TSTP Solution File: GRP100-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP100-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:24:20 EDT 2023

% Result   : Unsatisfiable 6.34s 6.55s
% Output   : Proof 6.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP100-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 02:13:02 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZPb6FrBcMS/cvc5---1.0.5_21824.p...
% 0.20/0.50  ------- get file name : TPTP file name is GRP100-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21824.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 6.34/6.55  % SZS status Unsatisfiable for GRP100-1
% 6.34/6.55  % SZS output start Proof for GRP100-1
% 6.42/6.61  (
% 6.42/6.61  (let ((_let_1 (tptp.multiply tptp.b4 tptp.a4))) (let ((_let_2 (tptp.multiply tptp.a4 tptp.b4))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.multiply tptp.b3 tptp.c3))) (let ((_let_6 (tptp.multiply tptp.a3 _let_5))) (let ((_let_7 (tptp.multiply tptp.a3 tptp.b3))) (let ((_let_8 (tptp.multiply _let_7 tptp.c3))) (let ((_let_9 (= _let_8 _let_6))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.multiply tptp.identity tptp.a2))) (let ((_let_12 (tptp.inverse tptp.a1))) (let ((_let_13 (tptp.multiply _let_12 tptp.a1))) (let ((_let_14 (or (not (= _let_13 tptp.identity)) (not (= _let_11 tptp.a2)) _let_10 _let_4))) (let ((_let_15 (forall ((X $$unsorted)) (= tptp.identity (tptp.double_divide X (tptp.inverse X)))))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.inverse X) (tptp.double_divide X tptp.identity))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y) (tptp.double_divide (tptp.double_divide Y X) tptp.identity))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.double_divide (tptp.double_divide X (tptp.double_divide (tptp.double_divide Y (tptp.double_divide X Z)) (tptp.double_divide Z tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) Y)))) (let ((_let_19 (tptp.double_divide tptp.b3 tptp.a3))) (let ((_let_20 (tptp.double_divide _let_19 tptp.identity))) (let ((_let_21 (= _let_7 _let_20))) (let ((_let_22 (tptp.double_divide _let_5 tptp.a3))) (let ((_let_23 (tptp.double_divide _let_22 tptp.identity))) (let ((_let_24 (= _let_6 _let_23))) (let ((_let_25 (tptp.double_divide tptp.c3 tptp.b3))) (let ((_let_26 (tptp.double_divide _let_25 tptp.identity))) (let ((_let_27 (= _let_5 _let_26))) (let ((_let_28 (tptp.double_divide tptp.c3 _let_7))) (let ((_let_29 (tptp.double_divide _let_28 tptp.identity))) (let ((_let_30 (= _let_8 _let_29))) (let ((_let_31 (tptp.double_divide tptp.a1 tptp.identity))) (let ((_let_32 (= _let_12 _let_31))) (let ((_let_33 (tptp.double_divide tptp.a1 _let_12))) (let ((_let_34 (= tptp.identity _let_33))) (let ((_let_35 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_36 (tptp.double_divide tptp.a1 _let_31))) (let ((_let_37 (tptp.double_divide tptp.a1 (tptp.double_divide _let_36 _let_35)))) (let ((_let_38 (= tptp.a1 (tptp.double_divide _let_37 _let_35)))) (let ((_let_39 (tptp.double_divide _let_12 tptp.identity))) (let ((_let_40 (tptp.double_divide tptp.a1 _let_33))) (let ((_let_41 (tptp.double_divide _let_40 _let_39))) (let ((_let_42 (tptp.double_divide tptp.a1 _let_41))) (let ((_let_43 (= tptp.a1 (tptp.double_divide _let_42 _let_35)))) (let ((_let_44 (tptp.double_divide tptp.c3 _let_20))) (let ((_let_45 (tptp.double_divide _let_44 _let_35))) (let ((_let_46 (tptp.double_divide _let_19 _let_45))) (let ((_let_47 (tptp.double_divide _let_46 _let_35))) (let ((_let_48 (= tptp.c3 _let_47))) (let ((_let_49 (tptp.double_divide _let_28 _let_33))) (let ((_let_50 (tptp.double_divide _let_49 _let_39))) (let ((_let_51 (tptp.double_divide tptp.a1 _let_50))) (let ((_let_52 (= _let_28 (tptp.double_divide _let_51 _let_35)))) (let ((_let_53 (tptp.double_divide _let_33 _let_33))) (let ((_let_54 (tptp.double_divide _let_53 _let_39))) (let ((_let_55 (tptp.double_divide tptp.a1 _let_54))) (let ((_let_56 (tptp.double_divide _let_55 _let_35))) (let ((_let_57 (= _let_33 _let_56))) (let ((_let_58 (tptp.double_divide _let_25 _let_33))) (let ((_let_59 (tptp.double_divide tptp.a1 (tptp.double_divide _let_58 _let_39)))) (let ((_let_60 (= _let_25 (tptp.double_divide _let_59 _let_35)))) (let ((_let_61 (tptp.double_divide _let_22 _let_33))) (let ((_let_62 (tptp.double_divide tptp.a1 (tptp.double_divide _let_61 _let_39)))) (let ((_let_63 (= _let_22 (tptp.double_divide _let_62 _let_35)))) (let ((_let_64 (tptp.double_divide _let_19 _let_33))) (let ((_let_65 (tptp.double_divide tptp.a1 (tptp.double_divide _let_64 _let_39)))) (let ((_let_66 (= _let_19 (tptp.double_divide _let_65 _let_35)))) (let ((_let_67 (tptp.double_divide _let_33 tptp.identity))) (let ((_let_68 (tptp.double_divide _let_67 tptp.identity))) (let ((_let_69 (= (tptp.multiply tptp.identity _let_33) _let_68))) (let ((_let_70 (= (tptp.multiply tptp.identity _let_28) (tptp.double_divide _let_29 tptp.identity)))) (let ((_let_71 (tptp.inverse _let_33))) (let ((_let_72 (= _let_67 _let_71))) (let ((_let_73 (tptp.inverse _let_19))) (let ((_let_74 (= _let_20 _let_73))) (let ((_let_75 (tptp.inverse _let_22))) (let ((_let_76 (= _let_23 _let_75))) (let ((_let_77 (tptp.inverse _let_25))) (let ((_let_78 (= _let_26 _let_77))) (let ((_let_79 (tptp.inverse _let_28))) (let ((_let_80 (= _let_29 _let_79))) (let ((_let_81 (tptp.double_divide _let_35 tptp.identity))) (let ((_let_82 (tptp.double_divide _let_55 (tptp.double_divide (tptp.double_divide _let_33 _let_56) _let_81)))) (let ((_let_83 (= _let_33 (tptp.double_divide _let_82 _let_35)))) (let ((_let_84 (tptp.double_divide _let_25 _let_56))) (let ((_let_85 (tptp.double_divide _let_55 (tptp.double_divide _let_84 _let_81)))) (let ((_let_86 (= _let_25 (tptp.double_divide _let_85 _let_35)))) (let ((_let_87 (tptp.double_divide _let_22 _let_56))) (let ((_let_88 (tptp.double_divide _let_55 (tptp.double_divide _let_87 _let_81)))) (let ((_let_89 (= _let_22 (tptp.double_divide _let_88 _let_35)))) (let ((_let_90 (tptp.double_divide _let_19 _let_56))) (let ((_let_91 (tptp.double_divide _let_55 (tptp.double_divide _let_90 _let_81)))) (let ((_let_92 (= _let_19 (tptp.double_divide _let_91 _let_35)))) (let ((_let_93 (tptp.double_divide _let_55 (tptp.double_divide (tptp.double_divide _let_29 _let_56) _let_81)))) (let ((_let_94 (= _let_29 (tptp.double_divide _let_93 _let_35)))) (let ((_let_95 (tptp.double_divide _let_26 _let_56))) (let ((_let_96 (tptp.double_divide _let_55 (tptp.double_divide _let_95 _let_81)))) (let ((_let_97 (= _let_26 (tptp.double_divide _let_96 _let_35)))) (let ((_let_98 (tptp.double_divide _let_55 (tptp.double_divide (tptp.double_divide _let_23 _let_56) _let_81)))) (let ((_let_99 (= _let_23 (tptp.double_divide _let_98 _let_35)))) (let ((_let_100 (tptp.double_divide _let_55 (tptp.double_divide (tptp.double_divide _let_20 _let_56) _let_81)))) (let ((_let_101 (= _let_20 (tptp.double_divide _let_100 _let_35)))) (let ((_let_102 (tptp.double_divide _let_39 tptp.identity))) (let ((_let_103 (tptp.double_divide tptp.a2 tptp.identity))) (let ((_let_104 (tptp.double_divide _let_103 _let_33))) (let ((_let_105 (tptp.double_divide tptp.a1 (tptp.double_divide _let_104 _let_39)))) (let ((_let_106 (tptp.double_divide _let_104 (tptp.double_divide _let_105 _let_102)))) (let ((_let_107 (= tptp.a1 (tptp.double_divide _let_106 _let_35)))) (let ((_let_108 (tptp.double_divide tptp.a2 _let_33))) (let ((_let_109 (tptp.double_divide _let_108 (tptp.double_divide (tptp.double_divide tptp.a1 (tptp.double_divide _let_108 _let_39)) _let_102)))) (let ((_let_110 (= tptp.a1 (tptp.double_divide _let_109 _let_35)))) (let ((_let_111 (tptp.double_divide _let_31 tptp.identity))) (let ((_let_112 (tptp.double_divide _let_64 _let_111))) (let ((_let_113 (tptp.double_divide _let_31 (tptp.double_divide _let_112 _let_35)))) (let ((_let_114 (tptp.double_divide _let_113 _let_35))) (let ((_let_115 (= _let_64 _let_114))) (let ((_let_116 (tptp.double_divide _let_65 _let_67))) (let ((_let_117 (tptp.double_divide _let_33 (tptp.double_divide _let_116 _let_35)))) (let ((_let_118 (= _let_65 (tptp.double_divide _let_117 _let_35)))) (let ((_let_119 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_61 _let_111) _let_35)))) (let ((_let_120 (tptp.double_divide _let_119 _let_35))) (let ((_let_121 (= _let_61 _let_120))) (let ((_let_122 (tptp.double_divide _let_62 _let_67))) (let ((_let_123 (tptp.double_divide _let_33 (tptp.double_divide _let_122 _let_35)))) (let ((_let_124 (= _let_62 (tptp.double_divide _let_123 _let_35)))) (let ((_let_125 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_58 _let_111) _let_35)))) (let ((_let_126 (tptp.double_divide _let_125 _let_35))) (let ((_let_127 (= _let_58 _let_126))) (let ((_let_128 (tptp.double_divide _let_59 _let_67))) (let ((_let_129 (tptp.double_divide _let_33 (tptp.double_divide _let_128 _let_35)))) (let ((_let_130 (= _let_59 (tptp.double_divide _let_129 _let_35)))) (let ((_let_131 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_53 _let_111) _let_35)))) (let ((_let_132 (tptp.double_divide _let_131 _let_35))) (let ((_let_133 (= _let_53 _let_132))) (let ((_let_134 (= _let_55 (tptp.double_divide (tptp.double_divide _let_33 (tptp.double_divide (tptp.double_divide _let_55 _let_67) _let_35)) _let_35)))) (let ((_let_135 (tptp.double_divide _let_49 _let_111))) (let ((_let_136 (tptp.double_divide _let_135 _let_35))) (let ((_let_137 (tptp.double_divide _let_31 _let_136))) (let ((_let_138 (tptp.double_divide _let_137 _let_35))) (let ((_let_139 (= _let_49 _let_138))) (let ((_let_140 (tptp.double_divide _let_33 (tptp.double_divide (tptp.double_divide _let_51 _let_67) _let_35)))) (let ((_let_141 (= _let_51 (tptp.double_divide _let_140 _let_35)))) (let ((_let_142 (tptp.double_divide _let_44 (tptp.double_divide _let_46 _let_81)))) (let ((_let_143 (= _let_19 (tptp.double_divide _let_142 _let_35)))) (let ((_let_144 (tptp.double_divide _let_46 _let_67))) (let ((_let_145 (tptp.double_divide _let_144 _let_35))) (let ((_let_146 (tptp.double_divide _let_33 _let_145))) (let ((_let_147 (= _let_46 (tptp.double_divide _let_146 _let_35)))) (let ((_let_148 (= _let_42 (tptp.double_divide (tptp.double_divide _let_33 (tptp.double_divide (tptp.double_divide _let_42 _let_67) _let_35)) _let_35)))) (let ((_let_149 (tptp.double_divide _let_33 (tptp.double_divide (tptp.double_divide _let_36 _let_67) _let_35)))) (let ((_let_150 (= _let_36 (tptp.double_divide _let_149 _let_35)))) (let ((_let_151 (tptp.double_divide _let_36 (tptp.double_divide _let_37 _let_81)))) (let ((_let_152 (= tptp.a1 (tptp.double_divide _let_151 _let_35)))) (let ((_let_153 (tptp.double_divide (tptp.double_divide _let_37 _let_67) _let_35))) (let ((_let_154 (tptp.double_divide _let_33 _let_153))) (let ((_let_155 (= _let_37 (tptp.double_divide _let_154 _let_35)))) (let ((_let_156 (= (tptp.multiply tptp.identity _let_67) (tptp.double_divide _let_68 tptp.identity)))) (let ((_let_157 (= (tptp.multiply _let_35 _let_44) (tptp.double_divide _let_45 tptp.identity)))) (let ((_let_158 (= _let_68 (tptp.inverse _let_67)))) (let ((_let_159 (tptp.inverse _let_20))) (let ((_let_160 (tptp.double_divide _let_20 tptp.identity))) (let ((_let_161 (= _let_160 _let_159))) (let ((_let_162 (tptp.inverse _let_23))) (let ((_let_163 (tptp.double_divide _let_23 tptp.identity))) (let ((_let_164 (= _let_163 _let_162))) (let ((_let_165 (= tptp.identity (tptp.double_divide _let_33 _let_71)))) (let ((_let_166 (= tptp.identity (tptp.double_divide _let_19 _let_73)))) (let ((_let_167 (= tptp.identity (tptp.double_divide _let_22 _let_75)))) (let ((_let_168 (= tptp.identity (tptp.double_divide _let_25 _let_77)))) (let ((_let_169 (tptp.double_divide _let_28 _let_79))) (let ((_let_170 (= tptp.identity _let_169))) (let ((_let_171 (tptp.double_divide _let_79 tptp.identity))) (let ((_let_172 (= _let_26 (tptp.double_divide (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_26 _let_169) _let_171)) _let_35)))) (let ((_let_173 (= _let_20 (tptp.double_divide (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_20 _let_169) _let_171)) _let_35)))) (let ((_let_174 (= _let_67 (tptp.double_divide (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_67 _let_169) _let_171)) _let_35)))) (let ((_let_175 (= _let_65 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_65 _let_132) _let_81)) _let_35)))) (let ((_let_176 (= _let_59 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_59 _let_132) _let_81)) _let_35)))) (let ((_let_177 (= _let_55 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_55 _let_132) _let_81)) _let_35)))) (let ((_let_178 (= _let_44 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_44 _let_132) _let_81)) _let_35)))) (let ((_let_179 (= _let_42 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_42 _let_132) _let_81)) _let_35)))) (let ((_let_180 (= _let_28 (tptp.double_divide (tptp.double_divide _let_137 (tptp.double_divide (tptp.double_divide _let_28 _let_138) _let_81)) _let_35)))) (let ((_let_181 (= _let_25 (tptp.double_divide (tptp.double_divide _let_125 (tptp.double_divide (tptp.double_divide _let_25 _let_126) _let_81)) _let_35)))) (let ((_let_182 (= _let_22 (tptp.double_divide (tptp.double_divide _let_119 (tptp.double_divide (tptp.double_divide _let_22 _let_120) _let_81)) _let_35)))) (let ((_let_183 (= _let_19 (tptp.double_divide (tptp.double_divide _let_113 (tptp.double_divide (tptp.double_divide _let_19 _let_114) _let_81)) _let_35)))) (let ((_let_184 (tptp.double_divide _let_47 _let_169))) (let ((_let_185 (tptp.double_divide _let_184 _let_171))) (let ((_let_186 (tptp.double_divide _let_28 _let_185))) (let ((_let_187 (= _let_47 (tptp.double_divide _let_186 _let_35)))) (let ((_let_188 (tptp.double_divide _let_46 _let_169))) (let ((_let_189 (tptp.double_divide _let_28 (tptp.double_divide _let_188 _let_171)))) (let ((_let_190 (= _let_46 (tptp.double_divide _let_189 _let_35)))) (let ((_let_191 (tptp.double_divide _let_26 tptp.identity))) (let ((_let_192 (tptp.double_divide _let_191 _let_169))) (let ((_let_193 (tptp.double_divide _let_192 _let_171))) (let ((_let_194 (tptp.double_divide _let_28 _let_193))) (let ((_let_195 (= _let_191 (tptp.double_divide _let_194 _let_35)))) (let ((_let_196 (= _let_41 (tptp.double_divide (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_41 _let_169) _let_171)) _let_35)))) (let ((_let_197 (tptp.double_divide _let_81 tptp.identity))) (let ((_let_198 (= _let_36 (tptp.double_divide (tptp.double_divide _let_37 (tptp.double_divide _let_151 _let_197)) _let_35)))) (let ((_let_199 (= _let_151 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_151 _let_132) _let_81)) _let_35)))) (let ((_let_200 (= _let_149 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_149 _let_132) _let_81)) _let_35)))) (let ((_let_201 (tptp.double_divide (tptp.double_divide _let_144 _let_132) _let_81))) (let ((_let_202 (tptp.double_divide _let_131 _let_201))) (let ((_let_203 (= _let_144 (tptp.double_divide _let_202 _let_35)))) (let ((_let_204 (tptp.double_divide (tptp.double_divide _let_146 _let_132) _let_81))) (let ((_let_205 (tptp.double_divide _let_131 _let_204))) (let ((_let_206 (= _let_146 (tptp.double_divide _let_205 _let_35)))) (let ((_let_207 (tptp.double_divide _let_142 _let_197))) (let ((_let_208 (tptp.double_divide _let_46 _let_207))) (let ((_let_209 (= _let_44 (tptp.double_divide _let_208 _let_35)))) (let ((_let_210 (= _let_137 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_137 _let_132) _let_81)) _let_35)))) (let ((_let_211 (= _let_129 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_129 _let_132) _let_81)) _let_35)))) (let ((_let_212 (tptp.double_divide _let_111 tptp.identity))) (let ((_let_213 (tptp.double_divide _let_111 (tptp.double_divide (tptp.double_divide _let_59 _let_212) _let_35)))) (let ((_let_214 (= _let_59 (tptp.double_divide _let_213 _let_35)))) (let ((_let_215 (tptp.double_divide _let_111 (tptp.double_divide (tptp.double_divide _let_65 _let_212) _let_35)))) (let ((_let_216 (= _let_65 (tptp.double_divide _let_215 _let_35)))) (let ((_let_217 (= _let_91 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_91 _let_132) _let_81)) _let_35)))) (let ((_let_218 (= _let_85 (tptp.double_divide (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_85 _let_132) _let_81)) _let_35)))) (let ((_let_219 (tptp.inverse _let_46))) (let ((_let_220 (= (tptp.double_divide _let_46 tptp.identity) _let_219))) (let ((_let_221 (tptp.inverse _let_50))) (let ((_let_222 (tptp.double_divide _let_50 tptp.identity))) (let ((_let_223 (= _let_222 _let_221))) (let ((_let_224 (= tptp.identity (tptp.double_divide _let_20 _let_159)))) (let ((_let_225 (= tptp.identity (tptp.double_divide _let_23 _let_162)))) (let ((_let_226 (tptp.double_divide tptp.a4 tptp.b4))) (let ((_let_227 (tptp.double_divide _let_226 tptp.identity))) (let ((_let_228 (tptp.inverse _let_227))) (let ((_let_229 (tptp.double_divide _let_227 _let_228))) (let ((_let_230 (= tptp.identity _let_229))) (let ((_let_231 (tptp.double_divide _let_228 tptp.identity))) (let ((_let_232 (= _let_25 (tptp.double_divide (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_25 _let_229) _let_231)) _let_35)))) (let ((_let_233 (= _let_19 (tptp.double_divide (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_19 _let_229) _let_231)) _let_35)))) (let ((_let_234 (= _let_29 (tptp.double_divide (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_29 _let_229) _let_231)) _let_35)))) (let ((_let_235 (= _let_26 (tptp.double_divide (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_26 _let_229) _let_231)) _let_35)))) (let ((_let_236 (tptp.double_divide _let_153 tptp.identity))) (let ((_let_237 (tptp.double_divide (tptp.double_divide _let_61 _let_154) _let_236))) (let ((_let_238 (tptp.double_divide _let_33 _let_237))) (let ((_let_239 (= _let_61 (tptp.double_divide _let_238 _let_35)))) (let ((_let_240 (tptp.double_divide _let_33 (tptp.double_divide (tptp.double_divide _let_58 _let_154) _let_236)))) (let ((_let_241 (= _let_58 (tptp.double_divide _let_240 _let_35)))) (let ((_let_242 (tptp.double_divide (tptp.double_divide _let_28 _let_51) _let_222))) (let ((_let_243 (tptp.double_divide tptp.a1 _let_242))) (let ((_let_244 (= _let_28 (tptp.double_divide _let_243 _let_35)))) (let ((_let_245 (= _let_146 (tptp.double_divide (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_146 _let_229) _let_231)) _let_35)))) (let ((_let_246 (tptp.double_divide _let_136 tptp.identity))) (let ((_let_247 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_33 _let_137) _let_246)))) (let ((_let_248 (= _let_33 (tptp.double_divide _let_247 _let_35)))) (let ((_let_249 (tptp.double_divide (tptp.double_divide _let_104 _let_111) _let_35))) (let ((_let_250 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_33 (tptp.double_divide _let_31 _let_249)) (tptp.double_divide _let_249 tptp.identity))))) (let ((_let_251 (= _let_33 (tptp.double_divide _let_250 _let_35)))) (let ((_let_252 (tptp.double_divide tptp.a3 tptp.identity))) (let ((_let_253 (tptp.double_divide _let_55 _let_19))) (let ((_let_254 (tptp.double_divide _let_253 _let_252))) (let ((_let_255 (tptp.double_divide tptp.b3 _let_254))) (let ((_let_256 (= _let_55 (tptp.double_divide _let_255 _let_35)))) (let ((_let_257 (tptp.double_divide _let_55 _let_22))) (let ((_let_258 (tptp.double_divide _let_5 (tptp.double_divide _let_257 _let_252)))) (let ((_let_259 (= _let_55 (tptp.double_divide _let_258 _let_35)))) (let ((_let_260 (tptp.double_divide _let_5 (tptp.double_divide (tptp.double_divide _let_23 _let_22) _let_252)))) (let ((_let_261 (= _let_23 (tptp.double_divide _let_260 _let_35)))) (let ((_let_262 (tptp.double_divide tptp.b3 tptp.identity))) (let ((_let_263 (tptp.double_divide tptp.c3 (tptp.double_divide (tptp.double_divide _let_26 _let_25) _let_262)))) (let ((_let_264 (= _let_26 (tptp.double_divide _let_263 _let_35)))) (let ((_let_265 (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_145 _let_229) _let_231)))) (let ((_let_266 (= _let_145 (tptp.double_divide _let_265 _let_35)))) (let ((_let_267 (= _let_208 (tptp.double_divide (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_208 _let_229) _let_231)) _let_35)))) (let ((_let_268 (tptp.double_divide _let_51 _let_169))) (let ((_let_269 (tptp.double_divide (tptp.double_divide _let_268 _let_137) _let_246))) (let ((_let_270 (tptp.double_divide _let_31 _let_269))) (let ((_let_271 (= _let_268 (tptp.double_divide _let_270 _let_35)))) (let ((_let_272 (tptp.double_divide _let_171 tptp.identity))) (let ((_let_273 (tptp.double_divide _let_59 _let_169))) (let ((_let_274 (tptp.double_divide _let_28 (tptp.double_divide _let_273 _let_171)))) (let ((_let_275 (tptp.double_divide _let_274 _let_272))) (let ((_let_276 (tptp.double_divide _let_273 _let_275))) (let ((_let_277 (= _let_28 (tptp.double_divide _let_276 _let_35)))) (let ((_let_278 (= _let_274 (tptp.double_divide (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_274 _let_229) _let_231)) _let_35)))) (let ((_let_279 (tptp.double_divide _let_65 _let_169))) (let ((_let_280 (tptp.double_divide _let_28 (tptp.double_divide _let_279 _let_171)))) (let ((_let_281 (tptp.double_divide _let_279 (tptp.double_divide _let_280 _let_272)))) (let ((_let_282 (= _let_28 (tptp.double_divide _let_281 _let_35)))) (let ((_let_283 (= _let_280 (tptp.double_divide (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_280 _let_229) _let_231)) _let_35)))) (let ((_let_284 (tptp.double_divide _let_50 _let_169))) (let ((_let_285 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_284 _let_137) _let_246)))) (let ((_let_286 (tptp.double_divide _let_285 _let_35))) (let ((_let_287 (= _let_284 _let_286))) (let ((_let_288 (tptp.double_divide _let_192 _let_137))) (let ((_let_289 (tptp.double_divide _let_288 _let_246))) (let ((_let_290 (tptp.double_divide _let_31 _let_289))) (let ((_let_291 (= _let_192 (tptp.double_divide _let_290 _let_35)))) (let ((_let_292 (= _let_194 (tptp.double_divide (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_194 _let_229) _let_231)) _let_35)))) (let ((_let_293 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_188 _let_137) _let_246)))) (let ((_let_294 (tptp.double_divide _let_293 _let_35))) (let ((_let_295 (= _let_188 _let_294))) (let ((_let_296 (= _let_189 (tptp.double_divide (tptp.double_divide _let_227 (tptp.double_divide (tptp.double_divide _let_189 _let_229) _let_231)) _let_35)))) (let ((_let_297 (tptp.double_divide _let_184 _let_137))) (let ((_let_298 (tptp.double_divide _let_297 _let_246))) (let ((_let_299 (tptp.double_divide _let_31 _let_298))) (let ((_let_300 (= _let_184 (tptp.double_divide _let_299 _let_35)))) (let ((_let_301 (= (tptp.multiply _let_204 _let_131) (tptp.double_divide _let_205 tptp.identity)))) (let ((_let_302 (= (tptp.multiply _let_201 _let_131) (tptp.double_divide _let_202 tptp.identity)))) (let ((_let_303 (= (tptp.double_divide _let_145 tptp.identity) (tptp.inverse _let_145)))) (let ((_let_304 (= tptp.identity (tptp.double_divide _let_46 _let_219)))) (let ((_let_305 (tptp.double_divide _let_50 _let_221))) (let ((_let_306 (= tptp.identity _let_305))) (let ((_let_307 (tptp.double_divide _let_221 tptp.identity))) (let ((_let_308 (= _let_33 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_33 _let_305) _let_307)) _let_35)))) (let ((_let_309 (= _let_25 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_25 _let_305) _let_307)) _let_35)))) (let ((_let_310 (= _let_22 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_22 _let_305) _let_307)) _let_35)))) (let ((_let_311 (= _let_29 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_29 _let_305) _let_307)) _let_35)))) (let ((_let_312 (tptp.double_divide (tptp.double_divide _let_54 _let_169) _let_171))) (let ((_let_313 (tptp.double_divide _let_312 tptp.identity))) (let ((_let_314 (tptp.double_divide _let_28 _let_312))) (let ((_let_315 (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_64 _let_314) _let_313)))) (let ((_let_316 (= _let_64 (tptp.double_divide _let_315 _let_35)))) (let ((_let_317 (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_58 _let_314) _let_313)))) (let ((_let_318 (= _let_58 (tptp.double_divide _let_317 _let_35)))) (let ((_let_319 (tptp.double_divide _let_207 tptp.identity))) (let ((_let_320 (tptp.double_divide _let_46 (tptp.double_divide (tptp.double_divide _let_19 _let_208) _let_319)))) (let ((_let_321 (= _let_19 (tptp.double_divide _let_320 _let_35)))) (let ((_let_322 (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_40 _let_314) _let_313)))) (let ((_let_323 (= _let_40 (tptp.double_divide _let_322 _let_35)))) (let ((_let_324 (tptp.double_divide _let_193 tptp.identity))) (let ((_let_325 (tptp.double_divide _let_25 _let_194))) (let ((_let_326 (tptp.double_divide _let_325 _let_324))) (let ((_let_327 (tptp.double_divide _let_28 _let_326))) (let ((_let_328 (= _let_25 (tptp.double_divide _let_327 _let_35)))) (let ((_let_329 (tptp.double_divide (tptp.double_divide _let_160 _let_169) _let_171))) (let ((_let_330 (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_19 (tptp.double_divide _let_28 _let_329)) (tptp.double_divide _let_329 tptp.identity))))) (let ((_let_331 (= _let_19 (tptp.double_divide _let_330 _let_35)))) (let ((_let_332 (= _let_47 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_47 _let_305) _let_307)) _let_35)))) (let ((_let_333 (tptp.double_divide (tptp.double_divide _let_111 _let_169) _let_171))) (let ((_let_334 (tptp.double_divide _let_333 tptp.identity))) (let ((_let_335 (tptp.double_divide _let_28 _let_333))) (let ((_let_336 (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_42 _let_335) _let_334)))) (let ((_let_337 (= _let_42 (tptp.double_divide _let_336 _let_35)))) (let ((_let_338 (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_59 _let_335) _let_334)))) (let ((_let_339 (= _let_59 (tptp.double_divide _let_338 _let_35)))) (let ((_let_340 (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_65 _let_335) _let_334)))) (let ((_let_341 (= _let_65 (tptp.double_divide _let_340 _let_35)))) (let ((_let_342 (tptp.double_divide _let_184 (tptp.double_divide _let_186 _let_272)))) (let ((_let_343 (tptp.double_divide _let_342 (tptp.double_divide (tptp.double_divide _let_273 (tptp.double_divide _let_342 _let_35)) _let_81)))) (let ((_let_344 (= _let_273 (tptp.double_divide _let_343 _let_35)))) (let ((_let_345 (= _let_50 (tptp.double_divide (tptp.double_divide _let_285 (tptp.double_divide (tptp.double_divide _let_50 _let_286) _let_81)) _let_35)))) (let ((_let_346 (= _let_46 (tptp.double_divide (tptp.double_divide _let_293 (tptp.double_divide (tptp.double_divide _let_46 _let_294) _let_81)) _let_35)))) (let ((_let_347 (tptp.double_divide _let_185 _let_305))) (let ((_let_348 (tptp.double_divide _let_50 (tptp.double_divide _let_347 _let_307)))) (let ((_let_349 (= _let_185 (tptp.double_divide _let_348 _let_35)))) (let ((_let_350 (tptp.double_divide _let_193 _let_305))) (let ((_let_351 (tptp.double_divide _let_50 (tptp.double_divide _let_350 _let_307)))) (let ((_let_352 (= _let_193 (tptp.double_divide _let_351 _let_35)))) (let ((_let_353 (tptp.double_divide _let_136 (tptp.double_divide _let_298 _let_35)))) (let ((_let_354 (= _let_297 (tptp.double_divide _let_353 _let_35)))) (let ((_let_355 (tptp.double_divide _let_246 tptp.identity))) (let ((_let_356 (tptp.double_divide _let_297 (tptp.double_divide _let_299 _let_355)))) (let ((_let_357 (= _let_31 (tptp.double_divide _let_356 _let_35)))) (let ((_let_358 (= _let_299 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_299 _let_305) _let_307)) _let_35)))) (let ((_let_359 (tptp.double_divide _let_136 (tptp.double_divide _let_289 _let_35)))) (let ((_let_360 (= _let_288 (tptp.double_divide _let_359 _let_35)))) (let ((_let_361 (tptp.double_divide _let_288 (tptp.double_divide _let_290 _let_355)))) (let ((_let_362 (= _let_31 (tptp.double_divide _let_361 _let_35)))) (let ((_let_363 (= _let_290 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_290 _let_305) _let_307)) _let_35)))) (let ((_let_364 (= _let_281 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_281 _let_305) _let_307)) _let_35)))) (let ((_let_365 (= _let_276 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_276 _let_305) _let_307)) _let_35)))) (let ((_let_366 (tptp.double_divide tptp.a3 _let_305))) (let ((_let_367 (tptp.double_divide _let_50 (tptp.double_divide _let_366 _let_307)))) (let ((_let_368 (tptp.double_divide _let_367 _let_35))) (let ((_let_369 (= tptp.a3 _let_368))) (let ((_let_370 (tptp.double_divide _let_252 tptp.identity))) (let ((_let_371 (tptp.double_divide _let_46 _let_19))) (let ((_let_372 (tptp.double_divide _let_371 (tptp.double_divide (tptp.double_divide tptp.b3 (tptp.double_divide _let_371 _let_252)) _let_370)))) (let ((_let_373 (= tptp.b3 (tptp.double_divide _let_372 _let_35)))) (let ((_let_374 (tptp.double_divide _let_20 _let_19))) (let ((_let_375 (tptp.double_divide _let_374 _let_252))) (let ((_let_376 (tptp.double_divide _let_374 (tptp.double_divide (tptp.double_divide tptp.b3 _let_375) _let_370)))) (let ((_let_377 (= tptp.b3 (tptp.double_divide _let_376 _let_35)))) (let ((_let_378 (tptp.double_divide _let_5 _let_375))) (let ((_let_379 (tptp.double_divide _let_374 (tptp.double_divide _let_378 _let_370)))) (let ((_let_380 (= _let_5 (tptp.double_divide _let_379 _let_35)))) (let ((_let_381 (= _let_260 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_260 _let_305) _let_307)) _let_35)))) (let ((_let_382 (tptp.double_divide _let_55 _let_25))) (let ((_let_383 (tptp.double_divide _let_382 _let_262))) (let ((_let_384 (tptp.double_divide tptp.b3 (tptp.double_divide _let_383 _let_35)))) (let ((_let_385 (= _let_382 (tptp.double_divide _let_384 _let_35)))) (let ((_let_386 (tptp.double_divide _let_257 (tptp.double_divide _let_258 _let_370)))) (let ((_let_387 (= _let_5 (tptp.double_divide _let_386 _let_35)))) (let ((_let_388 (= _let_258 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_258 _let_305) _let_307)) _let_35)))) (let ((_let_389 (tptp.double_divide tptp.a3 (tptp.double_divide _let_254 _let_35)))) (let ((_let_390 (tptp.double_divide _let_389 _let_35))) (let ((_let_391 (= _let_253 _let_390))) (let ((_let_392 (tptp.double_divide _let_255 _let_370))) (let ((_let_393 (tptp.double_divide _let_253 _let_392))) (let ((_let_394 (tptp.double_divide _let_393 _let_35))) (let ((_let_395 (= tptp.b3 _let_394))) (let ((_let_396 (= _let_255 (tptp.double_divide (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide _let_255 _let_305) _let_307)) _let_35)))) (let ((_let_397 (tptp.inverse tptp.a3))) (let ((_let_398 (= _let_252 _let_397))) (let ((_let_399 (tptp.inverse tptp.b3))) (let ((_let_400 (= _let_262 _let_399))) (let ((_let_401 (tptp.inverse _let_193))) (let ((_let_402 (= _let_324 _let_401))) (let ((_let_403 (tptp.inverse _let_185))) (let ((_let_404 (tptp.double_divide _let_185 tptp.identity))) (let ((_let_405 (= _let_404 _let_403))) (let ((_let_406 (tptp.double_divide _let_65 _let_102))) (let ((_let_407 (tptp.inverse _let_406))) (let ((_let_408 (tptp.double_divide _let_406 _let_407))) (let ((_let_409 (= tptp.identity _let_408))) (let ((_let_410 (tptp.double_divide _let_407 tptp.identity))) (let ((_let_411 (= tptp.a1 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide tptp.a1 _let_408) _let_410)) _let_35)))) (let ((_let_412 (tptp.double_divide (tptp.double_divide