TSTP Solution File: LAT174-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT174-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 06:03:06 EDT 2023
% Result : Unsatisfiable 1.35s 1.58s
% Output : Proof 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT174-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 06:50:06 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.GmhjIkvhTc/cvc5---1.0.5_5235.p...
% 0.21/0.50 ------- get file name : TPTP file name is LAT174-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5235.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.35/1.58 % SZS status Unsatisfiable for LAT174-1
% 1.35/1.58 % SZS output start Proof for LAT174-1
% 1.35/1.58 (
% 1.35/1.58 (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.join X (tptp.meet Y (tptp.join Z (tptp.meet Y U)))) (tptp.join X (tptp.meet Y (tptp.join Z (tptp.meet U (tptp.join X Y))))))))) (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 (tptp.meet tptp.a _let_1))) (let ((_let_18 (= tptp.a _let_17))) (let ((_let_19 (tptp.meet tptp.b _let_4))) (let ((_let_20 (= tptp.b _let_19))) (let ((_let_21 (tptp.meet _let_5 _let_6))) (let ((_let_22 (= _let_5 _let_21))) (let ((_let_23 (= tptp.a (tptp.join tptp.a _let_3)))) (let ((_let_24 (tptp.join tptp.a _let_5))) (let ((_let_25 (= tptp.a _let_24))) (let ((_let_26 (tptp.join tptp.c _let_2))) (let ((_let_27 (= tptp.c _let_26))) (let ((_let_28 (tptp.meet tptp.c tptp.a))) (let ((_let_29 (= _let_3 _let_28))) (let ((_let_30 (tptp.meet _let_4 tptp.a))) (let ((_let_31 (= _let_5 _let_30))) (let ((_let_32 (tptp.meet _let_6 tptp.a))) (let ((_let_33 (= _let_7 _let_32))) (let ((_let_34 (tptp.meet _let_1 tptp.c))) (let ((_let_35 (= _let_2 _let_34))) (let ((_let_36 (tptp.join tptp.b tptp.a))) (let ((_let_37 (= _let_1 _let_36))) (let ((_let_38 (tptp.join _let_3 tptp.b))) (let ((_let_39 (= _let_4 _let_38))) (let ((_let_40 (tptp.meet tptp.c _let_26))) (let ((_let_41 (= tptp.c _let_40))) (let ((_let_42 (tptp.meet _let_3 _let_38))) (let ((_let_43 (= _let_3 _let_42))) (let ((_let_44 (= tptp.a (tptp.join tptp.a _let_17)))) (let ((_let_45 (tptp.join _let_4 _let_30))) (let ((_let_46 (= _let_4 _let_45))) (let ((_let_47 (tptp.meet _let_6 _let_5))) (let ((_let_48 (= _let_21 _let_47))) (let ((_let_49 (tptp.join _let_5 tptp.a))) (let ((_let_50 (= _let_24 _let_49))) (let ((_let_51 (tptp.meet tptp.b tptp.c))) (let ((_let_52 (tptp.join _let_51 _let_5))) (let ((_let_53 (= (tptp.join _let_5 _let_51) _let_52))) (let ((_let_54 (tptp.meet _let_1 _let_1))) (let ((_let_55 (tptp.meet tptp.a _let_54))) (let ((_let_56 (= (tptp.meet _let_17 _let_1) _let_55))) (let ((_let_57 (tptp.meet _let_4 _let_6))) (let ((_let_58 (= _let_21 (tptp.meet tptp.a _let_57)))) (let ((_let_59 (= (tptp.meet _let_28 _let_1) (tptp.meet tptp.c _let_17)))) (let ((_let_60 (tptp.meet _let_4 _let_1))) (let ((_let_61 (tptp.meet tptp.b (tptp.join _let_3 _let_60)))) (let ((_let_62 (tptp.join tptp.a _let_61))) (let ((_let_63 (= (tptp.join tptp.a (tptp.meet tptp.b (tptp.join _let_3 _let_19))) _let_62))) (let ((_let_64 (tptp.meet tptp.a (tptp.join tptp.a tptp.c)))) (let ((_let_65 (tptp.join tptp.a _let_64))) (let ((_let_66 (tptp.meet tptp.c _let_65))) (let ((_let_67 (tptp.join tptp.a _let_66))) (let ((_let_68 (= (tptp.join tptp.a (tptp.meet tptp.c (tptp.join tptp.a _let_28))) _let_67))) (let ((_let_69 (tptp.meet tptp.c (tptp.join tptp.c _let_1)))) (let ((_let_70 (tptp.meet _let_1 (tptp.join tptp.c _let_69)))) (let ((_let_71 (tptp.join tptp.c _let_70))) (let ((_let_72 (= (tptp.join tptp.c (tptp.meet _let_1 (tptp.join tptp.c _let_34))) _let_71))) (let ((_let_73 (tptp.meet tptp.a (tptp.join _let_5 (tptp.meet tptp.c _let_36))))) (let ((_let_74 (tptp.join tptp.b _let_73))) (let ((_let_75 (tptp.join _let_5 _let_3))) (let ((_let_76 (tptp.meet tptp.a _let_75))) (let ((_let_77 (= (tptp.join tptp.b _let_76) _let_74))) (let ((_let_78 (= tptp.a _let_64))) (let ((_let_79 (= tptp.c _let_69))) (let ((_let_80 (tptp.meet _let_5 _let_49))) (let ((_let_81 (= _let_5 _let_80))) (let ((_let_82 (= _let_7 (tptp.meet _let_7 (tptp.join _let_7 tptp.b))))) (let ((_let_83 (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))))) (let ((_let_84 (= tptp.c (tptp.join tptp.c _let_40)))) (let ((_let_85 (tptp.meet _let_3 tptp.b))) (let ((_let_86 (= _let_3 (tptp.join _let_3 _let_85)))) (let ((_let_87 (tptp.join _let_5 (tptp.meet tptp.b _let_26)))) (let ((_let_88 (tptp.meet _let_2 _let_87))) (let ((_let_89 (= _let_2 (tptp.join _let_2 _let_88)))) (let ((_let_90 (= _let_76 (tptp.meet _let_75 tptp.a)))) (let ((_let_91 (= (tptp.meet _let_4 tptp.c) (tptp.meet tptp.c _let_4)))) (let ((_let_92 (= (tptp.meet _let_1 _let_4) _let_60))) (let ((_let_93 (= _let_62 (tptp.join _let_61 tptp.a)))) (let ((_let_94 (= _let_74 (tptp.join _let_73 tptp.b)))) (let ((_let_95 (= _let_75 (tptp.join _let_3 _let_5)))) (let ((_let_96 (= _let_42 (tptp.meet tptp.a (tptp.meet tptp.c _let_38))))) (let ((_let_97 (tptp.meet _let_54 _let_57))) (let ((_let_98 (tptp.meet tptp.a _let_97))) (let ((_let_99 (= (tptp.meet _let_55 _let_57) _let_98))) (let ((_let_100 (= _let_47 (tptp.meet _let_32 _let_4)))) (let ((_let_101 (tptp.join _let_66 tptp.b))) (let ((_let_102 (tptp.join tptp.a _let_101))) (let ((_let_103 (= (tptp.join _let_67 tptp.b) _let_102))) (let ((_let_104 (= _let_45 (tptp.join tptp.b (tptp.join _let_3 _let_30))))) (let ((_let_105 (= (tptp.join _let_67 _let_85) (tptp.join tptp.a (tptp.join _let_66 _let_85))))) (let ((_let_106 (= (tptp.join _let_71 _let_88) (tptp.join tptp.c (tptp.join _let_70 _let_88))))) (let ((_let_107 (= (tptp.join tptp.a (tptp.meet _let_66 (tptp.join tptp.b (tptp.meet _let_66 tptp.b)))) (tptp.join tptp.a (tptp.meet _let_66 (tptp.join tptp.b (tptp.meet tptp.b _let_67))))))) (let ((_let_108 (= _let_4 (tptp.meet _let_4 (tptp.join _let_4 tptp.a))))) (let ((_let_109 (tptp.join tptp.c (tptp.meet _let_2 _let_52)))) (let ((_let_110 (tptp.meet _let_5 _let_109))) (let ((_let_111 (= _let_5 (tptp.join _let_5 _let_110)))) (let ((_let_112 (= _let_98 (tptp.meet _let_97 tptp.a)))) (let ((_let_113 (= _let_80 (tptp.meet _let_49 _let_5)))) (let ((_let_114 (= _let_102 (tptp.join _let_101 tptp.a)))) (let ((_let_115 (= _let_110 (tptp.meet tptp.a (tptp.meet _let_4 _let_109))))) (let ((_let_116 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 ((tptp.join X Y)))) (let ((_let_120 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 ((tptp.meet X Y)))) (let ((_let_124 (_let_14))) (let ((_let_125 (ASSUME :args _let_124))) (let ((_let_126 ((tptp.meet X Y)))) (let ((_let_127 (_let_13))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 ((tptp.join X Y)))) (let ((_let_130 (_let_12))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 ((tptp.meet (tptp.meet X Y) Z)))) (let ((_let_133 ((tptp.meet X (tptp.meet Y Z))))) (let ((_let_134 (_let_10))) (let ((_let_135 (ASSUME :args _let_134))) (let ((_let_136 ((tptp.join X (tptp.meet Y (tptp.join Z (tptp.meet Y U))))))) (let ((_let_137 ((tptp.join Z (tptp.meet U (tptp.join X Y)))))) (let ((_let_138 (_let_11))) (let ((_let_139 (ASSUME :args _let_138))) (let ((_let_140 ((tptp.join (tptp.join X Y) Z)))) (let ((_let_141 (and _let_18 _let_20 _let_22 _let_23 _let_25 _let_27 _let_29 _let_31 _let_33 _let_35 _let_37 _let_39 _let_41 _let_43 _let_44 _let_46 _let_48 _let_50 _let_53 _let_56 _let_58 _let_59 _let_63 _let_68 _let_72 _let_77 _let_78 _let_79 _let_81 _let_82 _let_83 _let_84 _let_86 _let_89 _let_90 _let_91 _let_92 _let_93 _let_94 _let_95 _let_96 _let_99 _let_100 _let_103 _let_104 _let_105 _let_106 _let_107 _let_108 _let_111 _let_112 _let_113 _let_114 _let_115))) (let ((_let_142 (ASSUME :args (_let_82)))) (let ((_let_143 (APPLY_UF tptp.meet))) (let ((_let_144 (APPLY_UF tptp.join))) (let ((_let_145 (REFL :args (tptp.b)))) (let ((_let_146 (ASSUME :args (_let_37)))) (let ((_let_147 (REFL :args (tptp.c)))) (let ((_let_148 (REFL :args (_let_5)))) (let ((_let_149 (REFL :args (tptp.a)))) (let ((_let_150 (ASSUME :args (_let_94)))) (let ((_let_151 (ASSUME :args (_let_77)))) (let ((_let_152 (ASSUME :args (_let_90)))) (let ((_let_153 (ASSUME :args (_let_23)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (ASSUME :args (_let_86)))) (let ((_let_156 (REFL :args (_let_85)))) (let ((_let_157 (ASSUME :args (_let_29)))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (ASSUME :args (_let_44)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (ASSUME :args (_let_18)))) (let ((_let_162 (SYMM _let_161))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (ASSUME :args (_let_78)))) (let ((_let_165 (ASSUME :args (_let_68)))) (let ((_let_166 (TRANS (SYMM _let_165) (CONG _let_149 (TRANS (CONG _let_147 (TRANS (CONG _let_149 _let_158 :args _let_144) _let_154) :args _let_143) _let_158) :args _let_144) _let_154))) (let ((_let_167 (SYMM _let_166))) (let ((_let_168 (ASSUME :args (_let_41)))) (let ((_let_169 (TRANS (CONG _let_168 (REFL :args (_let_65)) :args _let_143) (CONG (SYMM _let_168) (TRANS (CONG _let_167 (REFL :args (_let_64)) :args _let_144) (CONG _let_166 (TRANS (SYMM _let_164) _let_163) :args _let_144) _let_160) :args _let_143) _let_158))) (let ((_let_170 (ASSUME :args (_let_105)))) (let ((_let_171 (ASSUME :args (_let_83)))) (let ((_let_172 (ASSUME :args (_let_107)))) (let ((_let_173 (REFL :args (_let_75)))) (let ((_let_174 (CONG _let_173 (TRANS (SYMM (SYMM _let_172)) (CONG _let_149 (CONG _let_169 (TRANS (CONG _let_145 (CONG _let_145 _let_166 :args _let_143) :args _let_144) (SYMM _let_171)) :args _let_143) :args _let_144) (CONG _let_167 _let_156 :args _let_144) (SYMM (SYMM _let_170)) (CONG _let_149 (TRANS (CONG _let_169 _let_156 :args _let_144) (SYMM _let_155)) :args _let_144) _let_154) :args _let_143))) (let ((_let_175 (REFL :args (_let_1)))) (let ((_let_176 (ASSUME :args (_let_56)))) (let ((_let_177 (TRANS (SYMM _let_176) (CONG _let_162 _let_175 :args _let_143) _let_162))) (let ((_let_178 (ASSUME :args (_let_95)))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (ASSUME :args (_let_22)))) (let ((_let_181 (ASSUME :args (_let_58)))) (let ((_let_182 (ASSUME :args (_let_99)))) (let ((_let_183 (ASSUME :args (_let_112)))) (let ((_let_184 (REFL :args (_let_3)))) (let ((_let_185 (CONG _let_184 (TRANS (CONG (REFL :args (_let_97)) (TRANS (CONG _let_149 _let_163 :args _let_144) _let_160) :args _let_143) (SYMM _let_183) (SYMM _let_182) (CONG _let_177 (REFL :args (_let_57)) :args _let_143) (SYMM _let_181) (SYMM _let_180)) :args _let_144))) (let ((_let_186 (ASSUME :args (_let_43)))) (let ((_let_187 (ASSUME :args (_let_96)))) (let ((_let_188 (ASSUME :args (_let_39)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (SYMM _let_189))) (let ((_let_191 (ASSUME :args (_let_91)))) (let ((_let_192 (ASSUME :args (_let_27)))) (let ((_let_193 (SYMM _let_192))) (let ((_let_194 (ASSUME :args (_let_89)))) (let ((_let_195 (ASSUME :args (_let_35)))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 (ASSUME :args (_let_84)))) (let ((_let_198 (CONG _let_147 _let_168 :args _let_144))) (let ((_let_199 (ASSUME :args (_let_79)))) (let ((_let_200 (ASSUME :args (_let_72)))) (let ((_let_201 (TRANS (SYMM _let_200) (CONG _let_147 (TRANS (CONG _let_175 (TRANS (CONG _let_147 _let_196 :args _let_144) _let_193) :args _let_143) _let_196) :args _let_144) _let_193))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (ASSUME :args (_let_106)))) (let ((_let_204 (ASSUME :args (_let_53)))) (let ((_let_205 (REFL :args (_let_4)))) (let ((_let_206 (ASSUME :args (_let_115)))) (let ((_let_207 (CONG _let_148 (TRANS (SYMM (SYMM _let_206)) (CONG _let_149 (TRANS (CONG _let_205 (TRANS (CONG _let_202 (CONG (REFL :args (_let_2)) (TRANS (SYMM _let_204) (CONG _let_148 (CONG _let_145 _let_192 :args _let_143) :args _let_144)) :args _let_143) :args _let_144) (SYMM (SYMM _let_203)) (CONG _let_147 (TRANS (CONG (TRANS (CONG _let_175 (TRANS (CONG _let_202 (REFL :args (_let_69)) :args _let_144) (CONG _let_201 (TRANS (SYMM _let_199) _let_168) :args _let_144) (SYMM _let_198)) :args _let_143) (CONG _let_175 (TRANS _let_198 (SYMM _let_197)) :args _let_143) _let_196) (REFL :args (_let_88)) :args _let_144) (SYMM _let_194)) :args _let_144) _let_193) :args _let_143) (SYMM (SYMM _let_191)) (CONG _let_147 _let_190 :args _let_143)) :args _let_143) (SYMM _let_187) (SYMM _let_186)) :args _let_144))) (let ((_let_208 (ASSUME :args (_let_111)))) (let ((_let_209 (SYMM _let_208))) (let ((_let_210 (ASSUME :args (_let_25)))) (let ((_let_211 (ASSUME :args (_let_50)))) (let ((_let_212 (ASSUME :args (_let_113)))) (let ((_let_213 (ASSUME :args (_let_81)))) (let ((_let_214 (ASSUME :args (_let_31)))) (let ((_let_215 (SYMM _let_214))) (let ((_let_216 (ASSUME :args (_let_59)))) (let ((_let_217 (CONG _let_166 _let_145 :args _let_144))) (let ((_let_218 (ASSUME :args (_let_103)))) (let ((_let_219 (TRANS _let_190 (CONG (SYMM _let_169) _let_145 :args _let_144)))) (let ((_let_220 (ASSUME :args (_let_108)))) (let ((_let_221 (ASSUME :args (_let_114)))) (let ((_let_222 (ASSUME :args (_let_20)))) (let ((_let_223 (SYMM _let_222))) (let ((_let_224 (ASSUME :args (_let_63)))) (let ((_let_225 (ASSUME :args (_let_93)))) (let ((_let_226 (CONG _let_205 (TRANS (SYMM _let_225) (SYMM _let_224) (CONG _let_149 (TRANS (CONG _let_145 (TRANS (CONG _let_184 _let_223 :args _let_144) _let_189) :args _let_143) _let_223) :args _let_144)) :args _let_143))) (let ((_let_227 (ASSUME :args (_let_92)))) (let ((_let_228 (CONG (TRANS (CONG _let_157 (TRANS (CONG _let_149 (TRANS (SYMM (SYMM _let_227)) (SYMM _let_226)) :args _let_144) (CONG _let_149 (TRANS _let_226 (CONG _let_205 (TRANS (SYMM _let_217) _let_218 (SYMM (SYMM _let_221)) (CONG (SYMM _let_219) _let_149 :args _let_144)) :args _let_143) (SYMM _let_220)) :args _let_144) (CONG _let_149 _let_219 :args _let_144) (SYMM _let_218) _let_217) :args _let_143) (SYMM (SYMM _let_216)) (CONG _let_147 _let_162 :args _let_143) _let_158) _let_215 :args _let_144))) (let ((_let_229 (ASSUME :args (_let_104)))) (let ((_let_230 (ASSUME :args (_let_46)))) (let ((_let_231 (ASSUME :args (_let_33)))) (let ((_let_232 (ASSUME :args (_let_100)))) (let ((_let_233 (ASSUME :args (_let_48)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_141)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_142 _let_231 _let_146 _let_150 _let_151 _let_152 _let_153 _let_155 _let_157 _let_168 _let_159 _let_165 _let_161 _let_164 _let_170 _let_171 _let_172 _let_176 _let_178 _let_180 _let_181 _let_182 _let_183 _let_210 _let_211 _let_186 _let_187 _let_188 _let_191 _let_192 _let_194 _let_195 _let_197 _let_200 _let_199 _let_203 _let_204 _let_206 _let_208 _let_212 _let_213 _let_216 _let_218 _let_220 _let_221 _let_222 _let_224 _let_225 _let_227 _let_214 _let_229 _let_230 _let_232 _let_233) (SCOPE (TRANS _let_180 (SYMM (SYMM _let_233)) (SYMM (SYMM _let_232)) (CONG (SYMM _let_231) (TRANS (SYMM (SYMM _let_230)) (SYMM (SYMM _let_229)) (CONG _let_145 (TRANS (CONG _let_184 _let_215 :args _let_144) (SYMM _let_228)) :args _let_144) (CONG _let_145 (TRANS _let_228 _let_179 (SYMM _let_207) _let_209) :args _let_144) (CONG _let_145 (TRANS (SYMM (SYMM _let_213)) (SYMM (SYMM _let_212)) (CONG (TRANS (SYMM _let_211) (SYMM _let_210)) (TRANS (SYMM _let_209) _let_207 _let_178 (SYMM _let_185)) :args _let_143) (CONG (SYMM _let_177) (TRANS _let_185 _let_179) :args _let_143) (CONG _let_177 _let_173 :args _let_143) _let_152 (SYMM _let_174)) :args _let_144) (CONG _let_145 (TRANS 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_let_90 _let_91 _let_92 _let_93 _let_94 _let_95 _let_96 _let_99 _let_100 _let_103 _let_104 _let_105 _let_106 _let_107 _let_108 _let_111 _let_112 _let_113 _let_114 _let_115))) :args (true _let_141)) :args ((or _let_8 (not _let_18) (not _let_20) (not _let_22) (not _let_23) (not _let_25) (not _let_27) (not _let_29) (not _let_31) (not _let_33) (not _let_35) (not _let_37) (not _let_39) (not _let_41) (not _let_43) (not _let_44) (not _let_46) (not _let_48) (not _let_50) (not _let_53) (not _let_56) (not _let_58) (not _let_59) (not _let_63) (not _let_68) (not _let_72) (not _let_77) (not _let_78) (not _let_79) (not _let_81) (not _let_82) (not _let_83) (not _let_84) (not _let_86) (not _let_89) (not _let_90) (not _let_91) (not _let_92) (not _let_93) (not _let_94) (not _let_95) (not _let_96) (not _let_99) (not _let_100) (not _let_103) (not _let_104) (not _let_105) (not _let_106) (not _let_107) (not _let_108) (not _let_111) (not _let_112) (not _let_113) (not _let_114) (not _let_115)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.a _let_4 _let_109 QUANTIFIERS_INST_E_MATCHING _let_132)) :args _let_130)) _let_131 :args (_let_115 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.a _let_101 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_127)) _let_128 :args (_let_114 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_5 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_124)) _let_125 :args (_let_113 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a _let_97 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_124)) _let_125 :args (_let_112 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_5 _let_109 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_111 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_4 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_108 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.a _let_66 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_137)) :args _let_134)) _let_135 :args (_let_107 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.c _let_70 _let_88 QUANTIFIERS_INST_E_MATCHING _let_140)) :args _let_138)) _let_139 :args (_let_106 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.a _let_66 _let_85 QUANTIFIERS_INST_E_MATCHING _let_140)) :args _let_138)) _let_139 :args (_let_105 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.b _let_3 _let_30 QUANTIFIERS_INST_E_MATCHING _let_140)) :args _let_138)) _let_139 :args (_let_104 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.a _let_66 tptp.b QUANTIFIERS_INST_E_MATCHING _let_140)) :args _let_138)) _let_139 :args (_let_103 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_131 :args (_let_6 tptp.a _let_4 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_130))) _let_131 :args (_let_100 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.a _let_54 _let_57 QUANTIFIERS_INST_E_MATCHING _let_132)) :args _let_130)) _let_131 :args (_let_99 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.a tptp.c _let_38 QUANTIFIERS_INST_E_MATCHING _let_132)) :args _let_130)) _let_131 :args (_let_96 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_5 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_127)) _let_128 :args (_let_95 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE 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(_let_2 _let_87 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_89 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_3 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_86 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.c _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_84 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_83 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_7 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_82 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_5 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_81 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.c _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_79 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_78 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.b tptp.a _let_5 tptp.c