TSTP Solution File: GRP576-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP576-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 00:26:29 EDT 2023

% Result   : Unsatisfiable 1.19s 1.44s
% Output   : Proof 1.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP576-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.03/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 21:17:28 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.DbCIjFYqwY/cvc5---1.0.5_13355.p...
% 0.19/0.48  ------- get file name : TPTP file name is GRP576-1
% 0.19/0.48  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13355.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.19/1.44  % SZS status Unsatisfiable for GRP576-1
% 1.19/1.44  % SZS output start Proof for GRP576-1
% 1.30/1.48  (
% 1.30/1.48  (let ((_let_1 (tptp.multiply tptp.b tptp.a))) (let ((_let_2 (tptp.multiply tptp.a tptp.b))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide B (tptp.double_divide C A)) (tptp.double_divide C tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) B)))) (let ((_let_9 (tptp.double_divide tptp.b tptp.a))) (let ((_let_10 (tptp.double_divide _let_9 tptp.identity))) (let ((_let_11 (= _let_2 _let_10))) (let ((_let_12 (tptp.double_divide tptp.a tptp.b))) (let ((_let_13 (tptp.double_divide _let_12 tptp.identity))) (let ((_let_14 (= _let_1 _let_13))) (let ((_let_15 (tptp.double_divide _let_10 tptp.identity))) (let ((_let_16 (= (tptp.multiply tptp.identity _let_9) _let_15))) (let ((_let_17 (tptp.inverse _let_9))) (let ((_let_18 (= _let_10 _let_17))) (let ((_let_19 (tptp.inverse _let_12))) (let ((_let_20 (= _let_13 _let_19))) (let ((_let_21 (tptp.double_divide _let_15 tptp.identity))) (let ((_let_22 (= (tptp.multiply tptp.identity _let_10) _let_21))) (let ((_let_23 (tptp.inverse _let_10))) (let ((_let_24 (= _let_15 _let_23))) (let ((_let_25 (tptp.inverse _let_13))) (let ((_let_26 (tptp.double_divide _let_13 tptp.identity))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (= tptp.identity (tptp.double_divide _let_9 _let_17)))) (let ((_let_29 (tptp.double_divide _let_12 _let_19))) (let ((_let_30 (= tptp.identity _let_29))) (let ((_let_31 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_32 (tptp.double_divide _let_9 _let_29))) (let ((_let_33 (tptp.double_divide _let_32 _let_13))) (let ((_let_34 (tptp.double_divide _let_19 _let_33))) (let ((_let_35 (tptp.double_divide _let_34 _let_31))) (let ((_let_36 (= _let_9 _let_35))) (let ((_let_37 (tptp.double_divide (tptp.double_divide _let_12 _let_29) _let_13))) (let ((_let_38 (tptp.double_divide _let_19 _let_37))) (let ((_let_39 (tptp.double_divide _let_38 _let_31))) (let ((_let_40 (= _let_12 _let_39))) (let ((_let_41 (tptp.double_divide _let_10 _let_29))) (let ((_let_42 (tptp.double_divide _let_41 _let_13))) (let ((_let_43 (tptp.double_divide _let_19 _let_42))) (let ((_let_44 (tptp.double_divide _let_43 _let_31))) (let ((_let_45 (= _let_10 _let_44))) (let ((_let_46 (tptp.double_divide _let_13 _let_29))) (let ((_let_47 (tptp.double_divide _let_19 (tptp.double_divide _let_46 _let_13)))) (let ((_let_48 (tptp.double_divide _let_47 _let_31))) (let ((_let_49 (= _let_13 _let_48))) (let ((_let_50 (tptp.double_divide _let_15 _let_29))) (let ((_let_51 (tptp.double_divide _let_50 _let_13))) (let ((_let_52 (tptp.double_divide _let_19 _let_51))) (let ((_let_53 (tptp.double_divide _let_52 _let_31))) (let ((_let_54 (= _let_15 _let_53))) (let ((_let_55 (tptp.double_divide _let_26 _let_29))) (let ((_let_56 (tptp.double_divide _let_19 (tptp.double_divide _let_55 _let_13)))) (let ((_let_57 (tptp.double_divide _let_56 _let_31))) (let ((_let_58 (= _let_26 _let_57))) (let ((_let_59 (tptp.double_divide _let_9 _let_10))) (let ((_let_60 (tptp.double_divide _let_59 _let_10))) (let ((_let_61 (tptp.double_divide tptp.identity _let_60))) (let ((_let_62 (tptp.double_divide _let_61 _let_31))) (let ((_let_63 (= _let_9 _let_62))) (let ((_let_64 (tptp.double_divide _let_12 _let_13))) (let ((_let_65 (tptp.double_divide _let_64 _let_13))) (let ((_let_66 (tptp.double_divide tptp.identity _let_65))) (let ((_let_67 (tptp.double_divide _let_66 _let_31))) (let ((_let_68 (= _let_12 _let_67))) (let ((_let_69 (tptp.double_divide _let_21 tptp.identity))) (let ((_let_70 (= (tptp.multiply tptp.identity _let_15) _let_69))) (let ((_let_71 (tptp.inverse _let_15))) (let ((_let_72 (= _let_21 _let_71))) (let ((_let_73 (tptp.inverse _let_26))) (let ((_let_74 (tptp.double_divide _let_26 tptp.identity))) (let ((_let_75 (= _let_74 _let_73))) (let ((_let_76 (= tptp.identity (tptp.double_divide _let_10 _let_23)))) (let ((_let_77 (tptp.double_divide _let_13 _let_25))) (let ((_let_78 (= tptp.identity _let_77))) (let ((_let_79 (tptp.double_divide _let_9 _let_77))) (let ((_let_80 (tptp.double_divide _let_79 _let_26))) (let ((_let_81 (tptp.double_divide _let_25 _let_80))) (let ((_let_82 (tptp.double_divide _let_81 _let_31))) (let ((_let_83 (= _let_9 _let_82))) (let ((_let_84 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide _let_12 _let_77) _let_26)))) (let ((_let_85 (tptp.double_divide _let_84 _let_31))) (let ((_let_86 (= _let_12 _let_85))) (let ((_let_87 (tptp.double_divide _let_10 _let_77))) (let ((_let_88 (tptp.double_divide _let_25 (tptp.double_divide _let_87 _let_26)))) (let ((_let_89 (tptp.double_divide _let_88 _let_31))) (let ((_let_90 (= _let_10 _let_89))) (let ((_let_91 (tptp.double_divide _let_13 _let_77))) (let ((_let_92 (= _let_13 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_91 _let_26)) _let_31)))) (let ((_let_93 (tptp.double_divide _let_15 _let_77))) (let ((_let_94 (tptp.double_divide _let_93 _let_26))) (let ((_let_95 (tptp.double_divide _let_25 _let_94))) (let ((_let_96 (tptp.double_divide _let_95 _let_31))) (let ((_let_97 (= _let_15 _let_96))) (let ((_let_98 (tptp.double_divide _let_26 _let_77))) (let ((_let_99 (= _let_26 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_98 _let_26)) _let_31)))) (let ((_let_100 (tptp.double_divide _let_43 tptp.identity))) (let ((_let_101 (tptp.double_divide _let_9 _let_44))) (let ((_let_102 (tptp.double_divide _let_31 (tptp.double_divide _let_101 _let_100)))) (let ((_let_103 (= _let_9 (tptp.double_divide _let_102 _let_31)))) (let ((_let_104 (tptp.double_divide _let_47 tptp.identity))) (let ((_let_105 (tptp.double_divide _let_12 _let_48))) (let ((_let_106 (tptp.double_divide _let_105 _let_104))) (let ((_let_107 (tptp.double_divide _let_31 _let_106))) (let ((_let_108 (tptp.double_divide _let_107 _let_31))) (let ((_let_109 (= _let_12 _let_108))) (let ((_let_110 (tptp.double_divide tptp.identity _let_77))) (let ((_let_111 (tptp.double_divide _let_25 (tptp.double_divide _let_110 _let_26)))) (let ((_let_112 (tptp.double_divide _let_111 _let_31))) (let ((_let_113 (= tptp.identity _let_112))) (let ((_let_114 (tptp.double_divide _let_32 _let_48))) (let ((_let_115 (tptp.double_divide _let_31 (tptp.double_divide _let_114 _let_104)))) (let ((_let_116 (tptp.double_divide _let_115 _let_31))) (let ((_let_117 (= _let_32 _let_116))) (let ((_let_118 (tptp.double_divide _let_35 _let_31))) (let ((_let_119 (tptp.double_divide tptp.identity _let_118))) (let ((_let_120 (tptp.double_divide _let_119 _let_31))) (let ((_let_121 (= _let_34 _let_120))) (let ((_let_122 (tptp.double_divide _let_39 _let_31))) (let ((_let_123 (tptp.double_divide tptp.identity _let_122))) (let ((_let_124 (tptp.double_divide _let_123 _let_31))) (let ((_let_125 (= _let_38 _let_124))) (let ((_let_126 (tptp.double_divide _let_41 _let_48))) (let ((_let_127 (tptp.double_divide _let_126 _let_104))) (let ((_let_128 (tptp.double_divide _let_31 _let_127))) (let ((_let_129 (tptp.double_divide _let_128 _let_31))) (let ((_let_130 (= _let_41 _let_129))) (let ((_let_131 (tptp.double_divide _let_41 tptp.identity))) (let ((_let_132 (tptp.double_divide _let_43 _let_131))) (let ((_let_133 (tptp.double_divide _let_13 _let_132))) (let ((_let_134 (tptp.double_divide _let_133 _let_31))) (let ((_let_135 (= _let_19 _let_134))) (let ((_let_136 (tptp.double_divide _let_44 _let_31))) (let ((_let_137 (tptp.double_divide tptp.identity _let_136))) (let ((_let_138 (tptp.double_divide _let_137 _let_31))) (let ((_let_139 (= _let_43 _let_138))) (let ((_let_140 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_46 _let_48) _let_104)))) (let ((_let_141 (tptp.double_divide _let_140 _let_31))) (let ((_let_142 (= _let_46 _let_141))) (let ((_let_143 (tptp.double_divide _let_48 _let_31))) (let ((_let_144 (tptp.double_divide tptp.identity _let_143))) (let ((_let_145 (tptp.double_divide _let_144 _let_31))) (let ((_let_146 (= _let_47 _let_145))) (let ((_let_147 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_50 _let_48) _let_104)))) (let ((_let_148 (tptp.double_divide _let_147 _let_31))) (let ((_let_149 (= _let_50 _let_148))) (let ((_let_150 (tptp.double_divide _let_53 _let_31))) (let ((_let_151 (tptp.double_divide tptp.identity _let_150))) (let ((_let_152 (tptp.double_divide _let_151 _let_31))) (let ((_let_153 (= _let_52 _let_152))) (let ((_let_154 (= _let_55 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_55 _let_48) _let_104)) _let_31)))) (let ((_let_155 (tptp.double_divide tptp.identity (tptp.double_divide _let_57 _let_31)))) (let ((_let_156 (tptp.double_divide _let_155 _let_31))) (let ((_let_157 (= _let_56 _let_156))) (let ((_let_158 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_59 _let_44) _let_100)))) (let ((_let_159 (tptp.double_divide _let_158 _let_31))) (let ((_let_160 (= _let_59 _let_159))) (let ((_let_161 (tptp.double_divide _let_61 (tptp.double_divide _let_59 tptp.identity)))) (let ((_let_162 (tptp.double_divide _let_10 _let_161))) (let ((_let_163 (tptp.double_divide _let_162 _let_31))) (let ((_let_164 (= tptp.identity _let_163))) (let ((_let_165 (= _let_61 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_31)) _let_31)))) (let ((_let_166 (tptp.double_divide _let_13 (tptp.double_divide _let_66 (tptp.double_divide _let_64 tptp.identity))))) (let ((_let_167 (tptp.double_divide _let_166 _let_31))) (let ((_let_168 (= tptp.identity _let_167))) (let ((_let_169 (= _let_66 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_67 _let_31)) _let_31)))) (let ((_let_170 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide _let_21 _let_77) _let_26)))) (let ((_let_171 (tptp.double_divide _let_170 _let_31))) (let ((_let_172 (= _let_21 _let_171))) (let ((_let_173 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide _let_74 _let_77) _let_26)))) (let ((_let_174 (tptp.double_divide _let_173 _let_31))) (let ((_let_175 (= _let_74 _let_174))) (let ((_let_176 (tptp.double_divide _let_52 tptp.identity))) (let ((_let_177 (tptp.double_divide _let_10 _let_53))) (let ((_let_178 (tptp.double_divide _let_177 _let_176))) (let ((_let_179 (tptp.double_divide _let_31 _let_178))) (let ((_let_180 (tptp.double_divide _let_179 _let_31))) (let ((_let_181 (= _let_10 _let_180))) (let ((_let_182 (tptp.double_divide _let_60 tptp.identity))) (let ((_let_183 (= (tptp.multiply _let_10 _let_59) _let_182))) (let ((_let_184 (= (tptp.multiply _let_13 _let_64) (tptp.double_divide _let_65 tptp.identity)))) (let ((_let_185 (tptp.double_divide _let_33 tptp.identity))) (let ((_let_186 (= (tptp.multiply _let_13 _let_32) _let_185))) (let ((_let_187 (= (tptp.multiply tptp.identity _let_21) (tptp.double_divide _let_69 tptp.identity)))) (let ((_let_188 (tptp.double_divide _let_51 tptp.identity))) (let ((_let_189 (= (tptp.multiply _let_13 _let_50) _let_188))) (let ((_let_190 (= (tptp.multiply _let_31 _let_38) (tptp.double_divide _let_39 tptp.identity)))) (let ((_let_191 (= (tptp.multiply _let_31 _let_52) (tptp.double_divide _let_53 tptp.identity)))) (let ((_let_192 (= (tptp.multiply _let_31 _let_56) (tptp.double_divide _let_57 tptp.identity)))) (let ((_let_193 (tptp.inverse tptp.identity))) (let ((_let_194 (= _let_31 _let_193))) (let ((_let_195 (tptp.inverse _let_21))) (let ((_let_196 (= _let_69 _let_195))) (let ((_let_197 (tptp.inverse _let_74))) (let ((_let_198 (tptp.double_divide _let_74 tptp.identity))) (let ((_let_199 (= _let_198 _let_197))) (let ((_let_200 (= tptp.identity (tptp.double_divide _let_15 _let_71)))) (let ((_let_201 (tptp.double_divide _let_26 _let_73))) (let ((_let_202 (= tptp.identity _let_201))) (let ((_let_203 (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_12 _let_201) _let_74)))) (let ((_let_204 (= _let_12 (tptp.double_divide _let_203 _let_31)))) (let ((_let_205 (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_13 _let_201) _let_74)))) (let ((_let_206 (= _let_13 (tptp.double_divide _let_205 _let_31)))) (let ((_let_207 (tptp.double_divide _let_15 _let_201))) (let ((_let_208 (tptp.double_divide _let_73 (tptp.double_divide _let_207 _let_74)))) (let ((_let_209 (= _let_15 (tptp.double_divide _let_208 _let_31)))) (let ((_let_210 (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_26 _let_201) _let_74)))) (let ((_let_211 (= _let_26 (tptp.double_divide _let_210 _let_31)))) (let ((_let_212 (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide tptp.identity _let_201) _let_74)))) (let ((_let_213 (= tptp.identity (tptp.double_divide _let_212 _let_31)))) (let ((_let_214 (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_21 _let_201) _let_74)))) (let ((_let_215 (= _let_21 (tptp.double_divide _let_214 _let_31)))) (let ((_let_216 (tptp.double_divide _let_26 (tptp.double_divide _let_81 (tptp.double_divide _let_79 tptp.identity))))) (let ((_let_217 (= _let_25 (tptp.double_divide _let_216 _let_31)))) (let ((_let_218 (= _let_81 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_82 _let_31)) _let_31)))) (let ((_let_219 (= _let_84 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_85 _let_31)) _let_31)))) (let ((_let_220 (tptp.double_divide _let_26 (tptp.double_divide _let_88 (tptp.double_divide _let_87 tptp.identity))))) (let ((_let_221 (= _let_25 (tptp.double_divide _let_220 _let_31)))) (let ((_let_222 (= _let_88 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_89 _let_31)) _let_31)))) (let ((_let_223 (tptp.double_divide _let_140 tptp.identity))) (let ((_let_224 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_91 _let_141) _let_223)))) (let ((_let_225 (= _let_91 (tptp.double_divide _let_224 _let_31)))) (let ((_let_226 (tptp.double_divide _let_93 _let_141))) (let ((_let_227 (tptp.double_divide _let_31 (tptp.double_divide _let_226 _let_223)))) (let ((_let_228 (= _let_93 (tptp.double_divide _let_227 _let_31)))) (let ((_let_229 (tptp.double_divide _let_26 (tptp.double_divide _let_95 (tptp.double_divide _let_93 tptp.identity))))) (let ((_let_230 (= _let_25 (tptp.double_divide _let_229 _let_31)))) (let ((_let_231 (= _let_95 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_96 _let_31)) _let_31)))) (let ((_let_232 (= _let_98 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_98 _let_141) _let_223)) _let_31)))) (let ((_let_233 (tptp.double_divide _let_100 (tptp.double_divide _let_102 (tptp.double_divide _let_101 tptp.identity))))) (let ((_let_234 (= _let_31 (tptp.double_divide _let_233 _let_31)))) (let ((_let_235 (tptp.double_divide tptp.identity (tptp.double_divide _let_106 _let_104)))) (let ((_let_236 (= _let_105 (tptp.double_divide _let_235 _let_31)))) (let ((_let_237 (tptp.double_divide _let_104 (tptp.double_divide _let_107 (tptp.double_divide _let_105 tptp.identity))))) (let ((_let_238 (= _let_31 (tptp.double_divide _let_237 _let_31)))) (let ((_let_239 (= _let_107 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_108 _let_31)) _let_31)))) (let ((_let_240 (tptp.double_divide _let_26 (tptp.double_divide _let_111 (tptp.double_divide _let_110 tptp.identity))))) (let ((_let_241 (= _let_25 (tptp.double_divide _let_240 _let_31)))) (let ((_let_242 (tptp.double_divide tptp.identity (tptp.double_divide _let_112 _let_31)))) (let ((_let_243 (= _let_111 (tptp.double_divide _let_242 _let_31)))) (let ((_let_244 (= _let_115 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_116 _let_31)) _let_31)))) (let ((_let_245 (tptp.double_divide _let_128 tptp.identity))) (let ((_let_246 