TSTP Solution File: LAT240-1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT240-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 06:03:18 EDT 2023

% Result   : Unsatisfiable 0.74s 0.98s
% Output   : Proof 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT240-1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n029.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 07:38:23 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JLMXTz8tOA/cvc5---1.0.5_11964.p...
% 0.20/0.49  ------- get file name : TPTP file name is LAT240-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11964.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.74/0.98  % SZS status Unsatisfiable for LAT240-1
% 0.74/0.98  % SZS output start Proof for LAT240-1
% 0.74/0.99  (
% 0.74/0.99  (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 $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join X U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join X (tptp.meet Z (tptp.join Y U)))))))))) (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 (forall ((X $$unsorted)) (= (tptp.join X X) X)))) (let ((_let_18 (forall ((X $$unsorted)) (= (tptp.meet X X) X)))) (let ((_let_19 (= tptp.a _let_5))) (let ((_let_20 (tptp.meet _let_2 _let_3))) (let ((_let_21 (= _let_2 _let_20))) (let ((_let_22 (tptp.join tptp.b _let_5))) (let ((_let_23 (= tptp.b _let_22))) (let ((_let_24 (tptp.join _let_1 _let_2))) (let ((_let_25 (= _let_3 _let_24))) (let ((_let_26 (tptp.join tptp.b _let_2))) (let ((_let_27 (= tptp.one _let_26))) (let ((_let_28 (tptp.join tptp.a _let_1))) (let ((_let_29 (= tptp.one _let_28))) (let ((_let_30 (= tptp.a (tptp.meet tptp.a _let_28)))) (let ((_let_31 (= _let_1 (tptp.meet _let_1 _let_24)))) (let ((_let_32 (= _let_2 (tptp.join _let_2 _let_20)))) (let ((_let_33 (tptp.meet _let_2 _let_1))) (let ((_let_34 (= _let_33 (tptp.meet _let_1 _let_2)))) (let ((_let_35 (tptp.join _let_1 tptp.a))) (let ((_let_36 (= _let_28 _let_35))) (let ((_let_37 (tptp.join _let_5 tptp.b))) (let ((_let_38 (= _let_22 _let_37))) (let ((_let_39 (tptp.complement _let_2))) (let ((_let_40 (tptp.join _let_2 _let_39))) (let ((_let_41 (= tptp.one _let_40))) (let ((_let_42 (tptp.join _let_1 _let_1))) (let ((_let_43 (= _let_1 _let_42))) (let ((_let_44 (tptp.join _let_5 _let_2))) (let ((_let_45 (= _let_5 (tptp.meet _let_5 _let_44)))) (let ((_let_46 (= _let_1 (tptp.meet _let_1 _let_35)))) (let ((_let_47 (tptp.meet _let_2 (tptp.join _let_1 _let_20)))) (let ((_let_48 (tptp.join _let_2 _let_47))) (let ((_let_49 (tptp.meet _let_1 _let_48))) (let ((_let_50 (= _let_1 (tptp.join _let_1 _let_49)))) (let ((_let_51 (= _let_44 (tptp.join _let_2 _let_5)))) (let ((_let_52 (tptp.join tptp.b _let_1))) (let ((_let_53 (= _let_52 (tptp.join _let_1 tptp.b)))) (let ((_let_54 (tptp.join _let_5 _let_52))) (let ((_let_55 (= (tptp.join _let_37 _let_1) _let_54))) (let ((_let_56 (= (tptp.join _let_48 _let_39) (tptp.join _let_2 (tptp.join _let_47 _let_39))))) (let ((_let_57 (= tptp.b _let_39))) (let ((_let_58 (= _let_5 (tptp.meet _let_5 _let_54)))) (let ((_let_59 (tptp.join _let_2 (tptp.meet _let_1 (tptp.join tptp.a (tptp.meet _let_1 _let_3)))))) (let ((_let_60 (= tptp.one (tptp.join tptp.a _let_59)))) (let ((_let_61 (= (tptp.join tptp.a _let_3) (tptp.join _let_3 tptp.a)))) (let ((_let_62 (tptp.meet tptp.a (tptp.join _let_2 (tptp.meet tptp.a (tptp.join _let_1 _let_39)))))) (let ((_let_63 (tptp.join _let_1 _let_62))) (let ((_let_64 (= (tptp.join _let_3 _let_62) (tptp.join _let_2 _let_63)))) (let ((_let_65 (SYMM (ASSUME :args (_let_6))))) (let ((_let_66 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 ((tptp.join X Y)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_21 false _let_66)))) (let ((_let_71 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 ((tptp.meet X Y)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_23 false _let_71)))) (let ((_let_76 (_let_13))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 ((tptp.join X Y)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_25 false _let_13)))) (let ((_let_80 (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 ((tptp.complement X)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_27 false _let_80)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_29 false _let_80)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_30 false _let_66)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_31 false _let_66)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_2 