TSTP Solution File: GRP488-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP488-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 00:26:12 EDT 2023
% Result : Unsatisfiable 5.07s 5.33s
% Output : Proof 5.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP488-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 21:03:30 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CKnEnIKt7t/cvc5---1.0.5_5648.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP488-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5648.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.07/5.33 % SZS status Unsatisfiable for GRP488-1
% 5.07/5.33 % SZS output start Proof for GRP488-1
% 5.16/5.36 (
% 5.16/5.36 (let ((_let_1 (tptp.multiply tptp.identity tptp.a2))) (let ((_let_2 (not (= _let_1 tptp.a2)))) (let ((_let_3 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))) (let ((_let_4 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide A tptp.identity) (tptp.double_divide B C))) B) tptp.identity)) C)))) (let ((_let_7 (= tptp.a2 _let_1))) (let ((_let_8 (tptp.double_divide tptp.a2 tptp.identity))) (let ((_let_9 (tptp.double_divide _let_8 tptp.identity))) (let ((_let_10 (= _let_1 _let_9))) (let ((_let_11 (tptp.inverse _let_8))) (let ((_let_12 (= _let_9 _let_11))) (let ((_let_13 (tptp.double_divide _let_9 tptp.identity))) (let ((_let_14 (tptp.double_divide _let_13 tptp.identity))) (let ((_let_15 (= (tptp.multiply tptp.identity _let_9) _let_14))) (let ((_let_16 (tptp.inverse _let_9))) (let ((_let_17 (= _let_13 _let_16))) (let ((_let_18 (tptp.double_divide _let_8 _let_11))) (let ((_let_19 (= tptp.identity _let_18))) (let ((_let_20 (tptp.double_divide _let_9 _let_18))) (let ((_let_21 (tptp.double_divide tptp.identity _let_20))) (let ((_let_22 (tptp.double_divide (tptp.double_divide _let_21 _let_8) tptp.identity))) (let ((_let_23 (tptp.double_divide _let_8 _let_22))) (let ((_let_24 (= _let_11 _let_23))) (let ((_let_25 (tptp.double_divide _let_13 _let_18))) (let ((_let_26 (tptp.double_divide tptp.identity _let_25))) (let ((_let_27 (tptp.double_divide _let_26 _let_8))) (let ((_let_28 (tptp.double_divide _let_27 tptp.identity))) (let ((_let_29 (tptp.double_divide _let_9 _let_28))) (let ((_let_30 (= _let_11 _let_29))) (let ((_let_31 (tptp.double_divide _let_8 _let_9))) (let ((_let_32 (tptp.double_divide tptp.identity _let_31))) (let ((_let_33 (tptp.double_divide _let_32 _let_8))) (let ((_let_34 (tptp.double_divide _let_33 tptp.identity))) (let ((_let_35 (= tptp.identity (tptp.double_divide tptp.a2 _let_34)))) (let ((_let_36 (tptp.inverse _let_13))) (let ((_let_37 (= _let_14 _let_36))) (let ((_let_38 (tptp.double_divide _let_9 _let_16))) (let ((_let_39 (= tptp.identity _let_38))) (let ((_let_40 (tptp.double_divide tptp.identity (tptp.double_divide _let_8 _let_38)))) (let ((_let_41 (tptp.double_divide (tptp.double_divide _let_40 _let_9) tptp.identity))) (let ((_let_42 (= _let_16 (tptp.double_divide tptp.a2 _let_41)))) (let ((_let_43 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_13 _let_38)) _let_9))) (let ((_let_44 (tptp.double_divide _let_43 tptp.identity))) (let ((_let_45 (tptp.double_divide _let_9 _let_44))) (let ((_let_46 (= _let_16 _let_45))) (let ((_let_47 (tptp.double_divide tptp.identity (tptp.double_divide _let_8 _let_29)))) (let ((_let_48 (tptp.double_divide _let_47 _let_9))) (let ((_let_49 (tptp.double_divide _let_48 tptp.identity))) (let ((_let_50 (tptp.double_divide tptp.a2 _let_49))) (let ((_let_51 (= _let_28 _let_50))) (let ((_let_52 (tptp.double_divide (tptp.double_divide tptp.identity _let_29) _let_27))) (let ((_let_53 (tptp.double_divide _let_8 (tptp.double_divide _let_52 tptp.identity)))) (let ((_let_54 (= tptp.identity _let_53))) (let ((_let_55 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_56 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_8)) tptp.a2))) (let ((_let_57 (tptp.double_divide _let_56 tptp.identity))) (let ((_let_58 (= tptp.identity (tptp.double_divide tptp.identity _let_57)))) (let ((_let_59 (tptp.double_divide _let_14 _let_38))) (let ((_let_60 (tptp.double_divide tptp.identity _let_59))) (let ((_let_61 (tptp.double_divide _let_60 _let_9))) (let ((_let_62 (tptp.double_divide _let_61 tptp.identity))) (let ((_let_63 (tptp.double_divide _let_13 _let_62))) (let ((_let_64 (= _let_16 _let_63))) (let ((_let_65 (= tptp.identity (tptp.double_divide _let_8 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_13)) _let_9) tptp.identity))))) (let ((_let_66 (tptp.double_divide _let_21 tptp.identity))) (let ((_let_67 (= (tptp.multiply _let_20 tptp.identity) _let_66))) (let ((_let_68 (tptp.double_divide _let_26 tptp.identity))) (let ((_let_69 (= (tptp.multiply _let_25 tptp.identity) _let_68))) (let ((_let_70 (tptp.double_divide _let_14 tptp.identity))) (let ((_let_71 (tptp.double_divide _let_70 tptp.identity))) (let ((_let_72 (= (tptp.multiply tptp.identity _let_14) _let_71))) (let ((_let_73 (tptp.inverse tptp.identity))) (let ((_let_74 (= _let_55 _let_73))) (let ((_let_75 (tptp.inverse _let_14))) (let ((_let_76 (= _let_70 _let_75))) (let ((_let_77 (tptp.double_divide _let_13 _let_36))) (let ((_let_78 (= tptp.identity _let_77))) (let ((_let_79 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_13 _let_77)) _let_13))) (let ((_let_80 (tptp.double_divide _let_79 tptp.identity))) (let ((_let_81 (tptp.double_divide _let_9 _let_80))) (let ((_let_82 (= _let_36 _let_81))) (let ((_let_83 (= _let_22 (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_8 _let_23)) _let_8) tptp.identity))))) (let ((_let_84 (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_50)))) (let ((_let_85 (tptp.double_divide _let_84 tptp.a2))) (let ((_let_86 (tptp.double_divide _let_85 tptp.identity))) (let ((_let_87 (tptp.double_divide _let_8 _let_86))) (let ((_let_88 (= _let_49 _let_87))) (let ((_let_89 (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_63)))) (let ((_let_90 (tptp.double_divide _let_89 _let_13))) (let ((_let_91 (tptp.double_divide _let_90 tptp.identity))) (let ((_let_92 (tptp.double_divide _let_8 _let_91))) (let ((_let_93 (= _let_62 _let_92))) (let ((_let_94 (tptp.double_divide _let_55 _let_77))) (let ((_let_95 (tptp.double_divide tptp.identity _let_94))) (let ((_let_96 (tptp.double_divide (tptp.double_divide _let_95 _let_13) tptp.identity))) (let ((_let_97 (= _let_36 (tptp.double_divide tptp.identity _let_96)))) (let ((_let_98 (tptp.double_divide _let_70 _let_77))) (let ((_let_99 (tptp.double_divide tptp.identity _let_98))) (let ((_let_100 (tptp.double_divide _let_99 _let_13))) (let ((_let_101 (tptp.double_divide _let_14 (tptp.double_divide _let_100 tptp.identity)))) (let ((_let_102 (= _let_36 _let_101))) (let ((_let_103 (tptp.double_divide tptp.identity (tptp.double_divide _let_34 _let_77)))) (let ((_let_104 (tptp.double_divide _let_103 _let_13))) (let ((_let_105 (= _let_36 (tptp.double_divide _let_33 (tptp.double_divide _let_104 tptp.identity))))) (let ((_let_106 (= _let_49 (tptp.multiply _let_9 _let_47)))) (let ((_let_107 (= _let_41 (tptp.multiply _let_9 _let_40)))) (let ((_let_108 (tptp.double_divide _let_66 tptp.identity))) (let ((_let_109 (= (tptp.multiply tptp.identity _let_21) _let_108))) (let ((_let_110 (tptp.inverse _let_32))) (let ((_let_111 (tptp.double_divide _let_32 