TSTP Solution File: GRP571-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP571-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 00:26:28 EDT 2023
% Result : Unsatisfiable 2.47s 2.69s
% Output : Proof 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP571-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 21:12:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.19/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.DJjFYcKd8A/cvc5---1.0.5_22802.p...
% 0.19/0.50 ------- get file name : TPTP file name is GRP571-1
% 0.19/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22802.smt2...
% 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.47/2.69 % SZS status Unsatisfiable for GRP571-1
% 2.47/2.69 % SZS output start Proof for GRP571-1
% 2.54/2.78 (
% 2.54/2.78 (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 A (tptp.double_divide (tptp.double_divide B (tptp.double_divide A C)) (tptp.double_divide C tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) B)))) (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.identity tptp.identity))) (let ((_let_24 (tptp.double_divide tptp.c3 _let_12))) (let ((_let_25 (tptp.double_divide _let_24 _let_23))) (let ((_let_26 (tptp.double_divide _let_11 _let_25))) (let ((_let_27 (tptp.double_divide _let_26 _let_23))) (let ((_let_28 (= tptp.c3 _let_27))) (let ((_let_29 (tptp.double_divide _let_18 tptp.identity))) (let ((_let_30 (= (tptp.multiply tptp.identity _let_17) _let_29))) (let ((_let_31 (tptp.double_divide _let_21 tptp.identity))) (let ((_let_32 (= (tptp.multiply tptp.identity _let_20) _let_31))) (let ((_let_33 (tptp.inverse _let_11))) (let ((_let_34 (= _let_12 _let_33))) (let ((_let_35 (tptp.inverse _let_14))) (let ((_let_36 (= _let_15 _let_35))) (let ((_let_37 (tptp.inverse _let_17))) (let ((_let_38 (= _let_18 _let_37))) (let ((_let_39 (tptp.inverse _let_20))) (let ((_let_40 (= _let_21 _let_39))) (let ((_let_41 (tptp.double_divide _let_25 _let_23))) (let ((_let_42 (tptp.double_divide tptp.identity _let_41))) (let ((_let_43 (tptp.double_divide _let_42 _let_23))) (let ((_let_44 (= _let_24 _let_43))) (let ((_let_45 (tptp.double_divide _let_23 tptp.identity))) (let ((_let_46 (tptp.double_divide _let_26 _let_45))) (let ((_let_47 (tptp.double_divide _let_24 _let_46))) (let ((_let_48 (tptp.double_divide _let_47 _let_23))) (let ((_let_49 (= _let_11 _let_48))) (let ((_let_50 (tptp.double_divide _let_27 _let_23))) (let ((_let_51 (tptp.double_divide tptp.identity _let_50))) (let ((_let_52 (tptp.double_divide _let_51 _let_23))) (let ((_let_53 (= _let_26 _let_52))) (let ((_let_54 (= _let_45 (tptp.multiply tptp.identity tptp.identity)))) (let ((_let_55 (tptp.double_divide _let_12 tptp.identity))) (let ((_let_56 (= (tptp.multiply tptp.identity _let_12) (tptp.double_divide _let_55 tptp.identity)))) (let ((_let_57 (= (tptp.multiply tptp.identity _let_21) (tptp.double_divide _let_31 tptp.identity)))) (let ((_let_58 (tptp.double_divide _let_25 tptp.identity))) (let ((_let_59 (= (tptp.multiply _let_23 _let_24) _let_58))) (let ((_let_60 (tptp.double_divide _let_27 tptp.identity))) (let ((_let_61 (= (tptp.multiply _let_23 _let_26) _let_60))) (let ((_let_62 (tptp.inverse tptp.identity))) (let ((_let_63 (= _let_23 _let_62))) (let ((_let_64 (tptp.inverse _let_21))) (let ((_let_65 (= _let_31 _let_64))) (let ((_let_66 (tptp.inverse _let_18))) (let ((_let_67 (= _let_29 _let_66))) (let ((_let_68 (tptp.inverse _let_15))) (let ((_let_69 (tptp.double_divide _let_15 tptp.identity))) (let ((_let_70 (= _let_69 _let_68))) (let ((_let_71 (= tptp.identity (tptp.double_divide _let_11 _let_33)))) (let ((_let_72 (= tptp.identity (tptp.double_divide _let_14 _let_35)))) (let ((_let_73 (= tptp.identity (tptp.double_divide _let_17 _let_37)))) (let ((_let_74 (tptp.double_divide _let_20 _let_39))) (let ((_let_75 (= tptp.identity _let_74))) (let ((_let_76 (tptp.double_divide _let_39 tptp.identity))) (let ((_let_77 (tptp.double_divide _let_11 _let_74))) (let ((_let_78 (tptp.double_divide _let_77 _let_76))) (let ((_let_79 (tptp.double_divide _let_20 _let_78))) (let ((_let_80 (tptp.double_divide _let_79 _let_23))) (let ((_let_81 (= _let_11 _let_80))) (let ((_let_82 (tptp.double_divide _let_14 _let_74))) (let ((_let_83 (tptp.double_divide _let_82 _let_76))) (let ((_let_84 (tptp.double_divide _let_20 _let_83))) (let ((_let_85 (tptp.double_divide _let_84 _let_23))) (let ((_let_86 (= _let_14 _let_85))) (let ((_let_87 (tptp.double_divide _let_17 _let_74))) (let ((_let_88 (tptp.double_divide _let_20 (tptp.double_divide _let_87 _let_76)))) (let ((_let_89 (tptp.double_divide _let_88 _let_23))) (let ((_let_90 (= _let_17 _let_89))) (let ((_let_91 (tptp.double_divide _let_20 _let_74))) (let ((_let_92 (tptp.double_divide _let_20 (tptp.double_divide _let_91 _let_76)))) (let ((_let_93 (tptp.double_divide _let_92 _let_23))) (let ((_let_94 (= _let_20 _let_93))) (let ((_let_95 (= tptp.identity (tptp.double_divide (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide tptp.identity _let_74) _let_76)) _let_23)))) (let ((_let_96 (tptp.double_divide _let_12 _let_74))) (let ((_let_97 (tptp.double_divide _let_96 _let_76))) (let ((_let_98 (tptp.double_divide _let_20 _let_97))) (let ((_let_99 (tptp.double_divide _let_98 _let_23))) (let ((_let_100 (= _let_12 _let_99))) (let ((_let_101 (tptp.double_divide _let_15 _let_74))) (let ((_let_102 (tptp.double_divide _let_20 (tptp.double_divide _let_101 _let_76)))) (let ((_let_103 (tptp.double_divide _let_102 _let_23))) (let ((_let_104 (= _let_15 _let_103))) (let ((_let_105 (tptp.double_divide _let_18 _let_74))) (let ((_let_106 (tptp.double_divide _let_20 (tptp.double_divide _let_105 _let_76)))) (let ((_let_107 (= _let_18 (tptp.double_divide _let_106 _let_23)))) (let ((_let_108 (tptp.double_divide _let_21 _let_74))) (let ((_let_109 (tptp.double_divide _let_108 _let_76))) (let ((_let_110 (tptp.double_divide _let_20 _let_109))) (let ((_let_111 (tptp.double_divide _let_110 _let_23))) (let ((_let_112 (= _let_21 _let_111))) (let ((_let_113 (tptp.double_divide tptp.identity (tptp.double_divide _let_41 _let_23)))) (let ((_let_114 (tptp.double_divide _let_113 _let_23))) (let ((_let_115 (= _let_25 _let_114))) (let ((_let_116 (tptp.double_divide tptp.identity (tptp.double_divide _let_43 _let_23)))) (let ((_let_117 (tptp.double_divide _let_116 _let_23))) (let ((_let_118 (= _let_42 _let_117))) (let ((_let_119 (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide _let_23 _let_74) _let_76)))) (let ((_let_120 (tptp.double_divide _let_119 _let_23))) (let ((_let_121 (= _let_23 _let_120))) (let ((_let_122 (tptp.double_divide _let_46 _let_23))) (let ((_let_123 (tptp.double_divide _let_23 _let_122))) (let ((_let_124 (tptp.double_divide _let_123 _let_23))) (let ((_let_125 (= _let_26 _let_124))) (let ((_let_126 (tptp.double_divide _let_45 tptp.identity))) (let ((_let_127 (tptp.double_divide _let_47 _let_126))) (let ((_let_128 (tptp.double_divide _let_26 _let_127))) (let ((_let_129 (tptp.double_divide _let_128 _let_23))) (let ((_let_130 (= _let_24 _let_129))) (let ((_let_131 (tptp.double_divide _let_48 _let_23))) (let ((_let_132 (tptp.double_divide tptp.identity _let_131))) (let ((_let_133 (tptp.double_divide _let_132 _let_23))) (let ((_let_134 (= _let_47 _let_133))) (let ((_let_135 (tptp.double_divide _let_50 _let_23))) (let ((_let_136 (tptp.double_divide tptp.identity _let_135))) (let ((_let_137 (tptp.double_divide _let_136 _let_23))) (let ((_let_138 (= _let_27 _let_137))) (let ((_let_139 (tptp.double_divide _let_27 (tptp.double_divide _let_51 _let_45)))) (let ((_let_140 (tptp.double_divide _let_139 _let_23))) (let ((_let_141 (= tptp.identity _let_140))) (let ((_let_142 (tptp.double_divide _let_52 _let_23))) (let ((_let_143 (tptp.double_divide tptp.identity _let_142))) (let ((_let_144 (= _let_51 (tptp.double_divide _let_143 _let_23)))) (let ((_let_145 (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide _let_31 _let_74) _let_76)))) (let ((_let_146 (tptp.double_divide _let_145 _let_23))) (let ((_let_147 (= _let_31 _let_146))) (let ((_let_148 (tptp.double_divide _let_29 _let_74))) (let ((_let_149 (tptp.double_divide _let_20 (tptp.double_divide _let_148 _let_76)))) (let ((_let_150 (tptp.double_divide _let_149 _let_23))) (let ((_let_151 (= _let_29 _let_150))) (let ((_let_152 (tptp.double_divide _let_26 _let_74))) (let ((_let_153 (tptp.double_divide _let_20 (tptp.double_divide _let_152 _let_76)))) (let ((_let_154 (tptp.double_divide _let_153 _let_23))) (let ((_let_155 (= _let_26 _let_154))) (let ((_let_156 (tptp.double_divide _let_25 _let_74))) (let ((_let_157 (= _let_25 (tptp.double_divide (tptp.double_divide _let_20 (tptp.double_divide _let_156 _let_76)) _let_23)))) (let ((_let_158 (tptp.double_divide _let_27 _let_74))) (let ((_let_159 (tptp.double_divide _let_20 (tptp.double_divide _let_158 _let_76)))) (let ((_let_160 (tptp.double_divide _let_159 _let_23))) (let ((_let_161 (= _let_27 _let_160))) (let ((_let_162 (tptp.double_divide _let_11 _let_12))) (let ((_let_163 (tptp.double_divide _let_162 _let_23))) (let ((_let_164 (= _let_11 (tptp.double_divide (tptp.double_divide _let_11 _let_163) _let_23)))) (let ((_let_165 (tptp.double_divide _let_14 (tptp.double_divide (tptp.double_divide _let_14 _let_15) _let_23)))) (let ((_let_166 (tptp.double_divide _let_165 _let_23))) (let ((_let_167 (= _let_14 _let_166))) (let ((_let_168 (tptp.double_divide _let_17 (tptp.double_divide (tptp.double_divide _let_17 _let_18) _let_23)))) (let ((_let_169 (tptp.double_divide _let_168 _let_23))) (let ((_let_170 (= _let_17 _let_169))) (let ((_let_171 (= _let_20 (tptp.double_divide (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide _let_20 _let_21) _let_23)) _let_23)))) (let ((_let_172 (= _let_126 (tptp.multiply tptp.identity _let_23)))) (let ((_let_173 (= (tptp.multiply tptp.identity _let_27) (tptp.double_divide _let_60 tptp.identity)))) (let ((_let_174 (tptp.double_divide _let_50 tptp.identity))) (let ((_let_175 (= (tptp.multiply _let_23 _let_27) _let_174))) (let ((_let_176 (tptp.double_divide _let_58 tptp.identity))) (let ((_let_177 (= (tptp.multiply tptp.identity _let_25) _let_176))) (let ((_let_178 (= (tptp.multiply _let_23 _let_25) (tptp.double_divide _let_41 tptp.identity)))) (let ((_let_179 (= (tptp.multiply _let_45 _let_26) (tptp.double_divide _let_46 tptp.identity)))) (let ((_let_180 (tptp.double_divide _let_29 tptp.identity))) (let ((_let_181 (= (tptp.multiply tptp.identity _let_29) (tptp.double_divide _let_180 tptp.identity)))) (let ((_let_182 (= (tptp.multiply _let_23 _let_42) (tptp.double_divide _let_43 