TSTP Solution File: GRP536-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP536-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 00:26:21 EDT 2023
% Result : Unsatisfiable 1.65s 1.88s
% Output : Proof 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP536-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n017.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 20:50:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.pBVc9ALnLh/cvc5---1.0.5_29166.p...
% 0.23/0.52 ------- get file name : TPTP file name is GRP536-1
% 0.23/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29166.smt2...
% 0.23/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.65/1.88 % SZS status Unsatisfiable for GRP536-1
% 1.65/1.88 % SZS output start Proof for GRP536-1
% 1.65/1.89 (
% 1.65/1.89 (let ((_let_1 (tptp.multiply tptp.b tptp.a))) (let ((_let_2 (tptp.multiply tptp.a tptp.b))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((A $$unsorted)) (= tptp.identity (tptp.divide A A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide (tptp.divide C C) B)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide (tptp.divide A (tptp.divide (tptp.divide A B) C)) B) C)))) (let ((_let_8 (tptp.divide tptp.a tptp.a))) (let ((_let_9 (tptp.divide _let_8 tptp.a))) (let ((_let_10 (tptp.divide tptp.a _let_9))) (let ((_let_11 (tptp.divide _let_10 tptp.a))) (let ((_let_12 (= tptp.a _let_11))) (let ((_let_13 (= tptp.identity _let_8))) (let ((_let_14 (tptp.divide _let_11 tptp.a))) (let ((_let_15 (tptp.divide _let_10 _let_14))) (let ((_let_16 (tptp.divide _let_15 tptp.a))) (let ((_let_17 (= tptp.a _let_16))) (let ((_let_18 (tptp.divide _let_11 _let_9))) (let ((_let_19 (tptp.divide _let_10 _let_18))) (let ((_let_20 (tptp.divide _let_19 tptp.a))) (let ((_let_21 (= _let_9 _let_20))) (let ((_let_22 (tptp.divide tptp.a _let_11))) (let ((_let_23 (tptp.divide _let_22 _let_9))) (let ((_let_24 (= tptp.a _let_23))) (let ((_let_25 (tptp.divide _let_23 tptp.a))) (let ((_let_26 (tptp.divide _let_22 _let_25))) (let ((_let_27 (= tptp.a (tptp.divide _let_26 _let_9)))) (let ((_let_28 (tptp.divide tptp.a _let_15))) (let ((_let_29 (tptp.divide _let_28 _let_9))) (let ((_let_30 (= _let_14 _let_29))) (let ((_let_31 (= tptp.a (tptp.divide (tptp.divide _let_10 _let_16) _let_14)))) (let ((_let_32 (tptp.divide _let_10 _let_20))) (let ((_let_33 (tptp.divide _let_32 _let_18))) (let ((_let_34 (= tptp.a _let_33))) (let ((_let_35 (= tptp.identity (tptp.divide _let_18 _let_18)))) (let ((_let_36 (tptp.divide _let_33 tptp.a))) (let ((_let_37 (tptp.divide _let_32 _let_36))) (let ((_let_38 (tptp.divide _let_37 _let_18))) (let ((_let_39 (= tptp.a _let_38))) (let ((_let_40 (= _let_9 (tptp.divide (tptp.divide _let_32 (tptp.divide _let_33 _let_9)) _let_18)))) (let ((_let_41 (= _let_9 (tptp.divide (tptp.divide tptp.a _let_29) _let_15)))) (let ((_let_42 (tptp.divide _let_33 _let_14))) (let ((_let_43 (tptp.divide _let_32 _let_42))) (let ((_let_44 (tptp.divide _let_43 _let_18))) (let ((_let_45 (= _let_14 _let_44))) (let ((_let_46 (tptp.divide tptp.a _let_32))) (let ((_let_47 (tptp.divide _let_46 _let_9))) (let ((_let_48 (= _let_20 _let_47))) (let ((_let_49 (= _let_1 (tptp.divide tptp.b _let_9)))) (let ((_let_50 (tptp.divide (tptp.divide _let_10 _let_10) tptp.b))) (let ((_let_51 (= _let_2 (tptp.divide tptp.a _let_50)))) (let ((_let_52 (= tptp.identity (tptp.divide _let_25 _let_25)))) (let ((_let_53 (tptp.divide _let_37 (tptp.divide _let_38 _let_15)))) (let ((_let_54 (= _let_15 (tptp.divide _let_53 _let_18)))) (let ((_let_55 (tptp.divide _let_10 _let_37))) (let ((_let_56 (tptp.divide _let_55 _let_20))) (let ((_let_57 (= _let_36 _let_56))) (let ((_let_58 (= _let_18 (tptp.divide (tptp.divide _let_37 (tptp.divide _let_38 _let_18)) _let_18)))) (let ((_let_59 (tptp.divide _let_10 _let_43))) (let ((_let_60 (tptp.divide _let_59 _let_20))) (let ((_let_61 (= _let_42 _let_60))) (let ((_let_62 (= _let_18 (tptp.divide (tptp.divide _let_32 _let_44) _let_42)))) (let ((_let_63 (= _let_9 (tptp.divide (tptp.divide tptp.a _let_47) _let_32)))) (let ((_let_64 (tptp.divide _let_26 tptp.b))) (let ((_let_65 (tptp.divide (tptp.divide _let_22 _let_64) _let_25))) (let ((_let_66 (= tptp.b _let_65))) (let ((_let_67 (tptp.divide _let_56 tptp.b))) (let ((_let_68 (tptp.divide _let_55 _let_67))) (let ((_let_69 (tptp.divide _let_68 _let_20))) (let ((_let_70 (= tptp.b _let_69))) (let ((_let_71 (tptp.divide _let_60 _let_50))) (let ((_let_72 (tptp.divide (tptp.divide _let_59 _let_71) _let_20))) (let ((_let_73 (= _let_50 _let_72))) (let ((_let_74 (tptp.divide _let_47 _let_9))) (let ((_let_75 (tptp.divide _let_46 _let_74))) (let ((_let_76 (tptp.divide tptp.a _let_75))) (let ((_let_77 (tptp.divide _let_76 _let_32))) (let ((_let_78 (= _let_74 _let_77))) (let ((_let_79 (tptp.divide _let_38 _let_14))) (let ((_let_80 (tptp.divide _let_37 _let_79))) (let ((_let_81 (= _let_37 (tptp.divide (tptp.divide _let_37 (tptp.divide _let_80 _let_37)) _let_79)))) (let ((_let_82 (= _let_20 (tptp.divide (tptp.divide _let_10 _let_56) _let_37)))) (let ((_let_83 (= _let_32 (tptp.divide (tptp.divide _let_37 (tptp.divide _let_80 _let_32)) _let_79)))) (let ((_let_84 (tptp.divide _let_56 _let_64))) (let ((_let_85 (tptp.divide (tptp.divide _let_55 _let_84) _let_20))) (let ((_let_86 (= _let_64 _let_85))) (let ((_let_87 (tptp.divide _let_69 _let_9))) (let ((_let_88 (tptp.divide (tptp.divide _let_68 _let_87) _let_20))) (let ((_let_89 (= _let_9 _let_88))) (let ((_let_90 (tptp.divide _let_19 (tptp.divide _let_23 _let_9)))) (let ((_let_91 (tptp.divide _let_10 _let_90))) (let ((_let_92 (tptp.divide (tptp.divide _let_91 _let_18) _let_90))) (let ((_let_93 (tptp.divide (tptp.divide _let_91 (tptp.divide (tptp.divide _let_91 _let_92) tptp.b)) _let_92))) (let ((_let_94 (= tptp.b _let_93))) (let ((_let_95 (= _let_20 (tptp.divide (tptp.divide _let_59 _let_72) _let_71)))) (let ((_let_96 (= _let_32 (tptp.divide (tptp.divide tptp.a _let_77) _let_75)))) (let ((_let_97 (tptp.divide (tptp.divide _let_32 _let_53) _let_84))) (let ((_let_98 (tptp.divide _let_32 _let_97))) (let ((_let_99 (tptp.divide _let_98 _let_53))) (let ((_let_100 (= _let_84 _let_99))) (let ((_let_101 (tptp.divide _let_55 _let_85))) (let ((_let_102 (tptp.divide _let_101 _let_84))) (let ((_let_103 (= _let_20 _let_102))) (let ((_let_104 (tptp.divide _let_65 _let_9))) (let ((_let_105 (tptp.divide _let_99 _let_104))) (let ((_let_106 (= _let_104 (tptp.divide (tptp.divide _let_98 _let_105) _let_53)))) (let ((_let_107 (tptp.divide _let_102 _let_67))) (let ((_let_108 (tptp.divide _let_101 _let_107))) (let ((_let_109 (tptp.divide _let_108 _let_84))) (let ((_let_110 (= _let_67 _let_109))) (let ((_let_111 (= _let_20 (tptp.divide (tptp.divide _let_68 _let_88) _let_87)))) (let ((_let_112 (= _let_71 (tptp.divide (tptp.divide _let_98 (tptp.divide _let_99 _let_71)) _let_53)))) (let ((_let_113 (= _let_84 (tptp.divide (tptp.divide _let_101 _let_109) _let_107)))) (let ((_let_114 (tptp.divide _let_32 _let_99))) (let ((_let_115 (= _let_93 (tptp.divide (tptp.divide _let_114 (tptp.divide (tptp.divide _let_114 _let_97) _let_93)) _let_97)))) (let ((_let_116 (tptp.divide _let_32 (tptp.divide _let_33 _let_15)))) (let ((_let_117 (tptp.divide (tptp.divide _let_116 _let_18) tptp.a))) (let ((_let_118 (tptp.divide (tptp.divide _let_116 _let_117) (tptp.divide (tptp.divide _let_37 (tptp.divide _let_38 _let_50)) _let_18)))) (let ((_let_119 (tptp.divide _let_76 _let_97))) (let ((_let_120 (tptp.divide _let_116 (tptp.divide (tptp.divide _let_116 _let_118) _let_117)))) (let ((_let_121 (= _let_119 (tptp.divide (tptp.divide _let_120 (tptp.divide (tptp.divide _let_120 _let_118) _let_119)) _let_118)))) (let ((_let_122 (= tptp.identity (tptp.divide _let_107 _let_107)))) (let ((_let_123 (= tptp.b (tptp.divide (tptp.divide _let_101 (tptp.divide _let_108 tptp.b)) _let_107)))) (let ((_let_124 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide (tptp.divide A (tptp.divide (tptp.divide A B) C)) B))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_124))) (let ((_let_127 (_let_5))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 ((tptp.divide (tptp.divide A B) C)))) (let ((_let_130 ((not (= (tptp.divide A A) tptp.identity))))) (let ((_let_131 (_let_6))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 ((tptp.multiply A B) (tptp.divide C C)))) (let ((_let_134 (and _let_12 _let_13 _let_17 _let_21 _let_24 _let_27 _let_30 _let_31 _let_34 _let_35 _let_39 _let_40 _let_41 _let_45 _let_48 _let_49 _let_51 _let_52 _let_54 _let_57 _let_58 _let_61 _let_62 _let_63 _let_66 _let_70 _let_73 _let_78 _let_81 _let_82 _let_83 _let_86 _let_89 _let_94 _let_95 _let_96 _let_100 _let_103 _let_106 _let_110 _let_111 _let_112 _let_113 _let_115 _let_121 _let_122 _let_123))) (let ((_let_135 (ASSUME :args (_let_49)))) (let ((_let_136 (APPLY_UF tptp.divide))) (let ((_let_137 (REFL :args (_let_9)))) (let ((_let_138 (ASSUME :args (_let_66)))) (let ((_let_139 (ASSUME :args (_let_106)))) (let ((_let_140 (ASSUME :args (_let_96)))) (let ((_let_141 (ASSUME :args (_let_78)))) (let ((_let_142 (ASSUME :args (_let_21)))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (ASSUME :args (_let_24)))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (ASSUME :args (_let_12)))) (let ((_let_147 (SYMM _let_146))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (REFL :args (tptp.a)))) (let ((_let_150 (CONG _let_149 _let_148 :args _let_136))) (let ((_let_151 (TRANS (CONG _let_150 _let_137 :args _let_136) _let_145))) (let ((_let_152 (CONG _let_148 _let_137 :args _let_136))) (let ((_let_153 (REFL :args (_let_10)))) (let ((_let_154 (CONG _let_153 _let_152 :args _let_136))) (let ((_let_155 (TRANS (CONG _let_154 (SYMM _let_151) :args _let_136) (CONG (REFL :args (_let_19)) _let_151 :args _let_136) _let_143))) (let ((_let_156 (ASSUME :args (_let_48)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (ASSUME :args (_let_27)))) (let ((_let_159 (SYMM _let_150))) (let ((_let_160 (CONG _let_159 (SYMM _let_158) :args _let_136))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (ASSUME :args (_let_41)))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (REFL :args (_let_15)))) (let ((_let_165 (ASSUME :args (_let_30)))) (let ((_let_166 (SYMM (SYMM _let_165)))) (let ((_let_167 (ASSUME :args (_let_17)))) (let ((_let_168 (TRANS (CONG _let_153 (SYMM _let_167) :args _let_136) _let_147))) (let ((_let_169 (ASSUME :args (_let_31)))) (let ((_let_170 (SYMM _let_169))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (CONG (TRANS _let_171 (CONG _let_168 _let_166 :args _let_136)) _let_164 :args _let_136))) (let ((_let_173 (ASSUME :args (_let_121)))) (let ((_let_174 (TRANS (SYMM _let_173) (CONG (TRANS (CONG (TRANS _let_171 (CONG _let_168 (TRANS _let_166 (CONG (REFL :args (_let_28)) (SYMM _let_155) :args _let_136) (CONG (TRANS (TRANS _let_172 _let_163 _let_161) (TRANS _let_160 _let_142 (SYMM _let_157))) _let_155 :args _let_136) (SYMM (SYMM _let_141))) :args _let_136)) (REFL :args (_let_75)) :args _let_136) (SYMM _let_140)) (REFL :args (_let_97)) :args _let_136)))) (let ((_let_175 (ASSUME :args (_let_100)))) (let ((_let_176 (ASSUME :args (_let_57)))) (let ((_let_177 (SYMM (SYMM _let_176)))) (let ((_let_178 (ASSUME :args (_let_34)))) (let ((_let_179 (SYMM (SYMM _let_178)))) (let ((_let_180 (CONG _let_179 _let_149 :args _let_136))) (let ((_let_181 (TRANS _let_180 _let_177))) (let ((_let_182 (CONG (TRANS _let_159 _let_181) (REFL :args (_let_64)) :args _let_136))) (let ((_let_183 (TRANS _let_182 (SYMM (SYMM _let_175))))) (let ((_let_184 (ASSUME :args (_let_70)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (ASSUME :args (_let_113)))) (let ((_let_187 (REFL :args (_let_107)))) (let ((_let_188 (ASSUME :args (_let_110)))) (let ((_let_189 (REFL :args (tptp.b)))) (let ((_let_190 (ASSUME :args (_let_13)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (ASSUME :args (_let_35)))) (let ((_let_194 (REFL :args (_let_18)))) (let ((_let_195 (CONG _let_152 _let_194 :args _let_136))) (let ((_let_196 (TRANS _let_154 _let_195 (SYMM _let_193) _let_192))) (let ((_let_197 (CONG (TRANS _let_196 _let_181) _let_189 :args _let_136))) (let ((_let_198 (SYMM _let_196))) (let ((_let_199 (ASSUME :args (_let_122)))) (let ((_let_200 (ASSUME :args (_let_103)))) (let ((_let_201 (ASSUME :args (_let_82)))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (REFL :args (_let_37)))) (let ((_let_204 (CONG _let_147 _let_149 :args _let_136))) (let ((_let_205 (ASSUME :args (_let_54)))) (let ((_let_206 (ASSUME :args (_let_39)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (CONG (SYMM _let_207) _let_164 :args _let_136))) (let ((_let_209 (SYMM _let_172))) (let ((_let_210 (ASSUME :args (_let_40)))) (let ((_let_211 (SYMM _let_152))) (let ((_let_212 (REFL :args (_let_32)))) (let ((_let_213 (ASSUME :args (_let_58)))) (let ((_let_214 (CONG (TRANS _let_152 (SYMM (SYMM _let_213)) (CONG (CONG _let_203 (TRANS (CONG (TRANS _let_207 (TRANS _let_179 (CONG _let_212 (TRANS _let_211 (CONG _let_179 _let_137 :args _let_136)) :args _let_136))) _let_194 :args _let_136) (SYMM _let_210) _let_162 _let_209 _let_208) :args _let_136) _let_194 :args _let_136) (SYMM _let_205) (CONG _let_153 (TRANS _let_204 _let_180 _let_177) :args _let_136)) _let_203 :args _let_136))) (let ((_let_215 (ASSUME :args (_let_52)))) (let ((_let_216 (SYMM _let_215))) (let ((_let_217 (TRANS _let_159 (CONG _let_144 _let_149 :args _let_136)))) (let ((_let_218 (CONG _let_217 (REFL :args (_let_25)) :args _let_136))) (let ((_let_219 (CONG (TRANS (TRANS _let_218 _let_216 _let_192) _let_198) _let_189 :args _let_136))) (let ((_let_220 (ASSUME :args (_let_86)))) (let ((_let_221 (ASSUME :args (_let_123)))) (let ((_let_222 (ASSUME :args (_let_94)))) (let ((_let_223 (ASSUME :args (_let_115)))) (let ((_let_224 (TRANS (SYMM _let_223) (SYMM _let_222)))) (let ((_let_225 (ASSUME :args (_let_89)))) (let ((_let_226 (ASSUME :args (_let_111)))) (let ((_let_227 (ASSUME :args (_let_95)))) (let ((_let_228 (ASSUME :args (_let_73)))) (let ((_let_229 (ASSUME :args (_let_62)))) (let ((_let_230 (REFL :args (_let_14)))) (let ((_let_231 (CONG (TRANS _let_168 _let_179) _let_230 :args _let_136))) (let ((_let_232 (CONG (TRANS _let_207 (SYMM _let_168)) _let_230 :args _let_136))) (let ((_let_233 (ASSUME :args (_let_45)))) (let ((_let_234 (CONG _let_212 (TRANS (SYMM _let_180) (SYMM _let_204) (SYMM (SYMM _let_233))) :args _let_136))) (let ((_let_235 (CONG _let_234 (TRANS _let_232 _let_231) :args _let_136))) (let ((_let_236 (TRANS _let_235 (SYMM _let_229) _let_211))) (let ((_let_237 (CONG (TRANS (TRANS (CONG (REFL :args (_let_22)) _let_217 :args _let_136) _let_218 _let_216 _let_192) _let_150) _let_137 :args _let_136))) (let ((_let_238 (ASSUME :args (_let_83)))) (let ((_let_239 (SYMM _let_236))) (let ((_let_240 (ASSUME :args (_let_63)))) (let ((_let_241 (ASSUME :args (_let_81)))) (let ((_let_242 (ASSUME :args (_let_112)))) (let ((_let_243 (ASSUME :args (_let_61)))) (let ((_let_244 (ASSUME :args (_let_51)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_134)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_135 _let_138 _let_139 _let_140 _let_146 _let_167 _let_141 _let_156 _let_142 _let_158 _let_162 _let_165 _let_169 _let_144 _let_173 _let_175 _let_176 _let_178 _let_186 _let_213 _let_206 _let_210 _let_205 _let_201 _let_220 _let_215 _let_190 _let_193 _let_188 _let_199 _let_200 _let_221 _let_222 _let_223 _let_184 _let_225 _let_226 _let_227 _let_229 _let_233 _let_238 _let_240 _let_241 _let_228 _let_242 _let_243 _let_244) (SCOPE (TRANS (SYMM (SYMM _let_244)) (CONG (TRANS _let_171 _let_231 (SYMM (SYMM _let_243))) (REFL :args (_let_50)) :args _let_136) (SYMM (SYMM _let_242)) (CONG (TRANS (CONG (SYMM _let_174) (TRANS (CONG (TRANS (SYMM _let_183) (CONG (TRANS _let_159 (TRANS _let_191 _let_193 (SYMM _let_195) (CONG _let_239 (TRANS _let_229 (SYMM _let_235) (CONG _let_203 (TRANS _let_232 _let_170 _let_144 (SYMM _let_237)) :args _let_136) (CONG (TRANS _let_234 (TRANS (SYMM _let_234) (SYMM (SYMM _let_241)) (CONG (TRANS (CONG _let_203 (TRANS (CONG _let_236 _let_203 :args _let_136) _let_214 _let_202 _let_143 _let_162 _let_209 _let_208) :args _let_136) (CONG _let_203 (TRANS (SYMM _let_208) _let_172 _let_163 (SYMM (SYMM _let_240)) (CONG (TRANS (CONG _let_149 (TRANS _let_157 _let_143) :args _let_136) _let_239) _let_212 :args _let_136)) :args _let_136)) (REFL :args (_let_79)) :args _let_136) (SYMM _let_238))) (TRANS _let_237 _let_145 _let_171 _let_231) :args _let_136)) :args _let_136) (CONG _let_236 (REFL :args 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_let_125 :args (_let_70 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_22 _let_25 tptp.b QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_66 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a _let_32 _let_9 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_63 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_32 _let_42 _let_18 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_62 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_10 _let_20 _let_42 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_61 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_37 _let_18 _let_18 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_58 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_10 _let_20 _let_36 