TSTP Solution File: LAT005-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT005-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 06:02:34 EDT 2023

% Result   : Unsatisfiable 2.97s 3.16s
% Output   : Proof 2.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LAT005-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 09:07:11 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YcDz5zFSWD/cvc5---1.0.5_27653.p...
% 0.20/0.49  ------- get file name : TPTP file name is LAT005-3
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27653.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.97/3.16  % SZS status Unsatisfiable for LAT005-3
% 2.97/3.16  % SZS output start Proof for LAT005-3
% 2.97/3.18  (
% 2.97/3.18  (let ((_let_1 (tptp.meet tptp.r2 tptp.a))) (let ((_let_2 (tptp.join tptp.r1 _let_1))) (let ((_let_3 (tptp.meet tptp.r2 tptp.b))) (let ((_let_4 (tptp.join tptp.r1 _let_3))) (let ((_let_5 (tptp.meet _let_4 _let_2))) (let ((_let_6 (= tptp.r1 _let_5))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.meet tptp.a tptp.b))) (let ((_let_9 (tptp.complement tptp.r2 _let_8))) (let ((_let_10 (tptp.join tptp.a tptp.b))) (let ((_let_11 (tptp.complement tptp.r1 _let_10))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.complement X Y)) (= (tptp.join X Y) tptp.n1))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.complement X Y)) (= (tptp.meet X Y) tptp.n0))))) (let ((_let_14 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Z) X)) (= (tptp.meet Z (tptp.join X Y)) (tptp.join X (tptp.meet Y Z))))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_21 (forall ((X $$unsorted)) (= (tptp.join X X) X)))) (let ((_let_22 (tptp.meet tptp.r1 _let_4))) (let ((_let_23 (= tptp.r1 _let_22))) (let ((_let_24 (tptp.meet tptp.r1 _let_2))) (let ((_let_25 (= tptp.r1 _let_24))) (let ((_let_26 (tptp.meet tptp.a _let_10))) (let ((_let_27 (= tptp.a _let_26))) (let ((_let_28 (tptp.join tptp.a _let_8))) (let ((_let_29 (= tptp.a _let_28))) (let ((_let_30 (tptp.join tptp.r2 _let_1))) (let ((_let_31 (= tptp.r2 _let_30))) (let ((_let_32 (tptp.join tptp.r2 _let_3))) (let ((_let_33 (= tptp.r2 _let_32))) (let ((_let_34 (tptp.meet tptp.a tptp.r2))) (let ((_let_35 (= _let_1 _let_34))) (let ((_let_36 (tptp.meet _let_2 _let_4))) (let ((_let_37 (= _let_5 _let_36))) (let ((_let_38 (tptp.join _let_3 tptp.r1))) (let ((_let_39 (= _let_4 _let_38))) (let ((_let_40 (tptp.join _let_1 tptp.r1))) (let ((_let_41 (= _let_2 _let_40))) (let ((_let_42 (tptp.join tptp.b tptp.a))) (let ((_let_43 (= _let_10 _let_42))) (let ((_let_44 (tptp.meet _let_1 _let_4))) (let ((_let_45 (tptp.join tptp.r1 _let_44))) (let ((_let_46 (= _let_5 _let_45))) (let ((_let_47 (tptp.meet tptp.r1 _let_10))) (let ((_let_48 (= tptp.n0 _let_47))) (let ((_let_49 (tptp.meet tptp.r2 _let_8))) (let ((_let_50 (= tptp.n0 _let_49))) (let ((_let_51 (tptp.join tptp.r1 _let_10))) (let ((_let_52 (= tptp.n1 _let_51))) (let ((_let_53 (= tptp.n1 (tptp.join tptp.r2 _let_8)))) (let ((_let_54 (= tptp.r1 (tptp.meet tptp.r1 _let_51)))) (let ((_let_55 (= tptp.r1 (tptp.meet tptp.r1 _let_45)))) (let ((_let_56 (= tptp.b (tptp.meet tptp.b _let_42)))) (let ((_let_57 (= tptp.r2 (tptp.meet tptp.r2 _let_32)))) (let ((_let_58 (= _let_1 (tptp.meet _let_1 _let_40)))) (let ((_let_59 (= tptp.r1 (tptp.join tptp.r1 _let_47)))) (let ((_let_60 (tptp.meet tptp.r1 _let_1))) (let ((_let_61 (= tptp.r1 (tptp.join tptp.r1 _let_60)))) (let ((_let_62 (tptp.join tptp.a _let_34))) (let ((_let_63 (= tptp.a _let_62))) (let ((_let_64 (tptp.join _let_1 _let_44))) (let ((_let_65 (= _let_1 _let_64))) (let ((_let_66 (tptp.meet tptp.a tptp.r1))) (let ((_let_67 (= (tptp.meet tptp.r1 tptp.a) _let_66))) (let ((_let_68 (tptp.meet tptp.r1 tptp.b))) (let ((_let_69 (= _let_68 (tptp.meet tptp.b tptp.r1)))) (let ((_let_70 (tptp.meet _let_10 tptp.r1))) (let ((_let_71 (= _let_47 _let_70))) (let ((_let_72 (tptp.meet _let_4 tptp.r1))) (let ((_let_73 (= _let_22 _let_72))) (let ((_let_74 (tptp.meet _let_1 tptp.r1))) (let ((_let_75 (= _let_60 _let_74))) (let ((_let_76 (tptp.meet _let_2 tptp.r1))) (let ((_let_77 (= _let_24 _let_76))) (let ((_let_78 (tptp.meet _let_10 tptp.a))) (let ((_let_79 (= _let_26 _let_78))) (let ((_let_80 (tptp.meet _let_8 tptp.r2))) (let ((_let_81 (= _let_49 _let_80))) (let ((_let_82 (= _let_45 (tptp.join _let_44 tptp.r1)))) (let ((_let_83 (tptp.meet _let_1 tptp.b))) (let ((_let_84 (= _let_49 _let_83))) (let ((_let_85 (tptp.meet tptp.r1 tptp.r2))) (let ((_let_86 (= _let_60 (tptp.meet _let_85 tptp.a)))) (let ((_let_87 (tptp.join _let_8 _let_8))) (let ((_let_88 (tptp.join tptp.a _let_87))) (let ((_let_89 (= (tptp.join _let_28 _let_8) _let_88))) (let ((_let_90 (tptp.join tptp.r1 tptp.a))) (let ((_let_91 (= _let_51 (tptp.join _let_90 tptp.b)))) (let ((_let_92 (tptp.meet _let_3 _let_2))) (let ((_let_93 (= _let_36 (tptp.join tptp.r1 _let_92)))) (let ((_let_94 (tptp.meet _let_10 _let_42))) (let ((_let_95 (= _let_94 (tptp.join tptp.b _let_26)))) (let ((_let_96 (= _let_8 _let_87))) (let ((_let_97 (tptp.join _let_3 _let_3))) (let ((_let_98 (= _let_3 _let_97))) (let ((_let_99 (= _let_8 (tptp.join _let_8 _let_80)))) (let ((_let_100 (tptp.meet _let_3 _let_1))) (let ((_let_101 (= _let_3 (tptp.join _let_3 _let_100)))) (let ((_let_102 (tptp.meet _let_2 tptp.a))) (let ((_let_103 (= _let_2 (tptp.join _let_2 _let_102)))) (let ((_let_104 (tptp.meet _let_44 tptp.r1))) (let ((_let_105 (tptp.meet tptp.r1 _let_44))) (let ((_let_106 (= _let_105 _let_104))) (let ((_let_107 (tptp.meet tptp.b _let_10))) (let ((_let_108 (tptp.meet _let_10 tptp.b))) (let ((_let_109 (= _let_108 _let_107))) (let ((_let_110 (tptp.meet _let_2 _let_3))) (let ((_let_111 (= _let_110 _let_92))) (let ((_let_112 (tptp.meet _let_2 _let_1))) (let ((_let_113 (= _let_112 (tptp.meet _let_1 _let_2)))) (let ((_let_114 (tptp.meet tptp.b _let_1))) (let ((_let_115 (= _let_83 _let_114))) (let ((_let_116 (tptp.meet tptp.a _let_2))) (let ((_let_117 (= _let_102 _let_116))) (let ((_let_118 (tptp.meet _let_10 _let_2))) (let ((_let_119 (tptp.meet _let_2 _let_10))) (let ((_let_120 (= _let_119 _let_118))) (let ((_let_121 (tptp.meet tptp.b _let_2))) (let ((_let_122 (tptp.meet _let_2 tptp.b))) (let ((_let_123 (= _let_122 _let_121))) (let ((_let_124 (tptp.join tptp.a tptp.r1))) (let ((_let_125 (= _let_90 _let_124))) (let ((_let_126 (tptp.join _let_80 tptp.a))) (let ((_let_127 (= (tptp.join tptp.a _let_80) _let_126))) (let ((_let_128 (= _let_62 (tptp.join _let_34 tptp.a)))) (let ((_let_129 (= (tptp.meet (tptp.meet tptp.r2 _let_30) _let_8) (tptp.meet tptp.r2 (tptp.meet _let_30 _let_8))))) (let ((_let_130 (= _let_92 (tptp.meet tptp.r2 _let_121)))) (let ((_let_131 (tptp.meet tptp.b _let_70))) (let ((_let_132 (= (tptp.meet _let_107 tptp.r1) _let_131))) (let ((_let_133 (= _let_100 (tptp.meet tptp.r2 _let_114)))) (let ((_let_134 (= _let_74 (tptp.meet tptp.r2 _let_66)))) (let ((_let_135 (tptp.meet _let_36 _let_51))) (let ((_let_136 (= (tptp.meet (tptp.meet tptp.r1 _let_36) _let_51) (tptp.meet tptp.r1 _let_135)))) (let ((_let_137 (= (tptp.meet _let_47 tptp.a) (tptp.meet tptp.r1 _let_78)))) (let ((_let_138 (= _let_105 (tptp.meet _let_60 _let_4)))) (let ((_let_139 (= _let_104 (tptp.meet _let_1 _let_72)))) (let ((_let_140 (= (tptp.meet (tptp.meet _let_85 _let_10) tptp.a) (tptp.meet _let_85 _let_78)))) (let ((_let_141 (tptp.meet _let_2 tptp.r2))) (let ((_let_142 (tptp.meet _let_141 tptp.a))) (let ((_let_143 (= _let_112 _let_142))) (let ((_let_144 (tptp.meet _let_141 tptp.b))) (let ((_let_145 (= _let_110 _let_144))) (let ((_let_146 (tptp.meet _let_119 _let_42))) (let ((_let_147 (= _let_146 (tptp.meet _let_2 _let_94)))) (let ((_let_148 (= (tptp.meet _let_122 _let_10) (tptp.meet _let_2 _let_107)))) (let ((_let_149 (tptp.meet _let_119 tptp.a))) (let ((_let_150 (= _let_149 (tptp.meet _let_2 _let_78)))) (let ((_let_151 (= (tptp.join _let_88 _let_80) (tptp.join tptp.a (tptp.join _let_87 _let_80))))) (let ((_let_152 (tptp.join _let_2 _let_44))) (let ((_let_153 (= _let_152 (tptp.join tptp.r1 _let_64)))) (let ((_let_154 (= _let_80 (tptp.meet _let_80 _let_126)))) (let ((_let_155 (tptp.join _let_2 tptp.a))) (let ((_let_156 (tptp.meet _let_2 _let_155))) (let ((_let_157 (= _let_2 _let_156))) (let ((_let_158 (tptp.join _let_2 _let_10))) (let ((_let_159 (= _let_2 (tptp.meet _let_2 _let_158)))) (let ((_let_160 (tptp.join _let_74 tptp.b))) (let ((_let_161 (= _let_74 (tptp.meet _let_74 _let_160)))) (let ((_let_162 (= tptp.b (tptp.join tptp.b _let_114)))) (let ((_let_163 (tptp.meet tptp.a _let_119))) (let ((_let_164 (= _let_149 _let_163))) (let ((_let_165 (= (tptp.meet _let_87 _let_2) (tptp.meet _let_2 _let_87)))) (let ((_let_166 (= _let_131 (tptp.meet _let_70 tptp.b)))) (let ((_let_167 (tptp.meet tptp.b _let_141))) (let ((_let_168 (= _let_144 _let_167))) (let ((_let_169 (tptp.meet _let_10 _let_102))) (let ((_let_170 (= (tptp.meet _let_102 _let_10) _let_169))) (let ((_let_171 (tptp.join _let_44 _let_2))) (let ((_let_172 (= _let_171 _let_152))) (let ((_let_173 (= _let_160 (tptp.join tptp.b _let_74)))) (let ((_let_174 (= (tptp.meet _let_146 _let_124) (tptp.meet _let_119 (tptp.meet _let_42 _let_124))))) (let ((_let_175 (= (tptp.meet _let_8 _let_2) (tptp.meet tptp.a _let_121)))) (let ((_let_176 (= _let_169 (tptp.meet _let_118 tptp.a)))) (let ((_let_177 (= (tptp.meet _let_121 _let_10) (tptp.meet tptp.b _let_119)))) (let ((_let_178 (= (tptp.meet _let_5 _let_51) (tptp.meet _let_4 (tptp.meet _let_2 _let_51))))) (let ((_let_179 (tptp.meet _let_119 tptp.b))) (let ((_let_180 (= _let_179 (tptp.meet _let_2 _let_108)))) (let ((_let_181 (tptp.meet _let_167 tptp.a))) (let ((_let_182 (= _let_181 (tptp.meet tptp.b _let_142)))) (let ((_let_183 (= _let_155 (tptp.join tptp.r1 (tptp.join _let_1 tptp.a))))) (let ((_let_184 (= _let_158 (tptp.join _let_155 tptp.b)))) (let ((_let_185 (tptp.meet _let_10 _let_124))) (let ((_let_186 (= _let_185 (tptp.join tptp.a _let_47)))) (let ((_let_187 (= (tptp.meet tptp.b _let_38) (tptp.join _let_3 _let_68)))) (let ((_let_188 (= (tptp.meet tptp.r1 _let_171) (tptp.join _let_44 _let_76)))) (let ((_let_189 (= (tptp.meet _let_2 _let_126) (tptp.join _let_80 _let_116)))) (let ((_let_190 (tptp.meet _let_8 _let_135))) (let ((_let_191 (= (tptp.meet _let_135 _let_8) _let_190))) (let ((_let_192 (= _let_156 (tptp.meet _let_155 _let_2)))) (let ((_let_193 (tptp.meet _let_5 tptp.b))) (let ((_let_194 (tptp.meet tptp.b _let_5))) (let ((_let_195 (= _let_194 _let_193))) (let ((_let_196 (= (tptp.meet tptp.b _let_102) (tptp.meet _let_102 tptp.b)))) (let ((_let_197 (= _let_181 (tptp.meet tptp.a _let_167)))) (let ((_let_198 (= (tptp.meet _let_185 _let_2) (tptp.meet _let_10 (tptp.meet _let_124 _let_2))))) (let ((_let_199 (= _let_193 (tptp.meet _let_4 _let_122)))) (let ((_let_200 (= _let_190 (tptp.meet tptp.a (tptp.meet tptp.b _let_135))))) (let ((_let_201 (= (tptp.meet _let_5 _let_8) (tptp.meet _let_4 (tptp.meet _let_2 _let_8))))) (let ((_let_202 (= (tptp.meet _let_163 tptp.b) (tptp.meet tptp.a _let_179)))) (let ((_let_203 (= _let_194 (tptp.meet (tptp.meet tptp.b _let_4) _let_2)))) (let ((_let_204 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_205 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_206 (_let_204))) (let ((_let_207 ((tptp.join X Y)))) (let ((_let_208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (tptp.r1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_207)) :args _let_206)) _let_205 :args (_let_23 false _let_204)))) (let ((_let_209 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (tptp.r1 