tptp.identity)))) (let ((_let_183 (= (tptp.multiply _let_23 _let_47) (tptp.double_divide _let_48 tptp.identity)))) (let ((_let_184 (tptp.inverse _let_27))) (let ((_let_185 (= _let_60 _let_184))) (let ((_let_186 (tptp.inverse _let_26))) (let ((_let_187 (= (tptp.double_divide _let_26 tptp.identity) _let_186))) (let ((_let_188 (= (tptp.double_divide _let_69 tptp.identity) (tptp.inverse _let_69)))) (let ((_let_189 (= _let_180 (tptp.inverse _let_29)))) (let ((_let_190 (= tptp.identity (tptp.double_divide tptp.identity _let_62)))) (let ((_let_191 (= tptp.identity (tptp.double_divide _let_21 _let_64)))) (let ((_let_192 (= tptp.identity (tptp.double_divide _let_18 _let_66)))) (let ((_let_193 (tptp.double_divide _let_15 _let_68))) (let ((_let_194 (= tptp.identity _let_193))) (let ((_let_195 (tptp.double_divide _let_68 tptp.identity))) (let ((_let_196 (= _let_14 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_14 _let_193) _let_195)) _let_23)))) (let ((_let_197 (tptp.double_divide tptp.identity _let_193))) (let ((_let_198 (tptp.double_divide _let_15 (tptp.double_divide _let_197 _let_195)))) (let ((_let_199 (= tptp.identity (tptp.double_divide _let_198 _let_23)))) (let ((_let_200 (= _let_12 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_12 _let_193) _let_195)) _let_23)))) (let ((_let_201 (tptp.double_divide _let_18 _let_193))) (let ((_let_202 (tptp.double_divide _let_201 _let_195))) (let ((_let_203 (tptp.double_divide _let_15 _let_202))) (let ((_let_204 (= _let_18 (tptp.double_divide _let_203 _let_23)))) (let ((_let_205 (= _let_55 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_55 _let_193) _let_195)) _let_23)))) (let ((_let_206 (= _let_31 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_31 _let_193) _let_195)) _let_23)))) (let ((_let_207 (= _let_29 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_29 _let_193) _let_195)) _let_23)))) (let ((_let_208 (= _let_69 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_69 _let_193) _let_195)) _let_23)))) (let ((_let_209 (= _let_79 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_80 _let_23)) _let_23)))) (let ((_let_210 (tptp.double_divide tptp.identity (tptp.double_divide _let_85 _let_23)))) (let ((_let_211 (= _let_84 (tptp.double_divide _let_210 _let_23)))) (let ((_let_212 (tptp.double_divide tptp.identity (tptp.double_divide _let_89 _let_23)))) (let ((_let_213 (= _let_88 (tptp.double_divide _let_212 _let_23)))) (let ((_let_214 (= _let_92 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_93 _let_23)) _let_23)))) (let ((_let_215 (tptp.double_divide _let_99 _let_23))) (let ((_let_216 (tptp.double_divide tptp.identity _let_215))) (let ((_let_217 (= _let_98 (tptp.double_divide _let_216 _let_23)))) (let ((_let_218 (tptp.double_divide (tptp.double_divide _let_101 _let_146) _let_45))) (let ((_let_219 (tptp.double_divide _let_145 _let_218))) (let ((_let_220 (= _let_101 (tptp.double_divide _let_219 _let_23)))) (let ((_let_221 (tptp.double_divide _let_76 tptp.identity))) (let ((_let_222 (tptp.double_divide _let_102 _let_221))) (let ((_let_223 (tptp.double_divide _let_101 _let_222))) (let ((_let_224 (= _let_20 (tptp.double_divide _let_223 _let_23)))) (let ((_let_225 (tptp.double_divide _let_103 _let_23))) (let ((_let_226 (tptp.double_divide tptp.identity _let_225))) (let ((_let_227 (= _let_102 (tptp.double_divide _let_226 _let_23)))) (let ((_let_228 (= _let_110 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_111 _let_23)) _let_23)))) (let ((_let_229 (= _let_113 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_114 _let_23)) _let_23)))) (let ((_let_230 (= _let_116 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_117 _let_23)) _let_23)))) (let ((_let_231 (= _let_119 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_120 _let_23)) _let_23)))) (let ((_let_232 (= _let_123 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_124 _let_23)) _let_23)))) (let ((_let_233 (tptp.double_divide _let_126 tptp.identity))) (let ((_let_234 (= _let_26 (tptp.double_divide (tptp.double_divide _let_47 (tptp.double_divide _let_128 _let_233)) _let_23)))) (let ((_let_235 (= _let_128 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_129 _let_23)) _let_23)))) (let ((_let_236 (= _let_48 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_131 _let_23)) _let_23)))) (let ((_let_237 (= _let_132 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_133 _let_23)) _let_23)))) (let ((_let_238 (tptp.double_divide tptp.identity (tptp.double_divide _let_135 _let_23)))) (let ((_let_239 (= _let_50 (tptp.double_divide _let_238 _let_23)))) (let ((_let_240 (= _let_136 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_137 _let_23)) _let_23)))) (let ((_let_241 (= _let_139 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_140 _let_23)) _let_23)))) (let ((_let_242 (= tptp.identity (tptp.double_divide (tptp.double_divide _let_159 (tptp.double_divide (tptp.double_divide tptp.identity _let_160) _let_45)) _let_23)))) (let ((_let_243 (= _let_145 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_146 _let_23)) _let_23)))) (let ((_let_244 (= _let_148 (tptp.double_divide (tptp.double_divide _let_145 (tptp.double_divide (tptp.double_divide _let_148 _let_146) _let_45)) _let_23)))) (let ((_let_245 (= _let_149 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_150 _let_23)) _let_23)))) (let ((_let_246 (tptp.double_divide _let_69 _let_74))) (let ((_let_247 (= _let_246 (tptp.double_divide (tptp.double_divide _let_145 (tptp.double_divide (tptp.double_divide _let_246 _let_146) _let_45)) _let_23)))) (let ((_let_248 (tptp.double_divide _let_152 _let_146))) (let ((_let_249 (tptp.double_divide _let_145 (tptp.double_divide _let_248 _let_45)))) (let ((_let_250 (= _let_152 (tptp.double_divide _let_249 _let_23)))) (let ((_let_251 (= _let_153 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_154 _let_23)) _let_23)))) (let ((_let_252 (= _let_156 (tptp.double_divide (tptp.double_divide _let_145 (tptp.double_divide (tptp.double_divide _let_156 _let_146) _let_45)) _let_23)))) (let ((_let_253 (tptp.double_divide _let_158 _let_146))) (let ((_let_254 (tptp.double_divide _let_253 _let_45))) (let ((_let_255 (tptp.double_divide _let_145 _let_254))) (let ((_let_256 (= _let_158 (tptp.double_divide _let_255 _let_23)))) (let ((_let_257 (tptp.double_divide _let_158 (tptp.double_divide _let_159 _let_221)))) (let ((_let_258 (= _let_20 (tptp.double_divide _let_257 _let_23)))) (let ((_let_259 (= _let_159 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_160 _let_23)) _let_23)))) (let ((_let_260 (= _let_162 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_163 _let_23)) _let_23)))) (let ((_let_261 (= _let_165 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_166 _let_23)) _let_23)))) (let ((_let_262 (= _let_168 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_169 _let_23)) _let_23)))) (let ((_let_263 (= (tptp.multiply _let_142 tptp.identity) (tptp.double_divide _let_143 tptp.identity)))) (let ((_let_264 (= (tptp.multiply _let_135 tptp.identity) (tptp.double_divide _let_136 tptp.identity)))) (let ((_let_265 (= _let_174 (tptp.inverse _let_50)))) (let ((_let_266 (= tptp.identity (tptp.double_divide _let_27 _let_184)))) (let ((_let_267 (tptp.double_divide _let_26 _let_186))) (let ((_let_268 (= tptp.identity _let_267))) (let ((_let_269 (tptp.double_divide _let_186 tptp.identity))) (let ((_let_270 (= _let_11 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_11 _let_267) _let_269)) _let_23)))) (let ((_let_271 (= _let_14 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_14 _let_267) _let_269)) _let_23)))) (let ((_let_272 (tptp.double_divide _let_17 _let_267))) (let ((_let_273 (tptp.double_divide _let_272 _let_269))) (let ((_let_274 (tptp.double_divide _let_26 _let_273))) (let ((_let_275 (= _let_17 (tptp.double_divide _let_274 _let_23)))) (let ((_let_276 (tptp.double_divide tptp.c3 _let_79))) (let ((_let_277 (tptp.double_divide _let_276 (tptp.double_divide _let_78 tptp.identity)))) (let ((_let_278 (tptp.double_divide _let_20 _let_277))) (let ((_let_279 (= tptp.c3 (tptp.double_divide _let_278 _let_23)))) (let ((_let_280 (= _let_26 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_26 _let_267) _let_269)) _let_23)))) (let ((_let_281 (= _let_12 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_12 _let_267) _let_269)) _let_23)))) (let ((_let_282 (= _let_15 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_15 _let_267) _let_269)) _let_23)))) (let ((_let_283 (= _let_18 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_18 _let_267) _let_269)) _let_23)))) (let ((_let_284 (= _let_21 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_21 _let_267) _let_269)) _let_23)))) (let ((_let_285 (= _let_27 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_27 _let_267) _let_269)) _let_23)))) (let ((_let_286 (tptp.double_divide _let_109 tptp.identity))) (let ((_let_287 (tptp.double_divide _let_82 _let_110))) (let ((_let_288 (tptp.double_divide _let_20 (tptp.double_divide _let_287 _let_286)))) (let ((_let_289 (= _let_82 (tptp.double_divide _let_288 _let_23)))) (let ((_let_290 (tptp.double_divide _let_87 _let_110))) (let ((_let_291 (tptp.double_divide _let_20 (tptp.double_divide _let_290 _let_286)))) (let ((_let_292 (= _let_87 (tptp.double_divide _let_291 _let_23)))) (let ((_let_293 (= _let_102 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_102 _let_267) _let_269)) _let_23)))) (let ((_let_294 (= _let_106 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_106 _let_267) _let_269)) _let_23)))) (let ((_let_295 (tptp.double_divide _let_108 _let_110))) (let ((_let_296 (tptp.double_divide _let_20 (tptp.double_divide _let_295 _let_286)))) (let ((_let_297 (= _let_108 (tptp.double_divide _let_296 _let_23)))) (let ((_let_298 (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide _let_26 _let_98) (tptp.double_divide _let_97 tptp.identity))))) (let ((_let_299 (= _let_26 (tptp.double_divide _let_298 _let_23)))) (let ((_let_300 (tptp.double_divide _let_158 _let_110))) (let ((_let_301 (tptp.double_divide _let_300 _let_286))) (let ((_let_302 (tptp.double_divide _let_20 _let_301))) (let ((_let_303 (= _let_158 (tptp.double_divide _let_302 _let_23)))) (let ((_let_304 (tptp.double_divide tptp.b3 tptp.identity))) (let ((_let_305 (tptp.double_divide _let_18 _let_17))) (let ((_let_306 (tptp.double_divide _let_305 _let_304))) (let ((_let_307 (tptp.double_divide tptp.c3 _let_306))) (let ((_let_308 (= _let_18 (tptp.double_divide _let_307 _let_23)))) (let ((_let_309 (tptp.double_divide _let_17 _let_193))) (let ((_let_310 (tptp.double_divide _let_15 (tptp.double_divide _let_309 _let_195)))) (let ((_let_311 (tptp.double_divide _let_309 (tptp.double_divide _let_310 (tptp.double_divide _let_195 tptp.identity))))) (let ((_let_312 (= _let_15 (tptp.double_divide _let_311 _let_23)))) (let ((_let_313 (= _let_310 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_310 _let_267) _let_269)) _let_23)))) (let ((_let_314 (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_20 _let_193) _let_195)))) (let ((_let_315 (= _let_314 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_314 _let_267) _let_269)) _let_23)))) (let ((_let_316 (tptp.double_divide _let_83 tptp.identity))) (let ((_let_317 (tptp.double_divide _let_197 _let_84))) (let ((_let_318 (tptp.double_divide _let_20 (tptp.double_divide _let_317 _let_316)))) (let ((_let_319 (= _let_197 (tptp.double_divide _let_318 _let_23)))) (let ((_let_320 (tptp.double_divide _let_201 _let_84))) (let ((_let_321 (tptp.double_divide _let_20 (tptp.double_divide _let_320 _let_316)))) (let ((_let_322 (= _let_201 (tptp.double_divide _let_321 _let_23)))) (let ((_let_323 (= _let_203 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_203 _let_267) _let_269)) _let_23)))) (let ((_let_324 (tptp.double_divide _let_21 _let_193))) (let ((_let_325 (tptp.double_divide _let_324 _let_84))) (let ((_let_326 (tptp.double_divide _let_325 _let_316))) (let ((_let_327 (tptp.double_divide _let_20 _let_326))) (let ((_let_328 (= _let_324 (tptp.double_divide _let_327 _let_23)))) (let ((_let_329 (tptp.double_divide _let_82 _let_146))) (let ((_let_330 (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_329 _let_267) _let_269)))) (let ((_let_331 (tptp.double_divide _let_330 _let_23))) (let ((_let_332 (= _let_329 _let_331))) (let ((_let_333 (tptp.double_divide _let_329 _let_45))) (let ((_let_334 (tptp.double_divide _let_145 _let_333))) (let ((_let_335 (= _let_334 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_334 _let_267) _let_269)) _let_23)))) (let ((_let_336 (= _let_210 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_210 _let_267) _let_269)) _let_23)))) (let ((_let_337 (tptp.double_divide _let_87 _let_146))) (let ((_let_338 (tptp.double_divide _let_337 _let_267))) (let ((_let_339 (tptp.double_divide _let_26 (tptp.double_divide _let_338 _let_269)))) (let ((_let_340 (tptp.double_divide _let_339 _let_23))) (let ((_let_341 (= _let_337 _let_340))) (let ((_let_342 (tptp.double_divide _let_337 _let_45))) (let ((_let_343 (tptp.double_divide (tptp.double_divide _let_145 _let_342) _let_126))) (let ((_let_344 (tptp.double_divide _let_337 _let_343))) (let ((_let_345 (= _let_145 (tptp.double_divide _let_344 _let_23)))) (let ((_let_346 (tptp.double_divide _let_127 tptp.identity))) (let ((_let_347 (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_88 _let_128) _let_346)))) (let ((_let_348 (= _let_88 (tptp.double_divide _let_347 _let_23)))) (let ((_let_349 (= _let_212 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_212 _let_267) _let_269)) _let_23)))) (let ((_let_350 (= _let_216 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_216 _let_267) _let_269)) _let_23)))) (let ((_let_351 (tptp.double_divide _let_102 _let_128))) (let ((_let_352 (tptp.double_divide _let_26 (tptp.double_divide _let_351 _let_346)))) (let ((_let_353 (tptp.double_divide _let_352 _let_23))) (let ((_let_354 (= _let_102 _let_353))) (let ((_let_355 (= _let_223 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_223 _let_267) _let_269)) _let_23)))) (let ((_let_356 (= _let_226 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_226 _let_267) _let_269)) _let_23)))) (let ((_let_357 (tptp.double_divide _let_106 _let_128))) (let ((_let_358 (tptp.double_divide _let_357 _let_346))) (let ((_let_359 (tptp.double_divide _let_26 _let_358))) (let ((_let_360 (= _let_106 (tptp.double_divide _let_359 _let_23)))) (let ((_let_361 (tptp.double_divide _let_108 _let_146))) (let ((_let_362 (tptp.double_divide _let_361 _let_267))) (let ((_let_363 (tptp.double_divide _let_26 (tptp.double_divide _let_362 _let_269)))) (let ((_let_364 (= _let_361 (tptp.double_divide _let_363 _let_23)))) (let ((_let_365 (tptp.double_divide _let_361 _let_45))) (let ((_let_366 (tptp.double_divide _let_145 _let_365))) (let ((_let_367 (= _let_366 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_366 _let_267) _let_269)) _let_23)))) (let ((_let_368 (tptp.double_divide _let_11 (tptp.double_divide (tptp.double_divide tptp.identity _let_26) _let_58)))) (let ((_let_369 (tptp.double_divide _let_368 _let_23))) (let ((_let_370 (= tptp.identity _let_369))) (let ((_let_371 (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_248 _let_267) _let_269)))) (let ((_let_372 (tptp.double_divide _let_371 _let_23))) (let ((_let_373 (= _let_248 _let_372))) (let ((_let_374 (tptp.double_divide _let_248 (tptp.double_divide _let_249 _let_126)))) (let ((_let_375 (= _let_145 (tptp.double_divide _let_374 _let_23)))) (let ((_let_376 (tptp.double_divide _let_153 _let_128))) (let ((_let_377 (tptp.double_divide _let_26 (tptp.double_divide _let_376 _let_346)))) (let ((_let_378 (= _let_153 (tptp.double_divide _let_377 _let_23)))) (let ((_let_379 (tptp.double_divide _let_253 _let_267))) (let ((_let_380 (tptp.double_divide _let_379 _let_269))) (let ((_let_381 (tptp.double_divide _let_26 _let_380))) (let ((_let_382 (= _let_253 (tptp.double_divide _let_381 _let_23)))) (let ((_let_383 (= _let_255 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_255 _let_267) _let_269)) _let_23)))) (let ((_let_384 (= _let_257 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_257 _let_267) _let_269)) _let_23)))) (let ((_let_385 (tptp.inverse _let_361))) (let ((_let_386 (= _let_385 (tptp.double_divide _let_361 tptp.identity)))) (let ((_let_387 (tptp.inverse _let_253))) (let ((_let_388 (= _let_387 (tptp.double_divide _let_253 tptp.identity)))) (let ((_let_389 (tptp.double_divide _let_221 tptp.identity))) (let ((_let_390 (= _let_11 (tptp.double_divide (tptp.double_divide _let_257 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_257 _let_389)) (tptp.double_divide _let_389 tptp.identity))) _let_23)))) (let ((_let_391 (= _let_14 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_14 _let_369) _let_45)) _let_23)))) (let ((_let_392 (= _let_17 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_17 _let_369) _let_45)) _let_23)))) (let ((_let_393 (= _let_20 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_20 _let_369) _let_45)) _let_23)))) (let ((_let_394 (= _let_26 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_26 _let_369) _let_45)) _let_23)))) (let ((_let_395 (= _let_12 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_12 _let_369) _let_45)) _let_23)))) (let ((_let_396 (= _let_15 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_15 _let_369) _let_45)) _let_23)))) (let ((_let_397 (= _let_18 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_18 _let_369) _let_45)) _let_23)))) (let ((_let_398 (= _let_21 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_21 _let_369) _let_45)) _let_23)))) (let ((_let_399 (tptp.double_divide _let_324 _let_195))) (let ((_let_400 (tptp.double_divide _let_399 tptp.identity))) (let ((_let_401 (tptp.double_divide _let_15 _let_399))) (let ((_let_402 (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide tptp.identity _let_401) _let_400)))) (let ((_let_403 (= tptp.identity (tptp.double_divide _let_402 _let_23)))) (let ((_let_404 (tptp.double_divide _let_254 tptp.identity))) (let ((_let_405 (tptp.double_divide _let_145 (tptp.double_divide (tptp.double_divide _let_24 _let_255) _let_404)))) (let ((_let_406 (= _let_24 (tptp.double_divide _let_405 _let_23)))) (let ((_let_407 (= _let_27 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_27 _let_369) _let_45)) _let_23)))) (let ((_let_408 (tptp.double_divide _let_145 (tptp.double_divide (tptp.double_divide _let_14 _let_219) (tptp.double_divide _let_218 tptp.identity))))) (let ((_let_409 (= _let_14 (tptp.double_divide _let_408 _let_23)))) (let ((_let_410 (tptp.double_divide (tptp.double_divide _let_105 _let_146) _let_45))) (let ((_let_411 (tptp.double_divide _let_145 (tptp.double_divide (tptp.double_divide _let_17 (tptp.double_divide _let_145 _let_410)) (tptp.double_divide _let_410 tptp.identity))))) (let ((_let_412 (= _let_17 (tptp.double_divide _let_411 _let_23)))) (let ((_let_413 (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_82 _let_401) _let_400)))) (let ((_let_414 (= _let_82 (tptp.double_divide _let_413 _let_23)))) (let ((_let_415 (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_87 _let_401) _let_400)))) (let ((_let_416 (= _let_87 (tptp.double_divide _let_415 _let_23)))) (let ((_let_417 (= _let_20 (tptp.double_divide (tptp.double_divide _let_339 (tptp.double_divide (tptp.double_divide _let_20 _let_340) _let_45)) _let_23)))) (let ((_let_418 (tptp.double_divide (tptp.double_divide _let_77 _let_146) _let_45))) (let ((_let_419 (tptp.double_divide _let_145 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide _let_145 _let_418)) (tptp.double_divide _let_418 tptp.identity))))) (let ((_let_420 (= _let_26 (tptp.double_divide _let_419 _let_23)))) (let ((_let_421 (tptp.double_divide _let_333 tptp.identity))) (let ((_let_422 (tptp.double_divide _let_145 (tptp.double_divide (tptp.double_divide _let_15 _let_334) _let_421)))) (let ((_let_423 (= _let_15 (tptp.double_divide _let_422 _let_23)))) (let ((_let_424 (tptp.double_divide _let_225 tptp.identity))) (let ((_let_425 (tptp.double_divide _let_201 _let_226))) (let ((_let_426 (tptp.double_divide tptp.identity (tptp.double_divide _let_425 _let_424)))) (let ((_let_427 (= _let_201 (tptp.double_divide _let_426 _let_23)))) (let ((_let_428 (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_329 _let_369) _let_45)))) (let ((_let_429 (= _let_329 (tptp.double_divide _let_428 _let_23)))) (let ((_let_430 (= _let_248 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_248 _let_369) _let_45)) _let_23)))) (let ((_let_431 (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_253 _let_369) _let_45)))) (let ((_let_432 (= _let_253 (tptp.double_divide _let_431 _let_23)))) (let ((_let_433 (= _let_274 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_274 _let_369) _let_45)) _let_23)))) (let ((_let_434 (tptp.double_divide _let_276 _let_26))) (let ((_let_435 (tptp.double_divide _let_11 (tptp.double_divide _let_434 _let_58)))) (let ((_let_436 (= _let_276 (tptp.double_divide _let_435 _let_23)))) (let ((_let_437 (tptp.double_divide _let_14 _let_84))) (let ((_let_438 (tptp.double_divide _let_329 (tptp.double_divide (tptp.double_divide _let_437 _let_333) _let_126)))) (let ((_let_439 (= _let_437 (tptp.double_divide _let_438 _let_23)))) (let ((_let_440 (tptp.double_divide _let_316 tptp.identity))) (let ((_let_441 (tptp.double_divide _let_437 (tptp.double_divide (tptp.double_divide _let_20 (tptp.double_divide _let_437 _let_316)) _let_440)))) (let ((_let_442 (= _let_20 (tptp.double_divide _let_441 _let_23)))) (let ((_let_443 (tptp.double_divide _let_286 tptp.identity))) (let ((_let_444 (tptp.double_divide _let_287 (tptp.double_divide _let_288 _let_443)))) (let ((_let_445 (= _let_20 (tptp.double_divide _let_444 _let_23)))) (let ((_let_446 (= _let_288 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_288 _let_369) _let_45)) _let_23)))) (let ((_let_447 (tptp.double_divide _let_290 (tptp.double_divide _let_291 _let_443)))) (let ((_let_448 (= _let_20 (tptp.double_divide _let_447 _let_23)))) (let ((_let_449 (= _let_291 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_291 _let_369) _let_45)) _let_23)))) (let ((_let_450 (= _let_295 (tptp.double_divide (tptp.double_divide _let_361 (tptp.double_divide (tptp.double_divide _let_295 _let_365) _let_126)) _let_23)))) (let ((_let_451 (tptp.double_divide _let_295 (tptp.double_divide _let_296 _let_443)))) (let ((_let_452 (= _let_20 (tptp.double_divide _let_451 _let_23)))) (let ((_let_453 (= _let_296 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_296 _let_369) _let_45)) _let_23)))) (let ((_let_454 (tptp.double_divide _let_300 (tptp.double_divide _let_302 _let_443)))) (let ((_let_455 (= _let_20 (tptp.double_divide _let_454 _let_23)))) (let ((_let_456 (= _let_302 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_302 _let_369) _let_45)) _let_23)))) (let ((_let_457 (tptp.double_divide tptp.b3 _let_369))) (let ((_let_458 (tptp.double_divide _let_368 (tptp.double_divide _let_457 _let_45)))) (let ((_let_459 (tptp.double_divide _let_458 _let_23))) (let ((_let_460 (= tptp.b3 _let_459))) (let ((_let_461 (tptp.double_divide tptp.b3 (tptp.double_divide _let_306 _let_23)))) (let ((_let_462 (= _let_305 (tptp.double_divide _let_461 _let_23)))) (let ((_let_463 (= _let_307 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_307 _let_369) _let_45)) _let_23)))) (let ((_let_464 (tptp.double_divide tptp.a3 _let_369))) (let ((_let_465 (tptp.double_divide _let_368 (tptp.double_divide _let_464 _let_45)))) (let ((_let_466 (tptp.double_divide _let_465 _let_23))) (let ((_let_467 (= tptp.a3 _let_466))) (let ((_let_468 (tptp.double_divide tptp.a3 tptp.identity))) (let ((_let_469 (tptp.double_divide _let_15 _let_14))) (let ((_let_470 (tptp.double_divide _let_469 _let_468))) (let ((_let_471 (tptp.double_divide tptp.a3 (tptp.double_divide _let_470 _let_23)))) (let ((_let_472 (= _let_469 (tptp.double_divide _let_471 _let_23)))) (let ((_let_473 (tptp.double_divide _let_310 _let_353))) (let ((_let_474 (tptp.double_divide _let_473 _let_45))) (let ((_let_475 (tptp.double_divide _let_352 _let_474))) (let ((_let_476 (= _let_310 (tptp.double_divide _let_475 _let_23)))) (let ((_let_477 (= _let_311 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_311 _let_369) _let_45)) _let_23)))) (let ((_let_478 (tptp.double_divide _let_317 _let_333))) (let ((_let_479 (tptp.double_divide _let_329 (tptp.double_divide _let_478 _let_126)))) (let ((_let_480 (= _let_317 (tptp.double_divide _let_479 _let_23)))) (let ((_let_481 (= _let_318 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_318 _let_369) _let_45)) _let_23)))) (let ((_let_482 (tptp.double_divide _let_329 (tptp.double_divide (tptp.double_divide _let_320 _let_333) _let_126)))) (let ((_let_483 (= _let_320 (tptp.double_divide _let_482 _let_23)))) (let ((_let_484 (tptp.double_divide _let_320 (tptp.double_divide _let_321 _let_440)))) (let ((_let_485 (= _let_20 (tptp.double_divide _let_484 _let_23)))) (let ((_let_486 (= _let_321 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_321 _let_369) _let_45)) _let_23)))) (let ((_let_487 (tptp.double_divide _let_325 (tptp.double_divide _let_327 _let_440)))) (let ((_let_488 (= _let_20 (tptp.double_divide _let_487 _let_23)))) (let ((_let_489 (= _let_327 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_327 _let_369) _let_45)) _let_23)))) (let ((_let_490 (tptp.double_divide (tptp.double_divide _let_27 _let_193) _let_84))) (let ((_let_491 (tptp.double_divide _let_490 _let_316))) (let ((_let_492 (tptp.double_divide _let_20 _let_491))) (let ((_let_493 (tptp.double_divide _let_490 (tptp.double_divide _let_492 _let_440)))) (let ((_let_494 (= _let_20 (tptp.double_divide _let_493 _let_23)))) (let ((_let_495 (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_96 _let_146) _let_267) _let_269)))) (let ((_let_496 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_495 _let_23)) _let_45))) (let ((_let_497 (tptp.double_divide _let_495 _let_496))) (let ((_let_498 (= _let_11 (tptp.double_divide _let_497 _let_23)))) (let ((_let_499 (= _let_330 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_330 _let_369) _let_45)) _let_23)))) (let ((_let_500 (tptp.double_divide _let_11 (tptp.double_divide (tptp.double_divide _let_338 _let_26) _let_58)))) (let ((_let_501 (= _let_338 (tptp.double_divide _let_500 _let_23)))) (let ((_let_502 (= _let_339 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_339 _let_369) _let_45)) _let_23)))) (let ((_let_503 (= _let_347 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_347 _let_369) _let_45)) _let_23)))) (let ((_let_504 (tptp.double_divide tptp.identity _let_88))) (let ((_let_505 (tptp.double_divide _let_337 (tptp.double_divide (tptp.double_divide _let_504 _let_342) _let_126)))) (let ((_let_506 (tptp.double_divide _let_505 _let_23))) (let ((_let_507 (= _let_504 _let_506))) (let ((_let_508 (tptp.double_divide _let_346 tptp.identity))) (let ((_let_509 (tptp.double_divide _let_351 (tptp.double_divide _let_352 _let_508)))) (let ((_let_510 (= _let_26 (tptp.double_divide _let_509 _let_23)))) (let ((_let_511 (= _let_352 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_352 _let_369) _let_45)) _let_23)))) (let ((_let_512 (= _let_359 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_359 _let_369) _let_45)) _let_23)))) (let ((_let_513 (= _let_363 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_363 _let_369) _let_45)) _let_23)))) (let ((_let_514 (= _let_11 (tptp.double_divide (tptp.double_divide _let_371 (tptp.double_divide (tptp.double_divide _let_11 _let_372) _let_45)) _let_23)))) (let ((_let_515 (tptp.double_divide _let_145 (tptp.double_divide (tptp.double_divide _let_248 _let_255) _let_404)))) (let ((_let_516 (tptp.double_divide _let_515 _let_23))) (let ((_let_517 (= _let_248 _let_516))) (let ((_let_518 (= _let_374 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_374 _let_369) _let_45)) _let_23)))) (let ((_let_519 (tptp.double_divide _let_215 tptp.identity))) (let ((_let_520 (tptp.double_divide (tptp.double_divide _let_376 _let_216) _let_519))) (let ((_let_521 (tptp.double_divide tptp.identity _let_520))) (let ((_let_522 (= _let_376 (tptp.double_divide _let_521 _let_23)))) (let ((_let_523 (= _let_26 (tptp.double_divide (tptp.double_divide _let_376 (tptp.double_divide _let_377 _let_508)) _let_23)))) (let ((_let_524 (= _let_377 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_377 _let_369) _let_45)) _let_23)))) (let ((_let_525 (tptp.double_divide _let_379 _let_26))) (let ((_let_526 (tptp.double_divide _let_11 (tptp.double_divide _let_525 _let_58)))) (let ((_let_527 (= _let_379 (tptp.double_divide _let_526 _let_23)))) (let ((_let_528 (= _let_381 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_381 _let_369) _let_45)) _let_23)))) (let ((_let_529 (tptp.double_divide _let_159 _let_128))) (let ((_let_530 (tptp.double_divide _let_529 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide _let_529 _let_346)) _let_508)))) (let ((_let_531 (tptp.double_divide _let_530 _let_23))) (let ((_let_532 (= _let_26 _let_531))) (let ((_let_533 (tptp.double_divide _let_79 _let_221))) (let ((_let_534 (= _let_533 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_533 _let_369) _let_45)) _let_23)))) (let ((_let_535 (tptp.double_divide _let_145 _let_221))) (let ((_let_536 (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_535 _let_369) _let_45)))) (let ((_let_537 (= _let_535 (tptp.double_divide _let_536 _let_23)))) (let ((_let_538 (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_399 _let_369) _let_45)))) (let ((_let_539 (= _let_399 (tptp.double_divide _let_538 _let_23)))) (let ((_let_540 (tptp.double_divide _let_202 _let_369))) (let ((_let_541 (tptp.double_divide _let_540 _let_45))) (let ((_let_542 (tptp.double_divide _let_368 _let_541))) (let ((_let_543 (tptp.double_divide _let_542 _let_23))) (let ((_let_544 (= _let_202 _let_543))) (let ((_let_545 (tptp.double_divide _let_153 _let_221))) (let ((_let_546 (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_545 _let_369) _let_45)))) (let ((_let_547 (= _let_545 (tptp.double_divide _let_546 _let_23)))) (let ((_let_548 (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_222 _let_369) _let_45)))) (let ((_let_549 (= _let_222 (tptp.double_divide _let_548 _let_23)))) (let ((_let_550 (tptp.double_divide _let_106 _let_221))) (let ((_let_551 (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_550 _let_369) _let_45)))) (let ((_let_552 (= _let_550 (tptp.double_divide _let_551 _let_23)))) (let ((_let_553 (= _let_333 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_333 _let_369) _let_45)) _let_23)))) (let ((_let_554 (= _let_365 (tptp.double_divide (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_365 _let_369) _let_45)) _let_23)))) (let ((_let_555 (tptp.double_divide _let_368 (tptp.double_divide (tptp.double_divide _let_254 _let_369) _let_45)))) (let ((_let_556 (= _let_254 (tptp.double_divide _let_555 _let_23)))) (let ((_let_557 (= (tptp.multiply _let_343 _let_337) (tptp.double_divide _let_344 tptp.identity)))) (let ((_let_558 (= (tptp.multiply tptp.identity _let_333) (tptp.double_divide _let_421 tptp.identity)))) (let ((_let_559 (= (tptp.multiply _let_23 _let_330) (tptp.double_divide _let_331 tptp.identity)))) (let ((_let_560 (tptp.inverse tptp.a3))) (let ((_let_561 (= _let_468 _let_560))) (let ((_let_562 (tptp.inverse tptp.b3))) (let ((_let_563 (= _let_304 _let_562))) (let ((_let_564 (tptp.inverse _let_202))) (let ((_let_565 (= (tptp.double_divide _let_202 tptp.identity) _let_564))) (let ((_let_566 (= tptp.identity (tptp.double_divide _let_361 _let_385)))) (let ((_let_567 (tptp.double_divide _let_253 _let_387))) (let ((_let_568 (= tptp.identity _let_567))) (let ((_let_569 (tptp.double_divide _let_465 (tptp.double_divide (tptp.double_divide tptp.b3 _let_466) _let_45)))) (let ((_let_570 (= tptp.b3 (tptp.double_divide _let_569 _let_23)))) (let ((_let_571 (= _let_1 (tptp.double_divide (tptp.double_divide _let_465 (tptp.double_divide (tptp.double_divide _let_1 _let_466) _let_45)) _let_23)))) (let ((_let_572 (tptp.double_divide _let_387 tptp.identity))) (let ((_let_573 (= _let_14 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_14 _let_567) _let_572)) _let_23)))) (let ((_let_574 (tptp.double_divide _let_458 (tptp.double_divide (tptp.double_divide tptp.c3 _let_459) _let_45)))) (let ((_let_575 (= tptp.c3 (tptp.double_divide _let_574 _let_23)))) (let ((_let_576 (= _let_17 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_17 _let_567) _let_572)) _let_23)))) (let ((_let_577 (= tptp.identity (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide tptp.identity _let_567) _let_572)) _let_23)))) (let ((_let_578 (= _let_12 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_12 _let_567) _let_572)) _let_23)))) (let ((_let_579 (= _let_15 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_15 _let_567) _let_572)) _let_23)))) (let ((_let_580 (= _let_18 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_18 _let_567) _let_572)) _let_23)))) (let ((_let_581 (= _let_21 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_21 _let_567) _let_572)) _let_23)))) (let ((_let_582 (tptp.double_divide _let_255 _let_126))) (let ((_let_583 (tptp.double_divide _let_582 tptp.identity))) (let ((_let_584 (tptp.double_divide _let_253 _let_582))) (let ((_let_585 (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide tptp.identity _let_584) _let_583)))) (let ((_let_586 (= tptp.identity (tptp.double_divide _let_585 _let_23)))) (let ((_let_587 (= _let_27 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_27 _let_567) _let_572)) _let_23)))) (let ((_let_588 (= _let_337 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_337 _let_567) _let_572)) _let_23)))) (let ((_let_589 (= _let_361 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_361 _let_567) _let_572)) _let_23)))) (let ((_let_590 (= _let_253 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_253 _let_567) _let_572)) _let_23)))) (let ((_let_591 (= _let_272 (tptp.double_divide (tptp.double_divide _let_530 (tptp.double_divide (tptp.double_divide _let_272 _let_531) _let_45)) _let_23)))) (let ((_let_592 (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide tptp.a3 _let_567) _let_572)))) (let ((_let_593 (= tptp.a3 (tptp.double_divide _let_592 _let_23)))) (let ((_let_594 (= _let_330 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_330 _let_567) _let_572)) _let_23)))) (let ((_let_595 (= _let_362 (tptp.double_divide (tptp.double_divide _let_530 (tptp.double_divide (tptp.double_divide _let_362 _let_531) _let_45)) _let_23)))) (let ((_let_596 (= _let_381 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_381 _let_567) _let_572)) _let_23)))) (let ((_let_597 (= _let_339 (tptp.double_divide (tptp.double_divide _let_505 (tptp.double_divide (tptp.double_divide _let_339 _let_506) _let_45)) _let_23)))) (let ((_let_598 (= _let_422 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_422 _let_567) _let_572)) _let_23)))) (let ((_let_599 (= tptp.identity (tptp.double_divide (tptp.double_divide _let_425 (tptp.double_divide _let_426 (tptp.double_divide _let_424 tptp.identity))) _let_23)))) (let ((_let_600 (= _let_426 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_426 _let_567) _let_572)) _let_23)))) (let ((_let_601 (= _let_428 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_428 _let_567) _let_572)) _let_23)))) (let ((_let_602 (= _let_431 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_431 _let_567) _let_572)) _let_23)))) (let ((_let_603 (tptp.double_divide _let_272 _let_26))) (let ((_let_604 (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_603 _let_584) _let_583)))) (let ((_let_605 (= _let_603 (tptp.double_divide _let_604 _let_23)))) (let ((_let_606 (= _let_11 (tptp.double_divide (tptp.double_divide _let_434 (tptp.double_divide _let_435 _let_176)) _let_23)))) (let ((_let_607 (= _let_435 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_435 _let_567) _let_572)) _let_23)))) (let ((_let_608 (= _let_438 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_438 _let_567) _let_572)) _let_23)))) (let ((_let_609 (= _let_441 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_441 _let_567) _let_572)) _let_23)))) (let ((_let_610 (tptp.double_divide _let_443 tptp.identity))) (let ((_let_611 (= _let_287 (tptp.double_divide (tptp.double_divide _let_288 (tptp.double_divide _let_444 _let_610)) _let_23)))) (let ((_let_612 (= _let_444 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_444 _let_567) _let_572)) _let_23)))) (let ((_let_613 (= _let_290 (tptp.double_divide (tptp.double_divide _let_291 (tptp.double_divide _let_447 _let_610)) _let_23)))) (let ((_let_614 (= _let_447 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_447 _let_567) _let_572)) _let_23)))) (let ((_let_615 (tptp.double_divide _let_91 _let_110))) (let ((_let_616 (tptp.double_divide _let_615 _let_365))) (let ((_let_617 (= _let_616 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_616 _let_567) _let_572)) _let_23)))) (let ((_let_618 (= _let_295 (tptp.double_divide (tptp.double_divide _let_296 (tptp.double_divide _let_451 _let_610)) _let_23)))) (let ((_let_619 (= _let_451 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_451 _let_567) _let_572)) _let_23)))) (let ((_let_620 (tptp.double_divide _let_27 _let_159))) (let ((_let_621 (tptp.double_divide _let_620 _let_254))) (let ((_let_622 (= _let_621 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_621 _let_567) _let_572)) _let_23)))) (let ((_let_623 (tptp.double_divide _let_300 _let_365))) (let ((_let_624 (= _let_623 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_623 _let_567) _let_572)) _let_23)))) (let ((_let_625 (= _let_300 (tptp.double_divide (tptp.double_divide _let_302 (tptp.double_divide _let_454 _let_610)) _let_23)))) (let ((_let_626 (= _let_454 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_454 _let_567) _let_572)) _let_23)))) (let ((_let_627 (tptp.double_divide _let_457 _let_567))) (let ((_let_628 (tptp.double_divide _let_253 (tptp.double_divide _let_627 _let_572)))) (let ((_let_629 (tptp.double_divide _let_628 _let_23))) (let ((_let_630 (= _let_457 _let_629))) (let ((_let_631 (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_458 _let_567) _let_572)))) (let ((_let_632 (= _let_458 (tptp.double_divide _let_631 _let_23)))) (let ((_let_633 (tptp.double_divide _let_306 (tptp.double_divide _let_461 _let_45)))) (let ((_let_634 (= tptp.b3 (tptp.double_divide _let_633 _let_23)))) (let ((_let_635 (tptp.double_divide _let_304 tptp.identity))) (let ((_let_636 (tptp.double_divide _let_635 tptp.identity))) (let ((_let_637 (tptp.double_divide _let_305 (tptp.double_divide _let_307 _let_635)))) (let ((_let_638 (tptp.double_divide _let_637 _let_636))) (let ((_let_639 (tptp.double_divide _let_307 _let_638))) (let ((_let_640 (= _let_305 (tptp.double_divide _let_639 _let_23)))) (let ((_let_641 (tptp.double_divide _let_464 _let_567))) (let ((_let_642 (tptp.double_divide _let_253 (tptp.double_divide _let_641 _let_572)))) (let ((_let_643 (= _let_464 (tptp.double_divide _let_642 _let_23)))) (let ((_let_644 (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_465 _let_567) _let_572)))) (let ((_let_645 (= _let_465 (tptp.double_divide _let_644 _let_23)))) (let ((_let_646 (tptp.double_divide _let_470 (tptp.double_divide _let_471 _let_45)))) (let ((_let_647 (= tptp.a3 (tptp.double_divide _let_646 _let_23)))) (let ((_let_648 (= _let_473 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_473 _let_567) _let_572)) _let_23)))) (let ((_let_649 (= _let_352 (tptp.double_divide (tptp.double_divide _let_473 (tptp.double_divide _let_475 _let_126)) _let_23)))) (let ((_let_650 (= _let_329 (tptp.double_divide (tptp.double_divide _let_478 (tptp.double_divide _let_479 _let_233)) _let_23)))) (let ((_let_651 (tptp.double_divide _let_440 tptp.identity))) (let ((_let_652 (= _let_320 (tptp.double_divide (tptp.double_divide _let_321 (tptp.double_divide _let_484 _let_651)) _let_23)))) (let ((_let_653 (= _let_484 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_484 _let_567) _let_572)) _let_23)))) (let ((_let_654 (= _let_325 (tptp.double_divide (tptp.double_divide _let_327 (tptp.double_divide _let_487 _let_651)) _let_23)))) (let ((_let_655 (= _let_487 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_487 _let_567) _let_572)) _let_23)))) (let ((_let_656 (= _let_493 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_493 _let_567) _let_572)) _let_23)))) (let ((_let_657 (tptp.double_divide (tptp.double_divide _let_79 _let_128) _let_346))) (let ((_let_658 (tptp.double_divide _let_657 tptp.identity))) (let ((_let_659 (tptp.double_divide _let_26 _let_657))) (let ((_let_660 (tptp.double_divide (tptp.double_divide _let_347 _let_659) _let_658))) (let ((_let_661 (tptp.double_divide _let_26 _let_660))) (let ((_let_662 (= _let_347 (tptp.double_divide _let_661 _let_23)))) (let ((_let_663 (= _let_505 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_505 _let_567) _let_572)) _let_23)))) (let ((_let_664 (= _let_351 (tptp.double_divide (tptp.double_divide _let_352 (tptp.double_divide _let_509 (tptp.double_divide _let_508 tptp.identity))) _let_23)))) (let ((_let_665 (= _let_509 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_509 _let_567) _let_572)) _let_23)))) (let ((_let_666 (tptp.double_divide _let_357 _let_216))) (let ((_let_667 (tptp.double_divide _let_515 (tptp.double_divide (tptp.double_divide _let_666 _let_516) _let_45)))) (let ((_let_668 (= _let_666 (tptp.double_divide _let_667 _let_23)))) (let ((_let_669 (tptp.double_divide _let_519 tptp.identity))) (let ((_let_670 (tptp.double_divide tptp.identity (tptp.double_divide _let_666 _let_519)))) (let ((_let_671 (tptp.double_divide _let_666 (tptp.double_divide _let_670 _let_669)))) (let ((_let_672 (= tptp.identity (tptp.double_divide _let_671 _let_23)))) (let ((_let_673 (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_359 _let_659) _let_658)))) (let ((_let_674 (tptp.double_divide _let_673 _let_23))) (let ((_let_675 (= _let_359 _let_674))) (let ((_let_676 (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide _let_363 _let_492) (tptp.double_divide _let_491 tptp.identity))))) (let ((_let_677 (= _let_363 (tptp.double_divide _let_676 _let_23)))) (let ((_let_678 (tptp.double_divide _let_361 _let_401))) (let ((_let_679 (tptp.double_divide _let_678 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide _let_678 _let_400)) (tptp.double_divide _let_400 tptp.identity))))) (let ((_let_680 (tptp.double_divide _let_679 _let_23))) (let ((_let_681 (= _let_15 _let_680))) (let ((_let_682 (= _let_521 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_521 _let_567) _let_572)) _let_23)))) (let ((_let_683 (= _let_376 (tptp.double_divide (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide _let_376 _let_327) (tptp.double_divide _let_326 tptp.identity))) _let_23)))) (let ((_let_684 (= _let_11 (tptp.double_divide (tptp.double_divide _let_525 (tptp.double_divide _let_526 _let_176)) _let_23)))) (let ((_let_685 (= _let_530 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_530 _let_567) _let_572)) _let_23)))) (let ((_let_686 (= _let_542 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_542 _let_567) _let_572)) _let_23)))) (let ((_let_687 (= _let_555 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_555 _let_567) _let_572)) _let_23)))) (let ((_let_688 (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_273 _let_567) _let_572)))) (let ((_let_689 (tptp.double_divide _let_688 _let_23))) (let ((_let_690 (= _let_273 _let_689))) (let ((_let_691 (= _let_277 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_277 _let_567) _let_572)) _let_23)))) (let ((_let_692 (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_358 _let_567) _let_572)))) (let ((_let_693 (tptp.double_divide _let_692 _let_23))) (let ((_let_694 (= _let_358 _let_693))) (let ((_let_695 (= _let_253 (tptp.double_divide (tptp.double_divide _let_253 (tptp.double_divide (tptp.double_divide _let_253 _let_254) _let_126)) _let_23)))) (let ((_let_696 (= (tptp.multiply _let_45 _let_540) (tptp.double_divide _let_541 tptp.identity)))) (let ((_let_697 (= (tptp.multiply _let_45 _let_473) (tptp.double_divide _let_474 tptp.identity)))) (let ((_let_698 (= (tptp.double_divide _let_306 tptp.identity) (tptp.inverse _let_306)))) (let ((_let_699 (= (tptp.double_divide _let_470 tptp.identity) (tptp.inverse _let_470)))) (let ((_let_700 (= (tptp.inverse _let_540) (tptp.double_divide _let_540 tptp.identity)))) (let ((_let_701 (= (tptp.inverse _let_473) (tptp.double_divide _let_473 tptp.identity)))) (let ((_let_702 (= tptp.identity (tptp.double_divide tptp.a3 _let_560)))) (let ((_let_703 (= tptp.identity (tptp.double_divide tptp.b3 _let_562)))) (let ((_let_704 (tptp.double_divide _let_202 _let_564))) (let ((_let_705 (= tptp.identity _let_704))) (let ((_let_706 (tptp.double_divide _let_564 tptp.identity))) (let ((_let_707 (= _let_14 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_14 _let_704) _let_706)) _let_23)))) (let ((_let_708 (= _let_17 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_17 _let_704) _let_706)) _let_23)))) (let ((_let_709 (tptp.double_divide _let_495 (tptp.double_divide (tptp.double_divide tptp.c3 _let_497) (tptp.double_divide _let_496 tptp.identity))))) (let ((_let_710 (= tptp.c3 (tptp.double_divide _let_709 _let_23)))) (let ((_let_711 (= _let_26 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_26 _let_704) _let_706)) _let_23)))) (let ((_let_712 (tptp.double_divide _let_15 _let_704))) (let ((_let_713 (tptp.double_divide _let_202 (tptp.double_divide _let_712 _let_706)))) (let ((_let_714 (= _let_15 (tptp.double_divide _let_713 _let_23)))) (let ((_let_715 (= _let_18 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_18 _let_704) _let_706)) _let_23)))) (let ((_let_716 (tptp.double_divide _let_679 (tptp.double_divide (tptp.double_divide _let_201 _let_680) _let_45)))) (let ((_let_717 (= _let_201 (tptp.double_divide _let_716 _let_23)))) (let ((_let_718 (= _let_361 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_361 _let_704) _let_706)) _let_23)))) (let ((_let_719 (= _let_26 (tptp.double_divide (tptp.double_divide _let_688 (tptp.double_divide (tptp.double_divide _let_26 _let_689) _let_45)) _let_23)))) (let ((_let_720 (= tptp.b3 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide tptp.b3 _let_704) _let_706)) _let_23)))) (let ((_let_721 (= tptp.a3 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide tptp.a3 _let_704) _let_706)) _let_23)))) (let ((_let_722 (= _let_339 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_339 _let_704) _let_706)) _let_23)))) (let ((_let_723 (tptp.double_divide _let_357 _let_301))) (let ((_let_724 (tptp.double_divide _let_300 (tptp.double_divide _let_723 _let_443)))) (let ((_let_725 (= _let_357 (tptp.double_divide _let_724 _let_23)))) (let ((_let_726 (= _let_26 (tptp.double_divide (tptp.double_divide _let_692 (tptp.double_divide (tptp.double_divide _let_26 _let_693) _let_45)) _let_23)))) (let ((_let_727 (= _let_458 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_458 _let_704) _let_706)) _let_23)))) (let ((_let_728 (= _let_306 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_306 _let_704) _let_706)) _let_23)))) (let ((_let_729 (= _let_465 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_465 _let_704) _let_706)) _let_23)))) (let ((_let_730 (= _let_470 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_470 _let_704) _let_706)) _let_23)))) (let ((_let_731 (tptp.double_divide _let_300 (tptp.double_divide (tptp.double_divide _let_465 _let_301) _let_443)))) (let ((_let_732 (= _let_465 (tptp.double_divide _let_731 _let_23)))) (let ((_let_733 (= _let_569 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_569 _let_704) _let_706)) _let_23)))) (let ((_let_734 (= _let_465 (tptp.double_divide (tptp.double_divide _let_679 (tptp.double_divide (tptp.double_divide _let_465 _let_680) _let_45)) _let_23)))) (let ((_let_735 (= _let_574 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_574 _let_704) _let_706)) _let_23)))) (let ((_let_736 (= _let_542 (tptp.double_divide (tptp.double_divide _let_673 (tptp.double_divide (tptp.double_divide _let_542 _let_674) _let_45)) _let_23)))) (let ((_let_737 (tptp.double_divide _let_273 (tptp.double_divide (tptp.double_divide _let_530 (tptp.double_divide _let_273 tptp.identity)) _let_23)))) (let ((_let_738 (= _let_530 (tptp.double_divide _let_737 _let_23)))) (let ((_let_739 (tptp.double_divide _let_202 _let_567))) (let ((_let_740 (= _let_739 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_739 _let_521) (tptp.double_divide _let_520 tptp.identity))) _let_23)))) (let ((_let_741 (= _let_604 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_604 _let_704) _let_706)) _let_23)))) (let ((_let_742 (= _let_628 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_628 _let_704) _let_706)) _let_23)))) (let ((_let_743 (= _let_631 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_631 _let_704) _let_706)) _let_23)))) (let ((_let_744 (= _let_633 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_633 _let_704) _let_706)) _let_23)))) (let ((_let_745 (= _let_307 (tptp.double_divide (tptp.double_divide _let_637 (tptp.double_divide _let_639 (tptp.double_divide _let_636 tptp.identity))) _let_23)))) (let ((_let_746 (= _let_639 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_639 _let_704) _let_706)) _let_23)))) (let ((_let_747 (= _let_642 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_642 _let_704) _let_706)) _let_23)))) (let ((_let_748 (= _let_644 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_644 _let_704) _let_706)) _let_23)))) (let ((_let_749 (= _let_646 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_646 _let_704) _let_706)) _let_23)))) (let ((_let_750 (= _let_661 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_661 _let_704) _let_706)) _let_23)))) (let ((_let_751 (= _let_667 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_667 _let_704) _let_706)) _let_23)))) (let ((_let_752 (= _let_666 (tptp.double_divide (tptp.double_divide _let_670 (tptp.double_divide _let_671 (tptp.double_divide _let_669 tptp.identity))) _let_23)))) (let ((_let_753 (= _let_671 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_671 _let_704) _let_706)) _let_23)))) (let ((_let_754 (= _let_673 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_673 _let_704) _let_706)) _let_23)))) (let ((_let_755 (= _let_676 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_676 _let_704) _let_706)) _let_23)))) (let ((_let_756 (= _let_679 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_679 _let_704) _let_706)) _let_23)))) (let ((_let_757 (= _let_688 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_688 _let_704) _let_706)) _let_23)))) (let ((_let_758 (= _let_692 (tptp.double_divide (tptp.double_divide _let_202 (tptp.double_divide (tptp.double_divide _let_692 _let_704) _let_706)) _let_23)))) (let ((_let_759 (= tptp.a3 (tptp.double_divide (tptp.double_divide tptp.a3 (tptp.double_divide (tptp.double_divide tptp.a3 _let_468) _let_23)) _let_23)))) (let ((_let_760 (= tptp.b3 (tptp.double_divide (tptp.double_divide _let_628 (tptp.double_divide (tptp.double_divide tptp.b3 _let_629) _let_45)) _let_23)))) (let ((_let_761 (tptp.double_divide (tptp.double_divide _let_15 _let_543) _let_45))) (let ((_let_762 (= (tptp.multiply _let_761 _let_542) (tptp.double_divide (tptp.double_divide _let_542 _let_761) tptp.identity)))) (let ((_let_763 (= (tptp.double_divide _let_604 tptp.identity) (tptp.inverse _let_604)))) (let ((_let_764 (= (tptp.double_divide _let_667 tptp.identity) (tptp.inverse _let_667)))) (let ((_let_765 (tptp.inverse _let_380))) (let ((_let_766 (tptp.double_divide _let_380 _let_765))) (let ((_let_767 (= tptp.identity _let_766))) (let ((_let_768 (tptp.double_divide _let_765 tptp.identity))) (let ((_let_769 (= _let_14 (tptp.double_divide (tptp.double_divide _let_380 (tptp.double_divide (tptp.double_divide _let_14 _let_766) _let_768)) _let_23)))) (let ((_let_770 (= _let_26 (tptp.double_divide (tptp.double_divide _let_380 (tptp.double_divide (tptp.double_divide _let_26 _let_766) _let_768)) _let_23)))) (let ((_let_771 (= _let_18 (tptp.double_divide (tptp.double_divide _let_380 (tptp.double_divide (tptp.double_divide _let_18 _let_766) _let_768)) _let_23)))) (let ((_let_772 (= _let_337 (tptp.double_divide (tptp.double_divide _let_380 (tptp.double_divide (tptp.double_divide _let_337 _let_766) _let_768)) _let_23)))) (let ((_let_773 (= tptp.a3 (tptp.double_divide (tptp.double_divide _let_380 (tptp.double_divide (tptp.double_divide tptp.a3 _let_766) _let_768)) _let_23)))) (let ((_let_774 (tptp.double_divide _let_660 tptp.identity))) (let ((_let_775 (= _let_458 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_458 _let_661) _let_774)) _let_23)))) (let ((_let_776 (= _let_202 (tptp.double_divide (tptp.double_divide _let_712 (tptp.double_divide _let_713 (tptp.double_divide _let_706 tptp.identity))) _let_23)))) (let ((_let_777 (= _let_713 (tptp.double_divide (tptp.double_divide _let_380 (tptp.double_divide (tptp.double_divide _let_713 _let_766) _let_768)) _let_23)))) (let ((_let_778 (= _let_716 (tptp.double_divide (tptp.double_divide _let_380 (tptp.double_divide (tptp.double_divide _let_716 _let_766) _let_768)) _let_23)))) (let ((_let_779 (tptp.double_divide _let_638 _let_23))) (let ((_let_780 (= _let_688 (tptp.double_divide (tptp.double_divide _let_638 (tptp.double_divide (tptp.double_divide _let_688 _let_779) _let_45)) _let_23)))) (let ((_let_781 (= _let_724 (tptp.double_divide (tptp.double_divide _let_380 (tptp.double_divide (tptp.double_divide _let_724 _let_766) _let_768)) _let_23)))) (let ((_let_782 (= _let_692 (tptp.double_divide (tptp.double_divide _let_638 (tptp.double_divide (tptp.double_divide _let_692 _let_779) _let_45)) _let_23)))) (let ((_let_783 (= _let_731 (tptp.double_divide (tptp.double_divide _let_380 (tptp.double_divide (tptp.double_divide _let_731 _let_766) _let_768)) _let_23)))) (let ((_let_784 (= _let_273 (tptp.double_divide (tptp.double_divide _let_26 (tptp.double_divide (tptp.double_divide _let_273 _let_661) _let_774)) _let_23)))) (let ((_let_785 (= _let_737 (tptp.double_divide (tptp.double_divide _let_380 (tptp.double_divide (tptp.double_divide _let_737 _let_766) _let_768)) _let_23)))) (let ((_let_786 (_let_9))) (let ((_let_787 (ASSUME :args _let_786))) (let ((_let_788 ((tptp.multiply A B)))) (let ((_let_789 (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 A C)) (tptp.double_divide C tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))) (let ((_let_790 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_791 (_let_789))) (let ((_let_792 ((tptp.double_divide B (tptp.double_divide A C))))) (let ((_let_793 ((tptp.double_divide B A)))) (let ((_let_794 (_let_8))) (let ((_let_795 (ASSUME :args _let_794))) (let ((_let_796 ((tptp.double_divide A tptp.identity)))) (let ((_let_797 (_let_7))) (let ((_let_798 (ASSUME :args _let_797))) (let ((_let_799 ((tptp.inverse A)))) (let ((_let_800 (and _let_13 _let_16 _let_19 _let_22 _let_28 _let_30 _let_32 _let_34 _let_36 _let_38 _let_40 _let_44 _let_49 _let_53 _let_54 _let_56 _let_57 _let_59 _let_61 _let_63 _let_65 _let_67 _let_70 _let_71 _let_72 _let_73 _let_75 _let_81 _let_86 _let_90 _let_94 _let_95 _let_100 _let_104 _let_107 _let_112 _let_115 _let_118 _let_121 _let_125 _let_130 _let_134 _let_138 _let_141 _let_144 _let_147 _let_151 _let_155 _let_157 _let_161 _let_164 _let_167 _let_170 _let_171 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_let_388 _let_390 _let_391 _let_392 _let_393 _let_394 _let_395 _let_396 _let_397 _let_398 _let_403 _let_406 _let_407 _let_409 _let_412 _let_414 _let_416 _let_417 _let_420 _let_423 _let_427 _let_429 _let_430 _let_432 _let_433 _let_436 _let_439 _let_442 _let_445 _let_446 _let_448 _let_449 _let_450 _let_452 _let_453 _let_455 _let_456 _let_460 _let_462 _let_463 _let_467 _let_472 _let_476 _let_477 _let_480 _let_481 _let_483 _let_485 _let_486 _let_488 _let_489 _let_494 _let_498 _let_499 _let_501 _let_502 _let_503 _let_507 _let_510 _let_511 _let_512 _let_513 _let_514 _let_517 _let_518 _let_522 _let_523 _let_524 _let_527 _let_528 _let_532 _let_534 _let_537 _let_539 _let_544 _let_547 _let_549 _let_552 _let_553 _let_554 _let_556 _let_557 _let_558 _let_559 _let_561 _let_563 _let_565 _let_566 _let_568 _let_570 _let_571 _let_573 _let_575 _let_576 _let_577 _let_578 _let_579 _let_580 _let_581 _let_586 _let_587 _let_588 _let_589 _let_590 _let_591 _let_593 _let_594 _let_595 _let_596 _let_597 _let_598 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(let ((_let_1874 (CONG _let_1873 _let_861 :args _let_804))) (let ((_let_1875 (SYMM _let_1873))) (let ((_let_1876 (CONG _let_1875 (TRANS _let_1105 _let_1102 _let_1132) :args _let_804))) (let ((_let_1877 (SYMM _let_1876))) (let ((_let_1878 (ASSUME :args (_let_591)))) (let ((_let_1879 (ASSUME :args (_let_784)))) (let ((_let_1880 (ASSUME :args (_let_605)))) (let ((_let_1881 (REFL :args (_let_604)))) (let ((_let_1882 (ASSUME :args (_let_763)))) (let ((_let_1883 (ASSUME :args (_let_741)))) (let ((_let_1884 (SYMM _let_1874))) (let ((_let_1885 (ASSUME :args (_let_690)))) (let ((_let_1886 (SYMM _let_1885))) (let ((_let_1887 (REFL :args (_let_688)))) (let ((_let_1888 (ASSUME :args (_let_757)))) (let ((_let_1889 (ASSUME :args (_let_780)))) (let ((_let_1890 (REFL :args (_let_638)))) (let ((_let_1891 (CONG _let_1890 _let_866 :args _let_804))) (let ((_let_1892 (CONG _let_1816 _let_838 :args _let_804))) (let ((_let_1893 (CONG _let_1892 _let_960 :args _let_804))) (let ((_let_1894 (CONG _let_1892 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_let_1482 :args _let_804))) _let_1479 :args _let_804) :args _let_804) _let_805 :args _let_804) (SYMM _let_1906)) :args _let_911) _let_1901 _let_1905) :args _let_804) _let_833 :args _let_804))) (let ((_let_1950 (ASSUME :args (_let_745)))) (let ((_let_1951 (SYMM _let_1950))) (let ((_let_1952 (ASSUME :args (_let_463)))) (let ((_let_1953 (ASSUME :args (_let_308)))) (let ((_let_1954 (CONG (TRANS _let_1843 (CONG _let_874 (TRANS _let_1841 (CONG (TRANS _let_907 (TRANS _let_908 (SYMM (SYMM _let_1953)) (CONG (REFL :args (_let_307)) _let_1160 :args _let_804))) _let_836 :args _let_804)) :args _let_804)) _let_805 :args _let_804))) (let ((_let_1955 (ASSUME :args (_let_433)))) (let ((_let_1956 (ASSUME :args (_let_719)))) (let ((_let_1957 (ASSUME :args (_let_726)))) (let ((_let_1958 (ASSUME :args (_let_694)))) (let ((_let_1959 (SYMM (SYMM _let_1958)))) (let ((_let_1960 (SYMM _let_1845))) (let ((_let_1961 (REFL :args (_let_692)))) (let ((_let_1962 (ASSUME :args (_let_782)))) (let ((_let_1963 (ASSUME :args (_let_758)))) (let ((_let_1964 (ASSUME :args (_let_281)))) (let ((_let_1965 (CONG _let_1020 _let_864 :args _let_804))) (let ((_let_1966 (ASSUME :args (_let_205)))) (let ((_let_1967 (CONG _let_868 (CONG (TRANS (TRANS (CONG (CONG _let_840 (CONG (TRANS (CONG _let_813 _let_903 :args _let_804) (SYMM _let_1795)) _let_901 :args _let_804) :args _let_804) _let_951 :args _let_804) (SYMM _let_1966)) _let_1965) _let_861 :args _let_804) :args _let_804))) (let ((_let_1968 (ASSUME :args (_let_236)))) (let ((_let_1969 (CONG (TRANS _let_1027 _let_1029) _let_805 :args _let_804))) (let ((_let_1970 (CONG _let_1028 _let_866 :args _let_804))) (let ((_let_1971 (CONG (CONG _let_822 (TRANS _let_1044 (CONG (TRANS _let_1970 _let_1969) _let_822 :args _let_804) (CONG (REFL :args (_let_131)) _let_866 :args _let_804)) :args _let_804) _let_805 :args _let_804))) (let ((_let_1972 (ASSUME :args (_let_350)))) (let ((_let_1973 (REFL :args (_let_357)))) (let ((_let_1974 (CONG _let_1973 (TRANS (SYMM (SYMM _let_1972)) (CONG (TRANS (CONG _let_868 (CONG (TRANS (TRANS (CONG (SYMM _let_1034) _let_951 :args _let_804) _let_1971 (SYMM _let_1968) _let_1045 _let_1044) _let_1965) _let_861 :args _let_804) :args _let_804) (SYMM _let_1967)) _let_805 :args _let_804) (CONG _let_1967 _let_805 :args _let_804) (SYMM _let_1964) _let_1394) :args _let_804))) (let ((_let_1975 (ASSUME :args (_let_668)))) (let ((_let_1976 (REFL :args (_let_667)))) (let ((_let_1977 (CONG _let_1976 _let_1331 :args _let_804))) (let ((_let_1978 (ASSUME :args (_let_751)))) (let ((_let_1979 (ASSUME :args (_let_764)))) (let ((_let_1980 (ASSUME :args (_let_752)))) (let ((_let_1981 (CONG (CONG (TRANS _let_1046 (TRANS _let_1800 _let_1033 _let_1030 _let_1028 _let_1025)) _let_822 :args _let_804) _let_822 :args _let_804))) (let ((_let_1982 (ASSUME :args (_let_753)))) (let ((_let_1983 (ASSUME :args (_let_672)))) (let ((_let_1984 (REFL :args (_let_670)))) (let ((_let_1985 (CONG (CONG _let_1984 (TRANS (SYMM _let_1981) _let_1800 _let_1033 _let_1968 (SYMM _let_1971) _let_1036 _let_1041 (CONG (TRANS _let_1925 (SYMM _let_1946) (CONG (TRANS _let_1945 (CONG (SYMM _let_1944) (TRANS (SYMM _let_1934) _let_973 _let_956 _let_1501 _let_1457 (CONG (TRANS _let_1134 _let_1143 (TRANS (SYMM (SYMM _let_1983)) (CONG (REFL :args (_let_671)) _let_1553 :args _let_804))) (SYMM _let_1935) :args _let_804)) :args _let_804)) _let_805 :args _let_804) (SYMM _let_1982)) (TRANS _let_1038 (SYMM _let_1969) (SYMM _let_1970) (CONG (TRANS _let_1046 _let_1981) _let_822 :args _let_804)) :args _let_804)) :args _let_804) _let_866 :args _let_804))) (let ((_let_1986 (ASSUME :args (_let_684)))) (let ((_let_1987 (CONG (CONG _let_1984 (TRANS (SYMM _let_1986) _let_1029 _let_1045 _let_1044 _let_1981) :args _let_804) _let_1522 :args _let_804))) (let ((_let_1988 (ASSUME :args (_let_517)))) (let ((_let_1989 (ASSUME :args (_let_781)))) (let ((_let_1990 (ASSUME :args (_let_725)))) (let ((_let_1991 (CONG _let_941 _let_1379 :args _let_804))) (let ((_let_1992 (ASSUME :args (_let_552)))) (let ((_let_1993 (REFL :args (_let_550)))) (let ((_let_1994 (CONG _let_1993 _let_839 :args _let_804))) (let ((_let_1995 (CONG _let_1993 _let_960 :args _let_804))) (let ((_let_1996 (ASSUME :args (_let_448)))) (let ((_let_1997 (ASSUME :args (_let_614)))) (let ((_let_1998 (SYMM _let_943))) (let ((_let_1999 (ASSUME :args (_let_292)))) (let ((_let_2000 (ASSUME :args (_let_449)))) (let ((_let_2001 (ASSUME :args (_let_613)))) (let ((_let_2002 (REFL :args (_let_87)))) (let ((_let_2003 (TRANS _let_908 (SYMM _let_1851)))) (let ((_let_2004 (CONG _let_925 _let_981 :args _let_804))) (let ((_let_2005 (CONG (TRANS (TRANS _let_2004 (SYMM _let_926)) _let_927 _let_2003) _let_1006 :args _let_804))) (let ((_let_2006 (SYMM _let_2005))) (let ((_let_2007 (CONG _let_2002 _let_999 :args _let_804))) (let ((_let_2008 (TRANS (TRANS (CONG _let_905 (TRANS _let_1833 (SYMM _let_1837) _let_1839 _let_1871 _let_909) :args _let_804) _let_915) _let_1162 _let_1161))) (let ((_let_2009 (SYMM _let_2007))) (let ((_let_2010 (ASSUME :args (_let_341)))) (let ((_let_2011 (SYMM _let_2010))) (let ((_let_2012 (REFL :args (_let_339)))) (let ((_let_2013 (ASSUME :args (_let_502)))) (let ((_let_2014 (ASSUME :args (_let_597)))) (let ((_let_2015 (ASSUME :args (_let_507)))) (let ((_let_2016 (SYMM (SYMM _let_2015)))) (let ((_let_2017 (CONG _let_913 _let_833 :args _let_804))) (let ((_let_2018 (CONG _let_822 (TRANS _let_2017 _let_916 _let_1840 _let_1837 _let_1834) :args _let_804))) (let ((_let_2019 (ASSUME :args (_let_349)))) (let ((_let_2020 (SYMM _let_2019))) (let ((_let_2021 (CONG (TRANS _let_942 (CONG _let_868 _let_1884 :args _let_804)) _let_805 :args _let_804))) (let ((_let_2022 (ASSUME :args (_let_151)))) (let ((_let_2023 (ASSUME :args (_let_245)))) (let ((_let_2024 (CONG (REFL :args (_let_148)) _let_1231 :args _let_804))) (let ((_let_2025 (ASSUME :args (_let_417)))) (let ((_let_2026 (ASSUME :args (_let_663)))) (let ((_let_2027 (CONG (TRANS _let_2007 _let_2006 (TRANS _let_2005 (CONG (TRANS (SYMM _let_2003) (TRANS _let_908 _let_1933 _let_1931 (CONG (TRANS _let_1930 (CONG _let_985 (CONG (TRANS _let_1928 (TRANS _let_920 _let_919 _let_913 _let_937 _let_1998 _let_2021 _let_2020 _let_1872 _let_2018 _let_2016 (CONG (REFL :args (_let_505)) _let_1147 :args _let_804))) _let_958 :args _let_804) :args _let_804)) _let_805 :args _let_804) (SYMM _let_2026))) (TRANS _let_994 _let_1242 _let_1248 _let_1247 _let_1185 _let_1070 (SYMM (SYMM _let_2025)) (CONG (CONG _let_2012 (TRANS (CONG (TRANS (TRANS (CONG _let_1177 (TRANS _let_2011 _let_2006 _let_2024) :args _let_804) (SYMM (SYMM _let_2023)) (CONG (CONG _let_822 (TRANS (CONG (SYMM _let_2022) _let_833 :args _let_804) _let_924 _let_922 _let_910 (SYMM _let_2017)) :args _let_804) _let_805 :args _let_804) _let_1839 _let_1871 _let_907) _let_908) _let_857 :args _let_804) _let_920 _let_919 _let_913 _let_937 _let_1998 _let_2021 _let_2020 _let_1872 _let_2018 _let_2016) :args _let_804) _let_1060 :args _let_804)) :args _let_804))) _let_866 :args _let_804))) (let ((_let_2028 (CONG _let_2009 _let_863 :args _let_804))) (let ((_let_2029 (SYMM _let_2028))) (let ((_let_2030 (TRANS (CONG _let_2009 _let_1522 :args _let_804) _let_2029))) (let ((_let_2031 (ASSUME :args (_let_722)))) (let ((_let_2032 (ASSUME :args (_let_588)))) (let ((_let_2033 (ASSUME :args (_let_501)))) (let ((_let_2034 (SYMM (CONG _let_985 (CONG (TRANS (TRANS (CONG (REFL :args (_let_500)) _let_984 :args _let_804) (SYMM _let_2033)) (SYMM (TRANS (CONG _let_2009 _let_960 :args _let_804) _let_2029))) _let_958 :args _let_804) :args _let_804)))) (let ((_let_2035 (CONG _let_1461 (CONG (TRANS (TRANS (CONG _let_2034 _let_1498 :args _let_804) (SYMM (CONG _let_2034 _let_805 :args _let_804)) (SYMM _let_2032) _let_2006) (TRANS _let_2005 _let_2010 (CONG _let_2012 _let_1553 :args _let_804))) _let_1479 :args _let_804) :args _let_804))) (let ((_let_2036 (CONG _let_1526 (CONG (TRANS (TRANS (CONG (SYMM _let_2035) _let_1548 :args _let_804) (CONG _let_2035 _let_805 :args _let_804) (SYMM _let_2031) _let_2014 (SYMM 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_let_1529 _let_1521 _let_1472 _let_1731 _let_1468 _let_1486 _let_1480 _let_1465 _let_2041 _let_1460 _let_952 _let_947 _let_896 _let_1456 _let_1956 _let_1444 _let_1433 _let_1402 _let_1398 _let_1358 _let_1259 _let_1346 _let_1278 _let_1362 _let_1691 _let_1201 _let_1168 _let_1155 _let_2015 _let_1140 _let_1064 _let_1082 _let_1052 _let_1386 _let_1035 _let_1373 _let_1015 _let_1424 _let_1090 _let_1536 _let_1773 _let_1778 _let_1403 _let_1781 _let_1279 _let_1239 _let_1806 _let_1606 _let_1100 _let_1968 _let_1351 _let_1581 _let_1005 _let_1704 _let_1151 _let_802 _let_1937 _let_880 _let_1903 _let_1938 _let_1707 _let_2010 _let_1061 _let_898 _let_1940 _let_1361 _let_1757 _let_1785 _let_1885 _let_1589 _let_1528 _let_1570 _let_1597 _let_837 _let_1718 _let_1318 _let_1183 _let_1783 _let_1447 _let_2025 _let_909 _let_859 _let_2023 _let_1804 _let_1470 _let_1085 _let_969 _let_1163 _let_1721 _let_1117 _let_1075 _let_1335 _let_1866 _let_2013 _let_1127 _let_989 _let_1999 _let_1825 _let_1475 _let_1324 _let_1766 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_let_1948 _let_830 _let_1225 _let_1543 _let_1099 _let_1330 _let_1435 _let_1879 _let_923 _let_1174 _let_1121 _let_1128 _let_1899 _let_1952 _let_846 _let_1765 _let_1753 _let_1423 _let_1801 _let_1098 _let_891 _let_1628 _let_1158 _let_2022 _let_956 _let_2033 _let_1925 _let_1831 _let_1870 _let_1059 _let_1988 _let_1752 _let_1651 _let_1550 _let_1586 _let_1504 _let_1908 _let_1992 _let_1662 _let_1739 _let_1850 _let_1697 _let_1978 _let_2039 _let_1354 _let_1663 _let_1508 _let_1768 _let_1882 _let_1026 _let_1238 _let_1897 _let_977 _let_1224 _let_1936 _let_1525 _let_1715 _let_1555 _let_1755 _let_1499 _let_1860 _let_1690 _let_1924 _let_1410 _let_1285 _let_1079 _let_2014 _let_1926 _let_1880 _let_1230 _let_2032 _let_1629 _let_1189 _let_1267 _let_991 _let_1719 _let_1390 _let_1682 _let_1604 _let_1774 _let_1396 _let_1947 _let_1429 _let_1576 _let_1722 _let_1559 _let_1798 _let_1780 _let_885 _let_1750 _let_1980 _let_1072 _let_1751 _let_2026 _let_1975 _let_1736 _let_1208 _let_1413 _let_1986 _let_1551 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_638 _let_692 _let_23 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_782 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_380 _let_724 _let_765 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_781 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_638 _let_688 _let_23 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_780 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_380 _let_716 _let_765 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_778 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_380 _let_713 _let_765 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_777 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_712 _let_202 _let_706 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_776 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_26 _let_458 _let_660 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_775 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_380 tptp.a3 _let_765 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_773 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_380 _let_337 _let_765 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_772 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_380 _let_18 _let_765 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_771 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_380 _let_26 _let_765 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_770 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_380 _let_14 _let_765 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_769 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_798 :args (_let_380 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_799)) :args _let_797)) _let_798 :args (_let_767 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_795 :args (_let_667 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_796)) :args _let_794))) _let_795 :args (_let_764 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_795 :args (_let_604 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_796)) :args _let_794))) _let_795 :args (_let_763 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_787 :args (_let_761 _let_542 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_793)) :args _let_786)) _let_787 :args (_let_762 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_628 tptp.b3 _let_23 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_760 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (tptp.a3 tptp.a3 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_759 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_692 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_758 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_688 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_757 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_679 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_756 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_676 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_755 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_673 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_754 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_671 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_753 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_670 _let_666 _let_669 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_752 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_667 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_751 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_661 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_750 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_646 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_749 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_644 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_748 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_642 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_747 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_639 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_746 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_637 _let_307 _let_636 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_745 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_633 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_744 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_631 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_743 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_628 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_742 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_604 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_741 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (tptp.identity _let_739 _let_520 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_740 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_273 _let_530 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_738 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_673 _let_542 _let_23 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_736 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_574 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_735 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_679 _let_465 _let_23 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_734 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_569 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_733 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_300 _let_465 _let_286 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_732 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_470 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_730 false _let_789)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_790 :args (_let_202 _let_465 _let_564 QUANTIFIERS_INST_E_MATCHING _let_792)) :args _let_791)) _let_790 :args (_let_729 false 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% 2.54/2.78 )
% 2.54/2.79 % SZS output end Proof for GRP571-1
% 2.54/2.79 % cvc5---1.0.5 exiting
% 2.54/2.80 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------