TSTP Solution File: RNG008-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG008-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:49:26 EDT 2023
% Result : Unsatisfiable 2.80s 2.99s
% Output : Proof 2.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : RNG008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n007.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 02:37:57 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.mcVhLwP7Wq/cvc5---1.0.5_14355.p...
% 0.23/0.53 ------- get file name : TPTP file name is RNG008-3
% 0.23/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14355.smt2...
% 0.23/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.80/2.99 % SZS status Unsatisfiable for RNG008-3
% 2.80/2.99 % SZS output start Proof for RNG008-3
% 2.89/3.07 (
% 2.89/3.07 (let ((_let_1 (tptp.multiply tptp.b tptp.a))) (let ((_let_2 (not (= _let_1 tptp.c)))) (let ((_let_3 (tptp.multiply tptp.a tptp.b))) (let ((_let_4 (= _let_3 tptp.c))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.multiply X X) X)))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.add X Y) Z) (tptp.add X (tptp.add Y Z)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.additive_inverse (tptp.add X Y)) (tptp.add (tptp.additive_inverse X) (tptp.additive_inverse Y)))))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)))) (let ((_let_16 (tptp.additive_inverse tptp.additive_identity))) (let ((_let_17 (= _let_16 tptp.additive_identity))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_20 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))) (let ((_let_21 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_22 (= tptp.additive_identity _let_16))) (let ((_let_23 (= tptp.c _let_3))) (let ((_let_24 (= tptp.c _let_1))) (let ((_let_25 (= tptp.additive_identity (tptp.add _let_16 tptp.additive_identity)))) (let ((_let_26 (tptp.additive_inverse tptp.a))) (let ((_let_27 (tptp.add _let_26 tptp.a))) (let ((_let_28 (= tptp.additive_identity _let_27))) (let ((_let_29 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_30 (= tptp.additive_identity _let_29))) (let ((_let_31 (tptp.add tptp.a tptp.additive_identity))) (let ((_let_32 (tptp.add tptp.additive_identity tptp.a))) (let ((_let_33 (= _let_32 _let_31))) (let ((_let_34 (tptp.add tptp.a _let_26))) (let ((_let_35 (= tptp.additive_identity _let_34))) (let ((_let_36 (= tptp.a _let_32))) (let ((_let_37 (tptp.add _let_26 tptp.additive_identity))) (let ((_let_38 (tptp.add tptp.a _let_37))) (let ((_let_39 (= (tptp.add _let_34 tptp.additive_identity) _let_38))) (let ((_let_40 (tptp.multiply tptp.b tptp.additive_identity))) (let ((_let_41 (tptp.add _let_40 _let_1))) (let ((_let_42 (= (tptp.multiply tptp.b _let_32) _let_41))) (let ((_let_43 (tptp.multiply tptp.a _let_37))) (let ((_let_44 (tptp.multiply tptp.a tptp.a))) (let ((_let_45 (= (tptp.multiply tptp.a _let_38) (tptp.add _let_44 _let_43)))) (let ((_let_46 (tptp.multiply tptp.additive_identity tptp.b))) (let ((_let_47 (tptp.add _let_46 _let_3))) (let ((_let_48 (= (tptp.multiply _let_32 tptp.b) _let_47))) (let ((_let_49 (tptp.additive_inverse _let_26))) (let ((_let_50 (= tptp.a _let_49))) (let ((_let_51 (tptp.multiply tptp.a tptp.additive_identity))) (let ((_let_52 (= tptp.additive_identity _let_51))) (let ((_let_53 (tptp.multiply _let_26 tptp.additive_identity))) (let ((_let_54 (= tptp.additive_identity _let_53))) (let ((_let_55 (tptp.multiply tptp.additive_identity tptp.a))) (let ((_let_56 (= tptp.additive_identity _let_55))) (let ((_let_57 (tptp.multiply tptp.additive_identity _let_26))) (let ((_let_58 (= tptp.additive_identity _let_57))) (let ((_let_59 (= (tptp.additive_inverse _let_31) (tptp.add _let_26 _let_16)))) (let ((_let_60 (= tptp.additive_identity _let_40))) (let ((_let_61 (= tptp.additive_identity _let_46))) (let ((_let_62 (tptp.multiply tptp.b _let_26))) (let ((_let_63 (tptp.additive_inverse _let_62))) (let ((_let_64 (= (tptp.multiply tptp.b _let_49) _let_63))) (let ((_let_65 (tptp.multiply tptp.a _let_26))) (let ((_let_66 (= _let_65 (tptp.additive_inverse _let_44)))) (let ((_let_67 (= (tptp.multiply tptp.a _let_49) (tptp.additive_inverse _let_65)))) (let ((_let_68 (tptp.multiply _let_26 tptp.b))) (let ((_let_69 (tptp.additive_inverse _let_68))) (let ((_let_70 (= (tptp.multiply _let_49 tptp.b) _let_69))) (let ((_let_71 (tptp.multiply _let_26 _let_37))) (let ((_let_72 (= _let_71 (tptp.additive_inverse _let_43)))) (let ((_let_73 (= _let_41 (tptp.add _let_1 _let_40)))) (let ((_let_74 (= _let_47 (tptp.add _let_3 _let_46)))) (let ((_let_75 (tptp.multiply tptp.additive_identity _let_68))) (let ((_let_76 (= (tptp.multiply _let_57 tptp.b) _let_75))) (let ((_let_77 (= tptp.a _let_44))) (let ((_let_78 (= _let_37 (tptp.multiply _let_37 _let_37)))) (let ((_let_79 (tptp.add _let_69 _let_68))) (let ((_let_80 (= tptp.additive_identity _let_79))) (let ((_let_81 (tptp.add _let_63 _let_62))) (let ((_let_82 (= tptp.additive_identity _let_81))) (let ((_let_83 (tptp.add tptp.additive_identity tptp.b))) (let ((_let_84 (= (tptp.multiply _let_26 _let_83) (tptp.add _let_53 _let_68)))) (let ((_let_85 (tptp.additive_inverse tptp.b))) (let ((_let_86 (tptp.multiply tptp.additive_identity _let_85))) (let ((_let_87 (= (tptp.additive_inverse _let_46) _let_86))) (let ((_let_88 (tptp.multiply tptp.a _let_85))) (let ((_let_89 (= _let_88 (tptp.additive_inverse _let_3)))) (let ((_let_90 (tptp.multiply _let_85 tptp.additive_identity))) (let ((_let_91 (= (tptp.additive_inverse _let_40) _let_90))) (let ((_let_92 (tptp.multiply _let_85 tptp.a))) (let ((_let_93 (= _let_92 (tptp.additive_inverse _let_1)))) (let ((_let_94 (tptp.add tptp.a _let_3))) (let ((_let_95 (= (tptp.add _let_27 _let_3) (tptp.add _let_26 _let_94)))) (let ((_let_96 (tptp.add _let_1 _let_26))) (let ((_let_97 (tptp.add _let_96 tptp.a))) (let ((_let_98 (= _let_97 (tptp.add _let_1 _let_27)))) (let ((_let_99 (tptp.add _let_3 _let_26))) (let ((_let_100 (tptp.add _let_99 tptp.a))) (let ((_let_101 (= _let_100 (tptp.add _let_3 _let_27)))) (let ((_let_102 (tptp.multiply _let_37 tptp.b))) (let ((_let_103 (= (tptp.multiply _let_71 tptp.b) (tptp.multiply _let_26 _let_102)))) (let ((_let_104 (tptp.multiply _let_68 _let_26))) (let ((_let_105 (= (tptp.multiply _let_75 _let_26) (tptp.multiply tptp.additive_identity _let_104)))) (let ((_let_106 (tptp.multiply _let_68 _let_68))) (let ((_let_107 (= (tptp.multiply _let_75 _let_68) (tptp.multiply tptp.additive_identity _let_106)))) (let ((_let_108 (tptp.multiply _let_62 _let_37))) (let ((_let_109 (= _let_108 (tptp.multiply tptp.b _let_71)))) (let ((_let_110 (tptp.multiply _let_68 tptp.additive_identity))) (let ((_let_111 (= _let_110 (tptp.multiply _let_26 _let_40)))) (let ((_let_112 (= tptp.b _let_83))) (let ((_let_113 (= tptp.additive_identity (tptp.add _let_85 tptp.b)))) (let ((_let_114 (tptp.multiply tptp.additive_identity _let_62))) (let ((_let_115 (= (tptp.multiply tptp.additive_identity _let_81) (tptp.add (tptp.multiply tptp.additive_identity _let_63) _let_114)))) (let ((_let_116 (= (tptp.multiply tptp.additive_identity _let_100) (tptp.add (tptp.multiply tptp.additive_identity _let_99) _let_55)))) (let ((_let_117 (tptp.multiply _let_68 tptp.a))) (let ((_let_118 (tptp.add _let_110 _let_117))) (let ((_let_119 (= (tptp.multiply _let_68 _let_32) _let_118))) (let ((_let_120 (tptp.multiply tptp.a _let_68))) (let ((_let_121 (tptp.add _let_68 _let_85))) (let ((_let_122 (tptp.multiply tptp.a _let_121))) (let ((_let_123 (= _let_122 (tptp.add _let_120 _let_88)))) (let ((_let_124 (tptp.add _let_37 _let_37))) (let ((_let_125 (= (tptp.multiply _let_62 _let_124) (tptp.add _let_108 _let_108)))) (let ((_let_126 (tptp.add _let_68 _let_37))) (let ((_let_127 (= (tptp.multiply tptp.a _let_126) (tptp.add _let_120 _let_43)))) (let ((_let_128 (tptp.multiply _let_69 _let_26))) (let ((_let_129 (= (tptp.multiply _let_79 _let_26) (tptp.add _let_128 _let_104)))) (let ((_let_130 (tptp.multiply _let_62 tptp.b))) (let ((_let_131 (tptp.multiply _let_63 tptp.b))) (let ((_let_132 (= (tptp.multiply _let_81 tptp.b) (tptp.add _let_131 _let_130)))) (let ((_let_133 (tptp.multiply _let_99 tptp.additive_identity))) (let ((_let_134 (= (tptp.multiply _let_100 tptp.additive_identity) (tptp.add _let_133 _let_51)))) (let ((_let_135 (tptp.multiply _let_99 _let_26))) (let ((_let_136 (tptp.add _let_135 _let_65))) (let ((_let_137 (= (tptp.multiply _let_100 _let_26) _let_136))) (let ((_let_138 (tptp.multiply _let_99 tptp.b))) (let ((_let_139 (tptp.add _let_138 _let_3))) (let ((_let_140 (= (tptp.multiply _let_100 tptp.b) _let_139))) (let ((_let_141 (tptp.multiply _let_99 _let_68))) (let ((_let_142 (tptp.add _let_141 _let_120))) (let ((_let_143 (= (tptp.multiply _let_100 _let_68) _let_142))) (let ((_let_144 (tptp.multiply _let_85 _let_37))) (let ((_let_145 (tptp.add _let_62 _let_85))) (let ((_let_146 (tptp.multiply _let_145 _let_37))) (let ((_let_147 (= _let_146 (tptp.add _let_108 _let_144)))) (let ((_let_148 (= (tptp.multiply (tptp.add _let_62 _let_26) _let_37) (tptp.add _let_108 _let_71)))) (let ((_let_149 (= (tptp.additive_inverse (tptp.add _let_68 tptp.a)) (tptp.add _let_69 _let_26)))) (let ((_let_150 (tptp.additive_inverse _let_117))) (let ((_let_151 (= _let_104 _let_150))) (let ((_let_152 (tptp.additive_inverse _let_85))) (let ((_let_153 (tptp.multiply tptp.a _let_152))) (let ((_let_154 (= _let_153 (tptp.additive_inverse _let_88)))) (let ((_let_155 (tptp.multiply _let_68 tptp.b))) (let ((_let_156 (= (tptp.multiply _let_69 tptp.b) (tptp.additive_inverse _let_155)))) (let ((_let_157 (tptp.multiply _let_152 tptp.a))) (let ((_let_158 (= _let_157 (tptp.additive_inverse _let_92)))) (let ((_let_159 (tptp.add _let_62 tptp.a))) (let ((_let_160 (= (tptp.add _let_81 tptp.a) (tptp.add _let_63 _let_159)))) (let ((_let_161 (tptp.add _let_68 _let_1))) (let ((_let_162 (= (tptp.add _let_79 _let_1) (tptp.add _let_69 _let_161)))) (let ((_let_163 (= (tptp.add _let_97 _let_62) (tptp.add _let_96 (tptp.add tptp.a _let_62))))) (let ((_let_164 (tptp.add tptp.a _let_1))) (let ((_let_165 (= (tptp.add _let_32 _let_1) (tptp.add tptp.additive_identity _let_164)))) (let ((_let_166 (= (tptp.add _let_32 _let_3) (tptp.add tptp.additive_identity _let_94)))) (let ((_let_167 (= (tptp.add _let_97 _let_26) (tptp.add _let_96 _let_34)))) (let ((_let_168 (= (tptp.add _let_100 _let_26) (tptp.add _let_99 _let_34)))) (let ((_let_169 (tptp.add tptp.a _let_63))) (let ((_let_170 (tptp.add _let_169 _let_62))) (let ((_let_171 (= _let_170 (tptp.add tptp.a _let_81)))) (let ((_let_172 (tptp.add _let_1 _let_69))) (let ((_let_173 (tptp.add _let_172 _let_68))) (let ((_let_174 (= _let_173 (tptp.add _let_1 _let_79)))) (let ((_let_175 (tptp.add _let_3 _let_63))) (let ((_let_176 (= (tptp.add _let_175 _let_62) (tptp.add _let_3 _let_81)))) (let ((_let_177 (tptp.add tptp.b _let_63))) (let ((_let_178 (tptp.add _let_177 _let_62))) (let ((_let_179 (= _let_178 (tptp.add tptp.b _let_81)))) (let ((_let_180 (tptp.add tptp.b tptp.additive_identity))) (let ((_let_181 (= _let_83 _let_180))) (let ((_let_182 (= _let_99 (tptp.add _let_26 _let_3)))) (let ((_let_183 (= _let_164 (tptp.add _let_1 tptp.a)))) (let ((_let_184 (tptp.multiply tptp.a _let_104))) (let ((_let_185 (= (tptp.multiply _let_120 _let_26) _let_184))) (let ((_let_186 (tptp.multiply _let_104 _let_37))) (let ((_let_187 (= _let_186 (tptp.multiply _let_68 _let_71)))) (let ((_let_188 (tptp.multiply _let_117 _let_68))) (let ((_let_189 (= _let_188 (tptp.multiply _let_68 _let_120)))) (let ((_let_190 (tptp.add tptp.b _let_85))) (let ((_let_191 (= tptp.additive_identity _let_190))) (let ((_let_192 (tptp.multiply tptp.b tptp.b))) (let ((_let_193 (= tptp.b _let_192))) (let ((_let_194 (= _let_68 _let_106))) (let ((_let_195 (= _let_85 (tptp.add tptp.additive_identity _let_85)))) (let ((_let_196 (= (tptp.multiply tptp.additive_identity _let_136) (tptp.add (tptp.multiply tptp.additive_identity _let_135) (tptp.multiply tptp.additive_identity _let_65))))) (let ((_let_197 (tptp.multiply _let_68 _let_62))) (let ((_let_198 (tptp.multiply _let_68 _let_177))) (let ((_let_199 (tptp.add _let_198 _let_197))) (let ((_let_200 (= (tptp.multiply _let_68 _let_178) _let_199))) (let ((_let_201 (tptp.multiply tptp.additive_identity _let_172))) (let ((_let_202 (= (tptp.multiply tptp.additive_identity _let_173) (tptp.add _let_201 _let_75)))) (let ((_let_203 (tptp.add _let_94 _let_46))) (let ((_let_204 (= (tptp.multiply tptp.additive_identity _let_203) (tptp.add (tptp.multiply tptp.additive_identity _let_94) (tptp.multiply tptp.additive_identity _let_46))))) (let ((_let_205 (tptp.multiply _let_85 _let_68))) (let ((_let_206 (tptp.multiply _let_85 _let_172))) (let ((_let_207 (tptp.add _let_206 _let_205))) (let ((_let_208 (= (tptp.multiply _let_85 _let_173) _let_207))) (let ((_let_209 (tptp.multiply _let_68 _let_172))) (let ((_let_210 (tptp.add _let_209 _let_106))) (let ((_let_211 (= (tptp.multiply _let_68 _let_173) _let_210))) (let ((_let_212 (tptp.multiply _let_62 _let_62))) (let ((_let_213 (tptp.multiply _let_62 _let_177))) (let ((_let_214 (tptp.add _let_213 _let_212))) (let ((_let_215 (= (tptp.multiply _let_62 _let_178) _let_214))) (let ((_let_216 (tptp.multiply _let_99 tptp.a))) (let ((_let_217 (= (tptp.multiply _let_99 _let_32) (tptp.add _let_133 _let_216)))) (let ((_let_218 (tptp.multiply _let_62 _let_65))) (let ((_let_219 (tptp.multiply _let_62 _let_135))) (let ((_let_220 (tptp.add _let_219 _let_218))) (let ((_let_221 (= (tptp.multiply _let_62 _let_136) _let_220))) (let ((_let_222 (tptp.multiply _let_106 _let_65))) (let ((_let_223 (tptp.multiply _let_106 _let_135))) (let ((_let_224 (tptp.add _let_223 _let_222))) (let ((_let_225 (= (tptp.multiply _let_106 _let_136) _let_224))) (let ((_let_226 (tptp.multiply _let_106 _let_3))) (let ((_let_227 (tptp.multiply _let_106 _let_138))) (let ((_let_228 (tptp.add _let_227 _let_226))) (let ((_let_229 (= (tptp.multiply _let_106 _let_139) _let_228))) (let ((_let_230 (tptp.multiply _let_85 _let_62))) (let ((_let_231 (tptp.multiply _let_85 _let_177))) (let ((_let_232 (= (tptp.multiply _let_85 _let_178) (tptp.add _let_231 _let_230)))) (let ((_let_233 (tptp.add _let_37 _let_121))) (let ((_let_234 (= (tptp.multiply _let_26 _let_233) (tptp.add _let_71 (tptp.multiply _let_26 _let_121))))) (let ((_let_235 (tptp.add _let_68 _let_68))) (let ((_let_236 (= (tptp.multiply _let_117 _let_235) (tptp.add _let_188 _let_188)))) (let ((_let_237 (tptp.multiply _let_26 _let_152))) (let ((_let_238 (tptp.add _let_37 _let_152))) (let ((_let_239 (= (tptp.multiply _let_26 _let_238) (tptp.add _let_71 _let_237)))) (let ((_let_240 (tptp.multiply _let_96 _let_37))) (let ((_let_241 (= (tptp.multiply _let_96 _let_124) (tptp.add _let_240 _let_240)))) (let ((_let_242 (tptp.multiply tptp.a _let_99))) (let ((_let_243 (tptp.add _let_121 _let_99))) (let ((_let_244 (tptp.multiply tptp.a _let_243))) (let ((_let_245 (= _let_244 (tptp.add _let_122 _let_242)))) (let ((_let_246 (tptp.add _let_152 _let_99))) (let ((_let_247 (tptp.multiply tptp.a _let_246))) (let ((_let_248 (= _let_247 (tptp.add _let_153 _let_242)))) (let ((_let_249 (tptp.add tptp.b tptp.a))) (let ((_let_250 (tptp.multiply tptp.b _let_249))) (let ((_let_251 (= _let_250 (tptp.add _let_192 _let_1)))) (let ((_let_252 (tptp.multiply _let_177 tptp.additive_identity))) (let ((_let_253 (= (tptp.multiply _let_178 tptp.additive_identity) (tptp.add _let_252 (tptp.multiply _let_62 tptp.additive_identity))))) (let ((_let_254 (tptp.multiply tptp.b _let_68))) (let 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(tptp.additive_inverse _let_178) (tptp.add _let_298 _let_63)))) (let ((_let_300 (= (tptp.additive_inverse _let_180) (tptp.add _let_85 _let_16)))) (let ((_let_301 (tptp.add _let_68 tptp.b))) (let ((_let_302 (tptp.additive_inverse _let_301))) (let ((_let_303 (= _let_302 (tptp.add _let_69 _let_85)))) (let ((_let_304 (tptp.add _let_62 tptp.b))) (let ((_let_305 (= (tptp.additive_inverse _let_304) (tptp.add _let_63 _let_85)))) (let ((_let_306 (tptp.add _let_62 _let_68))) (let ((_let_307 (= (tptp.additive_inverse _let_306) (tptp.add _let_63 _let_69)))) (let ((_let_308 (tptp.multiply tptp.b _let_62))) (let ((_let_309 (tptp.additive_inverse _let_308))) (let ((_let_310 (= (tptp.multiply tptp.b _let_63) _let_309))) (let ((_let_311 (tptp.additive_inverse _let_130))) (let ((_let_312 (tptp.multiply _let_62 _let_85))) (let ((_let_313 (= _let_312 _let_311))) (let ((_let_314 (= _let_135 (tptp.additive_inverse _let_216)))) (let ((_let_315 (tptp.multiply _let_62 _let_117))) (let ((_let_316 (= (tptp.multiply _let_62 _let_150) (tptp.additive_inverse _let_315)))) (let ((_let_317 (= (tptp.additive_inverse _let_141) (tptp.multiply _let_99 _let_69)))) (let ((_let_318 (tptp.multiply _let_106 _let_85))) (let ((_let_319 (= _let_318 (tptp.additive_inverse (tptp.multiply _let_106 tptp.b))))) (let ((_let_320 (= (tptp.multiply _let_106 _let_150) (tptp.additive_inverse (tptp.multiply _let_106 _let_117))))) (let ((_let_321 (tptp.multiply tptp.b _let_85))) (let ((_let_322 (= (tptp.additive_inverse _let_192) _let_321))) (let ((_let_323 (= _let_230 _let_309))) (let ((_let_324 (= _let_131 _let_311))) (let ((_let_325 (tptp.multiply _let_85 _let_192))) (let ((_let_326 (= _let_325 (tptp.additive_inverse (tptp.multiply tptp.b _let_192))))) (let ((_let_327 (tptp.add _let_85 _let_1))) (let ((_let_328 (= (tptp.add _let_190 _let_1) (tptp.add tptp.b _let_327)))) (let ((_let_329 (tptp.add _let_85 _let_3))) (let ((_let_330 (= (tptp.add _let_190 _let_3) (tptp.add tptp.b _let_329)))) (let ((_let_331 (= 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((_let_365 (tptp.add _let_364 _let_65))) (let ((_let_366 (= _let_365 (tptp.add _let_128 _let_136)))) (let ((_let_367 (tptp.add _let_164 tptp.b))) (let ((_let_368 (tptp.add _let_367 _let_85))) (let ((_let_369 (= _let_368 (tptp.add _let_164 _let_190)))) (let ((_let_370 (tptp.add _let_94 tptp.b))) (let ((_let_371 (tptp.add _let_370 _let_85))) (let ((_let_372 (= _let_371 (tptp.add _let_94 _let_190)))) (let ((_let_373 (= (tptp.add (tptp.add _let_169 _let_172) _let_68) (tptp.add _let_169 _let_173)))) (let ((_let_374 (tptp.add tptp.b _let_172))) (let ((_let_375 (tptp.add _let_374 _let_68))) (let ((_let_376 (= _let_375 (tptp.add tptp.b _let_173)))) (let ((_let_377 (tptp.add _let_177 _let_172))) (let ((_let_378 (tptp.add _let_377 _let_68))) (let ((_let_379 (= _let_378 (tptp.add _let_177 _let_173)))) (let ((_let_380 (= _let_118 (tptp.add _let_117 _let_110)))) (let ((_let_381 (= _let_161 (tptp.add _let_1 _let_68)))) (let ((_let_382 (= (tptp.add _let_69 _let_99) (tptp.add _let_99 _let_69)))) (let ((_let_383 (tptp.add _let_85 _let_68))) (let ((_let_384 (= _let_121 _let_383))) (let ((_let_385 (= _let_145 (tptp.add _let_85 _let_62)))) (let ((_let_386 (= _let_304 (tptp.add tptp.b _let_62)))) (let ((_let_387 (= _let_136 (tptp.add _let_65 _let_135)))) (let ((_let_388 (= _let_139 (tptp.add _let_3 _let_138)))) (let ((_let_389 (= (tptp.multiply _let_192 tptp.a) (tptp.multiply tptp.b _let_1)))) (let ((_let_390 (= (tptp.multiply _let_188 _let_26) (tptp.multiply _let_117 _let_104)))) (let ((_let_391 (tptp.multiply _let_152 _let_68))) (let ((_let_392 (tptp.multiply tptp.a _let_391))) (let ((_let_393 (= (tptp.multiply _let_153 _let_68) _let_392))) (let ((_let_394 (= (tptp.multiply _let_157 tptp.b) (tptp.multiply _let_152 _let_3)))) (let ((_let_395 (= (tptp.multiply _let_157 _let_68) (tptp.multiply _let_152 _let_120)))) (let ((_let_396 (= (tptp.multiply _let_157 _let_104) (tptp.multiply _let_152 _let_184)))) (let ((_let_397 (= (tptp.multiply tptp.a _let_138) (tptp.multiply _let_242 tptp.b)))) 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_let_106 _let_186)))) (let ((_let_413 (= _let_177 (tptp.add tptp.additive_identity _let_177)))) (let ((_let_414 (= tptp.additive_identity (tptp.add _let_302 _let_301)))) (let ((_let_415 (= (tptp.multiply tptp.additive_identity _let_275) (tptp.add (tptp.multiply tptp.additive_identity _let_274) (tptp.multiply tptp.additive_identity _let_273))))) (let ((_let_416 (tptp.multiply _let_62 _let_367))) (let ((_let_417 (= (tptp.multiply _let_62 _let_368) (tptp.add _let_416 _let_312)))) (let ((_let_418 (tptp.add _let_161 _let_40))) (let ((_let_419 (= (tptp.multiply tptp.additive_identity _let_418) (tptp.add (tptp.multiply tptp.additive_identity _let_161) (tptp.multiply tptp.additive_identity _let_40))))) (let ((_let_420 (= (tptp.multiply _let_68 _let_418) (tptp.add (tptp.multiply _let_68 _let_161) (tptp.multiply _let_68 _let_40))))) (let ((_let_421 (= (tptp.multiply _let_62 _let_275) (tptp.add (tptp.multiply _let_62 _let_274) (tptp.multiply _let_62 _let_273))))) (let ((_let_422 (= (tptp.multiply _let_106 _let_279) (tptp.add (tptp.multiply _let_106 _let_278) (tptp.multiply _let_106 _let_277))))) (let ((_let_423 (tptp.add _let_304 tptp.additive_identity))) (let ((_let_424 (= (tptp.multiply _let_85 _let_423) (tptp.add (tptp.multiply _let_85 _let_304) _let_90)))) (let ((_let_425 (= (tptp.multiply _let_169 _let_228) (tptp.add (tptp.multiply _let_169 _let_227) (tptp.multiply _let_169 _let_226))))) (let ((_let_426 (= (tptp.multiply tptp.b _let_371) (tptp.add (tptp.multiply tptp.b _let_370) _let_321)))) (let ((_let_427 (= (tptp.multiply tptp.additive_identity _let_329) (tptp.add _let_86 (tptp.multiply tptp.additive_identity _let_3))))) (let ((_let_428 (tptp.multiply _let_172 _let_377))) (let ((_let_429 (tptp.add _let_428 _let_266))) (let ((_let_430 (= (tptp.multiply _let_172 _let_378) _let_429))) (let ((_let_431 (tptp.multiply _let_282 tptp.a))) (let ((_let_432 (= (tptp.multiply _let_282 _let_32) (tptp.add (tptp.multiply _let_282 tptp.additive_identity) _let_431)))) (let ((_let_433 (= (tptp.multiply _let_315 _let_235) (tptp.add _let_404 _let_404)))) (let ((_let_434 (= (tptp.multiply _let_85 (tptp.add _let_62 _let_192)) (tptp.add _let_230 _let_325)))) (let ((_let_435 (= (tptp.multiply _let_291 _let_124) (tptp.add _let_292 _let_292)))) (let ((_let_436 (= (tptp.multiply tptp.b _let_304) (tptp.add _let_308 _let_192)))) (let ((_let_437 (= (tptp.multiply _let_99 _let_335) (tptp.add _let_141 _let_135)))) (let ((_let_438 (= (tptp.multiply _let_85 (tptp.add _let_177 tptp.a)) (tptp.add _let_231 _let_92)))) (let ((_let_439 (= (tptp.multiply _let_68 _let_145) (tptp.add _let_197 _let_269)))) (let ((_let_440 (tptp.add _let_249 tptp.additive_identity))) (let ((_let_441 (tptp.multiply tptp.b _let_440))) (let ((_let_442 (= _let_441 (tptp.add _let_250 _let_40)))) (let ((_let_443 (tptp.multiply _let_377 tptp.b))) (let ((_let_444 (= (tptp.multiply _let_378 tptp.b) (tptp.add _let_443 _let_155)))) (let ((_let_445 (= (tptp.multiply _let_343 _let_37) (tptp.add _let_259 (tptp.multiply _let_121 _let_37))))) (let ((_let_446 (tptp.multiply _let_205 _let_62))) (let ((_let_447 (tptp.multiply _let_206 _let_62))) (let ((_let_448 (tptp.add _let_447 _let_446))) (let ((_let_449 (= (tptp.multiply _let_207 _let_62) _let_448))) (let ((_let_450 (tptp.multiply _let_377 _let_177))) (let ((_let_451 (= (tptp.multiply _let_378 _let_177) (tptp.add _let_450 _let_198)))) (let ((_let_452 (= (tptp.multiply _let_365 _let_172) (tptp.add (tptp.multiply _let_364 _let_172) (tptp.multiply _let_65 _let_172))))) (let ((_let_453 (tptp.multiply tptp.a _let_172))) (let ((_let_454 (= (tptp.multiply _let_32 _let_172) (tptp.add _let_201 _let_453)))) (let ((_let_455 (= (tptp.multiply _let_228 _let_135) (tptp.add (tptp.multiply _let_227 _let_135) (tptp.multiply _let_226 _let_135))))) (let ((_let_456 (= (tptp.multiply _let_423 tptp.additive_identity) (tptp.add (tptp.multiply _let_304 tptp.additive_identity) _let_29)))) (let ((_let_457 (= (tptp.multiply _let_418 _let_37) (tptp.add (tptp.multiply _let_161 _let_37) (tptp.multiply _let_40 _let_37))))) (let ((_let_458 (= (tptp.multiply _let_418 tptp.additive_identity) (tptp.add (tptp.multiply _let_161 tptp.additive_identity) (tptp.multiply _let_40 tptp.additive_identity))))) (let ((_let_459 (= (tptp.multiply _let_418 _let_68) (tptp.add (tptp.multiply _let_161 _let_68) (tptp.multiply _let_40 _let_68))))) (let ((_let_460 (= (tptp.multiply _let_418 _let_104) (tptp.add (tptp.multiply _let_161 _let_104) (tptp.multiply _let_40 _let_104))))) (let ((_let_461 (= (tptp.multiply _let_368 _let_104) (tptp.add (tptp.multiply _let_367 _let_104) _let_256)))) (let ((_let_462 (tptp.add _let_106 tptp.b))) (let ((_let_463 (tptp.multiply _let_462 _let_85))) (let ((_let_464 (= _let_463 (tptp.add _let_318 _let_321)))) (let ((_let_465 (= (tptp.multiply (tptp.add _let_138 tptp.a) tptp.b) (tptp.add _let_409 _let_3)))) (let ((_let_466 (= (tptp.multiply (tptp.add _let_315 _let_85) _let_68) (tptp.add _let_404 _let_205)))) (let ((_let_467 (= (tptp.multiply _let_145 _let_104) (tptp.add _let_282 _let_256)))) (let ((_let_468 (= (tptp.multiply (tptp.add _let_172 _let_288) _let_37) (tptp.add _let_259 _let_289)))) (let ((_let_469 (tptp.add _let_172 tptp.a))) (let ((_let_470 (tptp.multiply _let_469 tptp.b))) (let ((_let_471 (= _let_470 (tptp.add _let_264 _let_3)))) (let ((_let_472 (tptp.multiply _let_469 _let_85))) (let ((_let_473 (= _let_472 (tptp.add _let_270 _let_88)))) (let ((_let_474 (= (tptp.multiply (tptp.add _let_169 tptp.b) _let_104) (tptp.add _let_283 _let_257)))) (let ((_let_475 (= (tptp.multiply _let_301 tptp.b) (tptp.add _let_155 _let_192)))) (let ((_let_476 (tptp.add tptp.a _let_138))) (let ((_let_477 (tptp.multiply _let_476 tptp.b))) (let ((_let_478 (= _let_477 (tptp.add _let_3 _let_409)))) (let ((_let_479 (= (tptp.additive_inverse _let_354) (tptp.add (tptp.additive_inverse _let_353) _let_152)))) (let ((_let_480 (= (tptp.additive_inverse (tptp.add _let_177 _let_85)) (tptp.add _let_298 _let_152)))) (let ((_let_481 (= (tptp.additive_inverse _let_249) (tptp.add _let_85 _let_26)))) (let ((_let_482 (tptp.additive_inverse _let_99))) (let ((_let_483 (= (tptp.additive_inverse (tptp.add tptp.b _let_99)) (tptp.add _let_85 _let_482)))) (let ((_let_484 (= (tptp.additive_inverse (tptp.add _let_117 _let_135)) (tptp.add _let_150 (tptp.additive_inverse _let_135))))) (let ((_let_485 (tptp.multiply _let_85 _let_85))) (let ((_let_486 (= _let_485 (tptp.additive_inverse (tptp.multiply _let_85 tptp.b))))) (let ((_let_487 (tptp.additive_inverse _let_205))) (let ((_let_488 (= _let_487 (tptp.multiply _let_85 _let_69)))) (let ((_let_489 (tptp.additive_inverse _let_172))) (let ((_let_490 (tptp.additive_inverse _let_206))) (let ((_let_491 (= _let_490 (tptp.multiply _let_85 _let_489)))) (let ((_let_492 (tptp.multiply _let_177 tptp.a))) (let ((_let_493 (= (tptp.multiply _let_177 _let_26) (tptp.additive_inverse _let_492)))) (let ((_let_494 (tptp.additive_inverse (tptp.multiply tptp.b _let_99)))) (let ((_let_495 (= (tptp.multiply tptp.b _let_482) 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(tptp.add _let_337 tptp.b))) (let ((_let_511 (= (tptp.add _let_338 tptp.b) (tptp.add tptp.b _let_510)))) (let ((_let_512 (tptp.multiply _let_26 _let_62))) (let ((_let_513 (= (tptp.add _let_210 _let_512) (tptp.add _let_209 (tptp.add _let_106 _let_512))))) (let ((_let_514 (= (tptp.add _let_365 _let_216) (tptp.add _let_364 (tptp.add _let_65 _let_216))))) (let ((_let_515 (= (tptp.add _let_329 _let_37) (tptp.add _let_85 (tptp.add _let_3 _let_37))))) (let ((_let_516 (tptp.add _let_377 _let_126))) (let ((_let_517 (= (tptp.add _let_378 _let_37) _let_516))) (let ((_let_518 (tptp.multiply _let_106 _let_155))) (let ((_let_519 (= (tptp.add _let_371 _let_518) (tptp.add _let_370 (tptp.add _let_85 _let_518))))) (let ((_let_520 (= (tptp.add _let_329 _let_99) (tptp.add _let_85 (tptp.add _let_3 _let_99))))) (let ((_let_521 (= (tptp.add _let_378 _let_99) (tptp.add _let_377 (tptp.add _let_68 _let_99))))) (let ((_let_522 (= (tptp.add _let_85 _let_96) (tptp.add _let_327 _let_26)))) (let ((_let_523 (= (tptp.add _let_210 _let_68) (tptp.add _let_209 (tptp.add _let_106 _let_68))))) (let ((_let_524 (= (tptp.add _let_368 _let_145) (tptp.add _let_367 (tptp.add _let_85 _let_145))))) (let ((_let_525 (= (tptp.add _let_327 _let_96) (tptp.add _let_85 (tptp.add _let_1 _let_96))))) (let ((_let_526 (= (tptp.add _let_368 _let_152) (tptp.add _let_367 (tptp.add _let_85 _let_152))))) (let ((_let_527 (tptp.add _let_121 _let_63))) (let ((_let_528 (tptp.add _let_172 _let_527))) (let ((_let_529 (= (tptp.add _let_343 _let_63) _let_528))) (let ((_let_530 (= (tptp.add _let_365 _let_340) (tptp.add _let_364 (tptp.add _let_65 _let_340))))) (let ((_let_531 (= (tptp.add _let_349 _let_121) (tptp.add _let_141 (tptp.add _let_348 _let_121))))) (let ((_let_532 (= (tptp.add _let_371 _let_169) (tptp.add _let_370 (tptp.add _let_85 _let_169))))) (let ((_let_533 (tptp.add _let_68 _let_172))) (let ((_let_534 (tptp.add _let_377 _let_533))) (let ((_let_535 (= (tptp.add _let_378 _let_172) _let_534))) (let ((_let_536 (= (tptp.add _let_375 _let_172) (tptp.add _let_374 _let_533)))) (let ((_let_537 (= (tptp.add (tptp.add _let_37 _let_85) _let_3) (tptp.add _let_37 _let_329)))) (let ((_let_538 (tptp.add _let_278 _let_364))) (let ((_let_539 (tptp.add _let_538 _let_65))) (let ((_let_540 (= _let_539 (tptp.add _let_278 _let_365)))) (let ((_let_541 (= (tptp.add (tptp.add _let_26 _let_85) _let_1) (tptp.add _let_26 _let_327)))) (let ((_let_542 (tptp.add _let_161 _let_364))) (let ((_let_543 (tptp.add _let_542 _let_65))) (let ((_let_544 (= _let_543 (tptp.add _let_161 _let_365)))) (let ((_let_545 (tptp.add _let_172 _let_370))) (let ((_let_546 (tptp.add _let_545 _let_85))) (let ((_let_547 (= _let_546 (tptp.add _let_172 _let_371)))) (let ((_let_548 (= (tptp.add (tptp.add _let_128 _let_274) _let_273) (tptp.add _let_128 _let_275)))) (let ((_let_549 (= _let_341 (tptp.add _let_340 _let_141)))) (let ((_let_550 (= _let_345 (tptp.add _let_159 _let_68)))) (let ((_let_551 (tptp.add tptp.b _let_68))) (let ((_let_552 (= _let_301 _let_551))) (let ((_let_553 (= (tptp.add _let_68 _let_304) (tptp.add _let_304 _let_68)))) (let ((_let_554 (= _let_238 (tptp.add _let_152 _let_37)))) (let ((_let_555 (= _let_358 _let_469))) (let ((_let_556 (= _let_233 (tptp.add _let_121 _let_37)))) (let ((_let_557 (= _let_285 (tptp.add _let_145 _let_26)))) (let ((_let_558 (tptp.add _let_94 _let_62))) (let ((_let_559 (tptp.add _let_62 _let_94))) (let ((_let_560 (= _let_559 _let_558))) (let ((_let_561 (= (tptp.add _let_117 _let_68) (tptp.add _let_68 _let_117)))) (let ((_let_562 (tptp.add _let_117 _let_99))) (let ((_let_563 (tptp.add _let_99 _let_117))) (let ((_let_564 (= _let_563 _let_562))) (let ((_let_565 (= (tptp.add _let_99 _let_169) (tptp.add _let_169 _let_99)))) (let ((_let_566 (= _let_370 (tptp.add tptp.b _let_94)))) (let ((_let_567 (= (tptp.add _let_99 _let_121) _let_243))) (let ((_let_568 (= (tptp.add _let_96 _let_145) _let_291))) (let ((_let_569 (= _let_502 (tptp.add tptp.a _let_85)))) (let ((_let_570 (tptp.add _let_117 _let_85))) (let ((_let_571 (= (tptp.add _let_85 _let_117) _let_570))) (let ((_let_572 (= _let_507 (tptp.add _let_94 _let_85)))) (let ((_let_573 (tptp.add _let_85 _let_164))) (let ((_let_574 (= _let_573 (tptp.add _let_164 _let_85)))) (let ((_let_575 (= _let_374 (tptp.add _let_172 tptp.b)))) (let ((_let_576 (= _let_338 _let_510))) (let ((_let_577 (= (tptp.add tptp.b _let_177) (tptp.add _let_177 tptp.b)))) (let ((_let_578 (tptp.add _let_121 _let_172))) (let ((_let_579 (= _let_343 _let_578))) (let ((_let_580 (tptp.add _let_345 _let_172))) (let ((_let_581 (= _let_346 _let_580))) (let ((_let_582 (= _let_199 (tptp.add _let_197 _let_198)))) (let ((_let_583 (= _let_214 (tptp.add _let_212 _let_213)))) (let ((_let_584 (= _let_220 (tptp.add _let_218 _let_219)))) (let ((_let_585 (tptp.add _let_222 _let_223))) (let ((_let_586 (= _let_224 _let_585))) (let ((_let_587 (tptp.add _let_172 _let_177))) (let ((_let_588 (= _let_377 _let_587))) (let ((_let_589 (tptp.add _let_106 _let_266))) (let ((_let_590 (= 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_let_233))))) (let ((_let_605 (tptp.multiply _let_246 _let_238))) (let ((_let_606 (tptp.multiply tptp.a _let_605))) (let ((_let_607 (= (tptp.multiply _let_247 _let_238) _let_606))) (let ((_let_608 (= (tptp.multiply _let_292 tptp.b) (tptp.multiply _let_291 _let_102)))) (let ((_let_609 (= (tptp.multiply _let_292 _let_68) (tptp.multiply _let_291 (tptp.multiply _let_37 _let_68))))) (let ((_let_610 (= (tptp.multiply (tptp.multiply _let_62 _let_68) _let_62) (tptp.multiply _let_62 _let_197)))) (let ((_let_611 (= (tptp.multiply (tptp.multiply _let_106 _let_68) _let_62) (tptp.multiply _let_106 _let_197)))) (let ((_let_612 (tptp.multiply _let_117 tptp.a))) (let ((_let_613 (= (tptp.multiply _let_612 _let_391) (tptp.multiply _let_117 _let_392)))) (let ((_let_614 (= (tptp.multiply _let_3 _let_249) (tptp.multiply tptp.a _let_250)))) (let ((_let_615 (= (tptp.multiply _let_155 _let_249) (tptp.multiply _let_68 _let_250)))) (let ((_let_616 (= (tptp.multiply _let_312 _let_62) (tptp.multiply _let_62 _let_230)))) (let ((_let_617 (tptp.multiply _let_62 _let_291))) (let ((_let_618 (= (tptp.multiply _let_617 _let_37) (tptp.multiply _let_62 _let_292)))) (let ((_let_619 (tptp.multiply _let_130 _let_249))) (let ((_let_620 (= _let_619 (tptp.multiply _let_62 _let_250)))) (let ((_let_621 (= (tptp.multiply _let_219 _let_37) (tptp.multiply _let_62 _let_406)))) (let ((_let_622 (= (tptp.multiply (tptp.multiply _let_169 _let_399) _let_68) (tptp.multiply _let_169 _let_400)))) (let ((_let_623 (tptp.multiply _let_172 tptp.a))) (let ((_let_624 (= (tptp.multiply _let_623 _let_246) (tptp.multiply _let_172 _let_247)))) (let ((_let_625 (= (tptp.multiply _let_92 _let_243) (tptp.multiply _let_85 _let_244)))) (let ((_let_626 (= (tptp.multiply _let_264 tptp.b) (tptp.multiply _let_172 _let_192)))) (let ((_let_627 (= (tptp.multiply _let_266 _let_62) (tptp.multiply _let_172 _let_197)))) (let ((_let_628 (tptp.multiply _let_169 _let_68))) (let ((_let_629 (= (tptp.multiply _let_628 _let_62) (tptp.multiply 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(tptp.multiply tptp.a _let_177))) (let ((_let_645 (= (tptp.multiply tptp.a _let_587) (tptp.add _let_453 _let_644)))) (let ((_let_646 (= (tptp.multiply _let_68 _let_587) (tptp.add _let_209 _let_198)))) (let ((_let_647 (tptp.add _let_243 _let_121))) (let ((_let_648 (= (tptp.multiply _let_62 _let_647) (tptp.add _let_636 (tptp.multiply _let_62 _let_121))))) (let ((_let_649 (tptp.multiply tptp.b _let_177))) (let ((_let_650 (= (tptp.multiply tptp.b _let_587) (tptp.add _let_600 _let_649)))) (let ((_let_651 (tptp.add _let_249 _let_62))) (let ((_let_652 (= (tptp.multiply _let_62 _let_651) (tptp.add (tptp.multiply _let_62 _let_249) _let_212)))) (let ((_let_653 (tptp.multiply _let_177 _let_266))) (let ((_let_654 (= (tptp.multiply _let_177 _let_589) (tptp.add (tptp.multiply _let_177 _let_106) _let_653)))) (let ((_let_655 (= (tptp.multiply _let_172 _let_587) (tptp.add _let_640 (tptp.multiply _let_172 _let_177))))) (let ((_let_656 (tptp.multiply _let_353 _let_527))) (let ((_let_657 (tptp.multiply _let_353 _let_172))) (let ((_let_658 (tptp.add _let_657 _let_656))) (let ((_let_659 (= (tptp.multiply _let_353 _let_528) _let_658))) (let ((_let_660 (= (tptp.multiply _let_121 _let_32) (tptp.add (tptp.multiply _let_121 tptp.additive_identity) (tptp.multiply _let_121 tptp.a))))) (let ((_let_661 (= (tptp.multiply _let_68 _let_516) (tptp.add (tptp.multiply _let_68 _let_377) (tptp.multiply _let_68 _let_126))))) (let ((_let_662 (= (tptp.multiply _let_246 _let_543) (tptp.add (tptp.multiply _let_246 _let_542) (tptp.multiply _let_246 _let_65))))) (let ((_let_663 (tptp.add _let_145 _let_152))) (let ((_let_664 (tptp.add _let_294 _let_663))) (let ((_let_665 (= (tptp.multiply _let_62 _let_664) (tptp.add (tptp.multiply _let_62 _let_294) (tptp.multiply _let_62 _let_663))))) (let ((_let_666 (= (tptp.multiply _let_130 _let_664) (tptp.add (tptp.multiply _let_130 _let_294) (tptp.multiply _let_130 _let_663))))) (let ((_let_667 (= (tptp.multiply _let_130 _let_651) (tptp.add _let_619 (tptp.multiply 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(= (tptp.add (tptp.add _let_145 _let_68) _let_358) (tptp.add _let_145 _let_593)))) (let ((_let_731 (= (tptp.add (tptp.add _let_85 _let_724) _let_209) (tptp.add _let_85 (tptp.add _let_724 _let_209))))) (let ((_let_732 (= (tptp.add (tptp.add _let_177 _let_121) _let_172) (tptp.add _let_177 _let_578)))) (let ((_let_733 (= (tptp.add _let_726 _let_121) (tptp.add _let_62 _let_647)))) (let ((_let_734 (= (tptp.add (tptp.add _let_367 _let_172) _let_527) (tptp.add _let_367 _let_528)))) (let ((_let_735 (= (tptp.add (tptp.add _let_177 _let_542) _let_65) (tptp.add _let_177 _let_543)))) (let ((_let_736 (tptp.add _let_104 _let_68))) (let ((_let_737 (= (tptp.add (tptp.add _let_736 _let_104) _let_145) (tptp.add _let_736 _let_591)))) (let ((_let_738 (= (tptp.add (tptp.add _let_573 _let_243) _let_243) (tptp.add _let_573 (tptp.add _let_243 _let_243))))) (let ((_let_739 (= (tptp.add _let_507 _let_62) (tptp.add _let_85 _let_558)))) (let ((_let_740 (= (tptp.add (tptp.add _let_542 _let_246) _let_121) (tptp.add 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(_let_812))) (let ((_let_815 ((not (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity))))) (let ((_let_816 (_let_12))) (let ((_let_817 (ASSUME :args _let_816))) (let ((_let_818 ((tptp.add (tptp.additive_inverse X) (tptp.additive_inverse Y))))) (let ((_let_819 (_let_11))) (let ((_let_820 (ASSUME :args _let_819))) (let ((_let_821 ((tptp.multiply X (tptp.additive_inverse Y))))) (let ((_let_822 (_let_10))) (let ((_let_823 (ASSUME :args _let_822))) (let ((_let_824 ((tptp.multiply (tptp.additive_inverse X) Y)))) (let ((_let_825 ((tptp.add X Y)))) (let ((_let_826 (_let_7))) (let ((_let_827 (ASSUME :args _let_826))) (let ((_let_828 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_829 (forall ((X $$unsorted)) (= X (tptp.multiply X X))))) (let ((_let_830 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_831 (_let_829))) (let ((_let_832 ((tptp.multiply X X)))) (let ((_let_833 ((tptp.add (tptp.multiply X Y) 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(let ((_let_1556 (TRANS _let_1489 (CONG _let_937 _let_1137 :args _let_850) (SYMM _let_1555) (CONG (TRANS _let_1554 _let_1138) :args _let_872)))) (let ((_let_1557 (CONG _let_862 _let_1556 :args _let_841))) (let ((_let_1558 (TRANS _let_1557 _let_1553 _let_1551 _let_1549))) (let ((_let_1559 (CONG _let_844 _let_1558 :args _let_841))) (let ((_let_1560 (ASSUME :args (_let_251)))) (let ((_let_1561 (TRANS (TRANS (SYMM (SYMM _let_1560)) (CONG _let_874 _let_1378 :args _let_850) _let_919 _let_913) _let_1471))) (let ((_let_1562 (ASSUME :args (_let_442)))) (let ((_let_1563 (TRANS (SYMM (SYMM _let_1562)) (CONG _let_1561 (TRANS _let_852 _let_928 _let_938) :args _let_850) _let_936 _let_934 _let_919 _let_913))) (let ((_let_1564 (TRANS _let_1563 _let_1471))) (let ((_let_1565 (SYMM _let_1559))) (let ((_let_1566 (SYMM _let_1547))) (let ((_let_1567 (TRANS _let_1557 _let_1553 _let_1551 _let_1549 _let_1566 _let_1548 _let_1565))) (let ((_let_1568 (ASSUME :args (_let_413)))) (let ((_let_1569 (CONG _let_1245 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_let_1585) _let_923 :args _let_850) (SYMM _let_1583) (CONG _let_933 :args _let_872) _let_868 _let_870 _let_1582 _let_879 _let_924) _let_925))) (let ((_let_1589 (ASSUME :args (_let_677)))) (let ((_let_1590 (REFL :args (_let_676)))) (let ((_let_1591 (SYMM _let_1543))) (let ((_let_1592 (ASSUME :args (_let_680)))) (let ((_let_1593 (TRANS (SYMM _let_1592) (CONG _let_1591 _let_1581 :args _let_841)))) (let ((_let_1594 (CONG _let_1546 _let_1579 :args _let_841))) (let ((_let_1595 (ASSUME :args (_let_655)))) (let ((_let_1596 (SYMM _let_1450))) (let ((_let_1597 (SYMM _let_1446))) (let ((_let_1598 (SYMM _let_1431))) (let ((_let_1599 (TRANS _let_1598 (SYMM _let_1429) _let_1430 (SYMM _let_1443) _let_1597 _let_1448 _let_1596 _let_1452))) (let ((_let_1600 (CONG _let_1084 _let_1599 :args _let_850))) (let ((_let_1601 (REFL :args (_let_65)))) (let ((_let_1602 (CONG _let_1601 _let_1431 :args _let_850))) (let ((_let_1603 (ASSUME :args (_let_387)))) (let ((_let_1604 (SYMM _let_1603))) (let ((_let_1605 (SYMM 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(TRANS _let_1622 _let_1618 _let_1616 (SYMM _let_1222)) :args _let_872))) (let ((_let_1624 (ASSUME :args (_let_499)))) (let ((_let_1625 (SYMM _let_1624))) (let ((_let_1626 (SYMM _let_1056))) (let ((_let_1627 (SYMM _let_1209))) (let ((_let_1628 (SYMM _let_1190))) (let ((_let_1629 (REFL :args (_let_106)))) (let ((_let_1630 (CONG (TRANS (CONG _let_1629 _let_1233 :args _let_841) (CONG _let_1232 _let_1232 :args _let_841) _let_1232) _let_1162 :args _let_841))) (let ((_let_1631 (ASSUME :args (_let_611)))) (let ((_let_1632 (SYMM _let_1631))) (let ((_let_1633 (CONG _let_1629 _let_1210 :args _let_841))) (let ((_let_1634 (CONG _let_1629 _let_1612 :args _let_841))) (let ((_let_1635 (ASSUME :args (_let_320)))) (let ((_let_1636 (TRANS (SYMM _let_1635) _let_1634 _let_1633 _let_1632 _let_1630 _let_1628 _let_1192 _let_1627 _let_1056))) (let ((_let_1637 (TRANS (CONG _let_1233 _let_1615 :args _let_841) (SYMM _let_1634) _let_1635))) (let ((_let_1638 (CONG (TRANS _let_1637 _let_1636 _let_1626) (TRANS (SYMM 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((_let_1684 (REFL :args (_let_291)))) (let ((_let_1685 (CONG _let_1684 (TRANS (SYMM _let_967) (SYMM _let_961) _let_962 (SYMM _let_970) (CONG _let_966 _let_976 :args _let_841)) :args _let_841))) (let ((_let_1686 (ASSUME :args (_let_608)))) (let ((_let_1687 (SYMM _let_1686))) (let ((_let_1688 (SYMM _let_1687))) (let ((_let_1689 (CONG (SYMM _let_1407) _let_844 :args _let_841))) (let ((_let_1690 (TRANS _let_1689 _let_1688 _let_1685 _let_1683 _let_1681))) (let ((_let_1691 (SYMM _let_1689))) (let ((_let_1692 (ASSUME :args (_let_379)))) (let ((_let_1693 (TRANS (SYMM (SYMM _let_1692)) (CONG _let_1470 _let_986 :args _let_850) _let_932 _let_930 _let_927 _let_925))) (let ((_let_1694 (ASSUME :args (_let_517)))) (let ((_let_1695 (TRANS (TRANS (SYMM _let_1694) (CONG _let_1693 _let_1219 :args _let_850) _let_1039 _let_1038 _let_1036 _let_1034 _let_1033 _let_1327 _let_1326 _let_1126 _let_1325 _let_1151 _let_1324) _let_1423))) (let ((_let_1696 (CONG _let_1695 _let_968 :args _let_841))) (let ((_let_1697 (ASSUME :args (_let_686)))) (let ((_let_1698 (SYMM _let_1697))) (let ((_let_1699 (SYMM _let_1286))) (let ((_let_1700 (SYMM _let_1274))) (let ((_let_1701 (SYMM _let_1270))) (let ((_let_1702 (SYMM _let_1262))) (let ((_let_1703 (CONG _let_852 _let_976 :args _let_841))) (let ((_let_1704 (CONG _let_1579 _let_976 :args _let_841))) (let ((_let_1705 (ASSUME :args (_let_687)))) (let ((_let_1706 (SYMM _let_1705))) (let ((_let_1707 (CONG _let_918 _let_1615 :args _let_841))) (let ((_let_1708 (CONG (TRANS (TRANS _let_1222 (SYMM _let_1707)) (TRANS _let_1707 _let_1211 _let_1189 _let_1187 _let_1181 _let_1178 _let_1166 _let_911) _let_914) _let_862 :args _let_850))) (let ((_let_1709 (TRANS _let_1708 _let_1475 _let_1473 _let_912 _let_1571))) (let ((_let_1710 (CONG _let_1709 _let_976 :args _let_841))) (let ((_let_1711 (ASSUME :args (_let_466)))) (let ((_let_1712 (SYMM _let_1711))) (let ((_let_1713 (REFL :args (_let_205)))) (let ((_let_1714 (CONG _let_957 (SYMM _let_1295) :args _let_841))) (let ((_let_1715 (CONG _let_880 _let_1295 :args _let_841))) (let ((_let_1716 (CONG (TRANS (TRANS _let_1715 _let_1714 _let_958 _let_955 _let_953) _let_1240) _let_1713 :args _let_850))) (let ((_let_1717 (ASSUME :args (_let_255)))) (let ((_let_1718 (SYMM (SYMM _let_1717)))) (let ((_let_1719 (CONG _let_854 _let_976 :args _let_841))) (let ((_let_1720 (CONG _let_1527 _let_976 :args _let_841))) (let ((_let_1721 (CONG _let_1720 (TRANS _let_1703 _let_1719 _let_1718 _let_1716 _let_1712 _let_1710) :args _let_850))) (let ((_let_1722 (ASSUME :args (_let_459)))) (let ((_let_1723 (SYMM _let_1722))) (let ((_let_1724 (SYMM _let_1723))) (let ((_let_1725 (TRANS _let_1489 _let_1542 _let_1540 (CONG _let_1537 (TRANS _let_1536 _let_980 _let_853) :args _let_850)))) (let ((_let_1726 (CONG _let_1725 _let_976 :args _let_841))) (let ((_let_1727 (TRANS _let_1663 _let_1662 _let_1197 _let_1661 _let_1660 _let_1202 _let_1659 _let_997 _let_995 _let_993 _let_959))) (let ((_let_1728 (CONG _let_1546 _let_1727 :args _let_841))) (let ((_let_1729 (SYMM _let_1728))) (let ((_let_1730 (CONG (TRANS (TRANS _let_1720 _let_1729) (TRANS _let_1728 _let_1726 _let_1724 _let_1721 _let_1706 _let_1704)) (TRANS _let_1703 _let_1269 _let_1267 _let_940 _let_979 _let_1702 _let_1263 _let_1701 _let_1272 _let_1700 (CONG _let_1699 _let_976 :args _let_841)) :args _let_850))) (let ((_let_1731 (SYMM _let_1721))) (let ((_let_1732 (SYMM _let_1704))) (let ((_let_1733 (TRANS _let_1732 _let_1705 _let_1731 _let_1730 _let_1698 _let_1696 _let_1687 _let_1691))) (let ((_let_1734 (TRANS _let_1726 _let_1724 _let_1721 _let_1706 _let_1704))) (let ((_let_1735 (CONG (TRANS _let_1734 _let_1733 _let_1690) _let_1680 :args _let_841))) (let ((_let_1736 (TRANS _let_1165 _let_1303 _let_1180 _let_1302 (SYMM _let_1679)))) (let ((_let_1737 (REFL :args (_let_266)))) (let ((_let_1738 (CONG _let_1737 _let_1736 :args _let_841))) (let ((_let_1739 (ASSUME :args (_let_627)))) (let ((_let_1740 (SYMM _let_1739))) (let ((_let_1741 (CONG _let_1546 _let_1210 :args _let_841))) (let ((_let_1742 (SYMM _let_1725))) (let ((_let_1743 (CONG _let_1742 _let_1615 :args _let_841))) (let ((_let_1744 (ASSUME :args (_let_460)))) (let ((_let_1745 (SYMM _let_1744))) (let ((_let_1746 (ASSUME :args (_let_258)))) (let ((_let_1747 (ASSUME :args (_let_467)))) (let ((_let_1748 (TRANS (SYMM _let_1709) _let_1708))) (let ((_let_1749 (CONG (CONG _let_1537 _let_1615 :args _let_841) (TRANS (CONG _let_1748 _let_1615 :args _let_841) (SYMM (SYMM _let_1747)) (CONG (SYMM _let_1641) _let_1639 :args _let_850) (SYMM _let_1746) (CONG _let_855 _let_1615 :args _let_841) (CONG _let_853 _let_1615 :args _let_841)) :args _let_850))) (let ((_let_1750 (ASSUME :args (_let_689)))) (let ((_let_1751 (SYMM _let_1750))) (let ((_let_1752 (SYMM _let_1751))) (let ((_let_1753 (CONG _let_1580 _let_1615 :args _let_841))) (let ((_let_1754 (CONG _let_1581 _let_1221 :args _let_841))) (let ((_let_1755 (SYMM _let_1014))) (let ((_let_1756 (SYMM _let_1008))) (let ((_let_1757 (SYMM _let_1002))) (let ((_let_1758 (TRANS _let_956 _let_1111 _let_994 _let_1208 _let_1757 _let_1003 _let_1756 _let_1755 (SYMM _let_1600) (SYMM _let_1602) _let_1604 _let_1068 _let_1066 _let_1281))) (let ((_let_1759 (CONG _let_1581 _let_1758 :args _let_841))) (let ((_let_1760 (SYMM _let_1730))) (let ((_let_1761 (SYMM _let_1696))) (let ((_let_1762 (TRANS _let_1689 _let_1688 _let_1761 _let_1697 _let_1760 _let_1721 _let_1706 _let_1704 _let_1759 _let_1754 _let_1753 _let_1752 _let_1749 _let_1745 _let_1743 _let_1741 _let_1740 _let_1738 _let_1735 _let_1652 _let_1651 _let_1648 _let_1647 _let_1646 _let_1643 _let_1638 _let_1610 _let_1608 _let_1607 _let_1138))) (let ((_let_1763 (ASSUME :args (_let_757)))) (let ((_let_1764 (CONG _let_976 _let_1561 :args _let_841))) (let ((_let_1765 (ASSUME :args (_let_615)))) (let ((_let_1766 (SYMM _let_1765))) (let ((_let_1767 (SYMM _let_1766))) (let ((_let_1768 (SYMM _let_1422))) (let ((_let_1769 (SYMM _let_1414))) (let ((_let_1770 (TRANS _let_1769 _let_1415 _let_1768 _let_1127 _let_1124 _let_1123 _let_1121 _let_1120 _let_1035 _let_1119 _let_1118))) (let ((_let_1771 (SYMM _let_1727))) (let ((_let_1772 (CONG _let_1771 _let_1770 :args _let_841))) (let ((_let_1773 (CONG _let_976 _let_1695 :args _let_841))) (let ((_let_1774 (ASSUME :args (_let_661)))) (let ((_let_1775 (SYMM _let_1774))) (let ((_let_1776 (CONG _let_1232 _let_1581 :args _let_841))) (let ((_let_1777 (ASSUME :args (_let_646)))) (let ((_let_1778 (SYMM _let_1748))) (let ((_let_1779 (CONG _let_976 _let_1778 :args _let_841))) (let ((_let_1780 (ASSUME :args (_let_439)))) (let ((_let_1781 (SYMM _let_1780))) (let ((_let_1782 (CONG _let_1232 _let_862 :args _let_841))) (let ((_let_1783 (CONG _let_1279 (TRANS _let_956 _let_1111 _let_994 _let_1208 _let_1207 _let_1203 _let_1201 _let_1199 _let_1198 _let_1196 _let_1667 _let_1674 _let_1666 _let_1673 _let_1670 _let_1782) :args _let_850))) (let ((_let_1784 (ASSUME :args (_let_561)))) (let ((_let_1785 (SYMM _let_1054))) (let ((_let_1786 (SYMM _let_1296))) (let ((_let_1787 (CONG _let_910 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(CONG (TRANS _let_1121 (SYMM _let_2327)) _let_1245 :args _let_841) (CONG (TRANS _let_2327 _let_2355 _let_1423) _let_1245 :args _let_841) _let_2354 _let_2353 _let_2351 _let_1872 _let_2350 _let_929))) (let ((_let_2357 (ASSUME :args (_let_592)))) (let ((_let_2358 (SYMM _let_2357))) (let ((_let_2359 (ASSUME :args (_let_380)))) (let ((_let_2360 (CONG _let_1233 _let_1221 :args _let_841))) (let ((_let_2361 (ASSUME :args (_let_390)))) (let ((_let_2362 (TRANS _let_2360 _let_1633 _let_1632 _let_1630 _let_1628 _let_1192 _let_1627))) (let ((_let_2363 (ASSUME :args (_let_692)))) (let ((_let_2364 (ASSUME :args (_let_564)))) (let ((_let_2365 (CONG (REFL :args (_let_563)) (TRANS _let_1847 _let_1209 _let_1193 _let_1190 _let_1860 _let_1631 _let_1859 (SYMM _let_2360)) :args _let_841))) (let ((_let_2366 (CONG (TRANS (SYMM _let_2365) (TRANS _let_2365 (CONG (SYMM (SYMM _let_2364)) (REFL :args (_let_399)) :args _let_841) (SYMM (SYMM _let_2363)) (CONG (TRANS (TRANS (CONG _let_2045 _let_2362 :args _let_841) (SYMM _let_2361) (CONG _let_2346 _let_895 :args _let_841) _let_1056) _let_2021) (TRANS (CONG _let_1144 (TRANS _let_2360 _let_1633 _let_1632 _let_1630 _let_1628 _let_1192 _let_1627 _let_1281) :args _let_841) _let_1280 _let_1278 _let_1276 _let_1258 _let_1256 _let_1253 _let_1252 _let_1250 _let_1248 _let_1243) :args _let_850) (CONG _let_2045 (TRANS _let_1101 _let_1440 _let_1439) :args _let_850) (SYMM _let_2359) _let_1939 _let_1937 _let_1056) _let_1626) _let_1875 :args _let_850))) (let ((_let_2367 (SYMM _let_1798))) (let ((_let_2368 (CONG _let_1875 (TRANS _let_1796 _let_2367 _let_1628 _let_1192 _let_1627) :args _let_850))) (let ((_let_2369 (CONG _let_1748 _let_2041 :args _let_850))) (let ((_let_2370 (CONG _let_1778 (TRANS _let_1855 _let_1857 (SYMM _let_1858) _let_1633 _let_1632 _let_1630 _let_1628 _let_1192 _let_1627 _let_1281) :args _let_850))) (let ((_let_2371 (ASSUME :args (_let_729)))) (let ((_let_2372 (SYMM _let_2371))) (let ((_let_2373 (SYMM _let_2372))) (let ((_let_2374 (CONG 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(let ((_let_2391 (CONG _let_886 _let_1471 :args _let_841))) (let ((_let_2392 (CONG _let_976 _let_1471 :args _let_841))) (let ((_let_2393 (CONG (TRANS _let_956 (TRANS _let_1111 _let_994 _let_1208 _let_1207 _let_1203 _let_1201 _let_1199 _let_1198 _let_1196 (SYMM _let_2018) _let_2019 (CONG (REFL :args (_let_198)) (TRANS _let_1798 _let_1797) :args _let_850) (CONG (TRANS (SYMM _let_2392) (TRANS _let_2392 _let_2236 _let_1766 (SYMM _let_2386) (SYMM _let_2387) _let_2388 (SYMM _let_2390)) (SYMM _let_2391) (TRANS _let_2391 _let_2390 _let_2389 _let_2387 _let_2386 _let_1767 _let_1764 _let_2039 _let_1780 _let_2038 _let_2037 _let_2024 _let_2036 _let_2031 _let_2035) (TRANS _let_2033 _let_2032 _let_2029 _let_2025 _let_2023 (SYMM _let_2374))) (TRANS _let_1796 _let_2367 _let_1860 _let_1631 _let_1859) :args _let_850) (CONG _let_2381 (TRANS _let_1633 _let_1632 _let_1630 _let_1628 _let_1192 _let_1627) :args _let_850))) _let_2225 :args _let_850))) (let ((_let_2394 (ASSUME :args (_let_553)))) (let 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(let ((_let_2449 (TRANS (SYMM (SYMM _let_2448)) (CONG _let_1546 _let_874 :args _let_841) _let_2447 _let_2446 _let_2444 _let_2126 _let_2065 _let_2125 _let_2076 _let_2124))) (let ((_let_2450 (ASSUME :args (_let_773)))) (let ((_let_2451 (ASSUME :args (_let_526)))) (let ((_let_2452 (ASSUME :args (_let_503)))) (let ((_let_2453 (TRANS _let_1352 _let_1513))) (let ((_let_2454 (ASSUME :args (_let_738)))) (let ((_let_2455 (SYMM _let_2453))) (let ((_let_2456 (ASSUME :args (_let_509)))) (let ((_let_2457 (TRANS _let_1982 _let_1981 _let_1979 _let_917 _let_915))) (let ((_let_2458 (CONG (REFL :args (_let_663)) (SYMM _let_1770) :args _let_850))) (let ((_let_2459 (TRANS _let_2458 (CONG (TRANS _let_2457 (TRANS _let_1374 _let_846 _let_848 _let_1373 _let_1372 (CONG _let_1964 _let_886 :args _let_850) (SYMM (SYMM _let_2456)) (CONG _let_2455 _let_1332 :args _let_850))) (SYMM _let_1423) :args _let_850) (SYMM (SYMM _let_2454)) (CONG _let_2453 (TRANS (CONG _let_1159 _let_1158 :args _let_850) (SYMM _let_2452) (CONG _let_1021 _let_886 :args _let_850) _let_1864 _let_1863 _let_1090 _let_1862 _let_1100 _let_1880 (CONG _let_862 _let_880 :args _let_850)) :args _let_850) (SYMM _let_2451) (CONG (TRANS _let_1965 _let_1355) _let_879 :args _let_850) _let_1354 _let_1353))) (let ((_let_2460 (CONG (SYMM _let_2457) _let_1423 :args _let_850))) (let ((_let_2461 (TRANS _let_2460 (SYMM _let_2458)))) (let ((_let_2462 (TRANS (CONG _let_1989 _let_1423 :args _let_850) (SYMM _let_2460)))) (let ((_let_2463 (ASSUME :args (_let_727)))) (let ((_let_2464 (ASSUME :args (_let_425)))) (let ((_let_2465 (ASSUME :args (_let_430)))) (let ((_let_2466 (ASSUME :args (_let_749)))) (let ((_let_2467 (ASSUME :args (_let_768)))) (let ((_let_2468 (ASSUME :args (_let_697)))) (let ((_let_2469 (CONG _let_1910 (REFL :args (_let_159)) :args _let_850))) (let ((_let_2470 (ASSUME :args (_let_347)))) (let ((_let_2471 (ASSUME :args (_let_581)))) (let ((_let_2472 (TRANS (TRANS (SYMM _let_2471) (SYMM _let_2470) _let_2469 _let_1419 (SYMM 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(SYMM _let_2355))) (let ((_let_2506 (ASSUME :args (_let_723)))) (let ((_let_2507 (TRANS _let_1016 _let_2193))) (let ((_let_2508 (ASSUME :args (_let_560)))) (let ((_let_2509 (SYMM _let_2508))) (let ((_let_2510 (CONG _let_1162 (SYMM _let_2507) :args _let_850))) (let ((_let_2511 (ASSUME :args (_let_733)))) (let ((_let_2512 (SYMM _let_2511))) (let ((_let_2513 (CONG (TRANS _let_2455 (SYMM _let_2459) (SYMM _let_2461) (SYMM _let_2462)) _let_1479 :args _let_850))) (let ((_let_2514 (CONG _let_1144 _let_1664 :args _let_841))) (let ((_let_2515 (ASSUME :args (_let_317)))) (let ((_let_2516 (SYMM _let_2515))) (let ((_let_2517 (ASSUME :args (_let_530)))) (let ((_let_2518 (ASSUME :args (_let_314)))) (let ((_let_2519 (CONG (TRANS _let_1612 _let_1056) (TRANS (CONG _let_1431 :args _let_872) (SYMM _let_2518)) :args _let_850))) (let ((_let_2520 (ASSUME :args (_let_484)))) (let ((_let_2521 (SYMM _let_2520))) (let ((_let_2522 (CONG (CONG _let_2021 _let_1444 :args _let_850) :args _let_872))) (let ((_let_2523 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_let_2271 _let_2338 _let_2335 _let_2395 _let_2393 _let_2385 _let_2382 _let_2380 _let_2377 _let_2373 _let_2370 _let_2369 _let_2368) :args _let_850)) :args _let_841) (SYMM (SYMM _let_2504)) (CONG (TRANS (CONG _let_1546 _let_2355 :args _let_841) (SYMM _let_2503) (TRANS _let_2503 (CONG (TRANS _let_2089 (SYMM _let_2501) (SYMM _let_2502)) _let_1304 :args _let_841) (CONG (TRANS _let_2502 _let_2501 _let_2088 _let_2087) _let_1330 :args _let_841) (SYMM (SYMM _let_2499)) (CONG (TRANS _let_779 (TRANS _let_998 _let_1040 _let_1535 _let_1043 _let_1534 _let_1861 _let_1853 _let_1851 _let_1845 _let_1820 _let_1818 _let_1809 _let_1808 _let_1807 _let_1806 _let_1803 _let_1775 _let_1773 _let_1772 _let_1767 _let_1764 _let_2039 _let_1780 _let_2038 _let_2037 _let_2024 _let_2036 _let_2031 _let_2035 (SYMM _let_2028)) _let_2028 (TRANS _let_2033 _let_2032 _let_2029 _let_2025 _let_2023 _let_1783 _let_1781 _let_1779 _let_2236 _let_1766 _let_2235 (CONG _let_1233 _let_1770 :args _let_841))) (REFL :args (_let_690)) 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_let_2420)) (CONG _let_1470 (SYMM _let_1919) :args _let_850) (SYMM _let_2419) (CONG _let_933 _let_844 :args _let_850) (CONG _let_844 (TRANS _let_880 _let_877 _let_871 _let_869 _let_861 _let_867 _let_864 (SYMM (SYMM _let_2418))) :args _let_850) (SYMM _let_2417) (CONG _let_865 _let_844 :args _let_850) _let_1881) :args _let_841) _let_2354 _let_2353 _let_2351 _let_1872 _let_2350 _let_929) :args _let_850) (CONG _let_2400 (TRANS _let_928 (CONG (TRANS _let_1377 (TRANS _let_914 _let_1165 _let_1303 _let_1180 _let_1302 _let_1188 _let_1301 _let_2164 _let_1926 _let_1928 _let_2163 _let_2162 _let_2161 _let_2012 _let_1996 _let_1994 _let_1239 _let_954 _let_1238 _let_2060 _let_2059 _let_2058 _let_2057 _let_2309 _let_2306 (CONG _let_1164 (SYMM _let_2165) :args _let_841) (CONG _let_2304 _let_1162 :args _let_841))) (TRANS _let_911 _let_1374 _let_846 _let_1978 (CONG (TRANS _let_1397 (TRANS _let_998 _let_1242 _let_1436 _let_2218 _let_1251 _let_2217 _let_1255 _let_2216 (SYMM _let_1276) _let_1277 (SYMM _let_1280))) (TRANS _let_847 _let_845 _let_914 _let_1165 _let_1303 _let_1180 _let_1302 _let_1188 _let_1301 (SYMM _let_1613) _let_1614 (SYMM _let_1623) _let_1625 (CONG _let_862 _let_1281 :args _let_841)) :args _let_850) (SYMM _let_2416) (CONG (TRANS (TRANS (CONG _let_1030 _let_862 :args _let_850) _let_2401) _let_2144) _let_1221 :args _let_841) (CONG _let_2405 _let_1281 :args _let_841) (CONG _let_2404 (SYMM _let_1758) :args _let_841) (CONG _let_2304 _let_976 :args _let_841)) :args _let_850) (SYMM _let_2415) (CONG _let_2144 (TRANS _let_1554 _let_2414 _let_2413 _let_1609 _let_2412 _let_2411 _let_1645 _let_2410 _let_2409 _let_1650 _let_2408 _let_2407 _let_2086 _let_1739 _let_2085 _let_2084 _let_1744 _let_2083 _let_1751 _let_2082 _let_2081 _let_2080 _let_1732 _let_1705 _let_1731 _let_1723 _let_2406) :args _let_841) (CONG _let_2405 _let_2148 :args _let_841) (CONG _let_2404 _let_1546 :args _let_841) (SYMM _let_2398) _let_2399) :args _let_850) (CONG _let_2400 (TRANS (SYMM _let_2399) _let_2398) :args _let_850) (SYMM _let_2397) (CONG _let_1161 _let_1546 :args _let_841) _let_2033 _let_2032 _let_2029 _let_2025 _let_2023 _let_1783 _let_1781 _let_1779 _let_2236 _let_1766 _let_2235 _let_2234 _let_1774 _let_2233 _let_1805 _let_2232 _let_2231 _let_2230 _let_2229 _let_1819 _let_2228 _let_2227 _let_1852 _let_2226 _let_1058 _let_1044 _let_1042 _let_1041))) (let ((_let_2539 (ASSUME :args (_let_771)))) (let ((_let_2540 (ASSUME :args (_let_659)))) (let ((_let_2541 (SYMM (SYMM _let_2540)))) (let ((_let_2542 (SYMM _let_1588))) (let ((_let_2543 (CONG _let_1159 _let_2542 :args _let_841))) (let ((_let_2544 (SYMM _let_2325))) (let ((_let_2545 (SYMM _let_2322))) (let ((_let_2546 (SYMM _let_2249))) (let ((_let_2547 (ASSUME :args (_let_775)))) (let ((_let_2548 (CONG _let_2147 _let_1479 :args _let_841))) (let ((_let_2549 (ASSUME :args (_let_253)))) (let ((_let_2550 (ASSUME :args (_let_456)))) (let ((_let_2551 (ASSUME :args (_let_263)))) (let ((_let_2552 (ASSUME :args (_let_458)))) (let ((_let_2553 (ASSUME :args (_let_685)))) (let ((_let_2554 (ASSUME :args (_let_770)))) (let ((_let_2555 (ASSUME :args (_let_778)))) (let ((_let_2556 (CONG _let_1470 _let_1591 :args _let_850))) (let ((_let_2557 (ASSUME :args (_let_735)))) (let ((_let_2558 (SYMM _let_2557))) (let ((_let_2559 (SYMM _let_1528))) (let ((_let_2560 (ASSUME :args (_let_728)))) (let ((_let_2561 (ASSUME :args (_let_596)))) (let ((_let_2562 (ASSUME :args (_let_363)))) (let ((_let_2563 (CONG (TRANS _let_1032 (TRANS _let_1024 _let_2401 _let_1028 _let_2143 (CONG _let_957 (TRANS (CONG _let_1005 (TRANS _let_909 _let_893 _let_908 _let_907 _let_904 _let_902 _let_899 _let_889 _let_887 _let_883 _let_842 _let_890 _let_1140 _let_1130) :args _let_850) (SYMM _let_2562) (SYMM (SYMM _let_2561))) :args _let_850) (SYMM _let_2560) (CONG (CONG _let_879 _let_937 :args _let_850) (TRANS _let_2479 _let_2481 _let_2487 _let_2486 _let_2485 _let_2483 _let_2476 _let_2475 _let_2473 _let_1526 _let_2559) :args _let_850))) _let_2427 :args _let_850))) (let ((_let_2564 (ASSUME :args (_let_479)))) (let ((_let_2565 (ASSUME :args (_let_481)))) (let ((_let_2566 (ASSUME :args (_let_730)))) (let ((_let_2567 (CONG _let_2224 _let_1232 :args _let_850))) (let ((_let_2568 (TRANS _let_2343 _let_2278 _let_2271 _let_2260 _let_2258))) (let ((_let_2569 (ASSUME :args (_let_776)))) (let ((_let_2570 (ASSUME :args (_let_746)))) (let ((_let_2571 (ASSUME :args (_let_739)))) (let ((_let_2572 (ASSUME :args (_let_514)))) (let ((_let_2573 (CONG _let_1629 _let_1050 :args _let_841))) (let ((_let_2574 (ASSUME :args (_let_412)))) (let ((_let_2575 (SYMM _let_2574))) (let ((_let_2576 (CONG (TRANS (TRANS _let_1811 _let_1810 _let_1232) _let_1233) (TRANS (SYMM _let_2575) _let_2573 _let_1633 _let_1632 _let_1630 _let_1628 _let_1192 _let_1627) :args _let_841))) (let ((_let_2577 (CONG (REFL :args (_let_518)) (TRANS (SYMM _let_2573) _let_2575) :args _let_841))) (let ((_let_2578 (ASSUME :args (_let_714)))) (let ((_let_2579 (CONG _let_2144 (TRANS (CONG _let_1543 (TRANS _let_2360 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_let_2568 (TRANS (SYMM _let_2510) _let_2512 (SYMM _let_2513) (SYMM _let_2529) (SYMM _let_2530) _let_2532 (SYMM _let_2535) _let_2486 _let_2485 _let_2483 _let_2476 _let_2475 _let_2473 _let_1526 _let_2559) :args _let_850) (CONG (TRANS (TRANS _let_2339 _let_2259 _let_2338 _let_2335 (SYMM _let_2567)) (TRANS _let_2567 _let_2395)) _let_2434 :args _let_850) (CONG (TRANS _let_2394 (CONG _let_2225 _let_976 :args _let_850)) _let_1529 :args _let_850) (SYMM (SYMM _let_2566)) (CONG _let_1778 _let_1523 :args _let_850) (CONG _let_1748 _let_1964 :args _let_850) (CONG _let_1875 _let_1965 :args _let_850) _let_1769 _let_1415 _let_1768) _let_1122 :args _let_850) (CONG (TRANS (CONG _let_862 _let_969 :args _let_850) (SYMM _let_2565) (CONG _let_2328 :args _let_872)) _let_880 :args _let_850) (SYMM _let_2564) (CONG _let_1021 :args _let_872) _let_909 _let_893 _let_908) :args _let_850))) (let ((_let_2582 (ASSUME :args (_let_777)))) (let ((_let_2583 (SYMM _let_2582))) (let ((_let_2584 (ASSUME :args (_let_537)))) (let ((_let_2585 (ASSUME :args (_let_720)))) (let ((_let_2586 (ASSUME :args (_let_734)))) (let ((_let_2587 (CONG (TRANS _let_2078 (TRANS _let_1376 _let_1370 _let_1368 _let_1366 (CONG _let_2320 _let_1474 :args _let_850) (CONG _let_2320 _let_1472 :args _let_850) (CONG _let_2320 _let_2542 :args _let_850) (SYMM _let_2586) (CONG (TRANS (TRANS (CONG _let_2318 (TRANS _let_1489 (CONG _let_1989 _let_1005 :args _let_850)) :args _let_850) (SYMM _let_2585) (CONG (TRANS (TRANS _let_1983 _let_1968 _let_1966 _let_1963 _let_1769 _let_1415 _let_1768) (SYMM _let_1333) (TRANS _let_1326 (CONG _let_966 _let_862 :args _let_850))) _let_1005 :args _let_850) (SYMM (SYMM _let_2584)) (CONG _let_903 _let_2177 :args _let_850) _let_2428 (SYMM _let_2430) _let_2431 (SYMM _let_2433)) (SYMM _let_1032)) _let_2568 :args _let_850) (CONG _let_2304 (SYMM (TRANS _let_2376 _let_2375 (SYMM _let_2370) _let_2372 (SYMM _let_2377) _let_2379 (SYMM _let_2382) _let_2384 (SYMM _let_2393) _let_2394 (SYMM _let_2335) _let_2337 _let_2260 _let_2258)) :args _let_850))) (REFL :args (_let_742)) :args _let_850))) (let ((_let_2588 (ASSUME :args (_let_330)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_840)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_842 _let_846 _let_848 _let_851 _let_854 _let_859 _let_882 _let_884 _let_888 _let_890 _let_893 _let_779 _let_900 _let_905 _let_861 _let_864 _let_868 _let_870 _let_873 _let_875 _let_878 _let_912 _let_916 _let_922 _let_924 _let_926 _let_928 _let_931 _let_935 _let_1560 _let_1562 _let_939 _let_942 _let_946 _let_950 _let_954 _let_1081 _let_962 _let_973 _let_994 _let_1000 _let_1003 _let_1007 _let_1011 _let_1020 _let_1023 _let_1035 _let_1040 _let_979 _let_1043 _let_1051 _let_1047 _let_1060 _let_1063 _let_1067 _let_1071 _let_1076 _let_1089 _let_1091 _let_1092 _let_1095 _let_1099 _let_1106 _let_1107 _let_1108 _let_1125 _let_1129 _let_1349 _let_983 _let_1134 _let_1139 _let_1146 _let_1150 _let_1154 _let_1024 _let_1028 _let_1163 _let_1306 _let_1308 _let_1309 _let_1293 _let_1287 _let_1313 _let_1314 _let_1317 _let_1165 _let_1168 _let_1172 _let_1174 _let_1179 _let_1182 _let_1183 _let_1188 _let_1191 _let_1197 _let_1202 _let_1204 _let_1213 _let_1218 _let_1225 _let_1226 _let_1228 _let_1231 _let_1242 _let_1251 _let_1254 _let_1259 _let_1263 _let_1266 _let_1268 _let_1271 _let_1277 _let_1284 _let_1285 _let_1291 _let_1329 _let_1335 _let_1337 _let_1340 _let_1344 _let_1352 _let_988 _let_990 _let_1362 _let_1365 _let_1369 _let_1371 _let_1384 _let_1388 _let_1401 _let_1393 _let_1405 _let_1409 _let_1415 _let_1418 _let_1426 _let_1430 _let_1435 _let_1437 _let_1438 _let_1447 _let_1451 _let_1455 _let_1459 _let_1460 _let_1465 _let_1468 _let_1477 _let_1481 _let_1485 _let_1487 _let_1492 _let_1498 _let_1501 _let_1499 _let_1511 _let_1516 _let_1518 _let_1521 _let_1522 _let_1524 _let_1526 _let_1530 _let_1532 _let_1539 _let_1548 _let_1550 _let_1552 _let_1555 _let_1568 _let_1570 _let_1573 _let_1577 _let_1578 _let_1583 _let_1587 _let_1589 _let_1592 _let_1595 _let_1603 _let_1609 _let_1631 _let_1611 _let_1635 _let_1614 _let_1617 _let_1619 _let_1624 _let_1640 _let_1642 _let_1644 _let_1649 _let_1682 _let_1686 _let_1692 _let_1694 _let_1697 _let_1705 _let_1711 _let_1717 _let_1722 _let_1654 _let_1656 _let_1666 _let_1669 _let_1739 _let_1744 _let_1746 _let_1747 _let_1750 _let_1763 _let_1765 _let_1774 _let_1777 _let_1780 _let_1784 _let_1789 _let_1792 _let_1795 _let_1801 _let_1802 _let_1804 _let_1813 _let_1816 _let_1819 _let_1823 _let_1825 _let_1828 _let_1833 _let_1836 _let_1839 _let_1841 _let_1852 _let_1854 _let_1856 _let_1867 _let_1871 _let_1877 _let_1879 _let_1880 _let_1886 _let_1887 _let_1891 _let_1893 _let_2095 _let_2097 _let_2098 _let_2101 _let_1918 _let_1915 _let_1912 _let_1906 _let_1904 _let_2106 _let_2110 _let_2112 _let_1900 _let_1926 _let_1928 _let_1936 _let_1938 _let_1941 _let_1943 _let_1930 _let_1932 _let_1948 _let_1951 _let_1954 _let_1958 _let_1961 _let_1967 _let_1970 _let_1976 _let_1980 _let_1986 _let_1995 _let_1998 _let_2000 _let_2003 _let_2011 _let_2017 _let_2019 _let_2020 _let_2024 _let_2030 _let_2034 _let_2043 _let_2044 _let_2047 _let_2055 _let_2051 _let_2052 _let_2065 _let_2068 _let_2072 _let_2075 _let_2117 _let_2118 _let_2120 _let_2122 _let_2137 _let_2149 _let_2150 _let_2155 _let_2158 _let_2168 _let_2169 _let_2171 _let_2173 _let_2175 _let_2178 _let_2179 _let_2181 _let_2183 _let_2189 _let_2192 _let_2203 _let_2206 _let_2209 _let_2211 _let_2215 _let_2219 _let_2220 _let_2347 _let_2348 _let_2352 _let_2357 _let_2359 _let_2361 _let_2363 _let_2364 _let_2371 _let_2378 _let_2383 _let_2388 _let_2394 _let_2334 _let_2254 _let_2336 _let_2269 _let_2272 _let_2397 _let_2399 _let_2402 _let_2415 _let_2306 _let_2301 _let_2292 _let_2294 _let_2282 _let_2299 _let_2297 _let_2296 _let_2288 _let_2291 _let_2286 _let_2285 _let_2280 _let_2279 _let_2416 _let_2464 _let_2498 _let_2499 _let_2445 _let_2465 _let_2466 _let_2467 _let_2246 _let_2468 _let_2470 _let_2471 _let_2474 _let_2481 _let_2484 _let_2491 _let_2316 _let_2314 _let_2312 _let_2311 _let_2504 _let_2506 _let_2508 _let_2511 _let_2456 _let_2454 _let_2452 _let_2451 _let_2515 _let_2517 _let_2518 _let_2520 _let_2428 _let_2431 _let_2524 _let_2526 _let_2531 _let_2533 _let_2534 _let_2417 _let_2418 _let_2419 _let_2420 _let_2422 _let_2423 _let_2425 _let_2435 _let_2437 _let_2438 _let_2441 _let_2442 _let_2448 _let_2450 _let_2463 _let_2536 _let_2537 _let_2237 _let_2240 _let_2242 _let_2243 _let_2248 _let_2250 _let_2259 _let_2323 _let_2330 _let_2332 _let_2340 _let_2539 _let_2540 _let_2547 _let_2551 _let_2552 _let_2549 _let_2550 _let_2553 _let_2554 _let_2555 _let_2557 _let_2560 _let_2561 _let_2562 _let_2564 _let_2565 _let_2566 _let_2569 _let_2570 _let_2571 _let_2572 _let_2574 _let_2578 _let_2580 _let_2582 _let_2584 _let_2585 _let_2586 _let_2588 _let_780) (SCOPE (TRANS (SYMM (SYMM _let_780)) _let_1111 _let_994 _let_1208 (CONG (TRANS _let_1206 (SYMM (TRANS _let_855 _let_779))) _let_996 :args _let_850) (SYMM (SYMM _let_2588)) (CONG _let_880 _let_2177 :args _let_850) (CONG _let_1975 (TRANS _let_2277 _let_1904 _let_1906 _let_2276 _let_2275 _let_1916 _let_2274 (SYMM _let_2556) _let_2558 (SYMM _let_2563) (SYMM _let_2581) _let_2583 (SYMM _let_2587)) :args _let_850) (CONG _let_1122 (TRANS _let_2587 (SYMM _let_2583) _let_2581 _let_2563 (SYMM _let_2558) _let_2556 _let_1921 _let_1917 _let_1914 _let_1909 _let_1907 _let_1905 _let_1903 (SYMM (SYMM _let_2555)) (SYMM _let_2548) (CONG _let_1581 (TRANS _let_2277 _let_1904 _let_1906 _let_2276 _let_2275 _let_1916 _let_2274 _let_2546 _let_2250 _let_2545 _let_2324 _let_2544 _let_2543 _let_2541) :args _let_841) (SYMM (SYMM _let_2554)) (CONG (TRANS (TRANS (CONG _let_1581 _let_2538 :args _let_841) (CONG _let_1580 _let_1245 :args _let_841) (SYMM (SYMM _let_2553)) (CONG (TRANS (TRANS (CONG _let_1725 _let_1245 :args _let_841) (SYMM (SYMM _let_2552)) (CONG (CONG _let_1527 _let_1245 :args _let_841) (TRANS (CONG _let_852 _let_1257 :args _let_841) _let_1248 _let_1243 _let_1101 _let_1440 _let_1439) :args _let_850) (SYMM _let_2551) (CONG _let_986 _let_1245 :args _let_841) (SYMM _let_2182) _let_2183 (SYMM _let_2185) _let_929 _let_779) _let_998) (TRANS (CONG (SYMM _let_1497) _let_1245 :args _let_841) (SYMM (SYMM _let_2550)) (CONG (CONG _let_1471 _let_1245 :args _let_841) (TRANS _let_1243 _let_928 _let_2185 _let_2184 _let_2182) :args _let_850) (SYMM _let_2549) (CONG _let_933 _let_1245 :args _let_841) _let_852 _let_779) :args _let_850) _let_1244 _let_1096 _let_779) (TRANS _let_998 _let_939 _let_1241 _let_942 _let_2201 _let_2200 _let_1363 _let_2199 _let_2198 _let_1410 _let_2197 _let_2196 _let_1426 _let_2195 _let_1960 _let_1959 _let_1957 _let_1956 _let_1953 _let_2194 _let_2190 _let_2188 _let_2172 _let_2170 _let_2167 _let_2166 (CONG (TRANS _let_1165 _let_1303 _let_1180 _let_1302 _let_1188 _let_1301 _let_2164 _let_1926 _let_1928 _let_2163 _let_2162 _let_2161 _let_2012 _let_1996 _let_1994 _let_1239 _let_954 _let_1238) _let_2114 :args _let_841))) (TRANS (CONG _let_1581 (TRANS _let_2344 _let_2342 _let_2333 _let_2331 _let_2223 _let_2222 _let_1921 _let_1917 _let_1914 _let_1909 _let_1907 _let_1905 _let_1903) :args _let_841) _let_2548 (CONG _let_1479 _let_2114 :args _let_841)) :args _let_850) (SYMM _let_2547) (CONG (SYMM _let_2496) _let_1581 :args _let_841) (CONG _let_2345 (TRANS _let_2546 _let_2250 _let_2545 _let_2324 _let_2544 _let_2543 _let_2541) :args _let_841) (SYMM (SYMM _let_2539)) (CONG (TRANS (TRANS (CONG _let_2345 _let_2538 :args _let_841) (CONG _let_2396 (SYMM _let_2356) :args _let_841) (CONG _let_2349 _let_2356 :args _let_841) (CONG _let_2349 (TRANS _let_1205 (CONG _let_1037 _let_1245 :args _let_841)) :args _let_841) (SYMM _let_2348) (CONG (TRANS _let_1942 _let_1940 _let_1939 _let_1937) _let_1245 :args _let_841) (CONG _let_1281 (SYMM _let_1224) :args _let_841) (SYMM (SYMM _let_2347)) (CONG (TRANS (TRANS _let_1228 (SYMM _let_1230) _let_1232 _let_956) _let_1137) _let_2346 :args _let_850) _let_980 _let_779) (SYMM _let_2221)) (CONG _let_2345 (TRANS _let_2344 _let_2342 _let_2333 _let_2331 _let_2223 _let_2222) :args _let_841) :args _let_850) (CONG (TRANS _let_2221 (TRANS _let_998 _let_939 _let_1241 _let_942 _let_2201 _let_2200 _let_1363 _let_2199 _let_2198 _let_1410 _let_2197 _let_2196 _let_1426 _let_2195 _let_1960 _let_1959 _let_1957 _let_1956 _let_1953 _let_2194 _let_2190 _let_2188 _let_2172 _let_2170 _let_2167 _let_2166 (CONG _let_2165 _let_2114 :args _let_841) (CONG _let_2152 _let_1581 :args _let_841) (CONG (SYMM _let_992) _let_1581 :args _let_841) (SYMM (SYMM _let_2150)) (CONG (TRANS (SYMM _let_1800) _let_998) (REFL :args (_let_681)) :args _let_850) (SYMM _let_2149) (CONG _let_2148 _let_2147 :args _let_841) _let_2146 _let_1595 (SYMM _let_2121) _let_2123 (SYMM _let_2145)) (TRANS _let_2145 (SYMM _let_2123) _let_2121 (SYMM _let_1595) _let_1594) (SYMM _let_1593)) _let_1590 :args _let_850) (CONG _let_1593 _let_1590 :args _let_850) (SYMM _let_1589) (CONG _let_1588 _let_1581 :args _let_841) (CONG _let_844 _let_1580 :args _let_841) (SYMM (SYMM _let_1577)) (CONG (SYMM _let_1558) _let_1576 :args _let_850) (SYMM _let_1570) (CONG _let_1568 (REFL :args (_let_206)) :args _let_850) (CONG (TRANS (SYMM _let_1569) (TRANS _let_1569 (SYMM _let_1568) _let_919 _let_913) (SYMM _let_1563)) _let_1567 :args _let_850) (CONG _let_1564 (TRANS _let_1559 (SYMM _let_1548) _let_1547 _let_1545 (SYMM _let_1512) _let_1510 (SYMM _let_1459) _let_1458 _let_1453 _let_1427 _let_1425 _let_1412 _let_1411 _let_1408 _let_1382 _let_1364 _let_1361 _let_1359 _let_943 _let_941 _let_940 _let_928 _let_938) :args _let_850) _let_936 _let_934) :args _let_850) (SYMM (SYMM _let_922)) (CONG _let_921 _let_844 :args _let_850) (CONG _let_866 _let_881 :args _let_850) (CONG _let_866 _let_865 :args _let_850) _let_860 _let_858 _let_849 _let_847 _let_845) :args (_let_36 _let_42 _let_73 _let_60 _let_191 _let_357 _let_77 _let_50 _let_67 _let_33 _let_59 _let_22 _let_72 _let_78 _let_195 _let_339 _let_634 _let_486 _let_193 _let_326 _let_297 _let_386 _let_64 _let_577 _let_112 _let_181 _let_82 _let_179 _let_352 _let_251 _let_442 _let_61 _let_132 _let_93 _let_158 _let_394 _let_66 _let_103 _let_395 _let_48 _let_28 _let_95 _let_166 _let_182 _let_355 _let_508 _let_554 _let_56 _let_80 _let_129 _let_70 _let_187 _let_74 _let_101 _let_137 _let_366 _let_504 _let_45 _let_39 _let_35 _let_25 _let_52 _let_548 _let_276 _let_168 _let_569 _let_171 _let_183 _let_174 _let_373 _let_334 _let_382 _let_520 _let_384 _let_572 _let_566 _let_638 _let_625 _let_245 _let_123 _let_89 _let_127 _let_501 _let_495 _let_149 _let_633 _let_389 _let_310 _let_323 _let_616 _let_313 _let_324 _let_610 _let_403 _let_398 _let_84 _let_54 _let_408 _let_432 _let_433 _let_405 _let_189 _let_194 _let_30 _let_115 _let_287 _let_143 _let_331 _let_58 _let_76 _let_281 _let_632 _let_631 _let_248 _let_154 _let_652 _let_541 _let_385 _let_557 _let_522 _let_574 _let_268 _let_590 _let_417 _let_369 _let_167 _let_98 _let_165 _let_109 _let_147 _let_148 _let_293 _let_618 _let_525 _let_160 _let_752 _let_217 _let_272 _let_134 _let_111 _let_437 _let_761 _let_372 _let_426 _let_322 _let_232 _let_438 _let_344 _let_381 _let_350 _let_531 _let_434 _let_424 _let_305 _let_91 _let_669 _let_532 _let_565 _let_360 _let_594 _let_719 _let_555 _let_705 _let_544 _let_351 _let_601 _let_498 _let_491 _let_307 _let_413 _let_747 _let_436 _let_650 _let_588 _let_299 _let_529 _let_677 _let_680 _let_655 _let_387 _let_741 _let_611 _let_151 _let_320 _let_316 _let_396 _let_185 _let_499 _let_284 _let_474 _let_461 _let_629 _let_609 _let_608 _let_379 _let_517 _let_686 _let_687 _let_466 _let_255 _let_459 _let_497 _let_488 _let_156 _let_319 _let_627 _let_460 _let_258 _let_467 _let_689 _let_757 _let_615 _let_661 _let_646 _let_439 _let_561 _let_402 _let_513 _let_211 _let_116 _let_204 _let_261 _let_140 _let_229 _let_455 _let_280 _let_422 _let_107 _let_505 _let_415 _let_196 _let_105 _let_725 _let_586 _let_225 _let_241 _let_163 _let_445 _let_660 _let_113 _let_668 _let_464 _let_303 _let_414 _let_457 _let_496 _let_493 _let_684 _let_579 _let_712 _let_332 _let_549 _let_342 _let_286 _let_296 _let_630 _let_751 _let_221 _let_584 _let_260 _let_119 _let_290 _let_468 _let_407 _let_621 _let_239 _let_607 _let_755 _let_754 _let_568 _let_524 _let_300 _let_328 _let_480 _let_665 _let_215 _let_620 _let_667 _let_666 _let_583 _let_552 _let_200 _let_582 _let_523 _let_420 _let_731 _let_571 _let_717 _let_701 _let_599 _let_613 _let_393 _let_716 _let_265 _let_471 _let_672 _let_679 _let_654 _let_762 _let_688 _let_624 _let_763 _let_682 _let_750 _let_756 _let_208 _let_449 _let_678 _let_744 _let_695 _let_427 _let_87 _let_421 _let_125 _let_648 _let_506 _let_202 _let_419 _let_452 _let_598 _let_454 _let_639 _let_645 _let_236 _let_603 _let_435 _let_592 _let_380 _let_390 _let_692 _let_564 _let_729 _let_748 _let_737 _let_614 _let_553 _let_176 _let_162 _let_718 _let_703 _let_635 _let_671 _let_662 _let_483 _let_772 _let_760 _let_521 _let_234 _let_604 _let_410 _let_465 _let_675 _let_540 _let_397 _let_602 _let_698 _let_478 _let_388 _let_444 _let_693 _let_425 _let_691 _let_764 _let_674 _let_430 _let_749 _let_768 _let_475 _let_697 _let_347 _let_581 _let_711 _let_550 _let_715 _let_707 _let_708 _let_696 _let_473 _let_271 _let_766 _let_723 _let_560 _let_733 _let_509 _let_738 _let_503 _let_526 _let_317 _let_530 _let_314 _let_484 _let_556 _let_515 _let_722 _let_704 _let_721 _let_547 _let_336 _let_511 _let_576 _let_333 _let_732 _let_451 _let_699 _let_709 _let_740 _let_519 _let_753 _let_401 _let_622 _let_626 _let_773 _let_727 _let_769 _let_643 _let_702 _let_758 _let_706 _let_567 _let_376 _let_536 _let_535 _let_683 _let_759 _let_774 _let_575 _let_771 _let_659 _let_775 _let_263 _let_458 _let_253 _let_456 _let_685 _let_770 _let_778 _let_735 _let_728 _let_596 _let_363 _let_479 _let_481 _let_730 _let_776 _let_746 _let_739 _let_514 _let_412 _let_714 _let_743 _let_777 _let_537 _let_720 _let_734 _let_330 _let_23))) :args (_let_22 _let_23 _let_25 _let_28 _let_30 _let_33 _let_35 _let_36 _let_39 _let_42 _let_45 _let_48 _let_50 _let_52 _let_54 _let_56 _let_58 _let_59 _let_60 _let_61 _let_64 _let_66 _let_67 _let_70 _let_72 _let_73 _let_74 _let_76 _let_77 _let_78 _let_80 _let_82 _let_84 _let_87 _let_89 _let_91 _let_93 _let_95 _let_98 _let_101 _let_103 _let_105 _let_107 _let_109 _let_111 _let_112 _let_113 _let_115 _let_116 _let_119 _let_123 _let_125 _let_127 _let_129 _let_132 _let_134 _let_137 _let_140 _let_143 _let_147 _let_148 _let_149 _let_151 _let_154 _let_156 _let_158 _let_160 _let_162 _let_163 _let_165 _let_166 _let_167 _let_168 _let_171 _let_174 _let_176 _let_179 _let_181 _let_182 _let_183 _let_185 _let_187 _let_189 _let_191 _let_193 _let_194 _let_195 _let_196 _let_200 _let_202 _let_204 _let_208 _let_211 _let_215 _let_217 _let_221 _let_225 _let_229 _let_232 _let_234 _let_236 _let_239 _let_241 _let_245 _let_248 _let_251 _let_253 _let_255 _let_258 _let_260 _let_261 _let_263 _let_265 _let_268 _let_271 _let_272 _let_276 _let_280 _let_281 _let_284 _let_286 _let_287 _let_290 _let_293 _let_296 _let_297 _let_299 _let_300 _let_303 _let_305 _let_307 _let_310 _let_313 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(not _let_323) (not _let_324) (not _let_326) (not _let_328) (not _let_330) (not _let_331) (not _let_332) (not _let_333) (not _let_334) (not _let_336) (not _let_339) (not _let_342) (not _let_344) (not _let_347) (not _let_350) (not _let_351) (not _let_352) (not _let_355) (not _let_357) (not _let_360) (not _let_363) (not _let_366) (not _let_369) (not _let_372) (not _let_373) (not _let_376) (not _let_379) (not _let_380) (not _let_381) (not _let_382) (not _let_384) (not _let_385) (not _let_386) (not _let_387) (not _let_388) (not _let_389) (not _let_390) (not _let_393) (not _let_394) (not _let_395) (not _let_396) (not _let_397) (not _let_398) (not _let_401) (not _let_402) (not _let_403) (not _let_405) (not _let_407) (not _let_408) (not _let_410) (not _let_412) (not _let_413) (not _let_414) (not _let_415) (not _let_417) (not _let_419) (not _let_420) (not _let_421) (not _let_422) (not _let_424) (not _let_425) (not _let_426) (not _let_427) (not _let_430) (not _let_432) (not _let_433) (not 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(not _let_532) (not _let_535) (not _let_536) (not _let_537) (not _let_540) (not _let_541) (not _let_544) (not _let_547) (not _let_548) (not _let_549) (not _let_550) (not _let_552) (not _let_553) (not _let_554) (not _let_555) (not _let_556) (not _let_557) (not _let_560) (not _let_561) (not _let_564) (not _let_565) (not _let_566) (not _let_567) (not _let_568) (not _let_569) (not _let_571) (not _let_572) (not _let_574) (not _let_575) (not _let_576) (not _let_577) (not _let_579) (not _let_581) (not _let_582) (not _let_583) (not _let_584) (not _let_586) (not _let_588) (not _let_590) (not _let_592) (not _let_594) (not _let_596) (not _let_598) (not _let_599) (not _let_601) (not _let_602) (not _let_603) (not _let_604) (not _let_607) (not _let_608) (not _let_609) (not _let_610) (not _let_611) (not _let_613) (not _let_614) (not _let_615) (not _let_616) (not _let_618) (not _let_620) (not _let_621) (not _let_622) (not _let_624) (not _let_625) (not _let_626) (not _let_627) (not _let_629) (not _let_630) (not _let_631) (not _let_632) (not _let_633) (not _let_634) (not _let_635) (not _let_638) (not _let_639) (not _let_643) (not _let_645) (not _let_646) (not _let_648) (not _let_650) (not _let_652) (not _let_654) (not _let_655) (not _let_659) (not _let_660) (not _let_661) (not _let_662) (not _let_665) (not _let_666) (not _let_667) (not _let_668) (not _let_669) (not _let_671) (not _let_672) (not _let_674) (not _let_675) (not _let_677) (not _let_678) (not _let_679) (not _let_680) (not _let_682) (not _let_683) (not _let_684) (not _let_685) (not _let_686) (not _let_687) (not _let_688) (not _let_689) (not _let_691) (not _let_692) (not _let_693) (not _let_695) (not _let_696) (not _let_697) (not _let_698) (not _let_699) (not _let_701) (not _let_702) (not _let_703) (not _let_704) (not _let_705) (not _let_706) (not _let_707) (not _let_708) (not _let_709) (not _let_711) (not _let_712) (not _let_714) (not _let_715) (not _let_716) (not _let_717) (not _let_718) (not _let_719) (not _let_720) (not _let_721) (not _let_722) (not _let_723) (not _let_725) (not _let_727) (not _let_728) (not _let_729) (not _let_730) (not _let_731) (not _let_732) (not _let_733) (not _let_734) (not _let_735) (not _let_737) (not _let_738) (not _let_739) (not _let_740) (not _let_741) (not _let_743) (not _let_744) (not _let_746) (not _let_747) (not _let_748) (not _let_749) (not _let_750) (not _let_751) (not _let_752) (not _let_753) (not _let_754) (not _let_755) (not _let_756) (not _let_757) (not _let_758) (not _let_759) (not _let_760) (not _let_761) (not _let_762) (not _let_763) (not _let_764) (not _let_766) (not _let_768) (not _let_769) (not _let_770) (not _let_771) (not _let_772) (not _let_773) (not _let_774) (not _let_775) (not _let_776) (not _let_777) (not _let_778)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_830 :args (_let_121 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_832)) :args _let_831)) _let_830 :args (_let_778 false _let_829)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (_let_370 _let_288 _let_742 QUANTIFIERS_INST_E_MATCHING _let_800)) :args _let_798)) _let_799 :args (_let_777 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (_let_527 _let_559 _let_85 QUANTIFIERS_INST_E_MATCHING _let_800)) :args _let_798)) _let_799 :args (_let_776 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_805 :args (_let_391 _let_121 _let_377 QUANTIFIERS_INST_E_MATCHING _let_806)) :args _let_804)) _let_805 :args (_let_775 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_802 :args (_let_243 _let_177 _let_68 QUANTIFIERS_INST_E_MATCHING _let_833)) :args _let_801)) _let_802 :args (_let_774 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_802 :args (_let_172 _let_367 _let_246 QUANTIFIERS_INST_E_MATCHING _let_833)) :args _let_801)) _let_802 :args (_let_773 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_802 :args (_let_370 _let_62 _let_68 QUANTIFIERS_INST_E_MATCHING _let_833)) :args _let_801)) _let_802 :args (_let_772 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_802 :args (_let_527 _let_657 _let_656 QUANTIFIERS_INST_E_MATCHING _let_803)) :args _let_801)) _let_802 :args (_let_771 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_802 :args (_let_377 _let_657 _let_656 QUANTIFIERS_INST_E_MATCHING _let_803)) :args _let_801)) _let_802 :args (_let_770 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_802 :args (_let_765 _let_641 _let_640 QUANTIFIERS_INST_E_MATCHING _let_803)) :args _let_801)) _let_802 :args (_let_769 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_802 :args (_let_172 _let_391 _let_121 QUANTIFIERS_INST_E_MATCHING _let_803)) :args _let_801)) _let_802 :args (_let_768 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_802 :args (_let_172 _let_765 _let_288 QUANTIFIERS_INST_E_MATCHING _let_803)) :args _let_801)) _let_802 :args (_let_766 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_795 :args (_let_690 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_797)) :args _let_796)) _let_795 :args (_let_764 false _let_794)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_795 :args (_let_681 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_797)) :args _let_796)) _let_795 :args (_let_763 false _let_794)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_795 :args (_let_653 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_797)) :args _let_796)) _let_795 :args (_let_762 false _let_794)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_830 :args (_let_99 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_832)) :args _let_831)) _let_830 :args (_let_761 false _let_829)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_827 :args (_let_246 tptp.b _let_205 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% 2.89/3.07 )
% 2.89/3.08 % SZS output end Proof for RNG008-3
% 2.89/3.09 % cvc5---1.0.5 exiting
% 2.89/3.09 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------