0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : do_cvc5 %s %d 0.12/0.34 % Computer : n002.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1200 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Jul 13 10:50:03 EDT 2021 0.12/0.34 % CPUTime : 0.20/0.48 %----THF division 0.20/0.48 ------- cvc5-thf casc 28 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 120... 0.20/0.48 --- Run --ho-elim --full-saturate-quant at 10... 10.29/10.51 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10... 20.39/20.58 --- Run --ho-elim --no-e-matching --fs-sum --full-saturate-quant at 10... 30.54/30.76 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5... 35.57/35.80 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5... 36.17/36.41 % SZS status Theorem for theBenchmark 36.17/36.42 % SZS output start Proof for theBenchmark 36.17/36.42 (proof 36.17/36.42 (let ((_let_1 ((cP_1 b) b))) (let ((_let_2 (forall ((Xx $$unsorted)) ((cP_1 d) Xx)))) (let ((_let_3 (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not ((cP_1 Xx) Xy)) ((cP_1 (f Xx)) Xy))))) (let ((_let_4 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (((cQ_1 Xx) Xy) Xz)) (not ((cP_1 (f Xx)) Xu)) (not ((cP_1 (f Xz)) Xw)) (((cQ_2 Xu) Xv) Xw) (not ((cP_1 (f Xy)) Xv)))))) (let ((_let_5 ((cP_2 a) a))) (let ((_let_6 ((cP_2 b) b))) (let ((_let_7 ((cP_2 c) c))) (let ((_let_8 (forall ((Xx $$unsorted)) ((cP_2 d) Xx)))) (let ((_let_9 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (((cQ_2 Xx) Xy) Xz)) (not ((cP_2 (f Xz)) Xw)) (((cQ_3 Xu) Xv) Xw) (not ((cP_2 (f Xy)) Xv)) (not ((cP_2 (f Xx)) Xu)))))) (let ((_let_10 ((cP_3 b) b))) (let ((_let_11 ((cP_3 c) c))) (let ((_let_12 (forall ((Xx $$unsorted) (Xy $$unsorted)) (or ((cP_3 (f Xx)) Xy) (not ((cP_3 Xx) Xy)))))) (let ((_let_13 ((cP_4 c) c))) (let ((_let_14 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (((cQ_4 Xx) Xy) Xz)) (((cQ_5 Xu) Xv) Xw) (not ((cP_4 (f Xz)) Xw)) (not ((cP_4 (f Xy)) Xv)) (not ((cP_4 (f Xx)) Xu)))))) (let ((_let_15 ((cP_5 b) b))) (let ((_let_16 (forall ((Xx $$unsorted)) ((cP_5 d) Xx)))) (let ((_let_17 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not ((cP_5 (f Xy)) Xv)) (not ((cP_5 (f Xz)) Xw)) (((cQ_6 Xu) Xv) Xw) (not ((cP_5 (f Xx)) Xu)) (not (((cQ_5 Xx) Xy) Xz)))))) (let ((_let_18 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (((cQ_6 Xx) Xy) Xz)) (not ((cP_6 (f Xx)) Xu)) (not ((cP_6 (f Xz)) Xw)) (((cQ_7 Xu) Xv) Xw) (not ((cP_6 (f Xy)) Xv)))))) (let ((_let_19 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (not (((cQ_7 Xx) Xy) Xz))))) (let ((_let_20 (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not ((cP_6 Xx) Xy)) ((cP_6 (f Xx)) Xy))))) (let ((_let_21 (forall ((Xx $$unsorted)) ((cP_6 d) Xx)))) (let ((_let_22 ((cP_6 c) c))) (let ((_let_23 ((cP_6 b) b))) (let ((_let_24 ((cP_6 a) a))) (let ((_let_25 (forall ((Xx $$unsorted) (Xy $$unsorted)) (or ((cP_5 (f Xx)) Xy) (not ((cP_5 Xx) Xy)))))) (let ((_let_26 ((cP_5 c) c))) (let ((_let_27 ((cP_5 a) a))) (let ((_let_28 (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not ((cP_4 Xx) Xy)) ((cP_4 (f Xx)) Xy))))) (let ((_let_29 (forall ((Xx $$unsorted)) ((cP_4 d) Xx)))) (let ((_let_30 ((cP_4 b) b))) (let ((_let_31 ((cP_4 a) a))) (let ((_let_32 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (((cQ_3 Xx) Xy) Xz)) (not ((cP_3 (f Xx)) Xu)) (not ((cP_3 (f Xz)) Xw)) (((cQ_4 Xu) Xv) Xw) (not ((cP_3 (f Xy)) Xv)))))) (let ((_let_33 (forall ((Xx $$unsorted)) ((cP_3 d) Xx)))) (let ((_let_34 ((cP_3 a) a))) (let ((_let_35 (forall ((Xx $$unsorted) (Xy $$unsorted)) (or ((cP_2 (f Xx)) Xy) (not ((cP_2 