TSTP Solution File: LAT089-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT089-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 06:02:51 EDT 2023
% Result : Unsatisfiable 200.18s 200.45s
% Output : Proof 200.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : LAT089-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.12 % Command : do_cvc5 %s %d
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Aug 24 08:25:09 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.15/0.43 %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.44 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TBY9PvQHkP/cvc5---1.0.5_3312.p...
% 0.15/0.44 ------- get file name : TPTP file name is LAT089-1
% 0.15/0.44 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3312.smt2...
% 0.15/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.29/10.51 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.31/15.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.35/20.59 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.23/25.62 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.33/30.64 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.40/35.67 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.45/40.70 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.61/45.88 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.66/50.92 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.70/55.96 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.69/60.99 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.73/66.04 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.81/76.09 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 85.86/86.15 --- Run --no-cbqi --full-saturate-quant at 10...
% 95.94/96.18 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 200.18/200.45 % SZS status Unsatisfiable for LAT089-1
% 200.18/200.45 % SZS output start Proof for LAT089-1
% 200.22/200.52 (
% 200.22/200.52 (let ((_let_1 (tptp.meet tptp.a tptp.b))) (let ((_let_2 (tptp.meet tptp.b tptp.a))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.join (tptp.join (tptp.meet A B) (tptp.meet C A)) A) A)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.meet (tptp.meet (tptp.join A B) (tptp.join C A)) A) A)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join (tptp.meet A B) (tptp.meet B (tptp.join A B))) B)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join (tptp.meet A A) (tptp.meet B (tptp.join A A))) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join (tptp.meet A B) (tptp.meet A (tptp.join A B))) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.join (tptp.meet A B) (tptp.meet A (tptp.join A B))))))) (let ((_let_11 (tptp.join _let_2 _let_1))) (let ((_let_12 (tptp.join _let_1 _let_2))) (let ((_let_13 (tptp.join _let_12 _let_11))) (let ((_let_14 (tptp.meet _let_12 _let_11))) (let ((_let_15 (= _let_12 (tptp.join _let_14 (tptp.meet _let_12 _let_13))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (tptp.join tptp.a tptp.b))) (let ((_let_18 (tptp.join tptp.b tptp.a))) (let ((_let_19 (tptp.meet _let_18 _let_17))) (let ((_let_20 (tptp.meet _let_19 tptp.b))) (let ((_let_21 (tptp.meet _let_2 _let_20))) (let ((_let_22 (tptp.meet tptp.b _let_17))) (let ((_let_23 (tptp.join _let_1 _let_22))) (let ((_let_24 (tptp.join tptp.b _let_17))) (let ((_let_25 (tptp.meet _let_17 _let_24))) (let ((_let_26 (tptp.join _let_22 _let_25))) (let ((_let_27 (tptp.meet _let_26 _let_23))) (let ((_let_28 (tptp.meet _let_27 _let_27))) (let ((_let_29 (tptp.join _let_2 _let_20))) (let ((_let_30 (tptp.meet _let_2 _let_29))) (let ((_let_31 (tptp.join _let_21 _let_30))) (let ((_let_32 (= _let_21 (tptp.meet (tptp.meet _let_31 (tptp.join _let_28 _let_21)) _let_21)))) (let ((_let_33 (tptp.join _let_19 tptp.b))) (let ((_let_34 (tptp.meet tptp.b _let_33))) (let ((_let_35 (tptp.join _let_20 _let_34))) (let ((_let_36 (tptp.meet _let_2 _let_35))) (let ((_let_37 (= _let_35 (tptp.join (tptp.join (tptp.meet _let_35 _let_1) _let_36) _let_35)))) (let ((_let_38 (tptp.meet tptp.a _let_18))) (let ((_let_39 (tptp.join _let_2 _let_38))) (let ((_let_40 (tptp.meet _let_39 _let_12))) (let ((_let_41 (tptp.meet _let_21 _let_21))) (let ((_let_42 (= _let_21 (tptp.join _let_41 (tptp.meet _let_40 (tptp.join _let_21 _let_21)))))) (let ((_let_43 (tptp.join _let_39 _let_12))) (let ((_let_44 (tptp.join _let_12 tptp.a))) (let ((_let_45 (tptp.meet _let_44 _let_43))) (let ((_let_46 (tptp.meet _let_45 _let_12))) (let ((_let_47 (tptp.join _let_45 _let_12))) (let ((_let_48 (tptp.meet _let_12 _let_47))) (let ((_let_49 (tptp.join _let_46 _let_48))) (let ((_let_50 (tptp.meet _let_49 (tptp.join _let_29 _let_46)))) (let ((_let_51 (tptp.join _let_50 _let_46))) (let ((_let_52 (tptp.meet _let_50 _let_46))) (let ((_let_53 (= _let_50 (tptp.join _let_52 (tptp.meet _let_50 _let_51))))) (let ((_let_54 (tptp.meet _let_23 _let_11))) (let ((_let_55 (tptp.meet _let_54 _let_1))) (let ((_let_56 (tptp.join _let_2 _let_55))) (let ((_let_57 (tptp.join _let_54 _let_1))) (let ((_let_58 (tptp.meet _let_1 _let_57))) (let ((_let_59 (tptp.join _let_55 _let_58))) (let ((_let_60 (tptp.meet _let_59 _let_56))) (let ((_let_61 (tptp.join _let_60 _let_55))) (let ((_let_62 (tptp.meet _let_60 _let_55))) (let ((_let_63 (= _let_60 (tptp.join _let_62 (tptp.meet _let_60 _let_61))))) (let ((_let_64 (tptp.meet _let_40 _let_2))) (let ((_let_65 (tptp.join _let_1 _let_64))) (let ((_let_66 (tptp.join _let_40 _let_2))) (let ((_let_67 (tptp.meet _let_2 _let_66))) (let ((_let_68 (tptp.join _let_64 _let_67))) (let ((_let_69 (tptp.meet _let_68 _let_65))) (let ((_let_70 (tptp.join _let_69 _let_64))) (let ((_let_71 (tptp.meet _let_69 _let_64))) (let ((_let_72 (= _let_69 (tptp.join _let_71 (tptp.meet _let_69 _let_70))))) (let ((_let_73 (tptp.join _let_25 _let_22))) (let ((_let_74 (tptp.join _let_22 _let_1))) (let ((_let_75 (tptp.meet _let_74 _let_73))) (let ((_let_76 (tptp.meet _let_12 _let_74))) (let ((_let_77 (tptp.join _let_75 _let_76))) (let ((_let_78 (tptp.meet _let_77 (tptp.join _let_12 _let_75)))) (let ((_let_79 (tptp.join _let_78 _let_75))) (let ((_let_80 (tptp.meet _let_78 _let_75))) (let ((_let_81 (= _let_78 (tptp.join _let_80 (tptp.meet _let_78 _let_79))))) (let ((_let_82 (tptp.meet _let_46 _let_51))) (let ((_let_83 (tptp.join _let_29 _let_12))) (let ((_let_84 (tptp.meet _let_12 _let_83))) (let ((_let_85 (tptp.meet _let_29 _let_12))) (let ((_let_86 (tptp.join _let_85 _let_84))) (let ((_let_87 (tptp.join (tptp.meet _let_51 _let_86) _let_82))) (let ((_let_88 (tptp.join _let_87 _let_51))) (let ((_let_89 (= _let_51 (tptp.meet (tptp.meet (tptp.join _let_51 _let_12) _let_88) _let_51)))) (let ((_let_90 (tptp.meet _let_75 _let_79))) (let ((_let_91 (tptp.join _let_12 _let_74))) (let ((_let_92 (tptp.meet tptp.b _let_91))) (let ((_let_93 (tptp.join _let_76 _let_92))) (let ((_let_94 (tptp.join (tptp.meet _let_79 _let_93) _let_90))) (let ((_let_95 (tptp.join _let_94 _let_79))) (let ((_let_96 (= _let_79 (tptp.meet (tptp.meet (tptp.join _let_79 tptp.b) _let_95) _let_79)))) (let ((_let_97 (tptp.meet _let_49 (tptp.join _let_84 _let_46)))) (let ((_let_98 (tptp.join _let_52 _let_97))) (let ((_let_99 (tptp.meet _let_12 _let_43))) (let ((_let_100 (tptp.join _let_99 _let_40))) (let ((_let_101 (tptp.join _let_100 _let_12))) (let ((_let_102 (tptp.join _let_12 _let_43))) (let ((_let_103 (tptp.meet _let_102 _let_101))) (let ((_let_104 (= _let_97 (tptp.meet (tptp.meet (tptp.join _let_97 _let_103) _let_98) _let_97)))) (let ((_let_105 (tptp.meet _let_23 (tptp.join _let_26 _let_23)))) (let ((_let_106 (tptp.join _let_27 _let_105))) (let ((_let_107 (tptp.meet _let_106 (tptp.join _let_92 _let_27)))) (let ((_let_108 (tptp.join _let_80 _let_107))) (let ((_let_109 (tptp.join _let_11 tptp.b))) (let ((_let_110 (tptp.meet _let_18 _let_109))) (let ((_let_111 (= _let_107 (tptp.meet (tptp.meet (tptp.join _let_107 _let_110) _let_108) _let_107)))) (let ((_let_112 (tptp.meet _let_55 _let_61))) (let ((_let_113 (tptp.meet _let_59 (tptp.join _let_54 _let_55)))) (let ((_let_114 (= _let_61 (tptp.join (tptp.join (tptp.meet _let_61 _let_113) _let_112) _let_61)))) (let ((_let_115 (tptp.meet _let_64 _let_70))) (let ((_let_116 (tptp.meet _let_68 (tptp.join _let_40 _let_64)))) (let ((_let_117 (= _let_70 (tptp.join (tptp.join (tptp.meet _let_70 _let_116) _let_115) _let_70)))) (let ((_let_118 (= _let_103 (tptp.join (tptp.join (tptp.meet _let_103 _let_97) (tptp.meet _let_39 _let_103)) _let_103)))) (let ((_let_119 (= _let_110 (tptp.join (tptp.join (tptp.meet _let_110 _let_107) (tptp.meet _let_27 _let_110)) _let_110)))) (let ((_let_120 (tptp.join _let_62 _let_112))) (let ((_let_121 (tptp.meet _let_61 (tptp.join _let_55 _let_61)))) (let ((_let_122 (tptp.meet (tptp.join _let_112 _let_121) _let_120))) (let ((_let_123 (tptp.meet _let_122 _let_112))) (let ((_let_124 (tptp.meet _let_44 tptp.b))) (let ((_let_125 (tptp.join _let_58 _let_55))) (let ((_let_126 (tptp.meet _let_17 _let_44))) (let ((_let_127 (tptp.meet (tptp.join _let_124 _let_126) (tptp.join _let_125 _let_124)))) (let ((_let_128 (tptp.meet _let_127 _let_124))) (let ((_let_129 (= _let_112 (tptp.join (tptp.join (tptp.meet _let_112 _let_128) _let_123) _let_112)))) (let ((_let_130 (tptp.join _let_71 _let_115))) (let ((_let_131 (tptp.meet _let_70 (tptp.join _let_64 _let_70)))) (let ((_let_132 (tptp.meet (tptp.join _let_115 _let_131) _let_130))) (let ((_let_133 (tptp.meet _let_132 _let_115))) (let ((_let_134 (tptp.meet _let_109 tptp.a))) (let ((_let_135 (tptp.join _let_67 _let_64))) (let ((_let_136 (tptp.join _let_135 _let_134))) (let ((_let_137 (tptp.join _let_134 _let_110))) (let ((_let_138 (tptp.meet _let_137 _let_136))) (let ((_let_139 (tptp.meet _let_138 _let_134))) (let ((_let_140 (= _let_115 (tptp.join (tptp.join (tptp.meet _let_115 _let_139) _let_133) _let_115)))) (let ((_let_141 (tptp.meet _let_91 _let_101))) (let ((_let_142 (tptp.meet _let_40 _let_40))) (let ((_let_143 (tptp.join _let_142 _let_141))) (let ((_let_144 (tptp.meet _let_101 (tptp.join _let_91 _let_101)))) (let ((_let_145 (tptp.join _let_141 _let_144))) (let ((_let_146 (= _let_141 (tptp.meet (tptp.meet _let_145 _let_143) _let_141)))) (let ((_let_147 (tptp.join _let_55 _let_1))) (let ((_let_148 (tptp.meet _let_12 _let_147))) (let ((_let_149 (tptp.meet _let_55 _let_55))) (let ((_let_150 (tptp.join _let_149 _let_148))) (let ((_let_151 (tptp.meet _let_147 (tptp.join _let_12 _let_147)))) (let ((_let_152 (tptp.join _let_148 _let_151))) (let ((_let_153 (= _let_148 (tptp.meet (tptp.meet _let_152 _let_150) _let_148)))) (let ((_let_154 (tptp.join _let_64 _let_2))) (let ((_let_155 (tptp.meet _let_11 _let_154))) (let ((_let_156 (tptp.meet _let_64 _let_64))) (let ((_let_157 (tptp.join _let_156 _let_155))) (let ((_let_158 (tptp.meet _let_154 (tptp.join _let_11 _let_154)))) (let ((_let_159 (tptp.join _let_155 _let_158))) (let ((_let_160 (= _let_155 (tptp.meet (tptp.meet _let_159 _let_157) _let_155)))) (let ((_let_161 (tptp.meet _let_44 _let_12))) (let ((_let_162 (tptp.join _let_161 _let_45))) (let ((_let_163 (tptp.meet _let_43 (tptp.join _let_44 _let_43)))) (let ((_let_164 (tptp.join _let_45 _let_163))) (let ((_let_165 (tptp.meet _let_164 _let_162))) (let ((_let_166 (tptp.join _let_165 _let_45))) (let ((_let_167 (tptp.meet _let_47 _let_162))) (let ((_let_168 (tptp.meet _let_167 _let_45))) (let ((_let_169 (tptp.join _let_46 _let_168))) (let ((_let_170 (tptp.meet _let_165 _let_166))) (let ((_let_171 (= _let_166 (tptp.meet (tptp.meet (tptp.join _let_166 _let_170) (tptp.join _let_169 _let_166)) _let_166)))) (let ((_let_172 (= _let_97 (tptp.join (tptp.meet _let_52 _let_97) (tptp.meet _let_97 _let_98))))) (let ((_let_173 (= _let_107 (tptp.join (tptp.meet _let_80 _let_107) (tptp.meet _let_107 _let_108))))) (let ((_let_174 (tptp.meet _let_35 _let_29))) (let ((_let_175 (tptp.join _let_85 _let_174))) (let ((_let_176 (tptp.join _let_175 _let_29))) (let ((_let_177 (tptp.meet _let_83 _let_176))) (let ((_let_178 (tptp.meet _let_176 (tptp.join _let_36 _let_174)))) (let ((_let_179 (tptp.join _let_178 _let_177))) (let ((_let_180 (= _let_177 (tptp.join (tptp.meet _let_178 _let_177) (tptp.meet _let_177 _let_179))))) (let ((_let_181 (= _let_141 (tptp.join (tptp.meet _let_142 _let_141) (tptp.meet _let_141 _let_143))))) (let ((_let_182 (= _let_148 (tptp.join (tptp.meet _let_149 _let_148) (tptp.meet _let_148 _let_150))))) (let ((_let_183 (= _let_155 (tptp.join (tptp.meet _let_156 _let_155) (tptp.meet _let_155 _let_157))))) (let ((_let_184 (tptp.join _let_40 _let_99))) (let ((_let_185 (tptp.meet _let_43 _let_102))) (let ((_let_186 (tptp.join _let_99 _let_185))) (let ((_let_187 (tptp.meet _let_186 _let_184))) (let ((_let_188 (= _let_187 (tptp.join (tptp.meet _let_142 _let_187) (tptp.meet _let_187 (tptp.join _let_142 _let_187)))))) (let ((_let_189 (tptp.join _let_23 _let_11))) (let ((_let_190 (tptp.meet _let_11 _let_189))) (let ((_let_191 (tptp.join _let_54 _let_190))) (let ((_let_192 (tptp.meet _let_189 (tptp.join _let_11 _let_189)))) (let ((_let_193 (tptp.join _let_190 _let_192))) (let ((_let_194 (tptp.meet _let_193 _let_191))) (let ((_let_195 (tptp.meet _let_54 _let_54))) (let ((_let_196 (= _let_194 (tptp.join (tptp.meet _let_195 _let_194) (tptp.meet _let_194 (tptp.join _let_195 _let_194)))))) (let ((_let_197 (tptp.meet _let_35 (tptp.join _let_2 _let_35)))) (let ((_let_198 (tptp.join _let_36 _let_197))) (let ((_let_199 (tptp.meet _let_198 (tptp.join _let_28 _let_36)))) (let ((_let_200 (tptp.meet _let_199 _let_36))) (let ((_let_201 (= _let_36 (tptp.join _let_200 (tptp.meet _let_36 (tptp.join _let_199 _let_36)))))) (let ((_let_202 (= _let_51 _let_88))) (let ((_let_203 (= _let_79 _let_95))) (let ((_let_204 (tptp.join _let_11 _let_12))) (let 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(TRANS (SYMM (TRANS _let_1346 _let_1430)) _let_1348))) (let ((_let_1434 (CONG (SYMM _let_1431) (TRANS (CONG _let_1433 (TRANS (SYMM _let_1366) _let_1368 _let_1347 _let_1381 _let_1394) :args _let_1004) (SYMM _let_1427)) :args _let_996))) (let ((_let_1435 (ASSUME :args (_let_716)))) (let ((_let_1436 (SYMM (SYMM _let_1435)))) (let ((_let_1437 (CONG (SYMM _let_1433) (TRANS _let_1384 _let_1382 _let_1346 _let_1430 (CONG (REFL :args (_let_671)) (TRANS _let_1430 _let_1436 _let_1434 _let_1432 _let_1365 _let_1363 (CONG (TRANS _let_1347 (TRANS _let_1346 _let_1430 _let_1436 _let_1434 _let_1432 _let_1365 _let_1363 (CONG (TRANS _let_1347 (TRANS (SYMM (SYMM _let_1358)) (CONG _let_1357 _let_1338 :args _let_996))) (SYMM (SYMM _let_1354)) :args _let_1004))) (REFL :args (_let_672)) :args _let_1004) (SYMM _let_1353)) :args _let_1004)) :args _let_996))) (let ((_let_1438 (SYMM _let_1390))) (let ((_let_1439 (TRANS _let_1376 _let_1386 _let_1438 _let_1349 _let_1381 _let_1394))) (let ((_let_1440 (TRANS _let_1347 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(let ((_let_1524 (ASSUME :args (_let_756)))) (let ((_let_1525 (SYMM _let_1524))) (let ((_let_1526 (ASSUME :args (_let_870)))) (let ((_let_1527 (SYMM _let_1526))) (let ((_let_1528 (SYMM _let_1527))) (let ((_let_1529 (ASSUME :args (_let_901)))) (let ((_let_1530 (SYMM _let_1529))) (let ((_let_1531 (ASSUME :args (_let_949)))) (let ((_let_1532 (TRANS _let_1444 (SYMM (SYMM _let_1531))))) (let ((_let_1533 (CONG _let_1532 (REFL :args (_let_273)) :args _let_1004))) (let ((_let_1534 (CONG _let_1533 (TRANS _let_1530 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1447 _let_1468 _let_1467 _let_1466 _let_1463) :args _let_996))) (let ((_let_1535 (TRANS _let_1347 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1447 _let_1468 _let_1467 _let_1466 _let_1463))) (let ((_let_1536 (CONG (CONG _let_1444 _let_1084 :args _let_1004) _let_1535 :args _let_996))) (let ((_let_1537 (CONG _let_1360 _let_1536 :args _let_1004))) (let ((_let_1538 (REFL :args (_let_29)))) (let 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_let_1326 _let_1299 _let_1289) :args _let_1004))) (let ((_let_1553 (CONG _let_1462 _let_1448 :args _let_996))) (let ((_let_1554 (CONG (TRANS _let_1448 _let_1545 (SYMM _let_1551)) (TRANS _let_1553 (SYMM _let_1549)) :args _let_1004))) (let ((_let_1555 (ASSUME :args (_let_808)))) (let ((_let_1556 (SYMM _let_1555))) (let ((_let_1557 (SYMM _let_1439))) (let ((_let_1558 (SYMM _let_1274))) (let ((_let_1559 (SYMM _let_1393))) (let ((_let_1560 (SYMM _let_1391))) (let ((_let_1561 (CONG (TRANS _let_1385 _let_1560 (TRANS _let_1346 _let_1374 _let_1389 _let_1559 (CONG _let_1392 _let_1557 :args _let_1004))) (CONG _let_1558 (TRANS _let_1348 _let_1380 _let_1441 (CONG _let_1392 _let_1557 :args _let_996)) :args _let_1004) :args _let_996))) (let ((_let_1562 (CONG (TRANS _let_1545 _let_1391 _let_1376) _let_998 :args _let_996))) (let ((_let_1563 (TRANS _let_1562 _let_1561 _let_1556 _let_1376 _let_1386 _let_1438 _let_1349))) (let ((_let_1564 (CONG (TRANS _let_1563 (SYMM _let_1545) _let_1447) (TRANS (SYMM 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(let ((_let_1579 (TRANS (CONG _let_1576 _let_1575 :args _let_1004) _let_1393 _let_1379 _let_1375 _let_1347))) (let ((_let_1580 (ASSUME :args (_let_666)))) (let ((_let_1581 (TRANS _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1447 _let_1468 _let_1467 _let_1466 _let_1463 (SYMM (SYMM _let_1580)) (CONG (TRANS _let_1579 _let_1578) (CONG _let_1037 (TRANS _let_1577 _let_1445 _let_1377 _let_1390 _let_1387 _let_1385 _let_1555 _let_1574 _let_1573) :args _let_1004) :args _let_996)))) (let ((_let_1582 (CONG (TRANS _let_1347 _let_1581) (TRANS _let_1541 (CONG _let_1572 (TRANS _let_1530 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1569 _let_1568 _let_1567 _let_1566) :args _let_996)) :args _let_1004))) (let ((_let_1583 (SYMM _let_1541))) (let ((_let_1584 (ASSUME :args (_let_769)))) (let ((_let_1585 (SYMM _let_1422))) (let ((_let_1586 (TRANS _let_1359 _let_1407 _let_1405 (CONG (TRANS _let_1404 (TRANS _let_1403 _let_1398 (SYMM _let_1410) _let_1412)) (TRANS _let_1370 _let_1085 _let_1396 _let_1585 _let_1424 _let_1413 _let_1410 _let_1399) :args _let_1004) _let_1421))) (let ((_let_1587 (TRANS (CONG (TRANS (TRANS (CONG (TRANS (TRANS _let_1570 _let_1393 _let_1379 _let_1375 _let_1347) _let_1586) (CONG (REFL :args (_let_767)) (TRANS _let_1382 _let_1085 _let_1396 _let_1417) :args _let_1004) :args _let_996) (SYMM _let_1584) _let_1425 _let_1422 _let_1397 _let_1086) _let_1346) (TRANS (CONG _let_1572 (TRANS _let_1570 _let_1393 _let_1379 _let_1375 _let_1347 _let_1529) :args _let_996) _let_1583) :args _let_1004) _let_1582))) (let ((_let_1588 (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG (TRANS (TRANS _let_1548 _let_1582) (SYMM _let_1587)) (SYMM _let_1571) :args _let_1004) (CONG _let_1587 _let_1571 :args _let_1004) (SYMM _let_1565) _let_1500 _let_1564 _let_1554 _let_1552 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349) _let_1469 _let_1343 _let_1528) (TRANS (CONG (REFL :args (_let_359)) (TRANS _let_1548 (SYMM _let_1546)) :args _let_1004) (SYMM _let_1547) _let_1546 _let_1543) :args _let_996) _let_1525 _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349) _let_1469 _let_1343 _let_1528) (REFL :args (_let_301)) :args _let_996))) (let ((_let_1589 (ASSUME :args (_let_360)))) (let ((_let_1590 (SYMM (SYMM _let_1589)))) (let ((_let_1591 (SYMM _let_1534))) (let ((_let_1592 (ASSUME :args (_let_470)))) (let ((_let_1593 (ASSUME :args (_let_799)))) (let ((_let_1594 (ASSUME :args (_let_306)))) (let ((_let_1595 (SYMM _let_1540))) (let ((_let_1596 (SYMM _let_1537))) (let ((_let_1597 (SYMM _let_1533))) (let ((_let_1598 (TRANS _let_1597 _let_1596 _let_1595))) (let ((_let_1599 (CONG (TRANS (TRANS _let_1527 _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349) _let_1348) (TRANS (CONG _let_1598 (TRANS (SYMM (SYMM _let_1594)) (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG _let_1591 _let_1338 :args _let_996) (SYMM _let_1593)) _let_1346) (TRANS (SYMM _let_1592) _let_1591 _let_1583) :args _let_1004) _let_1543 _let_1590 _let_1588 _let_1525 _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349) _let_1346) _let_1544 :args _let_1004) _let_1543 _let_1590 _let_1588 _let_1525 _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349 _let_1369) :args _let_1004) _let_1522 (SYMM _let_1521) _let_1347 _let_1381 _let_1394) :args _let_996))) (let ((_let_1600 (ASSUME :args (_let_277)))) (let ((_let_1601 (SYMM _let_1600))) (let ((_let_1602 (SYMM _let_1601))) (let ((_let_1603 (ASSUME :args (_let_533)))) (let ((_let_1604 (SYMM _let_1603))) (let ((_let_1605 (CONG _let_1539 (CONG _let_1516 (SYMM _let_1440) :args _let_996) :args _let_1004))) (let ((_let_1606 (REFL :args (_let_36)))) (let ((_let_1607 (ASSUME :args (_let_753)))) (let ((_let_1608 (SYMM _let_1607))) (let ((_let_1609 (SYMM _let_1608))) (let ((_let_1610 (ASSUME :args (_let_724)))) (let ((_let_1611 (SYMM _let_1610))) (let ((_let_1612 (CONG (REFL :args (_let_311)) (TRANS _let_1611 _let_1521 (SYMM _let_1522) (CONG (SYMM _let_1598) (TRANS _let_1370 _let_1348 _let_1609 (CONG _let_1606 (TRANS _let_1605 _let_1537 _let_1533) :args _let_996)) :args _let_1004)) :args _let_996))) (let ((_let_1613 (ASSUME :args (_let_315)))) (let ((_let_1614 (SYMM _let_1612))) (let ((_let_1615 (ASSUME :args (_let_933)))) (let ((_let_1616 (SYMM _let_1615))) (let ((_let_1617 (TRANS _let_1616 _let_1359))) (let ((_let_1618 (ASSUME :args (_let_482)))) (let ((_let_1619 (ASSUME :args (_let_539)))) (let ((_let_1620 (TRANS (SYMM _let_1619) _let_1347))) (let ((_let_1621 (CONG (TRANS _let_1620 (TRANS _let_1346 _let_1374 _let_1389 _let_1559 (CONG (TRANS _let_1349 (TRANS _let_1615 (SYMM (SYMM _let_1618)) (CONG (TRANS (CONG _let_1617 _let_1538 :args _let_1004) (TRANS _let_1537 _let_1533 _let_1603 _let_1614)) (REFL :args (_let_314)) :args _let_996))) (TRANS _let_1384 _let_1382 _let_1348 _let_1609 (CONG _let_1606 (TRANS _let_1605 _let_1537 _let_1533 _let_1603 _let_1614) :args _let_996)) :args _let_1004))) (REFL :args (_let_312)) :args _let_1004))) (let ((_let_1622 (CONG (TRANS (TRANS _let_1540 _let_1537 _let_1533 _let_1603 _let_1614 _let_1613 (SYMM _let_1621)) (TRANS _let_1621 (SYMM _let_1613) _let_1612 _let_1604 _let_1602 _let_1599 _let_1445 _let_1377 _let_1349) _let_1359) _let_1538 :args _let_1004))) (let ((_let_1623 (ASSUME :args (_let_794)))) (let ((_let_1624 (SYMM _let_1623))) (let ((_let_1625 (CONG (TRANS (CONG _let_1617 _let_1624 :args _let_1004) _let_1595) _let_1538 :args _let_1004))) (let ((_let_1626 (ASSUME :args (_let_620)))) (let ((_let_1627 (SYMM _let_1626))) (let ((_let_1628 (SYMM _let_1627))) (let ((_let_1629 (TRANS (CONG _let_1516 (TRANS _let_1628 _let_1625 _let_1622 _let_1537 _let_1533 _let_1602 _let_1599 _let_1445 _let_1377) :args _let_1004) _let_1520))) (let ((_let_1630 (REFL :args (_let_21)))) (let ((_let_1631 (CONG _let_1630 _let_1629 :args _let_996))) (let ((_let_1632 (ASSUME :args (_let_265)))) (let ((_let_1633 (SYMM _let_1632))) (let ((_let_1634 (SYMM _let_1633))) (let ((_let_1635 (ASSUME :args (_let_696)))) (let ((_let_1636 (SYMM _let_1635))) (let ((_let_1637 (SYMM _let_1246))) (let ((_let_1638 (TRANS _let_1270 _let_1268 _let_1233 _let_1254 _let_1241 _let_1637))) (let ((_let_1639 (CONG (TRANS _let_1234 _let_1245) _let_1638 :args _let_996))) (let ((_let_1640 (SYMM _let_1638))) (let ((_let_1641 (SYMM _let_1250))) (let ((_let_1642 (SYMM _let_1276))) (let ((_let_1643 (CONG (TRANS (TRANS (CONG _let_1275 _let_1640 :args _let_1004) _let_1642 _let_1641 _let_1252 _let_1244) _let_1558 _let_1246) (CONG _let_1560 (TRANS (CONG _let_1275 _let_1640 :args _let_996) _let_1639 _let_1248 _let_1234) :args _let_1004) :args _let_996))) (let ((_let_1644 (ASSUME :args (_let_807)))) (let ((_let_1645 (SYMM _let_1644))) (let ((_let_1646 (SYMM _let_1645))) (let ((_let_1647 (TRANS _let_1234 _let_1142))) (let ((_let_1648 (CONG (TRANS _let_1274 (TRANS _let_1245 _let_1253 _let_1250 _let_1276 (CONG _let_1647 (TRANS _let_1270 _let_1268 _let_1233 _let_1254 _let_1241 _let_1637 _let_1646 _let_1643) :args _let_1004))) _let_1516 :args _let_1004))) (let ((_let_1649 (SYMM _let_1631))) (let ((_let_1650 (SYMM _let_1643))) (let ((_let_1651 (ASSUME :args (_let_709)))) (let ((_let_1652 (SYMM _let_1651))) (let ((_let_1653 (CONG _let_1234 (CONG _let_1338 _let_1244 :args _let_996) :args _let_1004))) (let ((_let_1654 (CONG _let_1653 _let_1247 :args _let_996))) (let ((_let_1655 (CONG (TRANS _let_1244 _let_1188) (TRANS _let_1654 (CONG (REFL :args (_let_38)) (TRANS _let_1244 _let_1182) :args _let_996)) :args _let_1004))) (let ((_let_1656 (CONG (REFL :args (_let_669)) _let_1655 :args _let_996))) (let ((_let_1657 (ASSUME :args (_let_889)))) (let ((_let_1658 (SYMM _let_1657))) (let ((_let_1659 (TRANS _let_1234 (TRANS _let_1245 _let_1264)))) (let ((_let_1660 (CONG (TRANS (TRANS _let_1169 _let_1208 _let_1174 _let_1140) _let_1233) (TRANS _let_1244 _let_1267 _let_1272) :args _let_1004))) (let ((_let_1661 (REFL :args (_let_706)))) (let ((_let_1662 (CONG _let_1264 _let_1661 :args _let_1004))) (let ((_let_1663 (CONG _let_1662 (TRANS _let_1660 (CONG _let_1659 (TRANS _let_1270 _let_1268 _let_1245 (SYMM _let_1658) _let_1656) :args _let_1004)) :args _let_996))) (let ((_let_1664 (ASSUME :args (_let_857)))) (let ((_let_1665 (CONG (SYMM _let_1662) (TRANS (CONG _let_1661 (TRANS (SYMM _let_1656) _let_1658 _let_1244 _let_1183) :args _let_1004) (CONG _let_1661 _let_1185 :args _let_1004) (SYMM _let_1664) _let_1181 _let_1245 _let_1253 _let_1250 _let_1276 (SYMM _let_1660)) :args _let_996))) (let ((_let_1666 (ASSUME :args (_let_751)))) (let ((_let_1667 (SYMM (SYMM _let_1666)))) (let ((_let_1668 (ASSUME :args (_let_796)))) (let ((_let_1669 (ASSUME :args (_let_897)))) (let ((_let_1670 (ASSUME :args (_let_679)))) (let ((_let_1671 (CONG (SYMM _let_1659) (TRANS (CONG (REFL :args (_let_667)) (TRANS (SYMM (SYMM _let_1670)) (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG _let_1654 _let_1084 :args _let_996) (SYMM _let_1669)) _let_1245) (SYMM _let_1668) :args _let_1004) _let_1655 _let_1667 _let_1665 _let_1663 _let_1652 _let_1265 _let_1244) _let_1245) (REFL :args (_let_668)) :args _let_1004) _let_1655 _let_1667 _let_1665 _let_1663 _let_1652 _let_1265) :args _let_1004) _let_1265 _let_1244 _let_1267 _let_1272) :args _let_996))) (let ((_let_1672 (ASSUME :args (_let_670)))) (let ((_let_1673 (SYMM _let_1672))) (let ((_let_1674 (SYMM _let_1673))) (let ((_let_1675 (SYMM _let_1653))) (let ((_let_1676 (TRANS (TRANS _let_1675 _let_1674 _let_1671 _let_1639 _let_1248 _let_1234) _let_1558 _let_1246))) (let ((_let_1677 (TRANS (CONG (SYMM _let_1647) _let_1269 :args _let_1004) (CONG (REFL :args (_let_578)) (TRANS (CONG _let_1676 _let_1516 :args _let_996) _let_1650 _let_1645 _let_1246 _let_1240 _let_1273 _let_1234 _let_1267 _let_1272) :args _let_1004) _let_1642 _let_1641 _let_1252 _let_1244))) (let ((_let_1678 (TRANS _let_1677 _let_1558))) (let ((_let_1679 (CONG _let_1678 (TRANS _let_1649 _let_1633) :args _let_1004))) (let ((_let_1680 (CONG (REFL :args (_let_41)) (TRANS _let_1679 _let_1648 _let_1636 _let_1056 (CONG _let_1058 _let_1077 :args _let_1004) (CONG _let_1058 (TRANS _let_1078 _let_1634 _let_1631) :args _let_1004)) :args _let_996))) (let ((_let_1681 (SYMM _let_1679))) (let ((_let_1682 (SYMM _let_1648))) (let ((_let_1683 (ASSUME :args (_let_759)))) (let ((_let_1684 (SYMM _let_1683))) (let ((_let_1685 (ASSUME :args (_let_390)))) (let ((_let_1686 (ASSUME :args (_let_858)))) (let ((_let_1687 (SYMM _let_1686))) (let ((_let_1688 (ASSUME :args (_let_617)))) (let ((_let_1689 (TRANS _let_1096 _let_1056 _let_1686))) (let ((_let_1690 (TRANS _let_1056 _let_1686))) (let ((_let_1691 (REFL :args (_let_231)))) (let ((_let_1692 (ASSUME :args (_let_754)))) (let ((_let_1693 (TRANS _let_1056 (SYMM (SYMM _let_1692))))) (let ((_let_1694 (CONG _let_1684 (CONG _let_1691 _let_1096 :args _let_996) :args _let_1004))) (let ((_let_1695 (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG (SYMM _let_1694) (SYMM _let_1689) :args _let_1004) (CONG (TRANS _let_1694 (CONG _let_1693 (CONG _let_1691 _let_1690 :args _let_996) :args _let_1004)) _let_1689 :args _let_1004) (SYMM _let_1688) _let_1687 _let_1057) _let_1095) (SYMM _let_1685) :args _let_996) _let_1684) _let_1095) (REFL :args (_let_344)) :args _let_996))) (let ((_let_1696 (ASSUME :args (_let_349)))) (let ((_let_1697 (SYMM _let_1696))) (let ((_let_1698 (CONG _let_1520 _let_1629 :args _let_1004))) (let ((_let_1699 (ASSUME :args (_let_662)))) (let ((_let_1700 (SYMM _let_1699))) (let ((_let_1701 (SYMM _let_1577))) (let ((_let_1702 (TRANS _let_1380 _let_1441 _let_1701))) (let ((_let_1703 (CONG _let_1516 _let_1702 :args _let_1004))) (let ((_let_1704 (REFL :args (_let_28)))) (let ((_let_1705 (CONG _let_1704 (TRANS _let_1517 _let_1703) :args _let_996))) (let ((_let_1706 (ASSUME :args (_let_32)))) (let ((_let_1707 (ASSUME :args (_let_391)))) (let ((_let_1708 (SYMM _let_1707))) (let ((_let_1709 (SYMM _let_1703))) (let ((_let_1710 (CONG _let_1704 _let_1709 :args _let_996))) (let ((_let_1711 (TRANS _let_1346 _let_1374 _let_1389 _let_1559 (CONG _let_1609 (TRANS _let_1384 _let_1382 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1447 _let_1468 _let_1467 _let_1466 _let_1463 _let_1699 _let_1710) :args _let_1004)))) (let ((_let_1712 (SYMM _let_1536))) (let ((_let_1713 (ASSUME :args (_let_647)))) (let ((_let_1714 (CONG _let_1087 (TRANS _let_1425 _let_1422 _let_1397 _let_1086 _let_1346) :args _let_996))) (let ((_let_1715 (CONG (TRANS (TRANS (CONG (REFL :args (_let_646)) (TRANS _let_1714 _let_1536) :args _let_996) (SYMM _let_1713) _let_1712 _let_1628 _let_1625 _let_1622 _let_1537 _let_1533 _let_1602 _let_1599 _let_1445 _let_1377 _let_1349) _let_1711) _let_1606 :args _let_1004))) (let ((_let_1716 (TRANS _let_1715 _let_1708 _let_1520 (SYMM (SYMM _let_1706)) (CONG (TRANS (CONG _let_1633 (TRANS _let_1705 _let_1700 _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377) :args _let_1004) _let_1520) _let_1630 :args _let_1004) (SYMM _let_1698)))) (let ((_let_1717 (SYMM _let_1715))) (let ((_let_1718 (ASSUME :args (_let_877)))) (let ((_let_1719 (SYMM _let_1718))) (let ((_let_1720 (CONG (TRANS (TRANS _let_1707 _let_1717) _let_1716 _let_1698) (TRANS _let_1719 _let_1635 _let_1682 _let_1681) :args _let_996))) (let ((_let_1721 (CONG _let_1060 _let_1115 :args _let_1004))) (let ((_let_1722 (CONG _let_1606 (TRANS _let_1721 _let_1116 _let_1111 _let_1072 _let_1057 _let_1718) :args _let_996))) (let ((_let_1723 (SYMM _let_1722))) (let ((_let_1724 (CONG (TRANS _let_1723 (TRANS _let_1722 _let_1720 _let_1680 _let_1519 _let_1517 _let_1707 _let_1717) _let_1716 _let_1698) (TRANS (SYMM _let_1697) _let_1695 _let_1684 _let_1635 _let_1682 _let_1681) :args _let_996))) (let ((_let_1725 (CONG (REFL :args (_let_653)) (TRANS _let_1683 (SYMM _let_1695) _let_1697) :args _let_996))) (let ((_let_1726 (ASSUME :args (_let_654)))) (let ((_let_1727 (SYMM _let_1726))) (let ((_let_1728 (SYMM _let_1727))) (let ((_let_1729 (TRANS _let_1728 _let_1725 _let_1724 _let_1680 _let_1519 _let_1517))) (let ((_let_1730 (ASSUME :args (_let_697)))) (let ((_let_1731 (ASSUME :args (_let_619)))) (let ((_let_1732 (SYMM _let_1731))) (let ((_let_1733 (CONG _let_1581 (CONG _let_1037 (TRANS _let_1562 _let_1561 _let_1556 _let_1376 _let_1386 _let_1438 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1569 _let_1568 _let_1567 _let_1566) :args _let_996) :args _let_1004))) (let ((_let_1734 (CONG _let_1037 (TRANS _let_1515 _let_1348 _let_1390 _let_1387 _let_1385 _let_1555 _let_1574 _let_1573) :args _let_996))) (let ((_let_1735 (ASSUME :args (_let_762)))) (let ((_let_1736 (TRANS (CONG (SYMM _let_1735) _let_1734 :args _let_1004) _let_1733))) (let ((_let_1737 (ASSUME :args (_let_119)))) (let ((_let_1738 (SYMM _let_1737))) (let ((_let_1739 (CONG _let_1470 (TRANS _let_1384 _let_1382 _let_1085 _let_1396 _let_1585 _let_1424) :args _let_1004))) (let ((_let_1740 (ASSUME :args (_let_394)))) (let ((_let_1741 (ASSUME :args (_let_876)))) (let ((_let_1742 (REFL :args (_let_107)))) (let ((_let_1743 (ASSUME :args (_let_437)))) (let ((_let_1744 (CONG _let_1733 (TRANS _let_1347 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1569 _let_1568 _let_1567 _let_1566) :args _let_996))) (let ((_let_1745 (CONG (TRANS (SYMM _let_1532) _let_1578) (TRANS (CONG (REFL :args (_let_92)) (SYMM _let_1535) :args _let_996) _let_1744) :args _let_1004))) (let ((_let_1746 (CONG (REFL :args (_let_80)) _let_1745 :args _let_996))) (let ((_let_1747 (SYMM (TRANS _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1569 _let_1568 _let_1567 _let_1566 _let_1731)))) (let ((_let_1748 (CONG (TRANS _let_1747 (SYMM _let_1426)) _let_1742 :args _let_1004))) (let ((_let_1749 (CONG _let_1748 (TRANS (CONG _let_1742 (TRANS _let_1746 (SYMM _let_1743) _let_1500 _let_1564 _let_1554 _let_1552 _let_1741) :args _let_1004) (CONG _let_1742 (TRANS (SYMM _let_1741) _let_1447 _let_1468 _let_1467 _let_1466 _let_1463) :args _let_1004) (SYMM _let_1740) _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349 _let_1346 _let_1374 _let_1389 _let_1559 _let_1739) :args _let_996))) (let ((_let_1750 (ASSUME :args (_let_173)))) (let ((_let_1751 (SYMM (SYMM _let_1750)))) (let ((_let_1752 (SYMM _let_1745))) (let ((_let_1753 (REFL :args (_let_79)))) (let ((_let_1754 (TRANS _let_1086 _let_1578))) (let ((_let_1755 (CONG _let_1754 _let_1753 :args _let_1004))) (let ((_let_1756 (CONG (TRANS _let_1755 _let_1752 _let_1751 _let_1749) _let_1409 :args _let_996))) (let ((_let_1757 (ASSUME :args (_let_111)))) (let ((_let_1758 (CONG (TRANS (SYMM _let_1748) (CONG (TRANS _let_1747 (TRANS _let_1346 _let_1374 _let_1389 _let_1559 (CONG (TRANS _let_1349 (TRANS _let_1085 _let_1396 _let_1585 _let_1424 _let_1737 (SYMM _let_1756) (CONG (TRANS _let_1755 _let_1752) _let_1409 :args _let_996))) (TRANS _let_1384 _let_1382 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1569 _let_1568 _let_1567 _let_1566 _let_1743 (SYMM _let_1746)) :args _let_1004))) _let_1742 :args _let_1004) (SYMM _let_1757) _let_1745 (SYMM _let_1755)) (TRANS (SYMM _let_1739) _let_1393 _let_1379 _let_1375 _let_1347 _let_1085 _let_1396 _let_1585 _let_1424) :args _let_996))) (let ((_let_1759 (ASSUME :args (_let_203)))) (let ((_let_1760 (CONG _let_1538 _let_1086 :args _let_996))) (let ((_let_1761 (ASSUME :args (_let_467)))) (let ((_let_1762 (SYMM _let_1760))) (let ((_let_1763 (TRANS _let_1615 _let_1762))) (let ((_let_1764 (ASSUME :args (_let_412)))) (let ((_let_1765 (SYMM _let_1764))) (let ((_let_1766 (CONG _let_1704 (CONG (REFL :args (_let_372)) (TRANS _let_1577 _let_1445 _let_1377 _let_1349 _let_1615 _let_1762) :args _let_1004) :args _let_996))) (let ((_let_1767 (ASSUME :args (_let_658)))) (let ((_let_1768 (SYMM _let_1767))) (let ((_let_1769 (REFL :args (_let_373)))) (let ((_let_1770 (ASSUME :args (_let_736)))) (let ((_let_1771 (SYMM _let_1579))) (let ((_let_1772 (ASSUME :args (_let_560)))) (let ((_let_1773 (CONG (TRANS (TRANS (CONG (TRANS (TRANS (SYMM _let_1772) _let_1760 _let_1616) _let_1348) (TRANS (SYMM _let_1766) _let_1768 _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349 _let_1381 _let_1394) :args _let_1004) _let_1393 _let_1379 _let_1375 _let_1347) _let_1771) _let_1769 :args _let_1004))) (let ((_let_1774 (ASSUME :args (_let_377)))) (let ((_let_1775 (SYMM _let_1774))) (let ((_let_1776 (CONG (TRANS (SYMM _let_1775) _let_1773) (TRANS (SYMM (SYMM _let_1770)) (CONG _let_1769 (TRANS _let_1086 _let_1346 _let_1430) :args _let_1004) (CONG _let_1769 (TRANS _let_1429 _let_1347 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1447 _let_1468 _let_1467 _let_1466 _let_1463 (SYMM _let_1768) _let_1766) :args _let_1004)) :args _let_996))) (let ((_let_1777 (CONG _let_1769 (TRANS _let_1611 _let_1347 _let_1085) :args 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(let ((_let_1799 (REFL :args (_let_142)))) (let ((_let_1800 (CONG _let_1799 (CONG _let_1779 _let_1798 :args _let_1004) :args _let_996))) (let ((_let_1801 (ASSUME :args (_let_487)))) (let ((_let_1802 (SYMM _let_1801))) (let ((_let_1803 (ASSUME :args (_let_804)))) (let ((_let_1804 (SYMM _let_1803))) (let ((_let_1805 (CONG (REFL :args (_let_803)) _let_1133 :args _let_996))) (let ((_let_1806 (ASSUME :args (_let_436)))) (let ((_let_1807 (TRANS _let_1213 _let_1145 _let_1163 _let_1160 _let_1277 _let_1278 _let_1131))) (let ((_let_1808 (SYMM _let_1213))) (let ((_let_1809 (TRANS _let_1165 _let_1808 _let_1807 _let_1151))) (let ((_let_1810 (CONG _let_1809 (TRANS _let_1803 (SYMM _let_1805)) :args _let_1004))) (let ((_let_1811 (TRANS _let_1156 _let_1810 (CONG (TRANS _let_1152 _let_1791) (TRANS _let_1805 _let_1804 _let_1130 _let_1790 _let_1789 _let_1167 _let_1162 _let_1165) :args _let_1004)))) (let ((_let_1812 (SYMM _let_1811))) (let ((_let_1813 (CONG (TRANS _let_1812 (TRANS _let_1156 _let_1810 (CONG (TRANS _let_1152 (TRANS _let_1796 (SYMM (SYMM _let_1806)))) (TRANS _let_1805 _let_1804 _let_1130 _let_1790 _let_1789 _let_1167 _let_1162 _let_1165 (SYMM _let_1802) _let_1800) :args _let_1004))) _let_1786 :args _let_1004))) (let ((_let_1814 (CONG _let_1811 _let_1786 :args _let_1004))) (let ((_let_1815 (CONG (TRANS _let_1814 _let_1813 (SYMM _let_1793)) _let_1792 :args _let_996))) (let ((_let_1816 (ASSUME :args (_let_571)))) (let ((_let_1817 (TRANS (CONG (SYMM _let_1166) _let_1164 :args _let_996) _let_1158 _let_1148))) (let ((_let_1818 (TRANS _let_1148 (SYMM _let_1817)))) (let ((_let_1819 (CONG _let_1818 _let_1817 :args _let_996))) (let ((_let_1820 (CONG (REFL :args (_let_184)) _let_1818 :args _let_996))) (let ((_let_1821 (TRANS _let_1820 _let_1819 _let_1795))) (let ((_let_1822 (SYMM _let_1820))) (let ((_let_1823 (SYMM _let_1819))) (let ((_let_1824 (CONG (SYMM _let_1814) (TRANS (CONG _let_1786 (TRANS (SYMM _let_1800) _let_1802 _let_1145 _let_1163 _let_1160 _let_1277 _let_1278 _let_1131 _let_1796 _let_1823 _let_1822) :args _let_1004) (CONG _let_1786 _let_1821 :args _let_1004) (SYMM _let_1816) _let_1130 _let_1790 _let_1789 _let_1167 _let_1162 _let_1165) :args _let_996))) (let ((_let_1825 (ASSUME :args (_let_181)))) (let ((_let_1826 (SYMM (SYMM _let_1825)))) (let ((_let_1827 (CONG (TRANS _let_1793 (SYMM _let_1813) (CONG (TRANS _let_1812 _let_1788) (TRANS _let_1826 _let_1824 _let_1815 (SYMM _let_1787)) :args _let_1004) (CONG (SYMM _let_1788) _let_1787 :args _let_1004)) (SYMM (SYMM _let_1784)) :args _let_996))) (let ((_let_1828 (TRANS _let_1826 _let_1824 _let_1815 _let_1827))) (let ((_let_1829 (CONG _let_1828 _let_1037 :args _let_996))) (let ((_let_1830 (CONG (TRANS _let_1828 (TRANS (SYMM _let_1827) _let_1829 _let_1783)) (TRANS _let_1733 (SYMM (SYMM _let_1781)) (CONG (TRANS _let_1747 _let_1348) (TRANS (CONG (SYMM _let_1736) (TRANS (SYMM (SYMM _let_1780)) (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG (TRANS (SYMM _let_1744) (CONG (CONG _let_1763 _let_1779 :args _let_1004) (TRANS _let_1347 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1569 _let_1568 _let_1567 _let_1566 (SYMM (SYMM _let_1778)) (CONG (TRANS (CONG (TRANS (CONG (TRANS (SYMM _let_1578) (SYMM _let_1620)) (SYMM _let_1777) :args _let_1004) (CONG (TRANS _let_1620 _let_1771) (TRANS _let_1777 _let_1776 _let_1765) :args _let_1004) (SYMM _let_1773) _let_1775) (TRANS _let_1732 _let_1500 _let_1564 _let_1554 _let_1552 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349 _let_1085) :args _let_996) _let_1776 _let_1765) (SYMM _let_1754) :args _let_996) _let_1776 _let_1765) :args _let_996)) _let_1763 :args _let_996) (SYMM _let_1761) _let_1760 _let_1616) _let_1578) (SYMM _let_1759) :args _let_1004) _let_1752 _let_1751 _let_1749 _let_1758 _let_1756 _let_1738 _let_1425 _let_1422 _let_1397 _let_1086) _let_1578) _let_1753 :args _let_1004) _let_1752 _let_1751 _let_1749 _let_1758 _let_1756 _let_1738 _let_1425 _let_1422 _let_1397 _let_1086 _let_1514) :args _let_1004) (CONG _let_1736 (TRANS _let_1515 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1569 _let_1568 _let_1567 _let_1566) :args _let_1004) _let_1732 _let_1500 _let_1564 _let_1554 _let_1552 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349 _let_1381 _let_1394) :args _let_996) _let_1445 _let_1377 _let_1349 _let_1514) :args _let_996))) (let ((_let_1831 (CONG _let_1786 (CONG _let_1563 _let_1779 :args _let_1004) :args _let_996))) (let ((_let_1832 (TRANS _let_1831 _let_1830 (CONG (CONG (TRANS (SYMM (SYMM _let_1730)) (CONG (TRANS (TRANS (CONG (TRANS _let_1443 _let_1348) (TRANS _let_1561 _let_1556 _let_1376 _let_1386 _let_1438 _let_1349 _let_1381 _let_1394) :args _let_1004) _let_1393 _let_1379 _let_1375 _let_1347) _let_1391) _let_998 :args _let_1004) (CONG (SYMM _let_1392) _let_998 :args _let_1004)) _let_1729 :args _let_996) (TRANS _let_1515 _let_1348) :args _let_996) (SYMM _let_1513) _let_1349))) (let ((_let_1833 (TRANS (SYMM _let_1734) (SYMM _let_1830) (SYMM _let_1831)))) (let ((_let_1834 (ASSUME :args (_let_945)))) (let ((_let_1835 (SYMM _let_1834))) (let ((_let_1836 (ASSUME :args (_let_956)))) (let ((_let_1837 (SYMM _let_1836))) (let ((_let_1838 (CONG _let_1835 (CONG (REFL :args (_let_250)) _let_1837 :args _let_996) :args _let_1004))) (let ((_let_1839 (REFL :args (_let_685)))) (let ((_let_1840 (CONG _let_1839 _let_1838 :args _let_996))) (let ((_let_1841 (ASSUME :args (_let_829)))) (let ((_let_1842 (ASSUME :args (_let_863)))) (let ((_let_1843 (TRANS _let_1840 _let_1835 _let_1836))) (let ((_let_1844 (ASSUME :args (_let_909)))) (let ((_let_1845 (CONG _let_1839 (TRANS _let_1834 (CONG (TRANS _let_1837 (TRANS _let_1834 (CONG (TRANS _let_1837 (TRANS _let_1836 (SYMM (SYMM _let_1844)) (CONG (REFL :args (_let_908)) (SYMM _let_1843) :args _let_1004) (CONG _let_1838 _let_1843 :args _let_1004))) (SYMM (SYMM _let_1842)) :args _let_996))) (REFL :args (_let_824)) :args _let_996) (SYMM _let_1841) (SYMM _let_1838)) :args _let_996))) (let ((_let_1846 (ASSUME :args (_let_690)))) (let ((_let_1847 (SYMM _let_1846))) (let ((_let_1848 (SYMM _let_1845))) (let ((_let_1849 (SYMM _let_1840))) (let ((_let_1850 (SYMM _let_1671))) (let ((_let_1851 (SYMM _let_1639))) (let ((_let_1852 (SYMM _let_1248))) (let ((_let_1853 (ASSUME :args (_let_944)))) (let ((_let_1854 (SYMM _let_1853))) (let ((_let_1855 (ASSUME :args (_let_955)))) (let ((_let_1856 (SYMM _let_1855))) (let ((_let_1857 (CONG _let_1854 (CONG (REFL :args (_let_687)) _let_1856 :args _let_996) :args _let_1004))) (let ((_let_1858 (CONG (REFL :args (_let_688)) _let_1857 :args _let_996))) (let ((_let_1859 (ASSUME :args (_let_836)))) (let ((_let_1860 (ASSUME :args (_let_864)))) (let ((_let_1861 (TRANS _let_1858 _let_1854 _let_1855))) (let ((_let_1862 (CONG (REFL :args (_let_906)) (SYMM _let_1861) :args _let_1004))) (let ((_let_1863 (ASSUME :args (_let_907)))) (let ((_let_1864 (SYMM (SYMM _let_1863)))) (let ((_let_1865 (CONG (TRANS _let_1856 (TRANS _let_1853 (CONG (TRANS _let_1856 (TRANS _let_1855 _let_1864 _let_1862 (CONG _let_1857 _let_1861 :args _let_1004))) (SYMM (SYMM _let_1860)) :args _let_996))) (REFL :args (_let_831)) :args _let_996))) (let ((_let_1866 (ASSUME :args (_let_951)))) (let ((_let_1867 (SYMM _let_1866))) (let ((_let_1868 (ASSUME :args (_let_960)))) (let ((_let_1869 (SYMM _let_1868))) (let ((_let_1870 (CONG (REFL :args (_let_639)) _let_1869 :args _let_996))) (let ((_let_1871 (TRANS _let_1869 _let_1855))) (let ((_let_1872 (SYMM _let_1870))) (let ((_let_1873 (ASSUME :args (_let_784)))) (let ((_let_1874 (CONG (TRANS _let_1869 (TRANS _let_1855 _let_1864 _let_1862 (CONG (TRANS (TRANS _let_1857 _let_1859 (SYMM _let_1865) _let_1854) _let_1868) (TRANS _let_1858 _let_1854 _let_1866 _let_1872) :args _let_1004) (CONG (CONG (TRANS _let_1834 _let_1849 _let_1848) (REFL :args (_let_248)) :args _let_996) (TRANS _let_1870 _let_1867 _let_1855 (SYMM (SYMM _let_1873)) (CONG (REFL :args (_let_689)) (TRANS (CONG _let_1084 (TRANS (CONG (SYMM _let_1871) (TRANS _let_1856 _let_1866 _let_1872) :args _let_996) (CONG _let_1871 (TRANS _let_1870 _let_1867 _let_1853 _let_1865 (SYMM _let_1859) (SYMM _let_1857)) :args _let_996) _let_1858 _let_1854) :args _let_1004) _let_1834 _let_1849 _let_1848) :args _let_996)) :args _let_1004))) (TRANS _let_1143 _let_1233 _let_1852 _let_1851 _let_1850 _let_1673 _let_1653 _let_1834 _let_1849 _let_1848) :args _let_1004))) (let ((_let_1875 (ASSUME :args (_let_489)))) (let ((_let_1876 (SYMM _let_1875))) (let ((_let_1877 (SYMM _let_1874))) (let ((_let_1878 (TRANS _let_1270 _let_1268 _let_1233 _let_1852 _let_1851 _let_1850 _let_1673 _let_1653 _let_1834 _let_1849 _let_1848 _let_1846 _let_1877))) (let ((_let_1879 (TRANS _let_1234 (TRANS _let_1233 _let_1852 _let_1851 _let_1850 _let_1673 _let_1653 _let_1834 _let_1849 _let_1848 _let_1846 _let_1877)))) (let ((_let_1880 (CONG _let_1879 _let_1878 :args _let_996))) (let ((_let_1881 (TRANS _let_1063 _let_1113 _let_1055))) (let ((_let_1882 (CONG _let_1676 _let_1881 :args _let_996))) (let ((_let_1883 (REFL :args (_let_245)))) (let ((_let_1884 (CONG _let_1883 (TRANS _let_1882 _let_1650 _let_1645 _let_1246 _let_1240 _let_1273 _let_1852 _let_1851 _let_1880) :args _let_1004))) (let ((_let_1885 (ASSUME :args (_let_890)))) (let ((_let_1886 (SYMM _let_1885))) (let ((_let_1887 (SYMM _let_1886))) (let ((_let_1888 (CONG _let_1058 (CONG _let_1338 _let_1143 :args _let_1004) :args _let_996))) (let ((_let_1889 (TRANS _let_1888 _let_1887))) (let ((_let_1890 (CONG _let_1889 (REFL :args (_let_448)) :args _let_1004))) (let ((_let_1891 (REFL :args (_let_251)))) (let ((_let_1892 (CONG _let_1891 (TRANS _let_1890 _let_1884) :args _let_996))) (let ((_let_1893 (SYMM _let_1882))) (let ((_let_1894 (CONG _let_1883 (TRANS _let_1143 _let_1233 _let_1254 _let_1241 _let_1637 _let_1646 _let_1643 _let_1893) :args _let_1004))) (let ((_let_1895 (ASSUME :args (_let_269)))) (let ((_let_1896 (SYMM _let_1895))) (let ((_let_1897 (SYMM _let_1894))) (let ((_let_1898 (ASSUME :args (_let_853)))) (let ((_let_1899 (SYMM _let_1898))) (let ((_let_1900 (SYMM _let_1889))) (let ((_let_1901 (REFL :args (_let_246)))) (let ((_let_1902 (CONG _let_1901 (TRANS (CONG _let_1883 (TRANS (CONG _let_1900 _let_1150 :args _let_996) _let_1899 _let_1143 _let_1233 _let_1254 _let_1241 _let_1637 _let_1646 _let_1643 _let_1893) :args _let_1004) _let_1897) :args _let_996))) (let ((_let_1903 (ASSUME :args (_let_481)))) (let ((_let_1904 (SYMM _let_1903))) (let ((_let_1905 (SYMM _let_1904))) (let ((_let_1906 (ASSUME :args (_let_800)))) (let ((_let_1907 (SYMM _let_1906))) (let ((_let_1908 (REFL :args (_let_288)))) (let ((_let_1909 (CONG _let_1908 _let_1888 :args _let_996))) (let ((_let_1910 (CONG _let_1908 _let_1900 :args _let_996))) (let ((_let_1911 (CONG _let_1886 (TRANS _let_1910 _let_1909 _let_1907 _let_1887 _let_1905 _let_1902) :args _let_1004))) (let ((_let_1912 (SYMM _let_1910))) (let ((_let_1913 (SYMM _let_1909))) (let ((_let_1914 (ASSUME :args (_let_476)))) (let ((_let_1915 (SYMM _let_1914))) (let ((_let_1916 (REFL :args (_let_410)))) (let ((_let_1917 (CONG _let_1916 (CONG _let_1516 _let_1887 :args _let_1004) :args _let_996))) (let ((_let_1918 (REFL :args (_let_68)))) (let ((_let_1919 (CONG _let_1887 _let_1918 :args _let_1004))) (let ((_let_1920 (TRANS (CONG _let_1919 _let_1065 :args _let_996) _let_1917))) (let ((_let_1921 (CONG _let_1920 _let_1887 :args _let_996))) (let ((_let_1922 (REFL :args (_let_66)))) (let ((_let_1923 (SYMM _let_1919))) (let ((_let_1924 (ASSUME :args (_let_411)))) (let ((_let_1925 (CONG _let_1060 _let_1115 :args _let_996))) (let ((_let_1926 (CONG _let_1883 (TRANS _let_1925 _let_1061) :args _let_1004))) (let ((_let_1927 (REFL :args (_let_156)))) (let ((_let_1928 (ASSUME :args (_let_657)))) (let ((_let_1929 (SYMM (SYMM _let_1928)))) (let ((_let_1930 (TRANS _let_1063 _let_1113 _let_1055 _let_1077))) (let ((_let_1931 (CONG _let_1916 _let_1930 :args _let_1004))) (let ((_let_1932 (CONG _let_1678 _let_1881 :args _let_1004))) (let ((_let_1933 (SYMM _let_1116))) (let ((_let_1934 (TRANS _let_1056 _let_1073 _let_1070 _let_1933 (SYMM _let_1721)))) (let ((_let_1935 (CONG (CONG (TRANS _let_1881 _let_1934) _let_1916 :args _let_1004) (TRANS _let_1932 _let_1648 _let_1636 _let_1054 _let_1074 _let_1064 _let_1067 _let_1931 (CONG _let_1916 (TRANS _let_1078 _let_1056 _let_1929 (CONG _let_1927 _let_1926 :args _let_996)) :args _let_1004)) :args _let_996))) (let ((_let_1936 (ASSUME :args (_let_386)))) (let ((_let_1937 (CONG (REFL :args ((tptp.meet _let_67 _let_410))) (TRANS (CONG (REFL :args (_let_385)) _let_1881 :args _let_1004) (SYMM _let_1936) _let_1635 _let_1682 (SYMM _let_1932)) :args _let_996))) (let ((_let_1938 (ASSUME :args (_let_355)))) (let ((_let_1939 (SYMM _let_1926))) (let ((_let_1940 (ASSUME :args (_let_387)))) (let ((_let_1941 (SYMM _let_1934))) (let ((_let_1942 (CONG (TRANS (TRANS _let_1054 _let_1112 (CONG (TRANS _let_1057 (TRANS _let_1056 _let_1929 (CONG (TRANS _let_1941 (TRANS _let_1056 _let_1929 (CONG (TRANS _let_1941 (TRANS _let_1054 _let_1074 _let_1064 _let_1067 _let_1931 (CONG _let_1939 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((_let_1952 (CONG _let_1951 (SYMM _let_1946) :args _let_1004))) (let ((_let_1953 (ASSUME :args (_let_432)))) (let ((_let_1954 (SYMM _let_1953))) (let ((_let_1955 (ASSUME :args (_let_574)))) (let ((_let_1956 (SYMM (SYMM _let_1955)))) (let ((_let_1957 (SYMM _let_1952))) (let ((_let_1958 (SYMM _let_1950))) (let ((_let_1959 (ASSUME :args (_let_433)))) (let ((_let_1960 (CONG _let_1883 (TRANS (CONG _let_1058 _let_1881 :args _let_996) _let_1906 _let_1913 _let_1912) :args _let_1004))) (let ((_let_1961 (TRANS _let_1960 _let_1958 _let_1957))) (let ((_let_1962 (ASSUME :args (_let_655)))) (let ((_let_1963 (TRANS (CONG _let_1949 (TRANS (CONG (REFL :args (_let_364)) _let_1945 :args _let_996) (SYMM _let_1962) _let_1906 _let_1913 _let_1912) :args _let_1004) (SYMM _let_1960)))) (let ((_let_1964 (CONG (TRANS _let_1963 _let_1961) (TRANS _let_1944 _let_1888 _let_1887 (SYMM (SYMM _let_1959)) (CONG (REFL :args (_let_289)) (TRANS _let_1958 _let_1957) :args _let_996)) :args _let_1004))) (let ((_let_1965 (ASSUME :args (_let_368)))) (let ((_let_1966 (SYMM _let_1965))) (let ((_let_1967 (SYMM _let_1964))) (let ((_let_1968 (ASSUME :args (_let_473)))) (let ((_let_1969 (SYMM _let_1968))) (let ((_let_1970 (CONG _let_1899 (TRANS _let_1909 _let_1907) :args _let_1004))) (let ((_let_1971 (ASSUME :args (_let_483)))) (let ((_let_1972 (SYMM _let_1971))) (let ((_let_1973 (REFL :args (_let_294)))) (let ((_let_1974 (SYMM _let_1970))) (let ((_let_1975 (CONG _let_1974 _let_1973 :args _let_996))) (let ((_let_1976 (ASSUME :args (_let_764)))) (let ((_let_1977 (SYMM _let_1976))) (let ((_let_1978 (ASSUME :args (_let_621)))) (let ((_let_1979 (SYMM _let_1978))) (let ((_let_1980 (ASSUME :args (_let_404)))) (let ((_let_1981 (SYMM _let_1888))) (let ((_let_1982 (CONG (CONG _let_1951 (CONG _let_1150 (SYMM _let_1945) :args _let_996) :args _let_1004) (TRANS (SYMM _let_1975) _let_1977 _let_1981 _let_1943) :args _let_1004))) (let ((_let_1983 (CONG (REFL :args (_let_322)) (TRANS _let_1982 (SYMM _let_1980) _let_1944 (SYMM _let_1979) (CONG (REFL :args (_let_320)) (TRANS _let_1888 (SYMM _let_1977) _let_1975) :args _let_1004)) :args _let_996))) (let ((_let_1984 (ASSUME :args (_let_323)))) (let ((_let_1985 (SYMM _let_1984))) (let ((_let_1986 (SYMM _let_1985))) (let ((_let_1987 (CONG _let_1516 _let_1888 :args _let_996))) (let ((_let_1988 (TRANS _let_1987 _let_1942 _let_1921 _let_1915 _let_1886))) (let ((_let_1989 (CONG _let_1988 (CONG _let_1899 _let_1988 :args _let_996) :args _let_1004))) (let ((_let_1990 (SYMM _let_1989))) (let ((_let_1991 (SYMM _let_1983))) (let ((_let_1992 (CONG (TRANS _let_1244 _let_1142) _let_1922 :args _let_1004))) (let ((_let_1993 (TRANS _let_1992 _let_1974 _let_1971 _let_1991 _let_1985 _let_1990))) (let ((_let_1994 (SYMM _let_1992))) (let ((_let_1995 (TRANS _let_1835 _let_1675 _let_1674 _let_1671 _let_1639 _let_1248 _let_1234))) (let ((_let_1996 (REFL :args (_let_361)))) (let ((_let_1997 (TRANS _let_1899 _let_1143))) (let ((_let_1998 (CONG (TRANS (TRANS _let_1837 _let_1675 _let_1674 _let_1671 _let_1639 _let_1248 _let_1234) (SYMM _let_1997)) _let_1996 :args _let_1004))) (let ((_let_1999 (TRANS _let_1998 (CONG (TRANS _let_1997 (SYMM _let_1995)) _let_1996 :args _let_1004) (CONG (TRANS _let_1995 _let_1142) _let_1988 :args _let_1004) _let_1994))) (let ((_let_2000 (SYMM _let_1998))) (let ((_let_2001 (ASSUME :args (_let_565)))) (let ((_let_2002 (SYMM _let_1987))) (let ((_let_2003 (SYMM _let_1942))) (let ((_let_2004 (SYMM _let_1921))) (let ((_let_2005 (CONG (TRANS _let_1981 (TRANS _let_1888 _let_1887 _let_1914 _let_2004 _let_2003 _let_2002 (SYMM (SYMM _let_2001)) (CONG (TRANS _let_2000 _let_1999 _let_1993 _let_1989) (TRANS _let_1989 _let_1986 _let_1983 _let_1972 _let_1970) :args _let_996))) (TRANS _let_1942 _let_1921 _let_1915 _let_1886) :args _let_996))) (let ((_let_2006 (CONG (TRANS (TRANS _let_2005 _let_1969) _let_1887) (TRANS _let_1913 _let_1912) :args _let_1004))) (let ((_let_2007 (ASSUME :args (_let_763)))) (let ((_let_2008 (SYMM _let_2007))) (let ((_let_2009 (ASSUME :args (_let_543)))) (let ((_let_2010 (CONG (SYMM _let_2009) (TRANS _let_2008 _let_1942 _let_1921 _let_1915 _let_1886 _let_1906) :args _let_1004))) (let ((_let_2011 (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG (TRANS (TRANS _let_1967 _let_1966 _let_1944 _let_1888) _let_1887) (TRANS _let_1942 _let_1921 _let_1915 _let_1886 _let_1906 _let_1913 _let_1912) :args _let_1004) _let_1958 _let_1957) _let_1956) (TRANS (CONG (TRANS (TRANS (CONG _let_2009 _let_2007 :args _let_1004) _let_2010 _let_2006 _let_1958 _let_1957) (SYMM _let_1961) (SYMM _let_1963)) (TRANS _let_1967 _let_1966) :args _let_1004) _let_1964) :args _let_996) _let_1954) _let_1956) (REFL :args (_let_290)) :args _let_996))) (let ((_let_2012 (ASSUME :args (_let_292)))) (let ((_let_2013 (SYMM _let_2012))) (let ((_let_2014 (SYMM _let_2013))) (let ((_let_2015 (ASSUME :args (_let_254)))) (let ((_let_2016 (TRANS (SYMM (SYMM _let_2015)) (CONG (TRANS (CONG _let_1904 (TRANS (CONG _let_1891 (TRANS _let_1894 _let_1884) :args _let_996) _let_1876 _let_1874 _let_1847 _let_1845 _let_1840 _let_1835 _let_1675 _let_1674 _let_1671 _let_1639 _let_1248 _let_1254 _let_1241 _let_1637 _let_1646 _let_1643 _let_1893) :args _let_1004) _let_1897) _let_1901 :args _let_1004)))) (let ((_let_2017 (ASSUME :args (_let_449)))) (let ((_let_2018 (ASSUME :args (_let_561)))) (let ((_let_2019 (SYMM _let_2018))) (let ((_let_2020 (ASSUME :args (_let_317)))) (let ((_let_2021 (SYMM _let_2020))) (let ((_let_2022 (ASSUME :args (_let_730)))) (let ((_let_2023 (SYMM _let_2022))) (let ((_let_2024 (CONG (TRANS _let_1133 _let_1149) (REFL :args (_let_216)) :args _let_1004))) (let ((_let_2025 (REFL :args (_let_186)))) (let ((_let_2026 (ASSUME :args (_let_500)))) (let ((_let_2027 (TRANS _let_1130 _let_1790 _let_1789 _let_1167 _let_1162))) (let ((_let_2028 (ASSUME :args (_let_664)))) (let ((_let_2029 (SYMM _let_2028))) (let ((_let_2030 (REFL :args (_let_190)))) (let ((_let_2031 (ASSUME :args (_let_849)))) (let ((_let_2032 (TRANS _let_1443 _let_1085))) (let ((_let_2033 (CONG _let_2032 (SYMM (SYMM _let_2031)) :args _let_1004))) (let ((_let_2034 (CONG _let_2033 _let_2030 :args _let_996))) (let ((_let_2035 (ASSUME :args (_let_931)))) (let ((_let_2036 (SYMM _let_2035))) (let ((_let_2037 (SYMM _let_2036))) (let ((_let_2038 (REFL :args (_let_499)))) (let ((_let_2039 (ASSUME :args (_let_745)))) (let ((_let_2040 (SYMM (SYMM _let_2039)))) (let ((_let_2041 (ASSUME :args (_let_874)))) (let ((_let_2042 (SYMM _let_2041))) (let ((_let_2043 (ASSUME :args (_let_634)))) (let ((_let_2044 (ASSUME :args (_let_758)))) (let ((_let_2045 (SYMM _let_2044))) (let ((_let_2046 (CONG (CONG (SYMM _let_2045) (CONG _let_1342 _let_2041 :args _let_996) :args _let_1004) (TRANS (SYMM _let_2034) _let_2036 _let_2041) :args _let_1004))) (let ((_let_2047 (CONG (REFL :args (_let_508)) (TRANS _let_2046 (SYMM _let_2043) _let_2042 _let_2040 (CONG _let_2038 (TRANS _let_2037 _let_2034) :args _let_1004)) :args _let_996))) (let ((_let_2048 (SYMM _let_1417))) (let ((_let_2049 (REFL :args (_let_525)))) (let ((_let_2050 (ASSUME :args (_let_793)))) (let ((_let_2051 (ASSUME :args (_let_896)))) (let ((_let_2052 (CONG (TRANS (SYMM _let_2051) _let_1086) (SYMM _let_2050) :args _let_1004))) (let ((_let_2053 (TRANS _let_2052 (CONG (SYMM _let_1408) _let_2049 :args _let_1004)))) (let ((_let_2054 (CONG _let_1869 (REFL :args (_let_109)) :args _let_1004))) (let ((_let_2055 (CONG (REFL :args (_let_524)) _let_2054 :args _let_996))) (let ((_let_2056 (ASSUME :args (_let_641)))) (let ((_let_2057 (SYMM _let_2055))) (let ((_let_2058 (ASSUME :args (_let_609)))) (let ((_let_2059 (ASSUME :args (_let_749)))) (let ((_let_2060 (SYMM _let_2059))) (let ((_let_2061 (CONG _let_2049 _let_1418 :args _let_1004))) (let ((_let_2062 (REFL :args (_let_526)))) (let ((_let_2063 (CONG _let_2062 (TRANS _let_2061 (CONG _let_2049 (TRANS _let_2048 _let_1397 _let_2051) :args _let_1004)) :args _let_996))) (let ((_let_2064 (TRANS _let_1349 _let_1085 _let_1396 _let_1417))) (let ((_let_2065 (CONG _let_2049 _let_2064 :args _let_1004))) (let ((_let_2066 (SYMM _let_2065))) (let ((_let_2067 (ASSUME :args (_let_627)))) (let ((_let_2068 (SYMM _let_2061))) (let ((_let_2069 (CONG (TRANS (SYMM _let_1586) (TRANS _let_1348 _let_1390 _let_1387 (CONG _let_1348 (REFL :args (_let_33)) :args _let_1004))) _let_2066 :args _let_996))) (let ((_let_2070 (ASSUME :args (_let_777)))) (let ((_let_2071 (SYMM _let_2070))) (let ((_let_2072 (TRANS (CONG (TRANS _let_2061 (CONG _let_2059 (TRANS _let_2048 _let_1585 _let_1424 (SYMM _let_2071) _let_2069 (CONG (REFL :args (_let_585)) (TRANS _let_2065 _let_2068) :args _let_996)) :args _let_1004)) _let_2062 :args _let_1004) (SYMM _let_2067) _let_2061 _let_2066))) (let ((_let_2073 (ASSUME :args (_let_660)))) (let ((_let_2074 (CONG (TRANS _let_2072 (TRANS _let_2065 _let_2068 (SYMM (SYMM _let_2073)) (CONG (TRANS _let_2072 (TRANS _let_2065 (CONG _let_2057 (SYMM _let_2064) :args _let_1004))) (CONG (REFL :args (_let_640)) (TRANS _let_2063 _let_2060 _let_2057) :args _let_1004) :args _let_996))) (TRANS (CONG (SYMM _let_2053) (TRANS _let_2063 _let_2060) :args _let_1004) (SYMM _let_2058) _let_2057) :args _let_996))) (let ((_let_2075 (ASSUME :args (_let_532)))) (let ((_let_2076 (SYMM _let_2075))) (let ((_let_2077 (ASSUME :args (_let_884)))) (let ((_let_2078 (ASSUME :args (_let_588)))) (let ((_let_2079 (SYMM _let_2074))) (let ((_let_2080 (REFL :args (_let_11)))) (let ((_let_2081 (CONG _let_2032 _let_2080 :args _let_1004))) (let ((_let_2082 (CONG _let_1444 _let_2080 :args _let_1004))) (let ((_let_2083 (SYMM _let_2033))) (let ((_let_2084 (ASSUME :args (_let_509)))) (let ((_let_2085 (SYMM _let_2084))) (let ((_let_2086 (SYMM _let_2085))) (let ((_let_2087 (TRANS _let_2086 _let_2047 _let_2029 _let_2083))) (let ((_let_2088 (ASSUME :args (_let_502)))) (let ((_let_2089 (SYMM _let_2047))) (let ((_let_2090 (CONG (TRANS _let_2083 (TRANS _let_2033 _let_2028 _let_2089 _let_2085 (SYMM (SYMM _let_2088)) (CONG (TRANS (CONG (TRANS (TRANS (CONG (TRANS _let_2087 (SYMM _let_2082)) (TRANS _let_1425 _let_1422 _let_1397 _let_1086 _let_1369) :args _let_996) (CONG (TRANS _let_2082 _let_2081) (TRANS _let_1370 _let_1085 _let_1396 _let_1585 _let_1424 (SYMM _let_2054)) :args _let_996) _let_2056 _let_2079 _let_2076 _let_2061 (CONG (TRANS (TRANS _let_2057 _let_2056 _let_2079 _let_2076 _let_2061 _let_2066 (SYMM (SYMM _let_2078)) (CONG (TRANS (CONG (SYMM _let_2077) (TRANS (SYMM _let_2069) _let_2071 _let_1425 _let_1422 _let_1397 _let_1086 _let_1381 _let_1394) :args _let_1004) _let_1393 _let_1379 _let_1375 _let_1347) (TRANS _let_2065 _let_2068 (SYMM _let_2076) _let_2074 (SYMM _let_2056) _let_2055) :args _let_1004) (SYMM _let_2052)) _let_2053) (TRANS _let_2048 _let_1397 _let_1086 _let_1346 _let_1430) :args _let_1004) (CONG (REFL :args (_let_530)) (TRANS _let_1429 _let_1347 _let_1085 _let_1396 _let_1585 _let_1424) :args _let_1004) _let_1420 _let_1425 _let_1422 _let_1397 _let_1086) _let_1444) _let_2036 :args _let_1004) _let_2033) _let_2030 :args _let_1004))) (TRANS _let_2041 _let_2043 (SYMM _let_2046)) :args _let_996))) (let ((_let_2091 (CONG (TRANS (TRANS (CONG (TRANS _let_2087 _let_2033) _let_2042 :args _let_996) _let_2090 _let_2047 _let_2029 _let_2083) _let_2033) _let_2080 :args _let_996))) (let ((_let_2092 (ASSUME :args (_let_650)))) (let ((_let_2093 (SYMM _let_2092))) (let ((_let_2094 (SYMM _let_2093))) (let ((_let_2095 (TRANS _let_2094 _let_2091 _let_2090 _let_2047 _let_2029))) (let ((_let_2096 (TRANS (CONG (TRANS (SYMM _let_1164) _let_1808 _let_1807 (TRANS _let_1156 _let_1810 (CONG (SYMM _let_1809) (TRANS _let_1805 _let_1804 _let_1130 _let_1790 _let_1789 _let_1167 _let_1162) :args _let_1004))) (CONG _let_2095 (TRANS _let_1130 _let_1790 (CONG _let_1159 _let_2027 :args _let_996)) :args _let_1004) :args _let_996) (SYMM _let_2026) _let_1163 _let_1160 _let_1277 _let_1278 _let_1131))) (let ((_let_2097 (CONG (TRANS _let_2096 _let_1134) (CONG _let_2025 (TRANS _let_1135 _let_1277 _let_1278 _let_1131 _let_1149) :args _let_996) :args _let_1004))) (let ((_let_2098 (ASSUME :args (_let_546)))) (let ((_let_2099 (TRANS (CONG (TRANS (SYMM _let_2098) _let_1134) (CONG _let_2025 (TRANS _let_2023 _let_1149) :args _let_996) :args _let_1004) (SYMM _let_2097)))) (let ((_let_2100 (CONG (TRANS _let_2099 (TRANS _let_2097 _let_2024)) (TRANS _let_2023 _let_1149 _let_2018) :args _let_1004))) (let ((_let_2101 (CONG (SYMM _let_2099) (TRANS _let_1135 _let_1277 _let_1278 _let_1131 _let_2022) :args _let_1004))) (let ((_let_2102 (ASSUME :args (_let_402)))) (let ((_let_2103 (SYMM (SYMM _let_2102)))) (let ((_let_2104 (ASSUME :args (_let_728)))) (let ((_let_2105 (SYMM _let_2104))) (let ((_let_2106 (REFL :args (_let_187)))) (let ((_let_2107 (CONG _let_2106 (TRANS _let_2019 _let_1148 _let_1130 _let_1790 _let_1789 _let_1136) :args _let_1004))) (let ((_let_2108 (REFL :args (_let_316)))) (let ((_let_2109 (CONG _let_2108 (TRANS _let_2107 _let_2105 _let_2103 _let_2101 _let_2100) :args _let_996))) (let ((_let_2110 (ASSUME :args (_let_484)))) (let ((_let_2111 (SYMM _let_2110))) (let ((_let_2112 (SYMM _let_2111))) (let ((_let_2113 (CONG _let_2106 (TRANS _let_2112 _let_2109 _let_2021) :args _let_996))) (let ((_let_2114 (SYMM _let_1807))) (let ((_let_2115 (ASSUME :args (_let_459)))) (let ((_let_2116 (SYMM _let_2115))) (let ((_let_2117 (ASSUME :args (_let_632)))) (let ((_let_2118 (SYMM _let_2109))) (let ((_let_2119 (TRANS _let_2024 _let_2020 _let_2118 _let_2111))) (let ((_let_2120 (SYMM _let_2119))) (let ((_let_2121 (ASSUME :args (_let_886)))) (let ((_let_2122 (SYMM _let_2121))) (let ((_let_2123 (CONG _let_2106 (CONG _let_1037 _let_2122 :args _let_1004) :args _let_996))) (let ((_let_2124 (ASSUME :args (_let_492)))) (let ((_let_2125 (SYMM _let_1797))) (let ((_let_2126 (SYMM _let_2024))) (let ((_let_2127 (ASSUME :args (_let_219)))) (let ((_let_2128 (TRANS (CONG _let_2108 (TRANS _let_2103 _let_2101 _let_2100) :args _let_996) _let_2118 _let_2111))) (let ((_let_2129 (CONG (TRANS (TRANS (CONG (TRANS _let_1812 (SYMM _let_2096)) (SYMM _let_2128) :args _let_1004) (CONG (TRANS _let_2096 (TRANS _let_1156 _let_1810 (CONG (TRANS _let_1152 (TRANS _let_1149 _let_2018)) (TRANS _let_1805 _let_1804 _let_1149 _let_2018 (SYMM _let_2113)) :args _let_1004))) _let_2128 :args _let_1004) (SYMM _let_2127) _let_2112 _let_2109 _let_2021 _let_2126) _let_2119) (TRANS (CONG _let_2106 (TRANS (CONG _let_1799 (CONG _let_2025 (TRANS _let_1148 _let_1130 _let_1790 _let_2125) :args _let_1004) :args _let_996) (SYMM _let_2124) _let_1145 _let_1163 _let_1160 _let_1277 _let_1278 _let_1131 _let_1149 _let_2018) :args _let_1004) _let_2107 _let_2105) :args _let_996))) (let ((_let_2130 (ASSUME :args (_let_188)))) (let ((_let_2131 (SYMM _let_2130))) (let ((_let_2132 (SYMM _let_2131))) (let ((_let_2133 (TRANS _let_2024 _let_2020 _let_2118 _let_2111 _let_2132 _let_2129 (SYMM _let_2123)))) (let ((_let_2134 (CONG (TRANS _let_2120 _let_2133 (TRANS _let_2123 (CONG _let_2120 (TRANS _let_1135 _let_1277 _let_1278 _let_1131 _let_1134 (SYMM (SYMM _let_2117))) :args _let_996))) (TRANS _let_1135 _let_1277 _let_1278 _let_1131 _let_1134) :args _let_996))) (let ((_let_2135 (CONG (TRANS (TRANS (CONG _let_2106 (TRANS _let_2132 _let_2129 _let_2134 _let_2116 _let_1133 _let_1149 _let_2018) :args _let_1004) _let_2107 _let_2105 _let_1135 _let_1277 _let_1278 _let_1131) _let_2114 _let_1213) (TRANS (CONG _let_1918 (TRANS _let_2113 _let_2019 _let_1148 _let_1129) :args _let_1004) _let_1128 _let_1125 _let_1061 _let_1055) :args _let_996))) (let ((_let_2136 (ASSUME :args (_let_268)))) (let ((_let_2137 (SYMM _let_2136))) (let ((_let_2138 (SYMM _let_2129))) (let ((_let_2139 (SYMM _let_2134))) (let ((_let_2140 (TRANS _let_1245 _let_1253 _let_1250 _let_1276 (CONG _let_1879 _let_1878 :args _let_1004)))) (let ((_let_2141 (CONG (TRANS _let_1143 _let_2140) (TRANS _let_1134 _let_2115 _let_2139 _let_2138 _let_2131 (SYMM _let_2137) _let_2135 _let_1981 (SYMM (SYMM _let_2017)) (CONG (TRANS (TRANS (CONG (TRANS (TRANS _let_1890 _let_1897) _let_2016) (TRANS _let_1979 _let_1943 _let_1965 _let_1964 _let_2014 _let_2011 _let_1954 _let_1952 _let_1950 _let_1911) :args _let_996) _let_1896) _let_2016) (TRANS _let_1943 _let_1965 _let_1964 _let_2014 _let_2011 _let_1954 _let_1952 _let_1950 _let_1911) :args _let_996) _let_1896 _let_1894 (SYMM _let_1890)) :args _let_996))) (let ((_let_2142 (ASSUME :args (_let_466)))) (let ((_let_2143 (SYMM _let_2142))) (let ((_let_2144 (ASSUME :args (_let_735)))) (let ((_let_2145 (ASSUME :args (_let_723)))) (let ((_let_2146 (REFL :args (_let_379)))) (let ((_let_2147 (CONG _let_2146 (TRANS (SYMM _let_2145) _let_1244 _let_1142) :args _let_996))) (let ((_let_2148 (ASSUME :args (_let_538)))) (let ((_let_2149 (TRANS (SYMM _let_2148) _let_1244))) (let ((_let_2150 (CONG (TRANS _let_2149 _let_1141) _let_2147 :args _let_1004))) (let ((_let_2151 (ASSUME :args (_let_739)))) (let ((_let_2152 (SYMM _let_2151))) (let ((_let_2153 (ASSUME :args (_let_661)))) (let ((_let_2154 (CONG _let_1037 _let_1143 :args _let_996))) (let ((_let_2155 (REFL :args (_let_43)))) (let ((_let_2156 (CONG _let_1891 (CONG _let_2155 (TRANS _let_2154 _let_1140 _let_1233 _let_1852 _let_1851 _let_1880) :args _let_1004) :args _let_996))) (let ((_let_2157 (ASSUME :args (_let_383)))) (let ((_let_2158 (SYMM _let_2157))) (let ((_let_2159 (ASSUME :args (_let_562)))) (let ((_let_2160 (SYMM _let_2154))) (let ((_let_2161 (SYMM _let_2140))) (let ((_let_2162 (CONG (TRANS _let_2161 (TRANS _let_1245 _let_1253 _let_1250 _let_1276 (CONG (TRANS _let_1234 (TRANS _let_1141 _let_2160 (SYMM (SYMM _let_2159)))) (TRANS _let_1270 _let_1268 _let_1233 _let_1852 _let_1851 _let_1850 _let_1673 _let_1653 _let_1834 _let_1849 _let_1848 _let_1846 _let_1877 _let_2153 (SYMM _let_2156)) :args _let_1004))) _let_2146 :args _let_1004))) (let ((_let_2163 (CONG (TRANS _let_2162 _let_2158) (TRANS (CONG _let_2146 (TRANS _let_2156 (SYMM _let_2153) _let_1874 _let_1847 _let_1845 _let_1840 _let_1835 _let_1675 _let_1674 _let_1671 _let_1639 _let_1248 _let_1234 _let_1245 _let_1264) :args _let_1004) (CONG _let_2146 (TRANS 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(_let_264)))) (let ((_let_2178 (REFL :args (_let_45)))) (let ((_let_2179 (SYMM _let_2176))) (let ((_let_2180 (SYMM _let_2171))) (let ((_let_2181 (ASSUME :args (_let_566)))) (let ((_let_2182 (CONG (TRANS (TRANS (CONG (TRANS _let_1133 _let_2114) (TRANS (SYMM _let_2181) _let_2174) :args _let_996) _let_2173 _let_1140) (TRANS _let_1141 _let_2142 _let_2180 _let_2169) (SYMM _let_2170) _let_2179) _let_2178 :args _let_996))) (let ((_let_2183 (ASSUME :args (_let_479)))) (let ((_let_2184 (SYMM _let_2183))) (let ((_let_2185 (SYMM _let_2184))) (let ((_let_2186 (TRANS _let_2185 _let_2182))) (let ((_let_2187 (ASSUME :args (_let_612)))) (let ((_let_2188 (SYMM _let_2187))) (let ((_let_2189 (SYMM _let_2188))) (let ((_let_2190 (ASSUME :args (_let_171)))) (let ((_let_2191 (CONG _let_1141 _let_2155 :args _let_1004))) (let ((_let_2192 (SYMM _let_2191))) (let ((_let_2193 (ASSUME :args (_let_553)))) (let ((_let_2194 (CONG (TRANS (TRANS (SYMM _let_2193) _let_1143) _let_1141) (CONG _let_2146 _let_2152 :args _let_996) :args _let_1004))) (let ((_let_2195 (ASSUME :args (_let_438)))) (let ((_let_2196 (CONG (TRANS (TRANS (CONG _let_1779 (TRANS (CONG _let_2178 _let_1134 :args _let_996) (CONG (TRANS _let_2192 (TRANS _let_2191 (SYMM (SYMM _let_2195)) (CONG (REFL :args (_let_263)) (TRANS (CONG (TRANS _let_2189 (CONG (TRANS _let_2176 (TRANS _let_2157 _let_2168 _let_2167 _let_2150 (SYMM _let_2194)) (TRANS _let_2194 (SYMM _let_2150) (SYMM _let_2167) _let_2162 _let_2158 _let_2166 _let_2163 _let_2171 _let_2143 _let_1140) (TRANS _let_1141 _let_2142 _let_2180 (SYMM _let_2163) _let_2165 _let_2179 _let_2177 (CONG (TRANS (TRANS _let_2188 _let_2192) (TRANS _let_2191 _let_2185 _let_2182)) (REFL :args (_let_170)) :args _let_996))) (TRANS _let_2185 (CONG (REFL :args (_let_169)) _let_2186 :args _let_996)) :args _let_1004)) (REFL :args (_let_166)) :args _let_1004) (SYMM _let_2190) (SYMM _let_2182) _let_2184 _let_2189 (CONG (REFL :args (_let_165)) _let_2186 :args _let_1004)) :args _let_996) (SYMM _let_2177) _let_2176 _let_2166 _let_2163 _let_2171 _let_2143 _let_1140) _let_1142) _let_1133 :args _let_996) _let_2141 _let_1892 _let_1876 _let_1874 _let_1847 _let_1845 _let_1840 _let_1835 _let_1675 _let_1674 _let_1671 _let_1639 _let_1248 _let_1234 _let_1141 _let_1175 _let_1206 _let_1170 _let_1216 _let_1279 (SYMM _let_1512)) :args _let_1004) (CONG (TRANS _let_1833 _let_1832) (TRANS _let_1512 (SYMM _let_1279) _let_1212 _let_1169 _let_1208 _let_1174 _let_1140) :args _let_1004)) _let_1054) (TRANS _let_1145 _let_1163 _let_1160 _let_1277 _let_1278 _let_1131 _let_1129) :args _let_1004))) (let ((_let_2197 (CONG (REFL :args (_let_237)) _let_1791 :args _let_1004))) (let ((_let_2198 (ASSUME :args (_let_238)))) (let ((_let_2199 (SYMM _let_2198))) (let ((_let_2200 (SYMM _let_2199))) (let ((_let_2201 (TRANS _let_2200 _let_2197 _let_2196 _let_1128 _let_1125 _let_1061 _let_1055))) (let ((_let_2202 (SYMM _let_2201))) (let ((_let_2203 (TRANS _let_1128 _let_1125 _let_1061 _let_1055))) (let ((_let_2204 (REFL :args (_let_59)))) (let ((_let_2205 (CONG _let_1057 _let_2204 :args _let_1004))) (let ((_let_2206 (TRANS _let_2205 (CONG (SYMM _let_2203) _let_2204 :args _let_1004) (CONG (TRANS _let_2203 _let_2202) (TRANS _let_1013 _let_1036) :args _let_1004) _let_1052 _let_1050 _let_1048 _let_1053 _let_1027 _let_993))) (let ((_let_2207 (REFL :args (_let_60)))) (let ((_let_2208 (ASSUME :args (_let_550)))) (let ((_let_2209 (SYMM _let_2208))) (let ((_let_2210 (TRANS _let_992 _let_1001))) (let ((_let_2211 (ASSUME :args (_let_241)))) (let ((_let_2212 (CONG _let_1140 _let_1338 :args _let_1004))) (let ((_let_2213 (ASSUME :args (_let_725)))) (let ((_let_2214 (ASSUME :args (_let_397)))) (let ((_let_2215 (SYMM _let_2212))) (let ((_let_2216 (ASSUME :args (_let_743)))) (let ((_let_2217 (SYMM _let_2216))) (let ((_let_2218 (TRANS _let_2217 _let_2215 _let_2213))) (let ((_let_2219 (ASSUME :args (_let_873)))) (let ((_let_2220 (SYMM _let_2219))) (let ((_let_2221 (REFL :args (_let_226)))) (let ((_let_2222 (CONG _let_1006 (REFL :args (_let_56)) :args _let_1004))) (let ((_let_2223 (CONG _let_2222 (TRANS _let_993 _let_2219) :args _let_996))) (let ((_let_2224 (ASSUME :args (_let_540)))) (let ((_let_2225 (SYMM _let_2223))) (let ((_let_2226 (ASSUME :args (_let_556)))) (let ((_let_2227 (CONG (TRANS (SYMM _let_2226) _let_992) (TRANS (CONG _let_2221 (TRANS _let_2217 _let_2219) :args _let_996) _let_2225) :args _let_1004))) (let ((_let_2228 (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG (SYMM _let_2227) (SYMM _let_2218) :args _let_1004) (CONG (TRANS _let_2227 (CONG (TRANS _let_993 (TRANS _let_2215 (SYMM (SYMM _let_2224)))) (TRANS _let_2223 (CONG _let_2221 (TRANS _let_2220 _let_2215 _let_2213) :args _let_996)) :args _let_1004)) _let_2218 :args _let_1004) (SYMM _let_2214) (SYMM _let_2213) _let_2212) _let_2210) (SYMM _let_2211) :args _let_996) _let_2209 _let_993) _let_2210) (REFL :args (_let_112)) :args _let_996))) (let ((_let_2229 (ASSUME :args (_let_129)))) (let ((_let_2230 (SYMM _let_2229))) (let ((_let_2231 (SYMM _let_2230))) (let ((_let_2232 (ASSUME :args (_let_114)))) (let ((_let_2233 (SYMM _let_2228))) (let ((_let_2234 (ASSUME :args (_let_649)))) (let ((_let_2235 (SYMM _let_2234))) (let ((_let_2236 (ASSUME :args (_let_414)))) (let ((_let_2237 (CONG (TRANS (TRANS (CONG (TRANS _let_2235 _let_992) (TRANS (CONG _let_1008 _let_2225 :args _let_996) (CONG (TRANS _let_993 (TRANS _let_1005 _let_1020 _let_1018 _let_1015 (SYMM (SYMM _let_2236)) (CONG (CONG _let_2225 _let_1011 :args _let_1004) (TRANS (CONG _let_1024 (TRANS (CONG (REFL :args (_let_227)) _let_1035 :args _let_996) _let_2235 _let_1005 _let_1020 _let_1018 _let_1015) :args _let_1004) _let_1023 _let_1012 _let_1003 _let_2208 _let_2233 _let_2230) :args _let_996))) (REFL :args (_let_61)) :args _let_996) (SYMM _let_2232)) :args _let_1004) _let_2231 _let_2228 _let_2209 _let_993) _let_992) _let_2225 :args _let_1004))) (let ((_let_2238 (ASSUME :args (_let_229)))) (let ((_let_2239 (SYMM _let_2238))) (let ((_let_2240 (SYMM _let_2239))) (let ((_let_2241 (CONG _let_1000 (TRANS (CONG _let_2207 (TRANS _let_2223 _let_2240 _let_2237 _let_2231 _let_2228 _let_2209 _let_993 _let_1032) :args _let_1004) (CONG _let_2207 (TRANS _let_1033 _let_992) :args _let_1004) _let_1000 _let_993 _let_1005 _let_1020 _let_1018 _let_1015) :args _let_996))) (let ((_let_2242 (ASSUME :args (_let_63)))) (let ((_let_2243 (SYMM _let_2242))) (let ((_let_2244 (SYMM _let_2243))) (let ((_let_2245 (CONG _let_992 _let_1918 :args _let_1004))) (let ((_let_2246 (CONG (TRANS (CONG (TRANS _let_2244 _let_2241 _let_1009 _let_1006) _let_1918 :args _let_1004) _let_2245) (TRANS (CONG (REFL :args ((tptp.meet _let_2 _let_59))) (TRANS _let_2244 _let_2241 (SYMM _let_1025)) :args _let_1004) (CONG (TRANS (SYMM _let_2205) _let_2206 _let_992) (TRANS _let_1025 _let_1009 _let_1020 _let_1018 _let_1015) :args _let_1004) _let_1023 _let_1012 _let_1003 _let_1001) :args _let_996))) (let ((_let_2247 (ASSUME :args (_let_495)))) (let ((_let_2248 (TRANS _let_1052 _let_1050 _let_1048 _let_1053 _let_1027 _let_993))) (let ((_let_2249 (SYMM _let_2197))) (let ((_let_2250 (SYMM _let_2196))) (let ((_let_2251 (SYMM _let_1125))) (let ((_let_2252 (SYMM _let_2248))) (let ((_let_2253 (CONG (TRANS _let_2206 _let_2252) (TRANS _let_1121 _let_1110 _let_1098 _let_1124 _let_1122 _let_1108 _let_1105 _let_1081 _let_1057 _let_1054 _let_1112 _let_2251 _let_1127 _let_2250 _let_2249 _let_2199 _let_1130 _let_1790 _let_1789 _let_1167 _let_1162 _let_1165 _let_2247) :args _let_1004))) (let ((_let_2254 (ASSUME :args (_let_741)))) (let ((_let_2255 (TRANS _let_1622 _let_1537 _let_1533 _let_1602 _let_1599 _let_1445 _let_1377 _let_1349))) (let ((_let_2256 (TRANS _let_1628 _let_1625))) (let ((_let_2257 (CONG (TRANS _let_1714 _let_2256 _let_2255 _let_1771) (TRANS (SYMM _let_2254) _let_1728 _let_1725 _let_1724 _let_1680 _let_1519) :args _let_996))) (let ((_let_2258 (REFL :args (_let_137)))) (let ((_let_2259 (ASSUME :args (_let_472)))) (let ((_let_2260 (ASSUME :args (_let_618)))) (let ((_let_2261 (REFL :args (_let_50)))) (let ((_let_2262 (ASSUME :args (_let_493)))) (let ((_let_2263 (SYMM _let_2262))) (let ((_let_2264 (REFL :args (_let_102)))) (let ((_let_2265 (CONG _let_2264 (SYMM _let_1798) :args _let_1004))) (let ((_let_2266 (ASSUME :args (_let_369)))) (let ((_let_2267 (SYMM _let_2265))) (let ((_let_2268 (ASSUME :args (_let_729)))) (let ((_let_2269 (REFL :args (_let_103)))) (let ((_let_2270 (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG _let_2267 (SYMM _let_1821) :args _let_1004) (CONG _let_2269 _let_1821 :args _let_1004) (SYMM _let_2268)) _let_1811) (TRANS (CONG (REFL :args (_let_330)) _let_2267 :args _let_1004) (SYMM _let_2266) _let_2265) :args _let_996) _let_2263 _let_1145 _let_1163 _let_1160 _let_1277 _let_1278 _let_1131) _let_1811) (REFL :args (_let_325)) :args _let_996))) (let ((_let_2271 (ASSUME :args (_let_331)))) (let ((_let_2272 (SYMM _let_2271))) (let ((_let_2273 (SYMM _let_2272))) (let ((_let_2274 (ASSUME :args (_let_118)))) (let ((_let_2275 (SYMM _let_2274))) (let ((_let_2276 (SYMM _let_2270))) (let ((_let_2277 (TRANS _let_1130 _let_1790 _let_1789 _let_1167 _let_1162 _let_1165 _let_2262 _let_2276 _let_2272 _let_2267))) (let ((_let_2278 (CONG _let_1150 _let_2277 :args _let_1004))) (let ((_let_2279 (ASSUME :args (_let_392)))) (let ((_let_2280 (ASSUME :args (_let_742)))) (let ((_let_2281 (REFL :args (_let_97)))) (let ((_let_2282 (ASSUME :args (_let_434)))) (let ((_let_2283 (TRANS _let_1157 _let_1134))) (let ((_let_2284 (CONG _let_1151 (CONG _let_1538 _let_1134 :args _let_996) :args _let_1004))) (let ((_let_2285 (CONG _let_2284 _let_2283 :args _let_996))) (let ((_let_2286 (CONG (TRANS _let_1152 _let_1134) (TRANS (CONG (REFL :args (_let_84)) (SYMM _let_2283) :args _let_996) _let_2285) :args _let_1004))) (let ((_let_2287 (CONG (REFL :args (_let_52)) _let_2286 :args _let_996))) (let ((_let_2288 (SYMM (TRANS _let_1134 _let_2260)))) (let ((_let_2289 (CONG (TRANS _let_2288 _let_2277) _let_2281 :args _let_1004))) (let ((_let_2290 (CONG _let_2289 (TRANS (CONG _let_2281 (TRANS _let_2287 (SYMM _let_2282) _let_1133 _let_2280) :args _let_1004) (CONG _let_2281 (TRANS (SYMM _let_2280) _let_1134) :args _let_1004) (SYMM _let_2279) _let_1133 _let_1130 _let_1790 _let_1789 _let_1167 _let_1162 _let_1165 _let_2278) :args _let_996))) (let ((_let_2291 (ASSUME :args (_let_172)))) (let ((_let_2292 (SYMM (SYMM _let_2291)))) (let ((_let_2293 (SYMM _let_2286))) (let ((_let_2294 (REFL :args (_let_51)))) (let ((_let_2295 (CONG (TRANS _let_1795 _let_1134) _let_2294 :args _let_1004))) (let ((_let_2296 (CONG (TRANS _let_2295 _let_2293 _let_2292 _let_2290) _let_2269 :args _let_996))) (let ((_let_2297 (ASSUME :args (_let_104)))) (let ((_let_2298 (CONG (TRANS (SYMM _let_2289) (CONG (TRANS _let_2288 (TRANS _let_1156 _let_1810 (CONG (TRANS _let_1152 (TRANS _let_1130 _let_1790 _let_1789 _let_1167 _let_1162 _let_1165 _let_2262 _let_2276 _let_2272 _let_2267 _let_2274 (SYMM _let_2296) (CONG (TRANS _let_2295 _let_2293) _let_2269 :args _let_996))) (TRANS _let_1805 _let_1804 _let_1134 _let_2282 (SYMM _let_2287)) :args _let_1004))) _let_2281 :args _let_1004) (SYMM _let_2297) _let_2286 (SYMM _let_2295)) (TRANS (SYMM _let_2278) _let_2262 _let_2276 _let_2272 _let_2267) :args _let_996))) (let ((_let_2299 (ASSUME :args (_let_202)))) (let ((_let_2300 (ASSUME :args (_let_644)))) (let ((_let_2301 (ASSUME :args (_let_89)))) (let ((_let_2302 (ASSUME :args (_let_53)))) (let ((_let_2303 (ASSUME :args (_let_266)))) (let ((_let_2304 (REFL :args (_let_177)))) (let ((_let_2305 (TRANS _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349))) (let ((_let_2306 (TRANS _let_1712 _let_1628 _let_1625 _let_1622 _let_1537 _let_1533 _let_1602 _let_1599 _let_1445 _let_1377 _let_1349))) (let ((_let_2307 (TRANS (CONG (TRANS _let_1624 _let_1536 _let_2306 _let_1348) (TRANS (CONG _let_1606 (TRANS _let_1540 (SYMM _let_1605)) :args _let_996) _let_1608 _let_1349 _let_1381 _let_1394) :args _let_1004) _let_1393 _let_1379 _let_1375 _let_1347))) (let ((_let_2308 (TRANS _let_2307 (SYMM _let_2305)))) (let ((_let_2309 (SYMM _let_1625))) (let ((_let_2310 (SYMM _let_1622))) (let ((_let_2311 (SYMM _let_1599))) (let ((_let_2312 (CONG (TRANS _let_1579 (SYMM _let_2307)) (CONG (REFL :args (_let_83)) (TRANS _let_1577 _let_2311 _let_1601 _let_1597 _let_1596 _let_2310 _let_2309 _let_1627 _let_1623) :args _let_1004) :args _let_996))) (let ((_let_2313 (ASSUME :args (_let_271)))) (let ((_let_2314 (SYMM _let_2313))) (let ((_let_2315 (SYMM _let_2314))) (let ((_let_2316 (ASSUME :args (_let_569)))) (let ((_let_2317 (CONG _let_2308 _let_2304 :args _let_1004))) (let ((_let_2318 (ASSUME :args (_let_180)))) (let ((_let_2319 (ASSUME :args (_let_257)))) (let ((_let_2320 (ASSUME :args (_let_435)))) (let ((_let_2321 (CONG (TRANS _let_2305 (TRANS _let_1346 _let_1374 _let_1389 _let_1559 (CONG (TRANS _let_1349 (TRANS _let_1348 _let_1380 _let_1441 _let_2311 _let_1601 _let_1597 _let_1596 _let_2310 _let_2309 _let_1627 _let_1623 (SYMM (SYMM _let_2320)))) (TRANS _let_1384 _let_1382 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1447 _let_1468 _let_1467 _let_1466 _let_1463 _let_2315 _let_2312) :args _let_1004))) _let_2304 :args _let_1004))) (let ((_let_2322 (CONG (REFL :args (_let_471)) (CONG (TRANS (TRANS _let_2319 (SYMM _let_2321) (SYMM _let_2317)) (TRANS _let_2317 _let_2321 (SYMM _let_2319) (SYMM (SYMM _let_2318)) (CONG _let_2317 (TRANS (CONG _let_2304 (TRANS (SYMM _let_2312) _let_2314 _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_2311 _let_1601 _let_1597 _let_1596 _let_2310 _let_2309 _let_1627) :args _let_1004) (SYMM _let_2316) _let_1628 _let_1625 _let_1622 _let_1537 _let_1533 _let_1602 _let_1599 _let_1445 _let_1377 _let_1349 _let_1346 _let_1374 _let_1389 _let_1559 (CONG _let_1470 (TRANS _let_1384 _let_1382 _let_1348 _let_1380 _let_1441 _let_1437 _let_1352 _let_1350 _let_1447 _let_1468 _let_1467 _let_1466 _let_1463 _let_2315 _let_2312 (CONG _let_2308 _let_2304 :args _let_996)) :args _let_1004)) :args _let_996) (SYMM _let_2303) _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349) (SYMM _let_2255) (SYMM _let_2256)) (TRANS _let_2284 (SYMM (SYMM _let_2302)) (CONG (TRANS _let_2288 _let_2114 _let_1213 _let_1145) (TRANS (CONG _let_2261 (TRANS (SYMM (SYMM _let_2301)) (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG (SYMM _let_2285) _let_1796 :args _let_996) (CONG (REFL :args (_let_643)) _let_1795 :args _let_996) (SYMM _let_2300)) _let_1134) (SYMM _let_2299) :args _let_1004) _let_2293 _let_2292 _let_2290 _let_2298 _let_2296 _let_2275 _let_2265 _let_2273 _let_2270 _let_2263 _let_1145 _let_1163 _let_1160 _let_1277 _let_1278 _let_1131) _let_1134) _let_2294 :args _let_1004) _let_2293 _let_2292 _let_2290 _let_2298 _let_2296 _let_2275 _let_2265 _let_2273 _let_2270 _let_2263 _let_1145 _let_1163 _let_1160 _let_1277 _let_1278 _let_1131 _let_1796 _let_1823 _let_1822) :args _let_1004) (CONG _let_2261 (TRANS _let_1820 _let_1819 _let_1795 _let_1134) :args _let_1004) (SYMM _let_2260) _let_1133) :args _let_996) _let_1278 _let_1131) :args _let_996) :args _let_996))) (let ((_let_2323 (ASSUME :args (_let_475)))) (let ((_let_2324 (ASSUME :args (_let_568)))) (let ((_let_2325 (ASSUME :args (_let_240)))) (let ((_let_2326 (CONG _let_2202 (TRANS _let_1005 _let_1013 _let_1036) :args _let_996))) (let ((_let_2327 (SYMM _let_2091))) (let ((_let_2328 (SYMM _let_2090))) (let ((_let_2329 (SYMM _let_2081))) (let ((_let_2330 (TRANS _let_2329 _let_2033 _let_2028 _let_2089 _let_2328 _let_2327 _let_2093))) (let ((_let_2331 (CONG (TRANS _let_2081 _let_2330 (TRANS _let_2326 (CONG (TRANS (TRANS (SYMM (SYMM _let_2325)) (CONG (REFL :args (_let_239)) _let_1791 :args _let_1004) (CONG (TRANS (TRANS (CONG _let_2264 (TRANS _let_2259 (SYMM _let_2322)) :args _let_1004) (CONG (TRANS (CONG (TRANS (TRANS _let_1134 _let_2115 _let_2139 _let_2138 _let_2131 _let_2112 _let_2109 _let_2021 _let_2126) _let_2133) _let_2324 :args _let_996) (CONG (REFL :args (_let_474)) (TRANS (SYMM _let_2324) (SYMM _let_2122)) :args _let_996) (SYMM _let_2323) _let_2122 _let_2141 _let_1892 _let_1876 _let_1874 _let_1847 _let_1845 _let_1840 _let_1835 _let_1675 _let_1674 _let_1671 _let_1639 _let_1248 _let_1234) (TRANS _let_2322 (SYMM _let_2259) (CONG (SYMM _let_1714) _let_2201 :args _let_996) (CONG _let_2258 _let_2254 :args _let_996) _let_2257 _let_1705 _let_1700 _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1349) :args _let_1004)) _let_2252) _let_2247 :args _let_1004) (SYMM _let_2253)) (TRANS _let_2253 (CONG _let_2248 (TRANS (SYMM _let_2247) _let_1145 _let_1163 _let_1160 _let_1277 _let_1278 _let_1131 _let_2200 _let_2197 _let_2196 _let_1128 _let_1125 _let_1061 _let_1055 _let_1634 _let_1631) :args _let_1004) (CONG _let_998 (TRANS _let_1649 _let_1633 _let_1054) :args _let_1004)) _let_2245) (TRANS (SYMM _let_1036) _let_1009 _let_1006 _let_992 _let_1001) :args _let_996) (SYMM _let_2246)) _let_2246) _let_998 :args _let_996))) (let ((_let_2332 (CONG _let_1516 _let_992 :args _let_996))) (let ((_let_2333 (ASSUME :args (_let_563)))) (let ((_let_2334 (SYMM _let_2333))) (let ((_let_2335 (ASSUME :args (_let_319)))) (let ((_let_2336 (SYMM _let_2335))) (let ((_let_2337 (ASSUME :args (_let_732)))) (let ((_let_2338 (SYMM _let_2337))) (let ((_let_2339 (CONG (TRANS _let_2042 _let_2037) (REFL :args (_let_221)) :args _let_1004))) (let ((_let_2340 (REFL :args (_let_193)))) (let ((_let_2341 (ASSUME :args (_let_501)))) (let ((_let_2342 (ASSUME :args (_let_802)))) (let ((_let_2343 (SYMM _let_2342))) (let ((_let_2344 (CONG (REFL :args (_let_801)) _let_2042 :args _let_996))) (let ((_let_2345 (TRANS _let_2045 _let_2095))) (let ((_let_2346 (CONG (SYMM _let_2345) (TRANS _let_2342 (SYMM _let_2344)) :args _let_1004))) (let ((_let_2347 (TRANS (CONG (TRANS _let_2087 _let_2081 _let_2330 (TRANS _let_2040 _let_2346 (CONG _let_2345 (TRANS _let_2344 _let_2343 _let_2094 _let_2091 _let_2090 _let_2047 _let_2029) :args _let_1004))) (CONG _let_2027 (TRANS _let_2094 _let_2091 (CONG _let_2038 _let_2095 :args _let_996)) :args _let_1004) :args _let_996) (SYMM _let_2341) _let_2028 _let_2089 _let_2328 _let_2327 _let_2093))) (let ((_let_2348 (CONG (TRANS _let_2347 _let_2041) (CONG _let_2340 (TRANS _let_2086 _let_2328 _let_2327 _let_2093 _let_2037) :args _let_996) :args _let_1004))) (let ((_let_2349 (ASSUME :args (_let_549)))) (let ((_let_2350 (TRANS (CONG (TRANS (SYMM _let_2349) _let_2041) (CONG _let_2340 (TRANS _let_2338 _let_2037) :args _let_996) :args _let_1004) (SYMM _let_2348)))) (let ((_let_2351 (CONG (TRANS _let_2350 (TRANS _let_2348 _let_2339)) (TRANS _let_2338 _let_2037 _let_2333) :args _let_1004))) (let ((_let_2352 (CONG (SYMM _let_2350) (TRANS _let_2086 _let_2328 _let_2327 _let_2093 _let_2337) :args _let_1004))) (let ((_let_2353 (ASSUME :args (_let_403)))) (let ((_let_2354 (SYMM (SYMM _let_2353)))) (let ((_let_2355 (ASSUME :args (_let_731)))) (let ((_let_2356 (SYMM _let_2355))) (let ((_let_2357 (REFL :args (_let_194)))) (let ((_let_2358 (CONG _let_2357 (TRANS _let_2334 _let_2036 _let_2094 _let_2091 _let_2090 _let_2085) :args _let_1004))) (let ((_let_2359 (REFL :args (_let_318)))) (let ((_let_2360 (CONG _let_2359 (TRANS _let_2358 _let_2356 _let_2354 _let_2352 _let_2351) :args _let_996))) (let ((_let_2361 (ASSUME :args (_let_485)))) (let ((_let_2362 (SYMM _let_2361))) (let ((_let_2363 (SYMM _let_2362))) (let ((_let_2364 (CONG _let_2357 (TRANS _let_2363 _let_2360 _let_2336) :args _let_996))) (let ((_let_2365 (SYMM _let_2330))) (let ((_let_2366 (ASSUME :args (_let_456)))) (let ((_let_2367 (SYMM _let_2366))) (let ((_let_2368 (ASSUME :args (_let_631)))) (let ((_let_2369 (SYMM _let_2360))) (let ((_let_2370 (TRANS _let_2339 _let_2335 _let_2369 _let_2362))) (let ((_let_2371 (SYMM _let_2370))) (let ((_let_2372 (ASSUME :args (_let_887)))) (let ((_let_2373 (CONG _let_2357 (CONG _let_2080 (SYMM _let_2372) :args _let_1004) :args _let_996))) (let ((_let_2374 (ASSUME :args (_let_494)))) (let ((_let_2375 (TRANS _let_2094 _let_2091 _let_2090 _let_2047 _let_2029 _let_2083))) (let ((_let_2376 (ASSUME :args (_let_224)))) (let ((_let_2377 (TRANS (CONG _let_2359 (TRANS _let_2354 _let_2352 _let_2351) :args _let_996) _let_2369 _let_2362))) (let ((_let_2378 (CONG (TRANS (TRANS (CONG (TRANS (SYMM (TRANS _let_2040 _let_2346 (CONG (TRANS _let_2045 _let_2375) (TRANS _let_2344 _let_2343 _let_2094 _let_2091 _let_2090 _let_2047 _let_2029 _let_2083) :args _let_1004))) (SYMM _let_2347)) (SYMM _let_2377) :args _let_1004) (CONG (TRANS _let_2347 (TRANS _let_2040 _let_2346 (CONG (TRANS _let_2045 (TRANS _let_2037 _let_2333)) (TRANS _let_2344 _let_2343 _let_2037 _let_2333 (SYMM _let_2364)) :args _let_1004))) _let_2377 :args _let_1004) (SYMM _let_2376) _let_2363 _let_2360 _let_2336 (SYMM _let_2339)) _let_2370) (TRANS (CONG _let_2357 (TRANS (CONG (REFL :args (_let_195)) (CONG _let_2340 (TRANS _let_2036 _let_2094 _let_2091 (CONG _let_2083 _let_2375 :args _let_996)) :args _let_1004) :args _let_996) (SYMM _let_2374) _let_2033 _let_2028 _let_2089 _let_2328 _let_2327 _let_2093 _let_2037 _let_2333) :args _let_1004) _let_2358 _let_2356) :args _let_996))) (let ((_let_2379 (ASSUME :args (_let_196)))) (let ((_let_2380 (SYMM _let_2379))) (let ((_let_2381 (SYMM _let_2380))) (let ((_let_2382 (CONG (TRANS _let_2371 (TRANS _let_2339 _let_2335 _let_2369 _let_2362 _let_2381 _let_2378 (SYMM _let_2373)) (TRANS _let_2373 (CONG _let_2371 (TRANS _let_2086 _let_2328 _let_2327 _let_2093 _let_2041 (SYMM (SYMM _let_2368))) :args _let_996))) (TRANS _let_2086 _let_2328 _let_2327 _let_2093 _let_2041) :args _let_996))) (let ((_let_2383 (CONG (TRANS (TRANS (CONG _let_2357 (TRANS _let_2381 _let_2378 _let_2382 _let_2367 _let_2042 _let_2037 _let_2333) :args _let_1004) _let_2358 _let_2356 _let_2086 _let_2328 _let_2327 _let_2093) _let_2365 _let_2329) (TRANS (CONG _let_2204 (TRANS _let_2364 _let_2334 _let_2036 _let_2332) :args _let_1004) _let_2244 _let_2241 _let_1009 _let_1006) :args _let_996))) (let ((_let_2384 (ASSUME :args (_let_267)))) (let ((_let_2385 (SYMM _let_2384))) (let ((_let_2386 (SYMM _let_2385))) (let ((_let_2387 (SYMM _let_2378))) (let ((_let_2388 (SYMM _let_2382))) (let ((_let_2389 (SYMM _let_2383))) (let ((_let_2390 (SYMM _let_2331))) (let ((_let_2391 (SYMM _let_997))) (let ((_let_2392 (CONG (REFL :args (_let_76)) _let_993 :args _let_1004))) (let ((_let_2393 (ASSUME :args (_let_478)))) (let ((_let_2394 (CONG (SYMM _let_2393) _let_992 :args _let_1004))) (let ((_let_2395 (TRANS _let_2041 _let_2366 _let_2388 _let_2387 _let_2380 _let_2386 _let_2383 _let_2331 _let_997 _let_995 _let_993))) (let ((_let_2396 (ASSUME :args (_let_755)))) (let ((_let_2397 (SYMM _let_2396))) (let ((_let_2398 (ASSUME :args (_let_868)))) (let ((_let_2399 (SYMM _let_2398))) (let ((_let_2400 (SYMM _let_2399))) (let ((_let_2401 (ASSUME :args (_let_389)))) (let ((_let_2402 (ASSUME :args (_let_615)))) (let ((_let_2403 (TRANS _let_2399 _let_1056 _let_1686))) (let ((_let_2404 (REFL :args (_let_85)))) (let ((_let_2405 (CONG _let_2397 (CONG _let_2404 _let_2399 :args _let_996) :args _let_1004))) (let ((_let_2406 (ASSUME :args (_let_343)))) (let ((_let_2407 (SYMM _let_2135))) (let ((_let_2408 (ASSUME :args (_let_598)))) (let ((_let_2409 (TRANS (SYMM _let_2408) _let_1063 _let_1113 _let_1055))) (let ((_let_2410 (TRANS (CONG _let_1037 (TRANS _let_2054 _let_1425 _let_1422 _let_1397 _let_1086 _let_1514) :args _let_996) _let_1734))) (let ((_let_2411 (CONG _let_1538 (TRANS _let_1130 _let_1790 _let_2125) :args _let_1004))) (let ((_let_2412 (CONG (CONG _let_1516 _let_1346 :args _let_996) _let_1037 :args _let_1004))) (let ((_let_2413 (SYMM _let_1902))) (let ((_let_2414 (SYMM _let_2011))) (let ((_let_2415 (ASSUME :args (_let_285)))) (let ((_let_2416 (SYMM _let_2010))) (let ((_let_2417 (SYMM _let_2006))) (let ((_let_2418 (TRANS _let_1952 _let_1950 _let_2417 _let_2416))) (let ((_let_2419 (TRANS _let_1887 _let_1914 _let_2004 _let_2003 _let_2007 (CONG _let_2418 (TRANS (CONG _let_2002 (REFL :args (_let_278)) :args _let_1004) (CONG (TRANS _let_1988 _let_1887) (TRANS _let_2005 _let_1969 _let_1906 _let_1913 _let_1912) :args _let_1004) _let_2417 _let_2416) :args _let_996)))) (let ((_let_2420 (ASSUME :args (_let_393)))) (let ((_let_2421 (TRANS (SYMM (SYMM _let_2420)) (CONG (TRANS (TRANS (CONG (TRANS _let_2008 _let_2002 _let_1988 _let_1887) (TRANS _let_1886 _let_1906 _let_1913 _let_1912) :args _let_1004) _let_1958 _let_1957) _let_2418) _let_2418 :args _let_1004)))) (let ((_let_2422 (CONG _let_2421 (CONG _let_1516 _let_2419 :args _let_1004) :args _let_996))) (let ((_let_2423 (TRANS _let_1943 _let_1965 _let_1964 _let_2014 _let_2011 _let_1954))) (let ((_let_2424 (ASSUME :args (_let_444)))) (let ((_let_2425 (ASSUME :args (_let_575)))) (let ((_let_2426 (ASSUME :args (_let_287)))) (let ((_let_2427 (ASSUME :args (_let_480)))) (let ((_let_2428 (ASSUME :args (_let_300)))) (let ((_let_2429 (TRANS _let_1992 _let_1974))) (let ((_let_2430 (SYMM _let_2429))) (let ((_let_2431 (CONG (TRANS _let_2430 (TRANS _let_1992 _let_1974 _let_1971 _let_1991 _let_1985 (SYMM (SYMM _let_2428)) (CONG (TRANS (CONG (TRANS (TRANS (CONG (TRANS (TRANS _let_1986 _let_1983 _let_1972 _let_1970 _let_1994) (TRANS _let_1992 (CONG _let_1898 _let_1922 :args _let_1004))) (REFL :args (_let_299)) :args _let_996) (SYMM _let_2427) _let_1899 _let_1143) _let_1142) _let_1977 :args _let_1004) _let_1974) _let_1973 :args _let_1004))) (TRANS _let_1943 _let_1980 (SYMM _let_1982)) :args _let_996))) (let ((_let_2432 (CONG (TRANS _let_2000 _let_1999 _let_2429) _let_1944 :args _let_996))) (let ((_let_2433 (CONG (REFL :args (_let_362)) _let_1943 :args _let_996))) (let ((_let_2434 (TRANS _let_2433 _let_2432 _let_2431 _let_1983 _let_1972 _let_1970))) (let ((_let_2435 (ASSUME :args (_let_439)))) (let ((_let_2436 (SYMM _let_2431))) (let ((_let_2437 (CONG (TRANS _let_1990 (SYMM _let_1993) (TRANS _let_1992 _let_1974 _let_1971 _let_1991 _let_2436 (CONG (TRANS _let_2430 (TRANS _let_1992 _let_1974 _let_1971 _let_1991 _let_2436 (SYMM _let_2432) (SYMM _let_2433) (SYMM (SYMM _let_2435)) (CONG (REFL :args (_let_366)) (TRANS (CONG (TRANS _let_2434 _let_1974) (TRANS (CONG _let_2423 _let_2434 :args _let_996) (CONG _let_2421 (CONG (TRANS _let_1143 (SYMM _let_1677)) _let_2419 :args _let_1004) :args _let_996) (SYMM _let_2426) _let_2010 _let_2006 _let_1958 _let_1957 _let_1953 _let_2414 _let_2013 _let_1967 _let_1966 _let_1944) :args _let_1004) _let_1979 (SYMM (SYMM _let_2425))) :args _let_996))) (REFL :args (_let_297)) :args _let_996) (SYMM _let_2424)) _let_2423) (TRANS _let_1719 _let_1054 _let_1074 _let_1064) :args _let_996))) (let ((_let_2438 (CONG (TRANS _let_1994 _let_1993 _let_1989) _let_1718 :args _let_996))) (let ((_let_2439 (TRANS _let_1981 _let_1943 _let_1965 _let_1964 _let_2014 _let_2011 _let_1954 _let_1952 _let_1950 _let_2417 _let_2416 _let_2415 (SYMM _let_2422) (SYMM _let_2437) (SYMM _let_2438)))) (let ((_let_2440 (CONG (TRANS (SYMM _let_1763) (SYMM _let_2306) _let_1712) _let_2439 :args _let_1004))) (let ((_let_2441 (TRANS _let_2440 (CONG _let_1538 (TRANS _let_2438 _let_2437 _let_2422 (SYMM _let_2415) _let_2010 _let_2006 _let_1958 _let_1957 _let_1953 _let_2414 _let_2013 _let_1967 _let_1966 _let_1944 _let_1888 _let_1887 _let_1905 _let_1902) :args _let_1004) (CONG _let_1538 (TRANS _let_2413 _let_1904 _let_1886 _let_2407 _let_2137 _let_2132 _let_2129 _let_2134 _let_2116 _let_1133 _let_1130 _let_1790 _let_2125) :args _let_1004) (SYMM _let_2411)))) (let ((_let_2442 (TRANS (CONG _let_1538 _let_2439 :args _let_1004) (SYMM _let_2440)))) (let ((_let_2443 (SYMM _let_2409))) (let ((_let_2444 (CONG (REFL :args ((tptp.meet _let_29 _let_66))) _let_2443 :args _let_996))) (let ((_let_2445 (ASSUME :args (_let_564)))) (let ((_let_2446 (CONG (TRANS (SYMM _let_2445) (TRANS (CONG (TRANS (SYMM _let_2441) (SYMM _let_2442)) _let_2443 :args _let_996) (SYMM _let_2444)) (TRANS _let_2444 (CONG (TRANS _let_2442 _let_2441 (SYMM _let_2412) (TRANS _let_2412 _let_2411 (CONG (TRANS _let_1536 _let_2306 (SYMM _let_1832) (SYMM _let_1833) (SYMM _let_2410)) _let_1798 :args _let_1004) (CONG _let_2410 (REFL :args (_let_101)) :args _let_1004) _let_1826 _let_1824 _let_1815 _let_1829 _let_1783) _let_2114 _let_1213) _let_2409 :args _let_996) _let_2407 _let_2137 _let_2132 _let_2129 _let_2134 _let_2116 _let_1133)) (TRANS (CONG _let_2258 (TRANS (SYMM (SYMM _let_2406)) (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG (SYMM _let_2405) (SYMM _let_2403) :args _let_1004) (CONG (TRANS _let_2405 (CONG _let_1693 (CONG _let_2404 _let_1690 :args _let_996) :args _let_1004)) _let_2403 :args _let_1004) (SYMM _let_2402) _let_1687 _let_1057) _let_2400) (SYMM _let_2401) :args _let_996) _let_2397) _let_2400) (REFL :args (_let_333)) :args _let_996) _let_2397 _let_2254) :args _let_996) _let_2257 _let_1705 _let_1700 _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1390 _let_1387 _let_1385 _let_1555 _let_1574 _let_1573) :args _let_1004))) (let ((_let_2447 (ASSUME :args (_let_900)))) (let ((_let_2448 (SYMM _let_2447))) (let ((_let_2449 (CONG _let_1606 (TRANS _let_2448 _let_1718) :args _let_996))) (let ((_let_2450 (ASSUME :args (_let_201)))) (let ((_let_2451 (CONG (TRANS (TRANS _let_1604 _let_1602 _let_1599 _let_1445 _let_1377 _let_1349) _let_1711) (TRANS (CONG (REFL :args (_let_200)) (TRANS (CONG _let_1606 (TRANS _let_1602 _let_1599 _let_1701) :args _let_1004) (CONG _let_1606 (TRANS _let_1577 _let_1437 _let_1352 _let_1350 _let_1447 _let_1468 _let_1467 _let_1466 _let_1463 _let_1699 (CONG (TRANS _let_1579 _let_1711) _let_1709 :args _let_996)) :args _let_1004)) :args _let_996) (SYMM _let_2450)) :args _let_1004))) (let ((_let_2452 (CONG (TRANS (TRANS _let_2200 _let_2197 _let_2196 _let_1128 _let_1125 _let_1061 _let_1055 _let_1728 _let_1725 _let_1724 _let_1680 _let_1519 _let_1517 (CONG _let_1729 _let_1702 :args _let_1004) (CONG (TRANS (TRANS _let_1707 (SYMM _let_2451)) (TRANS _let_2451 _let_1708 _let_1520 _let_1518 (SYMM _let_1680) (SYMM _let_1720) _let_1723)) (TRANS _let_1577 _let_1437 _let_1352 _let_1350 _let_1447 _let_1468 _let_1467 _let_1466 _let_1463 _let_1699 _let_1710) :args _let_1004) (CONG (TRANS _let_1722 (SYMM _let_2449) (TRANS _let_2449 _let_1720 (SYMM _let_1724) (SYMM _let_1725) _let_1727) _let_2202) (TRANS (SYMM _let_1710) _let_1700 _let_1523 _let_1465 _let_1459 _let_1453 _let_1448 _let_1356 _let_1351 _let_1446 _let_1445 _let_1377 _let_1390 _let_1387 _let_1385 _let_1555 _let_1574 _let_1573) :args _let_1004) (SYMM _let_2446)) _let_2446 _let_2393) _let_2395 :args _let_1004))) (let ((_let_2453 (ASSUME :args (_let_214)))) (let ((_let_2454 (ASSUME :args (_let_573)))) (let ((_let_2455 (REFL :args (_let_155)))) (let ((_let_2456 (CONG _let_2455 (SYMM _let_2454) :args _let_996))) (let ((_let_2457 (ASSUME :args (_let_430)))) (let ((_let_2458 (ASSUME :args (_let_486)))) (let ((_let_2459 (REFL :args (_let_138)))) (let ((_let_2460 (CONG _let_2459 _let_1089 :args _let_996))) (let ((_let_2461 (ASSUME :args (_let_656)))) (let ((_let_2462 (ASSUME :args (_let_851)))) (let ((_let_2463 (CONG (REFL :args (_let_135)) _let_1087 :args _let_996))) (let ((_let_2464 (CONG _let_1927 (CONG _let_2258 (TRANS _let_2463 (SYMM _let_2462) _let_1054 _let_1112 (SYMM _let_1925)) :args _let_1004) :args _let_996))) (let ((_let_2465 (ASSUME :args (_let_408)))) (let ((_let_2466 (ASSUME :args (_let_559)))) (let ((_let_2467 (SYMM _let_2463))) (let ((_let_2468 (CONG (TRANS _let_1941 (TRANS _let_1056 _let_1073 _let_1070 _let_1933 (CONG (TRANS _let_1057 (TRANS _let_2462 _let_2467 (SYMM (SYMM _let_2466)))) (TRANS _let_1059 _let_1063 _let_1113 _let_1055 _let_1056 _let_2461 (SYMM _let_2464)) :args _let_1004))) _let_2459 :args _let_1004))) (let ((_let_2469 (CONG (TRANS _let_2468 (SYMM _let_2465)) (TRANS (CONG _let_2459 (TRANS _let_2464 (SYMM _let_2461)) :args _let_1004) (CONG _let_2459 (TRANS _let_1057 _let_1091) :args _let_1004) _let_1089) :args _let_996))) (let ((_let_2470 (ASSUME :args (_let_409)))) (let ((_let_2471 (SYMM _let_2470))) (let ((_let_2472 (SYMM _let_2471))) (let ((_let_2473 (SYMM _let_2468))) (let ((_let_2474 (CONG (TRANS _let_2465 _let_2473 (CONG (TRANS _let_1941 _let_1114) (TRANS _let_2465 _let_2473 (CONG (TRANS _let_1941 _let_1101) (TRANS _let_2472 _let_2469 (SYMM _let_2460)) :args _let_1004) (CONG (SYMM _let_1101) _let_2460 :args _let_1004) (CONG _let_1091 (REFL :args (_let_398)) :args _let_1004)) :args _let_1004)) (TRANS _let_1087 _let_1056 _let_1073 _let_1070 _let_1933 (CONG _let_1115 (TRANS _let_1059 _let_1063 _let_1113 _let_1055 _let_1091 _let_1100 (CONG (TRANS (TRANS _let_1089 _let_1087) _let_1114) (REFL :args (_let_399)) :args _let_996)) :args _let_1004)) :args _let_996))) (let ((_let_2475 (CONG _let_2258 (TRANS _let_2448 _let_2462 _let_2467) :args _let_1004))) (let ((_let_2476 (CONG _let_2258 _let_2447 :args _let_1004))) (let ((_let_2477 (ASSUME :args (_let_160)))) (let ((_let_2478 (CONG _let_1060 _let_1119 :args _let_996))) (let ((_let_2479 (CONG _let_1927 (CONG _let_2080 (TRANS _let_1925 _let_2478) :args _let_1004) :args _let_996))) (let ((_let_2480 (ASSUME :args (_let_491)))) (let ((_let_2481 (SYMM _let_2480))) (let ((_let_2482 (ASSUME :args (_let_441)))) (let ((_let_2483 (CONG (TRANS _let_1941 (TRANS _let_1056 _let_1073 _let_1070 _let_1933 (CONG (TRANS _let_1057 (TRANS _let_1054 _let_1112 _let_2478 (SYMM (SYMM _let_2482)))) (TRANS _let_1059 _let_1063 _let_1113 _let_1055 _let_1056 (SYMM _let_2481) _let_2479) :args _let_1004))) _let_2455 :args _let_1004))) (let ((_let_2484 (CONG _let_1934 _let_2455 :args _let_1004))) (let ((_let_2485 (CONG (TRANS _let_2484 _let_2483 (SYMM _let_2477)) (TRANS _let_2476 _let_2475 _let_2472 _let_2469 _let_2474 (SYMM _let_2458) _let_1059 _let_1063 _let_1113 _let_1055) :args _let_996))) (let ((_let_2486 (ASSUME :args (_let_611)))) (let ((_let_2487 (CONG (SYMM _let_2484) (TRANS (CONG _let_2455 (TRANS (SYMM _let_2479) _let_2481 _let_1057 _let_1077) :args _let_1004) (CONG _let_2455 _let_1078 :args _let_1004) (SYMM _let_2486) _let_1054 _let_1074 _let_1064 _let_1062 _let_2458 (SYMM _let_2474) (SYMM _let_2469) _let_2471 (SYMM _let_2475) (SYMM _let_2476)) :args _let_996))) (let ((_let_2488 (ASSUME :args (_let_183)))) (let ((_let_2489 (SYMM (SYMM _let_2488)))) (let ((_let_2490 (TRANS (TRANS (CONG (SYMM _let_2332) _let_1922 :args _let_1004) (CONG _let_2080 (TRANS _let_1887 _let_1905 _let_1902) :args _let_1004) (CONG _let_2080 (TRANS _let_2413 _let_1904 _let_1886 _let_2407 _let_2137 _let_2132 _let_2129 _let_2134 _let_2116 _let_1133) :args _let_1004)) (TRANS (CONG _let_2080 (TRANS _let_2200 _let_2197 _let_2196 _let_1128 _let_1125 _let_1061 _let_1055 _let_1634 _let_1631) :args _let_1004) (CONG _let_2080 (TRANS _let_1649 _let_1633 _let_1054 _let_1112 _let_2478) :args _let_1004) _let_2489 _let_2487 _let_2485 (CONG (TRANS _let_2489 _let_2487 _let_2485 (CONG (TRANS _let_2477 (SYMM _let_2483) (CONG (TRANS _let_1941 _let_2457) (TRANS _let_2489 _let_2487 _let_2485 (SYMM _let_2456)) :args _let_1004) (CONG (SYMM _let_2457) _let_2456 :args _let_1004) (CONG _let_1056 (REFL :args (_let_213)) :args _let_1004)) (TRANS _let_1056 _let_1073) :args _let_996)) _let_1056 :args _let_996) (SYMM _let_2453) _let_1057 _let_1054 _let_1112 _let_2251 _let_1127 _let_2250 _let_2249 _let_2199)))) (let ((_let_2491 (REFL :args ((tptp.meet _let_56 _let_66))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_12 _let_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_981)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_991)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_2406 _let_2398 _let_2435 _let_2425 _let_2384 _let_2353 _let_2302 _let_2301 _let_2271 _let_2242 _let_2372 _let_2236 _let_1017 _let_2229 _let_999 _let_2198 _let_2187 _let_2164 _let_2159 _let_2136 _let_2130 _let_2117 _let_2110 _let_2102 _let_2121 _let_2075 _let_2070 _let_2379 _let_2144 _let_2035 _let_2017 _let_2001 _let_1984 _let_1978 _let_1976 _let_1959 _let_1955 _let_1940 _let_1928 _let_1903 _let_2015 _let_1873 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% 200.22/200.52 )
% 200.22/200.54 % SZS output end Proof for LAT089-1
% 200.31/200.54 % cvc5---1.0.5 exiting
% 200.31/200.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------