TSTP Solution File: GRP116-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP116-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:24:24 EDT 2023
% Result : Unsatisfiable 0.22s 0.62s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP116-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n014.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 22:24:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6pQYDH6e5D/cvc5---1.0.5_12131.p...
% 0.22/0.51 ------- get file name : TPTP file name is GRP116-1
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12131.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.62 % SZS status Unsatisfiable for GRP116-1
% 0.22/0.62 % SZS output start Proof for GRP116-1
% 0.22/0.64 (
% 0.22/0.64 (let ((_let_1 (tptp.multiply tptp.identity tptp.a))) (let ((_let_2 (not (= _let_1 tptp.a)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.multiply (tptp.multiply X (tptp.multiply (tptp.multiply X Y) Z)) (tptp.multiply tptp.identity (tptp.multiply Z Z)))) Y)))) (let ((_let_4 (= tptp.a _let_1))) (let ((_let_5 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_6 (tptp.multiply tptp.identity _let_5))) (let ((_let_7 (tptp.multiply _let_5 tptp.identity))) (let ((_let_8 (tptp.multiply (tptp.multiply tptp.identity _let_7) _let_6))) (let ((_let_9 (tptp.multiply tptp.identity _let_8))) (let ((_let_10 (= tptp.identity _let_9))) (let ((_let_11 (= _let_8 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_9 tptp.identity)) _let_6))))) (let ((_let_12 (= _let_7 (tptp.multiply tptp.identity (tptp.multiply _let_9 (tptp.multiply tptp.identity (tptp.multiply _let_6 _let_6))))))) (let ((_let_13 (tptp.multiply tptp.a tptp.a))) (let ((_let_14 (tptp.multiply tptp.identity _let_13))) (let ((_let_15 (tptp.multiply _let_13 tptp.a))) (let ((_let_16 (tptp.multiply tptp.a _let_15))) (let ((_let_17 (tptp.multiply _let_16 _let_14))) (let ((_let_18 (tptp.multiply tptp.a _let_17))) (let ((_let_19 (= tptp.a _let_18))) (let ((_let_20 (tptp.multiply _let_17 _let_17))) (let ((_let_21 (tptp.multiply tptp.identity _let_20))) (let ((_let_22 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_17)) _let_21))) (let ((_let_23 (= _let_17 (tptp.multiply tptp.a _let_22)))) (let ((_let_24 (tptp.multiply _let_14 _let_14))) (let ((_let_25 (tptp.multiply tptp.identity _let_24))) (let ((_let_26 (tptp.multiply _let_18 _let_25))) (let ((_let_27 (tptp.multiply tptp.a _let_26))) (let ((_let_28 (= _let_15 _let_27))) (let ((_let_29 (tptp.multiply tptp.identity (tptp.multiply _let_26 _let_26)))) (let ((_let_30 (= _let_17 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_26)) _let_29))))) (let ((_let_31 (tptp.multiply _let_22 _let_22))) (let ((_let_32 (tptp.multiply tptp.identity _let_31))) (let ((_let_33 (= _let_17 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_22)) _let_32))))) (let ((_let_34 (tptp.multiply _let_21 _let_21))) (let ((_let_35 (tptp.multiply tptp.identity _let_34))) (let ((_let_36 (tptp.multiply tptp.a (tptp.multiply _let_13 _let_21)))) (let ((_let_37 (tptp.multiply _let_36 _let_35))) (let ((_let_38 (tptp.multiply tptp.a _let_37))) (let ((_let_39 (= tptp.a _let_38))) (let ((_let_40 (tptp.multiply _let_25 _let_25))) (let ((_let_41 (tptp.multiply tptp.identity _let_40))) (let ((_let_42 (= _let_13 _let_41))) (let ((_let_43 (tptp.multiply _let_27 _let_41))) (let ((_let_44 (tptp.multiply tptp.a _let_43))) (let ((_let_45 (= _let_17 _let_44))) (let ((_let_46 (tptp.multiply _let_40 _let_40))) (let ((_let_47 (tptp.multiply tptp.identity _let_46))) (let ((_let_48 (tptp.multiply tptp.identity (tptp.multiply _let_5 _let_40)))) (let ((_let_49 (tptp.multiply _let_48 _let_47))) (let ((_let_50 (tptp.multiply tptp.identity _let_49))) (let ((_let_51 (= tptp.identity _let_50))) (let ((_let_52 (= _let_37 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_38 _let_26)) _let_29))))) (let ((_let_53 (tptp.multiply _let_43 _let_43))) (let ((_let_54 (tptp.multiply tptp.identity _let_53))) (let ((_let_55 (= _let_37 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_38 _let_43)) _let_54))))) (let ((_let_56 (tptp.multiply tptp.identity (tptp.multiply _let_29 _let_29)))) (let ((_let_57 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_16 _let_29)) _let_56))) (let ((_let_58 (tptp.multiply tptp.a _let_57))) (let ((_let_59 (= _let_15 _let_58))) (let ((_let_60 (tptp.multiply _let_32 _let_32))) (let ((_let_61 (tptp.multiply tptp.identity _let_60))) (let ((_let_62 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_38 _let_32)) _let_61))) (let ((_let_63 (tptp.multiply tptp.a _let_62))) (let ((_let_64 (= _let_37 _let_63))) (let ((_let_65 (tptp.multiply _let_35 _let_35))) (let ((_let_66 (tptp.multiply tptp.identity _let_65))) (let ((_let_67 (= _let_20 _let_66))) (let ((_let_68 (tptp.multiply tptp.a (tptp.multiply _let_44 _let_35)))) (let ((_let_69 (tptp.multiply _let_68 _let_66))) (let ((_let_70 (tptp.multiply tptp.a _let_69))) (let ((_let_71 (= _let_43 _let_70))) (let ((_let_72 (tptp.multiply _let_41 _let_41))) (let ((_let_73 (tptp.multiply tptp.identity _let_72))) (let ((_let_74 (= _let_24 _let_73))) (let ((_let_75 (tptp.multiply _let_44 _let_73))) (let ((_let_76 (tptp.multiply tptp.a _let_75))) (let ((_let_77 (= _let_26 _let_76))) (let ((_let_78 (= _let_49 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_50 _let_40)) _let_47))))) (let ((_let_79 (tptp.multiply (tptp.multiply _let_17 (tptp.multiply (tptp.multiply _let_17 _let_35) _let_35)) _let_66))) (let ((_let_80 (= _let_35 (tptp.multiply _let_17 _let_79)))) (let ((_let_81 (tptp.multiply _let_65 _let_65))) (let ((_let_82 (tptp.multiply tptp.identity _let_81))) (let ((_let_83 (= _let_49 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_50 _let_65)) _let_82))))) (let ((_let_84 (tptp.multiply tptp.identity (tptp.multiply _let_72 _let_72)))) (let ((_let_85 (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_50 _let_72)) _let_84))) (let ((_let_86 (tptp.multiply tptp.identity _let_85))) (let ((_let_87 (= _let_49 _let_86))) (let ((_let_88 (= _let_57 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_58 _let_41)) _let_73))))) (let ((_let_89 (tptp.multiply _let_54 _let_54))) (let ((_let_90 (tptp.multiply tptp.identity _let_89))) (let ((_let_91 (= _let_17 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_54)) _let_90))))) (let ((_let_92 (tptp.multiply tptp.identity (tptp.multiply _let_56 _let_56)))) (let ((_let_93 (= _let_62 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_63 _let_56)) _let_92))))) (let ((_let_94 (tptp.multiply _let_61 _let_61))) (let ((_let_95 (tptp.multiply tptp.identity _let_94))) (let ((_let_96 (= _let_31 _let_95))) (let ((_let_97 (= _let_62 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_63 _let_61)) _let_95))))) (let ((_let_98 (tptp.multiply _let_66 _let_66))) (let ((_let_99 (tptp.multiply tptp.identity _let_98))) (let ((_let_100 (= _let_34 _let_99))) (let ((_let_101 (= _let_62 (tptp.multiply _let_68 (tptp.multiply (tptp.multiply _let_68 (tptp.multiply (tptp.multiply _let_68 _let_62) _let_17)) _let_21))))) (let ((_let_102 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_66)) _let_99))) (let ((_let_103 (tptp.multiply tptp.a _let_102))) (let ((_let_104 (= _let_17 _let_103))) (let ((_let_105 (tptp.multiply _let_73 _let_73))) (let ((_let_106 (tptp.multiply tptp.identity _let_105))) (let ((_let_107 (= _let_40 _let_106))) (let ((_let_108 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_63 _let_73)) _let_106))) (let ((_let_109 (= _let_62 (tptp.multiply tptp.a _let_108)))) (let ((_let_110 (= _let_85 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_86 _let_65)) _let_82))))) (let ((_let_111 (= _let_102 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_103 _let_56)) _let_92))))) (let ((_let_112 (tptp.multiply tptp.identity (tptp.multiply _let_98 _let_98)))) (let ((_let_113 (= _let_85 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_86 _let_98)) _let_112))))) (let ((_let_114 (tptp.multiply tptp.identity (tptp.multiply _let_79 _let_79)))) (let ((_let_115 (tptp.multiply (tptp.multiply _let_36 (tptp.multiply _let_37 _let_79)) _let_114))) (let ((_let_116 (= _let_35 (tptp.multiply _let_36 _let_115)))) (let ((_let_117 (= _let_105 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_106 _let_40)) _let_47))))) (let ((_let_118 (tptp.multiply tptp.identity (tptp.multiply _let_62 _let_62)))) (let ((_let_119 (= _let_17 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_118)) (tptp.multiply tptp.identity (tptp.multiply _let_118 _let_118))))))) (let ((_let_120 (tptp.multiply (tptp.multiply _let_17 (tptp.multiply _let_20 _let_66)) _let_99))) (let ((_let_121 (= _let_17 (tptp.multiply _let_17 _let_120)))) (let ((_let_122 (tptp.multiply _let_47 _let_47))) (let ((_let_123 (tptp.multiply tptp.identity (tptp.multiply _let_14 _let_47)))) (let ((_let_124 (tptp.multiply (tptp.multiply _let_123 (tptp.multiply (tptp.multiply _let_123 _let_85) _let_122)) (tptp.multiply tptp.identity (tptp.multiply _let_122 _let_122))))) (let ((_let_125 (= _let_85 (tptp.multiply _let_123 _let_124)))) (let ((_let_126 (tptp.multiply tptp.identity (tptp.multiply _let_90 _let_90)))) (let ((_let_127 (= _let_53 _let_126))) (let ((_let_128 (= _let_102 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_103 _let_90)) _let_126))))) (let ((_let_129 (tptp.multiply tptp.identity (tptp.multiply _let_92 _let_92)))) (let ((_let_130 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_27 _let_92)) _let_129))) (let ((_let_131 (tptp.multiply tptp.a _let_130))) (let ((_let_132 (= _let_26 _let_131))) (let ((_let_133 (tptp.multiply tptp.identity (tptp.multiply _let_95 _let_95)))) (let ((_let_134 (= _let_60 _let_133))) (let ((_let_135 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_103 _let_95)) _let_133))) (let ((_let_136 (= _let_102 (tptp.multiply tptp.a _let_135)))) (let ((_let_137 (tptp.multiply _let_99 _let_99))) (let ((_let_138 (tptp.multiply tptp.identity _let_137))) (let ((_let_139 (= _let_65 _let_138))) (let ((_let_140 (tptp.multiply (tptp.multiply _let_68 (tptp.multiply _let_69 _let_21)) _let_35))) (let ((_let_141 (= _let_66 (tptp.multiply _let_68 _let_140)))) (let ((_let_142 (tptp.multiply tptp.a (tptp.multiply _let_70 _let_99)))) (let ((_let_143 (tptp.multiply _let_142 _let_138))) (let ((_let_144 (= _let_69 (tptp.multiply tptp.a _let_143)))) (let ((_let_145 (tptp.multiply tptp.identity (tptp.multiply _let_106 _let_106)))) (let ((_let_146 (= _let_72 _let_145))) (let ((_let_147 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_76 _let_106)) _let_145))) (let ((_let_148 (= _let_75 (tptp.multiply tptp.a _let_147)))) (let ((_let_149 (tptp.multiply (tptp.multiply _let_25 (tptp.multiply (tptp.multiply _let_25 _let_84) _let_24)) (tptp.multiply tptp.identity (tptp.multiply _let_24 _let_24))))) (let ((_let_150 (= _let_84 (tptp.multiply _let_25 _let_149)))) (let ((_let_151 (tptp.multiply (tptp.multiply _let_48 (tptp.multiply _let_49 _let_46)) (tptp.multiply tptp.identity (tptp.multiply _let_46 _let_46))))) (let ((_let_152 (= _let_13 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_14 _let_151)) (tptp.multiply tptp.identity (tptp.multiply _let_151 _let_151))))))) (let ((_let_153 (= _let_137 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_138 _let_65)) _let_82))))) (let ((_let_154 (= _let_143 (tptp.multiply _let_68 (tptp.multiply (tptp.multiply _let_68 (tptp.multiply (tptp.multiply _let_68 _let_143) _let_21)) _let_35))))) (let ((_let_155 (= _let_130 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_131 _let_106)) _let_145))))) (let ((_let_156 (= _let_34 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_35 _let_112)) (tptp.multiply tptp.identity (tptp.multiply _let_112 _let_112))))))) (let ((_let_157 (tptp.multiply _let_82 _let_82))) (let ((_let_158 (tptp.multiply tptp.identity _let_157))) (let ((_let_159 (= _let_81 (tptp.multiply tptp.identity (tptp.multiply _let_158 _let_158))))) (let ((_let_160 (= _let_89 (tptp.multiply tptp.identity (tptp.multiply _let_126 _let_126))))) (let ((_let_161 (= _let_98 (tptp.multiply tptp.identity (tptp.multiply _let_138 _let_138))))) (let ((_let_162 (= _let_135 (tptp.multiply _let_68 (tptp.multiply (tptp.multiply _let_68 (tptp.multiply (tptp.multiply _let_68 _let_135) _let_35)) _let_66))))) (let ((_let_163 (= _let_115 (tptp.multiply _let_142 (tptp.multiply (tptp.multiply _let_142 (tptp.multiply (tptp.multiply _let_142 _let_115) _let_35)) _let_66))))) (let ((_let_164 (= _let_32 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a _let_32) tptp.a)) _let_14))))) (let ((_let_165 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Y (tptp.multiply X (tptp.multiply (tptp.multiply X (tptp.multiply (tptp.multiply X Y) Z)) (tptp.multiply tptp.identity (tptp.multiply Z Z)))))))) (let ((_let_166 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_167 (_let_165))) (let ((_let_168 ((tptp.multiply X (tptp.multiply (tptp.multiply X Y) Z))))) (let ((_let_169 (and _let_10 _let_11 _let_12 _let_19 _let_23 _let_28 _let_30 _let_33 _let_39 _let_42 _let_45 _let_51 _let_52 _let_55 _let_59 _let_64 _let_67 _let_71 _let_74 _let_77 _let_78 _let_80 _let_83 _let_87 _let_88 _let_91 _let_93 _let_96 _let_97 _let_100 _let_101 _let_104 _let_107 _let_109 _let_110 _let_111 _let_113 _let_116 _let_117 _let_119 _let_121 _let_125 _let_127 _let_128 _let_132 _let_134 _let_136 _let_139 _let_141 _let_144 _let_146 _let_148 _let_150 _let_152 _let_153 _let_154 _let_155 _let_156 _let_159 _let_160 _let_161 _let_162 _let_163 _let_164))) (let ((_let_170 (APPLY_UF tptp.multiply))) (let ((_let_171 (ASSUME :args (_let_19)))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (ASSUME :args (_let_30)))) (let ((_let_174 (SYMM _let_173))) (let ((_let_175 (REFL :args (_let_29)))) (let ((_let_176 (REFL :args (_let_26)))) (let ((_let_177 (ASSUME :args (_let_28)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (REFL :args (tptp.a)))) (let ((_let_181 (CONG _let_180 (TRANS _let_179 (CONG _let_171 _let_176 :args _let_170)) :args _let_170))) (let ((_let_182 (ASSUME :args (_let_39)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (CONG _let_183 _let_176 :args _let_170))) (let ((_let_185 (CONG _let_180 (CONG (TRANS (CONG _let_180 (TRANS _let_184 _let_178) :args _let_170) _let_181) _let_175 :args _let_170) :args _let_170))) (let ((_let_186 (ASSUME :args (_let_52)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (SYMM _let_187))) (let ((_let_189 (REFL :args (_let_35)))) (let ((_let_190 (REFL :args (_let_21)))) (let ((_let_191 (REFL :args (_let_17)))) (let ((_let_192 (CONG _let_180 (TRANS (CONG _let_172 _let_191 :args _let_170) _let_172) :args _let_170))) (let ((_let_193 (CONG _let_171 (REFL :args (_let_22)) :args _let_170))) (let ((_let_194 (ASSUME :args (_let_23)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (TRANS (SYMM _let_195) _let_193 (CONG _let_172 (CONG _let_192 _let_190 :args _let_170) :args _let_170)))) (let ((_let_197 (TRANS (CONG _let_196 _let_189 :args _let_170) _let_188 _let_185 _let_174))) (let ((_let_198 (CONG (TRANS _let_197 _let_196) _let_189 :args _let_170))) (let ((_let_199 (ASSUME :args (_let_116)))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (REFL :args (_let_115)))) (let ((_let_202 (ASSUME :args (_let_121)))) (let ((_let_203 (SYMM _let_196))) (let ((_let_204 (TRANS (CONG _let_203 (REFL :args (_let_120)) :args _let_170) (SYMM _let_202)))) (let ((_let_205 (TRANS _let_204 _let_196))) (let ((_let_206 (CONG _let_205 _let_201 :args _let_170))) (let ((_let_207 (SYMM _let_185))) (let ((_let_208 (TRANS _let_173 _let_207 _let_187))) (let ((_let_209 (ASSUME :args (_let_80)))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (SYMM _let_210))) (let ((_let_212 (REFL :args (_let_36)))) (let ((_let_213 (CONG (TRANS _let_204 (TRANS _let_173 _let_207 _let_187 (CONG _let_212 (TRANS 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_let_423))) (let ((_let_434 (CONG (TRANS (TRANS _let_430 _let_433 _let_432) _let_431) _let_430 :args _let_170))) (let ((_let_435 (ASSUME :args (_let_160)))) (let ((_let_436 (ASSUME :args (_let_128)))) (let ((_let_437 (REFL :args (_let_126)))) (let ((_let_438 (REFL :args (_let_90)))) (let ((_let_439 (ASSUME :args (_let_55)))) (let ((_let_440 (TRANS (CONG _let_180 (CONG (CONG _let_180 (TRANS _let_221 (CONG _let_182 (REFL :args (_let_43)) :args _let_170)) :args _let_170) (REFL :args (_let_54)) :args _let_170) :args _let_170) (SYMM _let_439) _let_188 _let_185 _let_174))) (let ((_let_441 (ASSUME :args (_let_91)))) (let ((_let_442 (SYMM _let_441))) (let ((_let_443 (TRANS (SYMM _let_442) (CONG _let_180 (CONG (TRANS _let_440 _let_230) _let_438 :args _let_170) :args _let_170)))) (let ((_let_444 (CONG (TRANS _let_283 _let_443) _let_437 :args _let_170))) (let ((_let_445 (TRANS (CONG _let_180 _let_444 :args _let_170) (SYMM _let_436) _let_308 _let_305 _let_290))) (let ((_let_446 (CONG _let_431 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_let_391) _let_387 :args _let_170))) (let ((_let_461 (TRANS _let_173 _let_207 _let_187 _let_412 _let_411 _let_245 _let_410 _let_409 (CONG _let_322 (TRANS _let_321 _let_274 _let_198 _let_272 _let_214 _let_206 _let_200 _let_211 _let_271 _let_217 _let_215 (CONG (TRANS _let_204 _let_273 _let_391) _let_382 :args _let_170) (SYMM _let_460)) :args _let_170) (CONG _let_322 _let_460 :args _let_170) _let_386 _let_371 _let_369 _let_364 _let_362 _let_360 _let_352 _let_351 _let_338 _let_349 _let_345))) (let ((_let_462 (ASSUME :args (_let_148)))) (let ((_let_463 (TRANS (CONG _let_171 (CONG (TRANS _let_315 _let_221) _let_301 :args _let_170) :args _let_170) _let_300 _let_299))) (let ((_let_464 (CONG _let_171 (REFL :args (_let_108)) :args _let_170))) (let ((_let_465 (ASSUME :args (_let_109)))) (let ((_let_466 (SYMM _let_465))) (let ((_let_467 (ASSUME :args (_let_132)))) (let ((_let_468 (ASSUME :args (_let_155)))) (let ((_let_469 (SYMM _let_317))) (let ((_let_470 (CONG (TRANS (TRANS (CONG (TRANS _let_469 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_let_171 _let_177 _let_182 _let_186 _let_366 _let_370 _let_385 _let_389 _let_372 _let_199 _let_194 _let_202 _let_209 _let_216 _let_219 _let_397 _let_228 _let_235 _let_237 _let_240 _let_246 _let_255 _let_263 _let_282 _let_277 _let_289 _let_295 _let_298 _let_304 _let_306 _let_309 _let_313 _let_314 _let_316 _let_436 _let_439 _let_441 _let_319 _let_419 _let_330 _let_335 _let_392 _let_425 _let_435 _let_447 _let_448 _let_455 _let_458 _let_462 _let_465 _let_467 _let_468 _let_472 _let_474 _let_478) (SCOPE (TRANS _let_171 _let_477 _let_473 _let_471 (CONG _let_322 (TRANS _let_417 _let_416 (SYMM _let_479)) :args _let_170) (CONG _let_322 (TRANS _let_479 (CONG (TRANS _let_400 _let_324 _let_476 _let_317) (TRANS _let_399 _let_396 _let_395 (CONG (TRANS (TRANS _let_171 _let_477 _let_473 _let_471 _let_433 _let_432 _let_426) _let_427 _let_431) (TRANS _let_171 _let_477 _let_473 _let_471) :args _let_170) (SYMM _let_446) _let_447 (SYMM _let_453) (SYMM _let_457) _let_458 (SYMM _let_470)) :args _let_170) (CONG (TRANS _let_469 (SYMM _let_445)) (TRANS _let_470 (SYMM _let_458) _let_457 _let_453 (SYMM _let_447) _let_446 (SYMM _let_434) _let_435) :args _let_170) (CONG (TRANS _let_445 (SYMM _let_318)) (TRANS (SYMM _let_435) _let_434 (CONG (TRANS _let_429 (TRANS _let_424 _let_423 _let_418 (SYMM _let_421)) _let_421) _let_418 :args _let_170) (SYMM (SYMM _let_319))) :args _let_170) (CONG (TRANS _let_318 _let_317) (REFL :args (_let_133)) :args _let_170) (SYMM (SYMM _let_313)) (CONG (TRANS _let_226 _let_312 (SYMM _let_288)) (TRANS (CONG (TRANS (TRANS (CONG _let_261 (CONG (TRANS (TRANS (CONG _let_250 _let_311 :args _let_170) (CONG _let_172 _let_311 :args _let_170) _let_310 _let_308 _let_305 _let_290) (SYMM _let_258)) _let_189 :args _let_170) :args _let_170) _let_279 _let_264 _let_244 _let_266) _let_269) _let_218 :args _let_170) _let_277) :args _let_170) (CONG (TRANS _let_288 _let_287) (TRANS _let_278 _let_276 _let_274 _let_198 _let_188 _let_185 _let_174) :args _let_170) _let_172) :args _let_170)) :args (_let_10 _let_12 _let_11 _let_51 _let_42 _let_78 _let_83 _let_67 _let_30 _let_19 _let_28 _let_39 _let_52 _let_87 _let_110 _let_113 _let_100 _let_125 _let_116 _let_23 _let_121 _let_80 _let_163 _let_45 _let_71 _let_104 _let_139 _let_154 _let_144 _let_64 _let_101 _let_141 _let_119 _let_161 _let_93 _let_59 _let_77 _let_88 _let_111 _let_136 _let_162 _let_33 _let_97 _let_128 _let_55 _let_91 _let_134 _let_96 _let_159 _let_153 _let_156 _let_74 _let_160 _let_117 _let_107 _let_146 _let_150 _let_148 _let_109 _let_132 _let_155 _let_164 _let_127 _let_152))) :args (_let_10 _let_11 _let_12 _let_19 _let_23 _let_28 _let_30 _let_33 _let_39 _let_42 _let_45 _let_51 _let_52 _let_55 _let_59 _let_64 _let_67 _let_71 _let_74 _let_77 _let_78 _let_80 _let_83 _let_87 _let_88 _let_91 _let_93 _let_96 _let_97 _let_100 _let_101 _let_104 _let_107 _let_109 _let_110 _let_111 _let_113 _let_116 _let_117 _let_119 _let_121 _let_125 _let_127 _let_128 _let_132 _let_134 _let_136 _let_139 _let_141 _let_144 _let_146 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QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_88 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.identity _let_49 _let_72 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_87 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.identity _let_49 _let_65 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_83 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_17 _let_35 _let_35 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_80 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.identity _let_49 _let_40 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_78 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_26 _let_41 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_77 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.identity _let_24 _let_25 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_74 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_43 _let_35 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_71 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.identity _let_20 _let_21 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_67 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_37 _let_32 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_64 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_15 _let_29 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_59 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_37 _let_43 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_55 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_37 _let_26 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_52 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.identity tptp.identity _let_40 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_51 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_17 _let_25 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_45 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.identity _let_13 _let_14 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_42 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a tptp.a _let_21 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_39 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_17 _let_22 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_33 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_17 _let_26 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_30 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_15 _let_14 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_28 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_17 _let_17 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_23 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_167)) _let_166 :args (_let_19 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.identity _let_7 _let_6 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_12 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.identity _let_8 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167)) _let_166 :args (_let_11 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.identity tptp.identity tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_167)) _let_166 :args (_let_10 false _let_165)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_164 false _let_163 false _let_162 false _let_161 false _let_160 false _let_159 false _let_156 false _let_155 false _let_154 false _let_153 false _let_152 false _let_150 false _let_148 false _let_146 false _let_144 false _let_141 false _let_139 false _let_136 false _let_134 false _let_132 false _let_128 false _let_127 false _let_125 false _let_121 false _let_119 false _let_117 false _let_116 false _let_113 false _let_111 false _let_110 false _let_109 false _let_107 false _let_104 false _let_101 false _let_100 false _let_97 false _let_96 false _let_93 false _let_91 false _let_88 false _let_87 false _let_83 false _let_80 false _let_78 false _let_77 false _let_74 false _let_71 false _let_67 false _let_64 false _let_59 false _let_55 false _let_52 false _let_51 false _let_45 false _let_42 false _let_39 false _let_33 false _let_30 false _let_28 false _let_23 false _let_19 false _let_12 false _let_11 false _let_10 true _let_4)) :args (_let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.64 )
% 0.22/0.64 % SZS output end Proof for GRP116-1
% 0.22/0.64 % cvc5---1.0.5 exiting
% 0.22/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------