TSTP Solution File: LAT005-4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT005-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:02:34 EDT 2023
% Result : Unsatisfiable 2.27s 2.47s
% Output : Proof 2.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT005-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 07:08:34 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.rIaZo3X2Cp/cvc5---1.0.5_23165.p...
% 0.21/0.51 ------- get file name : TPTP file name is LAT005-4
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23165.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.27/2.47 % SZS status Unsatisfiable for LAT005-4
% 2.27/2.47 % SZS output start Proof for LAT005-4
% 2.27/2.50 (
% 2.27/2.50 (let ((_let_1 (tptp.meet tptp.a2 tptp.b2))) (let ((_let_2 (not (= _let_1 tptp.r1)))) (let ((_let_3 (tptp.meet tptp.b tptp.r2))) (let ((_let_4 (tptp.join tptp.r1 _let_3))) (let ((_let_5 (= _let_4 tptp.a2))) (let ((_let_6 (tptp.meet tptp.a tptp.r2))) (let ((_let_7 (tptp.join tptp.r1 _let_6))) (let ((_let_8 (= _let_7 tptp.b2))) (let ((_let_9 (tptp.join tptp.a tptp.b))) (let ((_let_10 (tptp.meet tptp.r1 _let_9))) (let ((_let_11 (= _let_10 tptp.n0))) (let ((_let_12 (tptp.join tptp.r1 _let_9))) (let ((_let_13 (= _let_12 tptp.n1))) (let ((_let_14 (tptp.meet tptp.a tptp.b))) (let ((_let_15 (tptp.meet tptp.r2 _let_14))) (let ((_let_16 (= _let_15 tptp.n0))) (let ((_let_17 (tptp.join tptp.r2 _let_14))) (let ((_let_18 (= _let_17 tptp.n1))) (let ((_let_19 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Z) X)) (= (tptp.meet Z (tptp.join X Y)) (tptp.join X (tptp.meet Y Z))))))) (let ((_let_20 (forall ((X $$unsorted)) (= (tptp.meet X tptp.n1) X)))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))) (let ((_let_22 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))) (let ((_let_23 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_24 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_25 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_26 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_27 (forall ((X $$unsorted)) (= (tptp.join X X) X)))) (let ((_let_28 (forall ((X $$unsorted)) (= (tptp.meet X X) X)))) (let ((_let_29 (= tptp.n1 _let_17))) (let ((_let_30 (= tptp.n0 _let_15))) (let ((_let_31 (= tptp.n1 _let_12))) (let ((_let_32 (= tptp.n0 _let_10))) (let ((_let_33 (= tptp.b2 _let_7))) (let ((_let_34 (= tptp.a2 _let_4))) (let ((_let_35 (= tptp.r1 _let_1))) (let ((_let_36 (tptp.meet tptp.a _let_9))) (let ((_let_37 (= tptp.a _let_36))) (let ((_let_38 (= tptp.r1 (tptp.meet tptp.r1 _let_12)))) (let ((_let_39 (tptp.meet tptp.r1 _let_4))) (let ((_let_40 (= tptp.r1 _let_39))) (let ((_let_41 (tptp.join tptp.r2 _let_15))) (let ((_let_42 (= tptp.r2 _let_41))) (let ((_let_43 (tptp.join tptp.a _let_6))) (let ((_let_44 (= tptp.a _let_43))) (let ((_let_45 (tptp.join tptp.a _let_14))) (let ((_let_46 (= tptp.a _let_45))) (let ((_let_47 (tptp.join tptp.b _let_3))) (let ((_let_48 (= tptp.b _let_47))) (let ((_let_49 (tptp.join tptp.r1 _let_10))) (let ((_let_50 (= tptp.r1 _let_49))) (let ((_let_51 (tptp.join tptp.a2 _let_1))) (let ((_let_52 (= tptp.a2 _let_51))) (let ((_let_53 (tptp.meet _let_14 tptp.r2))) (let ((_let_54 (= _let_15 _let_53))) (let ((_let_55 (tptp.meet tptp.r2 tptp.a))) (let ((_let_56 (= _let_6 _let_55))) (let ((_let_57 (tptp.meet tptp.b tptp.a))) (let ((_let_58 (= _let_14 _let_57))) (let ((_let_59 (tptp.meet tptp.r2 tptp.b))) (let ((_let_60 (= _let_3 _let_59))) (let ((_let_61 (tptp.meet _let_9 tptp.r1))) (let ((_let_62 (= _let_10 _let_61))) (let ((_let_63 (tptp.join _let_14 tptp.r2))) (let ((_let_64 (= _let_17 _let_63))) (let ((_let_65 (tptp.join tptp.b tptp.a))) (let ((_let_66 (= _let_9 _let_65))) (let ((_let_67 (tptp.join _let_9 tptp.r1))) (let ((_let_68 (= _let_12 _let_67))) (let ((_let_69 (tptp.join _let_3 tptp.r1))) (let ((_let_70 (= _let_4 _let_69))) (let ((_let_71 (tptp.meet _let_55 tptp.b))) (let ((_let_72 (= _let_15 _let_71))) (let ((_let_73 (tptp.join tptp.r1 tptp.a))) (let ((_let_74 (tptp.join _let_73 tptp.b))) (let ((_let_75 (= _let_12 _let_74))) (let ((_let_76 (tptp.meet _let_6 tptp.a2))) (let ((_let_77 (= (tptp.meet tptp.a2 _let_7) (tptp.join tptp.r1 _let_76)))) (let ((_let_78 (= tptp.b (tptp.meet tptp.b _let_65)))) (let ((_let_79 (tptp.meet tptp.b _let_47))) (let ((_let_80 (= tptp.b _let_79))) (let ((_let_81 (= tptp.a2 (tptp.meet tptp.a2 _let_51)))) (let ((_let_82 (= _let_3 (tptp.meet _let_3 _let_69)))) (let ((_let_83 (tptp.meet tptp.a tptp.r1))) (let ((_let_84 (tptp.join tptp.a _let_83))) (let ((_let_85 (= tptp.a _let_84))) (let ((_let_86 (tptp.join _let_14 _let_53))) (let ((_let_87 (= _let_14 _let_86))) (let ((_let_88 (= _let_9 (tptp.join _let_9 _let_61)))) (let ((_let_89 (tptp.meet tptp.r1 tptp.a))) (let ((_let_90 (= _let_83 _let_89))) (let ((_let_91 (tptp.meet _let_9 tptp.a))) (let ((_let_92 (= _let_36 _let_91))) (let ((_let_93 (tptp.meet tptp.r1 tptp.b))) (let ((_let_94 (tptp.meet tptp.b tptp.r1))) (let ((_let_95 (= _let_94 _let_93))) (let ((_let_96 (tptp.meet tptp.b _let_55))) (let ((_let_97 (= _let_71 _let_96))) (let ((_let_98 (tptp.meet tptp.a2 _let_6))) (let ((_let_99 (= _let_76 _let_98))) (let ((_let_100 (tptp.join _let_15 tptp.r2))) (let ((_let_101 (= _let_41 _let_100))) (let ((_let_102 (tptp.join _let_14 tptp.a))) (let ((_let_103 (= _let_45 _let_102))) (let ((_let_104 (tptp.join _let_6 tptp.a))) (let ((_let_105 (= _let_43 _let_104))) (let ((_let_106 (tptp.join _let_94 tptp.a))) (let ((_let_107 (tptp.join tptp.a _let_94))) (let ((_let_108 (= _let_107 _let_106))) (let ((_let_109 (tptp.join _let_10 tptp.r1))) (let ((_let_110 (= _let_49 _let_109))) (let ((_let_111 (tptp.join tptp.b tptp.r1))) (let ((_let_112 (tptp.join tptp.r1 tptp.b))) (let ((_let_113 (= _let_112 _let_111))) (let ((_let_114 (tptp.join tptp.b _let_73))) (let ((_let_115 (= _let_74 _let_114))) (let ((_let_116 (tptp.meet tptp.a (tptp.meet _let_9 tptp.r2)))) (let ((_let_117 (= (tptp.meet _let_36 tptp.r2) _let_116))) (let ((_let_118 (tptp.meet _let_4 _let_12))) (let ((_let_119 (tptp.meet tptp.r1 _let_118))) (let ((_let_120 (= (tptp.meet _let_39 _let_12) _let_119))) (let ((_let_121 (= _let_53 (tptp.meet tptp.a _let_3)))) (let ((_let_122 (= (tptp.meet _let_36 tptp.r1) (tptp.meet tptp.a _let_61)))) (let ((_let_123 (tptp.meet tptp.r2 tptp.a2))) (let ((_let_124 (tptp.meet tptp.a _let_123))) (let ((_let_125 (= _let_76 _let_124))) (let ((_let_126 (= (tptp.meet _let_59 tptp.a) (tptp.meet tptp.r2 _let_57)))) (let ((_let_127 (tptp.meet _let_55 _let_9))) (let ((_let_128 (= _let_127 (tptp.meet tptp.r2 _let_36)))) (let ((_let_129 (= (tptp.meet _let_94 _let_4) (tptp.meet tptp.b _let_39)))) (let ((_let_130 (tptp.join _let_14 _let_14))) (let ((_let_131 (tptp.join tptp.a _let_130))) (let ((_let_132 (= (tptp.join _let_45 _let_14) _let_131))) (let ((_let_133 (tptp.join _let_3 _let_3))) (let ((_let_134 (tptp.join tptp.b _let_133))) (let ((_let_135 (= (tptp.join _let_47 _let_3) _let_134))) (let ((_let_136 (tptp.join tptp.a _let_111))) (let ((_let_137 (= _let_67 _let_136))) (let ((_let_138 (tptp.join _let_9 _let_3))) (let ((_let_139 (= _let_138 (tptp.join tptp.a _let_47)))) (let ((_let_140 (tptp.join _let_10 _let_10))) (let ((_let_141 (= _let_10 _let_140))) (let ((_let_142 (= _let_14 _let_130))) (let ((_let_143 (= _let_3 _let_133))) (let ((_let_144 (= _let_15 (tptp.meet _let_15 _let_100)))) (let ((_let_145 (tptp.join _let_15 tptp.a))) (let ((_let_146 (= _let_15 (tptp.meet _let_15 _let_145)))) (let ((_let_147 (tptp.join _let_10 tptp.b))) (let ((_let_148 (= _let_10 (tptp.meet _let_10 _let_147)))) (let ((_let_149 (tptp.join _let_10 _let_3))) (let ((_let_150 (= _let_10 (tptp.meet _let_10 _let_149)))) (let ((_let_151 (= tptp.a (tptp.meet tptp.a _let_136)))) (let ((_let_152 (= tptp.b (tptp.meet tptp.b _let_114)))) (let ((_let_153 (= _let_14 (tptp.meet _let_14 _let_102)))) (let ((_let_154 (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a _let_59))))) (let ((_let_155 (= tptp.a (tptp.join tptp.a _let_124)))) (let ((_let_156 (= tptp.b (tptp.join tptp.b _let_96)))) (let ((_let_157 (= _let_3 (tptp.join _let_3 (tptp.meet _let_3 tptp.a))))) (let ((_let_158 (= (tptp.meet _let_10 tptp.a) (tptp.meet tptp.a _let_10)))) (let ((_let_159 (tptp.meet _let_17 tptp.a))) (let ((_let_160 (= _let_159 (tptp.meet tptp.a _let_17)))) (let ((_let_161 (tptp.meet tptp.b _let_9))) (let ((_let_162 (tptp.meet _let_9 tptp.b))) (let ((_let_163 (= _let_162 _let_161))) (let ((_let_164 (= _let_127 (tptp.meet _let_9 _let_55)))) (let ((_let_165 (= _let_145 (tptp.join tptp.a _let_15)))) (let ((_let_166 (tptp.join tptp.b _let_10))) (let ((_let_167 (= _let_147 _let_166))) (let ((_let_168 (= _let_149 (tptp.join _let_3 _let_10)))) (let ((_let_169 (tptp.join _let_3 _let_9))) (let ((_let_170 (= _let_138 _let_169))) (let ((_let_171 (tptp.meet tptp.r2 _let_4))) (let ((_let_172 (tptp.meet tptp.b _let_171))) (let ((_let_173 (= (tptp.meet _let_3 _let_4) _let_172))) (let ((_let_174 (tptp.meet _let_118 _let_6))) (let ((_let_175 (tptp.meet tptp.r1 _let_174))) (let ((_let_176 (= (tptp.meet _let_119 _let_6) _let_175))) (let ((_let_177 (= (tptp.meet _let_93 _let_4) (tptp.meet tptp.r1 (tptp.meet tptp.b _let_4))))) (let ((_let_178 (= (tptp.meet (tptp.meet _let_6 _let_4) _let_69) (tptp.meet _let_6 (tptp.meet _let_4 _let_69))))) (let ((_let_179 (= (tptp.meet tptp.r1 _let_6) (tptp.meet _let_89 tptp.r2)))) (let ((_let_180 (= (tptp.meet _let_93 _let_47) (tptp.meet tptp.r1 _let_79)))) (let ((_let_181 (tptp.meet _let_3 _let_9))) (let ((_let_182 (tptp.meet _let_181 tptp.a))) (let ((_let_183 (= _let_182 (tptp.meet _let_3 _let_91)))) (let ((_let_184 (tptp.meet tptp.a2 tptp.a))) (let ((_let_185 (tptp.meet _let_184 tptp.r2))) (let ((_let_186 (= _let_98 _let_185))) (let ((_let_187 (= (tptp.join _let_86 _let_94) (tptp.join _let_14 (tptp.join _let_53 _let_94))))) (let ((_let_188 (tptp.join _let_133 tptp.r1))) (let ((_let_189 (tptp.join tptp.b _let_188))) (let ((_let_190 (= (tptp.join _let_134 tptp.r1) _let_189))) (let ((_let_191 (= (tptp.join _let_106 _let_130) (tptp.join _let_94 _let_131)))) (let ((_let_192 (= _let_4 (tptp.meet _let_4 tptp.n1)))) (let ((_let_193 (tptp.join _let_6 _let_9))) (let ((_let_194 (tptp.meet tptp.a _let_193))) (let ((_let_195 (= _let_194 (tptp.join _let_6 _let_91)))) (let ((_let_196 (= (tptp.meet tptp.b _let_109) (tptp.join _let_10 _let_93)))) (let ((_let_197 (= _let_107 (tptp.meet _let_107 _let_107)))) (let ((_let_198 (= _let_3 (tptp.meet _let_3 _let_169)))) (let ((_let_199 (= _let_76 (tptp.meet _let_76 (tptp.join _let_76 tptp.a))))) (let ((_let_200 (= _let_9 (tptp.join _let_9 (tptp.meet _let_9 _let_116))))) (let ((_let_201 (= _let_76 (tptp.join _let_76 (tptp.meet _let_76 tptp.r1))))) (let ((_let_202 (tptp.join _let_184 _let_185))) (let ((_let_203 (= _let_184 _let_202))) (let ((_let_204 (= (tptp.meet tptp.a _let_57) (tptp.meet _let_57 tptp.a)))) (let ((_let_205 (tptp.meet _let_118 tptp.b))) (let ((_let_206 (= _let_205 (tptp.meet tptp.b _let_118)))) (let ((_let_207 (= _let_175 (tptp.meet _let_174 tptp.r1)))) (let ((_let_208 (tptp.meet _let_112 tptp.a))) (let ((_let_209 (= _let_208 (tptp.meet tptp.a _let_112)))) (let ((_let_210 (= (tptp.meet _let_76 _let_3) (tptp.meet _let_3 _let_76)))) (let ((_let_211 (tptp.join _let_14 _let_94))) (let ((_let_212 (tptp.meet _let_211 tptp.a))) (let ((_let_213 (= _let_212 (tptp.meet tptp.a _let_211)))) (let ((_let_214 (= (tptp.join _let_43 _let_76) (tptp.join _let_76 _let_43)))) (let ((_let_215 (= _let_189 (tptp.join _let_188 tptp.b)))) (let ((_let_216 (= (tptp.join _let_14 _let_3) (tptp.join _let_3 _let_14)))) (let ((_let_217 (= _let_193 (tptp.join _let_9 _let_6)))) (let ((_let_218 (= (tptp.meet _let_182 _let_123) (tptp.meet _let_181 _let_124)))) (let ((_let_219 (= (tptp.meet (tptp.meet _let_76 _let_118) tptp.b) (tptp.meet _let_76 _let_205)))) (let ((_let_220 (tptp.meet _let_10 tptp.b))) (let ((_let_221 (= _let_220 (tptp.meet tptp.r1 _let_162)))) (let ((_let_222 (= (tptp.meet _let_208 _let_193) (tptp.meet _let_112 _let_194)))) (let ((_let_223 (= (tptp.meet (tptp.meet _let_140 tptp.b) _let_171) (tptp.meet _let_140 _let_172)))) (let ((_let_224 (= (tptp.meet tptp.b _let_63) (tptp.join _let_14 _let_59)))) (let ((_let_225 (= (tptp.meet tptp.a (tptp.join _let_6 _let_17)) (tptp.join _let_6 _let_159)))) (let ((_let_226 (tptp.join _let_57 _let_4))) (let ((_let_227 (= (tptp.meet _let_107 _let_226) (tptp.join _let_57 (tptp.meet _let_4 _let_107))))) (let ((_let_228 (= (tptp.join _let_133 _let_93) (tptp.meet tptp.b _let_188)))) (let ((_let_229 (= (tptp.meet tptp.a (tptp.join _let_76 _let_181)) (tptp.join _let_76 _let_182)))) (let ((_let_230 (tptp.join _let_76 _let_71))) (let ((_let_231 (= _let_230 (tptp.meet _let_230 (tptp.join _let_230 _let_14))))) (let ((_let_232 (tptp.meet _let_9 _let_111))) (let ((_let_233 (= (tptp.meet _let_111 _let_9) _let_232))) (let ((_let_234 (= (tptp.join _let_212 _let_76) (tptp.join _let_76 _let_212)))) (let ((_let_235 (tptp.join _let_130 tptp.r1))) (let ((_let_236 (tptp.join _let_235 _let_3))) (let ((_let_237 (= _let_236 (tptp.join _let_3 _let_235)))) (let ((_let_238 (tptp.join _let_4 tptp.b))) (let ((_let_239 (= (tptp.meet (tptp.meet _let_84 _let_238) _let_193) (tptp.meet _let_84 (tptp.meet _let_238 _let_193))))) (let ((_let_240 (tptp.meet _let_76 tptp.a))) (let ((_let_241 (= (tptp.meet _let_76 _let_14) (tptp.meet _let_240 tptp.b)))) (let ((_let_242 (= (tptp.join (tptp.join _let_3 _let_57) tptp.r1) (tptp.join _let_3 (tptp.join _let_57 tptp.r1))))) (let ((_let_243 (= _let_236 (tptp.join _let_130 _let_4)))) (let ((_let_244 (= (tptp.join (tptp.join _let_57 _let_184) _let_185) (tptp.join _let_57 _let_202)))) (let ((_let_245 (= _let_166 _let_232))) (let ((_let_246 (SYMM (ASSUME :args (_let_18))))) (let ((_let_247 (SYMM (ASSUME :args (_let_16))))) (let ((_let_248 (SYMM (ASSUME :args (_let_13))))) (let ((_let_249 (SYMM (ASSUME :args (_let_11))))) (let ((_let_250 (SYMM (ASSUME :args (_let_8))))) (let ((_let_251 (SYMM (ASSUME :args (_let_5))))) (let ((_let_252 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_253 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_254 (_let_252))) (let ((_let_255 ((tptp.join X Y)))) (let ((_let_256 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (tptp.r1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_40 false _let_252)))) (let ((_let_257 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_258 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_259 (_let_257))) (let ((_let_260 ((tptp.meet X Y)))) (let ((_let_261 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.a tptp.r2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_44 false _let_257)))) (let ((_let_262 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.b tptp.r2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_48 false _let_257)))) (let ((_let_263 (_let_24))) (let ((_let_264 (ASSUME :args _let_263))) (let ((_let_265 ((tptp.meet X Y)))) (let ((_let_266 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (tptp.b _let_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_387 false _let_23)) :args (_let_382 false _let_58 false _let_389 false _let_388 false _let_387)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (_let_14 tptp.b tptp.r2 QUANTIFIERS_INST_E_MATCHING _let_385)) :args _let_284)) _let_283 :args (_let_384 false _let_282)) :args (_let_224 false _let_382 false _let_384)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (_let_140 tptp.b _let_171 QUANTIFIERS_INST_E_MATCHING _let_274)) :args _let_272)) _let_273 :args (_let_223 