TSTP Solution File: GRP498-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP498-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 00:26:14 EDT 2023

% Result   : Unsatisfiable 1.62s 1.86s
% Output   : Proof 1.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP498-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 21:45:00 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.s1foNWxHDb/cvc5---1.0.5_16610.p...
% 0.22/0.51  ------- get file name : TPTP file name is GRP498-1
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16610.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.62/1.86  % SZS status Unsatisfiable for GRP498-1
% 1.62/1.86  % SZS output start Proof for GRP498-1
% 1.75/1.94  (
% 1.75/1.94  (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 (tptp.double_divide A (tptp.double_divide B tptp.identity))) (tptp.double_divide (tptp.double_divide B (tptp.double_divide C A)) tptp.identity)) 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 tptp.c3 tptp.identity))) (let ((_let_24 (tptp.double_divide tptp.identity _let_23))) (let ((_let_25 (tptp.double_divide tptp.identity _let_24))) (let ((_let_26 (= _let_11 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.c3 _let_12) tptp.identity))))) (let ((_let_27 (tptp.double_divide _let_18 tptp.identity))) (let ((_let_28 (= (tptp.multiply tptp.identity _let_17) _let_27))) (let ((_let_29 (tptp.inverse _let_11))) (let ((_let_30 (= _let_12 _let_29))) (let ((_let_31 (tptp.inverse _let_14))) (let ((_let_32 (= _let_15 _let_31))) (let ((_let_33 (tptp.inverse _let_17))) (let ((_let_34 (= _let_18 _let_33))) (let ((_let_35 (tptp.inverse _let_20))) (let ((_let_36 (= _let_21 _let_35))) (let ((_let_37 (tptp.double_divide _let_24 tptp.identity))) (let ((_let_38 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_39 (tptp.double_divide tptp.identity _let_38))) (let ((_let_40 (tptp.double_divide tptp.identity _let_39))) (let ((_let_41 (tptp.double_divide _let_40 _let_37))) (let ((_let_42 (= tptp.c3 _let_41))) (let ((_let_43 (tptp.double_divide _let_25 tptp.identity))) (let ((_let_44 (tptp.double_divide _let_23 _let_38))) (let ((_let_45 (tptp.double_divide tptp.identity _let_44))) (let ((_let_46 (tptp.double_divide _let_45 _let_43))) (let ((_let_47 (= tptp.identity _let_46))) (let ((_let_48 (tptp.double_divide tptp.identity _let_43))) (let ((_let_49 (tptp.double_divide tptp.identity _let_48))) (let ((_let_50 (= _let_20 (tptp.double_divide _let_49 (tptp.double_divide (tptp.double_divide _let_25 _let_21) tptp.identity))))) (let ((_let_51 (= _let_37 (tptp.multiply _let_23 tptp.identity)))) (let ((_let_52 (= _let_43 (tptp.multiply _let_24 tptp.identity)))) (let ((_let_53 (tptp.inverse tptp.c3))) (let ((_let_54 (= _let_23 _let_53))) (let ((_let_55 (tptp.inverse _let_12))) (let ((_let_56 (tptp.double_divide _let_12 tptp.identity))) (let ((_let_57 (= _let_56 _let_55))) (let ((_let_58 (tptp.inverse _let_21))) (let ((_let_59 (tptp.double_divide _let_21 tptp.identity))) (let ((_let_60 (= _let_59 _let_58))) (let ((_let_61 (tptp.inverse _let_18))) (let ((_let_62 (= _let_27 _let_61))) (let ((_let_63 (tptp.inverse _let_15))) (let ((_let_64 (tptp.double_divide _let_15 tptp.identity))) (let ((_let_65 (= _let_64 _let_63))) (let ((_let_66 (= tptp.identity (tptp.double_divide _let_11 _let_29)))) (let ((_let_67 (= tptp.identity (tptp.double_divide _let_14 _let_31)))) (let ((_let_68 (= tptp.identity (tptp.double_divide _let_17 _let_33)))) (let ((_let_69 (tptp.double_divide _let_20 _let_35))) (let ((_let_70 (= tptp.identity _let_69))) (let ((_let_71 (tptp.double_divide _let_35 _let_12))) (let ((_let_72 (tptp.double_divide tptp.identity _let_71))) (let ((_let_73 (= _let_20 (tptp.double_divide _let_72 (tptp.double_divide (tptp.double_divide _let_11 _let_69) tptp.identity))))) (let ((_let_74 (tptp.double_divide _let_35 _let_15))) (let ((_let_75 (tptp.double_divide tptp.identity _let_74))) (let ((_let_76 (= _let_20 (tptp.double_divide _let_75 (tptp.double_divide (tptp.double_divide _let_14 _let_69) tptp.identity))))) (let ((_let_77 (tptp.double_divide _let_35 _let_18))) (let ((_let_78 (tptp.double_divide tptp.identity _let_77))) (let ((_let_79 (= _let_20 (tptp.double_divide _let_78 (tptp.double_divide (tptp.double_divide _let_17 _let_69) tptp.identity))))) (let ((_let_80 (tptp.double_divide _let_35 _let_56))) (let ((_let_81 (tptp.double_divide tptp.identity _let_80))) (let ((_let_82 (= _let_20 (tptp.double_divide _let_81 (tptp.double_divide (tptp.double_divide _let_12 _let_69) tptp.identity))))) (let ((_let_83 (tptp.double_divide _let_35 _let_27))) (let ((_let_84 (tptp.double_divide tptp.identity _let_83))) (let ((_let_85 (= _let_20 (tptp.double_divide _let_84 (tptp.double_divide (tptp.double_divide _let_18 _let_69) tptp.identity))))) (let ((_let_86 (tptp.double_divide _let_35 _let_59))) (let ((_let_87 (tptp.double_divide tptp.identity _let_86))) (let ((_let_88 (= _let_20 (tptp.double_divide _let_87 (tptp.double_divide (tptp.double_divide _let_21 _let_69) tptp.identity))))) (let ((_let_89 (tptp.double_divide tptp.identity _let_69))) (let ((_let_90 (tptp.double_divide _let_89 tptp.identity))) (let ((_let_91 (tptp.double_divide tptp.identity (tptp.double_divide _let_35 _let_38)))) (let ((_let_92 (= _let_20 (tptp.double_divide _let_91 _let_90)))) (let ((_let_93 (tptp.double_divide _let_39 tptp.identity))) (let ((_let_94 (= tptp.identity (tptp.double_divide _let_40 _let_93)))) (let ((_let_95 (tptp.double_divide _let_40 tptp.identity))) (let ((_let_96 (tptp.double_divide _let_38 _let_38))) (let ((_let_97 (tptp.double_divide tptp.identity _let_96))) (let ((_let_98 (= tptp.identity (tptp.double_divide _let_97 _let_95)))) (let ((_let_99 (tptp.double_divide _let_41 tptp.identity))) (let ((_let_100 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_95)))) (let ((_let_101 (tptp.double_divide _let_100 _let_99))) (let ((_let_102 (= _let_24 _let_101))) (let ((_let_103 (tptp.double_divide _let_23 tptp.identity))) (let ((_let_104 (tptp.double_divide tptp.identity _let_103))) (let ((_let_105 (tptp.double_divide tptp.identity _let_104))) (let ((_let_106 (tptp.double_divide _let_105 (tptp.double_divide _let_44 tptp.identity)))) (let ((_let_107 (= tptp.identity _let_106))) (let ((_let_108 (tptp.double_divide _let_45 tptp.identity))) (let ((_let_109 (tptp.double_divide _let_97 _let_108))) (let ((_let_110 (= _let_23 _let_109))) (let ((_let_111 (tptp.double_divide _let_46 tptp.identity))) (let ((_let_112 (tptp.double_divide tptp.identity _let_108))) (let ((_let_113 (tptp.double_divide tptp.identity _let_112))) (let ((_let_114 (tptp.double_divide _let_113 _let_111))) (let ((_let_115 (= _let_25 _let_114))) (let ((_let_116 (tptp.double_divide _let_49 tptp.identity))) (let ((_let_117 (tptp.double_divide tptp.identity (tptp.double_divide _let_43 _let_38)))) (let ((_let_118 (tptp.double_divide _let_117 _let_116))) (let ((_let_119 (= tptp.identity _let_118))) (let ((_let_120 (tptp.double_divide tptp.identity _let_116))) (let ((_let_121 (tptp.double_divide tptp.identity _let_120))) (let ((_let_122 (= _let_11 (tptp.double_divide _let_121 (tptp.double_divide (tptp.double_divide _let_49 _let_12) tptp.identity))))) (let ((_let_123 (tptp.double_divide _let_56 _let_69))) (let ((_let_124 (tptp.double_divide _let_123 tptp.identity))) (let ((_let_125 (tptp.double_divide _let_56 tptp.identity))) (let ((_let_126 (tptp.double_divide _let_35 _let_125))) (let ((_let_127 (tptp.double_divide tptp.identity _let_126))) (let ((_let_128 (tptp.double_divide _let_127 _let_124))) (let ((_let_129 (= _let_20 _let_128))) (let ((_let_130 (tptp.double_divide _let_59 _let_69))) (let ((_let_131 (tptp.double_divide _let_130 tptp.identity))) (let ((_let_132 (tptp.double_divide _let_59 tptp.identity))) (let ((_let_133 (tptp.double_divide _let_35 _let_132))) (let ((_let_134 (= _let_20 (tptp.double_divide (tptp.double_divide tptp.identity _let_133) _let_131)))) (let ((_let_135 (tptp.double_divide _let_27 _let_69))) (let ((_let_136 (tptp.double_divide _let_135 tptp.identity))) (let ((_let_137 (tptp.double_divide _let_27 tptp.identity))) (let ((_let_138 (tptp.double_divide _let_35 _let_137))) (let ((_let_139 (tptp.double_divide tptp.identity _let_138))) (let ((_let_140 (tptp.double_divide _let_139 _let_136))) (let ((_let_141 (= _let_20 _let_140))) (let ((_let_142 (tptp.double_divide _let_64 _let_69))) (let ((_let_143 (tptp.double_divide _let_142 tptp.identity))) (let ((_let_144 (tptp.double_divide _let_64 tptp.identity))) (let ((_let_145 (tptp.double_divide _let_35 _let_144))) (let ((_let_146 (tptp.double_divide tptp.identity _let_145))) (let ((_let_147 (tptp.double_divide _let_146 _let_143))) (let ((_let_148 (= _let_20 _let_147))) (let ((_let_149 (tptp.double_divide tptp.identity _let_12))) (let ((_let_150 (tptp.double_divide tptp.identity _let_149))) (let ((_let_151 (= _let_11 (tptp.double_divide _let_150 (tptp.double_divide (tptp.double_divide _let_11 _let_12) tptp.identity))))) (let ((_let_152 (tptp.double_divide tptp.identity _let_15))) (let ((_let_153 (tptp.double_divide tptp.identity _let_152))) (let ((_let_154 (= _let_14 (tptp.double_divide _let_153 (tptp.double_divide (tptp.double_divide _let_14 _let_15) tptp.identity))))) (let ((_let_155 (tptp.double_divide tptp.identity _let_18))) (let ((_let_156 (tptp.double_divide tptp.identity _let_155))) (let ((_let_157 (= _let_17 (tptp.double_divide _let_156 (tptp.double_divide (tptp.double_divide _let_17 _let_18) tptp.identity))))) (let ((_let_158 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_21)))) (let ((_let_159 (= _let_20 (tptp.double_divide _let_158 (tptp.double_divide (tptp.double_divide _let_20 _let_21) tptp.identity))))) (let ((_let_160 (= (tptp.multiply tptp.identity tptp.identity) (tptp.double_divide _let_38 tptp.identity)))) (let ((_let_161 (= _let_108 (tptp.multiply _let_44 tptp.identity)))) (let ((_let_162 (tptp.double_divide _let_48 tptp.identity))) (let ((_let_163 (= _let_162 (tptp.multiply _let_43 tptp.identity)))) (let ((_let_164 (= (tptp.multiply tptp.identity _let_23) (tptp.double_divide _let_103 tptp.identity)))) (let ((_let_165 (= (tptp.multiply tptp.identity _let_24) (tptp.double_divide _let_37 tptp.identity)))) (let ((_let_166 (= (tptp.multiply tptp.identity _let_25) (tptp.double_divide _let_43 tptp.identity)))) (let ((_let_167 (= _let_99 (tptp.multiply _let_37 _let_40)))) (let ((_let_168 (tptp.inverse tptp.identity))) (let ((_let_169 (= _let_38 _let_168))) (let ((_let_170 (tptp.inverse _let_24))) (let ((_let_171 (= _let_37 _let_170))) (let ((_let_172 (tptp.inverse _let_56))) (let ((_let_173 (= _let_125 _let_172))) (let ((_let_174 (tptp.inverse _let_64))) (let ((_let_175 (= _let_144 _let_174))) (let ((_let_176 (tptp.inverse _let_27))) (let ((_let_177 (= _let_137 _let_176))) (let ((_let_178 (tptp.inverse _let_59))) (let ((_let_179 (= _let_132 _let_178))) (let ((_let_180 (= tptp.identity (tptp.double_divide tptp.c3 _let_53)))) (let ((_let_181 (= tptp.identity (tptp.double_divide _let_12 _let_55)))) (let ((_let_182 (= tptp.identity (tptp.double_divide _let_21 _let_58)))) (let ((_let_183 (= tptp.identity (tptp.double_divide _let_18 _let_61)))) (let ((_let_184 (tptp.double_divide _let_15 _let_63))) (let ((_let_185 (= tptp.identity _let_184))) (let ((_let_186 (tptp.double_divide tptp.identity (tptp.double_divide _let_108 _let_38)))) (let ((_let_187 (= _let_97 (tptp.double_divide _let_186 (tptp.double_divide (tptp.double_divide tptp.identity _let_109) tptp.identity))))) (let ((_let_188 (= _let_100 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_99 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_101) tptp.identity))))) (let ((_let_189 (tptp.double_divide tptp.identity (tptp.double_divide _let_63 _let_144)))) (let ((_let_190 (= _let_15 (tptp.double_divide _let_189 (tptp.double_divide (tptp.double_divide _let_64 _let_184) tptp.identity))))) (let ((_let_191 (tptp.double_divide _let_71 tptp.identity))) (let ((_let_192 (tptp.double_divide _let_35 tptp.identity))) (let ((_let_193 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_192)))) (let ((_let_194 (tptp.double_divide _let_193 _let_191))) (let ((_let_195 (= _let_11 _let_194))) (let ((_let_196 (tptp.double_divide (tptp.double_divide _let_72 _let_56) tptp.identity))) (let ((_let_197 (tptp.double_divide _let_72 tptp.identity))) (let ((_let_198 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_197)))) (let ((_let_199 (tptp.double_divide _let_198 _let_196))) (let ((_let_200 (= _let_12 _let_199))) (let ((_let_201 (tptp.double_divide _let_74 tptp.identity))) (let ((_let_202 (tptp.double_divide _let_193 _let_201))) (let ((_let_203 (= _let_14 _let_202))) (let ((_let_204 (tptp.double_divide _let_75 tptp.identity))) (let ((_let_205 (tptp.double_divide tptp.identity (tptp.double_divide _let_15 _let_38)))) (let ((_let_206 (tptp.double_divide _let_205 _let_204))) (let ((_let_207 (= _let_35 _let_206))) (let ((_let_208 (tptp.double_divide (tptp.double_divide _let_75 _let_64) tptp.identity))) (let ((_let_209 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_204)))) (let ((_let_210 (tptp.double_divide _let_209 _let_208))) (let ((_let_211 (= _let_15 _let_210))) (let ((_let_212 (tptp.double_divide _let_77 tptp.identity))) (let ((_let_213 (tptp.double_divide _let_193 _let_212))) (let ((_let_214 (= _let_17 _let_213))) (let ((_let_215 (tptp.double_divide (tptp.double_divide _let_78 _let_27) tptp.identity))) (let ((_let_216 (tptp.double_divide _let_78 tptp.identity))) (let ((_let_217 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_216)))) (let ((_let_218 (tptp.double_divide _let_217 _let_215))) (let ((_let_219 (= _let_18 _let_218))) (let ((_let_220 (tptp.double_divide _let_193 (tptp.double_divide _let_80 tptp.identity)))) (let ((_let_221 (= _let_12 _let_220))) (let ((_let_222 (tptp.double_divide _let_81 tptp.identity))) (let ((_let_223 (tptp.double_divide _let_56 _let_38))) (let ((_let_224 (tptp.double_divide tptp.identity _let_223))) (let ((_let_225 (tptp.double_divide _let_224 _let_222))) (let ((_let_226 (= _let_35 _let_225))) (let ((_let_227 (tptp.double_divide (tptp.double_divide _let_81 _let_125) tptp.identity))) (let ((_let_228 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_222)))) (let ((_let_229 (tptp.double_divide _let_228 _let_227))) (let ((_let_230 (= _let_56 _let_229))) (let ((_let_231 (tptp.double_divide _let_193 (tptp.double_divide _let_83 tptp.identity)))) (let ((_let_232 (= _let_18 _let_231))) (let ((_let_233 (tptp.double_divide (tptp.double_divide _let_84 _let_137) tptp.identity))) (let ((_let_234 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_84 tptp.identity))))) (let ((_let_235 (tptp.double_divide _let_234 _let_233))) (let ((_let_236 (= _let_27 _let_235))) (let ((_let_237 (= _let_21 (tptp.double_divide _let_193 (tptp.double_divide _let_86 tptp.identity))))) (let ((_let_238 (= _let_59 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_87 tptp.identity))) (tptp.double_divide (tptp.double_divide _let_87 _let_132) tptp.identity))))) (let ((_let_239 (tptp.double_divide _let_24 _let_69))) (let ((_let_240 (tptp.double_divide _let_239 tptp.identity))) (let ((_let_241 (= _let_15 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_63 _let_240)) (tptp.double_divide (tptp.double_divide _let_239 _let_184) tptp.identity))))) (let ((_let_242 (tptp.double_divide _let_91 tptp.identity))) (let ((_let_243 (= _let_35 (tptp.double_divide _let_97 _let_242)))) (let ((_let_244 (= _let_15 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_63 _let_93)) (tptp.double_divide (tptp.double_divide _let_39 _let_184) tptp.identity))))) (let ((_let_245 (tptp.double_divide _let_97 tptp.identity))) (let ((_let_246 (= _let_38 (tptp.double_divide _let_97 _let_245)))) (let ((_let_247 (tptp.double_divide _let_106 tptp.identity))) (let ((_let_248 (tptp.double_divide _let_105 tptp.identity))) (let ((_let_249 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_248)))) (let ((_let_250 (tptp.double_divide _let_249 _let_247))) (let ((_let_251 (= _let_44 _let_250))) (let ((_let_252 (tptp.double_divide _let_112 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(tptp.double_divide _let_125 _let_38))) (let ((_let_268 (tptp.double_divide tptp.identity _let_267))) (let ((_let_269 (tptp.double_divide _let_268 _let_266))) (let ((_let_270 (= _let_35 _let_269))) (let ((_let_271 (tptp.double_divide _let_128 tptp.identity))) (let ((_let_272 (tptp.double_divide tptp.identity _let_266))) (let ((_let_273 (tptp.double_divide tptp.identity _let_272))) (let ((_let_274 (tptp.double_divide _let_273 _let_271))) (let ((_let_275 (= _let_123 _let_274))) (let ((_let_276 (tptp.double_divide _let_193 (tptp.double_divide _let_133 tptp.identity)))) (let ((_let_277 (= _let_59 _let_276))) (let ((_let_278 (tptp.double_divide _let_138 tptp.identity))) (let ((_let_279 (tptp.double_divide _let_193 _let_278))) (let ((_let_280 (= _let_27 _let_279))) (let ((_let_281 (tptp.double_divide _let_139 tptp.identity))) (let ((_let_282 (tptp.double_divide _let_137 _let_38))) (let ((_let_283 (tptp.double_divide tptp.identity _let_282))) (let ((_let_284 (tptp.double_divide _let_283 _let_281))) (let ((_let_285 (= _let_35 _let_284))) (let ((_let_286 (tptp.double_divide _let_140 tptp.identity))) (let ((_let_287 (tptp.double_divide tptp.identity _let_281))) (let ((_let_288 (tptp.double_divide tptp.identity _let_287))) (let ((_let_289 (tptp.double_divide _let_288 _let_286))) (let ((_let_290 (= _let_135 _let_289))) (let ((_let_291 (tptp.double_divide _let_145 tptp.identity))) (let ((_let_292 (= _let_64 (tptp.double_divide _let_193 _let_291)))) (let ((_let_293 (tptp.double_divide _let_146 tptp.identity))) (let ((_let_294 (tptp.double_divide tptp.identity (tptp.double_divide _let_144 _let_38)))) (let ((_let_295 (tptp.double_divide _let_294 _let_293))) (let ((_let_296 (= _let_35 _let_295))) (let ((_let_297 (tptp.double_divide _let_147 tptp.identity))) (let ((_let_298 (tptp.double_divide tptp.identity _let_293))) (let ((_let_299 (tptp.double_divide tptp.identity _let_298))) (let ((_let_300 (tptp.double_divide _let_299 _let_297))) (let ((_let_301 (= _let_142 _let_300))) 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(tptp.double_divide tptp.c3 _let_23) tptp.identity))))) (let ((_let_316 (tptp.double_divide (tptp.double_divide _let_12 _let_56) tptp.identity))) (let ((_let_317 (tptp.double_divide tptp.identity _let_56))) (let ((_let_318 (tptp.double_divide tptp.identity _let_317))) (let ((_let_319 (tptp.double_divide _let_318 _let_316))) (let ((_let_320 (= _let_12 _let_319))) (let ((_let_321 (tptp.double_divide (tptp.double_divide _let_18 _let_27) tptp.identity))) (let ((_let_322 (tptp.double_divide tptp.identity _let_27))) (let ((_let_323 (tptp.double_divide tptp.identity _let_322))) (let ((_let_324 (tptp.double_divide _let_323 _let_321))) (let ((_let_325 (= _let_18 _let_324))) (let ((_let_326 (tptp.double_divide (tptp.double_divide _let_15 _let_64) tptp.identity))) (let ((_let_327 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_64)))) (let ((_let_328 (tptp.double_divide _let_327 _let_326))) (let ((_let_329 (= _let_15 _let_328))) (let ((_let_330 (= _let_197 (tptp.multiply _let_71 tptp.identity)))) (let ((_let_331 (= _let_216 (tptp.multiply _let_77 tptp.identity)))) (let ((_let_332 (= _let_245 (tptp.multiply _let_96 tptp.identity)))) (let ((_let_333 (= _let_248 (tptp.multiply _let_104 tptp.identity)))) (let ((_let_334 (= _let_252 (tptp.multiply _let_108 tptp.identity)))) (let ((_let_335 (= (tptp.double_divide _let_113 tptp.identity) (tptp.multiply _let_112 tptp.identity)))) (let ((_let_336 (= _let_259 (tptp.multiply _let_120 tptp.identity)))) (let ((_let_337 (= _let_302 (tptp.multiply _let_149 tptp.identity)))) (let ((_let_338 (= _let_309 (tptp.multiply _let_152 tptp.identity)))) (let ((_let_339 (= _let_311 (tptp.multiply _let_155 tptp.identity)))) (let ((_let_340 (= _let_191 (tptp.multiply _let_12 _let_35)))) (let ((_let_341 (= _let_212 (tptp.multiply _let_18 _let_35)))) (let ((_let_342 (= _let_263 (tptp.multiply _let_125 _let_35)))) (let ((_let_343 (= _let_278 (tptp.multiply _let_137 _let_35)))) (let ((_let_344 (= (tptp.multiply tptp.identity _let_39) (tptp.double_divide _let_93 tptp.identity)))) (let ((_let_345 (= (tptp.multiply tptp.identity _let_239) (tptp.double_divide _let_240 tptp.identity)))) (let ((_let_346 (= (tptp.multiply tptp.identity _let_48) (tptp.double_divide _let_162 tptp.identity)))) (let ((_let_347 (= (tptp.double_divide _let_109 tptp.identity) (tptp.multiply _let_108 _let_97)))) (let ((_let_348 (= (tptp.multiply _let_111 _let_113) (tptp.double_divide _let_114 tptp.identity)))) (let ((_let_349 (= _let_93 (tptp.inverse _let_39)))) (let ((_let_350 (= _let_95 (tptp.inverse _let_40)))) (let ((_let_351 (tptp.double_divide _let_25 _let_69))) (let ((_let_352 (= (tptp.double_divide _let_351 tptp.identity) (tptp.inverse _let_351)))) (let ((_let_353 (tptp.double_divide _let_23 _let_69))) (let ((_let_354 (= (tptp.double_divide _let_353 tptp.identity) (tptp.inverse _let_353)))) (let ((_let_355 (tptp.inverse _let_142))) (let ((_let_356 (= _let_143 _let_355))) (let ((_let_357 (= _let_90 (tptp.inverse _let_89)))) (let ((_let_358 (= tptp.identity (tptp.double_divide tptp.identity _let_168)))) (let ((_let_359 (= tptp.identity (tptp.double_divide _let_24 _let_170)))) (let ((_let_360 (= tptp.identity (tptp.double_divide _let_56 _let_172)))) (let ((_let_361 (= tptp.identity (tptp.double_divide _let_64 _let_174)))) (let ((_let_362 (= tptp.identity (tptp.double_divide _let_27 _let_176)))) (let ((_let_363 (tptp.double_divide _let_59 _let_178))) (let ((_let_364 (= tptp.identity _let_363))) (let ((_let_365 (= _let_318 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_316 _let_23)) (tptp.double_divide (tptp.double_divide tptp.c3 _let_319) tptp.identity))))) (let ((_let_366 (= _let_59 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_178 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_363) tptp.identity))))) (let ((_let_367 (= _let_249 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_247 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_250) tptp.identity))))) (let ((_let_368 (= _let_59 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_178 _let_132)) (tptp.double_divide (tptp.double_divide _let_59 _let_363) tptp.identity))))) (let ((_let_369 (= _let_327 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_326 _let_15)) (tptp.double_divide (tptp.double_divide _let_14 _let_328) tptp.identity))))) (let ((_let_370 (= _let_323 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_321 _let_18)) (tptp.double_divide (tptp.double_divide _let_17 _let_324) tptp.identity))))) (let ((_let_371 (= _let_273 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_271 _let_192)) (tptp.double_divide (tptp.double_divide _let_35 _let_274) tptp.identity))))) (let ((_let_372 (= _let_288 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_286 _let_192)) (tptp.double_divide (tptp.double_divide _let_35 _let_289) tptp.identity))))) (let ((_let_373 (tptp.double_divide tptp.identity (tptp.double_divide _let_263 _let_56)))) (let ((_let_374 (= _let_193 (tptp.double_divide _let_373 (tptp.double_divide (tptp.double_divide _let_12 _let_264) tptp.identity))))) (let ((_let_375 (tptp.double_divide tptp.identity (tptp.double_divide _let_278 _let_27)))) (let ((_let_376 (= _let_193 (tptp.double_divide _let_375 (tptp.double_divide (tptp.double_divide _let_18 _let_279) tptp.identity))))) (let ((_let_377 (= _let_63 (tptp.double_divide _let_205 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_63 _let_15)) tptp.identity))))) (let ((_let_378 (tptp.double_divide _let_63 _let_18))) (let ((_let_379 (= _let_63 (tptp.double_divide _let_313 (tptp.double_divide (tptp.double_divide tptp.identity _let_378) tptp.identity))))) (let ((_let_380 (tptp.double_divide _let_186 tptp.identity))) (let ((_let_381 (= _let_108 (tptp.double_divide _let_97 _let_380)))) (let ((_let_382 (= _let_24 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_380)) (tptp.double_divide (tptp.double_divide _let_186 _let_37) tptp.identity))))) (let ((_let_383 (= _let_63 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_59 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_63 _let_59)) tptp.identity))))) (let ((_let_384 (= _let_299 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_297 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_300) tptp.identity))))) (let ((_let_385 (tptp.double_divide _let_63 _let_43))) (let ((_let_386 (tptp.double_divide _let_385 tptp.identity))) (let ((_let_387 (tptp.double_divide _let_63 tptp.identity))) (let ((_let_388 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_387)))) (let ((_let_389 (tptp.double_divide _let_388 _let_386))) (let ((_let_390 (= _let_25 _let_389))) (let ((_let_391 (tptp.double_divide tptp.identity _let_385))) (let ((_let_392 (tptp.double_divide _let_117 (tptp.double_divide _let_391 tptp.identity)))) (let ((_let_393 (= _let_63 _let_392))) (let ((_let_394 (tptp.double_divide _let_63 _let_289))) (let ((_let_395 (tptp.double_divide tptp.identity (tptp.double_divide _let_286 _let_387)))) (let ((_let_396 (tptp.double_divide _let_395 (tptp.double_divide _let_394 tptp.identity)))) (let ((_let_397 (= _let_288 _let_396))) (let ((_let_398 (= _let_299 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_297 _let_387)) (tptp.double_divide (tptp.double_divide _let_63 _let_300) tptp.identity))))) (let ((_let_399 (= _let_142 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_189 tptp.identity))) (tptp.double_divide (tptp.double_divide _let_189 _let_143) tptp.identity))))) (let ((_let_400 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_193 tptp.identity))))) (let ((_let_401 (= _let_71 (tptp.double_divide _let_400 (tptp.double_divide _let_194 tptp.identity))))) (let ((_let_402 (tptp.double_divide tptp.identity _let_264))) (let ((_let_403 (tptp.double_divide tptp.identity (tptp.double_divide _let_263 _let_38)))) (let ((_let_404 (tptp.double_divide _let_403 (tptp.double_divide _let_402 tptp.identity)))) (let ((_let_405 (= _let_193 _let_404))) (let ((_let_406 (= _let_74 (tptp.double_divide _let_400 (tptp.double_divide _let_202 tptp.identity))))) (let ((_let_407 (tptp.double_divide _let_206 tptp.identity))) (let ((_let_408 (tptp.double_divide _let_205 tptp.identity))) (let ((_let_409 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_408)))) (let ((_let_410 (tptp.double_divide _let_409 _let_407))) (let ((_let_411 (= _let_75 _let_410))) (let ((_let_412 (= _let_77 (tptp.double_divide _let_400 (tptp.double_divide _let_213 tptp.identity))))) (let ((_let_413 (tptp.double_divide tptp.identity _let_279))) (let ((_let_414 (tptp.double_divide _let_413 tptp.identity))) (let ((_let_415 (tptp.double_divide tptp.identity (tptp.double_divide _let_278 _let_38)))) (let ((_let_416 (tptp.double_divide _let_415 _let_414))) (let ((_let_417 (= _let_193 _let_416))) (let ((_let_418 (= _let_80 (tptp.double_divide _let_400 (tptp.double_divide _let_220 tptp.identity))))) (let ((_let_419 (= _let_273 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_271 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_274) tptp.identity))))) (let ((_let_420 (tptp.double_divide _let_224 tptp.identity))) (let ((_let_421 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_420)))) (let ((_let_422 (= _let_81 (tptp.double_divide _let_421 (tptp.double_divide _let_225 tptp.identity))))) (let ((_let_423 (= _let_83 (tptp.double_divide _let_400 (tptp.double_divide _let_231 tptp.identity))))) (let ((_let_424 (= _let_288 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_286 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_289) tptp.identity))))) (let ((_let_425 (tptp.double_divide tptp.identity (tptp.double_divide _let_258 _let_245)))) (let ((_let_426 (= _let_260 (tptp.double_divide _let_425 (tptp.double_divide (tptp.double_divide _let_97 _let_261) tptp.identity))))) (let ((_let_427 (tptp.double_divide tptp.identity _let_124))) (let ((_let_428 (= _let_123 (tptp.double_divide _let_40 (tptp.double_divide _let_427 tptp.identity))))) (let ((_let_429 (tptp.double_divide _let_268 tptp.identity))) (let ((_let_430 (= _let_127 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_429)) (tptp.double_divide _let_269 tptp.identity))))) (let ((_let_431 (tptp.double_divide _let_272 tptp.identity))) (let ((_let_432 (= _let_127 (tptp.double_divide _let_40 _let_431)))) (let ((_let_433 (= _let_133 (tptp.double_divide _let_400 (tptp.double_divide _let_276 tptp.identity))))) (let ((_let_434 (= _let_130 (tptp.double_divide _let_40 (tptp.double_divide (tptp.double_divide tptp.identity _let_131) tptp.identity))))) (let ((_let_435 (tptp.double_divide (tptp.double_divide tptp.identity _let_136) tptp.identity))) (let ((_let_436 (= _let_135 (tptp.double_divide _let_40 _let_435)))) (let ((_let_437 (tptp.double_divide _let_283 tptp.identity))) (let ((_let_438 (= _let_139 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_437)) (tptp.double_divide _let_284 tptp.identity))))) (let ((_let_439 (tptp.double_divide _let_287 tptp.identity))) (let ((_let_440 (= _let_139 (tptp.double_divide _let_40 _let_439)))) (let ((_let_441 (= _let_146 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_294 tptp.identity))) (tptp.double_divide _let_295 tptp.identity))))) (let ((_let_442 (= _let_146 (tptp.double_divide _let_40 (tptp.double_divide _let_298 tptp.identity))))) (let ((_let_443 (tptp.double_divide _let_304 tptp.identity))) (let ((_let_444 (tptp.double_divide tptp.identity (tptp.double_divide tptp.a3 _let_443)))) (let ((_let_445 (= tptp.b3 (tptp.double_divide _let_444 (tptp.double_divide (tptp.double_divide _let_304 _let_11) tptp.identity))))) (let ((_let_446 (tptp.double_divide (tptp.double_divide _let_307 _let_319) tptp.identity))) (let ((_let_447 (tptp.double_divide tptp.identity (tptp.double_divide _let_316 (tptp.double_divide _let_307 tptp.identity))))) (let ((_let_448 (tptp.double_divide _let_447 _let_446))) (let ((_let_449 (= _let_318 _let_448))) (let ((_let_450 (tptp.double_divide tptp.identity (tptp.double_divide tptp.a3 _let_408)))) (let ((_let_451 (= _let_1 (tptp.double_divide _let_450 (tptp.double_divide (tptp.double_divide _let_205 _let_14) tptp.identity))))) (let ((_let_452 (tptp.double_divide (tptp.double_divide tptp.identity _let_14) tptp.identity))) (let ((_let_453 (tptp.double_divide tptp.identity (tptp.double_divide tptp.a3 _let_38)))) (let ((_let_454 (tptp.double_divide _let_453 _let_452))) (let ((_let_455 (= _let_1 _let_454))) (let ((_let_456 (tptp.double_divide _let_155 tptp.identity))) (let ((_let_457 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_178 _let_456)) (tptp.double_divide (tptp.double_divide _let_155 _let_363) tptp.identity)))) (let ((_let_458 (= _let_59 _let_457))) (let ((_let_459 (tptp.double_divide _let_313 tptp.identity))) (let ((_let_460 (tptp.double_divide tptp.identity (tptp.double_divide tptp.b3 _let_459)))) (let ((_let_461 (= tptp.c3 (tptp.double_divide _let_460 (tptp.double_divide (tptp.double_divide _let_313 _let_17) tptp.identity))))) (let ((_let_462 (tptp.double_divide (tptp.double_divide tptp.identity _let_17) tptp.identity))) (let ((_let_463 (tptp.double_divide tptp.identity (tptp.double_divide tptp.b3 _let_38)))) (let ((_let_464 (tptp.double_divide _let_463 _let_462))) (let ((_let_465 (= tptp.c3 _let_464))) (let ((_let_466 (= _let_273 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_271 _let_125)) (tptp.double_divide (tptp.double_divide _let_56 _let_274) tptp.identity))))) (let ((_let_467 (= _let_288 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_286 _let_137)) (tptp.double_divide (tptp.double_divide _let_27 _let_289) tptp.identity))))) (let ((_let_468 (= (tptp.multiply _let_18 _let_63) (tptp.double_divide _let_378 tptp.identity)))) (let ((_let_469 (= (tptp.multiply _let_137 _let_63) (tptp.double_divide (tptp.double_divide _let_63 _let_137) tptp.identity)))) (let ((_let_470 (= (tptp.multiply _let_302 tptp.identity) (tptp.double_divide _let_306 tptp.identity)))) (let ((_let_471 (= (tptp.multiply _let_309 tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity _let_309) tptp.identity)))) (let ((_let_472 (= (tptp.multiply _let_311 tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity _let_311) tptp.identity)))) (let ((_let_473 (= _let_443 (tptp.multiply _let_303 tptp.identity)))) (let ((_let_474 (= _let_459 (tptp.multiply _let_312 tptp.identity)))) (let ((_let_475 (= _let_420 (tptp.multiply _let_223 tptp.identity)))) (let ((_let_476 (tptp.double_divide _let_27 _let_38))) (let ((_let_477 (tptp.double_divide tptp.identity _let_476))) (let ((_let_478 (= (tptp.double_divide _let_477 tptp.identity) (tptp.multiply _let_476 tptp.identity)))) (let ((_let_479 (= _let_429 (tptp.multiply _let_267 tptp.identity)))) (let ((_let_480 (= _let_437 (tptp.multiply _let_282 tptp.identity)))) (let ((_let_481 (= (tptp.double_divide _let_318 tptp.identity) (tptp.multiply _let_317 tptp.identity)))) (let ((_let_482 (= (tptp.double_divide _let_323 tptp.identity) (tptp.multiply _let_322 tptp.identity)))) (let ((_let_483 (= _let_431 (tptp.multiply _let_266 tptp.identity)))) (let ((_let_484 (= _let_439 (tptp.multiply _let_281 tptp.identity)))) (let ((_let_485 (= (tptp.multiply tptp.identity _let_155) (tptp.double_divide _let_456 tptp.identity)))) (let ((_let_486 (= (tptp.multiply _let_196 _let_198) (tptp.double_divide _let_199 tptp.identity)))) (let ((_let_487 (= (tptp.multiply _let_208 _let_209) (tptp.double_divide _let_210 tptp.identity)))) (let ((_let_488 (= (tptp.multiply _let_215 _let_217) (tptp.double_divide _let_218 tptp.identity)))) (let ((_let_489 (= (tptp.multiply _let_271 _let_273) (tptp.double_divide _let_274 tptp.identity)))) (let ((_let_490 (= (tptp.multiply _let_286 _let_288) (tptp.double_divide _let_289 tptp.identity)))) (let ((_let_491 (= (tptp.multiply _let_297 _let_299) (tptp.double_divide _let_300 tptp.identity)))) (let ((_let_492 (= _let_201 (tptp.inverse _let_74)))) (let ((_let_493 (= _let_222 (tptp.inverse _let_81)))) (let ((_let_494 (tptp.double_divide _let_123 _let_184))) (let ((_let_495 (= (tptp.double_divide _let_494 tptp.identity) (tptp.inverse _let_494)))) (let ((_let_496 (tptp.double_divide _let_135 _let_184))) (let ((_let_497 (= (tptp.double_divide _let_496 tptp.identity) (tptp.inverse _let_496)))) (let ((_let_498 (= _let_291 (tptp.inverse _let_145)))) (let ((_let_499 (tptp.double_divide _let_142 _let_184))) (let ((_let_500 (= (tptp.double_divide _let_499 tptp.identity) (tptp.inverse _let_499)))) (let ((_let_501 (tptp.double_divide _let_142 _let_355))) (let ((_let_502 (= tptp.identity _let_501))) (let ((_let_503 (= _let_453 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_452 _let_18)) (tptp.double_divide (tptp.double_divide _let_17 _let_454) tptp.identity))))) (let ((_let_504 (= _let_453 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_452 _let_192)) (tptp.double_divide (tptp.double_divide _let_35 _let_454) tptp.identity))))) (let ((_let_505 (tptp.double_divide tptp.identity (tptp.double_divide _let_386 _let_248)))) (let ((_let_506 (= _let_388 (tptp.double_divide _let_505 (tptp.double_divide (tptp.double_divide _let_105 _let_389) tptp.identity))))) (let ((_let_507 (= _let_228 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_227 _let_56)) (tptp.double_divide (tptp.double_divide _let_12 _let_229) tptp.identity))))) (let ((_let_508 (= _let_234 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_233 _let_27)) (tptp.double_divide (tptp.double_divide _let_18 _let_235) tptp.identity))))) (let ((_let_509 (= _let_453 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_452 _let_387)) (tptp.double_divide (tptp.double_divide _let_63 _let_454) tptp.identity))))) (let ((_let_510 (= _let_228 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_227 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_229) tptp.identity))))) (let ((_let_511 (= _let_234 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_233 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_235) tptp.identity))))) (let ((_let_512 (= _let_409 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_407 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_410) tptp.identity))))) (let ((_let_513 (= _let_447 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_446 _let_443)) (tptp.double_divide (tptp.double_divide _let_304 _let_448) tptp.identity))))) (let ((_let_514 (= _let_447 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_446 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_448) tptp.identity))))) (let ((_let_515 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_178 tptp.identity))))) (let ((_let_516 (= _let_123 (tptp.double_divide _let_515 (tptp.double_divide (tptp.double_divide _let_178 _let_124) tptp.identity))))) (let ((_let_517 (= _let_135 (tptp.double_divide _let_515 (tptp.double_divide (tptp.double_divide _let_178 _let_136) tptp.identity))))) (let ((_let_518 (= _let_263 (tptp.double_divide _let_224 (tptp.double_divide _let_373 tptp.identity))))) (let ((_let_519 (= _let_278 (tptp.double_divide _let_477 (tptp.double_divide _let_375 tptp.identity))))) (let ((_let_520 (tptp.double_divide tptp.identity (tptp.double_divide _let_355 _let_386)))) (let ((_let_521 (= _let_142 (tptp.double_divide _let_520 (tptp.double_divide (tptp.double_divide _let_385 _let_501) tptp.identity))))) (let ((_let_522 (= _let_391 (tptp.double_divide _let_256 (tptp.double_divide _let_392 tptp.identity))))) (let ((_let_523 (= _let_394 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_395 tptp.identity))) (tptp.double_divide _let_396 tptp.identity))))) (let ((_let_524 (= _let_402 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_403 tptp.identity))) (tptp.double_divide _let_404 tptp.identity))))) (let ((_let_525 (= _let_413 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_415 tptp.identity))) (tptp.double_divide _let_416 tptp.identity))))) (let ((_let_526 (tptp.double_divide _let_444 tptp.identity))) (let ((_let_527 (tptp.double_divide tptp.identity (tptp.double_divide _let_443 _let_38)))) (let ((_let_528 (tptp.double_divide _let_527 _let_526))) (let ((_let_529 (= tptp.a3 _let_528))) (let ((_let_530 (tptp.double_divide _let_453 tptp.identity))) (let ((_let_531 (= tptp.a3 (tptp.double_divide _let_97 _let_530)))) (let ((_let_532 (= tptp.b3 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_459 _let_38)) (tptp.double_divide _let_460 tptp.identity))))) (let ((_let_533 (tptp.double_divide tptp.identity (tptp.double_divide _let_526 (tptp.double_divide _let_1 tptp.identity))))) (let ((_let_534 (= _let_527 (tptp.double_divide _let_533 (tptp.double_divide (tptp.double_divide _let_1 _let_528) tptp.identity))))) (let ((_let_535 (= _let_386 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_248 _let_38)) (tptp.double_divide _let_505 tptp.identity))))) (let ((_let_536 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_263 _let_387)) tptp.identity))) (let ((_let_537 (tptp.double_divide tptp.identity (tptp.double_divide _let_387 _let_38)))) (let ((_let_538 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_63 _let_143)) tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_271 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_63 _let_56)) tptp.identity))) tptp.identity))))) (let ((_let_539 (= _let_537 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_536 (tptp.double_divide _let_538 tptp.identity))) (tptp.double_divide (tptp.double_divide _let_538 (tptp.double_divide _let_537 _let_536)) tptp.identity))))) (let ((_let_540 (tptp.double_divide tptp.identity (tptp.double_divide _let_38 (tptp.double_divide _let_520 tptp.identity))))) (let ((_let_541 (= _let_386 (tptp.double_divide _let_540 (tptp.double_divide (tptp.double_divide _let_520 (tptp.double_divide _let_386 _let_38)) tptp.identity))))) (let ((_let_542 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_293 (tptp.double_divide _let_234 tptp.identity))) tptp.identity))) (let ((_let_543 (= _let_435 