tptp.c3 _let_394) _let_81))) (let ((_let_413 (tptp.double_divide _let_393 _let_412))) (let ((_let_414 (= tptp.c3 (tptp.double_divide _let_413 _let_35)))) (let ((_let_415 (= _let_25 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_25 _let_408) _let_410)) _let_35)))) (let ((_let_416 (tptp.double_divide _let_367 (tptp.double_divide (tptp.double_divide tptp.b3 _let_368) _let_81)))) (let ((_let_417 (= tptp.b3 (tptp.double_divide _let_416 _let_35)))) (let ((_let_418 (= _let_19 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_19 _let_408) _let_410)) _let_35)))) (let ((_let_419 (= _let_26 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_26 _let_408) _let_410)) _let_35)))) (let ((_let_420 (= _let_20 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_20 _let_408) _let_410)) _let_35)))) (let ((_let_421 (tptp.double_divide (tptp.double_divide _let_19 _let_243) (tptp.double_divide _let_242 tptp.identity)))) (let ((_let_422 (tptp.double_divide tptp.a1 _let_421))) (let ((_let_423 (= _let_19 (tptp.double_divide _let_422 _let_35)))) (let ((_let_424 (tptp.double_divide (tptp.double_divide _let_279 _let_137) _let_246))) (let ((_let_425 (tptp.double_divide _let_31 (tptp.double_divide (tptp.double_divide _let_19 (tptp.double_divide _let_31 _let_424)) (tptp.double_divide _let_424 tptp.identity))))) (let ((_let_426 (= _let_19 (tptp.double_divide _let_425 _let_35)))) (let ((_let_427 (tptp.double_divide _let_131 (tptp.double_divide (tptp.double_divide _let_112 _let_132) _let_81)))) (let ((_let_428 (tptp.double_divide (tptp.double_divide tptp.a1 (tptp.double_divide _let_427 _let_35)) _let_81))) (let ((_let_429 (tptp.double_divide _let_428 tptp.identity))) (let ((_let_430 (tptp.double_divide _let_427 _let_428))) (let ((_let_431 (tptp.double_divide _let_427 (tptp.double_divide (tptp.double_divide _let_33 _let_430) _let_429)))) (let ((_let_432 (= _let_33 (tptp.double_divide _let_431 _let_35)))) (let ((_let_433 (tptp.double_divide _let_226 _let_33))) (let ((_let_434 (tptp.double_divide _let_433 _let_39))) (let ((_let_435 (tptp.double_divide tptp.a1 _let_434))) (let ((_let_436 (tptp.double_divide (tptp.double_divide _let_226 _let_435) (tptp.double_divide _let_434 tptp.identity)))) (let ((_let_437 (tptp.double_divide _let_436 tptp.identity))) (let ((_let_438 (tptp.double_divide tptp.a1 _let_436))) (let ((_let_439 (tptp.double_divide tptp.a1 (tptp.double_divide (tptp.double_divide _let_33 _let_438) _let_437)))) (let ((_let_440 (= _let_33 (tptp.double_divide _let_439 _let_35)))) (let ((_let_441 (tptp.double_divide _let_427 (tptp.double_divide (tptp.double_divide _let_62 _let_430) _let_429)))) (let ((_let_442 (= _let_62 (tptp.double_divide _let_441 _let_35)))) (let ((_let_443 (tptp.double_divide _let_33 (tptp.double_divide (tptp.double_divide _let_23 _let_238) (tptp.double_divide _let_237 tptp.identity))))) (let ((_let_444 (= _let_23 (tptp.double_divide _let_443 _let_35)))) (let ((_let_445 (tptp.double_divide _let_186 _let_229))) (let ((_let_446 (tptp.double_divide tptp.a1 (tptp.double_divide (tptp.double_divide _let_445 _let_438) _let_437)))) (let ((_let_447 (= _let_445 (tptp.double_divide _let_446 _let_35)))) (let ((_let_448 (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide tptp.a3 _let_408) _let_410)))) (let ((_let_449 (= tptp.a3 (tptp.double_divide _let_448 _let_35)))) (let ((_let_450 (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide tptp.b3 _let_408) _let_410)))) (let ((_let_451 (= tptp.b3 (tptp.double_divide _let_450 _let_35)))) (let ((_let_452 (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_404 _let_408) _let_410)))) (let ((_let_453 (= _let_404 (tptp.double_divide _let_452 _let_35)))) (let ((_let_454 (tptp.double_divide _let_189 _let_272))) (let ((_let_455 (= _let_454 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_454 _let_408) _let_410)) _let_35)))) (let ((_let_456 (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_324 _let_408) _let_410)))) (let ((_let_457 (= _let_324 (tptp.double_divide _let_456 _let_35)))) (let ((_let_458 (= _let_275 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_275 _let_408) _let_410)) _let_35)))) (let ((_let_459 (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_254 _let_408) _let_410)))) (let ((_let_460 (tptp.double_divide _let_459 _let_35))) (let ((_let_461 (= _let_254 _let_460))) (let ((_let_462 (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_262 _let_408) _let_410)))) (let ((_let_463 (= _let_262 (tptp.double_divide _let_462 _let_35)))) (let ((_let_464 (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_252 _let_408) _let_410)))) (let ((_let_465 (= _let_252 (tptp.double_divide _let_464 _let_35)))) (let ((_let_466 (tptp.double_divide _let_252 (tptp.double_divide _let_392 _let_35)))) (let ((_let_467 (= _let_255 (tptp.double_divide _let_466 _let_35)))) (let ((_let_468 (= _let_393 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_393 _let_408) _let_410)) _let_35)))) (let ((_let_469 (tptp.double_divide _let_254 (tptp.double_divide (tptp.double_divide tptp.a3 (tptp.double_divide _let_254 tptp.identity)) _let_35)))) (let ((_let_470 (= tptp.a3 (tptp.double_divide _let_469 _let_35)))) (let ((_let_471 (= _let_389 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_389 _let_408) _let_410)) _let_35)))) (let ((_let_472 (= _let_386 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_386 _let_408) _let_410)) _let_35)))) (let ((_let_473 (tptp.double_divide _let_383 (tptp.double_divide (tptp.double_divide tptp.b3 (tptp.double_divide _let_383 tptp.identity)) _let_35)))) (let ((_let_474 (= tptp.b3 (tptp.double_divide _let_473 _let_35)))) (let ((_let_475 (tptp.double_divide _let_370 tptp.identity))) (let ((_let_476 (tptp.double_divide _let_379 _let_475))) (let ((_let_477 (tptp.double_divide _let_378 _let_476))) (let ((_let_478 (= _let_374 (tptp.double_divide _let_477 _let_35)))) (let ((_let_479 (= _let_379 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_379 _let_408) _let_410)) _let_35)))) (let ((_let_480 (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_49 _let_154) _let_314) _let_313)))) (let ((_let_481 (tptp.double_divide _let_480 _let_35))) (let ((_let_482 (tptp.double_divide tptp.b3 _let_305))) (let ((_let_483 (tptp.double_divide _let_480 (tptp.double_divide (tptp.double_divide _let_482 _let_481) _let_81)))) (let ((_let_484 (tptp.double_divide _let_483 _let_35))) (let ((_let_485 (= _let_482 _let_484))) (let ((_let_486 (tptp.double_divide _let_480 (tptp.double_divide (tptp.double_divide _let_366 _let_481) _let_81)))) (let ((_let_487 (tptp.double_divide _let_486 _let_35))) (let ((_let_488 (= _let_366 _let_487))) (let ((_let_489 (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_367 _let_408) _let_410)))) (let ((_let_490 (= _let_367 (tptp.double_divide _let_489 _let_35)))) (let ((_let_491 (tptp.double_divide _let_274 _let_208))) (let ((_let_492 (tptp.double_divide _let_389 (tptp.double_divide (tptp.double_divide _let_491 _let_390) _let_81)))) (let ((_let_493 (= _let_491 (tptp.double_divide _let_492 _let_35)))) (let ((_let_494 (tptp.double_divide _let_355 tptp.identity))) (let ((_let_495 (= _let_288 (tptp.double_divide (tptp.double_divide _let_290 (tptp.double_divide _let_361 _let_494)) _let_35)))) (let ((_let_496 (= _let_361 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_361 _let_408) _let_410)) _let_35)))) (let ((_let_497 (= _let_359 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_359 _let_408) _let_410)) _let_35)))) (let ((_let_498 (tptp.double_divide _let_189 _let_208))) (let ((_let_499 (tptp.double_divide _let_389 (tptp.double_divide (tptp.double_divide _let_498 _let_390) _let_81)))) (let ((_let_500 (= _let_498 (tptp.double_divide _let_499 _let_35)))) (let ((_let_501 (= _let_297 (tptp.double_divide (tptp.double_divide _let_299 (tptp.double_divide _let_356 _let_494)) _let_35)))) (let ((_let_502 (= _let_356 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_356 _let_408) _let_410)) _let_35)))) (let ((_let_503 (tptp.double_divide _let_480 (tptp.double_divide (tptp.double_divide _let_350 _let_481) _let_81)))) (let ((_let_504 (tptp.double_divide _let_503 _let_35))) (let ((_let_505 (= _let_350 _let_504))) (let ((_let_506 (= _let_351 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_351 _let_408) _let_410)) _let_35)))) (let ((_let_507 (tptp.double_divide _let_480 (tptp.double_divide (tptp.double_divide _let_347 _let_481) _let_81)))) (let ((_let_508 (tptp.double_divide _let_507 _let_35))) (let ((_let_509 (= _let_347 _let_508))) (let ((_let_510 (= _let_348 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_348 _let_408) _let_410)) _let_35)))) (let ((_let_511 (tptp.double_divide _let_33 _let_194))) (let ((_let_512 (tptp.double_divide _let_511 _let_324))) (let ((_let_513 (tptp.double_divide _let_193 (tptp.double_divide _let_512 _let_35)))) (let ((_let_514 (= _let_511 (tptp.double_divide _let_513 _let_35)))) (let ((_let_515 (tptp.double_divide _let_193 (tptp.double_divide _let_326 _let_35)))) (let ((_let_516 (= _let_325 (tptp.double_divide _let_515 _let_35)))) (let ((_let_517 (= _let_327 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_327 _let_408) _let_410)) _let_35)))) (let ((_let_518 (= _let_320 (tptp.double_divide (tptp.double_divide _let_406 (tptp.double_divide (tptp.double_divide _let_320 _let_408) _let_410)) _let_35)))) (let ((_let_519 (= (tptp.double_divide _let_404 tptp.identity) (tptp.inverse _let_404)))) (let ((_let_520 (= (tptp.double_divide _let_348 tptp.identity) (tptp.inverse _let_348)))) (let ((_let_521 (= tptp.identity (tptp.double_divide tptp.a3 _let_397)))) (let ((_let_522 (= tptp.identity (tptp.double_divide tptp.b3 _let_399)))) (let ((_let_523 (= tptp.identity (tptp.double_divide _let_193 _let_401)))) (let ((_let_524 (tptp.double_divide _let_185 _let_403))) (let ((_let_525 (= tptp.identity _let_524))) (let ((_let_526 (tptp.double_divide _let_403 tptp.identity))) (let ((_let_527 (= _let_33 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_33 _let_524) _let_526)) _let_35)))) (let ((_let_528 (= _let_22 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_22 _let_524) _let_526)) _let_35)))) (let ((_let_529 (= _let_20 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_20 _let_524) _let_526)) _let_35)))) (let ((_let_530 (= _let_46 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_46 _let_524) _let_526)) _let_35)))) (let ((_let_531 (tptp.double_divide (tptp.double_divide _let_163 _let_169) _let_171))) (let ((_let_532 (tptp.double_divide (tptp.double_divide _let_22 (tptp.double_divide _let_28 _let_531)) (tptp.double_divide _let_531 tptp.identity)))) (let ((_let_533 (tptp.double_divide _let_28 (tptp.double_divide (tptp.double_divide _let_22 (tptp.double_divide _let_28 _let_532)) (tptp.double_divide _let_532 tptp.identity))))) (let ((_let_534 (= _let_22 (tptp.double_divide _let_533 _let_35)))) (let ((_let_535 (= _let_185 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_185 _let_524) _let_526)) _let_35)))) (let ((_let_536 (= _let_193 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_193 _let_524) _let_526)) _let_35)))) (let ((_let_537 (= tptp.b3 (tptp.double_divide (tptp.double_divide _let_459 (tptp.double_divide (tptp.double_divide tptp.b3 _let_460) _let_81)) _let_35)))) (let ((_let_538 (= _let_254 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_254 _let_524) _let_526)) _let_35)))) (let ((_let_539 (= _let_367 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_367 _let_524) _let_526)) _let_35)))) (let ((_let_540 (= _let_185 (tptp.double_divide (tptp.double_divide _let_507 (tptp.double_divide (tptp.double_divide _let_185 _let_508) _let_81)) _let_35)))) (let ((_let_541 (= _let_193 (tptp.double_divide (tptp.double_divide _let_503 (tptp.double_divide (tptp.double_divide _let_193 _let_504) _let_81)) _let_35)))) (let ((_let_542 (= tptp.b3 (tptp.double_divide (tptp.double_divide _let_483 (tptp.double_divide (tptp.double_divide tptp.b3 _let_484) _let_81)) _let_35)))) (let ((_let_543 (= tptp.a3 (tptp.double_divide (tptp.double_divide _let_486 (tptp.double_divide (tptp.double_divide tptp.a3 _let_487) _let_81)) _let_35)))) (let ((_let_544 (tptp.double_divide _let_392 _let_524))) (let ((_let_545 (tptp.double_divide _let_185 (tptp.double_divide _let_544 _let_526)))) (let ((_let_546 (= _let_392 (tptp.double_divide _let_545 _let_35)))) (let ((_let_547 (tptp.double_divide _let_326 _let_524))) (let ((_let_548 (tptp.double_divide _let_185 (tptp.double_divide _let_547 _let_526)))) (let ((_let_549 (= _let_326 (tptp.double_divide _let_548 _let_35)))) (let ((_let_550 (tptp.double_divide _let_326 tptp.identity))) (let ((_let_551 (= _let_193 (tptp.double_divide (tptp.double_divide _let_326 (tptp.double_divide (tptp.double_divide _let_193 _let_550) _let_35)) _let_35)))) (let ((_let_552 (tptp.double_divide _let_512 (tptp.double_divide (tptp.double_divide _let_193 (tptp.double_divide _let_512 tptp.identity)) _let_35)))) (let ((_let_553 (= _let_193 (tptp.double_divide _let_552 _let_35)))) (let ((_let_554 (= _let_499 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_499 _let_524) _let_526)) _let_35)))) (let ((_let_555 (tptp.double_divide _let_491 _let_319))) (let ((_let_556 (= _let_389 (tptp.double_divide (tptp.double_divide _let_555 (tptp.double_divide (tptp.double_divide _let_389 (tptp.double_divide _let_555 tptp.identity)) _let_35)) _let_35)))) (let ((_let_557 (tptp.double_divide _let_379 (tptp.double_divide _let_477 (tptp.double_divide _let_475 tptp.identity))))) (let ((_let_558 (= _let_378 (tptp.double_divide _let_557 _let_35)))) (let ((_let_559 (= _let_477 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_477 _let_524) _let_526)) _let_35)))) (let ((_let_560 (= _let_473 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_473 _let_524) _let_526)) _let_35)))) (let ((_let_561 (tptp.double_divide _let_392 tptp.identity))) (let ((_let_562 (= _let_252 (tptp.double_divide (tptp.double_divide _let_392 (tptp.double_divide (tptp.double_divide _let_252 _let_561) _let_35)) _let_35)))) (let ((_let_563 (tptp.double_divide tptp.c3 (tptp.double_divide (tptp.double_divide _let_359 _let_25) _let_262)))) (let ((_let_564 (tptp.double_divide _let_563 _let_35))) (let ((_let_565 (= _let_359 _let_564))) (let ((_let_566 (= _let_422 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_422 _let_524) _let_526)) _let_35)))) (let ((_let_567 (= _let_416 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_416 _let_524) _let_526)) _let_35)))) (let ((_let_568 (= _let_413 (tptp.double_divide (tptp.double_divide _let_185 (tptp.double_divide (tptp.double_divide _let_413 _let_524) _let_526)) _let_35)))) (let ((_let_569 (tptp.inverse _let_269))) (let ((_let_570 (tptp.double_divide _let_269 _let_569))) (let ((_let_571 (= tptp.identity _let_570))) (let ((_let_572 (tptp.double_divide _let_569 tptp.identity))) (let ((_let_573 (= _let_23 (tptp.double_divide (tptp.double_divide _let_269 (tptp.double_divide (tptp.double_divide _let_23 _let_570) _let_572)) _let_35)))) (let ((_let_574 (= _let_193 (tptp.double_divide (tptp.double_divide _let_269 (tptp.double_divide (tptp.double_divide _let_193 _let_570) _let_572)) _let_35)))) (let ((_let_575 (= _let_279 (tptp.double_divide (tptp.double_divide _let_393 (tptp.double_divide (tptp.double_divide _let_279 _let_413) (tptp.double_divide _let_412 tptp.identity))) _let_35)))) (let ((_let_576 (= tptp.a3 (tptp.double_divide (tptp.double_divide _let_269 (tptp.double_divide (tptp.double_divide tptp.a3 _let_570) _let_572)) _let_35)))) (let ((_let_577 (= _let_324 (tptp.double_divide (tptp.double_divide _let_269 (tptp.double_divide (tptp.double_divide _let_324 _let_570) _let_572)) _let_35)))) (let ((_let_578 (tptp.double_divide _let_421 tptp.identity))) (let ((_let_579 (= _let_491 (tptp.double_divide (tptp.double_divide tptp.a1 (tptp.double_divide (tptp.double_divide _let_491 _let_422) _let_578)) _let_35)))) (let ((_let_580 (= _let_367 (tptp.double_divide (tptp.double_divide tptp.a1 (tptp.double_divide (tptp.double_divide _let_367 _let_422) _let_578)) _let_35)))) (let ((_let_581 (= _let_561 (tptp.double_divide (tptp.double_divide _let_269 (tptp.double_divide (tptp.double_divide _let_561 _let_570) _let_572)) _let_35)))) (let ((_let_582 (= _let_550 (tptp.double_divide (tptp.double_divide _let_269 (tptp.double_divide (tptp.double_divide _let_550 _let_570) _let_572)) _let_35)))) (let ((_let_583 (= _let_476 (tptp.double_divide (tptp.double_divide _let_269 (tptp.double_divide (tptp.double_divide _let_476 _let_570) _let_572)) _let_35)))) (let ((_let_584 (= _let_563 (tptp.double_divide (tptp.double_divide _let_269 (tptp.double_divide (tptp.double_divide _let_563 _let_570) _let_572)) _let_35)))) (let ((_let_585 (tptp.double_divide _let_383 _let_327))) (let ((_let_586 (tptp.double_divide _let_585 _let_550))) (let ((_let_587 (= _let_585 (tptp.double_divide (tptp.double_divide _let_326 (tptp.double_divide _let_586 _let_35)) _let_35)))) (let ((_let_588 (= _let_555 (tptp.double_divide (tptp.double_divide _let_563 (tptp.double_divide (tptp.double_divide _let_555 _let_564) _let_81)) _let_35)))) (let ((_let_589 (= _let_552 (tptp.double_divide (tptp.double_divide _let_269 (tptp.double_divide (tptp.double_divide _let_552 _let_570) _let_572)) _let_35)))) (let ((_let_590 (_let_17))) (let ((_let_591 (ASSUME :args _let_590))) (let ((_let_592 ((tptp.multiply X Y)))) (let ((_let_593 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.a3 tptp.b3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_590)) _let_591 :args (_let_21 false _let_17)))) (let ((_let_594 (_let_16))) (let ((_let_595 (ASSUME :args _let_594))) (let ((_let_596 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_595 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args _let_594)) _let_595 :args (_let_32 false _let_16)))) (let ((_let_597 (_let_15))) (let ((_let_598 (ASSUME :args _let_597))) (let ((_let_599 ((tptp.inverse X)))) (let ((_let_600 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_597)) _let_598 :args (_let_34 false _let_15)))) (let ((_let_601 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Y (tptp.double_divide (tptp.double_divide X (tptp.double_divide (tptp.double_divide Y (tptp.double_divide X Z)) (tptp.double_divide Z tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))) (let ((_let_602 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_603 (_let_601))) (let ((_let_604 ((tptp.double_divide Y (tptp.double_divide X Z))))) (let ((_let_605 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a1 tptp.a1 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_38 false _let_601)))) (let ((_let_606 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a1 tptp.a1 _let_12 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_43 false _let_601)))) (let ((_let_607 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a1 _let_33 _let_12 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_57 false _let_601)))) (let ((_let_608 ((tptp.double_divide Y X)))) (let ((_let_609 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.identity _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_590)) _let_591 :args (_let_69 false _let_17)))) (let ((_let_610 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.identity _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_590)) _let_591 :args (_let_70 false _let_17)))) (let ((_let_611 ((tptp.double_divide X tptp.identity)))) (let ((_let_612 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_595 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_594))) _let_595 :args (_let_72 false _let_16)))) (let ((_let_613 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_595 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_594))) _let_595 :args (_let_80 false _let_16)))) (let ((_let_614 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_55 _let_33 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_83 false _let_601)))) (let ((_let_615 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_104 tptp.a1 _let_39 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_107 false _let_601)))) (let ((_let_616 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_108 tptp.a1 _let_39 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_110 false _let_601)))) (let ((_let_617 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_31 _let_53 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_133 false _let_601)))) (let ((_let_618 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_33 _let_55 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_134 false _let_601)))) (let ((_let_619 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_33 _let_42 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_148 false _let_601)))) (let ((_let_620 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_33 _let_36 