TSTP Solution File: LAT399-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT399-2 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 06:04:41 EDT 2023

% Result   : Unsatisfiable 2.40s 2.63s
% Output   : Proof 2.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT399-2 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 07:05:50 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.47  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.sw0sOgY1k1/cvc5---1.0.5_23131.p...
% 0.20/0.48  ------- get file name : TPTP file name is LAT399-2
% 0.20/0.48  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23131.smt2...
% 0.20/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.40/2.63  % SZS status Unsatisfiable for LAT399-2
% 2.40/2.63  % SZS output start Proof for LAT399-2
% 2.46/2.64  (
% 2.46/2.64  (let ((_let_1 (tptp.meet tptp.a tptp.z1))) (let ((_let_2 (tptp.lome _let_1 tptp.z2 tptp.z3))) (let ((_let_3 (tptp.upme _let_1 tptp.z2 tptp.z3))) (let ((_let_4 (= _let_3 _let_2))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.meet tptp.a X1))) (= (tptp.join (tptp.upme _let_1 Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet _let_1 Y1) W) (tptp.join (tptp.meet _let_1 W) Y1))))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_15 (tptp.join tptp.z2 tptp.z3))) (let ((_let_16 (tptp.meet _let_1 _let_15))) (let ((_let_17 (= _let_3 _let_16))) (let ((_let_18 (tptp.meet _let_1 tptp.z3))) (let ((_let_19 (tptp.meet _let_1 tptp.z2))) (let ((_let_20 (tptp.join _let_19 _let_18))) (let ((_let_21 (= _let_2 _let_20))) (let ((_let_22 (tptp.join _let_18 tptp.z2))) (let ((_let_23 (tptp.join _let_19 tptp.z3))) (let ((_let_24 (tptp.meet _let_23 _let_22))) (let ((_let_25 (tptp.meet tptp.z2 tptp.z3))) (let ((_let_26 (tptp.join _let_3 _let_25))) (let ((_let_27 (= _let_26 _let_24))) (let ((_let_28 (tptp.meet tptp.z3 tptp.z2))) (let ((_let_29 (= _let_25 _let_28))) (let ((_let_30 (tptp.meet tptp.z2 _let_1))) (let ((_let_31 (= _let_19 _let_30))) (let ((_let_32 (tptp.meet _let_15 _let_1))) (let ((_let_33 (= _let_16 _let_32))) (let ((_let_34 (tptp.meet _let_22 _let_23))) (let ((_let_35 (= _let_24 _let_34))) (let ((_let_36 (tptp.meet tptp.z1 _let_15))) (let ((_let_37 (tptp.meet tptp.a _let_36))) (let ((_let_38 (= _let_16 _let_37))) (let ((_let_39 (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) (let ((_let_40 (= _let_18 _let_39))) (let ((_let_41 (tptp.meet tptp.z1 tptp.z2))) (let ((_let_42 (tptp.meet tptp.a _let_41))) (let ((_let_43 (= _let_19 _let_42))) (let ((_let_44 (tptp.join tptp.z3 tptp.z2))) (let ((_let_45 (= _let_15 _let_44))) (let ((_let_46 (= _let_26 (tptp.join _let_25 _let_3)))) (let ((_let_47 (tptp.join tptp.z3 _let_19))) (let ((_let_48 (= _let_23 _let_47))) (let ((_let_49 (tptp.join _let_18 _let_19))) (let ((_let_50 (= _let_20 _let_49))) (let ((_let_51 (tptp.join tptp.z2 _let_18))) (let ((_let_52 (= _let_22 _let_51))) (let ((_let_53 (tptp.join tptp.z2 _let_25))) (let ((_let_54 (= tptp.z2 _let_53))) (let ((_let_55 (tptp.join _let_1 _let_16))) (let ((_let_56 (= _let_1 _let_55))) (let ((_let_57 (tptp.join tptp.a _let_1))) (let ((_let_58 (tptp.meet tptp.a _let_57))) (let ((_let_59 (= tptp.a _let_58))) (let ((_let_60 (tptp.meet tptp.z2 _let_15))) (let ((_let_61 (= tptp.z2 _let_60))) (let ((_let_62 (tptp.meet _let_3 _let_26))) (let ((_let_63 (= _let_3 _let_62))) (let ((_let_64 (tptp.meet _let_19 _let_20))) (let ((_let_65 (= _let_19 _let_64))) (let ((_let_66 (tptp.meet _let_18 _let_22))) (let ((_let_67 (= _let_18 _let_66))) (let ((_let_68 (tptp.meet _let_1 _let_18))) (let ((_let_69 (tptp.join _let_68 tptp.z2))) (let ((_let_70 (tptp.meet _let_20 _let_69))) (let ((_let_71 (tptp.meet tptp.z2 _let_18))) (let ((_let_72 (tptp.upme _let_1 tptp.z2 _let_18))) (let ((_let_73 (tptp.join _let_72 _let_71))) (let ((_let_74 (= _let_73 _let_70))) (let ((_let_75 (tptp.meet _let_1 _let_25))) (let ((_let_76 (tptp.join _let_75 _let_15))) (let ((_let_77 (tptp.join _let_16 _let_25))) (let ((_let_78 (tptp.meet _let_77 _let_76))) (let ((_let_79 (tptp.meet _let_15 _let_25))) (let ((_let_80 (tptp.upme _let_1 _let_15 _let_25))) (let ((_let_81 (tptp.join _let_80 _let_79))) (let ((_let_82 (= _let_81 _let_78))) (let ((_let_83 (tptp.meet _let_69 _let_20))) (let ((_let_84 (tptp.meet _let_18 tptp.z2))) (let ((_let_85 (tptp.upme _let_1 _let_18 tptp.z2))) (let ((_let_86 (= (tptp.join _let_85 _let_84) _let_83))) (let ((_let_87 (tptp.meet _let_76 _let_77))) (let ((_let_88 (tptp.meet _let_25 _let_15))) (let ((_let_89 (tptp.upme _let_1 _let_25 _let_15))) (let ((_let_90 (tptp.join _let_89 _let_88))) (let ((_let_91 (= _let_90 _let_87))) (let ((_let_92 (= _let_71 _let_84))) (let ((_let_93 (= _let_70 _let_83))) (let ((_let_94 (= _let_79 _let_88))) (let ((_let_95 (= _let_78 _let_87))) (let ((_let_96 (= (tptp.meet tptp.z3 _let_60) (tptp.meet _let_28 _let_15)))) (let ((_let_97 (tptp.meet _let_3 _let_22))) (let ((_let_98 (= (tptp.meet _let_3 _let_34) (tptp.meet _let_97 _let_23)))) (let ((_let_99 (tptp.meet _let_1 _let_1))) (let ((_let_100 (= _let_68 (tptp.meet _let_99 tptp.z3)))) (let ((_let_101 (= _let_71 (tptp.meet _let_30 tptp.z3)))) (let ((_let_102 (= _let_75 (tptp.meet _let_19 tptp.z3)))) (let ((_let_103 (tptp.meet _let_84 _let_15))) (let ((_let_104 (= (tptp.meet _let_18 _let_60) _let_103))) (let ((_let_105 (tptp.meet tptp.z2 _let_32))) (let ((_let_106 (= _let_105 (tptp.meet _let_60 _let_1)))) (let ((_let_107 (tptp.meet _let_57 _let_36))) (let ((_let_108 (tptp.meet tptp.a _let_107))) (let ((_let_109 (= _let_108 (tptp.meet _let_58 _let_36)))) (let ((_let_110 (tptp.meet _let_26 _let_26))) (let ((_let_111 (tptp.meet _let_3 _let_110))) (let ((_let_112 (= _let_111 (tptp.meet _let_62 _let_26)))) (let ((_let_113 (= _let_66 (tptp.meet _let_1 (tptp.meet tptp.z3 _let_22))))) (let ((_let_114 (tptp.meet tptp.z1 _let_18))) (let ((_let_115 (tptp.meet tptp.a _let_114))) (let ((_let_116 (= _let_68 _let_115))) (let ((_let_117 (tptp.join _let_71 _let_72))) (let ((_let_118 (= _let_73 _let_117))) (let ((_let_119 (= _let_69 (tptp.join tptp.z2 _let_68)))) (let ((_let_120 (= _let_81 (tptp.join _let_79 _let_80)))) (let ((_let_121 (= _let_90 (tptp.join _let_88 _let_89)))) (let ((_let_122 (tptp.join _let_22 _let_25))) (let ((_let_123 (= (tptp.join _let_18 _let_53) _let_122))) (let ((_let_124 (tptp.join _let_44 _let_25))) (let ((_let_125 (= (tptp.join tptp.z3 _let_53) _let_124))) (let ((_let_126 (tptp.join _let_75 tptp.z2))) (let ((_let_127 (= _let_76 (tptp.join _let_126 tptp.z3)))) (let ((_let_128 (tptp.join tptp.z2 _let_71))) (let ((_let_129 (= tptp.z2 _let_128))) (let ((_let_130 (= _let_20 (tptp.join _let_20 _let_70)))) (let ((_let_131 (tptp.join _let_19 _let_64))) (let ((_let_132 (= _let_19 _let_131))) (let ((_let_133 (tptp.join _let_18 _let_66))) (let ((_let_134 (= _let_18 _let_133))) (let ((_let_135 (tptp.join _let_77 _let_78))) (let ((_let_136 (= _let_77 _let_135))) (let ((_let_137 (tptp.meet tptp.z3 _let_47))) (let ((_let_138 (= tptp.z3 _let_137))) (let ((_let_139 (= _let_1 (tptp.meet _let_1 _let_55)))) (let ((_let_140 (= _let_18 (tptp.meet _let_18 _let_49)))) (let ((_let_141 (tptp.meet _let_72 _let_73))) (let ((_let_142 (= _let_72 _let_141))) (let ((_let_143 (= _let_89 (tptp.meet _let_89 _let_90)))) (let ((_let_144 (= _let_72 (tptp.meet _let_1 _let_51)))) (let ((_let_145 (= _let_80 (tptp.meet _let_1 (tptp.join _let_15 _let_25))))) (let ((_let_146 (= _let_85 (tptp.meet _let_1 _let_22)))) (let ((_let_147 (tptp.join _let_25 _let_15))) (let ((_let_148 (tptp.meet _let_1 _let_147))) (let ((_let_149 (= _let_89 _let_148))) (let ((_let_150 (= _let_62 (tptp.upme _let_3 _let_3 _let_25)))) (let ((_let_151 (tptp.meet _let_42 _let_18))) (let ((_let_152 (tptp.join _let_151 _let_20))) (let ((_let_153 (tptp.join (tptp.meet _let_42 _let_20) _let_18))) (let ((_let_154 (tptp.meet _let_153 _let_152))) (let ((_let_155 (tptp.meet _let_20 _let_18))) (let ((_let_156 (tptp.upme _let_42 _let_20 _let_18))) (let ((_let_157 (tptp.join _let_156 _let_155))) (let ((_let_158 (= _let_157 _let_154))) (let ((_let_159 (tptp.meet _let_32 tptp.z2))) (let ((_let_160 (= _let_105 _let_159))) (let ((_let_161 (= _let_155 (tptp.meet _let_18 _let_20)))) (let ((_let_162 (= _let_154 (tptp.meet _let_152 _let_153)))) (let ((_let_163 (= _let_151 (tptp.meet _let_18 _let_42)))) (let ((_let_164 (= (tptp.meet _let_15 _let_99) (tptp.meet _let_32 _let_1)))) (let ((_let_165 (tptp.meet _let_37 _let_25))) (let ((_let_166 (= _let_165 (tptp.meet (tptp.meet _let_37 tptp.z2) tptp.z3)))) (let ((_let_167 (tptp.meet _let_110 _let_22))) (let ((_let_168 (= (tptp.meet _let_3 _let_167) (tptp.meet _let_111 _let_22)))) (let ((_let_169 (tptp.meet _let_47 _let_22))) (let ((_let_170 (tptp.meet tptp.z3 _let_169))) (let ((_let_171 (= _let_170 (tptp.meet _let_137 _let_22)))) (let ((_let_172 (tptp.meet _let_147 _let_90))) (let ((_let_173 (tptp.meet _let_1 _let_172))) (let ((_let_174 (= _let_173 (tptp.meet _let_148 _let_90)))) (let ((_let_175 (= _let_128 (tptp.join _let_71 tptp.z2)))) (let ((_let_176 (= (tptp.join _let_16 _let_19) (tptp.join _let_19 _let_16)))) (let ((_let_177 (= (tptp.join _let_16 _let_18) (tptp.join _let_18 _let_16)))) (let ((_let_178 (= _let_124 (tptp.join _let_25 _let_44)))) (let ((_let_179 (tptp.meet _let_39 tptp.z2))) (let ((_let_180 (tptp.join _let_179 _let_22))) (let ((_let_181 (= _let_180 (tptp.join _let_22 _let_179)))) (let ((_let_182 (= _let_157 (tptp.join _let_155 _let_156)))) (let ((_let_183 (= (tptp.join _let_19 _let_133) (tptp.join _let_20 _let_66)))) (let ((_let_184 (= (tptp.join _let_18 _let_128) (tptp.join _let_22 _let_71)))) (let ((_let_185 (= (tptp.join _let_19 (tptp.join _let_64 _let_18)) (tptp.join _let_131 _let_18)))) (let ((_let_186 (= _let_37 (tptp.join _let_37 _let_165)))) (let ((_let_187 (tptp.join _let_72 _let_141))) (let ((_let_188 (= _let_72 _let_187))) (let ((_let_189 (= _let_84 (tptp.join _let_84 _let_103)))) (let ((_let_190 (= _let_77 (tptp.meet _let_77 _let_135)))) (let ((_let_191 (= _let_22 (tptp.meet _let_22 _let_122)))) (let ((_let_192 (= _let_156 (tptp.meet _let_42 (tptp.join _let_20 _let_18))))) (let ((_let_193 (= _let_97 (tptp.upme _let_3 _let_18 tptp.z2)))) (let ((_let_194 (tptp.meet _let_19 _let_49))) (let ((_let_195 (tptp.upme _let_115 _let_19 _let_49))) (let ((_let_196 (tptp.join _let_195 _let_194))) (let ((_let_197 (= _let_196 (tptp.meet (tptp.join (tptp.meet _let_115 _let_19) _let_49) (tptp.join (tptp.meet _let_115 _let_49) _let_19))))) (let ((_let_198 (= _let_173 (tptp.meet _let_172 _let_1)))) (let ((_let_199 (tptp.meet _let_110 _let_18))) (let ((_let_200 (= _let_199 (tptp.meet _let_18 _let_110)))) (let ((_let_201 (tptp.join (tptp.meet _let_39 _let_22) tptp.z2))) (let ((_let_202 (= (tptp.meet _let_23 (tptp.meet _let_201 _let_180)) (tptp.meet (tptp.meet _let_23 _let_201) _let_180)))) (let ((_let_203 (= (tptp.meet _let_1 _let_170) (tptp.meet _let_18 _let_169)))) (let ((_let_204 (tptp.meet _let_108 _let_18))) (let ((_let_205 (= _let_204 (tptp.meet (tptp.meet _let_108 _let_1) tptp.z3)))) (let ((_let_206 (= _let_199 (tptp.meet (tptp.meet _let_110 _let_1) tptp.z3)))) (let ((_let_207 (= (tptp.join _let_72 (tptp.join _let_71 _let_71)) (tptp.join _let_73 _let_71)))) (let ((_let_208 (= (tptp.join _let_71 _let_187) (tptp.join _let_117 _let_141)))) (let ((_let_209 (= (tptp.join _let_70 _let_117) (tptp.join (tptp.join _let_70 _let_71) _let_72)))) (let ((_let_210 (= (tptp.join _let_195 (tptp.join _let_194 _let_70)) (tptp.join _let_196 _let_70)))) (let ((_let_211 (= _let_32 (tptp.join _let_32 _let_159)))) (let ((_let_212 (= _let_32 (tptp.join _let_32 (tptp.meet _let_32 tptp.z3))))) (let ((_let_213 (= _let_195 (tptp.meet _let_115 (tptp.join _let_19 _let_49))))) (let ((_let_214 (= (tptp.join (tptp.upme _let_108 _let_18 tptp.z2) _let_84) (tptp.meet (tptp.join _let_204 tptp.z2) (tptp.join (tptp.meet _let_108 tptp.z2) _let_18))))) (let ((_let_215 (_let_8))) (let ((_let_216 (ASSUME :args _let_215))) (let ((_let_217 ((tptp.upme X Y Z)))) (let ((_let_218 (_let_7))) (let ((_let_219 (ASSUME :args _let_218))) (let ((_let_220 (_let_6))) (let ((_let_221 (ASSUME :args _let_220))) (let ((_let_222 (tptp.meet tptp.a X1))) (let ((_let_223 ((tptp.upme _let_222 Y1 W)))) (let ((_let_224 (_let_14))) (let ((_let_225 (ASSUME :args _let_224))) (let ((_let_226 ((tptp.meet X Y)))) (let ((_let_227 (_let_13))) (let ((_let_228 (ASSUME :args _let_227))) (let ((_let_229 ((tptp.meet (tptp.meet X Y) Z)))) (let ((_let_230 (_let_12))) (let ((_let_231 (ASSUME :args _let_230))) (let ((_let_232 ((tptp.join X Y)))) (let ((_let_233 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_234 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_235 (_let_233))) (let ((_let_236 ((tptp.meet X Y)))) (let ((_let_237 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_238 (EQ_RESOLVE (ASSUME 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QUANTIFIERS_INST_E_MATCHING _let_243)) :args _let_227)) _let_228 :args (_let_104 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_1 tptp.z2 tptp.z3 QUANTIFIERS_INST_E_MATCHING _let_243)) :args _let_227)) _let_228 :args (_let_102 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (tptp.z2 _let_1 tptp.z3 QUANTIFIERS_INST_E_MATCHING _let_243)) :args _let_227)) _let_228 :args (_let_101 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_1 _let_1 tptp.z3 QUANTIFIERS_INST_E_MATCHING _let_243)) :args _let_227)) _let_228 :args (_let_100 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_3 _let_22 _let_23 QUANTIFIERS_INST_E_MATCHING _let_243)) :args _let_227)) _let_228 :args (_let_98 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (tptp.z3 tptp.z2 _let_15 QUANTIFIERS_INST_E_MATCHING _let_243)) :args _let_227)) _let_228 :args (_let_96 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_77 _let_76 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_226)) :args _let_224)) _let_225 :args (_let_95 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_15 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_226)) :args _let_224)) _let_225 :args (_let_94 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_20 _let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_226)) :args _let_224)) _let_225 :args (_let_93 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (tptp.z2 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_226)) :args _let_224)) _let_225 :args (_let_92 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.z1 _let_25 _let_15 QUANTIFIERS_INST_E_MATCHING _let_242)) :args _let_220)) _let_221 :args (_let_91 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.z1 _let_18 tptp.z2 QUANTIFIERS_INST_E_MATCHING _let_242)) :args _let_220)) _let_221 :args (_let_86 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.z1 _let_15 _let_25 QUANTIFIERS_INST_E_MATCHING _let_241)) :args _let_220)) _let_221 :args (_let_82 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.z1 tptp.z2 _let_18 QUANTIFIERS_INST_E_MATCHING _let_241)) :args _let_220)) _let_221 :args (_let_74 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (_let_18 tptp.z2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_240)) :args _let_239)) _let_238 :args (_let_67 false _let_237)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (_let_19 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_240)) :args _let_239)) _let_238 :args (_let_65 false _let_237)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (_let_3 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_240)) :args _let_239)) _let_238 :args (_let_63 false _let_237)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (tptp.z2 tptp.z3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_240)) :args _let_239)) _let_238 :args (_let_61 false _let_237)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_240)) :args _let_239)) _let_238 :args (_let_59 false _let_237)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_234 :args (_let_1 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_236)) :args _let_235)) _let_234 :args (_let_56 false _let_233)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_234 :args (tptp.z2 tptp.z3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_236)) :args _let_235)) _let_234 :args (_let_54 false _let_233)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_231 :args (_let_18 tptp.z2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_232)) :args _let_230)) _let_231 :args (_let_52 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_231 :args (_let_19 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_232)) :args _let_230)) _let_231 :args (_let_50 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_231 :args (_let_19 tptp.z3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_232)) :args _let_230)) _let_231 :args (_let_48 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_231 :args (_let_3 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_232)) :args _let_230)) _let_231 :args (_let_46 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_231 :args (tptp.z2 tptp.z3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_232)) :args _let_230)) _let_231 :args (_let_45 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_228 :args (tptp.a tptp.z1 tptp.z2 QUANTIFIERS_INST_E_MATCHING _let_229)) :args _let_227))) _let_228 :args (_let_43 