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_57 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_37 _let_18 _let_15 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_54 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_127)) _let_128 :args (_let_52 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.a tptp.b _let_10 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_131)) _let_132 :args (_let_51 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.b tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_131)) _let_132 :args (_let_49 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a _let_9 _let_20 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_48 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_32 _let_18 _let_14 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_45 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a _let_15 _let_9 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_41 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_32 _let_18 _let_9 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_40 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_32 _let_18 tptp.a QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_39 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_127)) _let_128 :args (_let_35 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_10 _let_18 tptp.a QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_34 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_10 _let_14 tptp.a QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_31 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a _let_9 _let_14 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_30 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_22 _let_9 tptp.a QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_27 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a _let_9 tptp.a QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_24 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_10 tptp.a _let_9 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_21 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_10 tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_126)) _let_125 :args (_let_17 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_127)) _let_128 :args (_let_13 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_126)) _let_125 :args (_let_12 false _let_124)) (ASSUME :args (_let_4)) :args (false false _let_123 false _let_122 false _let_121 false _let_115 false _let_113 false _let_112 false _let_111 false _let_110 false _let_106 false _let_103 false _let_100 false _let_96 false _let_95 false _let_94 false _let_89 false _let_86 false _let_83 false _let_82 false _let_81 false _let_78 false _let_73 false _let_70 false _let_66 false _let_63 false _let_62 false _let_61 false _let_58 false _let_57 false _let_54 false _let_52 false _let_51 false _let_49 false _let_48 false _let_45 false _let_41 false _let_40 false _let_39 false _let_35 false _let_34 false _let_31 false _let_30 false _let_27 false _let_24 false _let_21 false _let_17 false _let_13 false _let_12 true _let_3)) :args (_let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.inverse A) (tptp.divide (tptp.divide B B) A))) _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.65/1.89 )
% 1.65/1.89 % SZS output end Proof for GRP536-1
% 1.65/1.90 % cvc5---1.0.5 exiting
% 1.65/1.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------