TSTP Solution File: GRP271-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP271-1 : TPTP v8.1.2. Released v2.5.0.
% 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 00:25:25 EDT 2023

% Result   : Unsatisfiable 11.31s 11.66s
% Output   : Proof 11.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP271-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.12/0.36  % Computer : n014.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8042.1875MB
% 0.12/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit   : 300
% 0.12/0.36  % WCLimit    : 300
% 0.12/0.36  % DateTime   : Mon Aug 28 23:48:15 EDT 2023
% 0.12/0.36  % CPUTime    : 
% 0.19/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jPTAovVIDh/cvc5---1.0.5_23346.p...
% 0.19/0.51  ------- get file name : TPTP file name is GRP271-1
% 0.19/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23346.smt2...
% 0.19/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.61/10.97  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.31/11.66  % SZS status Unsatisfiable for GRP271-1
% 11.31/11.66  % SZS output start Proof for GRP271-1
% 11.31/11.68  (
% 11.31/11.68  (let ((_let_1 (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))))) (let ((_let_2 (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6))) (let ((_let_3 (tptp.inverse tptp.sk_c2))) (let ((_let_4 (= _let_3 tptp.sk_c10))) (let ((_let_5 (= (tptp.inverse tptp.sk_c6) tptp.sk_c8))) (let ((_let_6 (= (tptp.inverse tptp.sk_c7) tptp.sk_c6))) (let ((_let_7 (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11))) (let ((_let_8 (tptp.inverse tptp.sk_c5))) (let ((_let_9 (= _let_8 tptp.sk_c8))) (let ((_let_10 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (let ((_let_11 (= _let_10 tptp.sk_c11))) (let ((_let_12 (tptp.inverse tptp.sk_c4))) (let ((_let_13 (= _let_12 tptp.sk_c10))) (let ((_let_14 (or _let_4 _let_13))) (let ((_let_15 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (let ((_let_16 (= _let_15 tptp.sk_c9))) (let ((_let_17 (or _let_4 _let_16))) (let ((_let_18 (tptp.inverse tptp.sk_c3))) (let ((_let_19 (= _let_18 tptp.sk_c11))) (let ((_let_20 (or _let_4 _let_19))) (let ((_let_21 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (let ((_let_22 (= _let_21 tptp.sk_c10))) (let ((_let_23 (or _let_4 _let_22))) (let ((_let_24 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (let ((_let_25 (= _let_24 tptp.sk_c9))) (let ((_let_26 (or _let_25 _let_13))) (let ((_let_27 (or _let_25 _let_16))) (let ((_let_28 (or _let_25 _let_19))) (let ((_let_29 (or _let_25 _let_22))) (let ((_let_30 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (let ((_let_31 (= _let_30 tptp.sk_c10))) (let ((_let_32 (or _let_31 _let_9))) (let ((_let_33 (or _let_31 _let_11))) (let ((_let_34 (or _let_31 _let_13))) (let ((_let_35 (or _let_31 _let_16))) (let ((_let_36 (or _let_31 _let_19))) (let ((_let_37 (tptp.inverse tptp.sk_c1))) (let ((_let_38 (= _let_37 tptp.sk_c11))) (let ((_let_39 (or _let_38 _let_9))) (let ((_let_40 (or _let_38 _let_11))) (let ((_let_41 (or _let_38 _let_13))) (let ((_let_42 (or _let_38 _let_16))) (let ((_let_43 (or _let_38 _let_19))) (let ((_let_44 (or _let_38 _let_22))) (let ((_let_45 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (let ((_let_46 (= _let_45 tptp.sk_c10))) (let ((_let_47 (or _let_46 _let_9))) (let ((_let_48 (or _let_46 _let_11))) (let ((_let_49 (or _let_46 _let_13))) (let ((_let_50 (or _let_46 _let_16))) (let ((_let_51 (or _let_46 _let_19))) (let ((_let_52 (or _let_46 _let_22))) (let ((_let_53 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_54 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_55 