TSTP Solution File: LAT154-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT154-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 06:03:02 EDT 2023
% Result : Unsatisfiable 1.49s 1.66s
% Output : Proof 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT154-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.16/0.35 % Computer : n011.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu Aug 24 05:24:37 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.E53S5hfz80/cvc5---1.0.5_27396.p...
% 0.21/0.49 ------- get file name : TPTP file name is LAT154-1
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27396.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.49/1.66 % SZS status Unsatisfiable for LAT154-1
% 1.49/1.66 % SZS output start Proof for LAT154-1
% 1.49/1.67 (
% 1.49/1.67 (let ((_let_1 (tptp.join tptp.a tptp.b))) (let ((_let_2 (tptp.meet tptp.c _let_1))) (let ((_let_3 (tptp.meet tptp.a tptp.c))) (let ((_let_4 (tptp.join tptp.b _let_3))) (let ((_let_5 (tptp.meet tptp.a _let_4))) (let ((_let_6 (tptp.join _let_5 _let_2))) (let ((_let_7 (tptp.meet tptp.a _let_6))) (let ((_let_8 (= _let_5 _let_7))) (let ((_let_9 (not _let_8))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join X U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y (tptp.join U (tptp.meet X Z)))))))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_17 (forall ((X $$unsorted)) (= (tptp.join X X) X)))) (let ((_let_18 (tptp.meet tptp.a _let_1))) (let ((_let_19 (= tptp.a _let_18))) (let ((_let_20 (tptp.meet tptp.b _let_4))) (let ((_let_21 (= tptp.b _let_20))) (let ((_let_22 (tptp.meet _let_5 _let_6))) (let ((_let_23 (= _let_5 _let_22))) (let ((_let_24 (tptp.join tptp.a _let_3))) (let ((_let_25 (= tptp.a _let_24))) (let ((_let_26 (tptp.join tptp.a _let_5))) (let ((_let_27 (= tptp.a _let_26))) (let ((_let_28 (tptp.join tptp.a _let_7))) (let ((_let_29 (= tptp.a _let_28))) (let ((_let_30 (= tptp.c (tptp.join tptp.c _let_2)))) (let ((_let_31 (tptp.meet tptp.c tptp.a))) (let ((_let_32 (= _let_3 _let_31))) (let ((_let_33 (tptp.meet _let_4 tptp.a))) (let ((_let_34 (= _let_5 _let_33))) (let ((_let_35 (= _let_7 (tptp.meet _let_6 tptp.a)))) (let ((_let_36 (tptp.meet _let_1 tptp.c))) (let ((_let_37 (= _let_2 _let_36))) (let ((_let_38 (tptp.join tptp.b tptp.a))) (let ((_let_39 (= _let_1 _let_38))) (let ((_let_40 (tptp.join _let_3 tptp.b))) (let ((_let_41 (= _let_4 _let_40))) (let ((_let_42 (= _let_6 (tptp.join _let_2 _let_5)))) (let ((_let_43 (= tptp.a (tptp.meet tptp.a _let_24)))) (let ((_let_44 (= tptp.b (tptp.meet tptp.b _let_38)))) (let ((_let_45 (tptp.meet _let_3 _let_40))) (let ((_let_46 (= _let_3 _let_45))) (let ((_let_47 (= tptp.a (tptp.join tptp.a _let_18)))) (let ((_let_48 (tptp.join tptp.b _let_20))) (let ((_let_49 (= tptp.b _let_48))) (let ((_let_50 (= tptp.c (tptp.join tptp.c _let_31)))) (let ((_let_51 (tptp.join _let_4 _let_33))) (let ((_let_52 (= _let_4 _let_51))) (let ((_let_53 (= _let_5 (tptp.join _let_5 _let_22)))) (let ((_let_54 (= _let_1 (tptp.join _let_1 _let_36)))) (let ((_let_55 (tptp.join _let_5 _let_4))) (let ((_let_56 (= (tptp.meet tptp.c _let_55) (tptp.meet _let_55 tptp.c)))) (let ((_let_57 (tptp.join _let_5 tptp.a))) (let ((_let_58 (= _let_26 _let_57))) (let ((_let_59 (= _let_55 (tptp.join _let_4 _let_5)))) (let ((_let_60 (tptp.meet tptp.a _let_36))) (let ((_let_61 (= (tptp.meet _let_18 tptp.c) _let_60))) (let ((_let_62 (tptp.meet _let_1 _let_6))) (let ((_let_63 (tptp.meet tptp.a _let_62))) (let ((_let_64 (= (tptp.meet _let_18 _let_6) _let_63))) (let ((_let_65 (tptp.meet _let_33 _let_1))) (let ((_let_66 (= _let_65 (tptp.meet _let_4 _let_18)))) (let ((_let_67 (tptp.join _let_7 tptp.b))) (let ((_let_68 (= (tptp.join _let_28 tptp.b) (tptp.join tptp.a _let_67)))) (let ((_let_69 (tptp.join _let_7 _let_5))) (let ((_let_70 (= (tptp.join _let_28 _let_5) (tptp.join tptp.a _let_69)))) (let ((_let_71 (tptp.join _let_7 _let_7))) (let ((_let_72 (tptp.join tptp.a _let_71))) (let ((_let_73 (= (tptp.join _let_28 _let_7) _let_72))) (let ((_let_74 (tptp.join tptp.b _let_28))) (let ((_let_75 (= (tptp.join _let_38 _let_7) _let_74))) (let ((_let_76 (tptp.join _let_2 (tptp.meet _let_5 tptp.a)))) (let ((_let_77 (tptp.meet tptp.a (tptp.join tptp.a _let_76)))) (let ((_let_78 (tptp.join tptp.a _let_77))) (let ((_let_79 (= (tptp.meet _let_5 _let_28) (tptp.meet _let_5 _let_78)))) (let ((_let_80 (tptp.meet tptp.a tptp.a))) (let ((_let_81 (tptp.join tptp.b (tptp.join tptp.b _let_80)))) (let ((_let_82 (tptp.meet tptp.a _let_81))) (let ((_let_83 (= (tptp.meet tptp.a (tptp.join tptp.b _let_18)) (tptp.meet tptp.a (tptp.join tptp.b _let_82))))) (let ((_let_84 (tptp.join _let_3 (tptp.meet tptp.b (tptp.join _let_3 (tptp.join _let_3 (tptp.meet tptp.b tptp.b))))))) (let ((_let_85 (tptp.meet tptp.b _let_84))) (let ((_let_86 (= (tptp.meet tptp.b (tptp.join _let_3 _let_20)) _let_85))) (let ((_let_87 (tptp.meet _let_6 _let_74))) (let ((_let_88 (tptp.join tptp.b _let_87))) (let ((_let_89 (tptp.meet tptp.a _let_88))) (let ((_let_90 (tptp.meet _let_6 (tptp.join tptp.a tptp.a)))) (let ((_let_91 (tptp.join tptp.b _let_90))) (let ((_let_92 (tptp.meet tptp.a _let_91))) (let ((_let_93 (= _let_92 _let_89))) (let ((_let_94 (tptp.join _let_2 _let_2))) (let ((_let_95 (= _let_2 _let_94))) (let ((_let_96 (= tptp.a _let_77))) (let ((_let_97 (= _let_5 (tptp.meet _let_5 _let_57)))) (let ((_let_98 (tptp.meet _let_7 _let_67))) (let ((_let_99 (= _let_7 _let_98))) (let ((_let_100 (= _let_3 (tptp.join _let_3 _let_45)))) (let ((_let_101 (tptp.meet _let_5 tptp.c))) (let ((_let_102 (= _let_5 (tptp.join _let_5 _let_101)))) (let ((_let_103 (tptp.meet _let_36 tptp.a))) (let ((_let_104 (= _let_60 _let_103))) (let ((_let_105 (tptp.meet _let_62 tptp.a))) (let ((_let_106 (= _let_63 _let_105))) (let ((_let_107 (tptp.meet _let_91 tptp.a))) (let ((_let_108 (= _let_92 _let_107))) (let ((_let_109 (= _let_89 (tptp.meet _let_88 tptp.a)))) (let ((_let_110 (= _let_85 (tptp.meet _let_84 tptp.b)))) (let ((_let_111 (tptp.join _let_5 (tptp.meet tptp.a (tptp.join _let_5 (tptp.join tptp.b _let_31)))))) (let ((_let_112 (= (tptp.meet tptp.c _let_111) (tptp.meet _let_111 tptp.c)))) (let ((_let_113 (tptp.meet _let_1 _let_33))) (let ((_let_114 (= _let_65 _let_113))) (let ((_let_115 (= _let_62 (tptp.meet _let_6 _let_1)))) (let ((_let_116 (= _let_91 (tptp.join _let_90 tptp.b)))) (let ((_let_117 (= _let_88 (tptp.join _let_87 tptp.b)))) (let ((_let_118 (tptp.join tptp.b _let_5))) (let ((_let_119 (= (tptp.join _let_5 tptp.b) _let_118))) (let ((_let_120 (tptp.join _let_2 _let_31))) (let ((_let_121 (= _let_120 (tptp.join _let_31 _let_2)))) (let ((_let_122 (= _let_45 (tptp.meet tptp.a (tptp.meet tptp.c _let_40))))) (let ((_let_123 (= _let_101 (tptp.meet tptp.a (tptp.meet _let_4 tptp.c))))) (let ((_let_124 (= (tptp.join _let_48 _let_3) (tptp.join tptp.b (tptp.join _let_20 _let_3))))) (let ((_let_125 (= (tptp.join _let_48 tptp.a) (tptp.join tptp.b (tptp.join _let_20 tptp.a))))) (let ((_let_126 (tptp.join _let_3 _let_33))) (let ((_let_127 (= _let_51 (tptp.join tptp.b _let_126)))) (let ((_let_128 (= (tptp.join _let_72 _let_69) (tptp.join tptp.a (tptp.join _let_71 _let_69))))) (let ((_let_129 (tptp.join _let_76 _let_80))) (let ((_let_130 (tptp.meet tptp.a (tptp.join tptp.a _let_129)))) (let ((_let_131 (tptp.join tptp.a _let_130))) (let ((_let_132 (tptp.meet tptp.a _let_131))) (let ((_let_133 (= (tptp.meet tptp.a _let_78) _let_132))) (let ((_let_134 (= (tptp.meet tptp.b (tptp.join tptp.a (tptp.meet _let_84 (tptp.join tptp.b tptp.b)))) (tptp.meet tptp.b (tptp.join tptp.a (tptp.meet _let_84 (tptp.join tptp.a (tptp.join tptp.b _let_85)))))))) (let ((_let_135 (= (tptp.meet tptp.b (tptp.join tptp.a (tptp.meet _let_84 (tptp.join tptp.b _let_7)))) (tptp.meet tptp.b (tptp.join tptp.a (tptp.meet _let_84 (tptp.join tptp.a (tptp.join _let_7 _let_85)))))))) (let ((_let_136 (= tptp.a _let_130))) (let ((_let_137 (= _let_1 (tptp.join _let_1 _let_113)))) (let ((_let_138 (= _let_36 (tptp.join _let_36 _let_103)))) (let ((_let_139 (= _let_62 (tptp.join _let_62 _let_105)))) (let ((_let_140 (tptp.meet _let_67 _let_7))) (let ((_let_141 (= _let_98 _let_140))) (let ((_let_142 (= _let_126 (tptp.join _let_33 _let_3)))) (let ((_let_143 (tptp.join _let_76 _let_38))) (let ((_let_144 (= (tptp.join _let_38 _let_76) _let_143))) (let ((_let_145 (= (tptp.meet _let_107 _let_131) (tptp.meet _let_91 _let_132)))) (let ((_let_146 (tptp.join _let_94 (tptp.meet tptp.c _let_5)))) (let ((_let_147 (= (tptp.join _let_4 _let_146) (tptp.join tptp.b (tptp.join _let_3 _let_146))))) (let ((_let_148 (= (tptp.join (tptp.join _let_38 _let_5) _let_2) (tptp.join _let_38 _let_6)))) (let ((_let_149 (= (tptp.join _let_118 _let_2) (tptp.join tptp.b _let_6)))) (let ((_let_150 (= (tptp.meet tptp.a (tptp.join tptp.b _let_2)) (tptp.meet tptp.a (tptp.join tptp.b (tptp.meet tptp.c (tptp.join tptp.b _let_4))))))) (let ((_let_151 (= (tptp.meet tptp.a (tptp.join tptp.b (tptp.meet tptp.c _let_24))) (tptp.meet tptp.a (tptp.join tptp.b (tptp.meet tptp.c (tptp.join tptp.b (tptp.join _let_3 _let_3)))))))) (let ((_let_152 (= _let_76 (tptp.meet _let_76 _let_143)))) (let ((_let_153 (= _let_140 (tptp.meet (tptp.meet _let_67 tptp.a) _let_6)))) (let ((_let_154 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_156 (_let_154))) (let ((_let_157 ((tptp.join X Y)))) (let ((_let_158 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_159 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_160 (_let_158))) (let ((_let_161 ((tptp.meet X Y)))) (let ((_let_162 (_let_14))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 ((tptp.meet X Y)))) (let ((_let_165 (_let_13))) (let ((_let_166 (ASSUME :args _let_165))) (let ((_let_167 ((tptp.join X Y)))) (let ((_let_168 (_let_12))) (let ((_let_169 (ASSUME :args _let_168))) (let ((_let_170 ((tptp.meet (tptp.meet X Y) Z)))) (let ((_let_171 ((tptp.meet X (tptp.meet Y Z))))) (let ((_let_172 (_let_11))) (let ((_let_173 (ASSUME :args _let_172))) (let ((_let_174 ((tptp.join (tptp.join X Y) Z)))) (let ((_let_175 ((tptp.join X (tptp.join Y Z))))) (let ((_let_176 (_let_10))) (let ((_let_177 (ASSUME :args _let_176))) (let ((_let_178 ((tptp.join Y (tptp.meet Z (tptp.join X U)))))) (let ((_let_179 ((tptp.join Y (tptp.join U (tptp.meet X Z)))))) (let ((_let_180 (forall ((X $$unsorted)) (= X (tptp.join X X))))) (let ((_let_181 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (and _let_19 _let_21 _let_23 _let_25 _let_27 _let_29 _let_30 _let_32 _let_34 _let_35 _let_37 _let_39 _let_41 _let_42 _let_43 _let_44 _let_46 _let_47 _let_49 _let_50 _let_52 _let_53 _let_54 _let_56 _let_58 _let_59 _let_61 _let_64 _let_66 _let_68 _let_70 _let_73 _let_75 _let_79 _let_83 _let_86 _let_93 _let_95 _let_96 _let_97 _let_99 _let_100 _let_102 _let_104 _let_106 _let_108 _let_109 _let_110 _let_112 _let_114 _let_115 _let_116 _let_117 _let_119 _let_121 _let_122 _let_123 _let_124 _let_125 _let_127 _let_128 _let_133 _let_134 _let_135 _let_136 _let_137 _let_138 _let_139 _let_141 _let_142 _let_144 _let_145 _let_147 _let_148 _let_149 _let_150 _let_151 _let_152 _let_153))) (let ((_let_183 (ASSUME :args (_let_99)))) (let ((_let_184 (ASSUME :args (_let_141)))) (let ((_let_185 (ASSUME :args (_let_153)))) (let ((_let_186 (APPLY_UF tptp.meet))) (let ((_let_187 (REFL :args (_let_6)))) (let ((_let_188 (REFL :args (tptp.a)))) (let ((_let_189 (APPLY_UF tptp.join))) (let ((_let_190 (REFL :args (tptp.b)))) (let ((_let_191 (ASSUME :args (_let_35)))) (let ((_let_192 (ASSUME :args (_let_47)))) (let ((_let_193 (SYMM _let_192))) (let ((_let_194 (ASSUME :args (_let_19)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 (ASSUME :args (_let_116)))) (let ((_let_198 (ASSUME :args (_let_43)))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (ASSUME :args (_let_25)))) (let ((_let_201 (SYMM (SYMM _let_200)))) (let ((_let_202 (ASSUME :args (_let_96)))) (let ((_let_203 (ASSUME :args (_let_29)))) (let ((_let_204 (SYMM _let_203))) (let ((_let_205 (REFL :args (_let_7)))) (let ((_let_206 (ASSUME :args (_let_73)))) (let ((_let_207 (TRANS (SYMM _let_206) (CONG _let_204 _let_205 :args _let_189) _let_204))) (let ((_let_208 (ASSUME :args (_let_133)))) (let ((_let_209 (CONG (REFL :args (_let_91)) (TRANS (SYMM _let_208) (CONG _let_188 (TRANS (CONG (SYMM _let_207) (REFL :args (_let_77)) :args _let_189) (CONG _let_207 (TRANS (SYMM _let_202) _let_196) :args _let_189) _let_193 _let_201) :args _let_186) _let_199) :args _let_186))) (let ((_let_210 (ASSUME :args (_let_145)))) (let ((_let_211 (SYMM _let_210))) (let ((_let_212 (ASSUME :args (_let_108)))) (let ((_let_213 (SYMM (SYMM _let_212)))) (let ((_let_214 (ASSUME :args (_let_93)))) (let ((_let_215 (SYMM _let_214))) (let ((_let_216 (ASSUME :args (_let_109)))) (let ((_let_217 (TRANS (SYMM _let_216) _let_215 _let_213))) (let ((_let_218 (CONG 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(ASSUME :args (_let_21)))) (let ((_let_233 (SYMM _let_232))) (let ((_let_234 (ASSUME :args (_let_41)))) (let ((_let_235 (SYMM _let_234))) (let ((_let_236 (REFL :args (_let_3)))) (let ((_let_237 (CONG _let_190 (TRANS (CONG _let_236 _let_233 :args _let_189) _let_235) :args _let_186))) (let ((_let_238 (ASSUME :args (_let_86)))) (let ((_let_239 (SYMM _let_238))) (let ((_let_240 (ASSUME :args (_let_110)))) (let ((_let_241 (ASSUME :args (_let_49)))) (let ((_let_242 (SYMM _let_241))) (let ((_let_243 (REFL :args (_let_84)))) (let ((_let_244 (ASSUME :args (_let_134)))) (let ((_let_245 (ASSUME :args (_let_68)))) (let ((_let_246 (ASSUME :args (_let_135)))) (let ((_let_247 (CONG (REFL :args (_let_87)) (TRANS (SYMM (SYMM _let_246)) (CONG _let_190 (CONG _let_188 (TRANS (CONG _let_243 (TRANS (CONG _let_188 (CONG _let_205 (TRANS _let_239 _let_237 _let_233) :args _let_189) :args _let_189) (SYMM _let_245) (CONG _let_204 _let_190 :args _let_189) _let_226) :args _let_186) (CONG _let_243 (TRANS _let_227 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(SCOPE (INSTANTIATE _let_177 :args (tptp.a tptp.a tptp.a _let_76 QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_176)) _let_177 :args (_let_133 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (tptp.a _let_71 _let_69 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_172)) _let_173 :args (_let_128 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (tptp.b _let_3 _let_33 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_172)) _let_173 :args (_let_127 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (tptp.b _let_20 tptp.a QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_172)) _let_173 :args (_let_125 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (tptp.b _let_20 _let_3 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_172)) _let_173 :args (_let_124 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.a _let_4 tptp.c QUANTIFIERS_INST_E_MATCHING _let_170)) :args _let_168)) _let_169 :args (_let_123 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.a tptp.c _let_40 QUANTIFIERS_INST_E_MATCHING _let_170)) :args _let_168)) _let_169 :args (_let_122 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_2 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_165)) _let_166 :args (_let_121 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_5 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_165)) _let_166 :args (_let_119 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.b _let_87 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_165)) _let_166 :args (_let_117 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.b _let_90 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_165)) _let_166 :args (_let_116 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_1 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_115 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_33 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_114 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.c _let_111 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_112 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.b _let_84 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_110 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.a _let_88 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_109 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.a _let_91 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_108 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.a _let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_106 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.a _let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_104 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_5 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_102 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_3 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_100 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_7 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_99 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_5 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_97 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.a _let_76 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_96 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X X)))) :args (_let_180))) _let_181 :args (_let_95 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (tptp.a tptp.b _let_6 tptp.a QUANTIFIERS_INST_E_MATCHING _let_179)) :args _let_176)) _let_177 :args (_let_93 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (tptp.b _let_3 tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_176)) _let_177 :args (_let_86 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (tptp.a tptp.b tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_176)) _let_177 :args (_let_83 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_5 tptp.a tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_176)) _let_177 :args (_let_79 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (tptp.b tptp.a _let_7 QUANTIFIERS_INST_E_MATCHING _let_175)) :args _let_172)) _let_173 :args (_let_75 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (tptp.a _let_7 _let_7 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_172)) _let_173 :args (_let_73 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (tptp.a _let_7 _let_5 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_172)) _let_173 :args (_let_70 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (tptp.a _let_7 tptp.b QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_172)) _let_173 :args (_let_68 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (_let_4 tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_171)) :args _let_168)) _let_169 :args (_let_66 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.a _let_1 _let_6 QUANTIFIERS_INST_E_MATCHING _let_170)) :args _let_168)) _let_169 :args (_let_64 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.a _let_1 tptp.c QUANTIFIERS_INST_E_MATCHING _let_170)) :args _let_168)) _let_169 :args (_let_61 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_5 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_165)) _let_166 :args (_let_59 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_165)) _let_166 :args (_let_58 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.c _let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_56 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_1 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_54 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_5 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_53 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_4 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_52 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_50 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.b _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_49 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_47 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_3 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_46 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_44 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_43 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_5 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_165)) _let_166 :args (_let_42 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_165)) _let_166 :args (_let_41 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_165)) _let_166 :args (_let_39 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.c _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_37 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.a _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_35 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.a _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_34 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_32 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.c _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_30 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.a _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_29 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.a _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_27 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_25 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_5 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_23 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_21 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_19 false _let_154)) (ASSUME :args (_let_9)) :args (false false _let_153 false _let_152 false _let_151 false _let_150 false _let_149 false _let_148 false _let_147 false _let_145 false _let_144 false _let_142 false _let_141 false _let_139 false _let_138 false _let_137 false _let_136 false _let_135 false _let_134 false _let_133 false _let_128 false _let_127 false _let_125 false _let_124 false _let_123 false _let_122 false _let_121 false _let_119 false _let_117 false _let_116 false _let_115 false _let_114 false _let_112 false _let_110 false _let_109 false _let_108 false _let_106 false _let_104 false _let_102 false _let_100 false _let_99 false _let_97 false _let_96 false _let_95 false _let_93 false _let_86 false _let_83 false _let_79 false _let_75 false _let_73 false _let_70 false _let_68 false _let_66 false _let_64 false _let_61 false _let_59 false _let_58 false _let_56 false _let_54 false _let_53 false _let_52 false _let_50 false _let_49 false _let_47 false _let_46 false _let_44 false _let_43 false _let_42 false _let_41 false _let_39 false _let_37 false _let_35 false _let_34 false _let_32 false _let_30 false _let_29 false _let_27 false _let_25 false _let_23 false _let_21 false _let_19 true _let_8)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.49/1.67 )
% 1.51/1.68 % SZS output end Proof for LAT154-1
% 1.51/1.68 % cvc5---1.0.5 exiting
% 1.51/1.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------