TSTP Solution File: GRP066-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP066-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 00:24:14 EDT 2023
% Result : Unsatisfiable 8.86s 9.07s
% Output : Proof 8.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP066-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.05/0.11 % Command : do_cvc5 %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Aug 28 19:46:01 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.39 %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.39 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ThB9ZDXcAD/cvc5---1.0.5_11872.p...
% 0.14/0.39 ------- get file name : TPTP file name is GRP066-1
% 0.14/0.40 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11872.smt2...
% 0.14/0.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 8.86/9.07 % SZS status Unsatisfiable for GRP066-1
% 8.86/9.07 % SZS output start Proof for GRP066-1
% 8.94/9.15 (
% 8.94/9.15 (let ((_let_1 (tptp.multiply tptp.b3 tptp.c3))) (let ((_let_2 (tptp.multiply tptp.a3 _let_1))) (let ((_let_3 (tptp.multiply tptp.a3 tptp.b3))) (let ((_let_4 (tptp.multiply _let_3 tptp.c3))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.multiply tptp.identity tptp.a2))) (let ((_let_8 (tptp.inverse tptp.a1))) (let ((_let_9 (tptp.multiply _let_8 tptp.a1))) (let ((_let_10 (or (not (= _let_9 tptp.identity)) (not (= _let_7 tptp.a2)) _let_6))) (let ((_let_11 (forall ((X $$unsorted)) (= tptp.identity (tptp.divide X X))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.inverse X) (tptp.divide tptp.identity X))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y) (tptp.divide X (tptp.divide tptp.identity Y)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.divide (tptp.divide tptp.identity (tptp.divide X (tptp.divide Y (tptp.divide (tptp.divide (tptp.divide X X) X) Z)))) Z) Y)))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Y (tptp.divide (tptp.divide tptp.identity (tptp.divide X (tptp.divide Y (tptp.divide (tptp.divide (tptp.divide X X) X) Z)))) Z))))) (let ((_let_16 (tptp.divide tptp.identity tptp.c3))) (let ((_let_17 (tptp.divide tptp.identity tptp.identity))) (let ((_let_18 (tptp.divide _let_17 tptp.identity))) (let ((_let_19 (tptp.divide _let_18 tptp.b3))) (let ((_let_20 (tptp.divide tptp.a3 _let_19))) (let ((_let_21 (tptp.divide tptp.identity _let_20))) (let ((_let_22 (tptp.divide (tptp.divide (tptp.divide _let_21 _let_21) _let_21) tptp.b3))) (let ((_let_23 (tptp.divide tptp.identity _let_22))) (let ((_let_24 (tptp.divide _let_21 _let_23))) (let ((_let_25 (tptp.divide _let_18 _let_1))) (let ((_let_26 (tptp.divide tptp.a3 _let_25))) (let ((_let_27 (tptp.divide tptp.identity _let_26))) (let ((_let_28 (tptp.divide tptp.identity _let_27))) (let ((_let_29 (= _let_28 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_24 (tptp.divide _let_28 (tptp.divide (tptp.divide (tptp.divide _let_24 _let_24) _let_24) _let_16)))) _let_16)))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (tptp.divide tptp.a1 tptp.a1))) (let ((_let_32 (tptp.divide _let_31 tptp.a1))) (let ((_let_33 (tptp.divide _let_32 tptp.a1))) (let ((_let_34 (tptp.divide _let_18 tptp.a2))) (let ((_let_35 (tptp.divide tptp.a1 _let_34))) (let ((_let_36 (tptp.divide tptp.identity _let_35))) (let ((_let_37 (tptp.divide _let_36 _let_33))) (let ((_let_38 (tptp.divide _let_32 tptp.a2))) (let ((_let_39 (tptp.divide tptp.identity _let_38))) (let ((_let_40 (tptp.divide (tptp.divide _let_8 _let_8) _let_8))) (let ((_let_41 (tptp.divide tptp.a1 _let_39))) (let ((_let_42 (tptp.divide tptp.identity _let_34))) (let ((_let_43 (tptp.divide tptp.identity tptp.a2))) (let ((_let_44 (tptp.divide tptp.identity (tptp.divide _let_42 (tptp.divide _let_43 (tptp.divide (tptp.divide (tptp.divide _let_42 _let_42) _let_42) _let_41)))))) (let ((_let_45 (tptp.divide _let_8 (tptp.divide _let_44 (tptp.divide _let_40 _let_39))))) (let ((_let_46 (tptp.divide (tptp.divide (tptp.divide _let_45 _let_45) _let_45) _let_37))) (let ((_let_47 (tptp.divide tptp.identity _let_25))) (let ((_let_48 (tptp.divide _let_18 _let_47))) (let ((_let_49 (tptp.divide tptp.identity _let_48))) (let ((_let_50 (tptp.divide (tptp.divide (tptp.divide _let_27 _let_27) _let_27) _let_49))) (let ((_let_51 (tptp.divide tptp.a3 _let_50))) (let ((_let_52 (tptp.divide _let_18 _let_26))) (let ((_let_53 (tptp.divide tptp.identity _let_52))) (let ((_let_54 (tptp.divide tptp.identity (tptp.divide _let_18 _let_53)))) (let ((_let_55 (tptp.divide tptp.identity (tptp.divide _let_54 (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide _let_54 _let_54) _let_54) _let_51)))))) (let ((_let_56 (= _let_55 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_45 (tptp.divide _let_55 _let_46))) _let_37)))) (let ((_let_57 (tptp.divide _let_27 _let_51))) (let ((_let_58 (= _let_54 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_54 (tptp.divide _let_18 _let_57)))) _let_57)))) (let ((_let_59 (tptp.divide _let_18 tptp.c3))) (let ((_let_60 (tptp.divide tptp.identity (tptp.divide tptp.b3 _let_59)))) (let ((_let_61 (tptp.divide (tptp.divide (tptp.divide _let_60 _let_60) _let_60) tptp.c3))) (let ((_let_62 (tptp.divide tptp.identity _let_21))) (let ((_let_63 (tptp.divide _let_62 _let_61))) (let ((_let_64 (tptp.divide _let_60 _let_63))) (let ((_let_65 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_49 (tptp.divide _let_18 _let_64)))))) (let ((_let_66 (= _let_65 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_65 _let_52))) _let_26)))) (let ((_let_67 (tptp.divide _let_3 _let_59))) (let ((_let_68 (tptp.divide tptp.identity _let_67))) (let ((_let_69 (tptp.divide (tptp.divide (tptp.divide _let_68 _let_68) _let_68) tptp.c3))) (let ((_let_70 (tptp.divide tptp.identity _let_69))) (let ((_let_71 (tptp.divide _let_68 _let_70))) (let ((_let_72 (tptp.divide _let_18 _let_67))) (let ((_let_73 (tptp.divide tptp.identity _let_72))) (let ((_let_74 (tptp.divide tptp.identity (tptp.divide _let_18 _let_73)))) (let ((_let_75 (tptp.divide (tptp.divide _let_74 _let_74) _let_74))) (let ((_let_76 (tptp.divide tptp.identity (tptp.divide _let_75 _let_70)))) (let ((_let_77 (tptp.divide tptp.identity _let_73))) (let ((_let_78 (tptp.divide tptp.identity (tptp.divide _let_77 (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide _let_77 _let_77) _let_77) _let_76)))))) (let ((_let_79 (= _let_78 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_78 (tptp.divide _let_18 _let_71)))) _let_71)))) (let ((_let_80 (tptp.divide _let_74 _let_76))) (let ((_let_81 (tptp.divide _let_18 _let_80))) (let ((_let_82 (= _let_77 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_77 _let_81))) _let_80)))) (let ((_let_83 (tptp.divide tptp.identity _let_24))) (let ((_let_84 (tptp.divide _let_83 _let_61))) (let ((_let_85 (tptp.divide (tptp.divide _let_49 _let_49) _let_49))) (let ((_let_86 (tptp.divide tptp.identity (tptp.divide _let_85 _let_84)))) (let ((_let_87 (tptp.divide tptp.identity (tptp.divide _let_49 _let_86)))) (let ((_let_88 (= _let_87 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_45 (tptp.divide _let_87 _let_46))) _let_37)))) (let ((_let_89 (tptp.divide _let_60 _let_84))) (let ((_let_90 (= _let_49 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_49 (tptp.divide _let_18 _let_89)))) _let_89)))) (let ((_let_91 (tptp.divide tptp.identity _let_61))) (let ((_let_92 (tptp.divide _let_60 _let_91))) (let ((_let_93 (tptp.divide tptp.identity (tptp.divide _let_85 _let_91)))) (let ((_let_94 (tptp.divide tptp.identity _let_47))) (let ((_let_95 (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide _let_94 _let_94) _let_94) _let_93)))) (let ((_let_96 (tptp.divide tptp.identity (tptp.divide _let_94 _let_95)))) (let ((_let_97 (= _let_96 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_96 (tptp.divide _let_18 _let_92)))) _let_92)))) (let ((_let_98 (= _let_94 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_94 _let_19))) tptp.b3)))) (let ((_let_99 (tptp.divide _let_18 _let_60))) (let ((_let_100 (tptp.divide _let_18 _let_94))) (let ((_let_101 (tptp.divide _let_18 _let_49))) (let ((_let_102 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.a3 _let_101))))) (let ((_let_103 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_102 _let_100))))) (let ((_let_104 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_103 _let_48))))) (let ((_let_105 (= _let_104 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_104 _let_99))) _let_60)))) (let ((_let_106 (tptp.divide _let_49 (tptp.divide tptp.identity (tptp.divide _let_85 _let_63))))) (let ((_let_107 (tptp.divide _let_18 _let_106))) (let ((_let_108 (tptp.divide _let_18 tptp.a3))) (let ((_let_109 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_108))))) (let ((_let_110 (= _let_109 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_109 _let_107))) _let_106)))) (let ((_let_111 (tptp.divide _let_60 _let_22))) (let ((_let_112 (tptp.divide tptp.identity (tptp.divide _let_21 _let_111)))) (let ((_let_113 (= _let_112 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_60 (tptp.divide _let_112 _let_61))) tptp.c3)))) (let ((_let_114 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_21 _let_108))))) (let ((_let_115 (= _let_114 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_114 _let_107))) _let_106)))) (let ((_let_116 (= _let_68 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_68 _let_81))) _let_80)))) (let ((_let_117 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_45 (tptp.divide tptp.identity _let_46))) _let_37)))) (let ((_let_118 (tptp.divide (tptp.divide (tptp.divide _let_36 _let_36) _let_36) tptp.a2))) (let ((_let_119 (tptp.divide tptp.identity _let_118))) (let ((_let_120 (tptp.divide (tptp.divide _let_35 _let_35) _let_35))) (let ((_let_121 (tptp.divide _let_120 _let_119))) (let ((_let_122 (tptp.divide _let_36 _let_119))) (let ((_let_123 (tptp.divide _let_18 _let_122))) (let ((_let_124 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_123))))) (let ((_let_125 (= _let_124 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_35 (tptp.divide _let_124 _let_121))) _let_119)))) (let ((_let_126 (tptp.divide tptp.identity (tptp.divide _let_27 (tptp.divide tptp.identity _let_50))))) (let ((_let_127 (= _let_126 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_126 _let_100))) _let_94)))) (let ((_let_128 (= _let_27 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_27 _let_108))) tptp.a3)))) (let ((_let_129 (tptp.divide tptp.identity _let_57))) (let ((_let_130 (= _let_129 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_129 _let_100))) _let_94)))) (let ((_let_131 (= tptp.identity (tptp.divide _let_55 _let_51)))) (let ((_let_132 (tptp.divide tptp.a2 _let_33))) (let ((_let_133 (tptp.divide tptp.a1 _let_132))) (let ((_let_134 (tptp.divide _let_18 _let_133))) (let ((_let_135 (tptp.divide _let_18 tptp.a1))) (let ((_let_136 (tptp.divide tptp.a1 _let_135))) (let ((_let_137 (tptp.divide tptp.identity (tptp.divide _let_136 _let_134)))) (let ((_let_138 (tptp.divide (tptp.divide (tptp.divide _let_137 _let_137) _let_137) _let_122))) (let ((_let_139 (tptp.divide tptp.identity (tptp.divide tptp.a1 _let_37)))) (let ((_let_140 (= _let_139 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_137 (tptp.divide _let_139 _let_138))) _let_122)))) (let ((_let_141 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide tptp.identity (tptp.divide _let_40 _let_37)))) _let_37)))) (let ((_let_142 (tptp.divide _let_43 (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide _let_43 _let_43) _let_43) _let_8))))) (let ((_let_143 (tptp.divide _let_18 _let_142))) (let ((_let_144 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_36 _let_143))))) (let ((_let_145 (= _let_144 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_137 (tptp.divide _let_144 _let_138))) _let_122)))) (let ((_let_146 (tptp.divide _let_40 tptp.identity))) (let ((_let_147 (tptp.divide _let_32 _let_146))) (let ((_let_148 (tptp.divide (tptp.divide _let_136 _let_136) _let_136))) (let ((_let_149 (tptp.divide _let_148 _let_147))) (let ((_let_150 (tptp.divide _let_136 (tptp.divide _let_8 _let_149)))) (let ((_let_151 (tptp.divide tptp.a1 _let_33))) (let ((_let_152 (tptp.divide _let_40 _let_151))) (let ((_let_153 (tptp.divide tptp.identity _let_152))) (let ((_let_154 (tptp.divide _let_8 _let_153))) (let ((_let_155 (tptp.divide (tptp.divide (tptp.divide _let_154 _let_154) _let_154) _let_150))) (let ((_let_156 (tptp.divide _let_18 _let_20))) (let ((_let_157 (tptp.divide tptp.identity _let_156))) (let ((_let_158 (tptp.divide tptp.identity (tptp.divide tptp.identity _let_157)))) (let ((_let_159 (tptp.divide _let_158 _let_69))) (let ((_let_160 (tptp.divide tptp.identity (tptp.divide _let_74 (tptp.divide tptp.identity (tptp.divide _let_75 _let_159)))))) (let ((_let_161 (= _let_160 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_154 (tptp.divide _let_160 _let_155))) _let_150)))) (let ((_let_162 (tptp.divide _let_68 _let_159))) (let ((_let_163 (= _let_74 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_74 (tptp.divide _let_18 _let_162)))) _let_162)))) (let ((_let_164 (tptp.divide tptp.identity _let_106))) (let ((_let_165 (= _let_164 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_27 (tptp.divide _let_164 _let_50))) _let_49)))) (let ((_let_166 (= _let_49 (tptp.divide _let_65 _let_64)))) (let ((_let_167 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_68 _let_156))))) (let ((_let_168 (= _let_167 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_68 (tptp.divide _let_167 _let_69))) tptp.c3)))) (let ((_let_169 (tptp.divide tptp.identity _let_80))) (let ((_let_170 (= _let_169 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_169 _let_156))) _let_20)))) (let ((_let_171 (= tptp.identity (tptp.divide _let_78 _let_76)))) (let ((_let_172 (tptp.divide tptp.a3 _let_22))) (let ((_let_173 (tptp.divide tptp.identity (tptp.divide _let_18 _let_157)))) (let ((_let_174 (tptp.divide (tptp.divide _let_173 _let_173) _let_173))) (let ((_let_175 (tptp.divide tptp.identity (tptp.divide _let_173 (tptp.divide tptp.identity (tptp.divide _let_174 _let_172)))))) (let ((_let_176 (= _let_175 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_154 (tptp.divide _let_175 _let_155))) _let_150)))) (let ((_let_177 (tptp.divide _let_21 _let_172))) (let ((_let_178 (= _let_173 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_173 (tptp.divide _let_18 _let_177)))) _let_177)))) (let ((_let_179 (tptp.divide _let_173 (tptp.divide tptp.identity (tptp.divide _let_174 _let_23))))) (let ((_let_180 (tptp.divide tptp.identity _let_179))) (let ((_let_181 (= _let_180 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_180 _let_108))) tptp.a3)))) (let ((_let_182 (= tptp.identity (tptp.divide _let_87 _let_84)))) (let ((_let_183 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_60 _let_19))))) (let ((_let_184 (= _let_183 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_60 (tptp.divide _let_183 _let_61))) tptp.c3)))) (let ((_let_185 (tptp.divide tptp.identity (tptp.divide _let_49 _let_93)))) (let ((_let_186 (= _let_185 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_185 _let_19))) tptp.b3)))) (let ((_let_187 (= tptp.identity (tptp.divide _let_96 _let_93)))) (let ((_let_188 (= _let_103 (tptp.divide _let_104 _let_47)))) (let ((_let_189 (= tptp.identity (tptp.divide _let_109 tptp.a3)))) (let ((_let_190 (= _let_60 (tptp.divide _let_112 tptp.b3)))) (let ((_let_191 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_154 (tptp.divide tptp.identity _let_155))) _let_150)))) (let ((_let_192 (= _let_102 (tptp.divide _let_103 _let_94)))) (let ((_let_193 (= tptp.identity (tptp.divide _let_185 _let_91)))) (let ((_let_194 (= _let_60 (tptp.divide _let_183 tptp.b3)))) (let ((_let_195 (= _let_83 (tptp.divide (tptp.divide tptp.identity _let_89) tptp.c3)))) (let ((_let_196 (= tptp.identity (tptp.divide _let_180 _let_23)))) (let ((_let_197 (= _let_21 (tptp.divide _let_114 tptp.a3)))) (let ((_let_198 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_18 _let_150)))) _let_150)))) (let ((_let_199 (tptp.divide tptp.identity _let_177))) (let ((_let_200 (= _let_199 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_60 (tptp.divide _let_199 _let_61))) tptp.c3)))) (let ((_let_201 (= tptp.identity (tptp.divide _let_175 _let_172)))) (let ((_let_202 (tptp.divide tptp.a1 _let_38))) (let ((_let_203 (tptp.divide _let_40 _let_202))) (let ((_let_204 (tptp.divide _let_40 _let_38))) (let ((_let_205 (tptp.divide tptp.a1 _let_204))) (let ((_let_206 (tptp.divide tptp.identity (tptp.divide _let_35 (tptp.divide tptp.identity (tptp.divide _let_120 _let_205)))))) (let ((_let_207 (= _let_206 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_206 _let_203))) _let_202)))) (let ((_let_208 (= tptp.a1 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.a1 _let_123))) _let_122)))) (let ((_let_209 (= tptp.identity (tptp.divide _let_169 _let_70)))) (let ((_let_210 (= _let_68 (tptp.divide _let_167 _let_20)))) (let ((_let_211 (= tptp.identity (tptp.divide _let_164 _let_63)))) (let ((_let_212 (= tptp.identity (tptp.divide _let_160 _let_159)))) (let ((_let_213 (= _let_43 (tptp.divide _let_44 _let_41)))) (let ((_let_214 (tptp.divide _let_32 _let_147))) (let ((_let_215 (tptp.divide _let_8 _let_147))) (let ((_let_216 (tptp.divide _let_18 _let_8))) (let ((_let_217 (tptp.divide tptp.identity _let_133))) (let ((_let_218 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_217 _let_216))))) (let ((_let_219 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_218 (tptp.divide _let_18 _let_215)))))) (let ((_let_220 (tptp.divide tptp.identity (tptp.divide tptp.a1 (tptp.divide _let_219 _let_214))))) (let ((_let_221 (= _let_220 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_220 _let_152))) _let_151)))) (let ((_let_222 (tptp.divide tptp.a2 _let_135))) (let ((_let_223 (tptp.divide tptp.identity (tptp.divide _let_18 _let_222)))) (let ((_let_224 (tptp.divide _let_18 _let_223))) (let ((_let_225 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_43 _let_224))))) (let ((_let_226 (= _let_225 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_225 _let_134))) _let_133)))) (let ((_let_227 (tptp.divide tptp.identity _let_222))) (let ((_let_228 (tptp.divide tptp.identity _let_227))) (let ((_let_229 (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_228 _let_146))))) (let ((_let_230 (tptp.divide _let_229 _let_149))) (let ((_let_231 (tptp.divide tptp.a1 _let_151))) (let ((_let_232 (tptp.divide (tptp.divide _let_231 _let_231) _let_231))) (let ((_let_233 (tptp.divide tptp.identity (tptp.divide _let_232 _let_230)))) (let ((_let_234 (tptp.divide tptp.identity (tptp.divide _let_231 _let_233)))) (let ((_let_235 (= _let_234 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_234 _let_134))) _let_133)))) (let ((_let_236 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_136 (tptp.divide tptp.identity (tptp.divide _let_148 _let_233)))) _let_233)))) (let ((_let_237 (tptp.divide _let_32 _let_118))) (let ((_let_238 (tptp.divide tptp.identity (tptp.divide _let_120 _let_237)))) (let ((_let_239 (tptp.divide tptp.identity (tptp.divide _let_35 _let_238)))) (let ((_let_240 (= _let_239 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_239 _let_152))) _let_151)))) (let ((_let_241 (tptp.divide _let_18 _let_35))) (let ((_let_242 (tptp.divide tptp.identity _let_241))) (let ((_let_243 (tptp.divide tptp.identity _let_242))) (let ((_let_244 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_243 (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide _let_243 _let_243) _let_243) _let_238)))) _let_238)))) (let ((_let_245 (tptp.divide tptp.identity (tptp.divide _let_35 (tptp.divide tptp.identity _let_121))))) (let ((_let_246 (= _let_245 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_245 _let_143))) _let_142)))) (let ((_let_247 (= _let_35 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_35 _let_123))) _let_122)))) (let ((_let_248 (= _let_36 (tptp.divide _let_144 _let_142)))) (let ((_let_249 (tptp.divide tptp.identity (tptp.divide _let_36 _let_237)))) (let ((_let_250 (= _let_249 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_249 _let_123))) _let_122)))) (let ((_let_251 (= _let_36 (tptp.divide _let_139 tptp.a1)))) (let ((_let_252 (tptp.divide _let_136 _let_230))) (let ((_let_253 (tptp.divide tptp.identity _let_252))) (let ((_let_254 (= _let_253 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.a1 (tptp.divide _let_253 _let_33))) tptp.a1)))) (let ((_let_255 (tptp.divide _let_18 tptp.identity))) (let ((_let_256 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_229 _let_255))))) (let ((_let_257 (tptp.divide _let_256 _let_149))) (let ((_let_258 (tptp.divide tptp.identity (tptp.divide _let_136 _let_257)))) (let ((_let_259 (= _let_258 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.a1 (tptp.divide _let_258 _let_33))) tptp.a1)))) (let ((_let_260 (tptp.divide _let_18 _let_136))) (let ((_let_261 (tptp.divide _let_18 _let_231))) (let ((_let_262 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_8 _let_261))))) (let ((_let_263 (= _let_262 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_262 _let_260))) _let_136)))) (let ((_let_264 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.a1 (tptp.divide tptp.identity (tptp.divide _let_32 _let_154)))) _let_154)))) (let ((_let_265 (= tptp.a3 (tptp.divide _let_129 _let_49)))) (let ((_let_266 (tptp.divide tptp.identity (tptp.divide tptp.a1 _let_202)))) (let ((_let_267 (= _let_266 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_266 _let_123))) _let_122)))) (let ((_let_268 (= tptp.identity (tptp.divide _let_126 _let_49)))) (let ((_let_269 (= tptp.identity (tptp.divide _let_124 _let_122)))) (let ((_let_270 (tptp.divide _let_8 _let_205))) (let ((_let_271 (tptp.divide tptp.identity _let_270))) (let ((_let_272 (= (tptp.multiply tptp.identity _let_270) (tptp.divide tptp.identity _let_271)))) (let ((_let_273 (tptp.divide (tptp.divide (tptp.divide _let_133 _let_133) _let_133) tptp.a1))) (let ((_let_274 (tptp.divide tptp.identity _let_122))) (let ((_let_275 (= _let_274 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_133 (tptp.divide _let_274 _let_273))) tptp.a1)))) (let ((_let_276 (= tptp.identity (tptp.divide _let_245 _let_119)))) (let ((_let_277 (tptp.divide _let_232 _let_151))) (let ((_let_278 (tptp.divide tptp.identity (tptp.divide _let_231 (tptp.divide _let_36 _let_277))))) (let ((_let_279 (= _let_36 (tptp.divide _let_278 _let_151)))) (let ((_let_280 (tptp.divide _let_36 (tptp.divide tptp.a1 _let_118)))) (let ((_let_281 (tptp.divide tptp.identity _let_280))) (let ((_let_282 (= _let_281 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_133 (tptp.divide _let_281 _let_273))) tptp.a1)))) (let ((_let_283 (= tptp.identity (tptp.divide _let_239 _let_237)))) (let ((_let_284 (tptp.divide tptp.identity (tptp.divide _let_133 (tptp.divide _let_36 _let_273))))) (let ((_let_285 (= _let_36 (tptp.divide _let_284 tptp.a1)))) (let ((_let_286 (tptp.divide tptp.identity _let_150))) (let ((_let_287 (= _let_286 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_286 _let_152))) _let_151)))) (let ((_let_288 (tptp.divide tptp.identity (tptp.divide _let_231 (tptp.divide _let_136 _let_277))))) (let ((_let_289 (= _let_136 (tptp.divide _let_288 _let_151)))) (let ((_let_290 (= tptp.identity (tptp.divide _let_234 _let_230)))) (let ((_let_291 (tptp.divide tptp.identity _let_142))) (let ((_let_292 (= _let_291 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_231 (tptp.divide _let_291 _let_277))) _let_151)))) (let ((_let_293 (= _let_43 (tptp.divide _let_225 _let_223)))) (let ((_let_294 (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_258 _let_152))))) (let ((_let_295 (= _let_258 (tptp.divide _let_294 _let_151)))) (let ((_let_296 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_18 _let_41)))) _let_41)))) (let ((_let_297 (tptp.divide _let_18 _let_243))) (let ((_let_298 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_8 _let_241))))) (let ((_let_299 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_298 _let_297))))) (let ((_let_300 (= _let_298 (tptp.divide _let_299 _let_243)))) (let ((_let_301 (= _let_219 (tptp.divide _let_220 _let_147)))) (let ((_let_302 (tptp.divide _let_8 (tptp.divide _let_8 _let_203)))) (let ((_let_303 (tptp.divide tptp.identity _let_302))) (let ((_let_304 (= _let_303 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_303 _let_204))) _let_38)))) (let ((_let_305 (tptp.divide tptp.identity (tptp.divide tptp.a1 (tptp.divide tptp.identity (tptp.divide _let_32 _let_205)))))) (let ((_let_306 (= _let_305 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_305 _let_203))) _let_202)))) (let ((_let_307 (= _let_262 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.a1 (tptp.divide _let_262 _let_33))) tptp.a1)))) (let ((_let_308 (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_8 _let_152))))) (let ((_let_309 (= _let_308 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_308 (tptp.divide _let_18 _let_154)))) _let_154)))) (let ((_let_310 (tptp.divide tptp.identity _let_41))) (let ((_let_311 (= _let_310 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_133 (tptp.divide _let_310 _let_273))) tptp.a1)))) (let ((_let_312 (= _let_158 (tptp.divide (tptp.divide tptp.identity _let_162) tptp.c3)))) (let ((_let_313 (= _let_62 (tptp.divide (tptp.divide tptp.identity _let_64) tptp.c3)))) (let ((_let_314 (tptp.divide tptp.identity _let_42))) (let ((_let_315 (tptp.divide tptp.identity _let_314))) (let ((_let_316 (= _let_315 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_133 (tptp.divide _let_315 _let_273))) tptp.a1)))) (let ((_let_317 (tptp.divide tptp.identity _let_36))) (let ((_let_318 (= _let_317 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_133 (tptp.divide _let_317 _let_273))) tptp.a1)))) (let ((_let_319 (= tptp.identity (tptp.divide _let_206 _let_205)))) (let ((_let_320 (= tptp.a3 (tptp.divide _let_199 tptp.b3)))) (let ((_let_321 (= _let_266 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_133 (tptp.divide _let_266 _let_273))) tptp.a1)))) (let ((_let_322 (= tptp.a2 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_133 (tptp.divide tptp.a2 _let_273))) tptp.a1)))) (let ((_let_323 (= tptp.identity (tptp.divide _let_83 tptp.b3)))) (let ((_let_324 (= tptp.a3 (tptp.divide _let_102 _let_49)))) (let ((_let_325 (= _let_8 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_231 (tptp.divide _let_8 _let_277))) _let_151)))) (let ((_let_326 (tptp.divide tptp.identity _let_223))) (let ((_let_327 (tptp.divide tptp.identity _let_326))) (let ((_let_328 (= (tptp.multiply tptp.identity _let_326) (tptp.divide tptp.identity _let_327)))) (let ((_let_329 (= (tptp.multiply tptp.identity _let_227) (tptp.divide tptp.identity _let_228)))) (let ((_let_330 (= _let_8 (tptp.divide _let_308 _let_151)))) (let ((_let_331 (tptp.divide tptp.identity _let_154))) (let ((_let_332 (= _let_331 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_331 (tptp.divide _let_40 _let_33)))) _let_33)))) (let ((_let_333 (= _let_8 (tptp.divide _let_262 _let_231)))) (let ((_let_334 (tptp.divide _let_271 _let_38))) (let ((_let_335 (= _let_271 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.a1 _let_334)) tptp.a2)))) (let ((_let_336 (= tptp.identity (tptp.divide _let_305 _let_205)))) (let ((_let_337 (= _let_8 (tptp.divide _let_303 _let_202)))) (let ((_let_338 (tptp.divide tptp.identity _let_203))) (let ((_let_339 (tptp.divide _let_8 _let_338))) (let ((_let_340 (tptp.divide tptp.identity _let_339))) (let ((_let_341 (= _let_340 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_340 _let_204))) _let_38)))) (let ((_let_342 (= _let_218 (tptp.divide _let_219 _let_215)))) (let ((_let_343 (tptp.divide _let_40 _let_43))) (let ((_let_344 (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide tptp.identity _let_343))))) (let ((_let_345 (= _let_344 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_344 _let_34))) tptp.a2)))) (let ((_let_346 (= _let_8 (tptp.divide _let_298 _let_35)))) (let ((_let_347 (tptp.divide _let_18 _let_68))) (let ((_let_348 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_347))))) (let ((_let_349 (= _let_348 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_348 _let_72))) _let_67)))) (let ((_let_350 (tptp.divide tptp.identity (tptp.divide tptp.identity _let_74)))) (let ((_let_351 (= _let_350 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_350 _let_347))) _let_68)))) (let ((_let_352 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_18 _let_74)))) _let_74)))) (let ((_let_353 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_18 _let_77)))) _let_77)))) (let ((_let_354 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_99))))) (let ((_let_355 (= _let_354 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_354 _let_25))) _let_1)))) (let ((_let_356 (tptp.divide tptp.identity (tptp.divide tptp.identity _let_49)))) (let ((_let_357 (= _let_356 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_356 _let_99))) _let_60)))) (let ((_let_358 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_101))) _let_49)))) (let ((_let_359 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_100))) _let_94)))) (let ((_let_360 (tptp.divide _let_18 _let_27))) (let ((_let_361 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_360))))) (let ((_let_362 (= _let_361 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_361 _let_52))) _let_26)))) (let ((_let_363 (tptp.divide tptp.identity (tptp.divide tptp.identity _let_54)))) (let ((_let_364 (= _let_363 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_363 _let_360))) _let_27)))) (let ((_let_365 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_18 _let_54)))) _let_54)))) (let ((_let_366 (tptp.divide _let_18 _let_21))) (let ((_let_367 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_366))))) (let ((_let_368 (= _let_367 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_367 _let_156))) _let_20)))) (let ((_let_369 (tptp.divide tptp.identity (tptp.divide tptp.identity _let_173)))) (let ((_let_370 (= _let_369 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_369 _let_366))) _let_21)))) (let ((_let_371 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_18 _let_173)))) _let_173)))) (let ((_let_372 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_261))))) (let ((_let_373 (= _let_372 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_372 _let_152))) _let_151)))) (let ((_let_374 (= _let_256 (tptp.divide _let_258 _let_147)))) (let ((_let_375 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_134))))) (let ((_let_376 (= _let_375 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_375 (tptp.divide _let_40 _let_132)))) _let_132)))) (let ((_let_377 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_224))))) (let ((_let_378 (= _let_377 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_377 _let_134))) _let_133)))) (let ((_let_379 (tptp.divide