QUANTIFIERS_INST_E_MATCHING _let_137)) :args _let_134)) _let_135 :args (_let_77 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.c _let_1 tptp.c tptp.c QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_134)) _let_135 :args (_let_72 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.a tptp.c tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_134)) _let_135 :args (_let_68 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.a tptp.b _let_3 _let_4 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_134)) _let_135 :args (_let_63 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.c tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_130)) _let_131 :args (_let_59 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.a _let_4 _let_6 QUANTIFIERS_INST_E_MATCHING _let_132)) :args _let_130)) _let_131 :args (_let_58 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.a _let_1 _let_1 QUANTIFIERS_INST_E_MATCHING _let_132)) :args _let_130)) _let_131 :args (_let_56 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_5 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_127)) _let_128 :args (_let_53 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.a _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_127)) _let_128 :args (_let_50 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_5 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_124)) _let_125 :args (_let_48 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_4 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_46 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_44 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_3 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_43 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.c _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_41 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_127)) _let_128 :args (_let_39 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_127)) _let_128 :args (_let_37 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.c _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_124)) _let_125 :args (_let_35 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_124)) _let_125 :args (_let_33 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_124)) _let_125 :args (_let_31 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_124)) _let_125 :args (_let_29 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.c _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_27 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.a _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_25 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_122)) _let_121 :args (_let_23 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_5 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_22 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_20 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_18 false _let_116)) (ASSUME :args (_let_9)) :args (false false _let_115 false _let_114 false _let_113 false _let_112 false _let_111 false _let_108 false _let_107 false _let_106 false _let_105 false _let_104 false _let_103 false _let_100 false _let_99 false _let_96 false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_86 false _let_84 false _let_83 false _let_82 false _let_81 false _let_79 false _let_78 false _let_77 false _let_72 false _let_68 false _let_63 false _let_59 false _let_58 false _let_56 false _let_53 false _let_50 false _let_48 false _let_46 false _let_44 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 false _let_22 false _let_20 false _let_18 true _let_8)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= (tptp.join X X) X)) _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.35/1.58 )
% 1.35/1.59 % SZS output end Proof for LAT174-1
% 1.42/1.59 % cvc5---1.0.5 exiting
% 1.42/1.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------