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_34 _let_129) _let_245)))) (let ((_let_247 (= _let_34 (tptp.double_divide _let_246 _let_31)))) (let ((_let_248 (tptp.double_divide tptp.identity (tptp.double_divide _let_118 _let_31)))) (let ((_let_249 (= _let_35 (tptp.double_divide _let_248 _let_31)))) (let ((_let_250 (tptp.double_divide tptp.identity (tptp.double_divide _let_120 _let_31)))) (let ((_let_251 (= _let_119 (tptp.double_divide _let_250 _let_31)))) (let ((_let_252 (tptp.double_divide tptp.identity (tptp.double_divide _let_122 _let_31)))) (let ((_let_253 (= _let_39 (tptp.double_divide _let_252 _let_31)))) (let ((_let_254 (= _let_123 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_124 _let_31)) _let_31)))) (let ((_let_255 (tptp.double_divide tptp.identity (tptp.double_divide _let_127 _let_104)))) (let ((_let_256 (= _let_126 (tptp.double_divide _let_255 _let_31)))) (let ((_let_257 (tptp.double_divide _let_126 tptp.identity))) (let ((_let_258 (tptp.double_divide _let_128 _let_257))) (let ((_let_259 (tptp.double_divide _let_104 _let_258))) (let ((_let_260 (= _let_31 (tptp.double_divide _let_259 _let_31)))) (let ((_let_261 (= _let_128 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_129 _let_31)) _let_31)))) (let ((_let_262 (tptp.double_divide _let_170 tptp.identity))) (let ((_let_263 (= _let_43 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_43 _let_171) _let_262)) _let_31)))) (let ((_let_264 (= _let_133 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_134 _let_31)) _let_31)))) (let ((_let_265 (tptp.double_divide tptp.identity (tptp.double_divide _let_136 _let_31)))) (let ((_let_266 (= _let_44 (tptp.double_divide _let_265 _let_31)))) (let ((_let_267 (tptp.double_divide tptp.identity (tptp.double_divide _let_138 _let_31)))) (let ((_let_268 (= _let_137 (tptp.double_divide _let_267 _let_31)))) (let ((_let_269 (= _let_140 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_141 _let_31)) _let_31)))) (let ((_let_270 (= _let_144 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_145 _let_31)) _let_31)))) (let ((_let_271 (= _let_147 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_148 _let_31)) _let_31)))) (let ((_let_272 (tptp.double_divide _let_52 _let_69))) (let ((_let_273 (tptp.double_divide tptp.identity (tptp.double_divide _let_272 _let_69)))) (let ((_let_274 (= _let_52 (tptp.double_divide _let_273 _let_31)))) (let ((_let_275 (tptp.double_divide tptp.identity (tptp.double_divide _let_150 _let_31)))) (let ((_let_276 (= _let_53 (tptp.double_divide _let_275 _let_31)))) (let ((_let_277 (= _let_151 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_152 _let_31)) _let_31)))) (let ((_let_278 (= _let_155 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_156 _let_31)) _let_31)))) (let ((_let_279 (= _let_158 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_159 _let_31)) _let_31)))) (let ((_let_280 (tptp.double_divide tptp.b tptp.identity))) (let ((_let_281 (= _let_10 (tptp.double_divide (tptp.double_divide tptp.a (tptp.double_divide (tptp.double_divide _let_10 _let_9) _let_280)) _let_31)))) (let ((_let_282 (= _let_162 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_163 _let_31)) _let_31)))) (let ((_let_283 (tptp.double_divide tptp.a tptp.identity))) (let ((_let_284 (tptp.double_divide _let_13 _let_12))) (let ((_let_285 (tptp.double_divide _let_284 _let_283))) (let ((_let_286 (tptp.double_divide tptp.b _let_285))) (let ((_let_287 (= _let_13 (tptp.double_divide _let_286 _let_31)))) (let ((_let_288 (= _let_166 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_167 _let_31)) _let_31)))) (let ((_let_289 (= _let_170 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_171 _let_31)) _let_31)))) (let ((_let_290 (= _let_173 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_174 _let_31)) _let_31)))) (let ((_let_291 (tptp.double_divide _let_52 _let_201))) (let ((_let_292 (= _let_52 (tptp.double_divide (tptp.double_divide _let_73 (tptp.double_divide _let_291 _let_74)) _let_31)))) (let ((_let_293 (= _let_179 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_180 _let_31)) _let_31)))) (let ((_let_294 (= _let_56 (tptp.double_divide (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_56 _let_201) _let_74)) _let_31)))) (let ((_let_295 (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_31 _let_201) _let_74)))) (let ((_let_296 (tptp.double_divide _let_295 _let_31))) (let ((_let_297 (= _let_31 _let_296))) (let ((_let_298 (= _let_60 (tptp.double_divide (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_60 _let_201) _let_74)) _let_31)))) (let ((_let_299 (= _let_65 (tptp.double_divide (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_65 _let_201) _let_74)) _let_31)))) (let ((_let_300 (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_61 _let_201) _let_74)))) (let ((_let_301 (= _let_61 (tptp.double_divide _let_300 _let_31)))) (let ((_let_302 (tptp.double_divide _let_33 _let_201))) (let ((_let_303 (tptp.double_divide _let_73 (tptp.double_divide _let_302 _let_74)))) (let ((_let_304 (tptp.double_divide _let_303 _let_31))) (let ((_let_305 (= _let_33 _let_304))) (let ((_let_306 (tptp.double_divide _let_42 _let_201))) (let ((_let_307 (tptp.double_divide _let_73 (tptp.double_divide _let_306 _let_74)))) (let ((_let_308 (= _let_42 (tptp.double_divide _let_307 _let_31)))) (let ((_let_309 (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_69 _let_201) _let_74)))) (let ((_let_310 (= _let_69 (tptp.double_divide _let_309 _let_31)))) (let ((_let_311 (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_51 _let_201) _let_74)))) (let ((_let_312 (tptp.double_divide _let_311 _let_31))) (let ((_let_313 (= _let_51 _let_312))) (let ((_let_314 (tptp.double_divide _let_73 (tptp.double_divide (tptp.double_divide _let_198 _let_201) _let_74)))) (let ((_let_315 (= _let_198 (tptp.double_divide _let_314 _let_31)))) (let ((_let_316 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_15 _let_171) _let_262)))) (let ((_let_317 (= _let_15 (tptp.double_divide _let_316 _let_31)))) (let ((_let_318 (= _let_26 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_26 _let_174) (tptp.double_divide _let_173 tptp.identity))) _let_31)))) (let ((_let_319 (= (tptp.multiply _let_136 tptp.identity) (tptp.double_divide _let_137 tptp.identity)))) (let ((_let_320 (= (tptp.multiply _let_143 tptp.identity) (tptp.double_divide _let_144 tptp.identity)))) (let ((_let_321 (= (tptp.multiply _let_118 tptp.identity) (tptp.double_divide _let_119 tptp.identity)))) (let ((_let_322 (= (tptp.multiply _let_122 tptp.identity) (tptp.double_divide _let_123 tptp.identity)))) (let ((_let_323 (= (tptp.multiply _let_176 _let_177) (tptp.double_divide _let_178 tptp.identity)))) (let ((_let_324 (tptp.double_divide _let_56 tptp.identity))) (let ((_let_325 (tptp.double_divide _let_13 _let_57))) (let ((_let_326 (= (tptp.multiply _let_324 _let_325) (tptp.double_divide (tptp.double_divide _let_325 _let_324) tptp.identity)))) (let ((_let_327 (= (tptp.multiply _let_161 _let_10) (tptp.double_divide _let_162 tptp.identity)))) (let ((_let_328 (tptp.double_divide _let_80 tptp.identity))) (let ((_let_329 (= (tptp.multiply _let_26 _let_79) _let_328))) (let ((_let_330 (= (tptp.multiply _let_31 _let_44) (tptp.double_divide _let_136 tptp.identity)))) (let ((_let_331 (= (tptp.multiply _let_31 _let_35) (tptp.double_divide _let_118 tptp.identity)))) (let ((_let_332 (= (tptp.multiply _let_31 _let_53) (tptp.double_divide _let_150 tptp.identity)))) (let ((_let_333 (= (tptp.multiply _let_26 _let_93) (tptp.double_divide _let_94 tptp.identity)))) (let ((_let_334 (= (tptp.multiply tptp.identity _let_52) (tptp.double_divide _let_176 tptp.identity)))) (let ((_let_335 (tptp.double_divide _let_50 tptp.identity))) (let ((_let_336 (tptp.double_divide _let_52 _let_335))) (let ((_let_337 (= (tptp.multiply _let_335 _let_52) (tptp.double_divide _let_336 tptp.identity)))) (let ((_let_338 (tptp.double_divide _let_185 tptp.identity))) (let ((_let_339 (= (tptp.multiply tptp.identity _let_33) _let_338))) (let ((_let_340 (= (tptp.multiply _let_31 _let_137) (tptp.double_divide _let_138 tptp.identity)))) (let ((_let_341 (= (tptp.multiply tptp.identity _let_51) (tptp.double_divide _let_188 tptp.identity)))) (let ((_let_342 (= (tptp.multiply tptp.identity _let_60) (tptp.double_divide _let_182 tptp.identity)))) (let ((_let_343 (= (tptp.multiply _let_31 _let_119) (tptp.double_divide _let_120 tptp.identity)))) (let ((_let_344 (= _let_104 (tptp.inverse _let_47)))) (let ((_let_345 (= _let_324 (tptp.inverse _let_56)))) (let ((_let_346 (= (tptp.double_divide _let_198 tptp.identity) (tptp.inverse _let_198)))) (let ((_let_347 (tptp.inverse _let_42))) (let ((_let_348 (tptp.double_divide _let_42 tptp.identity))) (let ((_let_349 (= _let_348 _let_347))) (let ((_let_350 (= _let_182 (tptp.inverse _let_60)))) (let ((_let_351 (= tptp.identity (tptp.double_divide tptp.identity _let_193)))) (let ((_let_352 (= tptp.identity (tptp.double_divide _let_21 _let_195)))) (let ((_let_353 (tptp.double_divide _let_74 _let_197))) (let ((_let_354 (= tptp.identity _let_353))) (let ((_let_355 (tptp.double_divide _let_295 tptp.identity))) (let ((_let_356 (= _let_47 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_47 _let_296) _let_355)) _let_31)))) (let ((_let_357 (= _let_19 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_19 _let_312) (tptp.double_divide _let_311 tptp.identity))) _let_31)))) (let ((_let_358 (= _let_52 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_52 _let_296) _let_355)) _let_31)))) (let ((_let_359 (= _let_56 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_56 _let_296) _let_355)) _let_31)))) (let ((_let_360 (= _let_111 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_111 _let_296) _let_355)) _let_31)))) (let ((_let_361 (= _let_147 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_147 _let_296) _let_355)) _let_31)))) (let ((_let_362 (tptp.double_divide (tptp.double_divide _let_42 _let_353) _let_198))) (let ((_let_363 (tptp.double_divide _let_197 _let_362))) (let ((_let_364 (= _let_42 (tptp.double_divide _let_363 _let_31)))) (let ((_let_365 (tptp.double_divide _let_31 tptp.identity))) (let ((_let_366 (tptp.double_divide _let_10 _let_201))) (let ((_let_367 (= _let_366 (tptp.double_divide (tptp.double_divide _let_106 (tptp.double_divide (tptp.double_divide _let_366 _let_107) _let_365)) _let_31)))) (let ((_let_368 (= _let_205 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_205 _let_296) _let_355)) _let_31)))) (let ((_let_369 (= _let_208 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_208 _let_296) _let_355)) _let_31)))) (let ((_let_370 (= _let_210 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_210 _let_296) _let_355)) _let_31)))) (let ((_let_371 (= _let_212 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_212 _let_296) _let_355)) _let_31)))) (let ((_let_372 (= _let_214 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_214 _let_296) _let_355)) _let_31)))) (let ((_let_373 (tptp.double_divide _let_79 _let_141))) (let ((_let_374 (tptp.double_divide _let_373 _let_223))) (let ((_let_375 (tptp.double_divide _let_223 (tptp.double_divide (tptp.double_divide _let_31 _let_374) (tptp.double_divide _let_373 tptp.identity))))) (let ((_let_376 (= _let_31 (tptp.double_divide _let_375 _let_31)))) (let ((_let_377 (= _let_216 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_216 _let_296) _let_355)) _let_31)))) (let ((_let_378 (tptp.double_divide _let_26 _let_132))) (let ((_let_379 (tptp.double_divide _let_378 _let_100))) (let ((_let_380 (tptp.double_divide _let_131 _let_379))) (let ((_let_381 (= _let_26 (tptp.double_divide _let_380 _let_31)))) (let ((_let_382 (= _let_220 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_220 _let_296) _let_355)) _let_31)))) (let ((_let_383 (= _let_224 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_224 _let_296) _let_355)) _let_31)))) (let ((_let_384 (= _let_226 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_226 _let_324) _let_324)) _let_31)))) (let ((_let_385 (= _let_227 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_227 _let_296) _let_355)) _let_31)))) (let ((_let_386 (= _let_26 (tptp.double_divide (tptp.double_divide _let_335 (tptp.double_divide (tptp.double_divide _let_26 _let_336) _let_176)) _let_31)))) (let ((_let_387 (= _let_229 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_229 _let_296) _let_355)) _let_31)))) (let ((_let_388 (tptp.double_divide _let_43 _let_201))) (let ((_let_389 (= _let_388 (tptp.double_divide (tptp.double_divide _let_106 (tptp.double_divide (tptp.double_divide _let_388 _let_107) _let_365)) _let_31)))) (let ((_let_390 (= _let_233 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_233 _let_296) _let_355)) _let_31)))) (let ((_let_391 (= _let_235 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_235 _let_296) _let_355)) _let_31)))) (let ((_let_392 (= _let_237 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_237 _let_296) _let_355)) _let_31)))) (let ((_let_393 (= _let_240 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_240 _let_296) _let_355)) _let_31)))) (let ((_let_394 (= _let_112 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_112 _let_296) _let_355)) _let_31)))) (let ((_let_395 (= _let_242 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_242 _let_296) _let_355)) _let_31)))) (let ((_let_396 (tptp.double_divide _let_115 _let_185))) (let ((_let_397 (tptp.double_divide _let_396 _let_185))) (let ((_let_398 (tptp.double_divide tptp.identity _let_397))) (let ((_let_399 (= _let_115 (tptp.double_divide _let_398 _let_31)))) (let ((_let_400 (= _let_250 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_250 _let_296) _let_355)) _let_31)))) (let ((_let_401 (tptp.double_divide _let_127 tptp.identity))) (let ((_let_402 (tptp.double_divide _let_104 (tptp.double_divide _let_255 _let_401)))) (let ((_let_403 (= tptp.identity (tptp.double_divide _let_402 _let_31)))) (let ((_let_404 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_255 _let_296) _let_355)))) (let ((_let_405 (= _let_255 (tptp.double_divide _let_404 _let_31)))) (let ((_let_406 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_128 _let_348) _let_348)))) (let ((_let_407 (tptp.double_divide _let_406 _let_31))) (let ((_let_408 (= _let_128 _let_407))) (let ((_let_409 (tptp.double_divide _let_257 (tptp.double_divide _let_259 _let_245)))) (let ((_let_410 (= _let_104 (tptp.double_divide _let_409 _let_31)))) (let ((_let_411 (= _let_259 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_259 _let_296) _let_355)) _let_31)))) (let ((_let_412 (tptp.double_divide _let_133 _let_100))) (let ((_let_413 (tptp.double_divide _let_412 _let_100))) (let ((_let_414 (tptp.double_divide tptp.identity _let_413))) (let ((_let_415 (= _let_133 (tptp.double_divide _let_414 _let_31)))) (let ((_let_416 (tptp.double_divide _let_197 (tptp.double_divide (tptp.double_divide tptp.b _let_353) _let_198)))) (let ((_let_417 (= tptp.b (tptp.double_divide _let_416 _let_31)))) (let ((_let_418 (tptp.double_divide _let_283 (tptp.double_divide _let_286 (tptp.double_divide _let_284 tptp.identity))))) (let ((_let_419 (= tptp.b (tptp.double_divide _let_418 _let_31)))) (let ((_let_420 (= _let_286 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_286 _let_296) _let_355)) _let_31)))) (let ((_let_421 (= _let_307 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_307 _let_296) _let_355)) _let_31)))) (let ((_let_422 (tptp.double_divide _let_197 (tptp.double_divide (tptp.double_divide _let_80 _let_353) _let_198)))) (let ((_let_423 (= _let_80 (tptp.double_divide _let_422 _let_31)))) (let ((_let_424 (tptp.double_divide _let_185 _let_353))) (let ((_let_425 (tptp.double_divide _let_197 (tptp.double_divide _let_424 _let_198)))) (let ((_let_426 (tptp.double_divide _let_425 _let_31))) (let ((_let_427 (= _let_185 _let_426))) (let ((_let_428 (tptp.double_divide _let_127 _let_353))) (let ((_let_429 (tptp.double_divide _let_197 (tptp.double_divide _let_428 _let_198)))) (let ((_let_430 (= _let_127 (tptp.double_divide _let_429 _let_31)))) (let ((_let_431 (tptp.double_divide _let_114 tptp.identity))) (let ((_let_432 (tptp.double_divide _let_115 _let_431))) (let ((_let_433 (tptp.double_divide _let_432 tptp.identity))) (let ((_let_434 (= (tptp.multiply _let_431 _let_115) _let_433))) (let ((_let_435 (= (tptp.multiply _let_100 _let_133) (tptp.double_divide _let_412 tptp.identity)))) (let ((_let_436 (tptp.double_divide _let_348 tptp.identity))) (let ((_let_437 (= (tptp.multiply tptp.identity _let_348) (tptp.double_divide _let_436 tptp.identity)))) (let ((_let_438 (= (tptp.multiply tptp.identity _let_80) (tptp.double_divide _let_328 tptp.identity)))) (let ((_let_439 (tptp.inverse _let_348))) (let ((_let_440 (= _let_436 _let_439))) (let ((_let_441 (tptp.inverse _let_80))) (let ((_let_442 (= _let_328 _let_441))) (let ((_let_443 (tptp.double_divide _let_42 _let_347))) (let ((_let_444 (= tptp.identity _let_443))) (let ((_let_445 (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_9 _let_443) _let_348)))) (let ((_let_446 (= _let_9 (tptp.double_divide _let_445 _let_31)))) (let ((_let_447 (tptp.double_divide _let_12 _let_443))) (let ((_let_448 (tptp.double_divide _let_347 (tptp.double_divide _let_447 _let_348)))) (let ((_let_449 (= _let_12 (tptp.double_divide _let_448 _let_31)))) (let ((_let_450 (= _let_10 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_10 _let_443) _let_348)) _let_31)))) (let ((_let_451 (= _let_13 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_13 _let_443) _let_348)) _let_31)))) (let ((_let_452 (tptp.double_divide _let_25 tptp.identity))) (let ((_let_453 (= _let_9 (tptp.double_divide (tptp.double_divide _let_80 (tptp.double_divide (tptp.double_divide _let_9 _let_81) _let_452)) _let_31)))) (let ((_let_454 (= tptp.identity (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide tptp.identity _let_443) _let_348)) _let_31)))) (let ((_let_455 (tptp.double_divide _let_80 (tptp.double_divide (tptp.double_divide _let_59 _let_81) _let_452)))) (let ((_let_456 (= _let_59 (tptp.double_divide _let_455 _let_31)))) (let ((_let_457 (tptp.double_divide _let_19 tptp.identity))) (let ((_let_458 (= _let_10 (tptp.double_divide (tptp.double_divide _let_42 (tptp.double_divide (tptp.double_divide _let_10 _let_43) _let_457)) _let_31)))) (let ((_let_459 (= _let_255 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_255 _let_443) _let_348)) _let_31)))) (let ((_let_460 (tptp.double_divide _let_133 _let_81))) (let ((_let_461 (tptp.double_divide _let_80 (tptp.double_divide _let_460 _let_452)))) (let ((_let_462 (= _let_133 (tptp.double_divide _let_461 _let_31)))) (let ((_let_463 (tptp.double_divide _let_74 (tptp.double_divide _let_307 (tptp.double_divide _let_306 tptp.identity))))) (let ((_let_464 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_302 (tptp.double_divide _let_463 _let_31)) (tptp.double_divide _let_463 tptp.identity))))) (let ((_let_465 (= _let_302 (tptp.double_divide _let_464 _let_31)))) (let ((_let_466 (= _let_363 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_363 _let_443) _let_348)) _let_31)))) (let ((_let_467 (tptp.double_divide _let_425 tptp.identity))) (let ((_let_468 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_106 _let_426) _let_467)))) (let ((_let_469 (= _let_106 (tptp.double_divide _let_468 _let_31)))) (let ((_let_470 (tptp.double_divide _let_9 _let_201))) (let ((_let_471 (tptp.double_divide _let_106 (tptp.double_divide (tptp.double_divide _let_470 _let_107) _let_365)))) (let ((_let_472 (= _let_471 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_471 _let_443) _let_348)) _let_31)))) (let ((_let_473 (tptp.double_divide _let_373 _let_324))) (let ((_let_474 (tptp.double_divide tptp.identity (tptp.double_divide _let_473 _let_324)))) (let ((_let_475 (= _let_474 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_474 _let_443) _let_348)) _let_31)))) (let ((_let_476 (= _let_380 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_380 _let_443) _let_348)) _let_31)))) (let ((_let_477 (tptp.double_divide _let_396 _let_426))) (let ((_let_478 (tptp.double_divide _let_477 _let_467))) (let ((_let_479 (tptp.double_divide _let_31 _let_478))) (let ((_let_480 (tptp.double_divide _let_479 _let_31))) (let ((_let_481 (= _let_396 _let_480))) (let ((_let_482 (tptp.double_divide _let_396 tptp.identity))) (let ((_let_483 (tptp.double_divide _let_185 (tptp.double_divide _let_398 _let_482)))) (let ((_let_484 (= tptp.identity (tptp.double_divide _let_483 _let_31)))) (let ((_let_485 (= _let_398 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_398 _let_443) _let_348)) _let_31)))) (let ((_let_486 (tptp.double_divide _let_42 (tptp.double_divide (tptp.double_divide _let_431 _let_43) _let_457)))) (let ((_let_487 (= _let_431 (tptp.double_divide _let_486 _let_31)))) (let ((_let_488 (tptp.double_divide _let_401 (tptp.double_divide _let_402 (tptp.double_divide _let_255 tptp.identity))))) (let ((_let_489 (= _let_104 (tptp.double_divide _let_488 _let_31)))) (let ((_let_490 (= _let_402 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_402 _let_443) _let_348)) _let_31)))) (let ((_let_491 (= _let_404 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_404 _let_443) _let_348)) _let_31)))) (let ((_let_492 (= _let_257 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_257 _let_407) (tptp.double_divide _let_406 tptp.identity))) _let_31)))) (let ((_let_493 (= _let_409 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_409 _let_443) _let_348)) _let_31)))) (let ((_let_494 (= _let_414 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_414 _let_443) _let_348)) _let_31)))) (let ((_let_495 (= _let_422 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_422 _let_443) _let_348)) _let_31)))) (let ((_let_496 (tptp.double_divide _let_285 (tptp.double_divide (tptp.double_divide _let_424 _let_286) _let_280)))) (let ((_let_497 (= _let_424 (tptp.double_divide _let_496 _let_31)))) (let ((_let_498 (tptp.double_divide _let_348 _let_353))) (let ((_let_499 (= _let_498 (tptp.double_divide (tptp.double_divide _let_285 (tptp.double_divide (tptp.double_divide _let_498 _let_286) _let_280)) _let_31)))) (let ((_let_500 (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_432 _let_443) _let_348)))) (let ((_let_501 (= _let_432 (tptp.double_divide _let_500 _let_31)))) (let ((_let_502 (tptp.double_divide _let_258 _let_443))) (let ((_let_503 (tptp.double_divide _let_347 (tptp.double_divide _let_502 _let_348)))) (let ((_let_504 (tptp.double_divide _let_503 _let_31))) (let ((_let_505 (= _let_258 _let_504))) (let ((_let_506 (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_338 _let_443) _let_348)))) (let ((_let_507 (= _let_338 (tptp.double_divide _let_506 _let_31)))) (let ((_let_508 (= _let_436 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_436 _let_443) _let_348)) _let_31)))) (let ((_let_509 (= _let_374 (tptp.double_divide (tptp.double_divide _let_347 (tptp.double_divide (tptp.double_divide _let_374 _let_443) _let_348)) _let_31)))) (let ((_let_510 (= (tptp.double_divide _let_363 tptp.identity) (tptp.multiply _let_362 _let_197)))) (let ((_let_511 (tptp.inverse _let_416))) (let ((_let_512 (tptp.double_divide _let_416 tptp.identity))) (let ((_let_513 (= _let_512 _let_511))) (let ((_let_514 (= tptp.identity (tptp.double_divide _let_348 _let_439)))) (let ((_let_515 (tptp.double_divide _let_80 _let_441))) (let ((_let_516 (= tptp.identity _let_515))) (let ((_let_517 (= _let_10 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_10 _let_515) _let_328)) _let_31)))) (let ((_let_518 (= _let_13 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_13 _let_515) _let_328)) _let_31)))) (let ((_let_519 (= tptp.identity (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide tptp.identity _let_515) _let_328)) _let_31)))) (let ((_let_520 (tptp.double_divide _let_397 (tptp.double_divide (tptp.double_divide _let_59 _let_398) _let_31)))) (let ((_let_521 (= _let_59 (tptp.double_divide _let_520 _let_31)))) (let ((_let_522 (tptp.double_divide (tptp.double_divide _let_37 _let_201) _let_74))) (let ((_let_523 (tptp.double_divide _let_522 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_73 _let_522)) (tptp.double_divide _let_73 tptp.identity))))) (let ((_let_524 (= _let_25 (tptp.double_divide _let_523 _let_31)))) (let ((_let_525 (= _let_33 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_33 _let_515) _let_328)) _let_31)))) (let ((_let_526 (= _let_185 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_185 _let_515) _let_328)) _let_31)))) (let ((_let_527 (tptp.double_divide _let_198 (tptp.double_divide (tptp.double_divide _let_197 (tptp.double_divide _let_498 _let_198)) (tptp.double_divide _let_498 tptp.identity))))) (let ((_let_528 (tptp.double_divide tptp.a _let_353))) (let ((_let_529 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_528 (tptp.double_divide _let_527 _let_31)) (tptp.double_divide _let_527 tptp.identity))))) (let ((_let_530 (= _let_528 (tptp.double_divide _let_529 _let_31)))) (let ((_let_531 (tptp.double_divide _let_413 (tptp.double_divide (tptp.double_divide _let_283 _let_414) _let_31)))) (let ((_let_532 (= _let_283 (tptp.double_divide _let_531 _let_31)))) (let ((_let_533 (= _let_347 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_347 _let_504) (tptp.double_divide _let_503 tptp.identity))) _let_31)))) (let ((_let_534 (= _let_445 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_445 _let_515) _let_328)) _let_31)))) (let ((_let_535 (= _let_347 (tptp.double_divide (tptp.double_divide _let_348 (tptp.double_divide _let_448 (tptp.double_divide _let_447 tptp.identity))) _let_31)))) (let ((_let_536 (= _let_448 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_448 _let_515) _let_328)) _let_31)))) (let ((_let_537 (= _let_80 (tptp.double_divide (tptp.double_divide _let_452 (tptp.double_divide _let_461 (tptp.double_divide _let_460 tptp.identity))) _let_31)))) (let ((_let_538 (= _let_461 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_461 _let_515) _let_328)) _let_31)))) (let ((_let_539 (= _let_468 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_468 _let_515) _let_328)) _let_31)))) (let ((_let_540 (= _let_479 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_479 _let_515) _let_328)) _let_31)))) (let ((_let_541 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_398 _let_433) _let_433)))) (let ((_let_542 (tptp.double_divide _let_541 _let_31))) (let ((_let_543 (= _let_398 _let_542))) (let ((_let_544 (tptp.double_divide _let_482 (tptp.double_divide _let_483 (tptp.double_divide _let_398 tptp.identity))))) (let ((_let_545 (= _let_185 (tptp.double_divide _let_544 _let_31)))) (let ((_let_546 (= _let_483 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_483 _let_515) _let_328)) _let_31)))) (let ((_let_547 (= _let_500 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_500 _let_515) _let_328)) _let_31)))) (let ((_let_548 (= _let_506 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_506 _let_515) _let_328)) _let_31)))) (let ((_let_549 (tptp.double_divide _let_379 _let_515))) (let ((_let_550 (tptp.double_divide _let_441 (tptp.double_divide _let_549 _let_328)))) (let ((_let_551 (= _let_379 (tptp.double_divide _let_550 _let_31)))) (let ((_let_552 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide _let_34 (tptp.double_divide _let_32 tptp.identity))) (tptp.double_divide _let_34 tptp.identity)))) (let ((_let_553 (= _let_552 (tptp.double_divide (tptp.double_divide _let_441 (tptp.double_divide (tptp.double_divide _let_552 _let_515) _let_328)) _let_31)))) (let ((_let_554 (= (tptp.multiply _let_467 _let_477) (tptp.double_divide _let_478 tptp.identity)))) (let ((_let_555 (= (tptp.multiply _let_31 _let_479) (tptp.double_divide _let_480 tptp.identity)))) (let ((_let_556 (tptp.double_divide (tptp.double_divide _let_19 _let_304) (tptp.double_divide _let_303 tptp.identity)))) (let ((_let_557 (= (tptp.double_divide _let_556 tptp.identity) (tptp.inverse _let_556)))) (let ((_let_558 (tptp.double_divide _let_416 _let_511))) (let ((_let_559 (= tptp.identity _let_558))) (let ((_let_560 (= _let_13 (tptp.double_divide (tptp.double_divide _let_511 (tptp.double_divide (tptp.double_divide _let_13 _let_558) _let_512)) _let_31)))) (let ((_let_561 (= tptp.identity (tptp.double_divide (tptp.double_divide _let_511 (tptp.double_divide (tptp.double_divide tptp.identity _let_558) _let_512)) _let_31)))) (let ((_let_562 (= tptp.a (tptp.double_divide (tptp.double_divide _let_511 (tptp.double_divide (tptp.double_divide tptp.a _let_558) _let_512)) _let_31)))) (let ((_let_563 (= _let_397 (tptp.double_divide (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_397 _let_542) (tptp.double_divide _let_541 tptp.identity))) _let_31)))) (let ((_let_564 (= _let_520 (tptp.double_divide (tptp.double_divide _let_511 (tptp.double_divide (tptp.double_divide _let_520 _let_558) _let_512)) _let_31)))) (let ((_let_565 (= _let_531 (tptp.double_divide (tptp.double_divide _let_511 (tptp.double_divide (tptp.double_divide _let_531 _let_558) _let_512)) _let_31)))) (let ((_let_566 (_let_7))) (let ((_let_567 (ASSUME :args _let_566))) (let ((_let_568 ((tptp.multiply A B)))) (let ((_let_569 ((tptp.double_divide B A)))) (let ((_let_570 (_let_6))) (let ((_let_571 (ASSUME :args _let_570))) (let ((_let_572 ((tptp.double_divide A tptp.identity)))) (let ((_let_573 (_let_5))) (let ((_let_574 (ASSUME :args _let_573))) (let ((_let_575 ((tptp.inverse A)))) (let ((_let_576 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide B (tptp.double_divide C A)) (tptp.double_divide C tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))) (let ((_let_577 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_578 (_let_576))) (let ((_let_579 ((tptp.double_divide B (tptp.double_divide C A))))) (let ((_let_580 (and _let_11 _let_14 _let_16 _let_18 _let_20 _let_22 _let_24 _let_27 _let_28 _let_30 _let_36 _let_40 _let_45 _let_49 _let_54 _let_58 _let_63 _let_68 _let_70 _let_72 _let_75 _let_76 _let_78 _let_83 _let_86 _let_90 _let_92 _let_97 _let_99 _let_103 _let_109 _let_113 _let_117 _let_121 _let_125 _let_130 _let_135 _let_139 _let_142 _let_146 _let_149 _let_153 _let_154 _let_157 _let_160 _let_164 _let_165 _let_168 _let_169 _let_172 _let_175 _let_181 _let_183 _let_184 _let_186 _let_187 _let_189 _let_190 _let_191 _let_192 _let_194 _let_196 _let_199 _let_200 _let_202 _let_204 _let_206 _let_209 _let_211 _let_213 _let_215 _let_217 _let_218 _let_219 _let_221 _let_222 _let_225 _let_228 _let_230 _let_231 _let_232 _let_234 _let_236 _let_238 _let_239 _let_241 _let_243 _let_244 _let_247 _let_249 _let_251 _let_253 _let_254 _let_256 _let_260 _let_261 _let_263 _let_264 _let_266 _let_268 _let_269 _let_270 _let_271 _let_274 _let_276 _let_277 _let_278 _let_279 _let_281 _let_282 _let_287 _let_288 _let_289 _let_290 _let_292 _let_293 _let_294 _let_297 _let_298 _let_299 _let_301 _let_305 _let_308 _let_310 _let_313 _let_315 _let_317 _let_318 _let_319 _let_320 _let_321 _let_322 _let_323 _let_326 _let_327 _let_329 _let_330 _let_331 _let_332 _let_333 _let_334 _let_337 _let_339 _let_340 _let_341 _let_342 _let_343 _let_344 _let_345 _let_346 _let_349 _let_350 _let_351 _let_352 _let_354 _let_356 _let_357 _let_358 _let_359 _let_360 _let_361 _let_364 _let_367 _let_368 _let_369 _let_370 _let_371 _let_372 _let_376 _let_377 _let_381 _let_382 _let_383 _let_384 _let_385 _let_386 _let_387 _let_389 _let_390 _let_391 _let_392 _let_393 _let_394 _let_395 _let_399 _let_400 _let_403 _let_405 _let_408 _let_410 _let_411 _let_415 _let_417 _let_419 _let_420 _let_421 _let_423 _let_427 _let_430 _let_434 _let_435 _let_437 _let_438 _let_440 _let_442 _let_444 _let_446 _let_449 _let_450 _let_451 _let_453 _let_454 _let_456 _let_458 _let_459 _let_462 _let_465 _let_466 _let_469 _let_472 _let_475 _let_476 _let_481 _let_484 _let_485 _let_487 _let_489 _let_490 _let_491 _let_492 _let_493 _let_494 _let_495 _let_497 _let_499 _let_501 _let_505 _let_507 _let_508 _let_509 _let_510 _let_513 _let_514 _let_516 _let_517 _let_518 _let_519 _let_521 _let_524 _let_525 _let_526 _let_530 _let_532 _let_533 _let_534 _let_535 _let_536 _let_537 _let_538 _let_539 _let_540 _let_543 _let_545 _let_546 _let_547 _let_548 _let_551 _let_553 _let_554 _let_555 _let_557 _let_559 _let_560 _let_561 _let_562 _let_563 _let_564 _let_565))) (let ((_let_581 (ASSUME :args (_let_14)))) (let ((_let_582 (ASSUME :args (_let_560)))) (let ((_let_583 (APPLY_UF tptp.double_divide))) (let ((_let_584 (REFL :args (_let_31)))) (let ((_let_585 (ASSUME :args (_let_113)))) (let ((_let_586 (SYMM _let_585))) (let ((_let_587 (ASSUME :args (_let_394)))) (let ((_let_588 (SYMM _let_587))) (let ((_let_589 (REFL :args (_let_355)))) (let ((_let_590 (ASSUME :args (_let_297)))) (let ((_let_591 (SYMM _let_590))) (let ((_let_592 (SYMM _let_591))) (let ((_let_593 (ASSUME :args (_let_194)))) (let ((_let_594 (CONG _let_585 (SYMM _let_593) :args _let_583))) (let ((_let_595 (ASSUME :args (_let_351)))) (let ((_let_596 (SYMM _let_595))) (let ((_let_597 (SYMM _let_596))) (let ((_let_598 (ASSUME :args (_let_28)))) (let ((_let_599 (SYMM _let_598))) (let ((_let_600 (ASSUME :args (_let_18)))) (let ((_let_601 (SYMM _let_600))) (let ((_let_602 (SYMM _let_601))) (let ((_let_603 (REFL :args (_let_9)))) (let ((_let_604 (CONG _let_603 _let_602 :args _let_583))) (let ((_let_605 (ASSUME :args (_let_160)))) (let 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(REFL :args (_let_12)))) (let ((_let_676 (CONG _let_670 (TRANS _let_674 (CONG (CONG _let_675 _let_674 :args _let_583) _let_671 :args _let_583)) :args _let_583))) (let ((_let_677 (ASSUME :args (_let_318)))) (let ((_let_678 (SYMM _let_677))) (let ((_let_679 (CONG _let_678 _let_608 :args _let_583))) (let ((_let_680 (ASSUME :args (_let_58)))) (let ((_let_681 (SYMM _let_680))) (let ((_let_682 (CONG (TRANS _let_681 _let_677) _let_633 :args _let_583))) (let ((_let_683 (SYMM _let_632))) (let ((_let_684 (SYMM _let_627))) (let ((_let_685 (SYMM _let_619))) (let ((_let_686 (CONG (TRANS _let_591 _let_632) _let_639 :args _let_583))) (let ((_let_687 (CONG _let_592 _let_608 :args _let_583))) (let ((_let_688 (ASSUME :args (_let_202)))) (let ((_let_689 (SYMM _let_688))) (let ((_let_690 (CONG _let_608 _let_689 :args _let_583))) (let ((_let_691 (CONG _let_690 _let_608 :args _let_583))) (let ((_let_692 (SYMM _let_621))) (let ((_let_693 (ASSUME :args (_let_371)))) (let ((_let_694 (TRANS (SYMM (SYMM 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(TRANS _let_1239 _let_1238) :args _let_651))) (let ((_let_1319 (ASSUME :args (_let_187)))) (let ((_let_1320 (SYMM _let_1319))) (let ((_let_1321 (CONG (CONG _let_1257 _let_689 :args _let_583) _let_608 :args _let_583))) (let ((_let_1322 (ASSUME :args (_let_276)))) (let ((_let_1323 (TRANS _let_945 (CONG (CONG _let_608 (TRANS _let_1275 _let_1269 _let_1268 _let_1157 _let_1155 _let_1153 _let_1149 _let_1152) :args _let_583) _let_633 :args _let_583) (CONG (REFL :args (_let_275)) _let_639 :args _let_583) (SYMM _let_1322) _let_785))) (let ((_let_1324 (ASSUME :args (_let_372)))) (let ((_let_1325 (TRANS (SYMM (SYMM _let_1324)) _let_957 _let_951))) (let ((_let_1326 (CONG _let_1258 _let_608 :args _let_583))) (let ((_let_1327 (CONG (REFL :args (_let_314)) _let_591 :args _let_583))) (let ((_let_1328 (TRANS _let_1327 _let_909 _let_907))) (let ((_let_1329 (TRANS _let_821 _let_818 _let_811 _let_809 _let_908 (SYMM _let_1327)))) (let ((_let_1330 (SYMM _let_818))) (let ((_let_1331 (TRANS _let_680 _let_740 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(_let_442)))) (let ((_let_1347 (SYMM _let_1346))) (let ((_let_1348 (ASSUME :args (_let_423)))) (let ((_let_1349 (REFL :args (_let_198)))) (let ((_let_1350 (ASSUME :args (_let_329)))) (let ((_let_1351 (SYMM (SYMM _let_1350)))) (let ((_let_1352 (CONG _let_718 (TRANS _let_958 _let_1239 _let_1238 _let_1230 _let_1163 _let_1100 _let_983 _let_1098 _let_1097 _let_1085 _let_1084 _let_1000 _let_1248) :args _let_651))) (let ((_let_1353 (ASSUME :args (_let_333)))) (let ((_let_1354 (SYMM _let_1353))) (let ((_let_1355 (REFL :args (_let_197)))) (let ((_let_1356 (CONG _let_1355 (CONG (TRANS (CONG (REFL :args (_let_94)) _let_1026 :args _let_583) _let_1354 _let_1352 _let_1351 (CONG (REFL :args (_let_80)) _let_1025 :args _let_583)) _let_1349 :args _let_583) :args _let_583))) (let ((_let_1357 (CONG _let_1356 _let_584 :args _let_583))) (let ((_let_1358 (ASSUME :args (_let_495)))) (let ((_let_1359 (REFL :args (_let_348)))) (let ((_let_1360 (SYMM _let_1357))) (let ((_let_1361 (TRANS _let_730 _let_743 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(ASSUME :args (_let_446)))) (let ((_let_1557 (CONG (TRANS _let_1135 _let_1113 (TRANS _let_999 _let_1083 _let_1303 _let_1302 _let_1128 _let_982 _let_1099 _let_1301 _let_1300 (CONG (TRANS _let_785 _let_1229 _let_1284 _let_1282 _let_1281 (SYMM _let_1407)) _let_804 :args _let_583))) _let_1359 :args _let_583))) (let ((_let_1558 (CONG (REFL :args (_let_43)) _let_689 :args _let_583))) (let ((_let_1559 (ASSUME :args (_let_389)))) (let ((_let_1560 (CONG (REFL :args (_let_388)) _let_795 :args _let_583))) (let ((_let_1561 (CONG _let_1560 _let_1414 :args _let_583))) (let ((_let_1562 (CONG (TRANS _let_1447 _let_1221 (SYMM _let_1558)) _let_795 :args _let_583))) (let ((_let_1563 (CONG (REFL :args (_let_470)) _let_782 :args _let_583))) (let ((_let_1564 (TRANS _let_1563 _let_1562))) (let ((_let_1565 (SYMM _let_1563))) (let ((_let_1566 (CONG (TRANS _let_1565 _let_1564 (SYMM _let_1560)) _let_608 :args _let_583))) (let ((_let_1567 (CONG _let_1415 (TRANS (CONG _let_1563 _let_798 :args _let_583) _let_1566 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_let_1652) :args _let_583))) (let ((_let_1698 (CONG (REFL :args (_let_147)) _let_1665 :args _let_583))) (let ((_let_1699 (TRANS _let_1698 _let_1697))) (let ((_let_1700 (SYMM _let_1699))) (let ((_let_1701 (TRANS (TRANS (CONG _let_1700 (TRANS _let_1648 _let_1651 _let_1668 _let_1667 _let_1666 _let_1657) :args _let_583) (CONG _let_1699 (TRANS _let_1658 _let_1656 _let_1655 _let_1654 _let_1652) :args _let_583)) (TRANS (SYMM (SYMM _let_1695)) (CONG (TRANS (TRANS (CONG _let_584 (TRANS (CONG (TRANS (TRANS (CONG (REFL :args (_let_397)) (TRANS _let_1633 _let_1631 _let_1628 _let_1619 _let_1422 _let_999 _let_1083 _let_1303 _let_1302 _let_1128 _let_982 _let_1099 _let_1301 _let_1300 (CONG (TRANS _let_785 _let_1229 _let_1284 _let_1282 _let_1281 (TRANS _let_1017 _let_1225 _let_1011 _let_1007 _let_1004 _let_1002 _let_995 _let_992 _let_980 _let_978 _let_977 _let_1240 _let_1237 (CONG _let_1020 (TRANS _let_1423 _let_1420 _let_1694 _let_1630) :args _let_583))) _let_584 :args _let_583)) :args _let_583) (SYMM 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(CONG (TRANS (SYMM _let_1749) (TRANS _let_1749 (CONG _let_1748 (TRANS _let_1183 _let_1182 _let_1000 _let_1423 _let_1420 _let_1418 _let_1398) :args _let_583) (CONG (TRANS _let_1596 (TRANS (SYMM _let_1596) (CONG (SYMM _let_1603) (SYMM _let_1604) :args _let_583) _let_1591 _let_1589 _let_1584 _let_1547 _let_1512 _let_1520) (TRANS _let_1518 (SYMM _let_1469))) (TRANS _let_1397 _let_1724 _let_1619 _let_1422 _let_999 _let_1226 _let_1213 _let_1077 _let_1068 (CONG (TRANS _let_632 _let_631 _let_630 _let_627 _let_692 _let_623 _let_613 _let_610 _let_1210 _let_1208 _let_1206 _let_1205 _let_1203 _let_1199 (CONG (TRANS _let_1196 (CONG _let_584 (CONG (TRANS (SYMM _let_1194) (TRANS (SYMM (SYMM _let_1747)) (CONG (REFL :args (_let_259)) _let_592 :args _let_583))) _let_589 :args _let_583) :args _let_583)) _let_584 :args _let_583) (SYMM _let_1746)) (TRANS _let_1013 _let_1011 _let_1007 _let_1004 _let_1002 _let_995 _let_992 _let_980 _let_978 _let_977 _let_1240 _let_1237 _let_1082 _let_1054 _let_1081 _let_1078 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_let_1288) _let_584 :args _let_583) _let_1287 _let_762 _let_771 (CONG _let_1388 (TRANS (SYMM _let_1104) (SYMM _let_1106) (CONG (TRANS _let_1105 (TRANS _let_613 _let_610 _let_1210 _let_1208 _let_1206)) _let_608 :args _let_583)) :args _let_583)) :args _let_583) _let_633 :args _let_583) :args _let_583))) (let ((_let_1751 (ASSUME :args (_let_565)))) (let ((_let_1752 (ASSUME :args (_let_532)))) (let ((_let_1753 (CONG _let_746 _let_1026 :args _let_583))) (let ((_let_1754 (TRANS (CONG _let_746 _let_642 :args _let_583) (SYMM _let_1753)))) (let ((_let_1755 (ASSUME :args (_let_530)))) (let ((_let_1756 (CONG _let_753 (CONG (TRANS (TRANS (CONG (REFL :args (_let_529)) _let_752 :args _let_583) (SYMM _let_1755)) (SYMM _let_1754)) _let_1690 :args _let_583) :args _let_583))) (let ((_let_1757 (ASSUME :args (_let_562)))) (let ((_let_1758 (ASSUME :args (_let_513)))) (let ((_let_1759 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_580)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1759 _let_1752 _let_1745 _let_1739 _let_1732 _let_1731 _let_1715 _let_1703 _let_1684 _let_1650 _let_1647 _let_1692 _let_1607 _let_1622 _let_1744 _let_912 _let_1509 _let_1212 _let_1664 _let_1243 _let_929 _let_1758 _let_1178 _let_1310 _let_1022 _let_1546 _let_915 _let_1003 _let_1390 _let_1319 _let_637 _let_908 _let_1482 _let_1164 _let_1642 _let_936 _let_1207 _let_1350 _let_598 _let_771 _let_997 _let_1031 _let_1504 _let_1707 _let_1634 _let_1295 _let_1025 _let_1322 _let_1008 _let_979 _let_841 _let_822 _let_587 _let_1632 _let_1536 _let_1061 _let_801 _let_735 _let_1181 _let_1526 _let_763 _let_1037 _let_1308 _let_1195 _let_1370 _let_867 _let_961 _let_1353 _let_1049 _let_824 _let_964 _let_1413 _let_1678 _let_975 _let_1625 _let_1746 _let_1073 _let_1156 _let_1377 _let_1149 _let_658 _let_600 _let_1681 _let_581 _let_693 _let_645 _let_1130 _let_1092 _let_810 _let_1223 _let_611 _let_716 _let_1597 _let_653 _let_786 _let_593 _let_1574 _let_1247 _let_1397 _let_670 _let_955 _let_1079 _let_1421 _let_677 _let_663 _let_819 _let_854 _let_1374 _let_950 _let_635 _let_1635 _let_858 _let_606 _let_1488 _let_876 _let_1620 _let_1474 _let_1598 _let_652 _let_605 _let_672 _let_585 _let_1454 _let_1187 _let_1542 _let_1289 _let_1507 _let_1293 _let_843 _let_1637 _let_1556 _let_1730 _let_985 _let_780 _let_1099 _let_942 _let_1424 _let_1177 _let_865 _let_1581 _let_1590 _let_946 _let_1107 _let_1733 _let_1122 _let_1511 _let_1232 _let_1056 _let_1083 _let_1585 _let_1743 _let_1657 _let_1345 _let_1159 _let_1712 _let_1191 _let_1485 _let_1467 _let_726 _let_766 _let_708 _let_1278 _let_730 _let_849 _let_713 _let_959 _let_1747 _let_1559 _let_1552 _let_1088 _let_688 _let_1294 _let_1616 _let_1348 _let_993 _let_617 _let_1600 _let_1251 _let_1495 _let_1005 _let_703 _let_1101 _let_937 _let_1742 _let_1246 _let_1586 _let_1693 _let_1346 _let_1432 _let_761 _let_805 _let_1728 _let_933 _let_1253 _let_981 _let_1737 _let_781 _let_1472 _let_1496 _let_1470 _let_1695 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_let_1119 _let_1118 _let_1049 _let_1117 _let_1115 _let_1114 _let_1069 _let_1042 (CONG (TRANS _let_636 _let_634 (SYMM (SYMM _let_1758))) (TRANS (SYMM (SYMM _let_1757)) (CONG (SYMM _let_1756) _let_584 :args _let_583) (CONG (TRANS _let_1756 (CONG _let_753 (CONG (TRANS _let_1754 (TRANS _let_1753 (SYMM (SYMM _let_1752)) (CONG _let_1750 _let_633 :args _let_583) (CONG (SYMM _let_1750) _let_643 :args _let_583))) _let_1690 :args _let_583) :args _let_583)) _let_584 :args _let_583) (SYMM _let_1751) _let_1750 (SYMM _let_1741)) :args _let_583) (CONG _let_753 (TRANS _let_1741 _let_748) :args _let_583) (SYMM _let_754))) _let_584 :args _let_583) (CONG _let_754 _let_584 :args _let_583) (SYMM _let_582) (SYMM _let_581)) :args (_let_11 _let_532 _let_493 _let_525 _let_545 _let_546 _let_434 _let_481 _let_548 _let_186 _let_427 _let_521 _let_462 _let_244 _let_410 _let_346 _let_459 _let_400 _let_472 _let_387 _let_386 _let_513 _let_369 _let_350 _let_298 _let_535 _let_344 _let_319 _let_420 _let_187 _let_419 _let_315 _let_458 _let_310 _let_341 _let_289 _let_288 _let_329 _let_28 _let_287 _let_281 _let_342 _let_376 _let_501 _let_469 _let_221 _let_354 _let_276 _let_90 _let_277 _let_326 _let_146 _let_394 _let_543 _let_491 _let_301 _let_444 _let_345 _let_263 _let_364 _let_308 _let_249 _let_340 _let_238 _let_334 _let_175 _let_385 _let_333 _let_343 _let_92 _let_72 _let_367 _let_497 _let_97 _let_399 _let_411 _let_247 _let_70 _let_384 _let_332 _let_169 _let_18 _let_507 _let_14 _let_371 _let_40 _let_130 _let_22 _let_368 _let_183 _let_243 _let_30 _let_435 _let_68 _let_292 _let_194 _let_505 _let_377 _let_509 _let_27 _let_215 _let_251 _let_450 _let_318 _let_86 _let_356 _let_254 _let_142 _let_361 _let_417 _let_539 _let_20 _let_279 _let_322 _let_253 _let_117 _let_256 _let_264 _let_125 _let_160 _let_78 _let_113 _let_305 _let_103 _let_370 _let_381 _let_405 _let_222 _let_157 _let_339 _let_446 _let_484 _let_76 _let_109 _let_274 _let_149 _let_518 _let_209 _let_154 _let_440 _let_466 _let_271 _let_164 _let_487 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_let_438 _let_440 _let_442 _let_444 _let_446 _let_449 _let_450 _let_451 _let_453 _let_454 _let_456 _let_458 _let_459 _let_462 _let_465 _let_466 _let_469 _let_472 _let_475 _let_476 _let_481 _let_484 _let_485 _let_487 _let_489 _let_490 _let_491 _let_492 _let_493 _let_494 _let_495 _let_497 _let_499 _let_501 _let_505 _let_507 _let_508 _let_509 _let_510 _let_513 _let_514 _let_516 _let_517 _let_518 _let_519 _let_521 _let_524 _let_525 _let_526 _let_530 _let_532 _let_533 _let_534 _let_535 _let_536 _let_537 _let_538 _let_539 _let_540 _let_543 _let_545 _let_546 _let_547 _let_548 _let_551 _let_553 _let_554 _let_555 _let_557 _let_559 _let_560 _let_561 _let_562 _let_563 _let_564 _let_565))) :args (true _let_580)) :args ((or _let_3 (not _let_11) (not _let_14) (not _let_16) (not _let_18) (not _let_20) (not _let_22) (not _let_24) (not _let_27) (not _let_28) (not _let_30) (not _let_36) (not _let_40) (not _let_45) (not _let_49) (not _let_54) (not _let_58) (not _let_63) (not _let_68) (not _let_70) (not 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(not _let_352) (not _let_354) (not _let_356) (not _let_357) (not _let_358) (not _let_359) (not _let_360) (not _let_361) (not _let_364) (not _let_367) (not _let_368) (not _let_369) (not _let_370) (not _let_371) (not _let_372) (not _let_376) (not _let_377) (not _let_381) (not _let_382) (not _let_383) (not _let_384) (not _let_385) (not _let_386) (not _let_387) (not _let_389) (not _let_390) (not _let_391) (not _let_392) (not _let_393) (not _let_394) (not _let_395) (not _let_399) (not _let_400) (not _let_403) (not _let_405) (not _let_408) (not _let_410) (not _let_411) (not _let_415) (not _let_417) (not _let_419) (not _let_420) (not _let_421) (not _let_423) (not _let_427) (not _let_430) (not _let_434) (not _let_435) (not _let_437) (not _let_438) (not _let_440) (not _let_442) (not _let_444) (not _let_446) (not _let_449) (not _let_450) (not _let_451) (not _let_453) (not _let_454) (not _let_456) (not _let_458) (not _let_459) (not _let_462) (not _let_465) (not _let_466) (not _let_469) (not 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QUANTIFIERS_INST_E_MATCHING _let_579)) :args _let_578)) _let_577 :args (_let_565 false _let_576)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_577 :args (_let_511 _let_520 _let_416 QUANTIFIERS_INST_E_MATCHING _let_579)) :args _let_578)) _let_577 :args (_let_564 false _let_576)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_577 :args (_let_31 _let_397 _let_541 QUANTIFIERS_INST_E_MATCHING _let_579)) :args _let_578)) _let_577 :args (_let_563 false _let_576)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_577 :args (_let_511 tptp.a _let_416 QUANTIFIERS_INST_E_MATCHING _let_579)) :args _let_578)) _let_577 :args (_let_562 false _let_576)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_577 :args (_let_511 tptp.identity _let_416 QUANTIFIERS_INST_E_MATCHING _let_579)) :args _let_578)) _let_577 :args (_let_561 false _let_576)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_577 :args (_let_511 _let_13 _let_416 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% 1.30/1.48  )
% 1.30/1.49  % SZS output end Proof for GRP576-1
% 1.30/1.50  % cvc5---1.0.5 exiting
% 1.30/1.50  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------