TSTP Solution File: GRP582-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP582-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 00:26:30 EDT 2023

% Result   : Unsatisfiable 0.94s 1.13s
% Output   : Proof 0.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP582-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 21:05:05 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.GhB23HIyvA/cvc5---1.0.5_1056.p...
% 0.21/0.51  ------- get file name : TPTP file name is GRP582-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1056.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.94/1.13  % SZS status Unsatisfiable for GRP582-1
% 0.94/1.13  % SZS output start Proof for GRP582-1
% 0.94/1.15  (
% 0.94/1.15  (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 (tptp.double_divide A (tptp.double_divide (tptp.double_divide tptp.identity B) (tptp.double_divide C (tptp.double_divide B A)))) (tptp.double_divide tptp.identity 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 tptp.a2))) (let ((_let_12 (= _let_8 _let_11))) (let ((_let_13 (tptp.inverse _let_8))) (let ((_let_14 (= _let_9 _let_13))) (let ((_let_15 (tptp.inverse _let_9))) (let ((_let_16 (tptp.double_divide _let_9 tptp.identity))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (= tptp.identity (tptp.double_divide tptp.a2 _let_11)))) (let ((_let_19 (tptp.double_divide _let_8 _let_13))) (let ((_let_20 (= tptp.identity _let_19))) (let ((_let_21 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_22 (tptp.double_divide tptp.a2 _let_19))) (let ((_let_23 (tptp.double_divide tptp.identity _let_8))) (let ((_let_24 (tptp.double_divide _let_23 _let_22))) (let ((_let_25 (tptp.double_divide _let_13 _let_24))) (let ((_let_26 (tptp.double_divide _let_25 _let_21))) (let ((_let_27 (= tptp.a2 _let_26))) (let ((_let_28 (tptp.double_divide _let_13 (tptp.double_divide _let_23 (tptp.double_divide _let_8 _let_19))))) (let ((_let_29 (tptp.double_divide _let_28 _let_21))) (let ((_let_30 (= _let_8 _let_29))) (let ((_let_31 (tptp.double_divide _let_9 _let_19))) (let ((_let_32 (tptp.double_divide _let_23 _let_31))) (let ((_let_33 (tptp.double_divide _let_13 _let_32))) (let ((_let_34 (tptp.double_divide _let_33 _let_21))) (let ((_let_35 (= _let_9 _let_34))) (let ((_let_36 (tptp.double_divide _let_13 (tptp.double_divide _let_23 (tptp.double_divide _let_16 _let_19))))) (let ((_let_37 (tptp.double_divide _let_36 _let_21))) (let ((_let_38 (= _let_16 _let_37))) (let ((_let_39 (tptp.double_divide tptp.a2 _let_8))) (let ((_let_40 (tptp.double_divide tptp.identity tptp.a2))) (let ((_let_41 (tptp.double_divide tptp.identity (tptp.double_divide _let_40 _let_39)))) (let ((_let_42 (tptp.double_divide _let_41 _let_21))) (let ((_let_43 (= tptp.a2 _let_42))) (let ((_let_44 (tptp.double_divide _let_8 _let_9))) (let ((_let_45 (tptp.double_divide tptp.identity (tptp.double_divide _let_23 _let_44)))) (let ((_let_46 (tptp.double_divide _let_45 _let_21))) (let ((_let_47 (= _let_8 _let_46))) (let ((_let_48 (tptp.inverse _let_16))) (let ((_let_49 (tptp.double_divide _let_16 tptp.identity))) (let ((_let_50 (= _let_49 _let_48))) (let ((_let_51 (tptp.double_divide _let_9 _let_15))) (let ((_let_52 (= tptp.identity _let_51))) (let ((_let_53 (tptp.double_divide tptp.identity _let_9))) (let ((_let_54 (= _let_9 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide _let_53 (tptp.double_divide _let_9 _let_51))) _let_21)))) (let ((_let_55 (tptp.double_divide _let_15 (tptp.double_divide _let_53 (tptp.double_divide _let_16 _let_51))))) (let ((_let_56 (tptp.double_divide _let_55 _let_21))) (let ((_let_57 (= _let_16 _let_56))) (let ((_let_58 (tptp.double_divide _let_8 _let_34))) (let ((_let_59 (tptp.double_divide tptp.identity _let_33))) (let ((_let_60 (tptp.double_divide _let_21 (tptp.double_divide _let_59 _let_58)))) (let ((_let_61 (tptp.double_divide _let_60 _let_21))) (let ((_let_62 (= _let_8 _let_61))) (let ((_let_63 (tptp.double_divide tptp.identity _let_51))) (let ((_let_64 (tptp.double_divide _let_15 (tptp.double_divide _let_53 _let_63)))) (let ((_let_65 (tptp.double_divide _let_64 _let_21))) (let ((_let_66 (= tptp.identity _let_65))) (let ((_let_67 (tptp.double_divide tptp.identity (tptp.double_divide _let_40 _let_23)))) (let ((_let_68 (tptp.double_divide _let_67 _let_21))) (let ((_let_69 (= tptp.identity _let_68))) (let ((_let_70 (tptp.double_divide tptp.identity (tptp.double_divide _let_21 _let_26)))) (let ((_let_71 (tptp.double_divide _let_70 _let_21))) (let ((_let_72 (= _let_25 _let_71))) (let ((_let_73 (tptp.double_divide tptp.identity (tptp.double_divide _let_21 _let_29)))) (let ((_let_74 (tptp.double_divide _let_73 _let_21))) (let ((_let_75 (= _let_28 _let_74))) (let ((_let_76 (tptp.double_divide tptp.identity (tptp.double_divide _let_21 _let_34)))) (let ((_let_77 (= _let_33 (tptp.double_divide _let_76 _let_21)))) (let ((_let_78 (tptp.double_divide _let_21 _let_37))) (let ((_let_79 (tptp.double_divide tptp.identity _let_78))) (let ((_let_80 (tptp.double_divide _let_79 _let_21))) (let ((_let_81 (= _let_36 _let_80))) (let ((_let_82 (= _let_41 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_21 _let_42)) _let_21)))) (let ((_let_83 (= _let_45 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_21 _let_46)) _let_21)))) (let ((_let_84 (tptp.double_divide tptp.identity _let_36))) (let ((_let_85 (tptp.double_divide _let_21 (tptp.double_divide _let_84 (tptp.double_divide _let_9 _let_37))))) (let ((_let_86 (tptp.double_divide _let_85 _let_21))) (let ((_let_87 (= _let_9 _let_86))) (let ((_let_88 (tptp.inverse tptp.identity))) (let ((_let_89 (= _let_21 _let_88))) (let ((_let_90 (tptp.double_divide _let_16 _let_48))) (let ((_let_91 (= tptp.identity _let_90))) (let ((_let_92 (tptp.double_divide tptp.identity _let_16))) (let ((_let_93 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide tptp.a2 _let_90))))) (let ((_let_94 (= tptp.a2 (tptp.double_divide _let_93 _let_21)))) (let ((_let_95 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide _let_8 _let_90))))) (let ((_let_96 (= _let_8 (tptp.double_divide _let_95 _let_21)))) (let ((_let_97 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide _let_9 _let_90))))) (let ((_let_98 (= _let_9 (tptp.double_divide _let_97 _let_21)))) (let ((_let_99 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide _let_16 _let_90))))) (let ((_let_100 (= _let_16 (tptp.double_divide _let_99 _let_21)))) (let ((_let_101 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide tptp.identity _let_90))))) (let ((_let_102 (= tptp.identity (tptp.double_divide _let_101 _let_21)))) (let ((_let_103 (tptp.double_divide tptp.identity _let_60))) (let ((_let_104 (tptp.double_divide _let_21 (tptp.double_divide _let_103 (tptp.double_divide tptp.identity _let_61))))) (let ((_let_105 (= tptp.identity (tptp.double_divide _let_104 _let_21)))) (let ((_let_106 (tptp.double_divide _let_21 _let_56))) (let ((_let_107 (= _let_55 (tptp.double_divide (tptp.double_divide tptp.identity _let_106) _let_21)))) (let ((_let_108 (tptp.double_divide tptp.identity _let_45))) (let ((_let_109 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide _let_108 _let_90))))) (let ((_let_110 (tptp.double_divide _let_109 _let_21))) (let ((_let_111 (= _let_108 _let_110))) (let ((_let_112 (tptp.double_divide tptp.a2 _let_46))) (let ((_let_113 (tptp.double_divide _let_112 (tptp.double_divide (tptp.double_divide tptp.identity _let_108) (tptp.double_divide _let_21 (tptp.double_divide _let_108 _let_112)))))) (let ((_let_114 (= _let_21 (tptp.double_divide _let_113 _let_21)))) (let ((_let_115 (tptp.double_divide _let_58 (tptp.double_divide (tptp.double_divide tptp.identity _let_59) _let_60)))) (let ((_let_116 (= _let_21 (tptp.double_divide _let_115 _let_21)))) (let ((_let_117 (= _let_60 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_21 _let_61)) _let_21)))) (let ((_let_118 (tptp.double_divide tptp.identity _let_53))) (let ((_let_119 (tptp.double_divide _let_63 (tptp.double_divide _let_118 _let_64)))) (let ((_let_120 (= _let_15 (tptp.double_divide _let_119 _let_21)))) (let ((_let_121 (tptp.double_divide tptp.identity (tptp.double_divide _let_21 _let_65)))) (let ((_let_122 (tptp.double_divide _let_121 _let_21))) (let ((_let_123 (= _let_64 _let_122))) (let ((_let_124 (= _let_67 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_21 _let_68)) _let_21)))) (let ((_let_125 (tptp.double_divide tptp.identity _let_23))) (let ((_let_126 (tptp.double_divide _let_8 (tptp.double_divide _let_21 _let_125)))) (let ((_let_127 (= tptp.identity (tptp.double_divide _let_126 _let_21)))) (let ((_let_128 (tptp.double_divide _let_22 (tptp.double_divide _let_125 _let_25)))) (let ((_let_129 (tptp.double_divide tptp.identity _let_125))) (let ((_let_130 (tptp.double_divide _let_129 _let_128))) (let ((_let_131 (tptp.double_divide _let_25 _let_130))) (let ((_let_132 (tptp.double_divide _let_131 _let_21))) (let ((_let_133 (= _let_22 _let_132))) (let ((_let_134 (tptp.double_divide _let_31 (tptp.double_divide _let_125 (tptp.double_divide _let_84 _let_32))))) (let ((_let_135 (tptp.double_divide _let_134 _let_21))) (let ((_let_136 (= _let_84 _let_135))) (let ((_let_137 (tptp.double_divide tptp.identity _let_55))) (let ((_let_138 (tptp.double_divide _let_137 _let_106))) (let ((_let_139 (tptp.double_divide _let_21 _let_138))) (let ((_let_140 (= _let_21 (tptp.double_divide _let_139 _let_21)))) (let ((_let_141 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide _let_84 _let_90))))) (let ((_let_142 (= _let_84 (tptp.double_divide _let_141 _let_21)))) (let ((_let_143 (= _let_85 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_21 _let_86)) _let_21)))) (let ((_let_144 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide _let_21 _let_90))))) (let ((_let_145 (tptp.double_divide _let_144 _let_21))) (let ((_let_146 (= _let_21 _let_145))) (let ((_let_147 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide _let_33 _let_90))))) (let ((_let_148 (tptp.double_divide _let_147 _let_21))) (let ((_let_149 (= _let_33 _let_148))) (let ((_let_150 (= (tptp.multiply _let_36 tptp.identity) (tptp.double_divide _let_84 tptp.identity)))) (let ((_let_151 (tptp.double_divide _let_33 tptp.identity))) (let ((_let_152 (= _let_151 (tptp.inverse _let_33)))) (let ((_let_153 (tptp.inverse _let_21))) (let ((_let_154 (tptp.double_divide _let_21 tptp.identity))) (let ((_let_155 (= _let_154 _let_153))) (let ((_let_156 (tptp.inverse _let_108))) (let ((_let_157 (= (tptp.double_divide _let_108 tptp.identity) _let_156))) (let ((_let_158 (= (tptp.double_divide _let_41 tptp.identity) (tptp.inverse _let_41)))) (let ((_let_159 (= tptp.identity (tptp.double_divide tptp.identity _let_88)))) (let ((_let_160 (tptp.inverse _let_40))) (let ((_let_161 (tptp.double_divide _let_40 _let_160))) (let ((_let_162 (= tptp.identity _let_161))) (let ((_let_163 (tptp.double_divide tptp.identity _let_40))) (let ((_let_164 (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide tptp.a2 _let_161))))) (let ((_let_165 (= tptp.a2 (tptp.double_divide _let_164 _let_21)))) (let ((_let_166 (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide _let_8 _let_161))))) (let ((_let_167 (= _let_8 (tptp.double_divide _let_166 _let_21)))) (let ((_let_168 (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide _let_9 _let_161))))) (let ((_let_169 (= _let_9 (tptp.double_divide _let_168 _let_21)))) (let ((_let_170 (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide _let_16 _let_161))))) (let ((_let_171 (= _let_16 (tptp.double_divide _let_170 _let_21)))) (let ((_let_172 (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide tptp.identity _let_161))))) (let ((_let_173 (= tptp.identity (tptp.double_divide _let_172 _let_21)))) (let ((_let_174 (tptp.double_divide tptp.identity _let_144))) (let ((_let_175 (= _let_25 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_25 _let_145))) _let_21)))) (let ((_let_176 (= _let_28 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_28 _let_145))) _let_21)))) (let ((_let_177 (= _let_33 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_33 _let_145))) _let_21)))) (let ((_let_178 (= _let_36 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_36 _let_145))) _let_21)))) (let ((_let_179 (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide _let_108 _let_161))))) (let ((_let_180 (= _let_108 (tptp.double_divide _let_179 _let_21)))) (let ((_let_181 (tptp.double_divide tptp.identity _let_147))) (let ((_let_182 (tptp.double_divide _let_21 (tptp.double_divide _let_181 (tptp.double_divide tptp.identity _let_148))))) (let ((_let_183 (= tptp.identity (tptp.double_divide _let_182 _let_21)))) (let ((_let_184 (= _let_64 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_64 _let_145))) _let_21)))) (let ((_let_185 (tptp.double_divide _let_21 (tptp.double_divide (tptp.double_divide tptp.identity _let_131) (tptp.double_divide _let_21 _let_132))))) (let ((_let_186 (= _let_21 (tptp.double_divide _let_185 _let_21)))) (let ((_let_187 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide _let_32 _let_90))))) (let ((_let_188 (tptp.double_divide _let_21 (tptp.double_divide (tptp.double_divide tptp.identity _let_187) (tptp.double_divide _let_84 (tptp.double_divide _let_187 _let_21)))))) (let ((_let_189 (= _let_84 (tptp.double_divide _let_188 _let_21)))) (let ((_let_190 (= _let_76 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_76 _let_145))) _let_21)))) (let ((_let_191 (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide _let_21 _let_161))))) (let ((_let_192 (= _let_21 (tptp.double_divide _let_191 _let_21)))) (let ((_let_193 (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide _let_45 _let_161))))) (let ((_let_194 (= _let_45 (tptp.double_divide _let_193 _let_21)))) (let ((_let_195 (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide _let_33 _let_161))))) (let ((_let_196 (= _let_33 (tptp.double_divide _let_195 _let_21)))) (let ((_let_197 (tptp.double_divide _let_8 (tptp.double_divide _let_21 (tptp.double_divide _let_103 _let_23))))) (let ((_let_198 (= _let_103 (tptp.double_divide _let_197 _let_21)))) (let ((_let_199 (= _let_104 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_104 _let_145))) _let_21)))) (let ((_let_200 (tptp.double_divide _let_48 (tptp.double_divide _let_92 (tptp.double_divide _let_24 _let_90))))) (let ((_let_201 (tptp.double_divide _let_21 (tptp.double_divide (tptp.double_divide tptp.identity _let_200) (tptp.double_divide _let_103 (tptp.double_divide _let_200 _let_21)))))) (let ((_let_202 (= _let_103 (tptp.double_divide _let_201 _let_21)))) (let ((_let_203 (tptp.double_divide tptp.identity _let_70))) (let ((_let_204 (tptp.double_divide _let_21 (tptp.double_divide _let_203 (tptp.double_divide _let_118 _let_71))))) (let ((_let_205 (= _let_118 (tptp.double_divide _let_204 _let_21)))) (let ((_let_206 (tptp.double_divide tptp.identity _let_73))) (let ((_let_207 (tptp.double_divide _let_21 (tptp.double_divide _let_206 (tptp.double_divide _let_118 _let_74))))) (let ((_let_208 (= _let_118 (tptp.double_divide _let_207 _let_21)))) (let ((_let_209 (= _let_113 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_113 _let_145))) _let_21)))) (let ((_let_210 (= _let_115 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_115 _let_145))) _let_21)))) (let ((_let_211 (tptp.double_divide _let_21 (tptp.double_divide (tptp.double_divide tptp.identity _let_121) (tptp.double_divide _let_118 _let_122))))) (let ((_let_212 (= _let_118 (tptp.double_divide _let_211 _let_21)))) (let ((_let_213 (= _let_119 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_119 _let_145))) _let_21)))) (let ((_let_214 (= _let_121 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_121 _let_145))) _let_21)))) (let ((_let_215 (tptp.double_divide tptp.identity _let_21))) (let ((_let_216 (tptp.double_divide _let_125 (tptp.double_divide _let_215 _let_126)))) (let ((_let_217 (= _let_8 (tptp.double_divide _let_216 _let_21)))) (let ((_let_218 (= _let_126 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_126 _let_145))) _let_21)))) (let ((_let_219 (= _let_131 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_131 _let_145))) _let_21)))) (let ((_let_220 (= tptp.identity (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide tptp.identity _let_145))) _let_21)))) (let ((_let_221 (tptp.double_divide _let_70 (tptp.double_divide _let_21 (tptp.double_divide _let_26 _let_203))))) (let ((_let_222 (= _let_26 (tptp.double_divide _let_221 _let_21)))) (let ((_let_223 (tptp.double_divide _let_73 (tptp.double_divide _let_21 (tptp.double_divide _let_29 _let_206))))) (let ((_let_224 (= _let_29 (tptp.double_divide _let_223 _let_21)))) (let ((_let_225 (= _let_134 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_134 _let_145))) _let_21)))) (let ((_let_226 (tptp.double_divide tptp.identity _let_129))) (let ((_let_227 (tptp.double_divide _let_128 (tptp.double_divide _let_226 (tptp.double_divide _let_33 _let_130))))) (let ((_let_228 (= _let_33 (tptp.double_divide _let_227 _let_21)))) (let ((_let_229 (tptp.double_divide tptp.identity _let_215))) (let ((_let_230 (tptp.double_divide _let_76 (tptp.double_divide _let_229 (tptp.double_divide _let_34 (tptp.double_divide _let_215 _let_76)))))) (let ((_let_231 (= _let_34 (tptp.double_divide _let_230 _let_21)))) (let ((_let_232 (tptp.double_divide _let_37 (tptp.double_divide _let_215 (tptp.double_divide _let_137 _let_78))))) (let ((_let_233 (= _let_137 (tptp.double_divide _let_232 _let_21)))) (let ((_let_234 (= _let_139 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_139 _let_145))) _let_21)))) (let ((_let_235 (tptp.double_divide _let_79 (tptp.double_divide _let_229 (tptp.double_divide _let_37 (tptp.double_divide _let_215 _let_79)))))) (let ((_let_236 (= _let_37 (tptp.double_divide _let_235 _let_21)))) (let ((_let_237 (tptp.double_divide _let_39 (tptp.double_divide _let_163 _let_41)))) (let ((_let_238 (tptp.double_divide tptp.identity _let_163))) (let ((_let_239 (tptp.double_divide _let_237 (tptp.double_divide (tptp.double_divide tptp.identity _let_238) (tptp.double_divide _let_41 (tptp.double_divide _let_238 _let_237)))))) (let ((_let_240 (= _let_41 (tptp.double_divide _let_239 _let_21)))) (let ((_let_241 (tptp.double_divide _let_44 (tptp.double_divide _let_125 _let_28)))) (let ((_let_242 (tptp.double_divide _let_241 (tptp.double_divide _let_226 (tptp.double_divide _let_28 (tptp.double_divide _let_129 _let_241)))))) (let ((_let_243 (= _let_28 (tptp.double_divide _let_242 _let_21)))) (let ((_let_244 (tptp.double_divide _let_53 (tptp.double_divide _let_49 _let_51)))) (let ((_let_245 (tptp.double_divide _let_15 _let_244))) (let ((_let_246 (tptp.double_divide _let_244 (tptp.double_divide (tptp.double_divide tptp.identity _let_15) (tptp.double_divide _let_118 _let_245))))) (let ((_let_247 (= _let_118 (tptp.double_divide _let_246 _let_21)))) (let ((_let_248 (= _let_141 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_141 _let_145))) _let_21)))) (let ((_let_249 (= _let_147 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_174 (tptp.double_divide _let_147 _let_145))) _let_21)))) (let ((_let_250 (tptp.double_divide _let_16 (tptp.double_divide _let_245 _let_21)))) (let ((_let_251 (tptp.double_divide tptp.identity _let_245))) (let ((_let_252 (tptp.double_divide _let_250 (tptp.double_divide (tptp.double_divide tptp.identity _let_251) (tptp.double_divide _let_21 (tptp.double_divide _let_251 _let_250)))))) (let ((_let_253 (tptp.double_divide _let_252 _let_21))) (let ((_let_254 (= _let_21 _let_253))) (let ((_let_255 (= _let_151 (tptp.double_divide (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide _let_151 _let_161))) _let_21)))) (let ((_let_256 (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide _let_154 _let_161))))) (let ((_let_257 (tptp.double_divide _let_256 _let_21))) (let ((_let_258 (= _let_154 _let_257))) (let ((_let_259 (tptp.double_divide _let_45 tptp.identity))) (let ((_let_260 (= _let_259 (tptp.double_divide (tptp.double_divide _let_160 (tptp.double_divide _let_163 (tptp.double_divide _let_259 _let_161))) _let_21)))) (let ((_let_261 (tptp.double_divide _let_21 _let_80))) (let ((_let_262 (= (tptp.multiply _let_80 _let_21) (tptp.double_divide _let_261 tptp.identity)))) (let ((_let_263 (= (tptp.multiply _let_21 _let_109) (tptp.double_divide _let_110 tptp.identity)))) (let ((_let_264 (= (tptp.multiply _let_21 _let_134) (tptp.double_divide _let_135 tptp.identity)))) (let ((_let_265 (= (tptp.double_divide _let_125 tptp.identity) (tptp.inverse _let_125)))) (let ((_let_266 (= (tptp.double_divide _let_151 tptp.identity) (tptp.inverse _let_151)))) (let ((_let_267 (= tptp.identity (tptp.double_divide _let_21 _let_153)))) (let ((_let_268 (= tptp.identity (tptp.double_divide _let_108 _let_156)))) (let ((_let_269 (tptp.double_divide tptp.identity _let_252))) (let ((_let_270 (= _let_25 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_25 _let_253))) _let_21)))) (let ((_let_271 (= _let_28 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_28 _let_253))) _let_21)))) (let ((_let_272 (= _let_33 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_33 _let_253))) _let_21)))) (let ((_let_273 (= _let_36 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_36 _let_253))) _let_21)))) (let ((_let_274 (= _let_64 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_64 _let_253))) _let_21)))) (let ((_let_275 (= _let_70 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_70 _let_253))) _let_21)))) (let ((_let_276 (= _let_76 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_76 _let_253))) _let_21)))) (let ((_let_277 (= _let_109 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_109 _let_253))) _let_21)))) (let ((_let_278 (= _let_113 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_113 _let_253))) _let_21)))) (let ((_let_279 (tptp.double_divide tptp.identity _let_256))) (let ((_let_280 (= tptp.identity (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_279 (tptp.double_divide tptp.identity _let_257))) _let_21)))) (let ((_let_281 (= _let_134 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_134 _let_253))) _let_21)))) (let ((_let_282 (= _let_164 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_164 _let_253))) _let_21)))) (let ((_let_283 (= _let_166 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_166 _let_253))) _let_21)))) (let ((_let_284 (= _let_172 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_172 _let_253))) _let_21)))) (let ((_let_285 (= _let_179 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_179 _let_253))) _let_21)))) (let ((_let_286 (= _let_181 (tptp.double_divide (tptp.double_divide _let_33 (tptp.double_divide _let_21 (tptp.double_divide _let_181 _let_59))) _let_21)))) (let ((_let_287 (= _let_182 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_182 _let_253))) _let_21)))) (let ((_let_288 (= _let_191 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_191 _let_253))) _let_21)))) (let ((_let_289 (= _let_193 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_193 _let_253))) _let_21)))) (let ((_let_290 (= _let_195 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_195 _let_253))) _let_21)))) (let ((_let_291 (= _let_197 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_197 _let_253))) _let_21)))) (let ((_let_292 (= _let_201 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_201 _let_253))) _let_21)))) (let ((_let_293 (= _let_204 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_204 _let_253))) _let_21)))) (let ((_let_294 (= _let_207 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_207 _let_253))) _let_21)))) (let ((_let_295 (= _let_211 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_211 _let_253))) _let_21)))) (let ((_let_296 (= _let_125 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_125 _let_253))) _let_21)))) (let ((_let_297 (= _let_216 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_216 _let_253))) _let_21)))) (let ((_let_298 (= _let_221 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_221 _let_253))) _let_21)))) (let ((_let_299 (= _let_223 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_223 _let_253))) _let_21)))) (let ((_let_300 (= _let_227 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_227 _let_253))) _let_21)))) (let ((_let_301 (= _let_230 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_230 _let_253))) _let_21)))) (let ((_let_302 (= _let_232 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_232 _let_253))) _let_21)))) (let ((_let_303 (= _let_235 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_235 _let_253))) _let_21)))) (let ((_let_304 (= _let_239 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_239 _let_253))) _let_21)))) (let ((_let_305 (= _let_242 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_242 _let_253))) _let_21)))) (let ((_let_306 (= _let_246 (tptp.double_divide (tptp.double_divide _let_21 (tptp.double_divide _let_269 (tptp.double_divide _let_246 _let_253))) _let_21)))) (let ((_let_307 (= _let_21 (tptp.double_divide (tptp.double_divide 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_let_27 _let_30 _let_35 _let_38 _let_43 _let_47 _let_50 _let_52 _let_54 _let_57 _let_62 _let_66 _let_69 _let_72 _let_75 _let_77 _let_81 _let_82 _let_83 _let_87 _let_89 _let_91 _let_94 _let_96 _let_98 _let_100 _let_102 _let_105 _let_107 _let_111 _let_114 _let_116 _let_117 _let_120 _let_123 _let_124 _let_127 _let_133 _let_136 _let_140 _let_142 _let_143 _let_146 _let_149 _let_150 _let_152 _let_155 _let_157 _let_158 _let_159 _let_162 _let_165 _let_167 _let_169 _let_171 _let_173 _let_175 _let_176 _let_177 _let_178 _let_180 _let_183 _let_184 _let_186 _let_189 _let_190 _let_192 _let_194 _let_196 _let_198 _let_199 _let_202 _let_205 _let_208 _let_209 _let_210 _let_212 _let_213 _let_214 _let_217 _let_218 _let_219 _let_220 _let_222 _let_224 _let_225 _let_228 _let_231 _let_233 _let_234 _let_236 _let_240 _let_243 _let_247 _let_248 _let_249 _let_254 _let_255 _let_258 _let_260 _let_262 _let_263 _let_264 _let_265 _let_266 _let_267 _let_268 _let_270 _let_271 _let_272 _let_273 _let_274 _let_275 _let_276 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_let_305 _let_306 _let_307))) :args (true _let_321)) :args ((or _let_7 (not _let_10) (not _let_12) (not _let_14) (not _let_17) (not _let_18) (not _let_20) (not _let_27) (not _let_30) (not _let_35) (not _let_38) (not _let_43) (not _let_47) (not _let_50) (not _let_52) (not _let_54) (not _let_57) (not _let_62) (not _let_66) (not _let_69) (not _let_72) (not _let_75) (not _let_77) (not _let_81) (not _let_82) (not _let_83) (not _let_87) (not _let_89) (not _let_91) (not _let_94) (not _let_96) (not _let_98) (not _let_100) (not _let_102) (not _let_105) (not _let_107) (not _let_111) (not _let_114) (not _let_116) (not _let_117) (not _let_120) (not _let_123) (not _let_124) (not _let_127) (not _let_133) (not _let_136) (not _let_140) (not _let_142) (not _let_143) (not _let_146) (not _let_149) (not _let_150) (not _let_152) (not _let_155) (not _let_157) (not _let_158) (not _let_159) (not _let_162) (not _let_165) (not _let_167) (not _let_169) (not _let_171) (not _let_173) (not _let_175) (not _let_176) 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_let_315)) :args _let_313)) _let_314 :args (_let_267 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_311 :args (_let_151 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_312)) :args _let_310))) _let_311 :args (_let_266 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_311 :args (_let_125 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_312)) :args _let_310))) _let_311 :args (_let_265 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_309 :args (_let_21 _let_134 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_320)) :args _let_308)) _let_309 :args (_let_264 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_309 :args (_let_21 _let_109 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_320)) :args _let_308)) _let_309 :args (_let_263 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_309 :args (_let_80 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_320)) :args _let_308)) _let_309 :args (_let_262 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (_let_160 _let_40 _let_259 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_318)) _let_317 :args (_let_260 false _let_316)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (_let_160 _let_40 _let_154 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_318)) _let_317 :args (_let_258 false _let_316)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (_let_160 _let_40 _let_151 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_318)) _let_317 :args (_let_255 false _let_316)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (_let_250 _let_251 _let_21 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_318)) _let_317 :args (_let_254 false _let_316)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (_let_21 _let_144 _let_147 QUANTIFIERS_INST_E_MATCHING _let_319)) 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:args (_let_47 false _let_316)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (tptp.identity tptp.a2 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_318)) _let_317 :args (_let_43 false _let_316)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (_let_13 _let_8 _let_16 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_318)) _let_317 :args (_let_38 false _let_316)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (_let_13 _let_8 _let_9 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_318)) _let_317 :args (_let_35 false _let_316)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (_let_13 _let_8 _let_8 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_318)) _let_317 :args (_let_30 false _let_316)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (_let_13 _let_8 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_318)) _let_317 :args (_let_27 false 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_309 :args (tptp.identity tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply A B)))) :args _let_308)) _let_309 :args (_let_10 false _let_5)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_307 false _let_306 false _let_305 false _let_304 false _let_303 false _let_302 false _let_301 false _let_300 false _let_299 false _let_298 false _let_297 false _let_296 false _let_295 false _let_294 false _let_293 false _let_292 false _let_291 false _let_290 false _let_289 false _let_288 false _let_287 false _let_286 false _let_285 false _let_284 false _let_283 false _let_282 false _let_281 false _let_280 false _let_278 false _let_277 false _let_276 false _let_275 false _let_274 false _let_273 false _let_272 false _let_271 false _let_270 false _let_268 false _let_267 false _let_266 false _let_265 false _let_264 false _let_263 false _let_262 false _let_260 false _let_258 false _let_255 false _let_254 false _let_249 false _let_248 false _let_247 false _let_243 false _let_240 false _let_236 false _let_234 false _let_233 false _let_231 false _let_228 false _let_225 false _let_224 false _let_222 false _let_220 false _let_219 false _let_218 false _let_217 false _let_214 false _let_213 false _let_212 false _let_210 false _let_209 false _let_208 false _let_205 false _let_202 false _let_199 false _let_198 false _let_196 false _let_194 false _let_192 false _let_190 false _let_189 false _let_186 false _let_184 false _let_183 false _let_180 false _let_178 false _let_177 false _let_176 false _let_175 false _let_173 false _let_171 false _let_169 false _let_167 false _let_165 false _let_162 false _let_159 false _let_158 false _let_157 false _let_155 false _let_152 false _let_150 false _let_149 false _let_146 false _let_143 false _let_142 false _let_140 false _let_136 false _let_133 false _let_127 false _let_124 false _let_123 false _let_120 false _let_117 false _let_116 false _let_114 false _let_111 false _let_107 false _let_105 false _let_102 false _let_100 false _let_98 false _let_96 false _let_94 false _let_91 false _let_89 false _let_87 false _let_83 false _let_82 false _let_81 false _let_77 false _let_75 false _let_72 false _let_69 false _let_66 false _let_62 false _let_57 false _let_54 false _let_52 false _let_50 false _let_47 false _let_43 false _let_38 false _let_35 false _let_30 false _let_27 false _let_20 false _let_18 false _let_17 false _let_14 false _let_12 false _let_10 true _let_7)) :args (_let_6 _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.94/1.15  )
% 0.94/1.16  % SZS output end Proof for GRP582-1
% 0.94/1.16  % cvc5---1.0.5 exiting
% 0.94/1.16  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------