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (_let_112 tptp.a _let_193 QUANTIFIERS_INST_E_MATCHING _let_274)) :args _let_272)) _let_273 :args (_let_222 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.r1 _let_9 tptp.b 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:args _let_272)) _let_273 :args (_let_177 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.r1 _let_118 _let_6 QUANTIFIERS_INST_E_MATCHING _let_299)) :args _let_272)) _let_273 :args (_let_176 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.b tptp.r2 _let_4 QUANTIFIERS_INST_E_MATCHING _let_299)) :args _let_272)) _let_273 :args (_let_173 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (_let_9 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_170 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (_let_10 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_168 false _let_23)) _let_311 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (_let_15 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_165 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (_let_55 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args (_let_164 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_264 :args (tptp.b _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263))) _let_264 :args (_let_163 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (_let_17 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args (_let_160 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (_let_10 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args (_let_158 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (_let_3 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_157 false _let_257)) _let_310 _let_309 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.a _let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_154 false _let_257)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_14 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_153 false _let_252)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (tptp.b _let_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_152 false _let_252)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (tptp.a _let_111 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_151 false _let_252)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_10 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_150 false _let_252)) _let_308 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_15 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_146 false _let_252)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_15 tptp.r2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_144 false _let_252)) _let_307 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_306)) :args _let_305)) _let_304 :args (_let_142 false _let_303)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_306)) :args _let_305)) _let_304 :args (_let_141 false _let_303)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_277 :args (tptp.a tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING _let_278)) :args _let_276)) _let_277 :args (_let_139 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_277 :args (tptp.a tptp.b tptp.r1 QUANTIFIERS_INST_E_MATCHING _let_302)) :args _let_276)) _let_277 :args (_let_137 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_277 :args (tptp.b _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_302)) :args _let_276)) _let_277 :args (_let_135 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_277 :args (tptp.a _let_14 _let_14 QUANTIFIERS_INST_E_MATCHING _let_302)) :args _let_276)) _let_277 :args (_let_132 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.b tptp.r1 _let_4 QUANTIFIERS_INST_E_MATCHING _let_274)) :args _let_272)) _let_273 :args (_let_129 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.r2 tptp.a _let_9 QUANTIFIERS_INST_E_MATCHING _let_274)) :args _let_272)) _let_273 :args (_let_128 false _let_22)) _let_301 _let_300 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.a _let_9 tptp.r1 QUANTIFIERS_INST_E_MATCHING _let_299)) :args _let_272)) _let_273 :args (_let_122 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.a tptp.b tptp.r2 QUANTIFIERS_INST_E_MATCHING _let_299)) :args _let_272)) _let_273 :args (_let_121 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.r1 _let_4 _let_12 QUANTIFIERS_INST_E_MATCHING _let_299)) :args _let_272)) _let_273 :args (_let_120 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.a _let_9 tptp.r2 QUANTIFIERS_INST_E_MATCHING _let_299)) :args _let_272)) _let_273 :args (_let_117 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (_let_73 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_115 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (tptp.r1 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_113 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (tptp.r1 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_110 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (tptp.a _let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_108 false _let_23)) _let_298 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (tptp.a _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_103 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (tptp.r2 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_101 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (_let_6 tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args (_let_99 false _let_24)) _let_297 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (tptp.b tptp.r1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args (_let_95 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (tptp.a _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args (_let_92 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (tptp.a tptp.r1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args (_let_90 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (_let_9 tptp.r1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_88 false _let_257)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (_let_14 tptp.r2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_87 false _let_257)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.a tptp.r1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_85 false _let_257)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_3 tptp.r1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_82 false _let_252)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (tptp.a2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_81 false _let_252)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_80 false _let_252)) _let_296 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_281)) :args ((or _let_280 _let_77 (not _let_281)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_288)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_251 _let_293) (SCOPE (TRANS _let_295 (CONG _let_292 _let_291 :args _let_290)) :args _let_289)) :args _let_289)) :args (true _let_288)) :args ((or _let_287 _let_279 _let_286))) _let_251 _let_256 :args (_let_279 false _let_34 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (tptp.r1 tptp.a2 _let_6 QUANTIFIERS_INST_E_MATCHING _let_285)) :args _let_284)) _let_283 :args (_let_281 false _let_282)) :args (_let_77 false _let_279 false _let_281)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_277 :args (tptp.r1 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_278)) :args _let_276))) _let_277 :args (_let_75 false _let_21)) _let_275 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (tptp.r1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_70 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (tptp.r1 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_68 