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_56 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))))) (let ((_let_57 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))) (let ((_let_58 (= tptp.sk_c10 _let_30))) (let ((_let_59 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))))) (let ((_let_60 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))) (let ((_let_61 (forall ((X5 $$unsorted) (X7 $$unsorted)) (let ((_let_1 (tptp.inverse X5))) (let ((_let_2 (tptp.inverse X7))) (or (not (= tptp.sk_c11 (tptp.multiply X5 _let_1))) (not (= tptp.sk_c11 (tptp.multiply _let_1 tptp.sk_c10))) (not (= _let_1 (tptp.inverse _let_2))) (not (= _let_2 (tptp.multiply X7 _let_1))))))))) (let ((_let_62 (= tptp.sk_c10 _let_12))) (let ((_let_63 (not _let_62))) (let ((_let_64 (= tptp.sk_c9 _let_15))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (not _let_56))) (let ((_let_68 (not _let_66))) (let ((_let_69 (= tptp.sk_c10 _let_45))) (let ((_let_70 (= tptp.sk_c11 _let_37))) (let ((_let_71 (not _let_69))) (let ((_let_72 (= tptp.sk_c10 _let_21))) (let ((_let_73 (= tptp.sk_c11 _let_18))) (let ((_let_74 (= tptp.sk_c11 _let_10))) (let ((_let_75 (= tptp.sk_c8 _let_8))) (let ((_let_76 (not _let_73))) (let ((_let_77 (not _let_72))) (let ((_let_78 (or _let_77 _let_76))) (let ((_let_79 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_80 (= tptp.identity _let_79))) (let ((_let_81 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (let ((_let_82 (tptp.multiply _let_18 tptp.sk_c3))) (let ((_let_83 (= tptp.identity _let_82))) (let ((_let_84 (tptp.multiply tptp.identity _let_18))) (let ((_let_85 (= _let_18 _let_84))) (let ((_let_86 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_87 (tptp.inverse _let_18))) (let ((_let_88 (tptp.multiply _let_87 _let_18))) (let ((_let_89 (= tptp.identity _let_88))) (let ((_let_90 (= tptp.identity (tptp.multiply _let_12 tptp.sk_c4)))) (let ((_let_91 (tptp.inverse _let_21))) (let ((_let_92 (tptp.multiply tptp.identity _let_91))) (let ((_let_93 (= _let_91 _let_92))) (let ((_let_94 (tptp.multiply _let_87 _let_82))) (let ((_let_95 (= (tptp.multiply _let_88 tptp.sk_c3) _let_94))) (let ((_let_96 (= (tptp.multiply _let_94 tptp.sk_c11) (tptp.multiply _let_87 (tptp.multiply _let_82 tptp.sk_c11))))) (let ((_let_97 (tptp.inverse tptp.identity))) (let ((_let_98 (tptp.inverse _let_97))) (let ((_let_99 (= _let_97 _let_98))) (let ((_let_100 (tptp.multiply tptp.identity _let_97))) (let ((_let_101 (= _let_97 _let_100))) (let ((_let_102 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_103 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (let ((_let_104 (= tptp.identity (tptp.multiply _let_8 tptp.sk_c5)))) (let ((_let_105 (tptp.inverse tptp.sk_c8))) (let ((_let_106 (tptp.multiply _let_105 tptp.sk_c8))) (let ((_let_107 (= tptp.identity _let_106))) (let ((_let_108 (= _let_21 (tptp.multiply tptp.identity _let_21)))) (let ((_let_109 (= (tptp.multiply _let_106 tptp.sk_c5) (tptp.multiply _let_105 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) (let ((_let_110 (= (tptp.multiply (tptp.multiply _let_105 tptp.sk_c10) tptp.sk_c8) (tptp.multiply _let_105 (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (let ((_let_111 (= tptp.sk_c11 _let_100))) (let ((_let_112 (= (tptp.multiply _let_82 _let_18) (tptp.multiply _let_18 (tptp.multiply tptp.sk_c3 _let_18))))) (let ((_let_113 (tptp.multiply _let_97 tptp.identity))) (let ((_let_114 (= tptp.identity _let_113))) (let ((_let_115 (tptp.multiply tptp.identity tptp.sk_c10))) (let ((_let_116 (= (tptp.multiply _let_79 tptp.sk_c10) (tptp.multiply tptp.identity _let_115)))) (let ((_let_117 (= tptp.sk_c10 _let_115))) (let ((_let_118 (= (tptp.multiply _let_113 tptp.sk_c10) (tptp.multiply _let_97 _let_115)))) (let ((_let_119 (= tptp.sk_c11 (tptp.multiply _let_97 tptp.sk_c10)))) (let ((_let_120 (not _let_101))) (let ((_let_121 (not _let_99))) (let ((_let_122 (not _let_119))) (let ((_let_123 (not _let_111))) (let ((_let_124 (or _let_123 _let_122 _let_121 _let_120))) (let ((_let_125 (not _let_78))) (let ((_let_126 (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_76 _let_125))))) (let ((_let_127 (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_63 _let_68))))) (let ((_let_128 (_let_59))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.sk_c3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_128)))) (let ((_let_131 (_let_56))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.sk_c4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_131)))) (let ((_let_134 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_59 (= X3 X1)))))) (let ((_let_135 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_56 (= X4 X2)))))) (let ((_let_136 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_55)) (MACRO_SR_EQ_INTRO :args (_let_55 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (_let_136))) (let ((_let_139 (tptp.identity QUANTIFIERS_INST_ENUM))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args _let_139) :args _let_138)) _let_137 :args (_let_80 false _let_136)))) (let ((_let_141 (tptp.sk_c3 QUANTIFIERS_INST_ENUM))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args _let_141) :args _let_138)) _let_137 :args (_let_81 false _let_136)))) (let ((_let_143 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_54)) (MACRO_SR_EQ_INTRO :args (_let_54 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (_let_143))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args _let_141) :args _let_145)) _let_144 :args (_let_83 false _let_143)))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_138)) _let_137 :args (_let_85 false _let_136)))) (let ((_let_148 (tptp.sk_c4 QUANTIFIERS_INST_ENUM))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args _let_148) :args _let_138)) _let_137 :args (_let_86 false _let_136)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_18 QUANTIFIERS_INST_ENUM)) :args _let_145)) _let_144 :args (_let_89 false _let_143)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args _let_148) :args _let_145)) _let_144 :args (_let_90 false _let_143)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_91 QUANTIFIERS_INST_CBQI_PROP)) :args _let_138)) _let_137 :args (_let_93 false _let_136)))) (let ((_let_153 (_let_53))) (let ((_let_154 (ASSUME :args _let_153))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_87 _let_18 tptp.sk_c3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_153)) _let_154 :args (_let_95 false _let_53)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_87 _let_82 tptp.sk_c11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_153)) _let_154 :args (_let_96 false _let_53)))) (let ((_let_157 (not _let_96))) (let ((_let_158 (not _let_95))) (let ((_let_159 (not _let_93))) (let ((_let_160 (not _let_90))) (let ((_let_161 (not _let_89))) (let ((_let_162 (not _let_86))) (let ((_let_163 (not _let_85))) (let ((_let_164 (not _let_83))) (let ((_let_165 (not _let_81))) (let ((_let_166 (not _let_80))) (let ((_let_167 (and _let_72 _let_73 _let_62 _let_80 _let_81 _let_83 _let_85 _let_86 _let_89 _let_90 _let_93 _let_95 _let_96))) (let ((_let_168 (= _let_97 _let_92))) (let ((_let_169 (= _let_98 _let_91))) (let ((_let_170 (SYMM (SYMM (ASSUME :args (_let_169)))))) (let ((_let_171 (ASSUME :args (_let_93)))) (let ((_let_172 (SYMM (SYMM _let_171)))) (let ((_let_173 (SYMM (ASSUME :args (_let_168))))) (let ((_let_174 (APPLY_UF tptp.inverse))) (let ((_let_175 (APPLY_UF tptp.multiply))) (let ((_let_176 (REFL :args (tptp.sk_c11)))) (let ((_let_177 (ASSUME :args (_let_81)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (REFL :args (tptp.sk_c3)))) (let ((_let_180 (ASSUME :args (_let_80)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (CONG _let_182 _let_178 :args _let_175))) (let ((_let_185 (ASSUME :args (_let_89)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (CONG _let_186 _let_177 :args _let_175))) (let ((_let_188 (ASSUME :args (_let_95)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (TRANS _let_189 _let_187 _let_184 (CONG _let_183 _let_179 :args _let_175) _let_178))) (let ((_let_191 (CONG _let_190 _let_176 :args _let_175))) (let ((_let_192 (ASSUME :args (_let_96)))) (let ((_let_193 (SYMM _let_192))) (let ((_let_194 (ASSUME :args (_let_73)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (ASSUME :args (_let_83)))) (let ((_let_197 (SYMM (SYMM _let_196)))) (let ((_let_198 (ASSUME :args (_let_85)))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (CONG (REFL :args (_let_87)) (TRANS _let_200 (CONG _let_197 _let_195 :args _let_175)) :args _let_175))) (let ((_let_202 (CONG (TRANS _let_185 _let_201 _let_193 _let_191) :args _let_174))) (let ((_let_203 (MODUS_PONENS (AND_INTRO _let_171 _let_177 _let_180 _let_185 _let_188 _let_192 _let_196 _let_194 _let_198) (SCOPE (TRANS _let_202 _let_172) :args (_let_93 _let_81 _let_80 _let_89 _let_95 _let_96 _let_83 _let_73 _let_85))))) (let ((_let_204 (SYMM _let_201))) (let ((_let_205 (SYMM _let_191))) (let ((_let_206 (ASSUME :args (_let_72)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (SYMM _let_207))) (let ((_let_209 (ASSUME :args (_let_62)))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (ASSUME :args (_let_86)))) (let ((_let_212 (SYMM _let_211))) (let ((_let_213 (REFL :args (tptp.sk_c4)))) (let ((_let_214 (ASSUME :args (_let_90)))) (let ((_let_215 (SYMM _let_214))) (let ((_let_216 (SYMM _let_215))) (let ((_let_217 (MODUS_PONENS (AND_INTRO _let_177 _let_180 _let_185 _let_188 _let_192 _let_196 _let_194 _let_198 _let_206 _let_209 _let_211 _let_214) (SCOPE (TRANS (CONG (TRANS (CONG (TRANS _let_216 (CONG (TRANS _let_210 _let_208 _let_205 _let_192 _let_204 _let_186) _let_213 :args _let_175) _let_212) :args _let_174) _let_210 _let_208 _let_205 _let_192 _let_204 _let_186) :args _let_174) _let_202) :args (_let_81 _let_80 _let_89 _let_95 _let_96 _let_83 _let_73 _let_85 _let_72 _let_62 _let_86 _let_90))))) (let ((_let_218 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_167)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_217 _let_171 _let_203) (SCOPE (TRANS (SYMM _let_173) (SYMM _let_172) (SYMM _let_170)) :args (_let_169 _let_93 _let_168))) :args (_let_72 _let_73 _let_62 _let_80 _let_81 _let_83 _let_85 _let_86 _let_89 _let_90 _let_93 _let_95 _let_96))) :args (true _let_167)) :args ((or _let_77 _let_76 _let_63 _let_99 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157))))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_97 QUANTIFIERS_INST_CBQI_PROP)) :args _let_138)) _let_137 :args (_let_101 false _let_136)))) (let ((_let_220 (tptp.sk_c5 QUANTIFIERS_INST_ENUM))) (let ((_let_221 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_let_162 _let_160 _let_330 _let_159 _let_348 _let_347))))) (let ((_let_406 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args _let_226) :args _let_145)) _let_144 :args (_let_328 false _let_143)))) (let ((_let_407 (and _let_69 _let_72 _let_73 _let_64 _let_62 _let_70 _let_58 _let_80 _let_314 _let_315 _let_316 _let_116 _let_117 _let_319 _let_86 _let_90 _let_328 _let_322 _let_323))) (let ((_let_408 (ASSUME :args (_let_328)))) (let ((_let_409 (CONG _let_380 _let_374 :args _let_175))) (let ((_let_410 (TRANS _let_363 _let_387))) (let ((_let_411 (CONG _let_374 _let_410 :args _let_175))) (let ((_let_412 (CONG _let_369 _let_303 :args _let_175))) (let ((_let_413 (CONG _let_363 _let_303 :args _let_175))) (let ((_let_414 (CONG _let_388 (TRANS _let_413 _let_368 (CONG _let_372 (TRANS _let_412 _let_411 _let_377 _let_409 _let_384) :args _let_175) _let_373 _let_364) :args _let_175))) (let ((_let_415 (CONG _let_356 _let_297 :args _let_175))) (let ((_let_416 (SYMM _let_304))) (let ((_let_417 (SYMM _let_415))) (let ((_let_418 (TRANS _let_356 (SYMM _let_414) _let_360 _let_417 _let_301 _let_416 _let_297))) (let ((_let_419 (TRANS _let_210 _let_296 _let_304 _let_302 _let_415 _let_361 _let_414 _let_357))) (let ((_let_420 (SYMM _let_409))) (let ((_let_421 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_407)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_359 _let_366 _let_408 _let_356 _let_363 _let_402 _let_211 _let_206 _let_379 _let_194 _let_383 _let_214 _let_296 _let_278 _let_300 _let_209 _let_369 _let_180 _let_376) (SCOPE (TRANS _let_369 _let_383 _let_420 _let_376 (SYMM _let_411) (SYMM _let_412) (CONG _let_194 (SYMM _let_418) :args _let_175) (CONG _let_195 (TRANS _let_182 (CONG (TRANS _let_216 (CONG _let_419 _let_213 :args _let_175) _let_212) (SYMM _let_419) :args _let_175) (CONG _let_213 _let_419 :args _let_175) (CONG _let_213 _let_418 :args _let_175) _let_279) :args _let_175) _let_403 _let_296 _let_304 _let_302 _let_415 _let_361 _let_414 _let_357 (SYMM (SYMM 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(tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (let ((_let_426 (= tptp.sk_c10 _let_37))) (let ((_let_427 (not _let_426))) (let ((_let_428 (not _let_425))) (let ((_let_429 (or _let_428 _let_427))) (let ((_let_430 (and _let_69 _let_73 _let_64 _let_62 _let_70 _let_58 _let_80 _let_424 _let_314 _let_315 _let_316 _let_116 _let_117 _let_319 _let_86 _let_90 _let_322 _let_323))) (let ((_let_431 (CONG _let_181 _let_303 :args _let_175))) (let ((_let_432 (SYMM _let_364))) (let ((_let_433 (SYMM _let_432))) (let ((_let_434 (SYMM _let_370))) (let ((_let_435 (SYMM _let_434))) (let ((_let_436 (CONG _let_435 _let_303 :args _let_175))) (let ((_let_437 (CONG _let_372 _let_435 :args _let_175))) (let ((_let_438 (CONG _let_374 (TRANS _let_437 _let_433) :args _let_175))) (let ((_let_439 (CONG _let_388 (TRANS _let_432 (SYMM _let_437) (CONG _let_372 (TRANS _let_385 _let_382 _let_378 _let_438 _let_436) :args _let_175) _let_367 (CONG _let_433 _let_303 :args _let_175)) :args _let_175))) (let ((_let_440 (TRANS _let_356 _let_439 _let_360 _let_358 _let_301 _let_431 _let_297))) (let ((_let_441 (ASSUME :args (_let_424)))) (let ((_let_442 (SYMM _let_441))) (let ((_let_443 (SYMM _let_439))) (let ((_let_444 (SYMM _let_431))) (let ((_let_445 (SYMM _let_403))) (let ((_let_446 (SYMM _let_279))) (let ((_let_447 (CONG _let_213 _let_440 :args _let_175))) (let ((_let_448 (TRANS _let_210 _let_296 _let_444 _let_300 _let_395 _let_359 _let_443 _let_357))) (let ((_let_449 (CONG _let_213 _let_448 :args _let_175))) (let ((_let_450 (CONG (TRANS _let_216 (CONG _let_448 _let_213 :args _let_175) (SYMM _let_245)) (SYMM _let_448) :args _let_175))) (let ((_let_451 (and _let_69 _let_73 _let_64 _let_62 _let_70 _let_58 _let_80 _let_314 _let_315 _let_316 _let_116 _let_117 _let_319 _let_86 _let_90 _let_322 _let_323))) (let ((_let_452 (CONG _let_372 _let_434 :args _let_175))) (let ((_let_453 (CONG _let_374 (TRANS _let_432 _let_452) :args _let_175))) (let ((_let_454 (CONG _let_434 _let_303 :args _let_175))) (let ((_let_455 (CONG 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(CONG (TRANS _let_245 (CONG _let_458 _let_213 :args _let_175) _let_215) _let_457 :args _let_175) _let_181) :args _let_175) (CONG _let_195 _let_456 :args _let_175) _let_454 _let_453 _let_377 _let_409 _let_384) :args (_let_323 _let_322 _let_86 _let_69 _let_58 _let_64 _let_70 _let_73 _let_315 _let_90 _let_117 _let_80 _let_314 _let_62 _let_116 _let_316 _let_319))) :args (_let_69 _let_73 _let_64 _let_62 _let_70 _let_58 _let_80 _let_314 _let_315 _let_316 _let_116 _let_117 _let_319 _let_86 _let_90 _let_322 _let_323))) :args (true _let_451)) :args ((or _let_336 _let_71 _let_76 _let_65 _let_63 _let_324 _let_166 _let_352 _let_351 _let_350 _let_294 _let_293 _let_349 _let_162 _let_160 _let_348 _let_347 _let_426))) _let_346 _let_345 _let_151 _let_149 _let_344 _let_291 _let_289 _let_343 _let_342 _let_341 _let_140 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_430)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_359 _let_366 _let_211 _let_356 _let_363 _let_402 _let_278 _let_369 _let_194 _let_383 _let_214 _let_296 _let_441 _let_180 _let_379 _let_209 _let_300 _let_376) (SCOPE (TRANS _let_446 (SYMM _let_447) (SYMM _let_449) (SYMM _let_450) (CONG (TRANS _let_381 (CONG (TRANS (TRANS _let_385 _let_382 _let_378 _let_438 _let_436 (CONG _let_194 (SYMM _let_440) :args _let_175)) (TRANS (CONG _let_195 (TRANS _let_180 _let_450 _let_449 _let_447 (SYMM _let_446)) :args _let_175) (SYMM _let_445) _let_296 _let_444 _let_300 _let_395 _let_359 _let_443 _let_357)) _let_441 :args _let_175) (CONG _let_180 _let_442 :args _let_175) (CONG _let_181 _let_372 :args _let_175) _let_442) _let_440 :args _let_175)) :args (_let_323 _let_322 _let_86 _let_319 _let_69 _let_58 _let_64 _let_70 _let_73 _let_315 _let_90 _let_117 _let_424 _let_80 _let_314 _let_62 _let_116 _let_316))) :args (_let_69 _let_73 _let_64 _let_62 _let_70 _let_58 _let_80 _let_424 _let_314 _let_315 _let_316 _let_116 _let_117 _let_319 _let_86 _let_90 _let_322 _let_323))) :args (true _let_430)) :args ((or _let_336 _let_71 _let_76 _let_65 _let_63 _let_324 _let_166 (not _let_424) _let_352 _let_351 _let_350 _let_294 _let_293 _let_349 _let_162 _let_160 _let_348 _let_347 _let_425))) _let_346 _let_345 _let_151 _let_149 _let_344 _let_291 _let_289 _let_343 _let_342 _let_341 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args _let_340) :args _let_138)) _let_137 :args (_let_424 false _let_136)) _let_140 :args ((or _let_336 _let_71 _let_76 _let_65 _let_63 _let_324 _let_67) true _let_429 false _let_426 false _let_323 false _let_322 false _let_90 false _let_86 false _let_319 false _let_117 false _let_116 false _let_316 false _let_315 false _let_314 false _let_80 false _let_425 false _let_323 false _let_322 false _let_90 false _let_86 false _let_319 false _let_117 false _let_116 false _let_316 false _let_315 false _let_314 false _let_424 false _let_80)))) (let ((_let_460 (not _let_326))) (let ((_let_461 (not _let_327))) (let ((_let_462 (or _let_461 _let_460))) (let ((_let_463 (= _let_97 (tptp.multiply 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_let_344 _let_291 _let_289 _let_343 _let_342 _let_341 _let_140 _let_397 _let_346 _let_345 _let_151 _let_149 _let_344 _let_291 _let_289 _let_343 _let_342 _let_341 _let_140 _let_392 _let_346 _let_345 _let_152 _let_344 _let_291 _let_289 _let_343 _let_342 _let_341 _let_140 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_62 _let_326))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_64 _let_326))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_73 _let_326))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_326))) _let_134 _let_339 _let_337 :args ((or _let_326 _let_336 _let_71 _let_324) true _let_57 true _let_56 true _let_61 true _let_335 false _let_329 false _let_323 false 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_let_316 false _let_315 false _let_314 false _let_101 false _let_80 false _let_75 false _let_74 false _let_62 false _let_64 false _let_73 true _let_58)) (MACRO_RESOLUTION_TRUST _let_312 _let_309 _let_219 _let_307 _let_306 _let_156 _let_229 _let_155 _let_228 _let_227 _let_225 _let_224 _let_223 _let_221 _let_150 _let_147 _let_146 _let_142 _let_292 _let_291 _let_289 _let_288 _let_140 _let_287 _let_156 _let_276 _let_229 _let_155 _let_228 _let_225 _let_224 _let_223 _let_221 _let_151 _let_150 _let_149 _let_147 _let_146 _let_142 _let_140 _let_275 _let_156 _let_229 _let_155 _let_228 _let_152 _let_227 _let_225 _let_224 _let_223 _let_221 _let_151 _let_150 _let_149 _let_147 _let_146 _let_142 _let_219 _let_140 _let_218 _let_156 _let_155 _let_152 _let_151 _let_150 _let_149 _let_147 _let_146 _let_142 _let_140 _let_135 _let_134 _let_133 _let_130 _let_127 _let_126 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_75 _let_70))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_74 _let_70))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_62 _let_70))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_64 _let_70))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_73 _let_70))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_70))) :args (_let_70 true _let_124 false _let_101 false _let_61 false _let_119 false _let_96 false _let_110 false _let_95 false _let_109 false _let_108 false _let_107 false _let_104 false _let_103 false _let_102 false _let_89 false _let_85 false _let_83 false _let_81 false _let_118 false _let_117 false _let_116 false _let_114 false _let_80 false _let_58 false _let_96 false _let_112 false _let_110 false _let_95 false _let_109 false _let_107 false _let_104 false _let_103 false _let_102 false _let_90 false _let_89 false _let_86 false _let_85 false _let_83 false _let_81 false _let_80 false _let_111 false _let_96 false _let_110 false _let_95 false _let_109 false _let_93 false _let_108 false _let_107 false _let_104 false _let_103 false _let_102 false _let_90 false _let_89 false _let_86 false _let_85 false _let_83 false _let_81 false _let_101 false _let_80 false _let_99 false _let_96 false _let_95 false _let_93 false _let_90 false _let_89 false _let_86 false _let_85 false _let_83 false _let_81 false _let_80 true _let_57 true _let_60 true _let_56 true _let_59 true _let_66 true _let_78 false _let_75 false _let_74 false _let_62 false _let_64 false _let_73 false _let_72)) :args (_let_71 false _let_70)))) (let ((_let_517 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) _let_516 :args (_let_62 true _let_69)))) (let ((_let_518 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))) _let_516 :args (_let_64 true _let_69)))) (let ((_let_519 (MACRO_RESOLUTION_TRUST _let_133 (MACRO_RESOLUTION_TRUST _let_127 _let_518 _let_517 :args (_let_68 false _let_64 false _let_62)) :args (_let_67 true _let_66)))) (let ((_let_520 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) _let_516 :args (_let_75 true _let_69)))) (let ((_let_521 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) _let_516 :args (_let_74 true _let_69)))) (let ((_let_522 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))) _let_516 :args (_let_73 true _let_69)))) (let ((_let_523 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))) _let_516 :args (_let_72 true _let_69)))) (let ((_let_524 (MACRO_RESOLUTION_TRUST _let_130 (MACRO_RESOLUTION_TRUST _let_126 _let_523 _let_522 :args (_let_125 false _let_72 false _let_73)) :args ((not _let_59) true _let_78)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_307 (MACRO_RESOLUTION_TRUST _let_312 (MACRO_RESOLUTION_TRUST _let_309 (MACRO_RESOLUTION_TRUST _let_275 _let_523 _let_522 _let_517 _let_521 _let_520 _let_219 _let_140 _let_142 _let_146 _let_147 _let_149 _let_150 _let_151 _let_221 _let_223 _let_224 _let_225 _let_227 _let_152 _let_228 _let_155 _let_229 _let_156 :args (_let_111 false _let_72 false _let_73 false _let_62 false _let_74 false _let_75 false _let_101 false _let_80 false _let_81 false _let_83 false _let_85 false _let_86 false _let_89 false _let_90 false _let_102 false _let_103 false _let_104 false _let_107 false _let_108 false _let_93 false _let_109 false _let_95 false _let_110 false _let_96)) (MACRO_RESOLUTION_TRUST _let_306 _let_523 _let_522 _let_521 _let_520 _let_140 _let_288 _let_289 _let_291 _let_292 _let_142 _let_146 _let_147 _let_150 _let_221 _let_223 _let_224 _let_225 _let_227 _let_228 _let_155 _let_229 _let_156 :args (_let_119 false _let_72 false _let_73 false _let_74 false _let_75 false _let_80 false _let_114 false _let_116 false _let_117 false _let_118 false _let_81 false _let_83 false _let_85 false _let_89 false _let_102 false _let_103 false _let_104 false _let_107 false _let_108 false _let_109 false _let_95 false _let_110 false _let_96)) (MACRO_RESOLUTION_TRUST _let_218 _let_523 _let_522 _let_517 _let_140 _let_142 _let_146 _let_147 _let_149 _let_150 _let_151 _let_152 _let_155 _let_156 :args (_let_99 false _let_72 false _let_73 false _let_62 false _let_80 false _let_81 false _let_83 false _let_85 false _let_86 false _let_89 false _let_90 false _let_93 false _let_95 false _let_96)) _let_219 :args (_let_308 false _let_111 false _let_119 false _let_99 false _let_101)) :args ((not _let_61) true _let_124)) (MACRO_RESOLUTION_TRUST _let_134 _let_524 :args ((not _let_60) true _let_59)) _let_524 (MACRO_RESOLUTION_TRUST _let_287 _let_523 _let_522 _let_518 _let_517 _let_521 _let_520 _let_140 _let_142 _let_146 _let_147 _let_149 _let_150 _let_151 _let_221 _let_223 _let_224 _let_225 _let_228 _let_155 _let_229 _let_276 _let_156 :args (_let_58 false _let_72 false _let_73 false _let_64 false _let_62 false _let_74 false _let_75 false _let_80 false _let_81 false _let_83 false _let_85 false _let_86 false _let_89 false _let_90 false _let_102 false _let_103 false _let_104 false _let_107 false _let_109 false _let_95 false _let_110 false _let_112 false _let_96)) (MACRO_RESOLUTION_TRUST _let_135 _let_519 :args ((not _let_57) true _let_56)) _let_519 :args (false true _let_61 true _let_60 true _let_59 false _let_58 true _let_57 true _let_56)) :args (_let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 (or _let_46 _let_7) (or _let_46 _let_6) (or _let_46 _let_5) (or _let_46 _let_2) _let_44 _let_43 _let_42 _let_41 _let_40 _let_39 (or _let_38 _let_7) (or _let_38 _let_6) (or _let_38 _let_5) (or _let_38 _let_2) (or _let_31 _let_22) _let_36 _let_35 _let_34 _let_33 _let_32 (or _let_31 _let_7) (or _let_31 _let_6) (or _let_31 _let_5) (or _let_31 _let_2) _let_29 _let_28 _let_27 _let_26 (or _let_25 _let_11) (or _let_25 _let_9) (or _let_25 _let_7) (or _let_25 _let_6) (or _let_25 _let_5) (or _let_25 _let_2) _let_23 _let_20 _let_17 _let_14 (or _let_4 _let_11) (or _let_4 _let_9) (or _let_4 _let_7) (or _let_4 _let_6) (or _let_4 _let_5) (or _let_4 _let_2) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.31/11.69  )
% 11.31/11.69  % SZS output end Proof for GRP271-1
% 11.31/11.69  % cvc5---1.0.5 exiting
% 11.31/11.69  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------