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_32 false _let_71)))) (let ((_let_89 (_let_14))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 ((tptp.meet X Y)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_34 false _let_14)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_36 false _let_13)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.b _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_38 false _let_13)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_41 false _let_80)))) (let ((_let_96 (forall ((X $$unsorted)) (= X (tptp.join X X))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X X)))) :args (_let_96))) _let_97 :args (_let_43 false _let_96)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_5 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_45 false _let_66)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_46 false _let_66)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_5 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_51 false _let_13)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_53 false _let_13)))) (let ((_let_103 (_let_11))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 ((tptp.join (tptp.join X Y) Z)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_5 tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_103)) _let_104 :args (_let_55 false _let_11)))) (let ((_let_107 (tptp.join _let_2 tptp.b))) (let ((_let_108 (= tptp.one _let_107))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.meet _let_2 tptp.b))) (let ((_let_111 (= tptp.zero _let_110))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_109 _let_57))) (let ((_let_114 (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_115 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (_let_114))) (let ((_let_117 ((tptp.meet X Y)))) (let ((_let_118 (= _let_26 _let_107))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_118 false _let_13)))) (let ((_let_120 (and _let_27 _let_118))) (let ((_let_121 (ASSUME :args (_let_118)))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (ASSUME :args (_let_27)))) (let ((_let_124 (SYMM _let_123))) (let ((_let_125 (tptp.meet tptp.b _let_2))) (let ((_let_126 (= _let_125 _let_110))) (let ((_let_127 (= tptp.zero _let_125))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_126 false _let_14)))) (let ((_let_129 (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (_let_129))) (let ((_let_132 ((tptp.complement X)))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_127 false _let_129)))) (let ((_let_134 (and _let_127 _let_126))) (let ((_let_135 (ASSUME :args (_let_126)))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (ASSUME :args (_let_127)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_112 _let_109 _let_57 (not _let_113)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_134)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_135 _let_138) (SCOPE (TRANS _let_140 _let_137) :args (_let_126 _let_127))) :args (_let_127 _let_126))) :args (true _let_134)) _let_133 _let_128 :args (_let_111 false _let_127 false _let_126)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_120)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_121 _let_123) (SCOPE (TRANS (SYMM _let_124) (SYMM _let_122)) :args (_let_118 _let_27))) :args (_let_27 _let_118))) :args (true _let_120)) _let_84 _let_119 :args (_let_108 false _let_27 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_116)) _let_115 :args (_let_113 false _let_114)) :args (_let_57 false _let_111 false _let_108 false _let_113)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_5 _let_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_58 false _let_66)))) (let ((_let_143 (= _let_1 _let_59))) (let ((_let_144 (not _let_60))) (let ((_let_145 (= tptp.zero (tptp.meet tptp.a _let_59)))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_144 _let_143))) (let ((_let_148 (= _let_1 _let_3))) (let ((_let_149 (not _let_143))) (let ((_let_150 (SYMM (ASSUME :args (_let_4))))) (let ((_let_151 (not _let_46))) (let ((_let_152 (not _let_36))) (let ((_let_153 (not _let_31))) (let ((_let_154 (not _let_25))) (let ((_let_155 (not _let_148))) (let ((_let_156 (and _let_155 _let_25 _let_31 _let_36 _let_46))) (let ((_let_157 (APPLY_UF tptp.join))) (let ((_let_158 (ASSUME :args (_let_46)))) (let ((_let_159 (SYMM (SYMM _let_158)))) (let ((_let_160 (APPLY_UF tptp.meet))) (let ((_let_161 (ASSUME :args (_let_36)))) (let ((_let_162 (SYMM _let_161))) (let ((_let_163 (ASSUME :args (_let_31)))) (let ((_let_164 (SYMM (SYMM _let_163)))) (let ((_let_165 (ASSUME :args (_let_25)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (REFL :args (_let_1)))) (let ((_let_168 (REFL :args (tptp.a)))) (let ((_let_169 (CONG _let_168 (TRANS (CONG _let_167 (SYMM _let_166) :args _let_160) (SYMM _let_164)) :args _let_157))) (let ((_let_170 (CONG _let_167 (SYMM _let_169) :args _let_160))) (let ((_let_171 (REFL :args (_let_2)))) (let ((_let_172 (tptp.meet _let_2 _let_63))) (let ((_let_173 (= (tptp.meet _let_5 (tptp.join _let_1 (tptp.meet _let_2 (tptp.join _let_5 _let_62)))) (tptp.meet _let_5 (tptp.join _let_1 (tptp.meet _let_2 (tptp.join _let_5 _let_172))))))) (let ((_let_174 (= (tptp.join (tptp.join _let_1 _let_5) tptp.b) (tptp.join _let_1 _let_37)))) (let ((_let_175 (tptp.join _let_2 (tptp.meet _let_125 _let_52)))) (let ((_let_176 (tptp.meet tptp.b _let_175))) (let ((_let_177 (tptp.meet tptp.a tptp.b))) (let ((_let_178 (= (tptp.meet _let_177 _let_175) (tptp.meet tptp.a _let_176)))) (let ((_let_179 (tptp.join _let_2 (tptp.meet _let_125 _let_28)))) (let ((_let_180 (= (tptp.meet tptp.a _let_179) (tptp.meet _let_179 tptp.a)))) (let ((_let_181 (tptp.meet _let_125 _let_3))) (let ((_let_182 (tptp.join tptp.a _let_181))) (let ((_let_183 (= (tptp.meet _let_125 _let_182) (tptp.meet _let_182 _let_125)))) (let ((_let_184 (tptp.meet _let_26 tptp.b))) (let ((_let_185 (= _let_26 (tptp.join _let_26 _let_184)))) (let ((_let_186 (tptp.join _let_1 (tptp.meet tptp.a _let_40)))) (let ((_let_187 (tptp.meet tptp.a _let_186))) (let ((_let_188 (= _let_2 (tptp.meet _let_2 (tptp.join _let_2 _let_187))))) (let ((_let_189 (tptp.meet tptp.a _let_1))) (let ((_let_190 (= _let_189 (tptp.meet _let_189 (tptp.join _let_189 _let_5))))) (let ((_let_191 (= _let_176 (tptp.meet tptp.b (tptp.join _let_2 (tptp.meet _let_125 (tptp.join tptp.b _let_181))))))) (let ((_let_192 (= (tptp.meet tptp.a (tptp.join _let_2 (tptp.meet tptp.b _let_28))) (tptp.meet tptp.a (tptp.join _let_2 (tptp.meet tptp.b (tptp.join tptp.a (tptp.meet tptp.b _let_3)))))))) (let ((_let_193 (= (tptp.meet _let_2 _let_186) _let_172))) (let ((_let_194 (tptp.meet tptp.b _let_26))) (let ((_let_195 (= (tptp.meet _let_110 _let_26) (tptp.meet _let_2 _let_194)))) (let ((_let_196 (tptp.join tptp.b _let_125))) (let ((_let_197 (= _let_196 (tptp.join _let_125 tptp.b)))) (let ((_let_198 (tptp.join tptp.a _let_189))) (let ((_let_199 (= _let_198 (tptp.join _let_189 tptp.a)))) (let ((_let_200 (tptp.meet tptp.b tptp.b))) (let ((_let_201 (tptp.meet _let_200 _let_189))) (let ((_let_202 (= _let_201 (tptp.meet _let_189 _let_200)))) (let ((_let_203 (= _let_194 _let_184))) (let ((_let_204 (= _let_2 (tptp.join _let_2 _let_110)))) (let ((_let_205 (tptp.meet _let_1 tptp.a))) (let ((_let_206 (= _let_1 (tptp.join _let_1 _let_205)))) (let 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(CONG _let_276 _let_331 :args _let_160) (SYMM _let_332)) :args _let_157)) :args _let_160)) :args _let_157) (CONG _let_284 (CONG _let_168 (CONG _let_171 _let_332 :args _let_157) :args _let_160) :args _let_157)) :args _let_160)) :args _let_157)) :args _let_160) (SYMM (SYMM _let_316)) (CONG _let_284 (TRANS (CONG _let_167 (TRANS (CONG _let_171 (TRANS (CONG _let_284 (TRANS (SYMM _let_315) (CONG _let_171 (TRANS (SYMM _let_274) _let_162 _let_270 _let_123 (SYMM _let_314)) :args _let_160) (CONG _let_171 (TRANS _let_314 _let_121) :args _let_160) (SYMM _let_313)) :args _let_157) _let_286) :args _let_160) _let_305) :args _let_157) (SYMM _let_306)) :args _let_160) (CONG (TRANS _let_276 (SYMM _let_312)) (REFL :args ((tptp.join _let_1 (tptp.meet _let_2 (tptp.join _let_5 _let_212))))) :args _let_160) (CONG _let_312 (TRANS _let_306 (CONG _let_167 (TRANS _let_304 (CONG _let_171 (TRANS _let_285 _let_280 _let_277) :args _let_160) (SYMM _let_265) _let_262) :args _let_157) _let_264 _let_166 _let_259) :args _let_160) (CONG _let_168 _let_258 :args _let_160)) :args (_let_25 _let_31 _let_30 _let_29 _let_27 _let_118 _let_223 _let_192 _let_36 _let_46 _let_21 _let_188 _let_41 _let_19 _let_51 _let_213 _let_208 _let_32 _let_220 _let_34 _let_211 _let_43 _let_207 _let_193 _let_173 _let_204 _let_126 _let_127 _let_214 _let_195 _let_57 _let_53 _let_23 _let_38 _let_55 _let_58 _let_45 _let_227 _let_221 _let_180 _let_185 _let_203 _let_174 _let_219 _let_197 _let_178 _let_191 _let_225 _let_215 _let_224 _let_202 _let_217 _let_226 _let_222 _let_183 _let_199 _let_190 _let_218 _let_206))) :args (_let_19 _let_21 _let_23 _let_227 _let_25 _let_226 _let_27 _let_29 _let_127 _let_225 _let_224 _let_30 _let_31 _let_223 _let_222 _let_221 _let_220 _let_32 _let_219 _let_218 _let_34 _let_126 _let_36 _let_38 _let_118 _let_217 _let_215 _let_41 _let_214 _let_213 _let_211 _let_43 _let_45 _let_46 _let_208 _let_207 _let_206 _let_204 _let_203 _let_202 _let_199 _let_51 _let_197 _let_53 _let_195 _let_55 _let_57 _let_193 _let_192 _let_191 _let_190 _let_58 _let_188 _let_185 _let_183 _let_180 _let_178 _let_174 _let_173))) :args (true _let_254)) :args ((or _let_253 _let_252 _let_251 (not _let_227) _let_154 (not _let_226) _let_250 _let_249 (not _let_127) (not _let_225) (not _let_224) _let_248 _let_153 (not _let_223) (not _let_222) (not _let_221) (not _let_220) _let_247 (not _let_219) (not _let_218) _let_246 (not _let_126) _let_152 _let_245 (not _let_118) (not _let_217) (not _let_215) _let_244 (not _let_214) (not _let_213) (not _let_211) _let_243 _let_242 _let_151 (not _let_208) (not _let_207) (not _let_206) (not _let_204) (not _let_203) (not _let_202) (not _let_199) _let_241 (not _let_197) _let_240 (not _let_195) _let_239 _let_238 (not _let_193) (not _let_192) (not _let_191) _let_145 (not _let_190) _let_237 (not _let_188) (not _let_185) (not _let_183) (not _let_180) (not _let_178) (not _let_174) (not _let_173)))) _let_65 _let_70 _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_227 false _let_14)) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (tptp.b tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_233)) :args _let_231)) _let_232 :args (_let_226 false _let_12)) _let_84 _let_85 _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_225 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_236 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet X X)))) :args (_let_235))) _let_236 :args (_let_224 false _let_235)) _let_86 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_223 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_222 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_221 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_220 false _let_71)) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_219 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_218 false _let_14)) _let_92 _let_128 _let_93 _let_94 _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (_let_200 tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.meet (tptp.meet X Y) Z)))) :args _let_231)) _let_232 :args (_let_217 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (tptp.b _let_2 _let_3 QUANTIFIERS_INST_E_MATCHING _let_233)) :args _let_231)) _let_232 :args (_let_215 false _let_12)) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_214 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_229 :args (_let_2 _let_1 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_234)) :args _let_228)) _let_229 :args (_let_213 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_229 :args (_let_1 _let_2 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_228)) _let_229 :args (_let_211 false _let_7)) _let_98 _let_99 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_2 _let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_208 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_207 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_206 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_204 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.b _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_203 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_200 _let_189 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_202 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.a _let_189 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_199 false _let_13)) _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.b _let_125 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_197 false _let_13)) _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (_let_2 tptp.b _let_26 QUANTIFIERS_INST_E_MATCHING _let_233)) :args _let_231)) _let_232 :args (_let_195 false _let_12)) _let_106 _let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_229 :args (_let_2 _let_1 tptp.a _let_39 QUANTIFIERS_INST_E_MATCHING _let_234)) :args _let_228)) _let_229 :args (_let_193 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_229 :args (tptp.a _let_2 tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING _let_234)) :args _let_228)) _let_229 :args (_let_192 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_229 :args (tptp.b _let_2 _let_125 _let_1 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_228)) _let_229 :args (_let_191 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_189 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_190 false _let_66)) _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_2 _let_187 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_188 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_26 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_185 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_125 _let_182 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_183 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.a _let_179 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_180 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (tptp.a tptp.b _let_175 QUANTIFIERS_INST_E_MATCHING _let_233)) :args _let_231)) _let_232 :args (_let_178 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_1 _let_5 tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.join X (tptp.join Y Z))))) :args _let_103)) _let_104 :args (_let_174 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_229 :args (_let_5 _let_1 _let_2 _let_62 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_228)) _let_229 :args (_let_173 false _let_7)) :args (_let_145 false _let_19 false _let_21 false _let_23 false _let_227 false _let_25 false _let_226 false _let_27 false _let_29 false _let_127 false _let_225 false _let_224 false _let_30 false _let_31 false _let_223 false _let_222 false _let_221 false _let_220 false _let_32 false _let_219 false _let_218 false _let_34 false _let_126 false _let_36 false _let_38 false _let_118 false _let_217 false _let_215 false _let_41 false _let_214 false _let_213 false _let_211 false _let_43 false _let_45 false _let_46 false _let_208 false _let_207 false _let_206 false _let_204 false _let_203 false _let_202 false _let_199 false _let_51 false _let_197 false _let_53 false _let_195 false _let_55 false _let_57 false _let_193 false _let_192 false _let_191 false _let_190 false _let_58 false _let_188 false _let_185 false _let_183 false _let_180 false _let_178 false _let_174 false _let_173)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_156)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_150 _let_158 _let_161 _let_163 _let_165) (SCOPE (FALSE_ELIM (TRANS (CONG _let_167 (TRANS (CONG _let_171 (SYMM _let_170) :args _let_157) (CONG _let_171 (TRANS _let_170 (CONG _let_167 (TRANS _let_169 (SYMM _let_162)) :args _let_160) (SYMM _let_159)) :args _let_157)) :args (=)) (FALSE_INTRO _let_150))) :args (_let_155 _let_46 _let_36 _let_31 _let_25))) :args (_let_155 _let_25 _let_31 _let_36 _let_46))) :args (true _let_156)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_155) _let_148))) (REFL :args (_let_154)) (REFL :args (_let_153)) (REFL :args (_let_152)) (REFL :args (_let_151)) (REFL :args (_let_149)) :args (or))) _let_150 _let_79 _let_87 _let_93 _let_100 :args (_let_149 true _let_148 false _let_25 false _let_31 false _let_36 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.a _let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_116))) _let_115 :args (_let_147 false _let_114)) :args (_let_144 false _let_145 true _let_143 false _let_147)) _let_142 _let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_2 _let_47 _let_39 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_103)) _let_104 :args (_let_56 false _let_11)) _let_106 _let_102 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_1 _let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_50 false _let_71)) _let_100 _let_99 _let_98 _let_95 _let_94 _let_93 _let_92 _let_88 _let_87 _let_86 _let_85 _let_84 _let_79 _let_75 _let_70 _let_65 :args (false false _let_64 false _let_61 true _let_60 false _let_58 false _let_57 false _let_56 false _let_55 false _let_53 false _let_51 false _let_50 false _let_46 false _let_45 false _let_43 false _let_41 false _let_38 false _let_36 false _let_34 false _let_32 false _let_31 false _let_30 false _let_29 false _let_27 false _let_25 false _let_23 false _let_21 false _let_19)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.74/0.99  )
% 0.74/0.99  % SZS output end Proof for LAT240-1
% 0.74/1.00  % cvc5---1.0.5 exiting
% 0.86/1.00  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------