TSTP Solution File: LAT247-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT247-1 : 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 06:03:20 EDT 2023

% Result   : Unsatisfiable 27.71s 27.92s
% Output   : Proof 27.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT247-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 07:57:37 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Xx1eC8mGkN/cvc5---1.0.5_5690.p...
% 0.19/0.49  ------- get file name : TPTP file name is LAT247-1
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5690.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.65/10.89  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.73/15.92  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.68/20.93  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.75/25.96  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.71/27.92  % SZS status Unsatisfiable for LAT247-1
% 27.71/27.92  % SZS output start Proof for LAT247-1
% 27.71/27.94  (
% 27.71/27.94  (let ((_let_1 (tptp.complement tptp.a))) (let ((_let_2 (tptp.complement tptp.b))) (let ((_let_3 (tptp.join _let_2 _let_1))) (let ((_let_4 (not (= _let_3 _let_1)))) (let ((_let_5 (tptp.meet tptp.b tptp.a))) (let ((_let_6 (= _let_5 tptp.a))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.join X Y))) (= (tptp.meet _let_1 (tptp.join X Z)) (tptp.join X (tptp.meet _let_1 (tptp.join (tptp.meet X Y) Z)))))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Y) tptp.zero)) (not (= (tptp.join X Y) tptp.one)) (= (tptp.complement X) Y))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.meet X (tptp.complement X)) tptp.zero)))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.join X (tptp.complement X)) tptp.one)))) (let ((_let_11 (forall ((X $$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.a _let_5))) (let ((_let_18 (tptp.meet _let_2 _let_3))) (let ((_let_19 (= _let_2 _let_18))) (let ((_let_20 (tptp.join _let_1 _let_2))) (let ((_let_21 (= _let_3 _let_20))) (let ((_let_22 (tptp.join tptp.b _let_2))) (let ((_let_23 (= tptp.one _let_22))) (let ((_let_24 (tptp.join tptp.a _let_1))) (let ((_let_25 (= tptp.one _let_24))) (let ((_let_26 (tptp.meet _let_1 _let_20))) (let ((_let_27 (= _let_1 _let_26))) (let ((_let_28 (tptp.meet _let_2 _let_1))) (let ((_let_29 (tptp.join _let_2 _let_28))) (let ((_let_30 (= _let_2 _let_29))) (let ((_let_31 (tptp.join _let_2 _let_18))) (let ((_let_32 (= _let_2 _let_31))) (let ((_let_33 (tptp.meet _let_1 _let_2))) (let ((_let_34 (= _let_28 _let_33))) (let ((_let_35 (tptp.join _let_1 tptp.a))) (let ((_let_36 (= _let_24 _let_35))) (let ((_let_37 (= (tptp.join _let_31 _let_1) (tptp.join _let_2 (tptp.join _let_18 _let_1))))) (let ((_let_38 (= (tptp.join _let_22 _let_18) (tptp.join tptp.b _let_31)))) (let ((_let_39 (= _let_1 (tptp.meet _let_1 _let_35)))) (let ((_let_40 (tptp.meet _let_1 tptp.a))) (let ((_let_41 (tptp.join _let_1 _let_40))) (let ((_let_42 (= _let_1 _let_41))) (let ((_let_43 (tptp.join _let_1 _let_33))) (let ((_let_44 (= _let_1 _let_43))) (let ((_let_45 (tptp.join _let_2 _let_5))) (let ((_let_46 (tptp.join _let_5 _let_2))) (let ((_let_47 (= _let_46 _let_45))) (let ((_let_48 (tptp.join _let_28 _let_2))) (let ((_let_49 (= _let_29 _let_48))) (let ((_let_50 (= _let_1 (tptp.meet _let_1 _let_41)))) (let ((_let_51 (tptp.meet _let_2 _let_45))) (let ((_let_52 (= _let_2 _let_51))) (let ((_let_53 (= (tptp.join _let_48 _let_5) (tptp.join _let_28 _let_45)))) (let ((_let_54 (= (tptp.meet (tptp.meet _let_1 _let_26) _let_2) (tptp.meet _let_1 (tptp.meet _let_26 _let_2))))) (let ((_let_55 (= _let_51 (tptp.meet _let_45 _let_2)))) (let ((_let_56 (tptp.meet _let_43 (tptp.join (tptp.meet _let_1 _let_33) _let_45)))) (let ((_let_57 (tptp.join _let_1 _let_56))) (let ((_let_58 (= (tptp.meet _let_43 (tptp.join _let_1 _let_45)) _let_57))) (let ((_let_59 (tptp.meet _let_1 _let_46))) (let ((_let_60 (tptp.meet _let_59 _let_2))) (let ((_let_61 (= _let_60 (tptp.meet _let_1 (tptp.meet _let_46 _let_2))))) (let ((_let_62 (= (tptp.join _let_1 (tptp.join tptp.a _let_18)) (tptp.join _let_35 _let_18)))) (let ((_let_63 (= (tptp.join _let_57 _let_33) (tptp.join _let_1 (tptp.join _let_56 _let_33))))) (let ((_let_64 (= _let_59 (tptp.join _let_59 _let_60)))) (let ((_let_65 (tptp.join _let_2 _let_3))) (let ((_let_66 (tptp.complement _let_65))) (let ((_let_67 (tptp.complement _let_66))) (let ((_let_68 (= _let_65 _let_67))) (let ((_let_69 (= _let_1 _let_67))) (let ((_let_70 (= _let_2 _let_59))) (let ((_let_71 (SYMM (ASSUME :args (_let_6))))) (let ((_let_72 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 ((tptp.join X Y)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_19 false _let_72)))) (let ((_let_77 (_let_13))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 ((tptp.join X Y)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_21 false _let_13)))) (let ((_let_81 (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.complement X)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_23 false _let_81)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_25 false _let_81)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_27 false _let_72)))) (let ((_let_88 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.meet X Y)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_2 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_32 false _let_88)))) (let ((_let_93 (_let_14))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((tptp.meet X Y)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_36 false _let_13)))) (let ((_let_97 (_let_11))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_2 _let_18 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_97)) _let_98 :args (_let_37 false _let_11)))) (let ((_let_100 ((tptp.join X (tptp.join Y Z))))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_42 false _let_88)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_5 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_47 false _let_13)))) (let ((_let_103 ((tptp.join (tptp.join X Y) Z)))) (let ((_let_104 (_let_12))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (_let_7))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 ((tptp.join (tptp.meet X Y) Z)))) (let ((_let_109 ((tptp.meet X (tptp.meet Y Z))))) (let ((_let_110 (tptp.join _let_66 _let_65))) (let ((_let_111 (= tptp.one _let_110))) (let ((_let_112 (not _let_111))) (let ((_let_113 (tptp.meet _let_66 _let_65))) (let ((_let_114 (= tptp.zero _let_113))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_115 _let_112 _let_68))) (let ((_let_117 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 (tptp.join _let_65 _let_66))) (let ((_let_121 (= _let_120 _let_110))) (let ((_let_122 (= tptp.one _let_120))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_65 _let_66 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_121 false _let_13)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_65 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_122 false _let_81)))) (let ((_let_125 (and _let_122 _let_121))) (let ((_let_126 (ASSUME :args (_let_121)))) (let ((_let_127 (SYMM (SYMM _let_126)))) (let ((_let_128 (ASSUME :args (_let_122)))) (let ((_let_129 (SYMM (SYMM _let_128)))) (let ((_let_130 (tptp.meet _let_65 _let_66))) (let ((_let_131 (= _let_130 _let_113))) (let ((_let_132 (= tptp.zero _let_130))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_65 _let_66 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_131 false _let_14)))) (let ((_let_134 (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (_let_134))) (let ((_let_137 ((tptp.complement X)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (_let_65 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_136)) _let_135 :args (_let_132 false _let_134)))) (let ((_let_139 (and _let_132 _let_131))) (let ((_let_140 (ASSUME :args (_let_131)))) (let ((_let_141 (SYMM (SYMM _let_140)))) (let ((_let_142 (ASSUME :args (_let_132)))) (let ((_let_143 (SYMM (SYMM _let_142)))) (let ((_let_144 (= _let_3 _let_67))) (let ((_let_145 (= _let_1 _let_3))) (let ((_let_146 (not _let_69))) (let ((_let_147 (= tptp.one (tptp.join _let_66 _let_3)))) (let ((_let_148 (not _let_147))) (let ((_let_149 (= tptp.zero (tptp.meet _let_66 _let_3)))) (let ((_let_150 (not _let_149))) (let ((_let_151 (or _let_150 _let_148 _let_144))) (let ((_let_152 (tptp.join _let_3 _let_1))) (let ((_let_153 (tptp.meet _let_3 _let_1))) (let ((_let_154 (tptp.join _let_153 tptp.a))) (let ((_let_155 (tptp.meet _let_152 _let_154))) (let ((_let_156 (= _let_155 (tptp.meet _let_154 _let_152)))) (let ((_let_157 (= _let_3 (tptp.join _let_3 (tptp.meet _let_3 _let_40))))) (let ((_let_158 (tptp.meet tptp.b _let_2))) (let ((_let_159 (tptp.meet tptp.a tptp.b))) (let ((_let_160 (tptp.join _let_159 _let_1))) (let ((_let_161 (= _let_160 (tptp.join _let_160 (tptp.meet _let_160 _let_158))))) (let ((_let_162 (= (tptp.join _let_158 _let_3) (tptp.join _let_3 _let_158)))) (let ((_let_163 (tptp.complement _let_2))) (let ((_let_164 (tptp.join _let_3 _let_2))) (let ((_let_165 (= _let_164 (tptp.meet _let_164 (tptp.join _let_164 _let_163))))) (let ((_let_166 (tptp.join _let_3 tptp.a))) (let ((_let_167 (= _let_166 (tptp.join _let_2 _let_35)))) (let ((_let_168 (tptp.meet tptp.a _let_1))) (let ((_let_169 (tptp.meet tptp.a _let_24))) (let ((_let_170 (tptp.join _let_169 _let_168))) (let ((_let_171 (tptp.join tptp.a _let_24))) (let ((_let_172 (= (tptp.meet (tptp.meet _let_171 _let_170) _let_168) (tptp.meet _let_171 (tptp.meet _let_170 _let_168))))) (let ((_let_173 (tptp.join _let_5 _let_5))) (let ((_let_174 (= (tptp.meet (tptp.meet _let_5 _let_173) _let_1) (tptp.meet _let_5 (tptp.meet _let_173 _let_1))))) (let ((_let_175 (= (tptp.meet _let_152 _let_166) (tptp.join _let_3 _let_155)))) (let ((_let_176 (tptp.meet _let_3 _let_2))) (let ((_let_177 (= (tptp.meet _let_164 (tptp.join _let_3 _let_163)) (tptp.join _let_3 (tptp.meet _let_164 (tptp.join _let_176 _let_163)))))) (let ((_let_178 (= _let_3 (tptp.join _let_3 _let_153)))) (let ((_let_179 (tptp.join tptp.a _let_168))) (let ((_let_180 (= tptp.a (tptp.meet tptp.a _let_179)))) (let ((_let_181 (= _let_169 (tptp.meet _let_24 tptp.a)))) (let ((_let_182 (tptp.meet _let_158 _let_3))) (let ((_let_183 (= _let_182 (tptp.meet _let_3 _let_158)))) (let ((_let_184 (= (tptp.join _let_20 _let_18) (tptp.join _let_1 _let_31)))) (let ((_let_185 (= (tptp.join _let_31 _let_163) (tptp.join _let_2 (tptp.join _let_18 _let_163))))) (let ((_let_186 (tptp.join tptp.a tptp.b))) (let ((_let_187 (= (tptp.join _let_186 _let_2) (tptp.join tptp.a _let_22)))) (let ((_let_188 (= tptp.b _let_163))) (let ((_let_189 (= _let_26 (tptp.meet _let_20 _let_1)))) (let ((_let_190 (= _let_182 (tptp.meet tptp.b _let_18)))) (let ((_let_191 (tptp.join _let_2 tptp.b))) (let ((_let_192 (= _let_22 _let_191))) (let ((_let_193 (tptp.join tptp.b _let_5))) (let ((_let_194 (= _let_193 (tptp.join _let_5 tptp.b)))) (let ((_let_195 (= _let_18 _let_176))) (let 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_192 false _let_13)))) (let ((_let_213 (and _let_23 _let_192))) (let ((_let_214 (ASSUME :args (_let_192)))) (let ((_let_215 (SYMM _let_214))) (let ((_let_216 (SYMM _let_215))) (let ((_let_217 (ASSUME :args (_let_23)))) (let ((_let_218 (SYMM _let_217))) (let ((_let_219 (SYMM _let_218))) (let ((_let_220 (= _let_158 _let_208))) (let ((_let_221 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_136)) _let_135 :args (_let_201 false _let_134)))) (let ((_let_222 (and _let_201 _let_220))) (let ((_let_223 (ASSUME :args (_let_220)))) (let ((_let_224 (ASSUME :args (_let_201)))) (let ((_let_225 (SYMM _let_224))) (let ((_let_226 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.b _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE 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_let_32 _let_37 _let_132 _let_131))) :args (true _let_343)) _let_76 _let_92 _let_99 _let_138 _let_133 :args (_let_149 false _let_19 false _let_32 false _let_37 false _let_132 false _let_131)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_233)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_235 _let_237 _let_242 _let_244 _let_248 _let_254 _let_273 _let_270 _let_268 _let_258 _let_255 _let_214 _let_217 _let_260 _let_264 _let_279 _let_283 _let_285 _let_287 _let_71 _let_291 _let_334 _let_323 _let_326 _let_329 _let_224 _let_299 _let_307 _let_308 _let_311 _let_315 _let_319 _let_332 _let_321 _let_296 _let_297 _let_303 _let_304 _let_306 _let_338 _let_126 _let_128) (SCOPE (TRANS _let_129 _let_127 (CONG _let_336 (TRANS _let_342 _let_340 (CONG (TRANS _let_239 _let_246) _let_240 :args _let_234) _let_337 _let_235 _let_251 _let_243 _let_250 _let_248 (SYMM _let_253) _let_254 (SYMM _let_278) _let_280 (SYMM _let_282) (SYMM _let_286) (SYMM _let_277) _let_287 (SYMM _let_295) (SYMM _let_335)) :args _let_234) (CONG _let_336 (TRANS _let_335 _let_295 (SYMM _let_287) _let_277 _let_286 _let_282 (SYMM _let_280) _let_278 (SYMM _let_254) _let_253 (SYMM _let_248) _let_247 (SYMM _let_243) _let_241 _let_236) :args _let_234)) :args (_let_21 _let_32 _let_184 _let_19 _let_165 _let_177 _let_178 _let_189 _let_27 _let_195 _let_188 _let_192 _let_23 _let_25 _let_36 _let_175 _let_167 _let_185 _let_156 _let_17 _let_202 _let_161 _let_203 _let_194 _let_187 _let_201 _let_200 _let_180 _let_198 _let_197 _let_174 _let_199 _let_172 _let_181 _let_157 _let_196 _let_183 _let_190 _let_162 _let_37 _let_121 _let_122))) :args (_let_17 _let_19 _let_203 _let_202 _let_21 _let_23 _let_25 _let_201 _let_200 _let_199 _let_27 _let_198 _let_197 _let_32 _let_196 _let_195 _let_36 _let_194 _let_192 _let_190 _let_189 _let_37 _let_188 _let_187 _let_185 _let_184 _let_183 _let_181 _let_180 _let_178 _let_177 _let_175 _let_174 _let_172 _let_167 _let_165 _let_162 _let_161 _let_157 _let_156 _let_122 _let_121))) :args (true _let_233)) _let_71 _let_76 _let_232 _let_231 _let_80 _let_85 _let_86 _let_221 _let_230 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_199 false _let_72)) _let_87 _let_229 _let_228 _let_92 _let_227 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_2 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_195 false _let_14)) _let_96 _let_226 _let_212 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.b _let_2 _let_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_104)) _let_105 :args (_let_190 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_1 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_189 false _let_14)) _let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_211)) :args ((or _let_210 _let_207 _let_188 (not _let_211)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_222)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_223 _let_224) (SCOPE (TRANS (SYMM _let_225) (SYMM (SYMM _let_223))) :args (_let_220 _let_201))) :args (_let_201 _let_220))) :args (true _let_222)) _let_221 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_220 false _let_14)) :args (_let_209 false _let_201 false _let_220)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_213)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_214 _let_217) (SCOPE (TRANS _let_219 _let_216) :args (_let_192 _let_23))) :args (_let_23 _let_192))) :args (true _let_213)) _let_85 _let_212 :args (_let_206 false _let_23 false _let_192)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_2 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_119)) _let_118 :args (_let_211 false _let_117)) :args (_let_188 false _let_209 false _let_206 false _let_211)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.a tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_97)) _let_98 :args (_let_187 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_2 _let_18 _let_163 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_97)) _let_98 :args (_let_185 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_1 _let_2 _let_18 QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_97)) _let_98 :args (_let_184 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_158 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_183 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.a _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_181 false _let_14)) _let_205 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_178 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_3 _let_2 _let_163 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_177 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_3 _let_1 tptp.a QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_175 false _let_7)) _let_204 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_171 _let_170 _let_168 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_172 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_2 _let_1 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_97)) _let_98 :args (_let_167 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_164 _let_163 QUANTIFIERS_INST_CBQI_PROP)) :args _let_74)) _let_73 :args (_let_165 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_158 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_162 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_160 _let_158 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_161 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_3 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_157 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_152 _let_154 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_156 false _let_14)) _let_124 _let_123 :args (_let_147 false _let_17 false _let_19 false _let_203 false _let_202 false _let_21 false _let_23 false _let_25 false _let_201 false _let_200 false _let_199 false _let_27 false _let_198 false _let_197 false _let_32 false _let_196 false _let_195 false _let_36 false _let_194 false _let_192 false _let_190 false _let_189 false _let_37 false _let_188 false _let_187 false _let_185 false _let_184 false _let_183 false _let_181 false _let_180 false _let_178 false _let_177 false _let_175 false _let_174 false _let_172 false _let_167 false _let_165 false _let_162 false _let_161 false _let_157 false _let_156 false _let_122 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_66 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet X Y)))) :args _let_119)) _let_118 :args (_let_151 false _let_117)) :args (_let_144 false _let_149 false _let_147 false _let_151)) :args (_let_146 true _let_145 false _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_115 _let_112 _let_68 (not _let_116)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_139)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_140 _let_142) (SCOPE (TRANS _let_143 _let_141) :args (_let_131 _let_132))) :args (_let_132 _let_131))) :args (true _let_139)) _let_138 _let_133 :args (_let_114 false _let_132 false _let_131)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_125)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_126 _let_128) (SCOPE (TRANS _let_129 _let_127) :args (_let_121 _let_122))) :args (_let_122 _let_121))) :args (true _let_125)) _let_124 _let_123 :args (_let_111 false _let_122 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_66 _let_65 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X Y)))) :args _let_119)) _let_118 :args (_let_116 false _let_117)) :args (_let_68 false _let_114 false _let_111 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_59 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_64 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_1 _let_56 _let_33 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_97)) _let_98 :args (_let_63 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_1 tptp.a _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_97))) _let_98 :args (_let_62 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_1 _let_46 _let_2 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_104)) _let_105 :args (_let_61 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_1 _let_33 _let_45 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_58 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_2 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_55 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_1 _let_26 _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_54 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_28 _let_2 _let_5 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_97)) _let_98 :args (_let_53 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_2 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_52 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_1 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_50 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_2 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_49 false _let_13)) _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_44 false _let_88)) _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_39 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.b _let_2 _let_18 QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_97)) _let_98 :args (_let_38 false _let_11)) _let_99 _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_34 false _let_14)) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_30 false _let_88)) _let_87 _let_86 _let_85 _let_80 _let_76 _let_71 :args (false false _let_70 true _let_69 false _let_68 false _let_64 false _let_63 false _let_62 false _let_61 false _let_58 false _let_55 false _let_54 false _let_53 false _let_52 false _let_50 false _let_49 false _let_47 false _let_44 false _let_42 false _let_39 false _let_38 false _let_37 false _let_36 false _let_34 false _let_32 false _let_30 false _let_27 false _let_25 false _let_23 false _let_21 false _let_19 false _let_17)) :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 _let_8 _let_7 _let_6 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.71/27.94  )
% 27.71/27.94  % SZS output end Proof for LAT247-1
% 27.71/27.94  % cvc5---1.0.5 exiting
% 27.71/27.95  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------