false _let_23)) _let_271 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (tptp.r2 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_268)) _let_269 :args (_let_64 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (tptp.r1 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args (_let_62 false _let_24)) _let_267 _let_266 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (tptp.a tptp.r2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args (_let_56 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (tptp.r2 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_263)) _let_264 :args (_let_54 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.a2 tptp.b2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_52 false _let_257)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.r1 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_50 false _let_257)) _let_262 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_46 false _let_257)) _let_261 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (tptp.r2 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_42 false _let_257)) _let_256 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (tptp.r1 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_38 false _let_252)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_255)) :args _let_254)) _let_253 :args (_let_37 false _let_252)) (SYMM (ASSUME :args (_let_2))) _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 :args (false false _let_245 false _let_244 false _let_243 false _let_242 false _let_241 false _let_239 false _let_237 false _let_234 false _let_233 false _let_231 false _let_229 false _let_228 false _let_227 false _let_225 false _let_224 false _let_223 false _let_222 false _let_221 false _let_219 false _let_218 false _let_217 false _let_216 false _let_215 false _let_214 false _let_213 false _let_210 false _let_209 false _let_207 false _let_206 false _let_204 false _let_203 false _let_201 false _let_200 false _let_199 false _let_198 false _let_197 false _let_196 false _let_195 false _let_192 false _let_191 false _let_190 false _let_187 false _let_186 false _let_183 false _let_180 false _let_179 false _let_178 false _let_177 false _let_176 false _let_173 false _let_170 false _let_168 false _let_167 false _let_165 false _let_164 false _let_163 false _let_160 false _let_158 false _let_157 false _let_156 false _let_155 false _let_154 false _let_153 false _let_152 false _let_151 false _let_150 false _let_148 false _let_146 false _let_144 false _let_143 false _let_142 false _let_141 false _let_139 false _let_137 false _let_135 false _let_132 false _let_129 false _let_128 false _let_126 false _let_125 false _let_122 false _let_121 false _let_120 false _let_117 false _let_115 false _let_113 false _let_110 false _let_108 false _let_105 false _let_103 false _let_101 false _let_99 false _let_97 false _let_95 false _let_92 false _let_90 false _let_88 false _let_87 false _let_85 false _let_82 false _let_81 false _let_80 false _let_78 false _let_77 false _let_75 false _let_72 false _let_70 false _let_68 false _let_66 false _let_64 false _let_62 false _let_60 false _let_58 false _let_56 false _let_54 false _let_52 false _let_50 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_37 true _let_35 false _let_34 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29)) :args (_let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 (forall ((X $$unsorted)) (= (tptp.meet X tptp.n0) tptp.n0)) (forall ((X $$unsorted)) (= (tptp.join X tptp.n0) X)) _let_20 (forall ((X $$unsorted)) (= (tptp.join X tptp.n1) tptp.n1)) _let_19 _let_18 _let_16 _let_13 _let_11 _let_8 _let_5 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.27/2.50 )
% 2.27/2.51 % SZS output end Proof for LAT005-4
% 2.27/2.51 % cvc5---1.0.5 exiting
% 2.27/2.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------