASSUME :args _let_340))) (let ((_let_342 ((tptp.multiply A B)))) (let ((_let_343 ((tptp.double_divide B A)))) (let ((_let_344 (_let_8))) (let ((_let_345 (ASSUME :args _let_344))) (let ((_let_346 ((tptp.double_divide A tptp.identity)))) (let ((_let_347 (_let_7))) (let ((_let_348 (ASSUME :args _let_347))) (let ((_let_349 ((tptp.inverse A)))) (let ((_let_350 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide tptp.identity A) (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide A B) tptp.identity) (tptp.double_divide C B)))))))) (let ((_let_351 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_352 (_let_350))) (let ((_let_353 ((tptp.double_divide (tptp.double_divide (tptp.double_divide A B) tptp.identity) (tptp.double_divide C B))))) (let ((_let_354 (and _let_13 _let_16 _let_19 _let_22 _let_24 _let_26 _let_28 _let_30 _let_32 _let_34 _let_37 _let_40 _let_41 _let_43 _let_45 _let_47 _let_49 _let_53 _let_56 _let_59 _let_61 _let_63 _let_65 _let_68 _let_70 _let_73 _let_76 _let_78 _let_81 _let_83 _let_85 _let_86 _let_88 _let_89 _let_91 _let_95 _let_97 _let_99 _let_101 _let_103 _let_106 _let_109 _let_112 _let_114 _let_117 _let_119 _let_122 _let_124 _let_125 _let_127 _let_129 _let_131 _let_135 _let_139 _let_143 _let_147 _let_151 _let_155 _let_159 _let_163 _let_166 _let_167 _let_170 _let_172 _let_174 _let_177 _let_179 _let_182 _let_183 _let_184 _let_185 _let_186 _let_187 _let_191 _let_195 _let_199 _let_202 _let_203 _let_204 _let_205 _let_206 _let_207 _let_208 _let_210 _let_215 _let_217 _let_218 _let_219 _let_220 _let_221 _let_222 _let_223 _let_224 _let_226 _let_227 _let_229 _let_233 _let_237 _let_241 _let_245 _let_246 _let_248 _let_250 _let_252 _let_253 _let_255 _let_256 _let_258 _let_259 _let_260 _let_261 _let_262 _let_264 _let_266 _let_268 _let_269 _let_270 _let_271 _let_272 _let_274 _let_276 _let_277 _let_278 _let_279 _let_280 _let_281 _let_282 _let_283 _let_284 _let_286 _let_287 _let_288 _let_289 _let_290 _let_291 _let_293 _let_294 _let_296 _let_297 _let_300 _let_301 _let_302 _let_303 _let_304 _let_305 _let_306 _let_309 _let_310 _let_314 _let_316 _let_318 _let_320 _let_322 _let_325 _let_326 _let_327 _let_328 _let_331 _let_335 _let_336 _let_337 _let_338 _let_339))) (let ((_let_355 (ASSUME :args (_let_16)))) (let ((_let_356 (ASSUME :args (_let_30)))) (let ((_let_357 (SYMM _let_356))) (let ((_let_358 (APPLY_UF tptp.inverse))) (let ((_let_359 (ASSUME :args (_let_284)))) (let ((_let_360 (SYMM _let_359))) (let ((_let_361 (APPLY_UF tptp.double_divide))) (let ((_let_362 (ASSUME :args (_let_45)))) (let ((_let_363 (REFL :args 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(TRANS (TRANS _let_835 _let_834 _let_576 _let_573) _let_574) (TRANS (CONG _let_373 (TRANS (CONG (TRANS (TRANS (CONG (TRANS (TRANS _let_571 _let_366 _let_455 _let_454 _let_453 _let_387 _let_390) _let_527 _let_373) _let_488 :args _let_361) _let_375 _let_366 _let_455 _let_454 _let_453 _let_387 _let_390) _let_527 _let_373) (TRANS _let_571 _let_366 _let_455 _let_454 _let_453 _let_387 _let_390 _let_378) :args _let_361) _let_375 _let_366 _let_455 _let_454 _let_453 _let_387 _let_390 _let_378) :args _let_361) _let_375) :args _let_361))) (let ((_let_837 (ASSUME :args (_let_322)))) (let ((_let_838 (SYMM _let_837))) (let ((_let_839 (ASSUME :args (_let_260)))) (let ((_let_840 (ASSUME :args (_let_268)))) (let ((_let_841 (ASSUME :args (_let_210)))) (let ((_let_842 (ASSUME :args (_let_303)))) (let ((_let_843 (ASSUME :args (_let_309)))) (let ((_let_844 (ASSUME :args (_let_328)))) (let ((_let_845 (ASSUME :args (_let_325)))) (let ((_let_846 (ASSUME :args (_let_300)))) (let ((_let_847 (ASSUME :args 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_let_288 false _let_287 false _let_286 false _let_284 false _let_283 false _let_282 false _let_281 false _let_280 false _let_279 false _let_278 false _let_277 false _let_276 false _let_274 false _let_272 false _let_271 false _let_270 false _let_269 false _let_268 false _let_266 false _let_264 false _let_262 false _let_261 false _let_260 false _let_259 false _let_258 false _let_256 false _let_255 false _let_253 false _let_252 false _let_250 false _let_248 false _let_246 false _let_245 false _let_241 false _let_237 false _let_233 false _let_229 false _let_227 false _let_226 false _let_224 false _let_223 false _let_222 false _let_221 false _let_220 false _let_219 false _let_218 false _let_217 false _let_215 false _let_210 false _let_208 false _let_207 false _let_206 false _let_205 false _let_204 false _let_203 false _let_202 false _let_199 false _let_195 false _let_191 false _let_187 false _let_186 false _let_185 false _let_184 false _let_183 false _let_182 false _let_179 false _let_177 false _let_174 false _let_172 false _let_170 false _let_167 false _let_166 false _let_163 false _let_159 false _let_155 false _let_151 false _let_147 false _let_143 false _let_139 false _let_135 false _let_131 false _let_129 false _let_127 false _let_125 false _let_124 false _let_122 false _let_119 false _let_117 false _let_114 false _let_112 false _let_109 false _let_106 false _let_103 false _let_101 false _let_99 false _let_97 false _let_95 false _let_91 false _let_89 false _let_88 false _let_86 false _let_85 false _let_83 false _let_81 false _let_78 false _let_76 false _let_73 false _let_70 false _let_68 false _let_65 false _let_63 false _let_61 false _let_59 false _let_56 false _let_53 false _let_49 false _let_47 false _let_45 false _let_43 false _let_41 false _let_40 false _let_37 false _let_34 false _let_32 false _let_30 false _let_28 false _let_26 false _let_24 false _let_22 false _let_19 false _let_16 false _let_13 true _let_5)) :args (_let_10 _let_9 _let_8 _let_7 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.90/1.06 )
% 0.90/1.06 % SZS output end Proof for GRP492-1
% 0.90/1.07 % cvc5---1.0.5 exiting
% 0.90/1.07 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------