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_542 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_435 _let_542)) tptp.identity))))) (let ((_let_544 (tptp.double_divide tptp.b3 _let_414))) (let ((_let_545 (tptp.double_divide tptp.b3 tptp.identity))) (let ((_let_546 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_545)))) (let ((_let_547 (= _let_544 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_546 tptp.identity))) (tptp.double_divide (tptp.double_divide _let_546 (tptp.double_divide _let_544 tptp.identity)) tptp.identity))))) (let ((_let_548 (tptp.double_divide tptp.identity (tptp.double_divide _let_355 _let_545)))) (let ((_let_549 (tptp.double_divide _let_548 tptp.identity))) (let ((_let_550 (= _let_355 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_545 _let_38)) _let_549)))) (let ((_let_551 (tptp.double_divide tptp.b3 _let_501))) (let ((_let_552 (= _let_551 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_549)) (tptp.double_divide (tptp.double_divide _let_548 (tptp.double_divide _let_551 tptp.identity)) tptp.identity))))) (let ((_let_553 (= _let_463 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_462 _let_38)) (tptp.double_divide (tptp.double_divide tptp.identity _let_464) tptp.identity))))) (let ((_let_554 (_let_9))) (let ((_let_555 (ASSUME :args _let_554))) (let ((_let_556 ((tptp.multiply A B)))) (let ((_let_557 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide A (tptp.double_divide B tptp.identity))) (tptp.double_divide (tptp.double_divide B (tptp.double_divide C A)) tptp.identity)))))) (let ((_let_558 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_559 (_let_557))) (let ((_let_560 ((tptp.double_divide B (tptp.double_divide C A))))) (let ((_let_561 ((tptp.double_divide B A)))) (let ((_let_562 (_let_8))) (let ((_let_563 (ASSUME :args _let_562))) (let ((_let_564 ((tptp.double_divide A tptp.identity)))) (let ((_let_565 (_let_7))) (let ((_let_566 (ASSUME :args _let_565))) (let ((_let_567 ((tptp.inverse A)))) (let ((_let_568 (and _let_13 _let_16 _let_19 _let_22 _let_26 _let_28 _let_30 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_let_342 _let_343 _let_344 _let_345 _let_346 _let_347 _let_348 _let_349 _let_350 _let_352 _let_354 _let_356 _let_357 _let_358 _let_359 _let_360 _let_361 _let_362 _let_364 _let_365 _let_366 _let_367 _let_368 _let_369 _let_370 _let_371 _let_372 _let_374 _let_376 _let_377 _let_379 _let_381 _let_382 _let_383 _let_384 _let_390 _let_393 _let_397 _let_398 _let_399 _let_401 _let_405 _let_406 _let_411 _let_412 _let_417 _let_418 _let_419 _let_422 _let_423 _let_424 _let_426 _let_428 _let_430 _let_432 _let_433 _let_434 _let_436 _let_438 _let_440 _let_441 _let_442 _let_445 _let_449 _let_451 _let_455 _let_458 _let_461 _let_465 _let_466 _let_467 _let_468 _let_469 _let_470 _let_471 _let_472 _let_473 _let_474 _let_475 _let_478 _let_479 _let_480 _let_481 _let_482 _let_483 _let_484 _let_485 _let_486 _let_487 _let_488 _let_489 _let_490 _let_491 _let_492 _let_493 _let_495 _let_497 _let_498 _let_500 _let_502 _let_503 _let_504 _let_506 _let_507 _let_508 _let_509 _let_510 _let_511 _let_512 _let_513 _let_514 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(CONG (TRANS _let_726 (TRANS _let_727 _let_738 _let_940 _let_939 (CONG _let_638 (TRANS _let_752 _let_751 (SYMM (SYMM _let_1501))) :args _let_571))) _let_674 :args _let_571)) :args _let_571) (SYMM _let_1500) (CONG (SYMM _let_976) (TRANS (CONG _let_572 (TRANS (SYMM (SYMM _let_1499)) (CONG (TRANS (CONG _let_1011 (REFL :args (_let_116)) :args _let_571) (CONG _let_1009 (TRANS (CONG (TRANS (TRANS (SYMM (SYMM _let_1498)) (CONG (SYMM _let_1016) (TRANS (CONG (SYMM _let_1497) _let_572 :args _let_571) _let_621 _let_645 _let_635) :args _let_571) (SYMM _let_1496)) _let_1496) _let_572 :args _let_571) (SYMM _let_1495) (CONG _let_572 (TRANS _let_1056 _let_639 _let_586) :args _let_582) (SYMM (SYMM _let_1494)) _let_993 _let_991 _let_989 _let_963 _let_578 _let_977) :args _let_571) _let_980 _let_608 _let_667 _let_664 _let_657) _let_572 :args _let_582) _let_1029 _let_1005 _let_984 _let_983 _let_971 _let_1012 _let_1010 _let_980 _let_608 _let_667 _let_664 _let_657) :args _let_571) _let_1056 _let_1008 _let_1001 _let_999 _let_981 _let_650 _let_647 _let_644 _let_641 _let_584 _let_578 _let_977) :args _let_571) _let_980 _let_608 _let_667 _let_664 _let_657 _let_656) :args _let_590) (SYMM _let_668) _let_660) :args _let_571) (CONG (TRANS _let_1493 _let_1485 (TRANS _let_1334 _let_1484 _let_1481 _let_1438 _let_1322 _let_1475 _let_1474 _let_1430 _let_1472 _let_1471 _let_1470 (CONG _let_572 (TRANS _let_1450 _let_1453 _let_1452 _let_1420 _let_1386 _let_1361 _let_1384 _let_1410 (CONG (TRANS _let_1332 _let_1330 _let_1328 _let_1451 (SYMM _let_1447) _let_1446 (SYMM _let_1406) _let_1404 _let_1370 _let_1369 _let_1399) :args _let_590) (SYMM _let_1403)) :args _let_571) (CONG _let_572 (TRANS (CONG (SYMM _let_1401) _let_572 :args _let_571) (SYMM _let_1402)) :args _let_571) (CONG _let_572 (TRANS _let_1402 (CONG (TRANS _let_1401 (TRANS _let_1398 _let_1397 _let_1396 _let_1395 _let_1346 _let_1338)) _let_677 :args _let_571)) :args _let_571) (SYMM (SYMM _let_1321)) (CONG (REFL :args (_let_533)) (TRANS (CONG (TRANS (TRANS (CONG (TRANS _let_1264 _let_1261 (SYMM _let_1148)) (TRANS (SYMM _let_1320) (SYMM (SYMM _let_1319)) (CONG _let_1014 (REFL :args (_let_530)) :args _let_571) (CONG (TRANS _let_637 (TRANS _let_600 _let_621 _let_645 _let_635 _let_591 _let_706 (CONG _let_572 (TRANS _let_621 _let_645 _let_635 _let_920 (CONG (TRANS _let_915 _let_890 _let_888) (TRANS _let_917 _let_946 _let_943 _let_936 _let_860 _let_855 _let_851 _let_690 _let_688 _let_686 (SYMM _let_1318)) :args _let_571) (CONG (TRANS _let_892 _let_891 (SYMM _let_915) (SYMM _let_1306)) (TRANS _let_1318 (SYMM _let_723)) :args _let_571)) :args _let_571))) (TRANS (CONG (SYMM _let_1316) _let_677 :args _let_571) (CONG (TRANS _let_1316 (TRANS (SYMM (SYMM _let_1315)) (CONG (TRANS (TRANS (CONG _let_572 (TRANS (CONG (TRANS _let_1306 (SYMM _let_928)) (TRANS _let_759 (SYMM _let_884)) :args _let_571) _let_930 _let_931 _let_934) :args _let_571) _let_933 _let_863) _let_861) (TRANS (CONG (TRANS (TRANS (CONG (TRANS _let_726 _let_844 _let_843 _let_823 _let_842 _let_825) _let_1292 :args _let_571) _let_1210 _let_1190) _let_1209) _let_572 :args _let_571) _let_1217 _let_1216) :args _let_571) (CONG (TRANS _let_859 _let_1043) (TRANS _let_1213 (CONG (TRANS _let_1211 (SYMM (SYMM _let_1314))) _let_674 :args _let_571)) :args _let_571) (SYMM _let_1313)) (CONG _let_672 _let_1133 :args _let_571)) _let_674 :args _let_571) (SYMM _let_1312) (CONG _let_1221 _let_672 :args _let_582) (SYMM (SYMM _let_1311)) (CONG (SYMM _let_1293) _let_572 :args _let_571)) :args _let_571) (SYMM _let_1310) (SYMM _let_1309) _let_1307) :args _let_571) (SYMM _let_1289) _let_679) _let_1288) _let_572 :args _let_571) _let_1287 _let_1284 _let_1282 _let_702 _let_693 _let_692 _let_850 _let_1280 _let_1279 _let_1278 _let_1277 _let_945 _let_712 _let_709 (SYMM _let_1054) _let_1055) :args _let_571) (CONG (TRANS (TRANS (CONG _let_572 (TRANS (CONG (TRANS (CONG (REFL :args (_let_444)) (TRANS _let_591 _let_706 (CONG (TRANS _let_637 (TRANS _let_600 _let_621 _let_645 _let_635 (SYMM _let_1276) (CONG _let_1274 _let_1273 :args _let_571))) _let_674 :args _let_571)) :args _let_571) (SYMM _let_1265)) (TRANS (CONG (TRANS _let_1264 _let_1261 _let_1117) _let_677 :args _let_571) (SYMM _let_1150) (SYMM _let_1151)) :args _let_571) (SYMM _let_1259)) :args _let_571) (CONG _let_572 (TRANS _let_1259 _let_1258) :args _let_571) (CONG _let_572 (TRANS (SYMM _let_1258) (CONG (TRANS (TRANS (SYMM (SYMM _let_1257)) (CONG (TRANS (CONG _let_572 (TRANS (CONG (TRANS (TRANS _let_1232 _let_1151 _let_1150 _let_1120 _let_1119 _let_1254) (SYMM _let_1255)) _let_674 :args _let_571) (SYMM _let_1256)) :args _let_571) (CONG _let_572 (TRANS _let_1256 (CONG _let_1255 _let_572 :args _let_571)) :args _let_571) (TRANS (CONG _let_572 (TRANS (SYMM (SYMM _let_1253)) (CONG (TRANS _let_1252 _let_1235 _let_1234 _let_1231 _let_1230 _let_1228 _let_1227 _let_1225 _let_1087 _let_1086) :args _let_590) _let_1172 _let_1114 _let_1113 _let_1131 _let_1139 _let_1220 _let_1219 _let_1198) :args _let_571) _let_1200 _let_1167 _let_1142 _let_1090 _let_1084 _let_1081 _let_1059) (TRANS _let_1186 (SYMM _let_1215) (SYMM _let_1224) _let_1093) (SYMM _let_1249)) (TRANS (CONG (REFL :args (_let_460)) (TRANS _let_591 _let_706 (CONG (TRANS _let_637 (TRANS _let_600 _let_621 _let_645 _let_635 (SYMM (SYMM _let_1251)) (CONG (REFL :args (_let_313)) _let_1067 :args _let_571))) _let_674 :args _let_571)) :args _let_571) (SYMM _let_1250) _let_667 (SYMM _let_1245)) :args _let_571) (CONG (TRANS _let_1249 (TRANS _let_1092 _let_1224 _let_1215 _let_1187 _let_1058 (SYMM _let_1081) _let_1083 _let_1183 (SYMM _let_1142) (SYMM _let_1167) (SYMM _let_1200) (CONG _let_572 (TRANS _let_1199 _let_1196 _let_1193 _let_1145 _let_1132 _let_1111 _let_1109 _let_1107 (CONG (TRANS _let_1092 _let_1224 _let_1215 _let_1187 _let_1058 _let_1071 _let_1206 _let_1204 _let_1203 _let_1070 _let_1068) _let_606 :args _let_571)) :args _let_571))) (TRANS _let_1245 (CONG (TRANS _let_651 (TRANS _let_579 _let_583 _let_961 _let_643 _let_960 _let_649 _let_974 _let_1022 _let_1000 _let_1021 _let_1020 (CONG _let_572 (TRANS _let_671 _let_979 _let_666 _let_1057) :args _let_571))) _let_663 :args _let_571)) :args _let_571) (SYMM _let_1244) (SYMM _let_1243)) _let_1243) (TRANS (SYMM _let_1232) _let_1233 (SYMM _let_1237) _let_1239 _let_1122 _let_1240) :args _let_571) (CONG (REFL :args (_let_463)) (TRANS (SYMM _let_1240) (SYMM _let_1122) (SYMM _let_1239) _let_1237 (SYMM _let_1233) _let_1232 _let_1151 _let_1150 _let_1231 _let_1230 _let_1228 _let_1227 _let_1225 _let_1087 _let_1086 _let_1092 _let_1224 _let_1215 _let_1187 _let_1058 _let_1071 _let_1206 _let_1204 _let_1203 _let_1070 _let_1068) :args _let_571) (SYMM _let_1057) _let_667 _let_664 _let_657) :args _let_571) _let_1056 _let_1008 _let_1001 _let_999 _let_981 _let_650 _let_647 _let_644 _let_641 _let_584 _let_578) _let_1023) (TRANS (SYMM _let_1055) _let_1054 _let_889 _let_711 _let_946 _let_943 _let_936 _let_860 _let_855 _let_851 _let_690 _let_688 _let_686 _let_676) :args _let_571) (SYMM _let_1024) _let_1026 _let_1027 (SYMM _let_1053)) (TRANS _let_1053 (SYMM _let_1027)) (TRANS (SYMM _let_1026) _let_1024 (SYMM _let_673)) (CONG _let_572 (CONG _let_672 (TRANS _let_671 (SYMM _let_670) (CONG _let_646 (CONG _let_572 _let_640 :args _let_571) :args _let_582) (SYMM (SYMM _let_669)) (SYMM _let_580)) :args _let_571) :args _let_571)) (TRANS _let_661 _let_668 (SYMM _let_655) (CONG _let_654 _let_572 :args _let_571) (SYMM _let_652) (CONG _let_572 _let_651 :args _let_582) (SYMM (SYMM _let_581)) (CONG (TRANS _let_580 (CONG _let_578 (SYMM _let_574) :args _let_571)) _let_572 :args _let_571)) :args _let_571) (SYMM _let_570) (SYMM _let_569)) :args (_let_16 _let_241 _let_65 _let_70 _let_165 _let_98 _let_350 _let_47 _let_42 _let_102 _let_188 _let_169 _let_358 _let_357 _let_160 _let_94 _let_349 _let_332 _let_246 _let_110 _let_348 _let_115 _let_522 _let_255 _let_52 _let_382 _let_381 _let_187 _let_161 _let_107 _let_253 _let_334 _let_347 _let_251 _let_367 _let_333 _let_335 _let_51 _let_171 _let_354 _let_185 _let_167 _let_364 _let_393 _let_399 _let_175 _let_361 _let_190 _let_292 _let_498 _let_36 _let_13 _let_148 _let_243 _let_344 _let_92 _let_159 _let_366 _let_179 _let_434 _let_134 _let_433 _let_182 _let_60 _let_237 _let_88 _let_238 _let_277 _let_368 _let_141 _let_383 _let_301 _let_296 _let_398 _let_384 _let_244 _let_154 _let_203 _let_406 _let_411 _let_207 _let_458 _let_512 _let_181 _let_57 _let_329 _let_32 _let_67 _let_369 _let_441 _let_442 _let_76 _let_211 _let_492 _let_506 _let_315 _let_54 _let_180 _let_390 _let_359 _let_535 _let_541 _let_163 _let_502 _let_521 _let_487 _let_491 _let_356 _let_550 _let_465 _let_157 _let_34 _let_68 _let_472 _let_183 _let_19 _let_62 _let_325 _let_370 _let_280 _let_525 _let_519 _let_436 _let_376 _let_285 _let_438 _let_440 _let_290 _let_372 _let_417 _let_517 _let_85 _let_236 _let_511 _let_508 _let_232 _let_423 _let_484 _let_362 _let_177 _let_467 _let_424 _let_478 _let_482 _let_214 _let_412 _let_331 _let_79 _let_219 _let_339 _let_341 _let_343 _let_488 _let_490 _let_474 _let_480 _let_543 _let_552 _let_553 _let_28 _let_485 _let_497 _let_461 _let_314 _let_532 _let_547 _let_445 _let_151 _let_30 _let_66 _let_305 _let_539 _let_500 _let_379 _let_455 _let_451 _let_310 _let_338 _let_471 _let_503 _let_509 _let_377 _let_468 _let_469 _let_523 _let_397 _let_504 _let_531 _let_529 _let_534 _let_26 _let_265 _let_122 _let_50 _let_524 _let_129 _let_518 _let_428 _let_374 _let_270 _let_430 _let_432 _let_275 _let_371 _let_405 _let_495 _let_489 _let_73 _let_483 _let_360 _let_173 _let_466 _let_419 _let_475 _let_481 _let_320 _let_195 _let_401 _let_330 _let_486 _let_200 _let_516 _let_82 _let_230 _let_510 _let_507 _let_221 _let_418 _let_365 _let_340 _let_342 _let_337 _let_470 _let_345 _let_166 _let_352 _let_473 _let_479 _let_164 _let_346 _let_119 _let_257 _let_336 _let_426 _let_262 _let_308 _let_449 _let_513 _let_514 _let_226 _let_422 _let_493 _let_22))) :args (_let_13 _let_16 _let_19 _let_22 _let_26 _let_28 _let_30 _let_32 _let_34 _let_36 _let_42 _let_47 _let_50 _let_51 _let_52 _let_54 _let_57 _let_60 _let_62 _let_65 _let_66 _let_67 _let_68 _let_70 _let_73 _let_76 _let_79 _let_82 _let_85 _let_88 _let_92 _let_94 _let_98 _let_102 _let_107 _let_110 _let_115 _let_119 _let_122 _let_129 _let_134 _let_141 _let_148 _let_151 _let_154 _let_157 _let_159 _let_160 _let_161 _let_163 _let_164 _let_165 _let_166 _let_167 _let_169 _let_171 _let_173 _let_175 _let_177 _let_179 _let_180 _let_181 _let_182 _let_183 _let_185 _let_187 _let_188 _let_190 _let_195 _let_200 _let_203 _let_207 _let_211 _let_214 _let_219 _let_221 _let_226 _let_230 _let_232 _let_236 _let_237 _let_238 _let_241 _let_243 _let_244 _let_246 _let_251 _let_253 _let_255 _let_257 _let_262 _let_265 _let_270 _let_275 _let_277 _let_280 _let_285 _let_290 _let_292 _let_296 _let_301 _let_305 _let_308 _let_310 _let_314 _let_315 _let_320 _let_325 _let_329 _let_330 _let_331 _let_332 _let_333 _let_334 _let_335 _let_336 _let_337 _let_338 _let_339 _let_340 _let_341 _let_342 _let_343 _let_344 _let_345 _let_346 _let_347 _let_348 _let_349 _let_350 _let_352 _let_354 _let_356 _let_357 _let_358 _let_359 _let_360 _let_361 _let_362 _let_364 _let_365 _let_366 _let_367 _let_368 _let_369 _let_370 _let_371 _let_372 _let_374 _let_376 _let_377 _let_379 _let_381 _let_382 _let_383 _let_384 _let_390 _let_393 _let_397 _let_398 _let_399 _let_401 _let_405 _let_406 _let_411 _let_412 _let_417 _let_418 _let_419 _let_422 _let_423 _let_424 _let_426 _let_428 _let_430 _let_432 _let_433 _let_434 _let_436 _let_438 _let_440 _let_441 _let_442 _let_445 _let_449 _let_451 _let_455 _let_458 _let_461 _let_465 _let_466 _let_467 _let_468 _let_469 _let_470 _let_471 _let_472 _let_473 _let_474 _let_475 _let_478 _let_479 _let_480 _let_481 _let_482 _let_483 _let_484 _let_485 _let_486 _let_487 _let_488 _let_489 _let_490 _let_491 _let_492 _let_493 _let_495 _let_497 _let_498 _let_500 _let_502 _let_503 _let_504 _let_506 _let_507 _let_508 _let_509 _let_510 _let_511 _let_512 _let_513 _let_514 _let_516 _let_517 _let_518 _let_519 _let_521 _let_522 _let_523 _let_524 _let_525 _let_529 _let_531 _let_532 _let_534 _let_535 _let_539 _let_541 _let_543 _let_547 _let_550 _let_552 _let_553))) :args (true _let_568)) :args ((or _let_5 (not _let_13) (not _let_16) (not _let_19) (not _let_22) (not _let_26) (not _let_28) (not _let_30) (not _let_32) (not _let_34) (not _let_36) (not _let_42) (not _let_47) (not _let_50) (not _let_51) (not _let_52) (not _let_54) (not _let_57) (not _let_60) (not _let_62) (not _let_65) (not _let_66) (not _let_67) (not _let_68) (not _let_70) (not _let_73) (not _let_76) (not _let_79) (not _let_82) (not _let_85) (not _let_88) (not _let_92) (not _let_94) (not _let_98) (not _let_102) (not _let_107) (not _let_110) (not _let_115) (not _let_119) (not _let_122) (not _let_129) (not _let_134) (not _let_141) (not _let_148) (not _let_151) (not _let_154) (not _let_157) (not _let_159) (not _let_160) (not _let_161) (not _let_163) (not _let_164) (not _let_165) (not _let_166) (not _let_167) (not _let_169) (not 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(not _let_343) (not _let_344) (not _let_345) (not _let_346) (not _let_347) (not _let_348) (not _let_349) (not _let_350) (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_362) (not _let_364) (not _let_365) (not _let_366) (not _let_367) (not _let_368) (not _let_369) (not _let_370) (not _let_371) (not _let_372) (not _let_374) (not _let_376) (not _let_377) (not _let_379) (not _let_381) (not _let_382) (not _let_383) (not _let_384) (not _let_390) (not _let_393) (not _let_397) (not _let_398) (not _let_399) (not _let_401) (not _let_405) (not _let_406) (not _let_411) (not _let_412) (not _let_417) (not _let_418) (not _let_419) (not _let_422) (not _let_423) (not _let_424) (not _let_426) (not _let_428) (not _let_430) (not _let_432) (not _let_433) (not _let_434) (not _let_436) (not _let_438) (not _let_440) (not _let_441) (not _let_442) (not _let_445) (not _let_449) (not _let_451) (not _let_455) (not _let_458) (not 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_462 tptp.identity _let_463 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_553 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.identity _let_548 _let_551 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_552 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_545 tptp.identity _let_355 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_550 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.identity _let_546 _let_544 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_547 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_542 tptp.identity _let_435 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_543 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_38 _let_520 _let_386 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_541 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_536 _let_538 _let_537 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_539 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_248 tptp.identity _let_386 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_535 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_526 _let_1 _let_527 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_534 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_459 tptp.identity tptp.b3 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_532 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_38 tptp.identity tptp.a3 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_531 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_443 tptp.identity tptp.a3 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_529 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.identity _let_415 _let_413 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_525 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.identity _let_403 _let_402 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_524 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.identity _let_395 _let_394 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_523 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:args (_let_517 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.identity _let_178 _let_123 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_516 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_446 tptp.identity _let_447 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_514 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_446 _let_304 _let_447 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_513 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_407 tptp.identity _let_409 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_512 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_233 tptp.identity _let_234 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_511 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_227 tptp.identity _let_228 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_510 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_452 _let_63 _let_453 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_509 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_233 _let_18 _let_234 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_508 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_227 _let_12 _let_228 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_507 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_386 _let_105 _let_388 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_506 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_452 _let_35 _let_453 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_504 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_452 _let_17 _let_453 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_503 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_566 :args (_let_142 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_567)) :args _let_565)) _let_566 :args (_let_502 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_563 :args (_let_499 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_562))) _let_563 :args (_let_500 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_563 :args (_let_145 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_562))) _let_563 :args (_let_498 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_563 :args (_let_496 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_562))) _let_563 :args (_let_497 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_563 :args (_let_494 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_562))) _let_563 :args (_let_495 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_563 :args (_let_81 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_562))) _let_563 :args (_let_493 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_563 :args (_let_74 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_562))) _let_563 :args (_let_492 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_555 :args (_let_297 _let_299 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(IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_555 :args (_let_317 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_561)) :args _let_554))) _let_555 :args (_let_481 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_555 :args (_let_282 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_561)) :args _let_554))) _let_555 :args (_let_480 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_555 :args (_let_267 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_561)) :args _let_554))) _let_555 :args (_let_479 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_555 :args (_let_476 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_561)) :args _let_554))) _let_555 :args (_let_478 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_555 :args (_let_223 tptp.identity 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_let_558 :args (tptp.b3 tptp.identity tptp.c3 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_465 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.b3 _let_313 tptp.c3 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_461 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (_let_178 _let_155 _let_59 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_458 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.a3 tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_455 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.a3 _let_205 _let_1 QUANTIFIERS_INST_E_MATCHING _let_560)) :args _let_559)) _let_558 :args (_let_451 false _let_557)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE 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% 1.75/1.94  )
% 1.75/1.95  % SZS output end Proof for GRP498-1
% 1.75/1.95  % cvc5---1.0.5 exiting
% 1.75/1.95  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------