tptp.identity (tptp.divide tptp.a1 (tptp.divide tptp.identity _let_214))))) (let ((_let_380 (= _let_379 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.a1 (tptp.divide _let_379 _let_33))) tptp.a1)))) (let ((_let_381 (= tptp.identity (tptp.divide _let_291 _let_8)))) (let ((_let_382 (= _let_229 (tptp.divide _let_253 _let_147)))) (let ((_let_383 (= _let_8 (tptp.divide _let_286 _let_147)))) (let ((_let_384 (tptp.divide tptp.identity _let_136))) (let ((_let_385 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_18 _let_384)))) _let_384)))) (let ((_let_386 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_297))) _let_243)))) (let ((_let_387 (= tptp.a1 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_136 (tptp.divide tptp.a1 _let_149))) _let_147)))) (let ((_let_388 (= _let_32 (tptp.divide _let_249 tptp.a2)))) (let ((_let_389 (= tptp.a1 (tptp.divide _let_281 tptp.a2)))) (let ((_let_390 (= tptp.identity (tptp.divide _let_274 tptp.a2)))) (let ((_let_391 (= _let_327 (tptp.multiply tptp.identity _let_223)))) (let ((_let_392 (tptp.divide tptp.identity _let_215))) (let ((_let_393 (= _let_392 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_392 _let_255))) tptp.identity)))) (let ((_let_394 (= tptp.identity (tptp.divide _let_379 _let_147)))) (let ((_let_395 (= tptp.identity (tptp.divide _let_377 _let_223)))) (let ((_let_396 (= tptp.identity (tptp.divide _let_375 _let_133)))) (let ((_let_397 (= _let_229 (tptp.divide _let_256 tptp.identity)))) (let ((_let_398 (= tptp.identity (tptp.divide _let_310 tptp.a2)))) (let ((_let_399 (tptp.divide tptp.identity _let_243))) (let ((_let_400 (= _let_399 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_399 _let_343))) _let_43)))) (let ((_let_401 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_18 _let_36)))) _let_36)))) (let ((_let_402 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_135))))) (let ((_let_403 (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_402 _let_146))))) (let ((_let_404 (= _let_403 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_403 _let_255))) tptp.identity)))) (let ((_let_405 (= _let_8 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_8 _let_255))) tptp.identity)))) (let ((_let_406 (= tptp.identity (tptp.divide _let_372 _let_231)))) (let ((_let_407 (tptp.divide _let_18 _let_43))) (let ((_let_408 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity _let_407))))) (let ((_let_409 (= _let_408 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_408 _let_34))) tptp.a2)))) (let ((_let_410 (tptp.divide tptp.identity (tptp.divide _let_18 _let_42)))) (let ((_let_411 (tptp.divide tptp.identity (tptp.divide tptp.identity _let_410)))) (let ((_let_412 (= _let_411 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_411 _let_407))) _let_43)))) (let ((_let_413 (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_18 _let_314)))) _let_314)))) (let ((_let_414 (= tptp.identity (tptp.divide _let_369 _let_157)))) (let ((_let_415 (= tptp.identity (tptp.divide _let_367 _let_21)))) (let ((_let_416 (= tptp.identity (tptp.divide _let_363 _let_53)))) (let ((_let_417 (= tptp.identity (tptp.divide _let_361 _let_27)))) (let ((_let_418 (= tptp.identity (tptp.divide _let_356 _let_47)))) (let ((_let_419 (= tptp.identity (tptp.divide _let_354 _let_60)))) (let ((_let_420 (= tptp.identity (tptp.divide _let_350 _let_73)))) (let ((_let_421 (= tptp.identity (tptp.divide _let_348 _let_68)))) (let ((_let_422 (= tptp.identity (tptp.divide _let_344 _let_43)))) (let ((_let_423 (= _let_217 (tptp.divide _let_218 _let_8)))) (let ((_let_424 (= tptp.identity (tptp.divide _let_340 _let_202)))) (let ((_let_425 (= tptp.a1 _let_334))) (let ((_let_426 (tptp.divide tptp.identity _let_231))) (let ((_let_427 (= _let_426 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_426 _let_216))) _let_8)))) (let ((_let_428 (= tptp.identity (tptp.divide _let_331 _let_151)))) (let ((_let_429 (= _let_315 (tptp.multiply tptp.identity _let_42)))) (let ((_let_430 (= _let_228 (tptp.multiply tptp.identity _let_222)))) (let ((_let_431 (= tptp.identity (tptp.divide _let_158 _let_20)))) (let ((_let_432 (= tptp.identity (tptp.divide _let_411 _let_42)))) (let ((_let_433 (= tptp.identity (tptp.divide _let_408 _let_43)))) (let ((_let_434 (tptp.divide tptp.identity _let_384))) (let ((_let_435 (= _let_434 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_434 _let_146))) tptp.identity)))) (let ((_let_436 (tptp.divide tptp.identity _let_260))) (let ((_let_437 (tptp.divide tptp.identity (tptp.divide tptp.identity _let_436)))) (let ((_let_438 (= tptp.identity (tptp.divide _let_437 _let_136)))) (let ((_let_439 (= tptp.identity (tptp.divide _let_399 _let_35)))) (let ((_let_440 (= _let_228 (tptp.divide _let_229 tptp.identity)))) (let ((_let_441 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.a1 _let_255))))) (let ((_let_442 (= _let_441 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_441 _let_255))) tptp.identity)))) (let ((_let_443 (= _let_217 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_217 _let_146))) tptp.identity)))) (let ((_let_444 (= _let_426 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide _let_426 _let_146))) tptp.identity)))) (let ((_let_445 (= _let_32 (tptp.divide _let_392 tptp.identity)))) (let ((_let_446 (= tptp.a1 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_8 (tptp.divide tptp.a1 _let_146))) tptp.identity)))) (let ((_let_447 (tptp.divide tptp.identity tptp.a1))) (let ((_let_448 (tptp.divide tptp.a1 (tptp.divide tptp.identity (tptp.divide _let_32 _let_447))))) (let ((_let_449 (tptp.divide tptp.identity _let_448))) (let ((_let_450 (= _let_449 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide _let_449 _let_135))) tptp.a1)))) (let ((_let_451 (= tptp.a1 (tptp.divide _let_441 tptp.identity)))) (let ((_let_452 (= tptp.a2 (tptp.divide _let_228 tptp.a1)))) (let ((_let_453 (= tptp.a1 (tptp.divide _let_317 tptp.a2)))) (let ((_let_454 (= tptp.identity (tptp.divide _let_402 tptp.a1)))) (let ((_let_455 (= tptp.a1 (tptp.divide _let_434 tptp.a1)))) (let ((_let_456 (= tptp.identity (tptp.divide _let_315 tptp.a2)))) (let ((_let_457 (= tptp.a3 (tptp.divide _let_62 tptp.b3)))) (let ((_let_458 (= tptp.a3 (tptp.divide _let_28 _let_1)))) (let ((_let_459 (= tptp.b3 (tptp.divide (tptp.divide tptp.identity _let_60) tptp.c3)))) (let ((_let_460 (= _let_3 (tptp.divide (tptp.divide tptp.identity _let_68) tptp.c3)))) (let ((_let_461 (= tptp.identity _let_17))) (let ((_let_462 (= tptp.identity (tptp.divide _let_449 _let_447)))) (let ((_let_463 (= tptp.identity (tptp.divide tptp.a3 tptp.a3)))) (let ((_let_464 (= tptp.a2 (tptp.divide _let_217 tptp.a1)))) (let ((_let_465 (= tptp.identity (tptp.divide tptp.a2 tptp.a2)))) (let ((_let_466 (= tptp.a1 (tptp.divide _let_266 tptp.a2)))) (let ((_let_467 (= tptp.identity _let_31))) (let ((_let_468 (= tptp.a1 (tptp.divide _let_426 tptp.a1)))) (let ((_let_469 (= tptp.identity (tptp.divide _let_447 _let_447)))) (let ((_let_470 (= _let_8 _let_447))) (let ((_let_471 (= _let_4 (tptp.divide _let_3 _let_16)))) (let ((_let_472 (= _let_1 (tptp.divide tptp.b3 _let_16)))) (let ((_let_473 (= _let_2 (tptp.divide tptp.a3 (tptp.divide tptp.identity _let_1))))) (let ((_let_474 (= _let_3 (tptp.divide tptp.a3 (tptp.divide tptp.identity tptp.b3))))) (let ((_let_475 (not _let_29))) (let ((_let_476 (_let_15))) (let ((_let_477 ((tptp.divide Y (tptp.divide (tptp.divide (tptp.divide X X) X) Z))))) (let ((_let_478 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_245 _let_142 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_246 false _let_15)))) (let ((_let_479 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_35 _let_122 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_247 false _let_15)))) (let ((_let_480 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_266 _let_122 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_267 false _let_15)))) (let ((_let_481 (_let_13))) (let ((_let_482 (ASSUME :args _let_481))) (let ((_let_483 ((tptp.divide X (tptp.divide tptp.identity Y))))) (let ((_let_484 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (tptp.identity _let_270 QUANTIFIERS_INST_E_MATCHING _let_483)) :args _let_481)) _let_482 :args (_let_272 false _let_13)))) (let ((_let_485 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_133 _let_274 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_275 false _let_15)))) (let ((_let_486 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_35 tptp.identity _let_119 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_276 false _let_15)))) (let ((_let_487 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_133 _let_281 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_282 false _let_15)))) (let ((_let_488 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_231 _let_291 _let_151 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_292 false _let_15)))) (let ((_let_489 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_298 _let_243 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_300 false _let_15)))) (let ((_let_490 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_8 _let_305 _let_202 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_306 false _let_15)))) (let ((_let_491 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_133 _let_315 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_316 false _let_15)))) (let ((_let_492 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_133 _let_317 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_318 false _let_15)))) (let ((_let_493 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_133 _let_266 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_321 false _let_15)))) (let ((_let_494 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_133 tptp.a2 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_322 false _let_15)))) (let ((_let_495 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_231 _let_8 _let_151 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_325 false _let_15)))) (let ((_let_496 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_8 _let_8 _let_151 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_330 false _let_15)))) (let ((_let_497 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.a1 _let_271 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_335 false _let_15)))) (let ((_let_498 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.a1 tptp.identity _let_205 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_336 false _let_15)))) (let ((_let_499 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_8 _let_340 _let_38 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_341 false _let_15)))) (let ((_let_500 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_344 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_345 false _let_15)))) (let ((_let_501 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_8 _let_35 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_346 false _let_15)))) (let ((_let_502 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_8 _let_372 _let_151 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(TRANS _let_1249 _let_1248 (CONG _let_647 (TRANS _let_1222 (CONG _let_647 (TRANS _let_1239 _let_1236 (CONG _let_647 (TRANS _let_1222 (CONG _let_1012 _let_894 :args _let_640)) :args _let_640)) :args _let_640)) :args _let_640))) _let_1257 :args _let_640) _let_896) _let_1257 :args _let_640) _let_867 _let_1220 _let_855))) (let ((_let_1261 (CONG (TRANS _let_1260 (TRANS _let_854 _let_1226 _let_866 _let_1255)) _let_844 :args _let_640))) (let ((_let_1262 (TRANS _let_684 _let_928 (SYMM _let_1261)))) (let ((_let_1263 (CONG (CONG _let_647 (CONG _let_853 (TRANS (CONG _let_931 (SYMM _let_1262) :args _let_640) (CONG _let_931 _let_684 :args _let_640) _let_933 _let_687 (CONG _let_684 _let_1262 :args _let_640)) :args _let_640) :args _let_640) _let_844 :args _let_640))) (let ((_let_1264 (CONG _let_1000 _let_838 :args _let_640))) (let ((_let_1265 (ASSUME :args (_let_145)))) (let ((_let_1266 (REFL :args (_let_137)))) (let ((_let_1267 (TRANS _let_1252 _let_914))) (let ((_let_1268 (CONG _let_1174 _let_1267 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(let ((_let_1284 (CONG _let_651 _let_1283 :args _let_640))) (let ((_let_1285 (CONG _let_1000 _let_641 :args _let_640))) (let ((_let_1286 (CONG (TRANS (CONG _let_647 (TRANS (CONG _let_647 (TRANS (CONG _let_651 _let_1285 :args _let_640) _let_1284 _let_645) :args _let_640) _let_643) :args _let_640) _let_643) _let_641 :args _let_640))) (let ((_let_1287 (CONG _let_647 (CONG _let_1012 _let_658 :args _let_640) :args _let_640))) (let ((_let_1288 (CONG _let_647 (TRANS (CONG _let_647 (CONG _let_647 (TRANS _let_1285 _let_1283) :args _let_640) :args _let_640) _let_1287) :args _let_640))) (let ((_let_1289 (CONG (TRANS _let_642 (CONG _let_647 (TRANS _let_642 (CONG _let_647 (TRANS _let_665 (CONG _let_662 _let_1198 :args _let_640)) :args _let_640)) :args _let_640)) _let_646 :args _let_640))) (let ((_let_1290 (CONG (TRANS (CONG _let_647 (TRANS (CONG _let_647 (TRANS (CONG _let_981 (SYMM _let_1198) :args _let_640) _let_983) :args _let_640) _let_643) :args _let_640) _let_643) _let_646 :args _let_640))) (let ((_let_1291 (CONG _let_647 (SYMM _let_1202) :args _let_640))) (let ((_let_1292 (CONG _let_647 (TRANS (CONG _let_647 (CONG _let_682 (TRANS (SYMM _let_1208) _let_1291) :args _let_640) :args _let_640) _let_980 _let_1290 _let_1289 _let_661 _let_1288) :args _let_640))) (let ((_let_1293 (CONG _let_975 _let_1205 :args _let_640))) (let ((_let_1294 (CONG _let_823 _let_1191 :args _let_640))) (let ((_let_1295 (CONG _let_647 (CONG _let_787 (TRANS _let_1294 _let_821 _let_819 (CONG _let_816 _let_1190 :args _let_640)) :args _let_640) :args _let_640))) (let ((_let_1296 (CONG (TRANS (CONG _let_647 (CONG _let_787 (TRANS (CONG _let_964 _let_1191 :args _let_640) _let_963 _let_820 (SYMM _let_1294)) :args _let_640) :args _let_640) _let_1295) _let_672 :args _let_640))) (let ((_let_1297 (CONG _let_1012 _let_833 :args _let_640))) (let ((_let_1298 (TRANS _let_946 _let_1281 (SYMM _let_1197) _let_960 _let_1297))) (let ((_let_1299 (TRANS _let_772 _let_1204 _let_1200 _let_1199))) (let ((_let_1300 (CONG (TRANS 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_let_1157 _let_716 _let_707) (TRANS _let_708 _let_705 _let_1147 _let_702 _let_1143 (CONG _let_647 (TRANS _let_683 (CONG _let_647 (TRANS _let_819 (CONG (TRANS _let_776 (SYMM _let_1296) _let_967) _let_1298 :args _let_640)) :args _let_640)) :args _let_640))) _let_833 :args _let_640) _let_970 _let_968 _let_1296 _let_777 _let_1209) :args _let_640))) (let ((_let_1305 (SYMM _let_1204))) (let ((_let_1306 (SYMM _let_1200))) (let ((_let_1307 (SYMM _let_1199))) (let ((_let_1308 (CONG _let_647 (TRANS _let_1307 _let_1306 _let_1305 _let_771 (SYMM _let_1303)) :args _let_640))) (let ((_let_1309 (TRANS _let_1307 _let_1306 _let_1305 _let_771 (CONG _let_1012 _let_973 :args _let_640)))) (let ((_let_1310 (TRANS _let_683 (CONG _let_647 (TRANS _let_708 _let_705 _let_1147 _let_702 _let_1143 (CONG _let_647 (TRANS _let_972 (CONG _let_974 _let_1309 :args _let_640)) :args _let_640)) :args _let_640)))) (let ((_let_1311 (CONG _let_1310 (TRANS (SYMM _let_1291) _let_1308 _let_1304 (SYMM _let_1205)) :args _let_640))) (let ((_let_1312 (CONG (TRANS (CONG _let_647 (TRANS _let_673 _let_668) :args _let_640) _let_643) _let_646 :args _let_640))) (let ((_let_1313 (CONG _let_647 (TRANS (CONG _let_1148 (TRANS (CONG _let_647 (CONG _let_749 _let_758 :args _let_640) :args _let_640) _let_677 _let_1312) :args _let_640) _let_1200 _let_1199) :args _let_640))) (let ((_let_1314 (CONG _let_1166 _let_681 :args _let_640))) (let ((_let_1315 (CONG (TRANS (CONG _let_647 (TRANS (CONG _let_682 (TRANS (CONG _let_743 _let_1314 :args _let_640) _let_742 _let_721 _let_1161) :args _let_640) _let_1165 _let_720) :args _let_640) _let_1152 _let_701 _let_1157 _let_716 _let_707) _let_681 :args _let_640))) (let ((_let_1316 (TRANS _let_750 _let_747 _let_1315))) (let ((_let_1317 (CONG _let_1148 _let_1314 :args _let_640))) (let ((_let_1318 (SYMM _let_1165))) (let ((_let_1319 (CONG (TRANS _let_708 _let_705 _let_1147 _let_702 _let_1143 (CONG _let_647 (TRANS _let_719 _let_1318 (CONG _let_682 (TRANS _let_1158 _let_722 _let_754 (CONG _let_755 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(TRANS _let_1336 _let_1334 (CONG _let_647 (TRANS _let_1332 _let_1331 _let_656 (CONG _let_647 (TRANS _let_1324 _let_660 _let_1323 (CONG _let_647 (TRANS _let_946 _let_1281 _let_1280 (CONG _let_1012 _let_1330 :args _let_640)) :args _let_640)) :args _let_640)) :args _let_640))) _let_1330 :args _let_640) (SYMM _let_1329) _let_721 _let_1161) :args _let_640))) (let ((_let_1344 (SYMM _let_1292))) (let ((_let_1345 (CONG (TRANS _let_1342 (TRANS _let_1340 _let_1331 _let_656 _let_1344) (TRANS _let_1292 _let_1325 _let_679 _let_1322 _let_985 _let_988 _let_1282 _let_1195 _let_947)) (TRANS _let_1343 _let_1165 _let_720 _let_683) :args _let_640))) (let ((_let_1346 (CONG (SYMM _let_1342) (TRANS _let_719 _let_1318 (SYMM _let_1343)) :args _let_640))) (let ((_let_1347 (ASSUME :args (_let_423)))) (let ((_let_1348 (SYMM _let_1347))) (let ((_let_1349 (CONG _let_647 (TRANS _let_1176 _let_802 _let_1175 _let_790 (SYMM _let_1348) _let_1346 _let_1345 _let_1184) :args _let_680))) (let ((_let_1350 (ASSUME :args (_let_391)))) (let ((_let_1351 (SYMM _let_1350))) (let ((_let_1352 (SYMM _let_1175))) (let ((_let_1353 (CONG _let_647 (CONG _let_647 (TRANS (CONG _let_1174 _let_1227 :args _let_640) _let_1352 _let_801 _let_1327) :args _let_640) :args _let_640))) (let ((_let_1354 (ASSUME :args (_let_374)))) (let ((_let_1355 (REFL :args (_let_258)))) (let ((_let_1356 (CONG _let_1355 _let_1274 :args _let_640))) (let ((_let_1357 (TRANS _let_1289 _let_661))) (let ((_let_1358 (CONG _let_647 (TRANS (CONG (TRANS (CONG (TRANS (CONG _let_1357 _let_641 :args _let_640) _let_664) (TRANS _let_1289 _let_661 _let_1288) :args _let_640) _let_657 _let_1286 _let_1341) _let_682 :args _let_640) _let_1348 _let_789 _let_1352 _let_801 _let_1327) :args _let_640))) (let ((_let_1359 (CONG _let_647 (TRANS _let_935 (SYMM _let_1263) _let_841 (CONG _let_647 (CONG _let_641 (TRANS _let_1358 (SYMM _let_1178)) :args _let_640) :args _let_640)) :args _let_640))) (let ((_let_1360 (CONG (TRANS (TRANS (CONG _let_647 (TRANS (CONG (TRANS 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((_let_1368 (CONG (TRANS (CONG _let_647 (TRANS (CONG _let_683 (TRANS (CONG _let_1367 (TRANS _let_1314 _let_1320 _let_746) :args _let_640) (CONG _let_1367 (TRANS _let_747 _let_1315) :args _let_640) (SYMM _let_1366) _let_683) :args _let_640) _let_686) :args _let_640) _let_643) _let_1278 :args _let_640))) (let ((_let_1369 (ASSUME :args (_let_304)))) (let ((_let_1370 (SYMM _let_1369))) (let ((_let_1371 (CONG _let_1000 (REFL :args (_let_302)) :args _let_640))) (let ((_let_1372 (SYMM _let_1356))) (let ((_let_1373 (SYMM _let_1353))) (let ((_let_1374 (SYMM _let_1268))) (let ((_let_1375 (SYMM _let_1171))) (let ((_let_1376 (ASSUME :args (_let_290)))) (let ((_let_1377 (REFL :args (_let_234)))) (let ((_let_1378 (ASSUME :args (_let_235)))) (let ((_let_1379 (TRANS _let_1251 (SYMM _let_1259)))) (let ((_let_1380 (CONG _let_647 (CONG _let_1379 (REFL :args (_let_233)) :args _let_640) :args _let_640))) (let ((_let_1381 (CONG _let_647 (CONG (SYMM _let_1363) (REFL :args (_let_230)) :args _let_640) :args _let_640))) (let ((_let_1382 (CONG _let_853 (TRANS (CONG _let_1000 (REFL :args (_let_252)) :args _let_640) _let_1381) :args _let_640))) (let ((_let_1383 (TRANS _let_1364 _let_1362 _let_1360 _let_1271 _let_1381))) (let ((_let_1384 (CONG (SYMM _let_1379) (REFL :args ((tptp.divide tptp.identity (tptp.divide _let_232 _let_257)))) :args _let_640))) (let ((_let_1385 (CONG _let_868 (TRANS (CONG _let_647 (SYMM _let_1384) :args _let_640) (CONG _let_647 (TRANS _let_1384 (CONG _let_1379 _let_1383 :args _let_640) (SYMM _let_1382)) :args _let_640) (CONG _let_647 _let_1382 :args _let_640) (SYMM _let_1380)) :args _let_640))) (let ((_let_1386 (CONG _let_647 (SYMM _let_1385) :args _let_640))) (let ((_let_1387 (ASSUME :args (_let_236)))) (let ((_let_1388 (ASSUME :args (_let_295)))) (let ((_let_1389 (REFL :args (_let_33)))) (let ((_let_1390 (CONG _let_1148 _let_1389 :args _let_640))) (let ((_let_1391 (ASSUME :args (_let_428)))) (let ((_let_1392 (TRANS _let_708 _let_705 _let_1147 _let_702 _let_1143 (CONG _let_647 (TRANS _let_719 _let_1318 (CONG _let_682 (TRANS _let_1158 _let_722 (SYMM (SYMM _let_1391)) (CONG (REFL :args (_let_331)) _let_1390 :args _let_640)) :args _let_640)) :args _let_640)))) (let ((_let_1393 (CONG _let_1392 _let_1389 :args _let_640))) (let ((_let_1394 (SYMM _let_1393))) (let ((_let_1395 (ASSUME :args (_let_332)))) (let ((_let_1396 (TRANS _let_1395 _let_1394))) (let ((_let_1397 (TRANS _let_1258 _let_851 _let_1249 _let_1248 _let_1242 (SYMM _let_1239)))) (let ((_let_1398 (ASSUME :args (_let_301)))) (let ((_let_1399 (REFL :args (_let_220)))) (let ((_let_1400 (ASSUME :args (_let_221)))) (let ((_let_1401 (ASSUME :args (_let_342)))) (let ((_let_1402 (CONG (TRANS _let_749 _let_1310) _let_973 :args _let_640))) (let ((_let_1403 (CONG _let_1339 (TRANS _let_905 (CONG (SYMM _let_1253) _let_904 :args _let_640) _let_918 _let_708 _let_705 _let_1154) :args _let_640))) (let ((_let_1404 (CONG (TRANS (CONG _let_647 (TRANS (CONG _let_647 (TRANS (CONG _let_672 (TRANS _let_1302 _let_961 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:args _let_640) :args _let_640) (SYMM _let_1396) :args _let_640) (CONG (REFL :args (_let_294)) _let_1396 :args _let_640) (SYMM _let_1388) _let_1362 _let_1360 _let_1271 _let_1269) :args _let_640) (CONG (TRANS (SYMM (SYMM _let_1387)) (CONG _let_1386 (SYMM _let_1383) :args _let_640) (CONG (TRANS (SYMM _let_1386) (TRANS _let_1386 (CONG _let_647 (TRANS _let_1385 (CONG _let_868 (TRANS _let_1380 (SYMM (SYMM _let_1378)) (CONG (TRANS (CONG _let_647 (TRANS (CONG _let_647 (TRANS (CONG _let_1377 _let_1375 :args _let_640) (CONG _let_1377 (TRANS _let_789 _let_1374) :args _let_640) (SYMM _let_1376)) :args _let_640) _let_643) :args _let_640) _let_643) (SYMM _let_1181) :args _let_640) _let_806 (SYMM _let_1182) _let_1375 _let_789 _let_1374) :args _let_640) (CONG _let_868 (TRANS _let_1268 _let_1352 _let_801 _let_1328 (SYMM _let_1349) _let_1351 _let_1373 _let_1354 _let_1372 (CONG (TRANS _let_1362 _let_1360 _let_1271) _let_894 :args _let_640) (SYMM _let_1275) _let_1277 (SYMM _let_1368) _let_1370 (SYMM 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(SYMM _let_1440) _let_897 _let_684) :args _let_640) _let_1152 _let_701 _let_1157 _let_716 _let_707) :args _let_640) _let_684) _let_748) _let_833 :args _let_640))) (let ((_let_1443 (ASSUME :args (_let_250)))) (let ((_let_1444 (SYMM (SYMM _let_1443)))) (let ((_let_1445 (CONG _let_910 _let_1212 :args _let_640))) (let ((_let_1446 (CONG _let_647 (CONG _let_749 (REFL :args (_let_153)) :args _let_640) :args _let_640))) (let ((_let_1447 (ASSUME :args (_let_283)))) (let ((_let_1448 (REFL :args (_let_239)))) (let ((_let_1449 (ASSUME :args (_let_240)))) (let ((_let_1450 (ASSUME :args (_let_386)))) (let ((_let_1451 (CONG _let_647 (TRANS (SYMM _let_1209) (CONG _let_647 (CONG _let_647 _let_1309 :args _let_640) :args _let_640)) :args _let_640))) (let ((_let_1452 (CONG _let_647 (TRANS (CONG _let_647 (TRANS (CONG _let_672 (TRANS (CONG _let_1000 (REFL :args (_let_339)) :args _let_640) _let_751) :args _let_640) _let_1435 _let_1317 (CONG _let_1166 (REFL :args (_let_202)) :args _let_640)) :args _let_640) 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_let_707) (TRANS (SYMM _let_744) _let_746 _let_751) :args _let_640) (CONG _let_672 (TRANS _let_750 _let_747 _let_744 _let_713) :args _let_640) (SYMM _let_715)) :args _let_640) (CONG _let_682 _let_715 :args _let_640)) :args _let_680) (SYMM _let_679) (CONG _let_647 (TRANS _let_677 _let_674 _let_666 _let_661 _let_659) :args _let_640) _let_657 _let_654 (SYMM _let_639)) :args (_let_563 _let_461 _let_432 _let_412 _let_409 _let_433 _let_467 _let_425 _let_335 _let_272 _let_451 _let_469 _let_470 _let_450 _let_462 _let_442 _let_405 _let_454 _let_404 _let_446 _let_424 _let_341 _let_336 _let_439 _let_400 _let_306 _let_346 _let_345 _let_422 _let_452 _let_440 _let_464 _let_443 _let_318 _let_396 _let_376 _let_378 _let_395 _let_453 _let_389 _let_282 _let_247 _let_246 _let_292 _let_406 _let_373 _let_444 _let_468 _let_455 _let_435 _let_427 _let_385 _let_445 _let_393 _let_380 _let_394 _let_387 _let_438 _let_330 _let_381 _let_325 _let_401 _let_276 _let_466 _let_321 _let_322 _let_465 _let_390 _let_398 _let_275 _let_267 _let_300 _let_429 _let_316 _let_456))) :args (_let_563 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_462 _let_461 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_446 _let_445 _let_444 _let_443 _let_442 _let_440 _let_439 _let_438 _let_435 _let_433 _let_432 _let_429 _let_427 _let_425 _let_424 _let_422 _let_412 _let_409 _let_406 _let_405 _let_404 _let_401 _let_400 _let_398 _let_396 _let_395 _let_394 _let_393 _let_390 _let_389 _let_387 _let_385 _let_381 _let_380 _let_378 _let_376 _let_373 _let_346 _let_345 _let_341 _let_336 _let_335 _let_330 _let_325 _let_322 _let_321 _let_318 _let_316 _let_306 _let_300 _let_292 _let_282 _let_276 _let_275 _let_272 _let_267 _let_247 _let_246))) :args (true _let_638)) :args ((or _let_561 (not _let_563) _let_637 _let_636 _let_635 _let_634 _let_633 _let_632 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_625 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_582 _let_581 _let_580 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (tptp.identity tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_481)) _let_482 :args (_let_563 false _let_13)) _let_559 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_480 _let_479 _let_478 :args (_let_561 false _let_563 false _let_470 false _let_469 false _let_468 false _let_467 false _let_466 false _let_465 false _let_464 false _let_462 false _let_461 false _let_456 false _let_455 false _let_454 false _let_453 false _let_452 false _let_451 false _let_450 false _let_446 false _let_445 false _let_444 false _let_443 false _let_442 false _let_440 false _let_439 false _let_438 false _let_435 false _let_433 false _let_432 false _let_429 false _let_427 false _let_425 false _let_424 false _let_422 false _let_412 false _let_409 false _let_406 false _let_405 false _let_404 false _let_401 false _let_400 false _let_398 false _let_396 false _let_395 false _let_394 false _let_393 false _let_390 false _let_389 false _let_387 false _let_385 false _let_381 false _let_380 false _let_378 false _let_376 false _let_373 false _let_346 false _let_345 false _let_341 false _let_336 false _let_335 false _let_330 false _let_325 false _let_322 false _let_321 false _let_318 false _let_316 false _let_306 false _let_300 false _let_292 false _let_282 false _let_276 false _let_275 false _let_272 false _let_267 false _let_247 false _let_246)) :args (_let_6 false _let_562 false _let_561)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (tptp.a3 tptp.b3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_481)) _let_482 :args (_let_474 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (tptp.a3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_481)) _let_482 :args (_let_473 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (tptp.b3 tptp.c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_481)) _let_482 :args (_let_472 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_3 tptp.c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_481)) _let_482 :args (_let_471 false _let_13)) _let_559 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_547 :args (tptp.a3 QUANTIFIERS_INST_ENUM)) :args _let_546)) _let_547 :args (_let_463 false _let_11)) _let_550 _let_549 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_3 tptp.c3 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_460 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.b3 tptp.c3 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_459 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE 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_let_30 :args (_let_8 tptp.identity _let_151 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_428 false _let_15)) _let_526 _let_525 _let_524 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_217 _let_8 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_423 false _let_15)) _let_523 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_68 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_421 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_73 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_420 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_60 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_419 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_47 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_418 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_27 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_417 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_53 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_416 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_21 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_415 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_157 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_414 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_314 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_413 false _let_15)) _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity _let_229 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_397 false _let_15)) _let_514 _let_513 _let_512 _let_511 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_482 :args (tptp.identity _let_223 QUANTIFIERS_INST_E_MATCHING _let_483)) :args _let_481))) _let_482 :args (_let_391 false _let_13)) _let_510 _let_509 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_36 _let_32 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_388 false _let_15)) _let_508 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_243 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_386 false _let_15)) _let_507 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_136 _let_8 _let_147 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_383 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_136 _let_229 _let_147 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_382 false _let_15)) _let_506 _let_505 _let_504 _let_503 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_136 _let_256 _let_147 QUANTIFIERS_INST_E_MATCHING _let_477)) :args _let_476)) _let_30 :args (_let_374 false _let_15)) _let_502 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity tptp.identity _let_173 QUANTIFIERS_INST_E_MATCHING _let_477)) :args 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% 8.94/9.15 )
% 8.94/9.16 % SZS output end Proof for GRP066-1
% 8.94/9.16 % cvc5---1.0.5 exiting
% 8.94/9.17 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------