TSTP Solution File: LAT012-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT012-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 06:02:36 EDT 2023
% Result : Unsatisfiable 1.72s 2.10s
% Output : Proof 1.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT012-1 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu Aug 24 06:42:23 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.43 %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.44 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.irzezWl98S/cvc5---1.0.5_25300.p...
% 0.16/0.44 ------- get file name : TPTP file name is LAT012-1
% 0.16/0.44 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25300.smt2...
% 0.16/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.72/2.10 % SZS status Unsatisfiable for LAT012-1
% 1.72/2.10 % SZS output start Proof for LAT012-1
% 1.88/2.11 (
% 1.88/2.11 (let ((_let_1 (tptp.meet tptp.a tptp.b))) (let ((_let_2 (tptp.meet tptp.b tptp.a))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet (tptp.join X Y) (tptp.join Y Z)) Y) Y)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join (tptp.meet X Y) (tptp.meet Y Z)) Y) Y)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.join X Z))) X)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.meet Y (tptp.meet X Z))) X)))) (let ((_let_9 (tptp.meet tptp.b tptp.b))) (let ((_let_10 (tptp.meet tptp.b _let_9))) (let ((_let_11 (tptp.join tptp.b _let_10))) (let ((_let_12 (= tptp.b _let_11))) (let ((_let_13 (tptp.join tptp.b tptp.b))) (let ((_let_14 (tptp.join tptp.b _let_13))) (let ((_let_15 (= tptp.b (tptp.meet tptp.b _let_14)))) (let ((_let_16 (= tptp.b (tptp.join (tptp.join _let_9 _let_9) tptp.b)))) (let ((_let_17 (tptp.meet _let_13 _let_13))) (let ((_let_18 (tptp.meet _let_17 tptp.b))) (let ((_let_19 (= tptp.b _let_18))) (let ((_let_20 (tptp.meet tptp.a _let_18))) (let ((_let_21 (tptp.join _let_17 _let_20))) (let ((_let_22 (= _let_17 _let_21))) (let ((_let_23 (= tptp.b (tptp.join (tptp.join _let_18 _let_10) tptp.b)))) (let ((_let_24 (tptp.join _let_9 _let_2))) (let ((_let_25 (tptp.join _let_24 tptp.b))) (let ((_let_26 (= tptp.b _let_25))) (let ((_let_27 (tptp.join tptp.b _let_25))) (let ((_let_28 (= _let_24 (tptp.meet _let_24 _let_27)))) (let ((_let_29 (tptp.join _let_1 _let_2))) (let ((_let_30 (= tptp.b (tptp.join _let_29 tptp.b)))) (let ((_let_31 (tptp.join _let_2 _let_1))) (let ((_let_32 (tptp.join _let_31 tptp.a))) (let ((_let_33 (= tptp.a _let_32))) (let ((_let_34 (tptp.join tptp.b tptp.a))) (let ((_let_35 (= tptp.b (tptp.join (tptp.join _let_9 (tptp.meet tptp.b _let_34)) tptp.b)))) (let ((_let_36 (tptp.join _let_10 _let_2))) (let ((_let_37 (tptp.meet _let_11 _let_36))) (let ((_let_38 (tptp.meet _let_37 _let_10))) (let ((_let_39 (= _let_10 _let_38))) (let ((_let_40 (= _let_37 (tptp.join _let_37 (tptp.meet _let_24 _let_38))))) (let ((_let_41 (tptp.join tptp.b _let_32))) (let ((_let_42 (tptp.meet _let_31 _let_41))) (let ((_let_43 (= _let_31 _let_42))) (let ((_let_44 (tptp.join _let_31 _let_32))) (let ((_let_45 (tptp.meet _let_31 _let_44))) (let ((_let_46 (= _let_31 _let_45))) (let ((_let_47 (tptp.join _let_1 _let_9))) (let ((_let_48 (tptp.join _let_47 tptp.b))) (let ((_let_49 (= tptp.b _let_48))) (let ((_let_50 (= _let_36 (tptp.join (tptp.join _let_37 (tptp.meet _let_36 _let_27)) _let_36)))) (let ((_let_51 (tptp.meet _let_21 (tptp.join _let_20 _let_2)))) (let ((_let_52 (tptp.meet _let_51 _let_20))) (let ((_let_53 (= _let_20 _let_52))) (let ((_let_54 (tptp.meet _let_24 _let_31))) (let ((_let_55 (tptp.meet _let_54 _let_2))) (let ((_let_56 (= _let_2 _let_55))) (let ((_let_57 (tptp.meet tptp.b _let_55))) (let ((_let_58 (= _let_54 (tptp.join _let_54 _let_57)))) (let ((_let_59 (tptp.meet _let_51 _let_1))) (let ((_let_60 (tptp.join tptp.a _let_59))) (let ((_let_61 (= tptp.a _let_60))) (let ((_let_62 (tptp.meet _let_24 _let_45))) (let ((_let_63 (tptp.join _let_31 _let_62))) (let ((_let_64 (= _let_31 _let_63))) (let ((_let_65 (tptp.meet _let_54 _let_55))) (let ((_let_66 (tptp.join _let_54 _let_65))) (let ((_let_67 (= _let_54 _let_66))) (let ((_let_68 (= _let_47 (tptp.meet _let_47 (tptp.join tptp.b _let_48))))) (let ((_let_69 (= _let_9 (tptp.meet _let_9 (tptp.join _let_1 _let_24))))) (let ((_let_70 (tptp.join _let_54 _let_42))) (let ((_let_71 (tptp.join _let_70 _let_31))) (let ((_let_72 (= _let_31 _let_71))) (let ((_let_73 (= _let_20 (tptp.meet (tptp.meet _let_21 (tptp.join _let_20 _let_9)) _let_20)))) (let ((_let_74 (= _let_9 (tptp.meet (tptp.meet _let_47 (tptp.join _let_9 _let_10)) _let_9)))) (let ((_let_75 (tptp.join tptp.b _let_47))) (let ((_let_76 (= _let_1 (tptp.meet _let_1 _let_75)))) (let ((_let_77 (tptp.join _let_31 _let_66))) (let ((_let_78 (tptp.meet _let_54 _let_77))) (let ((_let_79 (= _let_54 _let_78))) (let ((_let_80 (tptp.join _let_54 _let_31))) (let ((_let_81 (tptp.meet _let_2 _let_80))) (let ((_let_82 (= _let_2 _let_81))) (let ((_let_83 (tptp.meet _let_2 _let_71))) (let ((_let_84 (= _let_2 _let_83))) (let ((_let_85 (tptp.join (tptp.meet _let_29 _let_31) _let_42))) (let ((_let_86 (tptp.join _let_85 _let_31))) (let ((_let_87 (= _let_31 _let_86))) (let ((_let_88 (= _let_59 (tptp.meet (tptp.meet _let_60 (tptp.join _let_59 _let_9)) _let_59)))) (let ((_let_89 (tptp.meet _let_71 _let_32))) (let ((_let_90 (tptp.meet _let_89 _let_31))) (let ((_let_91 (= _let_31 _let_90))) (let ((_let_92 (tptp.meet _let_34 _let_60))) (let ((_let_93 (tptp.meet _let_92 tptp.a))) (let ((_let_94 (= tptp.a _let_93))) (let ((_let_95 (tptp.join _let_62 _let_57))) (let ((_let_96 (tptp.meet _let_63 _let_95))) (let ((_let_97 (tptp.meet _let_96 _let_62))) (let ((_let_98 (= _let_62 _let_97))) (let ((_let_99 (tptp.meet _let_70 (tptp.join _let_42 tptp.a)))) (let ((_let_100 (tptp.meet _let_99 _let_42))) (let ((_let_101 (= _let_42 _let_100))) (let ((_let_102 (tptp.meet _let_31 _let_93))) (let ((_let_103 (tptp.join _let_92 _let_102))) (let ((_let_104 (= _let_92 _let_103))) (let ((_let_105 (tptp.meet _let_54 _let_83))) (let ((_let_106 (= _let_2 (tptp.join _let_2 _let_105)))) (let ((_let_107 (= _let_99 (tptp.join _let_99 (tptp.meet _let_2 _let_100))))) (let ((_let_108 (= _let_92 (tptp.join _let_92 (tptp.meet _let_92 _let_93))))) (let ((_let_109 (= _let_96 (tptp.join _let_96 (tptp.meet _let_96 _let_97))))) (let ((_let_110 (tptp.join _let_31 _let_60))) (let ((_let_111 (= tptp.a (tptp.meet tptp.a _let_110)))) (let ((_let_112 (tptp.join _let_70 _let_86))) (let ((_let_113 (tptp.meet _let_85 _let_112))) (let ((_let_114 (= _let_85 _let_113))) (let ((_let_115 (= _let_62 (tptp.join (tptp.join _let_97 (tptp.meet _let_62 _let_2)) _let_62)))) (let ((_let_116 (tptp.meet tptp.b _let_2))) (let ((_let_117 (tptp.join _let_116 _let_81))) (let ((_let_118 (tptp.join _let_117 _let_2))) (let ((_let_119 (= _let_2 _let_118))) (let ((_let_120 (tptp.meet _let_20 _let_75))) (let ((_let_121 (tptp.join _let_52 _let_120))) (let ((_let_122 (tptp.join _let_121 _let_20))) (let ((_let_123 (= _let_20 _let_122))) (let ((_let_124 (tptp.join _let_78 (tptp.meet _let_77 _let_95)))) (let ((_let_125 (= _let_77 (tptp.join _let_124 _let_77)))) (let ((_let_126 (tptp.join _let_90 _let_45))) (let ((_let_127 (tptp.join _let_126 _let_31))) (let ((_let_128 (= _let_31 _let_127))) (let ((_let_129 (tptp.meet _let_63 (tptp.join _let_62 _let_42)))) (let ((_let_130 (= _let_62 (tptp.meet _let_129 _let_62)))) (let ((_let_131 (tptp.meet tptp.b _let_31))) (let ((_let_132 (= _let_131 (tptp.meet (tptp.meet (tptp.join _let_9 _let_131) (tptp.join _let_131 _let_57)) _let_131)))) (let ((_let_133 (tptp.join _let_9 _let_118))) (let ((_let_134 (tptp.meet _let_117 _let_133))) (let ((_let_135 (= _let_117 _let_134))) (let ((_let_136 (= _let_121 (tptp.meet _let_121 (tptp.join _let_2 _let_122))))) (let ((_let_137 (tptp.join tptp.a _let_122))) (let ((_let_138 (tptp.meet _let_121 _let_137))) (let ((_let_139 (= _let_121 _let_138))) (let ((_let_140 (= _let_126 (tptp.meet _let_126 (tptp.join _let_54 _let_127))))) (let ((_let_141 (= _let_117 (tptp.meet _let_117 (tptp.join _let_2 _let_118))))) (let ((_let_142 (= _let_117 (tptp.meet _let_117 (tptp.join _let_99 _let_118))))) (let ((_let_143 (= _let_121 (tptp.meet _let_121 (tptp.join _let_52 _let_122))))) (let ((_let_144 (tptp.join _let_121 _let_122))) (let ((_let_145 (tptp.meet _let_121 _let_144))) (let ((_let_146 (= _let_121 _let_145))) (let ((_let_147 (= _let_112 (tptp.join (tptp.join _let_113 (tptp.meet _let_112 _let_31)) _let_112)))) (let ((_let_148 (= _let_60 (tptp.join (tptp.join _let_92 (tptp.meet _let_60 _let_110)) _let_60)))) (let ((_let_149 (= _let_144 (tptp.join (tptp.join _let_145 (tptp.meet _let_144 _let_59)) _let_144)))) (let ((_let_150 (= _let_81 (tptp.meet (tptp.meet _let_117 (tptp.join _let_81 _let_105)) _let_81)))) (let ((_let_151 (= _let_133 (tptp.join (tptp.join _let_134 (tptp.meet _let_133 _let_20)) _let_133)))) (let ((_let_152 (= _let_137 (tptp.join (tptp.join _let_138 (tptp.meet _let_137 tptp.b)) _let_137)))) (let ((_let_153 (= _let_102 (tptp.meet (tptp.meet _let_103 (tptp.join _let_102 _let_133)) _let_102)))) (let ((_let_154 (tptp.meet _let_137 tptp.a))) (let ((_let_155 (= _let_20 (tptp.meet (tptp.meet _let_21 (tptp.join _let_20 _let_154)) _let_20)))) (let ((_let_156 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= X (tptp.join X (tptp.meet Y (tptp.meet X Z))))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (_let_156))) (let ((_let_159 (tptp.b tptp.b tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_160 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= X (tptp.meet X (tptp.join Y (tptp.join X Z))))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (_let_160))) (let ((_let_163 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Y (tptp.join (tptp.join (tptp.meet X Y) (tptp.meet Y Z)) Y))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (_let_163))) (let ((_let_166 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Y (tptp.meet (tptp.meet (tptp.join X Y) (tptp.join Y Z)) Y))))) (let ((_let_167 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_168 (_let_166))) (let ((_let_169 ((tptp.meet Y (tptp.meet X Z))))) (let ((_let_170 (tptp.meet Y Z))) (let ((_let_171 (tptp.meet X Y))) (let ((_let_172 ((tptp.join _let_171 _let_170)))) (let ((_let_173 ((tptp.join Y (tptp.join X Z))))) (let ((_let_174 (_let_171 _let_170))) (let ((_let_175 (tptp.join Y Z))) (let ((_let_176 (tptp.join X Y))) (let ((_let_177 (_let_176 _let_175))) (let ((_let_178 ((tptp.meet _let_176 _let_175)))) (let ((_let_179 (and _let_12 _let_15 _let_16 _let_19 _let_22 _let_23 _let_26 _let_28 _let_30 _let_33 _let_35 _let_39 _let_40 _let_43 _let_46 _let_49 _let_50 _let_53 _let_56 _let_58 _let_61 _let_64 _let_67 _let_68 _let_69 _let_72 _let_73 _let_74 _let_76 _let_79 _let_82 _let_84 _let_87 _let_88 _let_91 _let_94 _let_98 _let_101 _let_104 _let_106 _let_107 _let_108 _let_109 _let_111 _let_114 _let_115 _let_119 _let_123 _let_125 _let_128 _let_130 _let_132 _let_135 _let_136 _let_139 _let_140 _let_141 _let_142 _let_143 _let_146 _let_147 _let_148 _let_149 _let_150 _let_151 _let_152 _let_153 _let_155))) (let ((_let_180 (APPLY_UF tptp.meet))) (let ((_let_181 (ASSUME :args (_let_19)))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (CONG (REFL :args (tptp.a)) _let_182 :args _let_180))) (let ((_let_184 (ASSUME :args (_let_155)))) (let ((_let_185 (ASSUME :args (_let_123)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (APPLY_UF tptp.join))) (let ((_let_188 (REFL :args (_let_20)))) (let ((_let_189 (ASSUME :args (_let_68)))) (let ((_let_190 (SYMM _let_189))) (let ((_let_191 (ASSUME :args (_let_49)))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (REFL :args (tptp.b)))) (let ((_let_194 (ASSUME :args (_let_12)))) (let ((_let_195 (CONG (TRANS (CONG _let_182 (REFL :args (_let_10)) :args _let_187) (SYMM _let_194)) _let_193 :args _let_187))) (let ((_let_196 (ASSUME :args (_let_23)))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (ASSUME :args (_let_30)))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (ASSUME :args (_let_35)))) (let ((_let_202 (REFL :args (_let_29)))) (let ((_let_203 (CONG _let_202 (SYMM _let_201) :args _let_187))) (let ((_let_204 (CONG _let_202 (TRANS _let_192 _let_201) :args _let_187))) (let ((_let_205 (REFL :args (_let_47)))) (let ((_let_206 (CONG _let_205 (TRANS _let_204 _let_203 _let_200 _let_198 _let_195 (CONG _let_193 (SYMM _let_192) :args _let_187)) :args _let_180))) (let ((_let_207 (SYMM _let_204))) (let ((_let_208 (SYMM _let_203))) (let ((_let_209 (ASSUME :args (_let_15)))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (ASSUME :args (_let_16)))) (let ((_let_212 (CONG (SYMM _let_211) (REFL :args (_let_14)) :args _let_180))) (let ((_let_213 (TRANS _let_198 _let_195))) (let ((_let_214 (CONG _let_211 (TRANS _let_198 _let_195 (CONG _let_193 _let_213 :args _let_187)) :args _let_180))) (let ((_let_215 (SYMM _let_195))) (let ((_let_216 (TRANS _let_214 _let_212 _let_210))) (let ((_let_217 (CONG _let_193 _let_216 :args _let_180))) (let ((_let_218 (CONG (TRANS (CONG _let_205 (TRANS (CONG _let_216 (TRANS _let_217 _let_214 _let_212 _let_210) :args _let_187) _let_215 _let_197 _let_199 _let_208 _let_207) :args _let_180) _let_206 _let_190) (TRANS _let_214 _let_212 _let_210 _let_199 _let_208 _let_207) :args _let_180))) (let ((_let_219 (ASSUME :args (_let_74)))) (let ((_let_220 (SYMM 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_let_161 :args (_let_141 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_126 _let_54 _let_31 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_140 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_121 tptp.a _let_20 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_139 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_121 _let_2 _let_20 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_136 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_117 _let_9 _let_2 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_135 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_9 _let_131 _let_57 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_168)) _let_167 :args (_let_132 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_31 _let_62 _let_42 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_168)) _let_167 :args (_let_130 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_89 _let_31 _let_44 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_128 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_54 _let_77 _let_95 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_125 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_51 _let_20 _let_75 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_123 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.b _let_2 _let_80 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_119 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_96 _let_62 _let_2 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_165)) _let_164 :args (_let_115 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_85 _let_70 _let_31 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_114 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (tptp.a _let_31 _let_59 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_111 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_96 _let_96 _let_62 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_109 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_92 _let_92 tptp.a QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_108 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_99 _let_2 _let_42 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_107 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_2 _let_54 _let_71 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_106 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_92 _let_31 tptp.a QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_104 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_54 _let_42 tptp.a QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_168)) _let_167 :args (_let_101 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_31 _let_62 _let_57 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_168)) _let_167 :args (_let_98 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (tptp.b tptp.a _let_59 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_168)) _let_167 :args (_let_94 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_70 _let_31 tptp.a QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_168)) _let_167 :args (_let_91 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (tptp.a _let_59 _let_9 QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_168)) _let_167 :args (_let_88 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_29 _let_31 _let_41 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_87 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_2 _let_70 _let_1 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_84 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_2 _let_54 _let_1 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_82 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_54 _let_31 _let_65 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_79 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_1 tptp.b _let_9 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_76 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_1 _let_9 _let_10 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_168)) _let_167 :args (_let_74 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_17 _let_20 _let_9 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_168)) _let_167 :args (_let_73 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_24 _let_31 _let_41 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_72 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_9 _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_69 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_47 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_68 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_54 _let_54 _let_2 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_67 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_31 _let_24 _let_44 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_64 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (tptp.a _let_51 tptp.b QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_61 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_54 tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_58 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_9 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_168)) _let_167 :args (_let_56 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_17 _let_20 _let_2 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_168)) _let_167 :args (_let_53 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_11 _let_36 _let_27 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_50 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.a tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_49 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_31 _let_31 tptp.a QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_46 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_31 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_43 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_37 _let_24 _let_10 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_40 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (tptp.b _let_10 _let_2 QUANTIFIERS_INST_E_MATCHING _let_177)) :args _let_168)) _let_167 :args (_let_39 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.b tptp.b _let_34 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_35 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.b tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_33 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.a tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_165)) _let_164 :args (_let_30 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_24 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_173)) :args _let_162)) _let_161 :args (_let_28 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.b tptp.b tptp.a QUANTIFIERS_INST_ENUM)) :args _let_165)) _let_164 :args (_let_26 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_17 tptp.b _let_9 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_165)) _let_164 :args (_let_23 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_17 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_158)) _let_157 :args (_let_22 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args _let_159) :args _let_168)) _let_167 :args (_let_19 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args _let_159) :args _let_165)) _let_164 :args (_let_16 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args _let_159) :args _let_162)) _let_161 :args (_let_15 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args _let_159) :args _let_158)) _let_157 :args (_let_12 false _let_156)) (ASSUME :args (_let_4)) :args (false false _let_155 false _let_153 false _let_152 false _let_151 false _let_150 false _let_149 false _let_148 false _let_147 false _let_146 false _let_143 false _let_142 false _let_141 false _let_140 false _let_139 false _let_136 false _let_135 false _let_132 false _let_130 false _let_128 false _let_125 false _let_123 false _let_119 false _let_115 false _let_114 false _let_111 false _let_109 false _let_108 false _let_107 false _let_106 false _let_104 false _let_101 false _let_98 false _let_94 false _let_91 false _let_88 false _let_87 false _let_84 false _let_82 false _let_79 false _let_76 false _let_74 false _let_73 false _let_72 false _let_69 false _let_68 false _let_67 false _let_64 false _let_61 false _let_58 false _let_56 false _let_53 false _let_50 false _let_49 false _let_46 false _let_43 false _let_40 false _let_39 false _let_35 false _let_33 false _let_30 false _let_28 false _let_26 false _let_23 false _let_22 false _let_19 false _let_16 false _let_15 false _let_12 true _let_3)) :args (_let_8 _let_7 _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.88/2.11 )
% 1.88/2.11 % SZS output end Proof for LAT012-1
% 1.88/2.11 % cvc5---1.0.5 exiting
% 1.88/2.12 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------