TSTP Solution File: LAT037-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT037-1 : TPTP v8.1.2. Released v2.4.0.
% 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 06:02:42 EDT 2023
% Result : Unsatisfiable 0.18s 0.71s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 09:50:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UaRbMPCUtf/cvc5---1.0.5_22857.p...
% 0.18/0.49 ------- get file name : TPTP file name is LAT037-1
% 0.18/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22857.smt2...
% 0.18/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.71 % SZS status Unsatisfiable for LAT037-1
% 0.18/0.71 % SZS output start Proof for LAT037-1
% 0.18/0.72 (
% 0.18/0.72 (let ((_let_1 (= tptp.yy tptp.zz))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.meet tptp.xx tptp.zz))) (let ((_let_4 (= _let_3 tptp.n0))) (let ((_let_5 (tptp.meet tptp.xx tptp.yy))) (let ((_let_6 (= _let_5 tptp.n0))) (let ((_let_7 (tptp.join tptp.xx tptp.zz))) (let ((_let_8 (= _let_7 tptp.n1))) (let ((_let_9 (tptp.join tptp.xx tptp.yy))) (let ((_let_10 (= _let_9 tptp.n1))) (let ((_let_11 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Z) X)) (= (tptp.meet Z (tptp.join X Y)) (tptp.join X (tptp.meet Y Z))))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.join Y Z)) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.meet Y Z)) (tptp.meet (tptp.join X Y) (tptp.join X Z)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_18 (= tptp.n1 _let_9))) (let ((_let_19 (= tptp.n1 _let_7))) (let ((_let_20 (= tptp.n0 _let_5))) (let ((_let_21 (= tptp.n0 _let_3))) (let ((_let_22 (= tptp.xx (tptp.meet tptp.xx _let_9)))) (let ((_let_23 (tptp.meet tptp.yy tptp.xx))) (let ((_let_24 (= _let_5 _let_23))) (let ((_let_25 (tptp.meet tptp.zz tptp.xx))) (let ((_let_26 (= _let_3 _let_25))) (let ((_let_27 (tptp.join tptp.yy tptp.xx))) (let ((_let_28 (= _let_9 _let_27))) (let ((_let_29 (tptp.join tptp.zz tptp.xx))) (let ((_let_30 (= _let_7 _let_29))) (let ((_let_31 (tptp.meet tptp.yy _let_27))) (let ((_let_32 (= tptp.yy _let_31))) (let ((_let_33 (tptp.meet tptp.zz _let_29))) (let ((_let_34 (= tptp.zz _let_33))) (let ((_let_35 (= tptp.yy (tptp.join tptp.yy _let_23)))) (let ((_let_36 (= tptp.zz (tptp.join tptp.zz _let_25)))) (let ((_let_37 (tptp.join _let_5 tptp.yy))) (let ((_let_38 (= _let_5 (tptp.meet _let_5 _let_37)))) (let ((_let_39 (tptp.meet _let_9 tptp.zz))) (let ((_let_40 (= _let_39 (tptp.meet tptp.zz _let_9)))) (let ((_let_41 (= _let_37 (tptp.join tptp.yy _let_5)))) (let ((_let_42 (tptp.join tptp.zz _let_5))) (let ((_let_43 (= (tptp.join _let_5 tptp.zz) _let_42))) (let ((_let_44 (tptp.join tptp.xx _let_27))) (let ((_let_45 (= (tptp.meet tptp.yy _let_44) (tptp.join _let_23 _let_31)))) (let ((_let_46 (tptp.join tptp.xx _let_29))) (let ((_let_47 (= (tptp.meet tptp.zz _let_46) (tptp.join _let_25 _let_33)))) (let ((_let_48 (= (tptp.meet tptp.yy _let_39) (tptp.meet _let_39 tptp.yy)))) (let ((_let_49 (tptp.join tptp.zz tptp.yy))) (let ((_let_50 (= (tptp.join tptp.zz (tptp.meet _let_5 tptp.yy)) (tptp.meet _let_42 _let_49)))) (let ((_let_51 (= (tptp.meet _let_27 (tptp.join tptp.yy tptp.zz)) (tptp.join tptp.yy (tptp.meet tptp.zz _let_27))))) (let ((_let_52 (= (tptp.meet _let_29 _let_49) (tptp.join tptp.zz (tptp.meet tptp.yy _let_29))))) (let ((_let_53 (tptp.meet tptp.zz _let_44))) (let ((_let_54 (tptp.join tptp.yy _let_53))) (let ((_let_55 (= _let_54 (tptp.join _let_53 tptp.yy)))) (let ((_let_56 (= (tptp.join tptp.yy (tptp.meet tptp.xx _let_53)) (tptp.meet _let_27 _let_54)))) (let ((_let_57 (tptp.meet tptp.yy _let_46))) (let ((_let_58 (= (tptp.join tptp.zz (tptp.meet tptp.xx _let_57)) (tptp.meet _let_29 (tptp.join tptp.zz _let_57))))) (let ((_let_59 (SYMM (ASSUME :args (_let_10))))) (let ((_let_60 (SYMM (ASSUME :args (_let_8))))) (let ((_let_61 (SYMM (ASSUME :args (_let_6))))) (let ((_let_62 (SYMM (ASSUME :args (_let_4))))) (let ((_let_63 (ASSUME :args (_let_2)))) (let ((_let_64 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((tptp.join X Y)))) (let ((_let_68 (_let_15))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.meet X Y)))) (let ((_let_71 (_let_14))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((tptp.join X Y)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.yy tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_32 false _let_64)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.zz tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_34 false _let_64)))) (let ((_let_76 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((tptp.meet X Y)))) (let ((_let_80 (_let_12))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((tptp.join (tptp.meet X Y) (tptp.meet X Z))))) (let ((_let_83 (_let_13))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (not _let_32))) (let ((_let_86 (or _let_85 _let_51))) (let ((_let_87 (forall ((X $$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_88 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 ((tptp.meet X Z) (tptp.meet Y Z)))) (let ((_let_91 (not _let_34))) (let ((_let_92 (or _let_91 _let_52))) (let ((_let_93 ((tptp.meet (tptp.join X Y) (tptp.join X Z))))) (let ((_let_94 (= tptp.yy (tptp.meet tptp.yy (tptp.meet tptp.zz tptp.yy))))) (let ((_let_95 (not _let_94))) (let ((_let_96 (APPLY_UF tptp.meet))) (let ((_let_97 (ASSUME :args (_let_35)))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (SYMM _let_98))) (let ((_let_100 (SYMM _let_99))) (let ((_let_101 (APPLY_UF tptp.join))) (let ((_let_102 (ASSUME :args (_let_24)))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 (SYMM _let_103))) (let ((_let_105 (REFL :args (tptp.yy)))) (let ((_let_106 (CONG _let_105 _let_104 :args _let_101))) (let ((_let_107 (ASSUME :args (_let_41)))) (let ((_let_108 (SYMM _let_107))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (TRANS _let_109 _let_106 _let_100))) (let ((_let_111 (REFL :args (tptp.zz)))) (let ((_let_112 (ASSUME :args (_let_34)))) (let ((_let_113 (SYMM _let_112))) (let ((_let_114 (ASSUME :args (_let_30)))) (let ((_let_115 (SYMM _let_114))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (SYMM _let_60))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (SYMM _let_59))) (let ((_let_120 (SYMM _let_119))) (let ((_let_121 (SYMM _let_120))) (let ((_let_122 (CONG _let_111 (TRANS _let_121 _let_118 _let_116) :args _let_96))) (let ((_let_123 (ASSUME :args (_let_40)))) (let ((_let_124 (SYMM _let_123))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (TRANS _let_125 _let_122 _let_113))) (let ((_let_127 (CONG _let_126 (SYMM _let_110) :args _let_96))) (let ((_let_128 (ASSUME :args (_let_48)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (CONG _let_105 (SYMM _let_126) :args _let_96))) (let ((_let_132 (SYMM _let_127))) (let ((_let_133 (SYMM _let_106))) (let ((_let_134 (SYMM _let_61))) (let ((_let_135 (SYMM _let_62))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (ASSUME :args (_let_22)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (ASSUME :args (_let_36)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (ASSUME :args (_let_26)))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (TRANS _let_134 _let_136 _let_143))) (let ((_let_145 (CONG _let_111 _let_144 :args _let_101))) (let ((_let_146 (ASSUME :args (_let_43)))) (let ((_let_147 (SYMM _let_146))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (CONG (SYMM _let_144) _let_113 :args _let_101))) (let ((_let_150 (ASSUME :args (_let_47)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (ASSUME :args (_let_28)))) (let ((_let_154 (SYMM (SYMM _let_153)))) (let ((_let_155 (TRANS (SYMM _let_154) _let_121 _let_118 _let_116))) (let ((_let_156 (REFL :args (tptp.xx)))) (let ((_let_157 (CONG _let_156 _let_155 :args _let_101))) (let ((_let_158 (CONG _let_111 _let_157 :args _let_96))) (let ((_let_159 (TRANS _let_158 _let_152 _let_149 _let_148 _let_145 _let_140))) (let ((_let_160 (CONG _let_105 (TRANS (CONG _let_137 _let_159 :args _let_96) (CONG _let_138 _let_111 :args _let_96) (SYMM _let_136) (SYMM _let_134) _let_104) :args _let_101))) (let ((_let_161 (ASSUME :args (_let_56)))) (let ((_let_162 (SYMM (SYMM _let_161)))) (let ((_let_163 (SYMM _let_159))) (let ((_let_164 (REFL :args (_let_27)))) (let ((_let_165 (CONG _let_164 (CONG _let_105 _let_163 :args _let_101) :args _let_96))) (let ((_let_166 (ASSUME :args (_let_51)))) (let ((_let_167 (SYMM (SYMM _let_166)))) (let ((_let_168 (CONG _let_105 (TRANS _let_158 _let_152 _let_149 _let_148 _let_145 _let_140 _let_112 (CONG _let_111 (SYMM _let_155) :args _let_96)) :args _let_101))) (let ((_let_169 (ASSUME :args (_let_55)))) (let ((_let_170 (SYMM (SYMM _let_169)))) (let ((_let_171 (ASSUME :args (_let_32)))) (let ((_let_172 (CONG _let_103 (SYMM _let_171) :args _let_101))) (let ((_let_173 (ASSUME :args (_let_45)))) (let ((_let_174 (SYMM (SYMM _let_173)))) (let ((_let_175 (CONG _let_105 (SYMM _let_157) :args _let_96))) (let ((_let_176 (TRANS _let_175 _let_174 _let_172 _let_109 _let_106 _let_100))) (let ((_let_177 (CONG _let_163 _let_176 :args _let_101))) (let ((_let_178 (CONG _let_111 (SYMM _let_176) :args _let_101))) (let ((_let_179 (ASSUME :args (_let_38)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (CONG _let_103 _let_105 :args _let_101))) (let ((_let_182 (REFL :args (_let_5)))) (let ((_let_183 (CONG _let_182 _let_181 :args _let_96))) (let ((_let_184 (SYMM _let_181))) (let ((_let_185 (CONG _let_111 (TRANS (CONG _let_182 (TRANS _let_99 _let_133 _let_108 _let_184) :args _let_96) _let_183 _let_180 _let_134 _let_136 _let_143) :args _let_101))) (let ((_let_186 (ASSUME :args (_let_50)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (TRANS _let_187 _let_185 _let_140))) (let ((_let_189 (CONG _let_188 (TRANS _let_178 _let_177 (SYMM _let_170) _let_168 (SYMM _let_167) _let_165 (SYMM _let_162) _let_160 _let_133 _let_108) :args _let_96))) (let ((_let_190 (REFL :args (_let_49)))) (let ((_let_191 (CONG (TRANS (TRANS _let_145 _let_140) (SYMM _let_188)) _let_190 :args _let_96))) (let ((_let_192 (SYMM _let_185))) (let ((_let_193 (ASSUME :args (_let_58)))) (let ((_let_194 (ASSUME :args (_let_52)))) (let ((_let_195 (CONG _let_105 _let_103 :args _let_101))) (let ((_let_196 (CONG _let_111 (TRANS (CONG _let_182 (TRANS _let_99 _let_195 _let_108 _let_184) :args _let_96) _let_183 _let_180 _let_134 _let_136 _let_143) :args _let_101))) (let ((_let_197 (TRANS _let_142 _let_135 _let_61))) (let ((_let_198 (CONG _let_111 _let_197 :args _let_101))) (let ((_let_199 (TRANS _let_187 _let_196 _let_140))) (let ((_let_200 (CONG (TRANS _let_199 (TRANS _let_139 _let_198)) _let_190 :args _let_96))) (let ((_let_201 (SYMM _let_195))) (let ((_let_202 (TRANS _let_115 _let_117 _let_120 _let_154))) (let ((_let_203 (CONG _let_156 _let_202 :args _let_101))) (let ((_let_204 (TRANS (CONG _let_105 _let_203 :args _let_96) _let_174 _let_172 _let_107 _let_201 _let_98))) (let ((_let_205 (CONG _let_197 _let_113 :args _let_101))) (let ((_let_206 (CONG _let_111 (SYMM _let_203) :args _let_96))) (let ((_let_207 (TRANS _let_206 _let_152 _let_205 _let_148 (SYMM _let_198) _let_140))) (let ((_let_208 (CONG (SYMM _let_199) (TRANS _let_107 _let_201 (CONG _let_105 (TRANS _let_103 _let_134 _let_136 (CONG _let_137 _let_111 :args _let_96) (CONG _let_138 (SYMM _let_207) :args _let_96)) :args _let_101) _let_162 (CONG _let_164 (CONG _let_105 _let_207 :args _let_101) :args _let_96) _let_167 (CONG _let_105 (TRANS (CONG _let_111 (SYMM _let_202) :args _let_96) _let_113 _let_139 _let_198 _let_147 (SYMM _let_205) _let_151 (SYMM _let_206)) :args _let_101) _let_170 (CONG _let_207 (SYMM _let_204) :args _let_101) (CONG _let_111 _let_204 :args _let_101)) :args _let_96))) (let ((_let_209 (TRANS _let_99 _let_195 _let_108))) (let ((_let_210 (CONG _let_111 (TRANS _let_119 _let_60 _let_114) :args _let_96))) (let ((_let_211 (TRANS _let_125 _let_210 _let_113))) (let ((_let_212 (CONG _let_211 _let_209 :args _let_96))) (let ((_let_213 (CONG _let_105 (SYMM _let_211) :args _let_96))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_63 _let_139 _let_141 _let_62 _let_61 _let_179 _let_102 _let_107 _let_97 _let_186 _let_171 _let_173 _let_153 _let_59 _let_60 _let_114 _let_146 _let_112 _let_150 _let_169 _let_166 _let_161 _let_137 _let_123 _let_128) (SCOPE (FALSE_ELIM (TRANS (CONG _let_105 (TRANS (CONG _let_105 (TRANS (CONG _let_111 _let_209 :args _let_96) (SYMM _let_212) _let_129 (SYMM _let_213)) :args _let_96) (CONG _let_105 (TRANS _let_213 _let_130 _let_212 _let_208 _let_200 _let_187 _let_196 _let_140 _let_112 (SYMM _let_210) _let_124) :args _let_96) _let_130 _let_212 _let_208 _let_200 _let_187 _let_196 _let_140) :args (=)) (FALSE_INTRO _let_63))) :args (_let_2 _let_36 _let_26 _let_21 _let_20 _let_38 _let_24 _let_41 _let_35 _let_50 _let_32 _let_45 _let_28 _let_18 _let_19 _let_30 _let_43 _let_34 _let_47 _let_55 _let_51 _let_56 _let_22 _let_40 _let_48))) (MODUS_PONENS (AND_INTRO _let_97 _let_102 _let_107 _let_112 _let_114 _let_60 _let_59 _let_123 _let_128 _let_139 _let_141 _let_62 _let_61 _let_179 _let_186 _let_137 _let_146 _let_150 _let_153 _let_161 _let_166 _let_169 _let_171 _let_173 _let_193 _let_194) (SCOPE (TRANS _let_99 (SYMM _let_160) _let_162 (SYMM _let_165) _let_167 (SYMM _let_168) _let_170 (SYMM _let_177) (CONG _let_111 (TRANS _let_175 _let_174 _let_172 _let_109 _let_106 _let_100 _let_171 (CONG _let_105 _let_155 :args _let_96)) :args _let_101) (SYMM _let_194) (CONG (REFL :args (_let_29)) _let_178 :args _let_96) (SYMM _let_193) (CONG _let_111 (TRANS (CONG _let_137 _let_176 :args _let_96) (CONG _let_138 _let_105 :args _let_96) _let_134 _let_136 _let_143) :args _let_101) _let_192 _let_186 _let_191 _let_189 _let_132 _let_129 (CONG _let_105 (TRANS _let_125 _let_122 _let_113 _let_139 _let_192 _let_186 _let_191 _let_189 _let_132 _let_129 (SYMM _let_131)) :args _let_96) (CONG _let_105 (TRANS _let_131 _let_130 _let_127 (CONG _let_111 _let_110 :args _let_96)) :args _let_96)) :args (_let_35 _let_24 _let_41 _let_34 _let_30 _let_19 _let_18 _let_40 _let_48 _let_36 _let_26 _let_21 _let_20 _let_38 _let_50 _let_22 _let_43 _let_47 _let_28 _let_56 _let_51 _let_55 _let_32 _let_45 _let_58 _let_52)))) :args (_let_2 _let_18 _let_19 _let_20 _let_21 _let_22 _let_24 _let_26 _let_28 _let_30 _let_32 _let_34 _let_35 _let_36 _let_38 _let_40 _let_41 _let_43 _let_45 _let_47 _let_48 _let_50 _let_51 _let_52 _let_55 _let_56 _let_58)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_95)))) (TRUE_INTRO (ASSUME :args (_let_94))))) :args (_let_95 _let_94)) :args ((not (and _let_2 _let_18 _let_19 _let_20 _let_21 _let_22 _let_24 _let_26 _let_28 _let_30 _let_32 _let_34 _let_35 _let_36 _let_38 _let_40 _let_41 _let_43 _let_45 _let_47 _let_48 _let_50 _let_51 _let_52 _let_55 _let_56 _let_58)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_18))) (REFL :args ((not _let_19))) (REFL :args ((not _let_20))) (REFL :args ((not _let_21))) (REFL :args ((not _let_22))) (REFL :args ((not _let_24))) (REFL :args ((not _let_26))) (REFL :args ((not _let_28))) (REFL :args ((not _let_30))) (REFL :args (_let_85)) (REFL :args (_let_91)) (REFL :args ((not _let_35))) (REFL :args ((not _let_36))) (REFL :args ((not _let_38))) (REFL :args ((not _let_40))) (REFL :args ((not _let_41))) (REFL :args ((not _let_43))) (REFL :args ((not _let_45))) (REFL :args ((not _let_47))) (REFL :args ((not _let_48))) (REFL :args ((not _let_50))) (REFL :args ((not _let_51))) (REFL :args ((not _let_52))) (REFL :args ((not _let_55))) (REFL :args ((not _let_56))) (REFL :args ((not _let_58))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.zz tptp.xx _let_57 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_83)) _let_84 :args (_let_58 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.yy tptp.xx _let_53 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_83)) _let_84 :args (_let_56 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.yy _let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_55 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_52 (not _let_92)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.zz _let_29 tptp.yy QUANTIFIERS_INST_E_MATCHING _let_90)) :args _let_89)) _let_88 :args (_let_92 false _let_87)) :args (_let_52 false _let_34 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_51 (not _let_86)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.yy _let_27 tptp.zz QUANTIFIERS_INST_E_MATCHING _let_90)) :args _let_89)) _let_88 :args (_let_86 false _let_87)) :args (_let_51 false _let_32 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.zz _let_5 tptp.yy QUANTIFIERS_INST_E_MATCHING ((tptp.join X (tptp.meet Y Z))))) :args _let_83)) _let_84 :args (_let_50 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.yy _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_48 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.zz tptp.xx _let_29 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_47 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.yy tptp.xx _let_27 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_45 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_5 tptp.zz QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_43 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_5 tptp.yy QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_41 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_9 tptp.zz QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_40 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_5 tptp.yy QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_38 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.zz tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_36 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.yy tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_35 false _let_76)) _let_75 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.xx tptp.zz QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_30 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.xx tptp.yy QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_28 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.xx tptp.zz QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_26 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.xx tptp.yy QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_24 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.xx tptp.yy QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_22 false _let_64)) _let_63 _let_62 _let_61 _let_60 _let_59 :args (false false _let_58 false _let_56 false _let_55 false _let_52 false _let_51 false _let_50 false _let_48 false _let_47 false _let_45 false _let_43 false _let_41 false _let_40 false _let_38 false _let_36 false _let_35 false _let_34 false _let_32 false _let_30 false _let_28 false _let_26 false _let_24 false _let_22 true _let_1 false _let_21 false _let_20 false _let_19 false _let_18)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= (tptp.join X X) X)) _let_17 _let_16 _let_15 _let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) _let_13 _let_12 (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_11 _let_10 _let_8 _let_6 _let_4 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.72 )
% 0.18/0.72 % SZS output end Proof for LAT037-1
% 0.18/0.72 % cvc5---1.0.5 exiting
% 0.18/0.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------