Xx) Xy)))))) (let ((_let_36 ((cP_1 c) c))) (let ((_let_37 ((cP_1 a) a))) (let ((_let_38 (((cQ_1 a) b) c))) (let ((_let_39 (not (not (and _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))) (let ((_let_40 (f c))) (let ((_let_41 (cP_3 _let_40 c))) (let ((_let_42 (f a))) (let ((_let_43 (cP_3 _let_42 a))) (let ((_let_44 (f b))) (let ((_let_45 (cP_3 _let_44 b))) (let ((_let_46 (not _let_45))) (let ((_let_47 (cQ_4 a b c))) (let ((_let_48 (not _let_41))) (let ((_let_49 (not _let_43))) (let ((_let_50 (cQ_3 a b c))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49 _let_48 _let_47 _let_46))) (let ((_let_53 (cP_3 c c))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_41 _let_54))) (let ((_let_56 (18))) (let ((_let_57 (cP_1 b b))) (let ((_let_58 (THEORY_PREPROCESS |:args| ((= _let_1 _let_57))))) (let ((_let_59 (_let_3))) (let ((_let_60 (REFL |:args| _let_59))) (let ((_let_61 (_let_4))) (let ((_let_62 (REFL |:args| _let_61))) (let ((_let_63 (cP_2 a a))) (let ((_let_64 (THEORY_PREPROCESS |:args| ((= _let_5 _let_63))))) (let ((_let_65 (cP_2 b b))) (let ((_let_66 (THEORY_PREPROCESS |:args| ((= _let_6 _let_65))))) (let ((_let_67 (cP_2 c c))) (let ((_let_68 (THEORY_PREPROCESS |:args| ((= _let_7 _let_67))))) (let ((_let_69 (_let_9))) (let ((_let_70 (REFL |:args| _let_69))) (let ((_let_71 (cP_3 b b))) (let ((_let_72 (THEORY_PREPROCESS |:args| ((= _let_10 _let_71))))) (let ((_let_73 (THEORY_PREPROCESS |:args| ((= _let_11 _let_53))))) (let ((_let_74 (_let_12))) (let ((_let_75 (REFL |:args| _let_74))) (let ((_let_76 (cP_4 c c))) (let ((_let_77 (THEORY_PREPROCESS |:args| ((= _let_13 _let_76))))) (let ((_let_78 (_let_14))) (let ((_let_79 (REFL |:args| _let_78))) (let ((_let_80 (cP_5 b b))) (let ((_let_81 (THEORY_PREPROCESS |:args| ((= _let_15 _let_80))))) (let ((_let_82 (_let_17))) (let ((_let_83 (REFL |:args| _let_82))) (let ((_let_84 (_let_18))) (let ((_let_85 (REFL |:args| _let_84))) (let ((_let_86 (_let_19))) (let ((_let_87 (REFL |:args| _let_86))) (let ((_let_88 (_let_20))) (let ((_let_89 (REFL |:args| _let_88))) (let ((_let_90 (cP_6 c c))) (let ((_let_91 (THEORY_PREPROCESS |:args| ((= _let_22 _let_90))))) (let ((_let_92 (cP_6 b b))) (let ((_let_93 (THEORY_PREPROCESS |:args| ((= _let_23 _let_92))))) (let ((_let_94 (cP_6 a a))) (let ((_let_95 (THEORY_PREPROCESS |:args| ((= _let_24 _let_94))))) (let ((_let_96 (_let_25))) (let ((_let_97 (REFL |:args| _let_96))) (let ((_let_98 (cP_5 c c))) (let ((_let_99 (THEORY_PREPROCESS |:args| ((= _let_26 _let_98))))) (let ((_let_100 (cP_5 a a))) (let ((_let_101 (THEORY_PREPROCESS |:args| ((= _let_27 _let_100))))) (let ((_let_102 (_let_28))) (let ((_let_103 (REFL |:args| _let_102))) (let ((_let_104 (cP_4 b b))) (let ((_let_105 (THEORY_PREPROCESS |:args| ((= _let_30 _let_104))))) (let ((_let_106 (cP_4 a a))) (let ((_let_107 (THEORY_PREPROCESS |:args| ((= _let_31 _let_106))))) (let ((_let_108 (_let_32))) (let ((_let_109 (REFL |:args| _let_108))) (let ((_let_110 (cP_3 a a))) (let ((_let_111 (THEORY_PREPROCESS |:args| ((= _let_34 _let_110))))) (let ((_let_112 (_let_35))) (let ((_let_113 (REFL |:args| _let_112))) (let ((_let_114 (cP_1 c c))) (let ((_let_115 (THEORY_PREPROCESS |:args| ((= _let_36 _let_114))))) (let ((_let_116 (cP_1 a a))) (let ((_let_117 (THEORY_PREPROCESS |:args| ((= _let_37 _let_116))))) (let ((_let_118 (cQ_1 a b c))) (let ((_let_119 (THEORY_PREPROCESS |:args| ((= _let_38 _let_118))))) (let ((_let_120 (EQ_RESOLVE (ASSUME |:args| (_let_39)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_39 7 12)) (CONG _let_119 _let_117 _let_115 _let_113 _let_111 (REFL |:args| (_let_33)) _let_109 _let_107 _let_105 (REFL |:args| (_let_29)) _let_103 _let_101 _let_99 _let_97 _let_95 _let_93 _let_91 (REFL |:args| (_let_21)) _let_89 _let_87 _let_85 _let_83 (REFL |:args| (_let_16)) _let_81 _let_79 _let_77 _let_75 _let_73 _let_72 _let_70 (REFL |:args| (_let_8)) _let_68 _let_66 _let_64 _let_62 _let_60 (REFL |:args| (_let_2)) _let_58 |:args| _let_56))))) (let ((_let_121 (AND_ELIM _let_120 |:args| (26)))) (let ((_let_122 (19))) (let ((_let_123 (20))) (let ((_let_124 (17))) (let ((_let_125 (29))) (let ((_let_126 (REFL |:args| (c)))) (let ((_let_127 (THEORY_PREPROCESS |:args| ((= (f c) _let_40))))) (let ((_let_128 (REFL |:args| (cP_3)))) (let ((_let_129 (TRANS (CONG (CONG _let_128 _let_127 |:args| _let_125) _let_126 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_3 _let_40) c) _let_41)))))) (let ((_let_130 (c c))) (let ((_let_131 (ASSUME |:args| _let_74))) (let ((_let_132 (not _let_110))) (let ((_let_133 (or _let_43 _let_132))) (let ((_let_134 (REFL |:args| (a)))) (let ((_let_135 (THEORY_PREPROCESS |:args| ((= (f a) _let_42))))) (let ((_let_136 (TRANS (CONG (CONG _let_128 _let_135 |:args| _let_125) _let_134 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_3 _let_42) a) _let_43)))))) (let ((_let_137 (a a))) (let ((_let_138 (not _let_71))) (let ((_let_139 (or _let_45 _let_138))) (let ((_let_140 (REFL |:args| (b)))) (let ((_let_141 (THEORY_PREPROCESS |:args| ((= (f b) _let_44))))) (let ((_let_142 (TRANS (CONG (CONG _let_128 _let_141 |:args| _let_125) _let_140 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_3 _let_44) b) _let_45)))))) (let ((_let_143 (b b))) (let ((_let_144 (THEORY_PREPROCESS |:args| ((= (((cQ_4 a) b) c) _let_47))))) (let ((_let_145 (THEORY_PREPROCESS |:args| ((= (((cQ_3 a) b) c) _let_50))))) (let ((_let_146 (a b c a b c))) (let ((_let_147 (cP_2 _let_42 a))) (let ((_let_148 (not _let_147))) (let ((_let_149 (cP_2 _let_44 b))) (let ((_let_150 (not _let_149))) (let ((_let_151 (cP_2 _let_40 c))) (let ((_let_152 (not _let_151))) (let ((_let_153 (cQ_2 a b c))) (let ((_let_154 (not _let_153))) (let ((_let_155 (or _let_154 _let_152 _let_50 _let_150 _let_148))) (let ((_let_156 (REFL |:args| (cP_2)))) (let ((_let_157 (TRANS (CONG (CONG _let_156 _let_135 |:args| _let_125) _let_134 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_2 _let_42) a) _let_147)))))) (let ((_let_158 (TRANS (CONG (CONG _let_156 _let_141 |:args| _let_125) _let_140 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_2 _let_44) b) _let_149)))))) (let ((_let_159 (TRANS (CONG (CONG _let_156 _let_127 |:args| _let_125) _let_126 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_2 _let_40) c) _let_151)))))) (let ((_let_160 (THEORY_PREPROCESS |:args| ((= (((cQ_2 a) b) c) _let_153))))) (let ((_let_161 (cP_1 _let_44 b))) (let ((_let_162 (not _let_161))) (let ((_let_163 (cP_1 _let_40 c))) (let ((_let_164 (not _let_163))) (let ((_let_165 (cP_1 _let_42 a))) (let ((_let_166 (not _let_165))) (let ((_let_167 (not _let_118))) (let ((_let_168 (or _let_167 _let_166 _let_164 _let_153 _let_162))) (let ((_let_169 (REFL |:args| (cP_1)))) (let ((_let_170 (TRANS (CONG (CONG _let_169 _let_141 |:args| _let_125) _let_140 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_1 _let_44) b) _let_161)))))) (let ((_let_171 (TRANS (CONG (CONG _let_169 _let_127 |:args| _let_125) _let_126 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_1 _let_40) c) _let_163)))))) (let ((_let_172 (TRANS (CONG (CONG _let_169 _let_135 |:args| _let_125) _let_134 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_1 _let_42) a) _let_165)))))) (let ((_let_173 (not _let_57))) (let ((_let_174 (or _let_173 _let_161))) (let ((_let_175 (AND_ELIM _let_120 |:args| (35)))) (let ((_let_176 (ASSUME |:args| _let_59))) (let ((_let_177 (not _let_116))) (let ((_let_178 (or _let_177 _let_165))) (let ((_let_179 (not _let_114))) (let ((_let_180 (or _let_179 _let_163))) (let ((_let_181 (not _let_65))) (let ((_let_182 (or _let_149 _let_181))) (let ((_let_183 (AND_ELIM _let_120 |:args| (3)))) (let ((_let_184 (ASSUME |:args| _let_112))) (let ((_let_185 (not _let_63))) (let ((_let_186 (or _let_147 _let_185))) (let ((_let_187 (not _let_67))) (let ((_let_188 (or _let_151 _let_187))) (let ((_let_189 (cP_4 _let_42 a))) (let ((_let_190 (not _let_189))) (let ((_let_191 (cP_4 _let_44 b))) (let ((_let_192 (not _let_191))) (let ((_let_193 (cP_4 _let_40 c))) (let ((_let_194 (not _let_193))) (let ((_let_195 (cQ_5 a b c))) (let ((_let_196 (not _let_47))) (let ((_let_197 (or _let_196 _let_195 _let_194 _let_192 _let_190))) (let ((_let_198 (REFL |:args| (cP_4)))) (let ((_let_199 (TRANS (CONG (CONG _let_198 _let_135 |:args| _let_125) _let_134 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_4 _let_42) a) _let_189)))))) (let ((_let_200 (TRANS (CONG (CONG _let_198 _let_141 |:args| _let_125) _let_140 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_4 _let_44) b) _let_191)))))) (let ((_let_201 (TRANS (CONG (CONG _let_198 _let_127 |:args| _let_125) _let_126 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_4 _let_40) c) _let_193)))))) (let ((_let_202 (THEORY_PREPROCESS |:args| ((= (((cQ_5 a) b) c) _let_195))))) (let ((_let_203 (not _let_195))) (let ((_let_204 (cP_5 _let_42 a))) (let ((_let_205 (not _let_204))) (let ((_let_206 (cQ_6 a b c))) (let ((_let_207 (cP_5 _let_40 c))) (let ((_let_208 (not _let_207))) (let ((_let_209 (cP_5 _let_44 b))) (let ((_let_210 (not _let_209))) (let ((_let_211 (or _let_210 _let_208 _let_206 _let_205 _let_203))) (let ((_let_212 (REFL |:args| (cP_5)))) (let ((_let_213 (TRANS (CONG (CONG _let_212 _let_135 |:args| _let_125) _let_134 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_5 _let_42) a) _let_204)))))) (let ((_let_214 (THEORY_PREPROCESS |:args| ((= (((cQ_6 a) b) c) _let_206))))) (let ((_let_215 (TRANS (CONG (CONG _let_212 _let_127 |:args| _let_125) _let_126 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_5 _let_40) c) _let_207)))))) (let ((_let_216 (TRANS (CONG (CONG _let_212 _let_141 |:args| _let_125) _let_140 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_5 _let_44) b) _let_209)))))) (let ((_let_217 (cP_6 _let_44 b))) (let ((_let_218 (not _let_217))) (let ((_let_219 (cQ_7 a b c))) (let ((_let_220 (cP_6 _let_40 c))) (let ((_let_221 (not _let_220))) (let ((_let_222 (cP_6 _let_42 a))) (let ((_let_223 (not _let_222))) (let ((_let_224 (not _let_206))) (let ((_let_225 (or _let_224 _let_223 _let_221 _let_219 _let_218))) (let ((_let_226 (REFL |:args| (cP_6)))) (let ((_let_227 (TRANS (CONG (CONG _let_226 _let_141 |:args| _let_125) _let_140 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_6 _let_44) b) _let_217)))))) (let ((_let_228 (THEORY_PREPROCESS |:args| ((= (((cQ_7 a) b) c) _let_219))))) (let ((_let_229 (TRANS (CONG (CONG _let_226 _let_127 |:args| _let_125) _let_126 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_6 _let_40) c) _let_220)))))) (let ((_let_230 (TRANS (CONG (CONG _let_226 _let_135 |:args| _let_125) _let_134 |:args| _let_125) (THEORY_PREPROCESS |:args| ((= ((cP_6 _let_42) a) _let_222)))))) (let ((_let_231 (not _let_92))) (let ((_let_232 (or _let_231 _let_217))) (let ((_let_233 (AND_ELIM _let_120 |:args| _let_56))) (let ((_let_234 (ASSUME |:args| _let_88))) (let ((_let_235 (not _let_94))) (let ((_let_236 (or _let_235 _let_222))) (let ((_let_237 (not _let_90))) (let ((_let_238 (or _let_237 _let_220))) (let ((_let_239 (not _let_80))) (let ((_let_240 (or _let_209 _let_239))) (let ((_let_241 (AND_ELIM _let_120 |:args| (13)))) (let ((_let_242 (ASSUME |:args| _let_96))) (let ((_let_243 (not _let_100))) (let ((_let_244 (or _let_204 _let_243))) (let ((_let_245 (not _let_98))) (let ((_let_246 (or _let_207 _let_245))) (let ((_let_247 (not _let_104))) (let ((_let_248 (or _let_247 _let_191))) (let ((_let_249 (AND_ELIM _let_120 |:args| (10)))) (let ((_let_250 (ASSUME |:args| _let_102))) (let ((_let_251 (not _let_106))) (let ((_let_252 (or _let_251 _let_189))) (let ((_let_253 (not _let_76))) (let ((_let_254 (or _let_253 _let_193))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_52)) |:args| ((or _let_48 _let_49 _let_46 _let_47 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_197)) |:args| ((or _let_194 _let_190 _let_192 _let_196 _let_195 (not _let_197)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_254)) |:args| ((or _let_253 _let_193 (not _let_254)))) (AND_ELIM _let_120 |:args| (25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_250 |:args| _let_130) |:args| _let_102) (CONG _let_103 (CONG (CONG _let_77 |:args| _let_124) _let_201 |:args| _let_123) |:args| _let_122))) _let_249 |:args| (_let_254 false _let_28)) |:args| (_let_193 false _let_76 false _let_254)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_252)) |:args| ((or _let_251 _let_189 (not _let_252)))) (AND_ELIM _let_120 |:args| (7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_250 |:args| _let_137) |:args| _let_102) (CONG _let_103 (CONG (CONG _let_107 |:args| _let_124) _let_199 |:args| 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_let_122))) _let_241 |:args| (_let_240 false _let_25)) |:args| (_let_209 false _let_80 false _let_240)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_225)) |:args| ((or _let_221 _let_223 _let_218 _let_219 _let_224 (not _let_225)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_238)) |:args| ((or _let_237 _let_220 (not _let_238)))) (AND_ELIM _let_120 |:args| (16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_234 |:args| _let_130) |:args| _let_88) (CONG _let_89 (CONG (CONG _let_91 |:args| _let_124) _let_229 |:args| _let_123) |:args| _let_122))) _let_233 |:args| (_let_238 false _let_20)) |:args| (_let_220 false _let_90 false _let_238)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_236)) |:args| ((or _let_235 _let_222 (not _let_236)))) (AND_ELIM _let_120 |:args| (14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_234 |:args| _let_137) |:args| _let_88) (CONG _let_89 (CONG (CONG _let_95 |:args| _let_124) _let_230 |:args| _let_123) |:args| _let_122))) _let_233 |:args| (_let_236 false _let_20)) |:args| (_let_222 false _let_94 false _let_236)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_232)) |:args| ((or _let_231 _let_217 (not _let_232)))) (AND_ELIM _let_120 |:args| (15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_234 |:args| _let_143) |:args| _let_88) (CONG _let_89 (CONG (CONG _let_93 |:args| _let_124) _let_227 |:args| _let_123) |:args| _let_122))) _let_233 |:args| (_let_232 false _let_20)) |:args| (_let_217 false _let_92 false _let_232)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME |:args| _let_86) |:args| (a b c)) |:args| _let_86) (CONG _let_87 (CONG _let_228 |:args| _let_124) |:args| _let_122))) (AND_ELIM _let_120 |:args| _let_122) |:args| ((not _let_219) false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME |:args| _let_84) |:args| _let_146) |:args| _let_84) (CONG _let_85 (CONG (CONG _let_214 |:args| _let_124) (CONG _let_230 |:args| _let_124) (CONG _let_229 |:args| _let_124) _let_228 (CONG _let_227 |:args| _let_124) |:args| _let_123) |:args| _let_122))) (AND_ELIM _let_120 |:args| _let_123) |:args| (_let_225 false _let_18)) |:args| (_let_224 false _let_220 false _let_222 false _let_217 true _let_219 false _let_225)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME |:args| _let_82) |:args| _let_146) |:args| _let_82) (CONG _let_83 (CONG (CONG _let_216 |:args| _let_124) (CONG _let_215 |:args| _let_124) _let_214 (CONG _let_213 |:args| _let_124) (CONG _let_202 |:args| _let_124) |:args| _let_123) |:args| _let_122))) (AND_ELIM _let_120 |:args| (21)) |:args| (_let_211 false _let_17)) |:args| (_let_203 false _let_207 false _let_204 false _let_209 true _let_206 false _let_211)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME |:args| _let_78) |:args| _let_146) |:args| _let_78) (CONG _let_79 (CONG (CONG _let_144 |:args| _let_124) _let_202 (CONG _let_201 |:args| _let_124) (CONG _let_200 |:args| _let_124) (CONG _let_199 |:args| _let_124) |:args| _let_123) |:args| _let_122))) (AND_ELIM _let_120 |:args| (24)) |:args| (_let_197 false _let_14)) |:args| (_let_196 false _let_193 false _let_189 false _let_191 true _let_195 false _let_197)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_155)) |:args| ((or _let_152 _let_148 _let_150 _let_50 _let_154 (not _let_155)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_188)) |:args| ((or _let_187 _let_151 (not _let_188)))) (AND_ELIM _let_120 |:args| (31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_184 |:args| _let_130) |:args| _let_112) (CONG _let_113 (CONG _let_159 (CONG _let_68 |:args| _let_124) |:args| _let_123) |:args| _let_122))) _let_183 |:args| (_let_188 false _let_35)) |:args| (_let_151 false _let_67 false _let_188)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_186)) |:args| ((or _let_185 _let_147 (not _let_186)))) (AND_ELIM _let_120 |:args| (33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_184 |:args| _let_137) |:args| _let_112) (CONG _let_113 (CONG _let_157 (CONG _let_64 |:args| _let_124) |:args| _let_123) |:args| _let_122))) _let_183 |:args| (_let_186 false _let_35)) |:args| (_let_147 false _let_63 false _let_186)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_182)) |:args| ((or _let_181 _let_149 (not _let_182)))) (AND_ELIM _let_120 |:args| (32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_184 |:args| _let_143) |:args| _let_112) (CONG _let_113 (CONG _let_158 (CONG _let_66 |:args| _let_124) |:args| _let_123) |:args| _let_122))) _let_183 |:args| (_let_182 false _let_35)) |:args| (_let_149 false _let_65 false _let_182)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_168)) |:args| ((or _let_167 _let_164 _let_166 _let_162 _let_153 (not _let_168)))) (AND_ELIM _let_120 |:args| (0)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_180)) |:args| ((or _let_179 _let_163 (not _let_180)))) (AND_ELIM _let_120 |:args| (2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_176 |:args| _let_130) |:args| _let_59) (CONG _let_60 (CONG (CONG _let_115 |:args| _let_124) _let_171 |:args| _let_123) |:args| _let_122))) _let_175 |:args| (_let_180 false _let_3)) |:args| (_let_163 false _let_114 false _let_180)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_178)) |:args| ((or _let_177 _let_165 (not _let_178)))) (AND_ELIM _let_120 |:args| (1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_176 |:args| _let_137) |:args| _let_59) (CONG _let_60 (CONG (CONG _let_117 |:args| _let_124) _let_172 |:args| _let_123) |:args| _let_122))) _let_175 |:args| (_let_178 false _let_3)) |:args| (_let_165 false _let_116 false _let_178)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_174)) |:args| ((or _let_173 _let_161 (not _let_174)))) (AND_ELIM _let_120 |:args| (37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_176 |:args| _let_143) |:args| _let_59) (CONG _let_60 (CONG (CONG _let_58 |:args| _let_124) _let_170 |:args| _let_123) |:args| _let_122))) _let_175 |:args| (_let_174 false _let_3)) |:args| (_let_161 false _let_57 false _let_174)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME |:args| _let_61) |:args| _let_146) |:args| _let_61) (CONG _let_62 (CONG (CONG _let_119 |:args| _let_124) (CONG _let_172 |:args| _let_124) (CONG _let_171 |:args| _let_124) _let_160 (CONG _let_170 |:args| _let_124) |:args| _let_123) |:args| _let_122))) (AND_ELIM _let_120 |:args| (34)) |:args| (_let_168 false _let_4)) |:args| (_let_153 false _let_118 false _let_163 false _let_165 false _let_161 false _let_168)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME |:args| _let_69) |:args| _let_146) |:args| _let_69) (CONG _let_70 (CONG (CONG _let_160 |:args| _let_124) (CONG _let_159 |:args| _let_124) _let_145 (CONG _let_158 |:args| _let_124) (CONG _let_157 |:args| _let_124) |:args| _let_123) |:args| _let_122))) (AND_ELIM _let_120 |:args| _let_125) |:args| (_let_155 false _let_9)) |:args| (_let_50 false _let_151 false _let_147 false _let_149 false _let_153 false _let_155)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME |:args| _let_108) |:args| _let_146) |:args| _let_108) (CONG _let_109 (CONG (CONG _let_145 |:args| _let_124) (CONG _let_136 |:args| _let_124) (CONG _let_129 |:args| _let_124) _let_144 (CONG _let_142 |:args| _let_124) |:args| _let_123) |:args| _let_122))) (AND_ELIM _let_120 |:args| (6)) |:args| (_let_52 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_139)) |:args| ((or _let_138 _let_45 (not _let_139)))) (AND_ELIM _let_120 |:args| (28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_131 |:args| _let_143) |:args| _let_74) (CONG _let_75 (CONG _let_142 (CONG _let_72 |:args| _let_124) |:args| _let_123) |:args| _let_122))) _let_121 |:args| (_let_139 false _let_12)) |:args| (_let_45 false _let_71 false _let_139)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_133)) |:args| ((or _let_132 _let_43 (not _let_133)))) (AND_ELIM _let_120 |:args| (4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_131 |:args| _let_137) |:args| _let_74) (CONG _let_75 (CONG _let_136 (CONG _let_111 |:args| _let_124) |:args| _let_123) |:args| _let_122))) _let_121 |:args| (_let_133 false _let_12)) |:args| (_let_43 false _let_110 false _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_55)) |:args| ((or _let_54 _let_41 (not _let_55)))) (AND_ELIM _let_120 |:args| (27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_131 |:args| _let_130) |:args| _let_74) (CONG _let_75 (CONG _let_129 (CONG _let_73 |:args| _let_124) |:args| _let_123) |:args| _let_122))) _let_121 |:args| (_let_55 false _let_12)) |:args| (_let_41 false _let_53 false _let_55)) |:args| (false true _let_47 false _let_50 false _let_52 false _let_45 false _let_43 false _let_41)) |:args| (_let_39 (not false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 36.17/36.42 ) 36.17/36.42 % SZS output end Proof for theBenchmark 36.17/36.43 EOF