TSTP Solution File: ALG006-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG006-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 : Wed Aug 30 16:07:49 EDT 2023

% Result   : Unsatisfiable 4.98s 5.21s
% Output   : Proof 4.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ALG006-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 06:03:10 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Zg9NhmIG9j/cvc5---1.0.5_4927.p...
% 0.20/0.49  ------- get file name : TPTP file name is ALG006-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4927.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 4.98/5.21  % SZS status Unsatisfiable for ALG006-1
% 4.98/5.21  % SZS output start Proof for ALG006-1
% 4.98/5.32  (
% 4.98/5.32  (let ((_let_1 (tptp.difference tptp.a tptp.b))) (let ((_let_2 (tptp.difference _let_1 tptp.c))) (let ((_let_3 (tptp.difference tptp.a tptp.c))) (let ((_let_4 (tptp.difference _let_3 tptp.b))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.difference (tptp.difference X Y) Z) (tptp.difference (tptp.difference X Z) (tptp.difference Y Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.difference X (tptp.difference X Y)) (tptp.difference Y (tptp.difference Y X)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.difference X (tptp.difference Y X)) X)))) (let ((_let_10 (tptp.difference tptp.c _let_3))) (let ((_let_11 (= tptp.c _let_10))) (let ((_let_12 (tptp.difference tptp.b _let_1))) (let ((_let_13 (= tptp.b _let_12))) (let ((_let_14 (tptp.difference tptp.b _let_4))) (let ((_let_15 (= tptp.b _let_14))) (let ((_let_16 (tptp.difference tptp.c _let_2))) (let ((_let_17 (= tptp.c _let_16))) (let ((_let_18 (tptp.difference tptp.b tptp.c))) (let ((_let_19 (tptp.difference _let_3 _let_18))) (let ((_let_20 (= _let_2 _let_19))) (let ((_let_21 (tptp.difference tptp.c tptp.b))) (let ((_let_22 (tptp.difference _let_1 _let_21))) (let ((_let_23 (= _let_4 _let_22))) (let ((_let_24 (tptp.difference tptp.b _let_21))) (let ((_let_25 (= tptp.b _let_24))) (let ((_let_26 (tptp.difference _let_3 _let_10))) (let ((_let_27 (= _let_3 _let_26))) (let ((_let_28 (tptp.difference _let_2 _let_16))) (let ((_let_29 (= _let_2 _let_28))) (let ((_let_30 (tptp.difference tptp.c _let_18))) (let ((_let_31 (= tptp.c _let_30))) (let ((_let_32 (tptp.difference _let_4 _let_14))) (let ((_let_33 (= _let_4 _let_32))) (let ((_let_34 (tptp.difference _let_1 _let_12))) (let ((_let_35 (= _let_1 _let_34))) (let ((_let_36 (tptp.difference _let_18 _let_19))) (let ((_let_37 (= _let_18 _let_36))) (let ((_let_38 (tptp.difference _let_21 _let_22))) (let ((_let_39 (= _let_21 _let_38))) (let ((_let_40 (tptp.difference _let_2 _let_3))) (let ((_let_41 (tptp.difference _let_10 _let_40))) (let ((_let_42 (= (tptp.difference _let_16 _let_3) _let_41))) (let ((_let_43 (tptp.difference _let_4 _let_1))) (let ((_let_44 (tptp.difference _let_12 _let_43))) (let ((_let_45 (= (tptp.difference _let_14 _let_1) _let_44))) (let ((_let_46 (tptp.difference _let_4 _let_4))) (let ((_let_47 (tptp.difference _let_14 _let_46))) (let ((_let_48 (tptp.difference _let_14 _let_4))) (let ((_let_49 (= _let_48 _let_47))) (let ((_let_50 (tptp.difference _let_2 _let_2))) (let ((_let_51 (tptp.difference _let_16 _let_50))) (let ((_let_52 (tptp.difference _let_16 _let_2))) (let ((_let_53 (= _let_52 _let_51))) (let ((_let_54 (tptp.difference _let_4 tptp.c))) (let ((_let_55 (tptp.difference _let_18 _let_54))) (let ((_let_56 (tptp.difference _let_14 tptp.c))) (let ((_let_57 (= _let_56 _let_55))) (let ((_let_58 (tptp.difference tptp.a _let_18))) (let ((_let_59 (= _let_19 (tptp.difference _let_58 _let_30)))) (let ((_let_60 (tptp.difference _let_2 tptp.b))) (let ((_let_61 (tptp.difference _let_21 _let_60))) (let ((_let_62 (tptp.difference _let_16 tptp.b))) (let ((_let_63 (= _let_62 _let_61))) (let ((_let_64 (tptp.difference tptp.a _let_21))) (let ((_let_65 (= _let_22 (tptp.difference _let_64 _let_24)))) (let ((_let_66 (tptp.difference _let_18 _let_58))) (let ((_let_67 (= _let_18 _let_66))) (let ((_let_68 (tptp.difference _let_21 _let_64))) (let ((_let_69 (= _let_21 _let_68))) (let ((_let_70 (= _let_40 (tptp.difference _let_40 _let_41)))) (let ((_let_71 (tptp.difference _let_50 _let_51))) (let ((_let_72 (= _let_50 _let_71))) (let ((_let_73 (= _let_43 (tptp.difference _let_43 _let_44)))) (let ((_let_74 (tptp.difference _let_46 _let_47))) (let ((_let_75 (= _let_46 _let_74))) (let ((_let_76 (tptp.difference _let_4 _let_46))) (let ((_let_77 (= _let_4 _let_76))) (let ((_let_78 (tptp.difference _let_1 _let_43))) (let ((_let_79 (= _let_1 _let_78))) (let ((_let_80 (tptp.difference _let_3 _let_40))) (let ((_let_81 (= _let_3 _let_80))) (let ((_let_82 (tptp.difference _let_2 _let_50))) (let ((_let_83 (= _let_2 _let_82))) (let ((_let_84 (tptp.difference _let_19 _let_36))) (let ((_let_85 (= _let_19 _let_84))) (let ((_let_86 (tptp.difference _let_22 _let_38))) (let ((_let_87 (= _let_22 _let_86))) (let ((_let_88 (= (tptp.difference _let_4 _let_32) (tptp.difference _let_14 _let_48)))) (let ((_let_89 (= (tptp.difference _let_2 _let_28) (tptp.difference _let_16 _let_52)))) (let ((_let_90 (tptp.difference _let_46 tptp.c))) (let ((_let_91 (= (tptp.difference _let_47 tptp.c) (tptp.difference _let_56 _let_90)))) (let ((_let_92 (tptp.difference _let_50 tptp.b))) (let ((_let_93 (= (tptp.difference _let_51 tptp.b) (tptp.difference _let_62 _let_92)))) (let ((_let_94 (tptp.difference tptp.c _let_10))) (let ((_let_95 (tptp.difference tptp.a _let_10))) (let ((_let_96 (tptp.difference _let_95 _let_94))) (let ((_let_97 (= _let_26 _let_96))) (let ((_let_98 (tptp.difference tptp.b _let_12))) (let ((_let_99 (tptp.difference tptp.a _let_12))) (let ((_let_100 (tptp.difference _let_99 _let_98))) (let ((_let_101 (= _let_34 _let_100))) (let ((_let_102 (tptp.difference _let_54 _let_19))) (let ((_let_103 (tptp.difference _let_36 _let_102))) (let ((_let_104 (= (tptp.difference _let_55 _let_19) _let_103))) (let ((_let_105 (= (tptp.difference _let_61 _let_22) (tptp.difference _let_38 (tptp.difference _let_60 _let_22))))) (let ((_let_106 (tptp.difference _let_1 _let_3))) (let ((_let_107 (= _let_40 (tptp.difference _let_106 _let_10)))) (let ((_let_108 (tptp.difference _let_50 _let_40))) (let ((_let_109 (= (tptp.difference _let_51 _let_40) (tptp.difference (tptp.difference _let_16 _let_40) _let_108)))) (let ((_let_110 (tptp.difference _let_3 _let_1))) (let ((_let_111 (= _let_43 (tptp.difference _let_110 _let_12)))) (let ((_let_112 (tptp.difference _let_46 _let_46))) (let ((_let_113 (tptp.difference _let_47 _let_112))) (let ((_let_114 (tptp.difference _let_47 _let_46))) (let ((_let_115 (= _let_114 _let_113))) (let ((_let_116 (tptp.difference _let_50 _let_50))) (let ((_let_117 (tptp.difference _let_51 _let_116))) (let ((_let_118 (tptp.difference _let_51 _let_50))) (let ((_let_119 (= _let_118 _let_117))) (let ((_let_120 (tptp.difference _let_3 tptp.c))) (let ((_let_121 (= _let_54 (tptp.difference _let_120 _let_18)))) (let ((_let_122 (tptp.difference _let_1 tptp.b))) (let ((_let_123 (= _let_60 (tptp.difference _let_122 _let_21)))) (let ((_let_124 (tptp.difference tptp.b _let_58))) (let ((_let_125 (tptp.difference _let_124 tptp.c))) (let ((_let_126 (= _let_125 (tptp.difference _let_18 (tptp.difference _let_58 tptp.c))))) (let ((_let_127 (tptp.difference tptp.c _let_64))) (let ((_let_128 (tptp.difference _let_127 tptp.b))) (let ((_let_129 (= _let_128 (tptp.difference _let_21 (tptp.difference _let_64 tptp.b))))) (let ((_let_130 (tptp.difference _let_1 tptp.a))) (let ((_let_131 (tptp.difference _let_130 tptp.c))) (let ((_let_132 (= _let_40 _let_131))) (let ((_let_133 (tptp.difference _let_3 tptp.a))) (let ((_let_134 (tptp.difference _let_133 tptp.b))) (let ((_let_135 (= _let_43 _let_134))) (let ((_let_136 (tptp.difference _let_3 _let_3))) (let ((_let_137 (tptp.difference _let_136 tptp.b))) (let ((_let_138 (= _let_46 _let_137))) (let ((_let_139 (tptp.difference _let_1 _let_1))) (let ((_let_140 (tptp.difference _let_139 tptp.c))) (let ((_let_141 (= _let_50 _let_140))) (let ((_let_142 (tptp.difference _let_64 _let_127))) (let ((_let_143 (= _let_64 _let_142))) (let ((_let_144 (tptp.difference _let_58 _let_124))) (let ((_let_145 (= _let_58 _let_144))) (let ((_let_146 (tptp.difference _let_1 _let_110))) (let ((_let_147 (= _let_1 _let_146))) (let ((_let_148 (= _let_94 (tptp.difference _let_94 _let_96)))) (let ((_let_149 (= _let_46 (tptp.difference _let_46 _let_76)))) (let ((_let_150 (tptp.difference tptp.a _let_130))) (let ((_let_151 (= tptp.a _let_150))) (let ((_let_152 (tptp.difference _let_3 _let_106))) (let ((_let_153 (= _let_3 _let_152))) (let ((_let_154 (= _let_98 (tptp.difference _let_98 _let_100)))) (let ((_let_155 (= _let_50 (tptp.difference _let_50 _let_82)))) (let ((_let_156 (tptp.difference _let_58 _let_66))) (let ((_let_157 (= _let_58 _let_156))) (let ((_let_158 (= _let_102 (tptp.difference _let_102 _let_103)))) (let ((_let_159 (tptp.difference _let_64 _let_68))) (let ((_let_160 (= _let_64 _let_159))) (let ((_let_161 (= (tptp.difference _let_4 (tptp.difference _let_4 _let_38)) (tptp.difference _let_38 (tptp.difference _let_38 _let_4))))) (let ((_let_162 (= (tptp.difference _let_2 (tptp.difference _let_2 _let_36)) (tptp.difference _let_36 (tptp.difference _let_36 _let_2))))) (let ((_let_163 (= (tptp.difference _let_46 _let_74) (tptp.difference _let_47 _let_114)))) (let ((_let_164 (= (tptp.difference _let_50 _let_71) (tptp.difference _let_51 _let_118)))) (let ((_let_165 (= (tptp.difference _let_3 (tptp.difference _let_3 _let_94)) (tptp.difference _let_94 (tptp.difference _let_94 _let_3))))) (let ((_let_166 (= (tptp.difference _let_1 (tptp.difference _let_1 _let_98)) (tptp.difference _let_98 (tptp.difference _let_98 _let_1))))) (let ((_let_167 (tptp.difference _let_38 tptp.c))) (let ((_let_168 (= (tptp.difference _let_86 tptp.c) (tptp.difference (tptp.difference _let_22 tptp.c) _let_167)))) (let ((_let_169 (tptp.difference _let_36 tptp.b))) (let ((_let_170 (= (tptp.difference _let_84 tptp.b) (tptp.difference (tptp.difference _let_19 tptp.b) _let_169)))) (let ((_let_171 (tptp.difference tptp.c _let_41))) (let ((_let_172 (tptp.difference _let_130 _let_41))) (let ((_let_173 (tptp.difference _let_172 _let_171))) (let ((_let_174 (= (tptp.difference _let_131 _let_41) _let_173))) (let ((_let_175 (tptp.difference tptp.b _let_44))) (let ((_let_176 (tptp.difference _let_133 _let_44))) (let ((_let_177 (tptp.difference _let_176 _let_175))) (let ((_let_178 (= (tptp.difference _let_134 _let_44) _let_177))) (let ((_let_179 (tptp.difference _let_116 _let_108))) (let ((_let_180 (tptp.difference _let_51 _let_108))) (let ((_let_181 (tptp.difference _let_180 _let_179))) (let ((_let_182 (= (tptp.difference _let_117 _let_108) _let_181))) (let ((_let_183 (tptp.difference _let_112 _let_58))) (let ((_let_184 (tptp.difference _let_47 _let_58))) (let ((_let_185 (tptp.difference _let_184 _let_183))) (let ((_let_186 (= (tptp.difference _let_113 _let_58) _let_185))) (let ((_let_187 (tptp.difference _let_116 _let_64))) (let ((_let_188 (tptp.difference _let_51 _let_64))) (let ((_let_189 (tptp.difference _let_188 _let_187))) (let ((_let_190 (= (tptp.difference _let_117 _let_64) _let_189))) (let ((_let_191 (tptp.difference tptp.b tptp.a))) (let ((_let_192 (tptp.difference tptp.a tptp.a))) (let ((_let_193 (tptp.difference _let_192 _let_191))) (let ((_let_194 (= _let_130 _let_193))) (let ((_let_195 (tptp.difference tptp.c tptp.a))) (let ((_let_196 (tptp.difference _let_192 _let_195))) (let ((_let_197 (= _let_133 _let_196))) (let ((_let_198 (tptp.difference _let_1 _let_124))) (let ((_let_199 (tptp.difference _let_198 tptp.c))) (let ((_let_200 (= _let_199 (tptp.difference _let_2 _let_125)))) (let ((_let_201 (tptp.difference _let_3 _let_127))) (let ((_let_202 (tptp.difference _let_201 tptp.b))) (let ((_let_203 (= _let_202 (tptp.difference _let_4 _let_128)))) (let ((_let_204 (tptp.difference _let_124 _let_46))) (let ((_let_205 (tptp.difference _let_204 tptp.c))) (let ((_let_206 (= (tptp.difference _let_125 _let_90) _let_205))) (let ((_let_207 (tptp.difference _let_127 _let_50))) (let ((_let_208 (tptp.difference _let_207 tptp.b))) (let ((_let_209 (= (tptp.difference _let_128 _let_92) _let_208))) (let ((_let_210 (tptp.difference _let_139 _let_124))) (let ((_let_211 (tptp.difference _let_210 tptp.c))) (let ((_let_212 (= _let_211 (tptp.difference _let_140 _let_125)))) (let ((_let_213 (tptp.difference _let_139 _let_130))) (let ((_let_214 (= (tptp.difference _let_213 tptp.c) (tptp.difference _let_140 _let_131)))) (let ((_let_215 (tptp.difference _let_136 _let_133))) (let ((_let_216 (= (tptp.difference _let_215 tptp.b) (tptp.difference _let_137 _let_134)))) (let ((_let_217 (tptp.difference _let_192 tptp.c))) (let ((_let_218 (= _let_136 _let_217))) (let ((_let_219 (tptp.difference _let_192 tptp.b))) (let ((_let_220 (= _let_139 _let_219))) (let ((_let_221 (tptp.difference tptp.a _let_192))) (let ((_let_222 (= tptp.a _let_221))) (let ((_let_223 (= _let_98 (tptp.difference _let_98 (tptp.difference tptp.a _let_98))))) (let ((_let_224 (= _let_94 (tptp.difference _let_94 (tptp.difference tptp.a _let_94))))) (let ((_let_225 (= _let_130 (tptp.difference _let_130 _let_150)))) (let ((_let_226 (tptp.difference tptp.a _let_124))) (let ((_let_227 (tptp.difference _let_124 _let_226))) (let ((_let_228 (= _let_124 _let_227))) (let ((_let_229 (tptp.difference tptp.a _let_127))) (let ((_let_230 (tptp.difference _let_127 _let_229))) (let ((_let_231 (= _let_127 _let_230))) (let ((_let_232 (tptp.difference tptp.a _let_195))) (let ((_let_233 (= tptp.a _let_232))) (let ((_let_234 (tptp.difference tptp.c _let_4))) (let ((_let_235 (tptp.difference _let_4 _let_234))) (let ((_let_236 (= _let_4 _let_235))) (let ((_let_237 (tptp.difference tptp.a _let_191))) (let ((_let_238 (= tptp.a _let_237))) (let ((_let_239 (tptp.difference tptp.b _let_2))) (let ((_let_240 (tptp.difference _let_2 _let_239))) (let ((_let_241 (= _let_2 _let_240))) (let ((_let_242 (= _let_106 (tptp.difference _let_106 _let_152)))) (let ((_let_243 (= _let_110 (tptp.difference _let_110 _let_146)))) (let ((_let_244 (= _let_124 (tptp.difference _let_124 _let_198)))) (let ((_let_245 (= _let_171 (tptp.difference _let_171 _let_173)))) (let ((_let_246 (= _let_175 (tptp.difference _let_175 _let_177)))) (let ((_let_247 (tptp.difference tptp.b _let_169))) (let ((_let_248 (= tptp.b _let_247))) (let ((_let_249 (= _let_124 (tptp.difference _let_124 _let_144)))) (let ((_let_250 (tptp.difference tptp.c _let_167))) (let ((_let_251 (= tptp.c _let_250))) (let ((_let_252 (= _let_127 (tptp.difference _let_127 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(let ((_let_1411 (ASSUME :args (_let_511)))) (let ((_let_1412 (CONG (TRANS (SYMM _let_1411) (SYMM _let_1410) _let_1262) _let_1409 :args _let_665))) (let ((_let_1413 (ASSUME :args (_let_631)))) (let ((_let_1414 (SYMM _let_1413))) (let ((_let_1415 (ASSUME :args (_let_409)))) (let ((_let_1416 (CONG (SYMM (SYMM _let_1415)) _let_1409 :args _let_665))) (let ((_let_1417 (ASSUME :args (_let_111)))) (let ((_let_1418 (SYMM _let_1417))) (let ((_let_1419 (SYMM _let_1257))) (let ((_let_1420 (CONG (REFL :args (_let_630)) (TRANS _let_812 _let_809 _let_806 _let_1254 _let_1045 _let_1253 _let_1048 _let_1255 _let_1419 _let_1259 _let_894 _let_872 _let_893 _let_731 _let_728 _let_725 _let_779 _let_769 _let_772 _let_882 _let_878 _let_881 _let_883 _let_1295 _let_887 _let_781 _let_754 _let_751 _let_697 _let_695 _let_760 _let_687 _let_759 _let_758 _let_712 _let_757 _let_717 _let_756 _let_755 _let_737 (SYMM _let_1418) _let_1416) :args _let_665))) (let ((_let_1421 (ASSUME :args (_let_266)))) (let ((_let_1422 (ASSUME :args (_let_416)))) (let ((_let_1423 (CONG (REFL :args (_let_264)) _let_1421 :args _let_665))) (let ((_let_1424 (ASSUME :args (_let_606)))) (let ((_let_1425 (ASSUME :args (_let_460)))) (let ((_let_1426 (SYMM _let_1423))) (let ((_let_1427 (CONG (TRANS _let_1422 _let_1426) (TRANS _let_706 _let_672 _let_760 _let_687 _let_759 _let_758 _let_712 _let_757 (CONG _let_708 _let_1421 :args _let_665) (SYMM (SYMM _let_1425))) :args _let_665))) (let ((_let_1428 (CONG (CONG _let_1308 _let_708 :args _let_665) (TRANS (SYMM _let_1416) _let_1418 _let_738 _let_735 _let_733 _let_718 _let_716 _let_713 _let_710 _let_690 _let_688 _let_685 _let_673 _let_671) :args _let_665))) (let ((_let_1429 (TRANS _let_1414 _let_1412 _let_704))) (let ((_let_1430 (ASSUME :args (_let_632)))) (let ((_let_1431 (CONG _let_1337 (TRANS _let_779 _let_769 _let_772 _let_882 _let_878 _let_881 _let_883 _let_1295 _let_887 _let_781 _let_754 _let_751 _let_697 _let_695 _let_673 _let_671 _let_1334) :args _let_665))) (let ((_let_1432 (TRANS _let_1337 (TRANS _let_1331 (SYMM _let_1431)) (TRANS _let_1431 _let_1332 _let_1330 _let_1329 _let_1323 _let_1322 _let_1319 _let_1316 _let_716 _let_713 _let_710 _let_690 _let_688 _let_685 _let_673 _let_671) _let_891 _let_895))) (let ((_let_1433 (CONG _let_1432 _let_991 :args _let_665))) (let ((_let_1434 (CONG _let_1339 _let_991 :args _let_665))) (let ((_let_1435 (ASSUME :args (_let_619)))) (let ((_let_1436 (ASSUME :args (_let_522)))) (let ((_let_1437 (SYMM (SYMM _let_1436)))) (let ((_let_1438 (CONG _let_1301 _let_991 :args _let_665))) (let ((_let_1439 (REFL :args (_let_519)))) (let ((_let_1440 (CONG (TRANS _let_1434 (TRANS _let_1433 _let_718 _let_716 _let_713 _let_710 _let_690 _let_688 _let_685 _let_673 _let_671) _let_891 _let_895) (TRANS (CONG _let_1439 (TRANS _let_1438 _let_1437) :args _let_665) (SYMM _let_1435) _let_1434 _let_1433 _let_718 _let_716 _let_713 _let_710 _let_690 _let_688 _let_685 _let_673 _let_671) :args _let_665))) (let ((_let_1441 (ASSUME :args (_let_625)))) (let 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(ASSUME :args (_let_376)))) (let ((_let_1459 (ASSUME :args (_let_508)))) (let ((_let_1460 (SYMM _let_1224))) (let ((_let_1461 (CONG _let_1309 _let_869 :args _let_665))) (let ((_let_1462 (CONG _let_1461 _let_1020 :args _let_665))) (let ((_let_1463 (CONG _let_1302 _let_869 :args _let_665))) (let ((_let_1464 (ASSUME :args (_let_537)))) (let ((_let_1465 (SYMM _let_1464))) (let ((_let_1466 (TRANS _let_1465 _let_1463))) (let ((_let_1467 (SYMM _let_1223))) (let ((_let_1468 (SYMM _let_1219))) (let ((_let_1469 (SYMM _let_1450))) (let ((_let_1470 (SYMM _let_1449))) (let ((_let_1471 (SYMM _let_1461))) (let ((_let_1472 (CONG _let_1471 (REFL :args (_let_536)) :args _let_665))) (let ((_let_1473 (SYMM _let_1466))) (let ((_let_1474 (SYMM _let_1357))) (let ((_let_1475 (SYMM _let_1356))) (let ((_let_1476 (TRANS _let_1352 _let_1475 _let_1474 _let_1471))) (let ((_let_1477 (SYMM _let_1350))) (let ((_let_1478 (SYMM _let_1346))) (let ((_let_1479 (SYMM _let_1340))) (let ((_let_1480 (SYMM _let_1338))) (let 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_let_1488 _let_1350 _let_1349 _let_1346 _let_1340 _let_1338 _let_1332 _let_1330 _let_1329 _let_1323 _let_1322 _let_1319 _let_1316 _let_716 _let_713 _let_710 _let_690 _let_688 _let_685 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877) :args _let_665) (CONG _let_1456 (TRANS _let_773 _let_770 _let_767 _let_875 _let_727 _let_730 _let_874 _let_873 _let_863 _let_1260 _let_1257 _let_1256 _let_1049 _let_1047 _let_1046 _let_1038 _let_834 _let_808 _let_955 _let_939 _let_947 _let_946 _let_1240 _let_1239 (SYMM (SYMM _let_1493)) (CONG (TRANS (TRANS (CONG _let_1307 _let_1237 :args _let_665) (CONG _let_1492 _let_1460 :args _let_665) _let_1491 _let_1488 _let_1350 _let_1349 _let_1346 _let_1340 _let_1338 _let_1332 _let_1330 _let_1329 _let_1323 _let_1322 _let_1319 _let_1316 _let_716 _let_713 _let_710 _let_690 _let_688 _let_685 _let_673 _let_671) _let_1483 _let_1481 _let_1485) (REFL :args (_let_494)) :args _let_665) (CONG (TRANS _let_1486 _let_1482 _let_1484 (TRANS _let_706 _let_672 _let_760 _let_687 _let_759 _let_758 _let_712 _let_757 _let_1315 _let_1368 _let_1321 _let_1367 _let_1366 _let_1365 _let_1331 _let_1480 _let_1479 _let_1478 _let_1348 _let_1477 (CONG _let_1476 _let_1476 :args _let_665) (CONG _let_1461 _let_1461 :args _let_665) (CONG _let_1363 (TRANS (SYMM _let_1463) _let_1464 (SYMM _let_1472)) :args _let_665) (CONG _let_1473 (TRANS _let_1472 _let_1465 _let_1463 _let_1357 _let_1356 _let_1353 _let_1470 _let_1469 _let_1468 _let_1221 _let_1467 _let_1021 _let_1017) :args _let_665) (CONG _let_1466 _let_1020 :args _let_665) (SYMM _let_1462)) _let_1462) (CONG _let_1085 _let_1460 :args _let_665) :args _let_665) (SYMM _let_1459) (CONG (TRANS (SYMM (SYMM _let_1458)) (CONG (TRANS _let_1232 _let_1087) (TRANS _let_847 _let_1040 _let_800 _let_1039 _let_957 _let_824 _let_956 _let_808 _let_955 _let_1089 (SYMM _let_1457)) :args _let_665) (CONG (TRANS (SYMM _let_1087) _let_924) _let_1457 :args _let_665) _let_1083 (SYMM _let_1088) _let_923) 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(SYMM _let_1621)) _let_804 :args _let_665) _let_1250 _let_1554))) (let ((_let_1623 (ASSUME :args (_let_501)))) (let ((_let_1624 (ASSUME :args (_let_613)))) (let ((_let_1625 (REFL :args (_let_10)))) (let ((_let_1626 (ASSUME :args (_let_153)))) (let ((_let_1627 (SYMM _let_1626))) (let ((_let_1628 (ASSUME :args (_let_305)))) (let ((_let_1629 (ASSUME :args (_let_514)))) (let ((_let_1630 (CONG (TRANS (SYMM _let_1629) (SYMM _let_1628) _let_1627) _let_1625 :args _let_665))) (let ((_let_1631 (ASSUME :args (_let_629)))) (let ((_let_1632 (SYMM _let_1631))) (let ((_let_1633 (ASSUME :args (_let_399)))) (let ((_let_1634 (CONG (SYMM (SYMM _let_1633)) _let_1625 :args _let_665))) (let ((_let_1635 (ASSUME :args (_let_107)))) (let ((_let_1636 (SYMM _let_1635))) (let ((_let_1637 (CONG (REFL :args (_let_628)) (TRANS _let_706 _let_672 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877 _let_773 _let_770 _let_767 _let_875 _let_727 _let_730 _let_874 _let_873 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(ASSUME :args (_let_281)))) (let ((_let_1653 (SYMM _let_1652))) (let ((_let_1654 (REFL :args (_let_106)))) (let ((_let_1655 (ASSUME :args (_let_242)))) (let ((_let_1656 (CONG _let_1654 (TRANS (SYMM (SYMM _let_1655)) (CONG _let_1654 _let_1627 :args _let_665)) :args _let_665))) (let ((_let_1657 (ASSUME :args (_let_559)))) (let ((_let_1658 (SYMM _let_1657))) (let ((_let_1659 (SYMM _let_1658))) (let ((_let_1660 (CONG (SYMM _let_1610) _let_798 :args _let_665))) (let ((_let_1661 (CONG _let_897 _let_798 :args _let_665))) (let ((_let_1662 (CONG _let_1179 _let_1639 :args _let_665))) (let ((_let_1663 (CONG _let_1169 _let_1638 :args _let_665))) (let ((_let_1664 (CONG _let_1175 _let_798 :args _let_665))) (let ((_let_1665 (CONG _let_1113 _let_798 :args _let_665))) (let ((_let_1666 (ASSUME :args (_let_350)))) (let ((_let_1667 (SYMM _let_1666))) (let ((_let_1668 (CONG _let_1642 (TRANS _let_1667 _let_1665 _let_1640 _let_1649) :args _let_665))) (let ((_let_1669 (CONG _let_1378 _let_798 :args _let_665))) (let ((_let_1670 (ASSUME :args (_let_531)))) (let ((_let_1671 (SYMM _let_1670))) (let ((_let_1672 (TRANS _let_1667 _let_1665))) (let ((_let_1673 (CONG (REFL :args (_let_530)) _let_1672 :args _let_665))) (let ((_let_1674 (SYMM (TRANS _let_1671 _let_1669)))) (let ((_let_1675 (CONG (TRANS (CONG _let_1674 _let_1674 :args _let_665) (CONG (SYMM _let_1673) (TRANS _let_1671 _let_1669 _let_1663 _let_1662 _let_1661 _let_1660 _let_1659 _let_1656 _let_1653 _let_1651 _let_1648 _let_1647 (SYMM _let_1668)) :args _let_665) (CONG (TRANS _let_1673 _let_1671 _let_1669) (TRANS _let_1668 _let_1646 (SYMM _let_1648) _let_1040 _let_800 _let_1039 _let_957 _let_824 _let_956 _let_808 _let_955) :args _let_665) (CONG (TRANS (SYMM _let_1664) (TRANS _let_1664 _let_1663 _let_1662 _let_1661 _let_1660 _let_1659 _let_1656 _let_1653 _let_1651 _let_1040 _let_800 _let_1039 _let_957 _let_824 _let_956 _let_808 _let_955)) _let_822 :args _let_665) _let_957 _let_824 _let_956 _let_808 _let_955) _let_1639 :args _let_665))) (let ((_let_1676 (TRANS (CONG _let_1672 (REFL :args (_let_275)) :args _let_665) _let_1641))) (let ((_let_1677 (CONG _let_1676 (TRANS _let_1675 (SYMM _let_815) _let_817 _let_834 _let_808 _let_955) :args _let_665))) (let ((_let_1678 (CONG (SYMM _let_1676) (TRANS _let_1165 _let_1164 _let_1161 _let_1158 _let_1157 _let_1105 _let_1103 _let_1068 _let_1054 _let_1052 _let_986 _let_984 _let_706 _let_672 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877 _let_773 _let_770 _let_767 _let_875 _let_727 _let_730 _let_874 _let_873 _let_863 _let_1260 _let_1257 _let_1256 _let_1049 _let_1047 _let_1046 _let_1038 _let_818 _let_815 (SYMM _let_1675)) :args _let_665))) (let ((_let_1679 (CONG (CONG _let_1206 _let_798 :args _let_665) (TRANS (SYMM _let_1634) _let_1636 _let_962 _let_842 _let_844 _let_847 _let_1040 _let_800 _let_1039 _let_957 _let_824 _let_956 _let_806 _let_1254 _let_1045 _let_1253 _let_1048 _let_1255 _let_1419 _let_1259 _let_894 _let_872 _let_893 _let_731 _let_728 _let_725 _let_779 _let_769 _let_772 _let_882 _let_878 _let_881 _let_883 _let_1295 _let_887 _let_781 _let_754 _let_751 _let_697 _let_695 _let_673 _let_671 _let_1059 _let_985 _let_1058 _let_1053 _let_1396 _let_1395 _let_1394 _let_1393 _let_1392 _let_1160 _let_1163 _let_1377) :args _let_665))) (let ((_let_1680 (TRANS _let_1632 _let_1630 _let_792))) (let ((_let_1681 (ASSUME :args (_let_322)))) (let ((_let_1682 (SYMM _let_1206))) (let ((_let_1683 (ASSUME :args (_let_574)))) (let ((_let_1684 (TRANS (SYMM (SYMM _let_1683)) (CONG (TRANS _let_1134 _let_1143 (CONG _let_1682 _let_1000 :args _let_665)) (REFL :args (_let_321)) :args _let_665) (SYMM _let_1681) (CONG _let_1113 _let_1000 :args _let_665) _let_1136 _let_1135))) (let ((_let_1685 (ASSUME :args (_let_633)))) (let ((_let_1686 (ASSUME :args (_let_611)))) (let ((_let_1687 (SYMM _let_1686))) (let ((_let_1688 (CONG _let_798 (TRANS _let_706 _let_672 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877 _let_773 _let_770 _let_767 _let_875 _let_727 _let_730 _let_874 _let_873 _let_863 _let_1260 _let_1257 _let_1256 _let_1049 _let_1047 _let_1046 _let_1038 _let_834 _let_833 _let_825 _let_823 _let_819 _let_801 _let_799 (SYMM _let_1651) _let_1652 (SYMM _let_1656) _let_1658 (SYMM _let_1660) (SYMM _let_1661) (CONG _let_1490 _let_798 :args _let_665)) :args _let_665))) (let ((_let_1689 (CONG _let_1274 _let_822 :args _let_665))) (let ((_let_1690 (CONG _let_1175 _let_822 :args _let_665))) (let ((_let_1691 (CONG (TRANS (SYMM _let_1690) (TRANS _let_1690 _let_1181 _let_1180 _let_1049 _let_1047 _let_1046 _let_1038 _let_834 _let_808 _let_955)) _let_1689 :args _let_665))) (let ((_let_1692 (TRANS _let_802 _let_829 _let_828 (SYMM _let_1689)))) (let ((_let_1693 (CONG _let_1190 _let_1692 :args _let_665))) (let ((_let_1694 (ASSUME :args (_let_618)))) (let ((_let_1695 (ASSUME :args (_let_518)))) (let ((_let_1696 (SYMM (SYMM _let_1695)))) (let ((_let_1697 (CONG _let_1189 _let_1085 :args _let_665))) (let ((_let_1698 (REFL :args (_let_515)))) (let ((_let_1699 (CONG (TRANS _let_1693 _let_1691 _let_821) (TRANS (CONG _let_1698 (TRANS _let_1697 _let_1696) :args _let_665) (SYMM _let_1694) _let_1693 _let_1691 _let_821) :args _let_665))) (let ((_let_1700 (ASSUME :args (_let_627)))) (let ((_let_1701 (SYMM _let_1700))) (let ((_let_1702 (CONG (REFL :args (_let_626)) (TRANS _let_1697 _let_1696 (CONG (CONG _let_1207 _let_1085 :args _let_665) _let_1698 :args _let_665)) :args _let_665))) (let ((_let_1703 (CONG _let_1194 _let_796 :args _let_665))) (let ((_let_1704 (CONG _let_1128 _let_1043 :args _let_665))) (let ((_let_1705 (SYMM _let_1704))) (let ((_let_1706 (ASSUME :args (_let_422)))) (let ((_let_1707 (SYMM _let_1706))) (let ((_let_1708 (ASSUME :args (_let_598)))) (let ((_let_1709 (ASSUME :args (_let_581)))) (let ((_let_1710 (SYMM _let_1709))) (let ((_let_1711 (ASSUME :args (_let_81)))) (let ((_let_1712 (SYMM _let_1711))) (let ((_let_1713 (SYMM _let_1712))) (let ((_let_1714 (CONG _let_1713 (CONG _let_1128 _let_1042 :args _let_665) :args _let_665))) (let ((_let_1715 (CONG (TRANS _let_1399 _let_1042) (TRANS _let_1714 _let_1710) :args _let_665))) (let ((_let_1716 (ASSUME :args (_let_414)))) (let ((_let_1717 (TRANS (TRANS (CONG _let_1209 (REFL :args (_let_413)) :args _let_665) (SYMM _let_1716) _let_1705) _let_1704))) (let ((_let_1718 (CONG _let_1717 (TRANS _let_1715 (SYMM _let_1708) _let_962 _let_842 _let_844 _let_847 _let_1040 _let_800 _let_1039 _let_957 _let_824 _let_956 _let_808 _let_955 _let_1398) :args _let_665))) (let ((_let_1719 (CONG (SYMM _let_1717) (TRANS _let_1071 _let_1070 _let_1062 _let_706 _let_672 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877 _let_773 _let_770 _let_767 _let_875 _let_727 _let_730 _let_874 _let_873 _let_863 _let_1260 _let_1257 _let_1256 _let_1049 _let_1047 _let_1046 _let_1038 _let_834 _let_833 _let_825 _let_823 _let_819 _let_801 _let_799 _let_848 _let_845 _let_843 _let_837 _let_1708 (SYMM _let_1715)) :args _let_665))) (let ((_let_1720 (CONG _let_1194 (TRANS _let_731 _let_728 _let_725 _let_779 _let_769 _let_772 _let_882 _let_878 _let_881 _let_883 _let_1295 _let_887 _let_781 _let_754 _let_751 _let_697 _let_695 _let_673 _let_671 _let_1061 _let_1119 _let_1118) :args _let_665))) (let ((_let_1721 (CONG _let_1194 _let_865 :args _let_665))) (let ((_let_1722 (TRANS _let_1721 _let_1720 _let_1719 _let_1718 _let_1707 _let_1705))) (let ((_let_1723 (CONG (TRANS _let_1722 _let_1704) _let_797 :args _let_665))) (let ((_let_1724 (CONG _let_1207 _let_869 :args _let_665))) (let ((_let_1725 (SYMM _let_1724))) (let ((_let_1726 (SYMM _let_1721))) (let ((_let_1727 (SYMM _let_1720))) (let ((_let_1728 (SYMM _let_1719))) (let ((_let_1729 (SYMM _let_1718))) (let ((_let_1730 (ASSUME :args (_let_401)))) (let ((_let_1731 (SYMM _let_1730))) (let ((_let_1732 (CONG _let_1731 _let_1041 :args _let_665))) (let ((_let_1733 (CONG _let_1730 (TRANS _let_1127 _let_706 _let_672 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877 _let_773 _let_770 _let_767 _let_875 _let_727 _let_730 _let_874 _let_873 _let_863 _let_1260 _let_1257 _let_1256 _let_1049 _let_1047 _let_1046 _let_1038 _let_834 _let_833 _let_825 _let_823 _let_819 _let_801 _let_799 _let_848 _let_845 _let_843 _let_837) :args _let_665))) (let ((_let_1734 (TRANS _let_1134 _let_1143 _let_1142 _let_1141 _let_1138 _let_1733 _let_1732 _let_1706 _let_1729 _let_1728 _let_1727 _let_1726 _let_1725))) (let ((_let_1735 (SYMM _let_1142))) (let ((_let_1736 (SYMM _let_1138))) (let ((_let_1737 (TRANS (CONG _let_1128 (TRANS (CONG _let_1307 _let_764 :args _let_665) (CONG _let_1492 _let_764 :args _let_665) _let_772 _let_882 _let_878 _let_881 _let_883 _let_1295 _let_887 _let_781 _let_754 _let_751 _let_697 _let_695 _let_673 _let_671 _let_1129) :args _let_665) _let_1736 _let_1140 _let_1735 _let_1136 _let_1135))) (let ((_let_1738 (CONG (TRANS _let_1737 _let_1734 _let_1724) _let_1085 :args _let_665))) (let ((_let_1739 (CONG (SYMM _let_1737) _let_1085 :args _let_665))) (let ((_let_1740 (ASSUME :args (_let_636)))) (let ((_let_1741 (ASSUME :args (_let_298)))) (let ((_let_1742 (ASSUME :args (_let_231)))) (let ((_let_1743 (CONG _let_1001 (SYMM _let_1742) :args _let_665))) (let ((_let_1744 (ASSUME :args (_let_424)))) (let ((_let_1745 (ASSUME :args (_let_63)))) (let ((_let_1746 (TRANS (SYMM _let_1745) (SYMM _let_996)))) (let ((_let_1747 (ASSUME :args (_let_105)))) (let ((_let_1748 (CONG (REFL :args (_let_60)) (TRANS _let_1125 _let_1122) :args _let_665))) (let ((_let_1749 (ASSUME :args (_let_379)))) (let ((_let_1750 (ASSUME :args (_let_507)))) (let ((_let_1751 (ASSUME :args (_let_601)))) (let ((_let_1752 (ASSUME :args (_let_434)))) (let ((_let_1753 (CONG (REFL :args (_let_377)) (TRANS _let_1071 _let_1070 _let_1062 _let_706 _let_672 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877 _let_773 _let_770 _let_767 (SYMM (SYMM 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_let_665)))) (let ((_let_1766 (TRANS (CONG _let_1194 (TRANS (CONG (SYMM _let_1765) _let_822 :args _let_665) (CONG (TRANS _let_1765 (TRANS _let_1761 (SYMM _let_1763)) (TRANS _let_1763 (SYMM _let_1761) _let_1105 _let_1103 _let_1068 _let_1054 _let_1052 _let_986 _let_984) _let_891 _let_895) _let_822 :args _let_665) _let_1049 _let_1047 _let_1046 _let_1038 _let_834 _let_808 _let_955 _let_1398) :args _let_665) _let_1707 _let_1705))) (let ((_let_1767 (CONG (TRANS _let_1043 _let_1620 _let_1210 _let_1195) _let_1144 :args _let_665))) (let ((_let_1768 (CONG _let_847 _let_1128 :args _let_665))) (let ((_let_1769 (ASSUME :args (_let_367)))) (let ((_let_1770 (ASSUME :args (_let_597)))) (let ((_let_1771 (CONG _let_774 _let_1731 :args _let_665))) (let ((_let_1772 (CONG _let_1771 (SYMM _let_1770) :args _let_665))) (let ((_let_1773 (CONG (TRANS _let_774 _let_896 _let_892 (SYMM _let_1152) _let_1151 (SYMM _let_1771)) _let_1770 :args _let_665))) (let ((_let_1774 (REFL :args (_let_351)))) (let ((_let_1775 (CONG (TRANS _let_1486 _let_1482 _let_1484 _let_891 _let_895 _let_871) _let_1774 :args _let_665))) (let ((_let_1776 (CONG _let_1214 _let_1117 :args _let_665))) (let ((_let_1777 (ASSUME :args (_let_497)))) (let ((_let_1778 (CONG _let_740 _let_1128 :args _let_665))) (let ((_let_1779 (ASSUME :args (_let_349)))) (let ((_let_1780 (SYMM _let_1779))) (let ((_let_1781 (REFL :args (_let_347)))) (let ((_let_1782 (TRANS _let_1780 _let_1778))) (let ((_let_1783 (ASSUME :args (_let_529)))) (let ((_let_1784 (TRANS (SYMM _let_1783) (CONG _let_1782 _let_1781 :args _let_665) _let_1780 _let_1778))) (let ((_let_1785 (ASSUME :args (_let_554)))) (let ((_let_1786 (ASSUME :args (_let_343)))) (let ((_let_1787 (ASSUME :args (_let_484)))) (let ((_let_1788 (TRANS (SYMM _let_1787) (CONG (TRANS (SYMM _let_1786) (CONG (TRANS _let_1113 _let_1682) _let_1169 :args _let_665) _let_1112 _let_1110) _let_822 :args _let_665) _let_1705))) (let ((_let_1789 (CONG _let_714 (TRANS (CONG (TRANS _let_1722 (SYMM _let_1788)) _let_1000 :args _let_665) (CONG (TRANS _let_1788 _let_1704) _let_1000 :args _let_665) (CONG (CONG _let_1128 _let_1174 :args _let_665) _let_1000 :args _let_665) (SYMM (SYMM _let_1785)) (CONG (TRANS _let_1137 _let_1682) _let_1169 :args _let_665) _let_1112 _let_1110) :args _let_665))) (let ((_let_1790 (CONG (TRANS (SYMM _let_1789) (TRANS _let_1789 (SYMM _let_1778) _let_1779 (CONG (SYMM _let_1784) _let_1781 :args _let_665) (CONG _let_1784 (TRANS _let_1151 _let_1150 _let_1149 _let_1145 _let_1120 _let_1116 _let_1071 _let_1070 _let_1062 _let_706 _let_672 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877) :args _let_665) (CONG _let_1744 (TRANS _let_882 _let_878 _let_881 _let_883 _let_1295 _let_887 _let_781 _let_754 _let_751 _let_697 _let_695 _let_673 _let_671 _let_1061 _let_1119 _let_1118 _let_1115 (SYMM _let_1120) (SYMM (SYMM _let_1777)) (CONG (TRANS (SYMM _let_1776) (TRANS _let_1776 (CONG _let_1195 _let_1117 :args _let_665) (SYMM _let_1767)) (TRANS (SYMM _let_1768) _let_1769 (SYMM _let_1772) (SYMM _let_1773) (SYMM _let_1775)) (TRANS _let_1775 _let_1773 _let_1772 (SYMM _let_1769) _let_1768 _let_1767 (CONG (TRANS _let_1213 _let_1212 _let_1211 _let_1374 _let_1314 _let_1372 _let_891 _let_895) _let_1758 :args _let_665) _let_1150 _let_1149 _let_1145 _let_1120 _let_1116 _let_1071 _let_1070 _let_1062) _let_1371 _let_1313 _let_1373 _let_1620 _let_1210) (REFL :args (_let_496)) :args _let_665) (CONG (TRANS _let_1212 _let_1211 _let_1374 _let_1314 _let_1372 (TRANS _let_706 _let_672 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877 _let_773 _let_770 _let_767 _let_875 _let_727 _let_730 _let_874 _let_873 _let_863 _let_1260 _let_1257 _let_1256 (SYMM _let_1180) (SYMM _let_1181) _let_1182 (SYMM _let_1200) (SYMM _let_1201) (SYMM _let_1202) _let_1204 (SYMM _let_1208) (CONG (TRANS _let_1705 (SYMM _let_1766)) _let_1194 :args _let_665) (CONG (TRANS _let_1766 (SYMM _let_1722)) (TRANS _let_1760 _let_1759 _let_1736 _let_1140 _let_1735 _let_1136 _let_1135) :args _let_665) (SYMM _let_1757))) (CONG _let_991 _let_1758 :args _let_665) :args _let_665) (CONG _let_1757 (REFL :args (_let_506)) :args _let_665) (SYMM _let_1750) (CONG (TRANS (SYMM (SYMM _let_1749)) (CONG (TRANS _let_1008 (SYMM _let_1746)) (TRANS _let_718 _let_716 _let_713 _let_710 _let_690 _let_688 _let_685 _let_673 _let_671 _let_1129 (SYMM _let_1748)) :args _let_665) (CONG (TRANS _let_1746 _let_989) _let_1748 :args _let_665) (SYMM _let_1747) (CONG _let_1746 (REFL :args (_let_22)) :args _let_665) _let_988) _let_1128 :args _let_665) (SYMM _let_1743)) :args _let_665) (CONG (SYMM _let_1744) _let_1743 :args _let_665) (SYMM _let_1741) _let_1107)) _let_1085 :args _let_665))) (let ((_let_1791 (ASSUME :args (_let_644)))) (let ((_let_1792 (SYMM _let_1791))) (let ((_let_1793 (CONG _let_1073 (REFL :args (_let_498)) :args _let_665))) (let ((_let_1794 (ASSUME :args (_let_500)))) (let ((_let_1795 (SYMM _let_1794))) (let ((_let_1796 (SYMM _let_1795))) (let ((_let_1797 (CONG _let_1093 _let_1169 :args _let_665))) (let ((_let_1798 (SYMM _let_1797))) (let ((_let_1799 (ASSUME :args (_let_251)))) (let ((_let_1800 (ASSUME :args (_let_475)))) (let ((_let_1801 (TRANS (SYMM _let_1800) (CONG (SYMM _let_1799) _let_1072 :args _let_665) _let_1093))) (let ((_let_1802 (CONG _let_1801 _let_1169 :args _let_665))) (let ((_let_1803 (CONG (SYMM _let_1801) (TRANS _let_716 _let_713 _let_710 _let_690 _let_688 _let_685 _let_673 _let_671 _let_1059 _let_985 _let_1058 _let_1053 _let_1396 _let_1395 _let_1394 _let_1393 _let_1392 _let_1160 _let_1163 _let_1377) :args _let_665))) (let ((_let_1804 (TRANS _let_1803 _let_1802 _let_1798))) (let ((_let_1805 (TRANS _let_1804 _let_1797))) (let ((_let_1806 (CONG (REFL :args (_let_396)) _let_797 :args _let_665))) (let ((_let_1807 (CONG _let_1085 _let_663 :args _let_665))) (let ((_let_1808 (ASSUME :args (_let_617)))) (let ((_let_1809 (SYMM _let_1808))) (let ((_let_1810 (SYMM _let_1807))) (let ((_let_1811 (CONG (TRANS _let_802 _let_1810) (REFL :args (_let_616)) :args _let_665))) (let ((_let_1812 (CONG _let_1085 (TRANS _let_716 _let_713 _let_710 _let_690 _let_688 _let_685 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877 _let_773 _let_770 _let_767 _let_875 _let_727 _let_730 _let_874 _let_873 _let_863 _let_1260 _let_1257 _let_1256 _let_1049 _let_1047 _let_1046 _let_1038 _let_834 _let_808 _let_955 _let_820 (CONG _let_1557 (TRANS _let_827 _let_805 _let_1810) :args _let_665)) :args _let_665))) (let ((_let_1813 (CONG _let_1085 (TRANS _let_728 _let_725 _let_779 _let_769 _let_772 _let_882 _let_878 _let_881 _let_883 _let_1295 _let_887 _let_781 _let_754 _let_751 _let_697 _let_695 _let_760 _let_687 _let_759 _let_758 _let_712 _let_757) :args _let_665))) (let ((_let_1814 (CONG _let_1085 _let_731 :args _let_665))) (let ((_let_1815 (TRANS _let_1814 _let_1813 _let_1803 _let_1802))) (let ((_let_1816 (ASSUME :args (_let_443)))) (let ((_let_1817 (ASSUME :args (_let_463)))) (let ((_let_1818 (ASSUME :args (_let_257)))) (let ((_let_1819 (CONG _let_1128 _let_796 :args _let_665))) (let ((_let_1820 (TRANS _let_1819 _let_1739 _let_1738 _let_1723 _let_1703))) (let ((_let_1821 (SYMM _let_1819))) (let ((_let_1822 (ASSUME :args (_let_590)))) (let ((_let_1823 (SYMM _let_1822))) (let ((_let_1824 (CONG (TRANS (TRANS (CONG _let_1819 _let_1796 :args _let_665) _let_1823 _let_1821) _let_1820) (TRANS (CONG (TRANS _let_1374 _let_1314 _let_1372 (TRANS _let_706 _let_672 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877 _let_773 _let_770 _let_767 _let_875 _let_727 _let_730 (SYMM (SYMM _let_1818)) (CONG _let_732 (REFL :args (_let_215)) :args _let_665) (CONG _let_865 (TRANS _let_1258 _let_894 _let_872) :args _let_665) (SYMM (SYMM _let_1817)) (CONG _let_864 (TRANS (CONG _let_864 (TRANS _let_874 _let_873) :args _let_665) (SYMM _let_1816)) :args _let_665) (CONG _let_1815 _let_1815 :args _let_665) (CONG (SYMM _let_1805) (TRANS (SYMM _let_1802) (SYMM _let_1803) _let_1812 _let_1811 _let_1809 _let_1807 _let_803 _let_797) :args _let_665) (SYMM _let_1806)) (TRANS _let_1806 (CONG _let_1805 _let_796 :args _let_665))) (TRANS _let_1796 _let_1793 (SYMM _let_1792) _let_1790) :args _let_665) (SYMM _let_1740) (CONG _let_1684 _let_1085 :args _let_665) _let_1739 _let_1738 _let_1723 _let_1703) :args _let_665))) (let ((_let_1825 (ASSUME :args (_let_639)))) (let ((_let_1826 (SYMM _let_1825))) (let ((_let_1827 (REFL :args (_let_289)))) (let ((_let_1828 (ASSUME :args (_let_564)))) (let ((_let_1829 (CONG (TRANS (CONG _let_1194 _let_1692 :args _let_665) (SYMM _let_1828)) _let_1827 :args _let_665))) (let ((_let_1830 (CONG (TRANS _let_1821 _let_1820) _let_1795 :args _let_665))) (let ((_let_1831 (CONG _let_798 (TRANS _let_1822 _let_1830 _let_1829 (SYMM _let_1826) _let_1824 _let_1702 (SYMM _let_1701) _let_1699 _let_957 _let_824 _let_956 _let_806 _let_1254 _let_1045 _let_1253 _let_1048 _let_1255 _let_1419 _let_1259 _let_894 _let_872 _let_893 _let_731 _let_728 _let_725 _let_779 _let_769 _let_772 _let_882 _let_878 _let_881 _let_883 _let_1295 _let_887 _let_781 _let_754 _let_751 _let_697 _let_695 _let_673 _let_671) :args _let_665))) (let ((_let_1832 (ASSUME :args (_let_469)))) (let ((_let_1833 (CONG _let_1085 (TRANS _let_738 _let_735 _let_733 _let_718) :args _let_665))) (let ((_let_1834 (ASSUME :args (_let_535)))) (let ((_let_1835 (CONG _let_1085 _let_865 :args _let_665))) (let ((_let_1836 (SYMM _let_1835))) (let ((_let_1837 (ASSUME :args (_let_582)))) (let ((_let_1838 (TRANS _let_1317 _let_1812 _let_1811 _let_1809 _let_1807 _let_803))) (let ((_let_1839 (ASSUME :args (_let_647)))) (let ((_let_1840 (CONG _let_1194 (TRANS _let_962 _let_842 _let_844 _let_847 _let_1040 _let_800 _let_1039 _let_957 _let_824 _let_956 _let_808 _let_955 _let_1398) :args _let_665))) (let ((_let_1841 (CONG _let_1712 (TRANS _let_1840 _let_1707 _let_1760 _let_1759 _let_1736 _let_1140 _let_1735 _let_1136 _let_1135) :args _let_665))) (let ((_let_1842 (CONG _let_1713 (TRANS _let_1706 (SYMM _let_1840)) :args _let_665))) (let ((_let_1843 (ASSUME :args (_let_353)))) (let ((_let_1844 (ASSUME :args (_let_532)))) (let ((_let_1845 (TRANS (SYMM _let_1844) (CONG _let_1782 _let_1774 :args _let_665) (SYMM _let_1843)))) (let ((_let_1846 (CONG _let_1845 _let_850 :args _let_665))) (let ((_let_1847 (CONG (SYMM _let_1845) (TRANS _let_706 _let_672 _let_698 _let_696 _let_890 _let_753 _let_889 _let_888 _let_886 _let_884 _let_880 _let_879 _let_877 _let_773 _let_770 _let_767 _let_875 _let_727 _let_730 _let_874 _let_873 _let_863 _let_1260 _let_1257 _let_1256 _let_1049 _let_1047 _let_1046 _let_1038 _let_834 _let_833 _let_825 _let_823 _let_819 _let_801 _let_799 _let_848 _let_845 _let_843 _let_837) :args _let_665))) (let ((_let_1848 (ASSUME :args (_let_584)))) (let ((_let_1849 (ASSUME :args (_let_428)))) (let ((_let_1850 (ASSUME :args (_let_643)))) (let ((_let_1851 (ASSUME :args (_let_544)))) (let ((_let_1852 (ASSUME :args (_let_291)))) (let ((_let_1853 (ASSUME :args (_let_203)))) (let ((_let_1854 (TRANS _let_980 _let_982 (CONG _let_981 (TRANS (SYMM _let_1002) _let_1004) :args _let_665) (SYMM _let_1853)))) (let ((_let_1855 (ASSUME :args (_let_479)))) (let ((_let_1856 (ASSUME :args (_let_391)))) (let ((_let_1857 (REFL :args (_let_169)))) (let ((_let_1858 (ASSUME :args (_let_170)))) (let ((_let_1859 (CONG _let_670 _let_1078 :args _let_665))) (let ((_let_1860 (ASSUME :args (_let_288)))) (let ((_let_1861 (ASSUME :args (_let_602)))) (let ((_let_1862 (ASSUME :args (_let_405)))) (let ((_let_1863 (ASSUME :args (_let_589)))) (let ((_let_1864 (CONG (REFL :args (_let_287)) (TRANS (SYMM _let_1863) (SYMM (SYMM _let_1862))) :args _let_665))) (let ((_let_1865 (ASSUME :args (_let_490)))) (let ((_let_1866 (ASSUME :args (_let_634)))) (let ((_let_1867 (TRANS (SYMM _let_1866) (SYMM _let_1865) (SYMM _let_1405)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_661)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_649 _let_1284 _let_1405 _let_1865 _let_1866 _let_668 _let_672 _let_677 _let_693 _let_696 _let_720 _let_745 _let_747 _let_736 _let_748 _let_739 _let_674 _let_686 _let_689 _let_699 _let_700 _let_703 _let_711 _let_717 _let_723 _let_726 _let_729 _let_752 _let_763 _let_765 _let_768 _let_771 _let_777 _let_885 _let_880 _let_867 _let_876 _let_874 _let_862 _let_846 _let_791 _let_793 _let_795 _let_800 _let_802 _let_807 _let_810 _let_816 _let_820 _let_824 _let_826 _let_1257 _let_858 _let_839 _let_836 _let_1047 _let_1037 _let_1252 _let_1249 _let_939 _let_1240 _let_662 _let_935 _let_934 _let_922 _let_1226 _let_1091 _let_1092 _let_1096 _let_1230 _let_1233 _let_925 _let_1075 _let_1016 _let_1018 _let_930 _let_927 _let_1220 _let_950 _let_959 _let_961 _let_963 _let_966 _let_952 _let_854 _let_853 _let_790 _let_980 _let_982 _let_985 _let_987 _let_1050 _let_1053 _let_1061 _let_1064 _let_1055 _let_1056 _let_1080 _let_1082 _let_1084 _let_1099 _let_1100 _let_1101 _let_1115 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_let_6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 4.98/5.32  )
% 4.98/5.34  % SZS output end Proof for ALG006-1
% 4.98/5.34  % cvc5---1.0.5 exiting
% 5.09/5.34  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------