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_150 false _let_601)))) (let ((_let_621 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_36 tptp.a1 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_152 false _let_601)))) (let ((_let_622 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_33 _let_37 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_155 false _let_601)))) (let ((_let_623 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.identity _let_67 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_590)) _let_591 :args (_let_156 false _let_17)))) (let ((_let_624 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (_let_35 _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_590)) _let_591 :args (_let_157 false _let_17)))) (let ((_let_625 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_595 :args (_let_67 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_594))) _let_595 :args (_let_158 false _let_16)))) (let ((_let_626 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_597)) _let_598 :args (_let_165 false _let_15)))) (let ((_let_627 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_597)) _let_598 :args (_let_170 false _let_15)))) (let ((_let_628 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_28 _let_67 _let_79 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_174 false _let_601)))) (let ((_let_629 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_131 _let_55 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_177 false _let_601)))) (let ((_let_630 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_131 _let_42 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_179 false _let_601)))) (let ((_let_631 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_28 _let_41 _let_79 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_196 false _let_601)))) (let ((_let_632 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_37 _let_36 _let_81 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_198 false _let_601)))) (let ((_let_633 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_131 _let_151 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_199 false _let_601)))) (let ((_let_634 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_131 _let_149 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_200 false _let_601)))) (let ((_let_635 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_595 :args (_let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_594))) _let_595 :args (_let_223 false _let_16)))) (let ((_let_636 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_31 _let_33 _let_136 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_248 false _let_601)))) (let ((_let_637 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_31 _let_33 _let_249 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_251 false _let_601)))) (let ((_let_638 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (_let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_597)) _let_598 :args (_let_306 false _let_15)))) (let ((_let_639 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_50 _let_33 _let_221 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_308 false _let_601)))) (let ((_let_640 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (_let_406 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_597)) _let_598 :args (_let_409 false _let_15)))) (let ((_let_641 (= tptp.a2 _let_11))) (let ((_let_642 (= tptp.identity _let_13))) (let ((_let_643 (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 _let_103) _let_35)) _let_35)))) (let ((_let_644 (tptp.inverse tptp.a2))) (let ((_let_645 (= tptp.identity (tptp.double_divide tptp.a2 _let_644)))) (let ((_let_646 (= _let_103 _let_644))) (let ((_let_647 (= _let_103 (tptp.double_divide _let_105 _let_35)))) (let ((_let_648 (= _let_11 (tptp.double_divide _let_103 tptp.identity)))) (let ((_let_649 (not _let_200))) (let ((_let_650 (not _let_177))) (let ((_let_651 (not _let_165))) (let ((_let_652 (not _let_150))) (let ((_let_653 (not _let_134))) (let ((_let_654 (not _let_133))) (let ((_let_655 (not _let_83))) (let ((_let_656 (not _let_72))) (let ((_let_657 (not _let_57))) (let ((_let_658 (not _let_34))) (let ((_let_659 (not _let_32))) (let ((_let_660 (and _let_648 _let_32 _let_34 _let_57 _let_647 _let_72 _let_646 _let_83 _let_133 _let_134 _let_150 _let_165 _let_645 _let_177 _let_643 _let_200))) (let ((_let_661 (ASSUME :args (_let_648)))) (let ((_let_662 (APPLY_UF tptp.double_divide))) (let ((_let_663 (ASSUME :args (_let_34)))) (let ((_let_664 (SYMM _let_663))) (let ((_let_665 (ASSUME :args (_let_32)))) (let ((_let_666 (SYMM _let_665))) (let ((_let_667 (REFL :args (tptp.a1)))) (let ((_let_668 (CONG _let_667 _let_666 :args _let_662))) (let ((_let_669 (ASSUME :args (_let_150)))) (let ((_let_670 (SYMM _let_669))) (let ((_let_671 (REFL :args (_let_35)))) (let ((_let_672 (REFL :args (tptp.identity)))) (let ((_let_673 (CONG _let_663 _let_672 :args _let_662))) (let ((_let_674 (REFL :args (_let_36)))) (let ((_let_675 (SYMM _let_673))) (let ((_let_676 (ASSUME :args (_let_72)))) (let ((_let_677 (SYMM _let_676))) (let ((_let_678 (SYMM _let_668))) (let ((_let_679 (CONG _let_678 (TRANS _let_677 _let_675) :args _let_662))) (let ((_let_680 (ASSUME :args (_let_165)))) (let ((_let_681 (SYMM _let_680))) (let ((_let_682 (SYMM _let_681))) (let ((_let_683 (CONG _let_663 (TRANS _let_682 _let_679 (CONG (TRANS _let_668 (TRANS _let_664 _let_682 _let_679 (CONG _let_674 _let_673 :args _let_662))) _let_671 :args _let_662)) :args _let_662))) (let ((_let_684 (TRANS _let_675 _let_683))) (let ((_let_685 (SYMM _let_679))) (let ((_let_686 (ASSUME :args (_let_57)))) (let ((_let_687 (SYMM _let_686))) (let ((_let_688 (REFL 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(SYMM _let_702))) (let ((_let_709 (REFL :args (_let_82)))) (let ((_let_710 (TRANS (CONG _let_709 _let_708 :args _let_662) _let_707))) (let ((_let_711 (REFL :args (_let_131)))) (let ((_let_712 (SYMM _let_710))) (let ((_let_713 (CONG (SYMM _let_690) _let_708 :args _let_662))) (let ((_let_714 (CONG (TRANS (CONG _let_711 (CONG (TRANS (TRANS _let_713 _let_691 _let_670 _let_668) _let_712) _let_697 :args _let_662) :args _let_662) (CONG _let_711 (CONG (TRANS _let_710 (TRANS _let_664 _let_682 _let_679 (CONG _let_705 _let_702 :args _let_662))) _let_697 :args _let_662) :args _let_662)) _let_671 :args _let_662))) (let ((_let_715 (ASSUME :args (_let_200)))) (let ((_let_716 (SYMM _let_715))) (let ((_let_717 (SYMM _let_716))) (let ((_let_718 (SYMM _let_701))) (let ((_let_719 (TRANS _let_699 _let_718 _let_683 _let_717 _let_714 _let_696 _let_694 _let_691 _let_670 _let_668))) (let ((_let_720 (ASSUME :args (_let_647)))) (let ((_let_721 (TRANS (CONG (REFL :args (_let_105)) _let_675 :args _let_662) (SYMM 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(CONG (TRANS (CONG _let_1314 (TRANS (CONG (TRANS (TRANS (CONG _let_1024 (TRANS _let_1313 _let_1311 _let_959) :args _let_662) _let_878 _let_663) _let_712) _let_697 :args _let_662) _let_1110 _let_1108 _let_1106 _let_1102 _let_683 _let_717 _let_714 _let_696 _let_694 _let_691 _let_670 _let_668 _let_664) :args _let_662) (CONG _let_1314 _let_1099 :args _let_662) _let_1315 _let_1313 _let_1311) _let_1090 :args _let_662))) (let ((_let_1317 (ASSUME :args (_let_180)))) (let ((_let_1318 (SYMM _let_1317))) (let ((_let_1319 (SYMM _let_1318))) (let ((_let_1320 (ASSUME :args (_let_178)))) (let ((_let_1321 (CONG _let_970 _let_702 :args _let_662))) (let ((_let_1322 (SYMM _let_1231))) (let ((_let_1323 (TRANS _let_1315 _let_1313 _let_1311))) (let ((_let_1324 (CONG _let_1323 _let_1133 :args _let_662))) (let ((_let_1325 (ASSUME :args (_let_210)))) (let ((_let_1326 (TRANS (SYMM (SYMM _let_1325)) (CONG (CONG _let_711 (TRANS _let_1324 _let_962 _let_1322 _let_968 (CONG _let_1321 _let_1129 :args _let_662)) :args 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(REFL :args (_let_499)))) (let ((_let_1445 (ASSUME :args (_let_554)))) (let ((_let_1446 (TRANS (SYMM (SYMM _let_1445)) (CONG (CONG _let_1152 (CONG (TRANS (TRANS (CONG _let_1444 _let_1121 :args _let_662) (CONG _let_1444 _let_1149 :args _let_662) (SYMM _let_1443) _let_1440) (SYMM _let_1442)) _let_1119 :args _let_662) :args _let_662) _let_671 :args _let_662) (CONG (TRANS (CONG _let_1152 (TRANS (CONG _let_1442 (SYMM _let_1439) :args _let_662) (CONG (TRANS _let_1434 (TRANS _let_1440 _let_1438 _let_1435 (CONG (TRANS _let_1332 (CONG _let_928 (TRANS (SYMM _let_1331) (CONG (TRANS _let_1330 (SYMM _let_1303) _let_1302 (CONG _let_1301 _let_923 :args _let_662)) _let_920 :args _let_662)) :args _let_662)) _let_1090 :args _let_662) _let_1297 _let_1295) (SYMM _let_1304)) _let_1439 :args _let_662) (CONG (TRANS _let_1304 _let_1291) _let_1119 :args _let_662) (SYMM _let_1292) _let_1299) :args _let_662) (SYMM _let_1300)) _let_671 :args _let_662) (CONG (TRANS _let_1300 (CONG _let_1152 (TRANS _let_1298 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:args _let_662))) (let ((_let_1580 (SYMM _let_1579))) (let ((_let_1581 (ASSUME :args (_let_537)))) (let ((_let_1582 (ASSUME :args (_let_461)))) (let ((_let_1583 (SYMM _let_1582))) (let ((_let_1584 (SYMM _let_1583))) (let ((_let_1585 (REFL :args (_let_459)))) (let ((_let_1586 (CONG _let_1585 _let_1090 :args _let_662))) (let ((_let_1587 (REFL :args (_let_254)))) (let ((_let_1588 (CONG _let_1587 _let_1149 :args _let_662))) (let ((_let_1589 (TRANS _let_1588 (CONG (TRANS _let_1584 _let_1586 (CONG _let_1585 (TRANS _let_663 _let_678 _let_669 _let_703 _let_693 _let_695 _let_1098 _let_716 _let_1097 (CONG (TRANS _let_663 (TRANS _let_941 (SYMM _let_1257) (SYMM _let_1266) _let_1268 (CONG _let_1572 _let_1584 :args _let_662))) _let_1129 :args _let_662)) :args _let_662)) _let_671 :args _let_662) (SYMM _let_1581)))) (let ((_let_1590 (CONG (TRANS (CONG _let_1152 (CONG (TRANS (TRANS (CONG _let_1587 _let_1441 :args _let_662) (SYMM _let_1588)) _let_1589 _let_1576) _let_1119 :args _let_662) :args _let_662) 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_let_167 _let_168 _let_170 _let_172 _let_173 _let_174 _let_175 _let_176 _let_177 _let_178 _let_179 _let_180 _let_181 _let_182 _let_183 _let_187 _let_190 _let_195 _let_196 _let_198 _let_199 _let_200 _let_203 _let_206 _let_209 _let_210 _let_211 _let_214 _let_216 _let_217 _let_218 _let_220 _let_223 _let_224 _let_225 _let_230 _let_232 _let_233 _let_234 _let_235 _let_239 _let_241 _let_244 _let_245 _let_248 _let_251 _let_256 _let_259 _let_261 _let_264 _let_266 _let_267 _let_271 _let_277 _let_278 _let_282 _let_283 _let_287 _let_291 _let_292 _let_295 _let_296 _let_300 _let_301 _let_302 _let_303 _let_304 _let_306 _let_308 _let_309 _let_310 _let_311 _let_316 _let_318 _let_321 _let_323 _let_328 _let_331 _let_332 _let_337 _let_339 _let_341 _let_344 _let_345 _let_346 _let_349 _let_352 _let_354 _let_357 _let_358 _let_360 _let_362 _let_363 _let_364 _let_365 _let_369 _let_373 _let_377 _let_380 _let_381 _let_385 _let_387 _let_388 _let_391 _let_395 _let_396 _let_398 _let_400 _let_402 _let_405 _let_409 _let_411 _let_414 _let_415 _let_417 _let_418 _let_419 _let_420 _let_423 _let_426 _let_432 _let_440 _let_442 _let_444 _let_447 _let_449 _let_451 _let_453 _let_455 _let_457 _let_458 _let_461 _let_463 _let_465 _let_467 _let_468 _let_470 _let_471 _let_472 _let_474 _let_478 _let_479 _let_485 _let_488 _let_490 _let_493 _let_495 _let_496 _let_497 _let_500 _let_501 _let_502 _let_505 _let_506 _let_509 _let_510 _let_514 _let_516 _let_517 _let_518 _let_519 _let_520 _let_521 _let_522 _let_523 _let_525 _let_527 _let_528 _let_529 _let_530 _let_534 _let_535 _let_536 _let_537 _let_538 _let_539 _let_540 _let_541 _let_542 _let_543 _let_546 _let_549 _let_551 _let_553 _let_554 _let_556 _let_558 _let_559 _let_560 _let_562 _let_565 _let_566 _let_567 _let_568 _let_571 _let_573 _let_574 _let_575 _let_576 _let_577 _let_579 _let_580 _let_581 _let_582 _let_583 _let_584 _let_587 _let_588 _let_589))) :args (true _let_1082)) :args ((or _let_9 _let_828 (not _let_24) (not _let_27) (not _let_30) _let_659 _let_658 _let_827 _let_826 (not _let_48) (not _let_52) _let_657 (not _let_60) (not _let_63) (not _let_66) _let_825 _let_824 _let_656 (not _let_74) (not _let_76) (not _let_78) _let_823 _let_655 (not _let_86) (not _let_89) (not _let_92) (not _let_94) (not _let_97) (not _let_99) (not _let_101) _let_822 _let_821 (not _let_115) (not _let_118) (not _let_121) (not _let_124) (not _let_127) (not _let_130) _let_654 _let_653 (not _let_139) (not _let_141) (not _let_143) (not _let_147) _let_820 _let_652 _let_819 _let_818 _let_817 _let_816 _let_815 (not _let_161) (not _let_164) _let_651 (not _let_166) (not _let_167) (not _let_168) _let_814 (not _let_172) (not _let_173) _let_813 (not _let_175) (not _let_176) _let_650 (not _let_178) _let_812 (not _let_180) (not _let_181) (not _let_182) (not _let_183) (not _let_187) (not _let_190) (not _let_195) _let_811 _let_810 _let_809 _let_649 (not _let_203) (not _let_206) (not _let_209) (not _let_210) (not _let_211) (not _let_214) (not _let_216) (not _let_217) (not _let_218) (not _let_220) _let_808 (not _let_224) (not _let_225) (not _let_230) (not _let_232) (not _let_233) (not _let_234) (not _let_235) (not _let_239) (not _let_241) (not _let_244) (not _let_245) _let_807 _let_806 (not _let_256) (not _let_259) (not _let_261) (not _let_264) (not _let_266) (not _let_267) (not _let_271) (not _let_277) (not _let_278) (not _let_282) (not _let_283) (not _let_287) (not _let_291) (not _let_292) (not _let_295) (not _let_296) (not _let_300) (not _let_301) (not _let_302) (not _let_303) (not _let_304) _let_805 _let_804 (not _let_309) (not _let_310) (not _let_311) (not _let_316) (not _let_318) (not _let_321) (not _let_323) (not _let_328) (not _let_331) (not _let_332) (not _let_337) (not _let_339) (not _let_341) (not _let_344) (not _let_345) (not _let_346) (not _let_349) (not _let_352) (not _let_354) (not _let_357) (not _let_358) (not _let_360) (not _let_362) (not _let_363) (not _let_364) (not _let_365) (not _let_369) (not _let_373) (not _let_377) (not _let_380) (not _let_381) (not _let_385) (not _let_387) (not _let_388) (not _let_391) (not _let_395) (not _let_396) (not _let_398) (not _let_400) (not _let_402) (not _let_405) _let_803 (not _let_411) (not _let_414) (not _let_415) (not _let_417) (not _let_418) (not _let_419) (not _let_420) (not _let_423) (not _let_426) (not _let_432) (not _let_440) (not _let_442) (not _let_444) (not _let_447) (not _let_449) (not _let_451) (not _let_453) (not _let_455) (not _let_457) (not _let_458) (not _let_461) (not _let_463) (not _let_465) (not _let_467) (not _let_468) (not _let_470) (not _let_471) (not _let_472) (not _let_474) (not _let_478) (not _let_479) (not _let_485) (not _let_488) (not _let_490) (not _let_493) (not _let_495) (not _let_496) (not _let_497) (not _let_500) (not _let_501) (not _let_502) (not _let_505) (not _let_506) (not _let_509) (not _let_510) (not _let_514) (not _let_516) (not _let_517) (not _let_518) (not _let_519) (not _let_520) (not _let_521) (not _let_522) (not _let_523) (not _let_525) (not _let_527) (not _let_528) (not _let_529) (not _let_530) (not _let_534) (not _let_535) (not _let_536) (not _let_537) (not _let_538) (not _let_539) (not _let_540) (not _let_541) (not _let_542) (not _let_543) (not _let_546) (not _let_549) (not _let_551) (not _let_553) (not _let_554) (not _let_556) (not _let_558) (not _let_559) (not _let_560) (not _let_562) (not _let_565) (not _let_566) (not _let_567) (not _let_568) (not _let_571) (not _let_573) (not _let_574) (not _let_575) (not _let_576) (not _let_577) (not _let_579) (not _let_580) (not _let_581) (not _let_582) (not _let_583) (not _let_584) (not _let_587) (not _let_588) (not _let_589)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_269 _let_552 _let_569 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_589 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_563 _let_555 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_588 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_326 _let_585 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_587 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_269 _let_563 _let_569 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_584 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_269 _let_476 _let_569 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_583 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_269 _let_550 _let_569 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_582 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_269 _let_561 _let_569 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_581 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a1 _let_367 _let_421 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_580 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a1 _let_491 _let_421 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_579 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_269 _let_324 _let_569 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_577 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_269 tptp.a3 _let_569 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_576 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_393 _let_279 _let_412 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_575 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_269 _let_193 _let_569 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_574 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_269 _let_23 _let_569 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_573 false _let_601)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_10 _let_4 (not _let_642) (not _let_641)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_829)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_830 _let_831 _let_663 _let_698 _let_680 _let_665 _let_676 _let_715 _let_686 _let_669 _let_706 _let_692 _let_695 _let_877 _let_867 _let_886 _let_897 _let_898 _let_900 _let_904 _let_911 _let_913 _let_915 _let_917 _let_919 _let_921 _let_924 _let_930 _let_933 _let_935 _let_938 _let_941 _let_950 _let_954 _let_958 _let_961 _let_965 _let_968 _let_974 _let_984 _let_987 _let_989 _let_994 _let_999 _let_1007 _let_1009 _let_1013 _let_1004 _let_976 _let_978 _let_1025 _let_943 _let_1036 _let_1043 _let_1048 _let_1050 _let_1051 _let_1052 _let_1053 _let_1058 _let_1059 _let_1067 _let_1068 _let_1069 _let_1071 _let_1072 _let_1080 _let_1081) (SCOPE (TRANS (SYMM (SYMM _let_1081)) (SYMM (SYMM _let_1080)) (CONG _let_1079 _let_840 :args _let_662) (CONG _let_1079 _let_855 :args _let_662) (CONG (TRANS (CONG (SYMM _let_882) (TRANS (SYMM _let_1077) (SYMM _let_1078)) :args _let_662) (CONG (SYMM _let_906) (TRANS _let_1078 _let_1077 (CONG (TRANS _let_1076 _let_1075 _let_1074 _let_1066) (SYMM _let_883) :args _let_662) (CONG (TRANS _let_1069 (CONG _let_1070 _let_673 :args _let_662)) (SYMM _let_903) :args _let_662) (CONG (REFL :args (_let_786)) _let_835 :args _let_662)) :args _let_662)) _let_672 :args _let_662) (CONG _let_1073 _let_852 :args _let_662) (CONG _let_1073 _let_835 :args _let_662) (SYMM _let_1072) (SYMM (SYMM _let_1071)) (CONG (CONG _let_711 (CONG (TRANS (TRANS (CONG _let_1070 _let_835 :args _let_662) (SYMM _let_1069)) (TRANS (SYMM (SYMM _let_1068)) (CONG (REFL :args (_let_766)) _let_840 :args _let_662))) _let_697 :args _let_662) :args _let_662) _let_671 :args _let_662) (SYMM _let_1067) (CONG _let_688 _let_1066 :args _let_662) (CONG _let_688 (TRANS (CONG _let_937 (TRANS (SYMM (SYMM _let_1051)) (CONG (TRANS (CONG _let_940 (TRANS (CONG (TRANS (TRANS (CONG (REFL :args (tptp.a4)) _let_939 :args _let_662) (SYMM (SYMM _let_1050)) (CONG (TRANS (CONG _let_1041 (TRANS (CONG (TRANS (TRANS (CONG _let_1049 _let_951 :args _let_662) (CONG _let_1049 _let_925 :args _let_662) (SYMM _let_1048) _let_694 _let_848 _let_670 _let_668) _let_1035 _let_1019 _let_1034) _let_1033 :args _let_662) _let_1042) :args _let_662) (SYMM _let_1047)) _let_671 :args _let_662) (CONG (TRANS _let_1047 (CONG _let_1041 (TRANS _let_1040 (CONG (TRANS _let_1032 _let_1018 _let_1027 (TRANS _let_678 _let_740 _let_845 _let_693 _let_743 _let_851 _let_736 _let_839 _let_953)) _let_949 :args _let_662)) :args _let_662)) _let_671 :args _let_662) _let_942) _let_664) _let_864 :args _let_662) _let_841 _let_717 _let_862 _let_696 _let_694 _let_848 _let_670 _let_668 _let_664) :args _let_662) (CONG _let_940 _let_925 :args _let_662) _let_939) _let_671 :args _let_662) (SYMM _let_936)) :args _let_662) (CONG _let_937 _let_936 :args _let_662) (SYMM (SYMM _let_935)) (CONG (TRANS (CONG _let_928 (CONG (TRANS (TRANS (CONG _let_934 _let_922 :args _let_662) (CONG _let_934 _let_925 :args _let_662) (SYMM _let_933) (CONG _let_688 _let_902 :args _let_662) _let_918 _let_916 _let_914 _let_912 _let_910 _let_909 _let_907 _let_853 _let_837 _let_832) _let_929) _let_920 :args _let_662) :args _let_662) (SYMM _let_932)) _let_671 :args _let_662) (CONG (TRANS _let_932 (CONG _let_928 (CONG (TRANS _let_927 (TRANS (SYMM _let_866) (CONG _let_865 (TRANS _let_664 _let_923) :args _let_662))) _let_920 :args _let_662) :args _let_662)) _let_671 :args _let_662) (SYMM _let_919) _let_901 _let_899 _let_885 _let_884) :args _let_662) _let_918 _let_916 _let_914 _let_912 _let_910 _let_909 _let_907 _let_853 _let_837 _let_832 (SYMM _let_830)) :args (_let_801 _let_794 _let_34 _let_133 _let_165 _let_32 _let_72 _let_200 _let_57 _let_150 _let_83 _let_134 _let_177 _let_170 _let_785 _let_158 _let_779 _let_797 _let_774 _let_800 _let_784 _let_775 _let_796 _let_763 _let_752 _let_409 _let_759 _let_757 _let_755 _let_750 _let_751 _let_308 _let_306 _let_174 _let_80 _let_70 _let_21 _let_157 _let_198 _let_199 _let_152 _let_107 _let_110 _let_43 _let_148 _let_38 _let_155 _let_179 _let_156 _let_69 _let_196 _let_223 _let_248 _let_251 _let_760 _let_754 _let_748 _let_771 _let_789 _let_798 _let_781 _let_767 _let_795 _let_799 _let_777 _let_788 _let_792 _let_802))) :args (_let_21 _let_802 _let_801 _let_32 _let_34 _let_38 _let_43 _let_57 _let_800 _let_799 _let_69 _let_70 _let_72 _let_798 _let_797 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_let_602 :args (_let_785 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_33 _let_435 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_784 false _let_601)) _let_617 _let_618 _let_619 _let_620 _let_621 _let_622 _let_623 _let_624 _let_625 _let_626 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (_let_764 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_597)) _let_598 :args (_let_781 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (_let_226 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_597)) _let_598 :args (_let_779 false _let_15)) _let_627 _let_628 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_131 _let_776 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_777 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a4 _let_55 tptp.b4 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_760 false _let_601)) _let_638 _let_639 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_28 _let_433 _let_312 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_759 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_28 _let_435 _let_333 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_757 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.b4 _let_744 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_755 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_50 _let_753 _let_221 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_754 false _let_601)) _let_640 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_406 _let_226 _let_407 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_752 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_406 _let_745 _let_407 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_751 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_406 _let_749 _let_407 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_750 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_746 tptp.a4 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_748 false _let_601)) :args (_let_3 false _let_21 false _let_802 false _let_801 false _let_32 false _let_34 false _let_38 false _let_43 false _let_57 false _let_800 false _let_799 false _let_69 false _let_70 false _let_72 false _let_798 false _let_797 false _let_80 false _let_83 false _let_796 false _let_795 false _let_794 false _let_792 false _let_107 false _let_110 false _let_789 false _let_788 false _let_785 false _let_784 false _let_133 false _let_134 false _let_148 false _let_150 false _let_152 false _let_155 false _let_156 false _let_157 false _let_158 false _let_165 false _let_781 false _let_779 false _let_170 false _let_174 false _let_777 false _let_775 false _let_177 false _let_179 false _let_774 false _let_771 false _let_196 false _let_198 false _let_199 false _let_200 false _let_767 false _let_763 false _let_223 false _let_248 false _let_251 false _let_760 false _let_306 false _let_308 false _let_759 false _let_757 false _let_755 false _let_754 false _let_409 false _let_752 false _let_751 false _let_750 false _let_748)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_727)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_728 _let_663 _let_680 _let_665 _let_676 _let_715 _let_686 _let_698 _let_669 _let_706 _let_692 _let_695) (SCOPE (TRANS _let_729 _let_678 _let_740 _let_739 _let_693 _let_743 (CONG (TRANS (CONG _let_711 (CONG (TRANS (TRANS (CONG (TRANS (TRANS _let_694 (SYMM _let_739) _let_670 _let_668) _let_678) _let_741 :args _let_662) _let_733 _let_731 _let_729) (SYMM _let_742)) _let_697 :args _let_662) :args _let_662) (CONG _let_711 (CONG (TRANS _let_742 (TRANS _let_678 _let_740 _let_739 (CONG _let_738 _let_737 :args _let_662))) _let_697 :args _let_662) :args _let_662)) _let_671 :args _let_662) _let_736 _let_735 _let_730 (SYMM _let_728)) :args (_let_726 _let_34 _let_165 _let_32 _let_72 _let_200 _let_57 _let_133 _let_150 _let_83 _let_134 _let_177))) :args (_let_726 _let_32 _let_34 _let_57 _let_72 _let_83 _let_133 _let_134 _let_150 _let_165 _let_177 _let_200))) :args (true _let_727)) :args ((or _let_642 (not _let_726) _let_659 _let_658 _let_657 _let_656 _let_655 _let_654 _let_653 _let_652 _let_651 _let_650 _let_649))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (_let_12 tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_590)) _let_591 :args (_let_726 false _let_17)) _let_596 _let_600 _let_607 _let_612 _let_614 _let_617 _let_618 _let_620 _let_626 _let_629 _let_634 :args (_let_642 false _let_726 false _let_32 false _let_34 false _let_57 false _let_72 false _let_83 false _let_133 false _let_134 false _let_150 false _let_165 false _let_177 false _let_200)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_660)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_661 _let_663 _let_720 _let_665 _let_669 _let_676 _let_680 _let_686 _let_692 _let_695 _let_698 _let_706 _let_715 _let_723 _let_724 _let_725) (SCOPE (TRANS (SYMM (SYMM _let_725)) (CONG (TRANS (TRANS (CONG _let_722 (TRANS (CONG (TRANS (TRANS (CONG _let_722 (SYMM (SYMM _let_724)) :args _let_662) (SYMM _let_723) _let_663) _let_678) _let_671 :args _let_662) _let_685 _let_681 _let_663) :args _let_662) (CONG _let_722 _let_664 :args _let_662)) (SYMM _let_721)) _let_671 :args _let_662) (CONG (REFL :args ((tptp.double_divide _let_105 _let_67))) _let_702 :args _let_662) (CONG _let_721 _let_719 :args _let_662) (CONG (REFL :args (_let_103)) _let_664 :args _let_662) (SYMM _let_661)) :args (_let_648 _let_34 _let_647 _let_32 _let_150 _let_72 _let_165 _let_57 _let_134 _let_177 _let_133 _let_83 _let_200 _let_645 _let_646 _let_643))) :args (_let_648 _let_32 _let_34 _let_57 _let_647 _let_72 _let_646 _let_83 _let_133 _let_134 _let_150 _let_165 _let_645 _let_177 _let_643 _let_200))) :args (true _let_660)) :args ((or _let_641 (not _let_648) _let_659 _let_658 _let_657 (not _let_647) _let_656 (not _let_646) _let_655 _let_654 _let_653 _let_652 _let_651 (not _let_645) _let_650 (not _let_643) _let_649))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.identity tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_590)) _let_591 :args (_let_648 false _let_17)) _let_596 _let_600 _let_607 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a1 _let_103 _let_12 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_647 false _let_601)) _let_612 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_595 :args (tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_594))) _let_595 :args (_let_646 false _let_16)) _let_614 _let_617 _let_618 _let_620 _let_626 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_597)) _let_598 :args (_let_645 false _let_15)) _let_629 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a2 tptp.a2 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_643 false _let_601)) _let_634 :args (_let_641 false _let_648 false _let_32 false _let_34 false _let_57 false _let_647 false _let_72 false _let_646 false _let_83 false _let_133 false _let_134 false _let_150 false _let_165 false _let_645 false _let_177 false _let_643 false _let_200)) :args (_let_10 false _let_3 false _let_642 false _let_641)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (_let_269 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_599)) :args _let_597)) _let_598 :args (_let_571 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_185 _let_413 _let_403 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_568 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_185 _let_416 _let_403 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_567 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_185 _let_422 _let_403 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_566 false 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_46 _let_44 _let_81 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_209 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_131 _let_146 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_206 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_131 _let_144 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_203 false _let_601)) _let_634 _let_633 _let_632 _let_631 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_28 _let_191 _let_79 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_195 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_28 _let_46 _let_79 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_190 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_28 _let_47 _let_79 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_187 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_113 _let_19 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_183 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_119 _let_22 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_182 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_125 _let_25 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_181 false _let_601)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (_let_137 _let_28 _let_35 QUANTIFIERS_INST_E_MATCHING _let_604)) :args _let_603)) _let_602 :args (_let_180 false _let_601)) _let_630 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% 6.42/6.61  )
% 6.42/6.64  % SZS output end Proof for GRP100-1
% 6.42/6.65  % cvc5---1.0.5 exiting
% 6.42/6.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------