TSTP Solution File: LAT141-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT141-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 06:02:59 EDT 2023

% Result   : Unsatisfiable 126.95s 127.37s
% Output   : Proof 127.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LAT141-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Thu Aug 24 06:14:16 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.P2kGdCDDOl/cvc5---1.0.5_23755.p...
% 0.21/0.50  ------- get file name : TPTP file name is LAT141-1
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23755.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.66/10.87  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.68/15.89  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.72/20.92  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.77/25.97  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.87/31.04  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.88/36.06  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.99/41.14  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.97/46.22  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.97/51.32  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.15/56.40  --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.28/61.48  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.26/66.55  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.44/76.64  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 86.29/86.73  --- Run --no-cbqi --full-saturate-quant at 10...
% 96.75/97.09  --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 126.95/127.37  % SZS status Unsatisfiable for LAT141-1
% 126.95/127.37  % SZS output start Proof for LAT141-1
% 126.95/127.41  (
% 126.95/127.41  (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 $$unsorted)) (= (tptp.join (tptp.meet X Y) (tptp.meet X Z)) (tptp.meet X (tptp.join (tptp.meet Y (tptp.join X (tptp.meet Y Z))) (tptp.meet Z (tptp.join X Y)))))))) (let ((_let_11 (forall ((X $$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 $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_17 (forall ((X $$unsorted)) (= (tptp.join X X) X)))) (let ((_let_18 (forall ((X $$unsorted)) (= (tptp.meet X X) X)))) (let ((_let_19 (tptp.meet tptp.a _let_1))) (let ((_let_20 (= tptp.a _let_19))) (let ((_let_21 (tptp.meet tptp.b _let_4))) (let ((_let_22 (= tptp.b _let_21))) (let ((_let_23 (tptp.meet _let_5 _let_6))) (let ((_let_24 (= _let_5 _let_23))) (let ((_let_25 (tptp.join tptp.a _let_3))) (let ((_let_26 (= tptp.a _let_25))) (let ((_let_27 (tptp.join tptp.a _let_5))) (let ((_let_28 (= tptp.a _let_27))) (let ((_let_29 (tptp.join tptp.a _let_7))) (let ((_let_30 (= tptp.a _let_29))) (let ((_let_31 (tptp.join tptp.c _let_2))) (let ((_let_32 (= tptp.c _let_31))) (let ((_let_33 (tptp.meet tptp.c tptp.a))) (let ((_let_34 (= _let_3 _let_33))) (let ((_let_35 (tptp.meet _let_4 tptp.a))) (let ((_let_36 (= _let_5 _let_35))) (let ((_let_37 (tptp.meet _let_6 tptp.a))) (let ((_let_38 (= _let_7 _let_37))) (let ((_let_39 (tptp.meet _let_1 tptp.c))) (let ((_let_40 (= _let_2 _let_39))) (let ((_let_41 (tptp.join tptp.b tptp.a))) (let ((_let_42 (= _let_1 _let_41))) (let ((_let_43 (tptp.join _let_3 tptp.b))) (let ((_let_44 (= _let_4 _let_43))) (let ((_let_45 (tptp.join _let_2 _let_5))) (let ((_let_46 (= _let_6 _let_45))) (let ((_let_47 (tptp.join _let_5 tptp.c))) (let ((_let_48 (tptp.meet _let_1 _let_47))) (let ((_let_49 (tptp.meet tptp.c _let_6))) (let ((_let_50 (tptp.meet _let_5 (tptp.join _let_49 _let_48)))) (let ((_let_51 (tptp.meet _let_5 _let_1))) (let ((_let_52 (tptp.meet _let_5 tptp.c))) (let ((_let_53 (tptp.join _let_52 _let_51))) (let ((_let_54 (= _let_53 _let_50))) (let ((_let_55 (tptp.meet _let_2 tptp.a))) (let ((_let_56 (tptp.join _let_5 _let_55))) (let ((_let_57 (tptp.meet _let_2 _let_56))) (let ((_let_58 (tptp.join _let_57 _let_7))) (let ((_let_59 (tptp.meet _let_5 tptp.a))) (let ((_let_60 (tptp.meet _let_5 _let_2))) (let ((_let_61 (= (tptp.join _let_60 _let_59) (tptp.meet _let_5 _let_58)))) (let ((_let_62 (tptp.meet tptp.a tptp.b))) (let ((_let_63 (= (tptp.meet tptp.b tptp.a) _let_62))) (let ((_let_64 (= (tptp.meet _let_35 _let_1) (tptp.meet _let_4 _let_19)))) (let ((_let_65 (= (tptp.meet _let_51 tptp.c) (tptp.meet _let_5 _let_39)))) (let ((_let_66 (= (tptp.meet _let_19 tptp.c) (tptp.meet tptp.a _let_39)))) (let ((_let_67 (tptp.meet _let_1 _let_4))) (let ((_let_68 (tptp.meet tptp.a _let_67))) (let ((_let_69 (= (tptp.meet _let_19 _let_4) _let_68))) (let ((_let_70 (tptp.meet _let_1 _let_6))) (let ((_let_71 (tptp.meet tptp.a _let_70))) (let ((_let_72 (= (tptp.meet _let_19 _let_6) _let_71))) (let ((_let_73 (tptp.meet _let_4 _let_6))) (let ((_let_74 (tptp.meet tptp.a _let_73))) (let ((_let_75 (= _let_23 _let_74))) (let ((_let_76 (= (tptp.meet _let_21 tptp.a) (tptp.meet tptp.b _let_35)))) (let ((_let_77 (tptp.meet _let_4 tptp.c))) (let ((_let_78 (tptp.meet tptp.a _let_77))) (let ((_let_79 (= _let_52 _let_78))) (let ((_let_80 (tptp.meet _let_3 tptp.a))) (let ((_let_81 (= _let_80 (tptp.meet tptp.a _let_33)))) (let ((_let_82 (tptp.meet _let_1 tptp.a))) (let ((_let_83 (= _let_55 (tptp.meet tptp.c _let_82)))) (let ((_let_84 (= _let_59 (tptp.meet tptp.a _let_35)))) (let ((_let_85 (tptp.meet _let_4 _let_2))) (let ((_let_86 (tptp.meet tptp.a _let_85))) (let ((_let_87 (= _let_60 _let_86))) (let ((_let_88 (= _let_19 _let_82))) (let ((_let_89 (tptp.meet tptp.c tptp.b))) (let ((_let_90 (= (tptp.meet tptp.b tptp.c) _let_89))) (let ((_let_91 (tptp.join tptp.b _let_80))) (let ((_let_92 (tptp.meet _let_3 _let_91))) (let ((_let_93 (tptp.join _let_92 _let_5))) (let ((_let_94 (tptp.meet _let_93 tptp.b))) (let ((_let_95 (= (tptp.meet tptp.b _let_93) _let_94))) (let ((_let_96 (= _let_92 (tptp.meet _let_91 _let_3)))) (let ((_let_97 (= _let_52 (tptp.meet tptp.c _let_5)))) (let ((_let_98 (= _let_51 (tptp.meet _let_1 _let_5)))) (let ((_let_99 (tptp.meet _let_2 _let_5))) (let ((_let_100 (= _let_60 _let_99))) (let ((_let_101 (tptp.meet _let_6 _let_5))) (let ((_let_102 (= _let_23 _let_101))) (let ((_let_103 (tptp.meet _let_56 _let_2))) (let ((_let_104 (= _let_57 _let_103))) (let ((_let_105 (tptp.meet tptp.a _let_25))) (let ((_let_106 (= tptp.a _let_105))) (let ((_let_107 (tptp.meet tptp.b _let_41))) (let ((_let_108 (= tptp.b _let_107))) (let ((_let_109 (tptp.meet tptp.c _let_31))) (let ((_let_110 (= tptp.c _let_109))) (let ((_let_111 (= _let_3 (tptp.meet _let_3 _let_43)))) (let ((_let_112 (tptp.meet _let_5 _let_47))) (let ((_let_113 (= _let_5 _let_112))) (let ((_let_114 (tptp.meet _let_2 _let_45))) (let ((_let_115 (= _let_2 _let_114))) (let ((_let_116 (= _let_52 (tptp.meet _let_52 _let_53)))) (let ((_let_117 (tptp.join tptp.a _let_19))) (let ((_let_118 (= tptp.a _let_117))) (let ((_let_119 (tptp.join tptp.b _let_21))) (let ((_let_120 (= tptp.b _let_119))) (let ((_let_121 (= tptp.c (tptp.join tptp.c _let_33)))) (let ((_let_122 (tptp.join _let_3 _let_80))) (let ((_let_123 (= _let_3 _let_122))) (let ((_let_124 (tptp.join _let_4 _let_35))) (let ((_let_125 (= _let_4 _let_124))) (let ((_let_126 (= _let_5 (tptp.join _let_5 _let_52)))) (let ((_let_127 (tptp.join _let_2 _let_55))) (let ((_let_128 (= _let_2 _let_127))) (let ((_let_129 (= _let_6 (tptp.join _let_6 _let_37)))) (let ((_let_130 (tptp.join _let_3 tptp.a))) (let ((_let_131 (= _let_25 _let_130))) (let ((_let_132 (tptp.join _let_5 tptp.a))) (let ((_let_133 (= _let_27 _let_132))) (let ((_let_134 (tptp.join _let_7 tptp.a))) (let ((_let_135 (= _let_29 _let_134))) (let ((_let_136 (tptp.join _let_80 tptp.b))) (let ((_let_137 (= _let_91 _let_136))) (let ((_let_138 (= _let_93 (tptp.join _let_5 _let_92)))) (let ((_let_139 (tptp.join _let_7 _let_57))) (let ((_let_140 (= _let_58 _let_139))) (let ((_let_141 (= _let_53 (tptp.join _let_51 _let_52)))) (let ((_let_142 (tptp.join _let_41 _let_7))) (let ((_let_143 (= _let_142 (tptp.join tptp.b _let_29)))) (let ((_let_144 (tptp.join tptp.a _let_1))) (let ((_let_145 (tptp.meet tptp.c _let_144))) (let ((_let_146 (tptp.join tptp.a _let_39))) (let ((_let_147 (tptp.meet _let_1 _let_146))) (let ((_let_148 (tptp.join _let_147 _let_145))) (let ((_let_149 (tptp.meet tptp.a _let_148))) (let ((_let_150 (= (tptp.join _let_19 _let_3) _let_149))) (let ((_let_151 (tptp.meet _let_6 _let_144))) (let ((_let_152 (tptp.join tptp.a _let_70))) (let ((_let_153 (tptp.meet _let_1 _let_152))) (let ((_let_154 (tptp.join _let_153 _let_151))) (let ((_let_155 (tptp.meet tptp.a _let_154))) (let ((_let_156 (= (tptp.join _let_19 _let_7) _let_155))) (let ((_let_157 (tptp.meet _let_4 _let_1))) (let ((_let_158 (tptp.meet tptp.b (tptp.join tptp.a _let_21)))) (let ((_let_159 (tptp.join _let_62 _let_5))) (let ((_let_160 (= _let_159 (tptp.meet tptp.a (tptp.join _let_158 _let_157))))) (let ((_let_161 (tptp.meet _let_3 _let_4))) (let ((_let_162 (tptp.meet _let_3 tptp.b))) (let ((_let_163 (tptp.join _let_162 _let_161))) (let ((_let_164 (= _let_163 (tptp.meet _let_3 (tptp.join (tptp.meet tptp.b (tptp.join _let_3 _let_21)) (tptp.meet _let_4 _let_43)))))) (let ((_let_165 (tptp.meet tptp.a _let_45))) (let ((_let_166 (tptp.meet _let_5 (tptp.join _let_2 _let_59)))) (let ((_let_167 (tptp.join _let_166 _let_165))) (let ((_let_168 (= (tptp.join _let_99 _let_55) (tptp.meet _let_2 _let_167)))) (let ((_let_169 (tptp.meet _let_7 _let_3))) (let ((_let_170 (tptp.join (tptp.meet _let_7 (tptp.join tptp.a _let_169)) (tptp.meet _let_3 _let_29)))) (let ((_let_171 (tptp.meet tptp.a _let_7))) (let ((_let_172 (= (tptp.join _let_171 (tptp.meet tptp.a _let_3)) (tptp.meet tptp.a _let_170)))) (let ((_let_173 (= (tptp.meet _let_105 tptp.c) (tptp.meet tptp.a (tptp.meet _let_25 tptp.c))))) (let ((_let_174 (= (tptp.meet _let_33 _let_43) (tptp.meet tptp.c (tptp.meet tptp.a _let_43))))) (let ((_let_175 (= (tptp.meet _let_105 _let_4) (tptp.meet tptp.a (tptp.meet _let_25 _let_4))))) (let ((_let_176 (= (tptp.meet _let_109 _let_1) (tptp.meet tptp.c (tptp.meet _let_31 _let_1))))) (let ((_let_177 (= (tptp.meet _let_105 _let_6) (tptp.meet tptp.a (tptp.meet _let_25 _let_6))))) (let ((_let_178 (= (tptp.meet _let_103 _let_6) (tptp.meet _let_56 (tptp.meet _let_2 _let_6))))) (let ((_let_179 (tptp.join tptp.c _let_55))) (let ((_let_180 (= (tptp.meet _let_2 _let_179) (tptp.meet tptp.c (tptp.meet _let_1 _let_179))))) (let ((_let_181 (= _let_101 (tptp.meet _let_37 _let_4)))) (let ((_let_182 (tptp.meet _let_49 _let_5))) (let ((_let_183 (= _let_182 (tptp.meet tptp.c _let_101)))) (let ((_let_184 (= _let_107 (tptp.meet _let_41 tptp.b)))) (let ((_let_185 (= _let_67 _let_157))) (let ((_let_186 (tptp.meet tptp.c _let_4))) (let ((_let_187 (= _let_77 _let_186))) (let ((_let_188 (tptp.meet _let_2 _let_4))) (let ((_let_189 (= _let_85 _let_188))) (let ((_let_190 (tptp.meet _let_1 _let_1))) (let ((_let_191 (= _let_1 _let_190))) (let ((_let_192 (tptp.meet _let_4 _let_4))) (let ((_let_193 (= _let_4 _let_192))) (let ((_let_194 (= _let_2 (tptp.join _let_2 _let_2)))) (let ((_let_195 (= _let_146 (tptp.join _let_39 tptp.a)))) (let ((_let_196 (= (tptp.join _let_117 tptp.b) (tptp.join tptp.a (tptp.join _let_19 tptp.b))))) (let ((_let_197 (tptp.join _let_5 _let_1))) (let ((_let_198 (= _let_197 (tptp.join _let_132 tptp.b)))) (let ((_let_199 (= (tptp.join _let_119 _let_3) (tptp.join tptp.b (tptp.join _let_21 _let_3))))) (let ((_let_200 (= _let_127 (tptp.join _let_55 _let_2)))) (let ((_let_201 (= _let_167 (tptp.join _let_165 _let_166)))) (let ((_let_202 (= _let_7 (tptp.join _let_7 (tptp.meet _let_7 _let_4))))) (let ((_let_203 (= _let_7 (tptp.meet _let_7 _let_134)))) (let ((_let_204 (= _let_151 (tptp.meet _let_144 _let_6)))) (let ((_let_205 (= _let_169 (tptp.meet _let_3 _let_7)))) (let ((_let_206 (= (tptp.meet (tptp.meet _let_57 _let_6) tptp.a) (tptp.meet _let_57 _let_37)))) (let ((_let_207 (= (tptp.meet _let_2 tptp.b) (tptp.meet tptp.c (tptp.meet _let_1 tptp.b))))) (let ((_let_208 (= (tptp.meet _let_35 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false _let_104 false _let_102 false _let_100 false _let_98 false _let_97 false _let_96 false _let_95 false _let_90 false _let_88 false _let_87 false _let_84 false _let_83 false _let_81 false _let_79 false _let_76 false _let_75 false _let_72 false _let_69 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_54 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_34 false _let_32 false _let_30 false _let_28 false _let_26 false _let_24 false _let_22 false _let_20 true _let_8)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 126.95/127.41  )
% 127.20/127.44  % SZS output end Proof for LAT141-1
% 127.20/127.44  % cvc5---1.0.5 exiting
% 127.20/127.44  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------