tptp.identity))) (let ((_let_112 (= _let_111 _let_110))) (let ((_let_113 (tptp.inverse _let_70))) (let ((_let_114 (= _let_71 _let_113))) (let ((_let_115 (= _let_68 (tptp.inverse _let_26)))) (let ((_let_116 (tptp.inverse _let_48))) (let ((_let_117 (= _let_49 _let_116))) (let ((_let_118 (= tptp.identity (tptp.double_divide tptp.identity _let_73)))) (let ((_let_119 (= tptp.identity (tptp.double_divide _let_14 _let_75)))) (let ((_let_120 (tptp.double_divide _let_33 (tptp.inverse _let_33)))) (let ((_let_121 (= tptp.identity _let_120))) (let ((_let_122 (= _let_44 (tptp.double_divide _let_8 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_45)) _let_9) tptp.identity))))) (let ((_let_123 (= _let_91 (tptp.double_divide _let_9 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_13 _let_92)) _let_8) tptp.identity))))) (let ((_let_124 (= _let_86 (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_8 _let_87)) _let_8) tptp.identity))))) (let ((_let_125 (tptp.double_divide (tptp.double_divide tptp.identity _let_81) _let_79))) (let ((_let_126 (tptp.double_divide _let_8 (tptp.double_divide _let_125 tptp.identity)))) (let ((_let_127 (= tptp.identity _let_126))) (let ((_let_128 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_48)) _let_47) tptp.identity))) (let ((_let_129 (tptp.double_divide tptp.identity _let_128))) (let ((_let_130 (= _let_9 _let_129))) (let ((_let_131 (tptp.double_divide (tptp.double_divide tptp.identity _let_101) _let_100))) (let ((_let_132 (tptp.double_divide _let_131 tptp.identity))) (let ((_let_133 (= tptp.identity (tptp.double_divide _let_13 _let_132)))) (let ((_let_134 (tptp.double_divide _let_55 _let_29))) (let ((_let_135 (tptp.double_divide tptp.identity _let_134))) (let ((_let_136 (= (tptp.multiply _let_134 tptp.identity) (tptp.double_divide _let_135 tptp.identity)))) (let ((_let_137 (= _let_91 (tptp.multiply _let_13 _let_89)))) (let ((_let_138 (tptp.double_divide tptp.identity (tptp.double_divide _let_8 _let_49)))) (let ((_let_139 (tptp.double_divide _let_138 _let_48))) (let ((_let_140 (tptp.double_divide _let_139 tptp.identity))) (let ((_let_141 (= _let_140 (tptp.multiply _let_48 _let_138)))) (let ((_let_142 (= _let_96 (tptp.multiply _let_13 _let_95)))) (let ((_let_143 (tptp.inverse _let_57))) (let ((_let_144 (= (tptp.double_divide _let_57 tptp.identity) _let_143))) (let ((_let_145 (tptp.inverse _let_111))) (let ((_let_146 (tptp.double_divide _let_111 tptp.identity))) (let ((_let_147 (= _let_146 _let_145))) (let ((_let_148 (tptp.inverse _let_66))) (let ((_let_149 (= _let_108 _let_148))) (let ((_let_150 (tptp.inverse _let_71))) (let ((_let_151 (= (tptp.double_divide _let_71 tptp.identity) _let_150))) (let ((_let_152 (= tptp.identity (tptp.double_divide _let_32 _let_110)))) (let ((_let_153 (= tptp.identity (tptp.double_divide _let_70 _let_113)))) (let ((_let_154 (tptp.double_divide _let_48 _let_116))) (let ((_let_155 (= tptp.identity _let_154))) (let ((_let_156 (= _let_128 (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_8 _let_129)) tptp.identity) tptp.identity))))) (let ((_let_157 (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_129)))) (let ((_let_158 (tptp.double_divide _let_157 tptp.identity))) (let ((_let_159 (tptp.double_divide _let_158 tptp.identity))) (let ((_let_160 (tptp.double_divide _let_85 _let_159))) (let ((_let_161 (= _let_128 _let_160))) (let ((_let_162 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_129)) tptp.identity))) (let ((_let_163 (tptp.double_divide _let_162 tptp.identity))) (let ((_let_164 (tptp.double_divide tptp.identity _let_163))) (let ((_let_165 (= _let_128 _let_164))) (let ((_let_166 (= _let_116 (tptp.double_divide _let_14 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_70 _let_154)) _let_48) tptp.identity))))) (let ((_let_167 (= tptp.identity (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_111)) _let_32) tptp.identity))))) (let ((_let_168 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_26)) tptp.identity) tptp.identity))) (let ((_let_169 (tptp.double_divide _let_85 _let_168))) (let ((_let_170 (= _let_25 _let_169))) (let ((_let_171 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_60)) tptp.identity) tptp.identity))) (let ((_let_172 (tptp.double_divide _let_85 _let_171))) (let ((_let_173 (= _let_59 _let_172))) (let ((_let_174 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_33)) _let_32) tptp.identity))) (let ((_let_175 (= _let_8 (tptp.double_divide tptp.identity _let_174)))) (let ((_let_176 (tptp.double_divide tptp.identity _let_53))) (let ((_let_177 (tptp.double_divide _let_176 _let_52))) (let ((_let_178 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_177)) _let_176) tptp.identity)))) (let ((_let_179 (= _let_52 _let_178))) (let ((_let_180 (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_139)))) (let ((_let_181 (tptp.double_divide (tptp.double_divide _let_180 _let_138) tptp.identity))) (let ((_let_182 (tptp.double_divide _let_85 _let_181))) (let ((_let_183 (= _let_48 _let_182))) (let ((_let_184 (= _let_94 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_95)) tptp.identity) tptp.identity))))) (let ((_let_185 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_99)) tptp.identity) tptp.identity))) (let ((_let_186 (tptp.double_divide _let_85 _let_185))) (let ((_let_187 (= _let_98 _let_186))) (let ((_let_188 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_90)) _let_89) tptp.identity))) (let ((_let_189 (tptp.double_divide tptp.identity _let_188))) (let ((_let_190 (= _let_13 _let_189))) (let ((_let_191 (tptp.double_divide tptp.identity (tptp.double_divide _let_14 _let_70)))) (let ((_let_192 (tptp.double_divide _let_191 _let_14))) (let ((_let_193 (tptp.double_divide _let_192 tptp.identity))) (let ((_let_194 (= _let_193 (tptp.multiply _let_14 _let_191)))) (let ((_let_195 (tptp.double_divide tptp.identity _let_87))) (let ((_let_196 (tptp.double_divide _let_195 _let_85))) (let ((_let_197 (tptp.double_divide _let_196 tptp.identity))) (let ((_let_198 (= _let_197 (tptp.multiply _let_85 _let_195)))) (let ((_let_199 (= (tptp.multiply _let_116 _let_48) (tptp.double_divide _let_154 tptp.identity)))) (let ((_let_200 (tptp.double_divide tptp.identity (tptp.double_divide _let_22 _let_57)))) (let ((_let_201 (tptp.double_divide _let_200 _let_56))) (let ((_let_202 (tptp.double_divide _let_201 tptp.identity))) (let ((_let_203 (= (tptp.multiply tptp.identity _let_201) (tptp.double_divide _let_202 tptp.identity)))) (let ((_let_204 (= (tptp.double_divide _let_140 tptp.identity) (tptp.inverse _let_140)))) (let ((_let_205 (tptp.double_divide _let_96 tptp.identity))) (let ((_let_206 (= _let_205 (tptp.inverse _let_96)))) (let ((_let_207 (tptp.double_divide _let_62 tptp.identity))) (let ((_let_208 (tptp.inverse _let_207))) (let ((_let_209 (= (tptp.double_divide _let_207 tptp.identity) _let_208))) (let ((_let_210 (tptp.inverse _let_196))) (let ((_let_211 (= _let_197 _let_210))) (let ((_let_212 (tptp.inverse _let_192))) (let ((_let_213 (= _let_193 _let_212))) (let ((_let_214 (= tptp.identity (tptp.double_divide _let_57 _let_143)))) (let ((_let_215 (= tptp.identity (tptp.double_divide _let_111 _let_145)))) (let ((_let_216 (= tptp.identity (tptp.double_divide _let_66 _let_148)))) (let ((_let_217 (= tptp.identity (tptp.double_divide _let_71 _let_150)))) (let ((_let_218 (= tptp.identity (tptp.double_divide _let_139 (tptp.inverse _let_139))))) (let ((_let_219 (= _let_188 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_189)) tptp.identity) tptp.identity))))) (let ((_let_220 (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_169)))) (let ((_let_221 (tptp.double_divide (tptp.double_divide _let_220 _let_85) tptp.identity))) (let ((_let_222 (= _let_168 (tptp.double_divide _let_85 _let_221)))) (let ((_let_223 (= _let_188 (tptp.double_divide _let_48 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_49 _let_189)) tptp.identity) tptp.identity))))) (let ((_let_224 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_91 _let_169)) _let_85))) (let ((_let_225 (tptp.double_divide _let_224 tptp.identity))) (let ((_let_226 (= _let_168 (tptp.double_divide _let_90 _let_225)))) (let ((_let_227 (= _let_188 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_189)) tptp.identity) tptp.identity))))) (let ((_let_228 (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_182)))) (let ((_let_229 (tptp.double_divide (tptp.double_divide _let_228 _let_85) tptp.identity))) (let ((_let_230 (= _let_181 (tptp.double_divide tptp.identity _let_229)))) (let ((_let_231 (= _let_171 (tptp.double_divide _let_13 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_14 _let_172)) _let_85) tptp.identity))))) (let ((_let_232 (= _let_134 (tptp.double_divide _let_43 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_44 _let_135)) tptp.identity) tptp.identity))))) (let ((_let_233 (= _let_52 (tptp.double_divide _let_43 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_44 _let_177)) _let_176) tptp.identity))))) (let ((_let_234 (= _let_163 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_164)) tptp.identity) tptp.identity))))) (let ((_let_235 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_70 _let_186)) _let_85) tptp.identity))) (let ((_let_236 (tptp.double_divide _let_14 _let_235))) (let ((_let_237 (= _let_185 _let_236))) (let ((_let_238 (= _let_8 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_27)) _let_26) tptp.identity))))) (let ((_let_239 (tptp.double_divide _let_111 _let_120))) (let ((_let_240 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide tptp.identity _let_239))) tptp.identity) tptp.identity))) (let ((_let_241 (tptp.double_divide _let_85 _let_240))) (let ((_let_242 (= _let_239 _let_241))) (let ((_let_243 (tptp.double_divide _let_66 _let_120))) (let ((_let_244 (tptp.double_divide tptp.identity _let_243))) (let ((_let_245 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_244)) tptp.identity) tptp.identity))) (let ((_let_246 (tptp.double_divide _let_85 _let_245))) (let ((_let_247 (= _let_243 _let_246))) (let ((_let_248 (tptp.double_divide _let_57 _let_120))) (let ((_let_249 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide tptp.identity _let_248))) tptp.identity) tptp.identity))) (let ((_let_250 (tptp.double_divide _let_85 _let_249))) (let ((_let_251 (= _let_248 _let_250))) (let ((_let_252 (= _let_31 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_32)) tptp.identity) tptp.identity))))) (let ((_let_253 (= tptp.identity (tptp.double_divide _let_32 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_111 _let_146)) _let_111) tptp.identity))))) (let ((_let_254 (= (tptp.multiply _let_188 tptp.identity) (tptp.double_divide _let_189 tptp.identity)))) (let ((_let_255 (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_154)))) (let ((_let_256 (tptp.double_divide (tptp.double_divide _let_255 _let_48) tptp.identity))) (let ((_let_257 (= _let_256 (tptp.multiply _let_48 _let_255)))) (let ((_let_258 (tptp.double_divide _let_205 tptp.identity))) (let ((_let_259 (= (tptp.multiply tptp.identity _let_205) (tptp.double_divide _let_258 tptp.identity)))) (let ((_let_260 (= _let_159 (tptp.multiply tptp.identity _let_157)))) (let ((_let_261 (= _let_181 (tptp.multiply _let_138 _let_180)))) (let ((_let_262 (tptp.inverse _let_197))) (let ((_let_263 (= (tptp.double_divide _let_197 tptp.identity) _let_262))) (let ((_let_264 (tptp.inverse _let_128))) (let ((_let_265 (= (tptp.double_divide _let_128 tptp.identity) _let_264))) (let ((_let_266 (= _let_163 (tptp.inverse _let_162)))) (let ((_let_267 (= tptp.identity (tptp.double_divide _let_207 _let_208)))) (let ((_let_268 (= tptp.identity (tptp.double_divide _let_196 _let_210)))) (let ((_let_269 (tptp.double_divide _let_192 _let_212))) (let ((_let_270 (= tptp.identity _let_269))) (let ((_let_271 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_160)) _let_85) tptp.identity))) (let ((_let_272 (tptp.double_divide _let_85 _let_271))) (let ((_let_273 (= _let_159 _let_272))) (let ((_let_274 (= _let_240 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_241)) _let_85) tptp.identity))))) (let ((_let_275 (= _let_56 (tptp.double_divide _let_43 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_44 _let_201)) _let_200) tptp.identity))))) (let ((_let_276 (tptp.double_divide _let_55 _let_52))) (let ((_let_277 (= _let_276 (tptp.double_divide _let_43 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_44 (tptp.double_divide tptp.identity _let_276))) tptp.identity) tptp.identity))))) (let ((_let_278 (= _let_243 (tptp.double_divide _let_43 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_44 _let_244)) tptp.identity) tptp.identity))))) (let ((_let_279 (= _let_14 (tptp.double_divide _let_43 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_44 _let_192)) _let_191) tptp.identity))))) (let ((_let_280 (= _let_212 (tptp.double_divide _let_201 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_202 _let_269)) _let_192) tptp.identity))))) (let ((_let_281 (= _let_249 (tptp.double_divide _let_56 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_57 _let_250)) _let_85) tptp.identity))))) (let ((_let_282 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_111 _let_241)) _let_85) tptp.identity))) (let ((_let_283 (tptp.double_divide _let_32 _let_282))) (let ((_let_284 (= _let_240 _let_283))) (let ((_let_285 (= _let_245 (tptp.double_divide _let_21 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_66 _let_246)) _let_85) tptp.identity))))) (let ((_let_286 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_104)) _let_103) tptp.identity))) (let ((_let_287 (tptp.double_divide tptp.identity _let_286))) (let ((_let_288 (= _let_13 _let_287))) (let ((_let_289 (tptp.double_divide tptp.identity (tptp.double_divide _let_8 (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_8 _let_18)) _let_8) tptp.identity)))))) (let ((_let_290 (= tptp.a2 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide _let_289 tptp.a2))) _let_289) tptp.identity))))) (let ((_let_291 (tptp.double_divide tptp.identity _let_126))) (let ((_let_292 (= _let_125 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide _let_291 _let_125))) _let_291) tptp.identity))))) (let ((_let_293 (= _let_9 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_61)) _let_60) tptp.identity))))) (let ((_let_294 (tptp.double_divide tptp.identity (tptp.double_divide _let_91 _let_132)))) (let ((_let_295 (= _let_131 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide _let_294 _let_131))) _let_294) tptp.identity))))) (let ((_let_296 (tptp.double_divide _let_207 _let_154))) (let ((_let_297 (= _let_296 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide tptp.identity _let_296))) tptp.identity) tptp.identity))))) (let ((_let_298 (tptp.double_divide tptp.identity (tptp.double_divide _let_28 (tptp.double_divide _let_28 tptp.identity))))) (let ((_let_299 (= _let_28 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide _let_298 _let_28))) _let_298) tptp.identity))))) (let ((_let_300 (= (tptp.multiply _let_235 _let_14) (tptp.double_divide _let_236 tptp.identity)))) (let ((_let_301 (= _let_221 (tptp.multiply _let_85 _let_220)))) (let ((_let_302 (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_178)))) (let ((_let_303 (tptp.double_divide _let_302 _let_85))) (let ((_let_304 (tptp.double_divide _let_303 tptp.identity))) (let ((_let_305 (= _let_304 (tptp.multiply _let_85 _let_302)))) (let ((_let_306 (= _let_229 (tptp.multiply _let_85 _let_228)))) (let ((_let_307 (= (tptp.multiply tptp.identity _let_224) (tptp.double_divide _let_225 tptp.identity)))) (let ((_let_308 (tptp.double_divide tptp.identity (tptp.double_divide _let_55 _let_169)))) (let ((_let_309 (= (tptp.double_divide (tptp.double_divide _let_308 _let_85) tptp.identity) (tptp.multiply _let_85 _let_308)))) (let ((_let_310 (= (tptp.double_divide _let_256 tptp.identity) (tptp.inverse _let_256)))) (let ((_let_311 (= (tptp.double_divide _let_188 tptp.identity) (tptp.inverse _let_188)))) (let ((_let_312 (= _let_304 (tptp.inverse _let_303)))) (let ((_let_313 (= tptp.identity (tptp.double_divide _let_197 _let_262)))) (let ((_let_314 (= tptp.identity (tptp.double_divide _let_128 _let_264)))) (let ((_let_315 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_70 _let_71)) _let_70))) (let ((_let_316 (= tptp.identity (tptp.double_divide _let_315 (tptp.inverse _let_315))))) (let ((_let_317 (= _let_286 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_287)) tptp.identity) tptp.identity))))) (let ((_let_318 (= _let_282 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_283)) _let_32) tptp.identity))))) (let ((_let_319 (= _let_271 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_272)) _let_85) tptp.identity))))) (let ((_let_320 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_49 _let_85)) _let_84) tptp.identity))) (let ((_let_321 (tptp.double_divide _let_48 _let_320))) (let ((_let_322 (= tptp.a2 _let_321))) (let ((_let_323 (= _let_320 (tptp.double_divide _let_196 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_197 _let_321)) _let_48) tptp.identity))))) (let ((_let_324 (_let_5))) (let ((_let_325 (ASSUME :args _let_324))) (let ((_let_326 (_let_4))) (let ((_let_327 (ASSUME :args _let_326))) (let ((_let_328 ((tptp.double_divide A tptp.identity)))) (let ((_let_329 ((tptp.double_divide B A)))) (let ((_let_330 (_let_3))) (let ((_let_331 (ASSUME :args _let_330))) (let ((_let_332 ((tptp.inverse A)))) (let ((_let_333 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide A tptp.identity) (tptp.double_divide B C))) B) tptp.identity)))))) (let ((_let_334 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_335 (_let_333))) (let ((_let_336 ((tptp.double_divide (tptp.double_divide A tptp.identity) (tptp.double_divide B C))))) (let ((_let_337 (and _let_10 _let_12 _let_15 _let_17 _let_19 _let_24 _let_30 _let_35 _let_37 _let_39 _let_42 _let_46 _let_51 _let_54 _let_58 _let_64 _let_65 _let_67 _let_69 _let_72 _let_74 _let_76 _let_78 _let_82 _let_83 _let_88 _let_93 _let_97 _let_102 _let_105 _let_106 _let_107 _let_109 _let_112 _let_114 _let_115 _let_117 _let_118 _let_119 _let_121 _let_122 _let_123 _let_124 _let_127 _let_130 _let_133 _let_136 _let_137 _let_141 _let_142 _let_144 _let_147 _let_149 _let_151 _let_152 _let_153 _let_155 _let_156 _let_161 _let_165 _let_166 _let_167 _let_170 _let_173 _let_175 _let_179 _let_183 _let_184 _let_187 _let_190 _let_194 _let_198 _let_199 _let_203 _let_204 _let_206 _let_209 _let_211 _let_213 _let_214 _let_215 _let_216 _let_217 _let_218 _let_219 _let_222 _let_223 _let_226 _let_227 _let_230 _let_231 _let_232 _let_233 _let_234 _let_237 _let_238 _let_242 _let_247 _let_251 _let_252 _let_253 _let_254 _let_257 _let_259 _let_260 _let_261 _let_263 _let_265 _let_266 _let_267 _let_268 _let_270 _let_273 _let_274 _let_275 _let_277 _let_278 _let_279 _let_280 _let_281 _let_284 _let_285 _let_288 _let_290 _let_292 _let_293 _let_295 _let_297 _let_299 _let_300 _let_301 _let_305 _let_306 _let_307 _let_309 _let_310 _let_311 _let_312 _let_313 _let_314 _let_316 _let_317 _let_318 _let_319 _let_322 _let_323))) (let ((_let_338 (ASSUME :args (_let_10)))) (let 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_32 _let_85 _let_240 QUANTIFIERS_INST_E_MATCHING _let_336)) :args _let_335)) _let_334 :args (_let_284 false _let_333)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_56 _let_85 _let_249 QUANTIFIERS_INST_E_MATCHING _let_336)) :args _let_335)) _let_334 :args (_let_281 false _let_333)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_201 _let_192 _let_212 QUANTIFIERS_INST_E_MATCHING _let_336)) :args _let_335)) _let_334 :args (_let_280 false _let_333)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_43 _let_191 _let_14 QUANTIFIERS_INST_E_MATCHING _let_336)) :args _let_335)) _let_334 :args (_let_279 false _let_333)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_43 tptp.identity _let_243 QUANTIFIERS_INST_E_MATCHING _let_336)) :args _let_335)) _let_334 :args (_let_278 false _let_333)) 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_let_324)) _let_325 :args (_let_254 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_32 _let_111 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_336)) :args _let_335)) _let_334 :args (_let_253 false _let_333)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (tptp.identity tptp.identity _let_31 QUANTIFIERS_INST_E_MATCHING _let_336)) :args _let_335)) _let_334 :args (_let_252 false _let_333)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_85 tptp.identity _let_248 QUANTIFIERS_INST_E_MATCHING _let_336)) :args _let_335)) _let_334 :args (_let_251 false _let_333)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_85 tptp.identity _let_243 QUANTIFIERS_INST_E_MATCHING _let_336)) :args _let_335)) _let_334 :args (_let_247 false _let_333)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (_let_85 tptp.identity _let_239 QUANTIFIERS_INST_E_MATCHING 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false _let_119 false _let_118 false _let_117 false _let_115 false _let_114 false _let_112 false _let_109 false _let_107 false _let_106 false _let_105 false _let_102 false _let_97 false _let_93 false _let_88 false _let_83 false _let_82 false _let_78 false _let_76 false _let_74 false _let_72 false _let_69 false _let_67 false _let_65 false _let_64 false _let_58 false _let_54 false _let_51 false _let_46 false _let_42 false _let_39 false _let_37 false _let_35 false _let_30 false _let_24 false _let_19 false _let_17 false _let_15 false _let_12 false _let_10 true _let_7)) :args (_let_6 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.16/5.36 )
% 5.16/5.38 % SZS output end Proof for GRP488-1
% 5.16/5.38 % cvc5---1.0.5 exiting
% 5.23/5.38 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------