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_207)) :args _let_206)) _let_205 :args (_let_25 false _let_204)))) (let ((_let_210 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_207)) :args _let_206)) _let_205 :args (_let_27 false _let_204)))) (let ((_let_211 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_212 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_213 (_let_211))) (let ((_let_214 ((tptp.meet X Y)))) (let ((_let_215 (_let_18))) (let ((_let_216 (ASSUME :args _let_215))) (let ((_let_217 ((tptp.meet X Y)))) (let ((_let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_4 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_37 false _let_18)))) (let ((_let_219 (_let_17))) (let ((_let_220 (ASSUME :args _let_219))) (let ((_let_221 ((tptp.join X Y)))) (let ((_let_222 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_221)) :args _let_219)) _let_220 :args (_let_43 false _let_17)))) (let ((_let_223 (not _let_23))) (let ((_let_224 (or _let_223 _let_46))) (let ((_let_225 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (not (= X (tptp.meet X Z))) (= (tptp.meet Z (tptp.join X Y)) (tptp.join X (tptp.meet Y Z))))))) (let ((_let_226 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_227 (_let_225))) (let ((_let_228 ((tptp.meet Z (tptp.join X Y))))) (let ((_let_229 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_224)) :args ((or _let_223 _let_46 (not _let_224)))) _let_208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_226 :args (tptp.r1 _let_4 _let_1 QUANTIFIERS_INST_E_MATCHING _let_228)) :args _let_227)) _let_226 :args (_let_224 false _let_225)) :args (_let_46 false _let_23 false _let_224)))) (let ((_let_230 (not _let_11))) (let ((_let_231 (or _let_230 _let_48))) (let ((_let_232 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.complement X Y)) (= tptp.n0 (tptp.meet X Y)))))) (let ((_let_233 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_234 (_let_232))) (let ((_let_235 ((not (= (tptp.complement X Y) false))))) (let ((_let_236 (ASSUME :args (_let_11)))) (let ((_let_237 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_230 _let_48 (not _let_231)))) _let_236 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (tptp.r1 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_235)) :args _let_234)) _let_233 :args (_let_231 false _let_232)) :args (_let_48 false _let_11 false _let_231)))) (let ((_let_238 (not _let_9))) (let ((_let_239 (or _let_238 _let_50))) (let ((_let_240 (ASSUME :args (_let_9)))) (let ((_let_241 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_239)) :args ((or _let_238 _let_50 (not _let_239)))) _let_240 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (tptp.r2 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_235)) :args _let_234)) _let_233 :args (_let_239 false _let_232)) :args (_let_50 false _let_9 false _let_239)))) (let ((_let_242 (or _let_230 _let_52))) (let ((_let_243 (forall ((X $$unsorted) (Y $$unsorted)) (or (not 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (tptp.r1 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_214)) :args _let_213)) _let_212 :args (_let_61 false _let_211)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (tptp.r1 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_214)) :args _let_213)) _let_212 :args (_let_59 false _let_211)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (_let_1 tptp.r1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_207)) :args _let_206)) _let_205 :args (_let_58 false _let_204)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (tptp.r2 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_207)) :args _let_206)) _let_205 :args (_let_57 false _let_204)) _let_250 _let_249 _let_248 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_247)) :args ((or _let_238 _let_53 (not _let_247)))) _let_240 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_244 :args (tptp.r2 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_246)) :args _let_245)) _let_244 :args (_let_247 false _let_243)) :args (_let_53 false _let_9 false _let_247)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_242)) :args ((or _let_230 _let_52 (not _let_242)))) _let_236 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_244 :args (tptp.r1 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_246)) :args _let_245)) _let_244 :args (_let_242 false _let_243)) :args (_let_52 false _let_11 false _let_242)) _let_241 _let_237 _let_229 _let_222 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (tptp.r1 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_221)) :args _let_219)) _let_220 :args (_let_41 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (tptp.r1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_221)) :args _let_219)) _let_220 :args (_let_39 false _let_17)) _let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (tptp.r2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_35 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (tptp.r2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_214)) :args _let_213)) _let_212 :args (_let_33 false _let_211)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (tptp.r2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_214)) :args _let_213)) _let_212 :args (_let_31 false _let_211)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_214)) :args _let_213)) _let_212 :args (_let_29 false _let_211)) _let_210 _let_209 _let_208 :args (false false _let_203 false _let_202 false _let_201 false _let_200 false _let_199 false _let_198 false _let_197 false _let_196 false _let_195 false _let_192 false _let_191 false _let_189 true _let_188 false _let_187 false _let_186 false _let_184 false _let_183 false _let_182 false _let_180 false _let_178 false _let_177 false _let_176 false _let_175 false _let_174 false _let_173 false _let_172 false _let_170 false _let_168 false _let_166 false _let_165 false _let_164 false _let_162 false _let_161 false _let_159 false _let_157 false _let_154 false _let_153 false _let_151 false _let_150 false _let_148 false _let_147 false _let_145 false _let_143 false _let_140 false _let_139 false _let_138 false _let_137 false _let_136 false _let_134 false _let_133 false _let_132 false _let_130 false _let_129 false _let_128 false _let_127 false _let_125 false _let_123 false _let_120 false _let_117 false _let_115 false _let_113 false _let_111 false _let_109 false _let_106 false _let_103 false _let_101 false _let_99 false _let_98 false _let_96 false _let_95 false _let_93 false _let_91 false _let_89 false _let_86 false _let_84 false _let_82 false _let_81 false _let_79 false _let_77 false _let_75 false _let_73 false _let_71 false _let_69 false _let_67 false _let_65 false _let_63 false _let_61 false _let_59 false _let_58 false _let_57 false _let_56 false _let_55 false _let_54 false _let_53 false _let_52 false _let_50 false _let_48 false _let_46 false _let_43 false _let_41 false _let_39 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_23)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 (forall ((X $$unsorted)) (= (tptp.meet X tptp.n0) tptp.n0)) (forall ((X $$unsorted)) (= (tptp.join X tptp.n0) X)) (forall ((X $$unsorted)) (= (tptp.meet X tptp.n1) X)) (forall ((X $$unsorted)) (= (tptp.join X tptp.n1) tptp.n1)) _let_14 _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Y) tptp.n0)) (not (= (tptp.join X Y) tptp.n1)) (tptp.complement X Y))) _let_11 _let_9 _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.97/3.18  )
% 2.97/3.19  % SZS output end Proof for LAT005-3
% 2.97/3.19  % cvc5---1.0.5 exiting
% 2.97/3.19  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------