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_228 :args (tptp.a tptp.z1 tptp.z3 QUANTIFIERS_INST_E_MATCHING _let_229)) :args _let_227))) _let_228 :args (_let_40 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_228 :args (tptp.a tptp.z1 _let_15 QUANTIFIERS_INST_E_MATCHING _let_229)) :args _let_227))) _let_228 :args (_let_38 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_23 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_226)) :args _let_224)) _let_225 :args (_let_35 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_1 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_226)) :args _let_224)) _let_225 :args (_let_33 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_1 tptp.z2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_226)) :args _let_224)) _let_225 :args (_let_31 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (tptp.z2 tptp.z3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_226)) :args _let_224)) _let_225 :args (_let_29 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.z1 tptp.z2 tptp.z3 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_27 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_219 :args (_let_1 tptp.z2 tptp.z3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.lome X Y Z)))) :args _let_218)) _let_219 :args (_let_21 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_1 tptp.z2 tptp.z3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_17 false _let_8)) (ASSUME :args (_let_5)) :args (false false _let_214 false _let_213 false _let_212 false _let_211 false _let_210 false _let_209 false _let_208 false _let_207 false _let_206 false _let_205 false _let_203 false _let_202 false _let_200 false _let_198 false _let_197 false _let_193 false _let_192 false _let_191 false _let_190 false _let_189 false _let_188 false _let_186 false _let_185 false _let_184 false _let_183 false _let_182 false _let_181 false _let_178 false _let_177 false _let_176 false _let_175 false _let_174 false _let_171 false _let_168 false _let_166 false _let_164 false _let_163 false _let_162 false _let_161 false _let_160 false _let_158 false _let_150 false _let_149 false _let_146 false _let_145 false _let_144 false _let_143 false _let_142 false _let_140 false _let_139 false _let_138 false _let_136 false _let_134 false _let_132 false _let_130 false _let_129 false _let_127 false _let_125 false _let_123 false _let_121 false _let_120 false _let_119 false _let_118 false _let_116 false _let_113 false _let_112 false _let_109 false _let_106 false _let_104 false _let_102 false _let_101 false _let_100 false _let_98 false _let_96 false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_86 false _let_82 false _let_74 false _let_67 false _let_65 false _let_63 false _let_61 false _let_59 false _let_56 false _let_54 false _let_52 false _let_50 false _let_48 false _let_46 false _let_45 false _let_43 false _let_40 false _let_38 false _let_35 false _let_33 false _let_31 false _let_29 false _let_27 false _let_21 false _let_17 true _let_4)) :args (_let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upjo X Y Z) (tptp.meet (tptp.join X Y) (tptp.join X Z)))) (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lojo X Y X1) (tptp.join X (tptp.meet Y X1)))) _let_6 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.46/2.64  )
% 2.46/2.64  % SZS output end Proof for LAT399-2
% 2.46/2.65  % cvc5---1.0.5 exiting
% 2.46/2.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------