TSTP Solution File: LAT253-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT253-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 06:03:21 EDT 2023
% Result : Unsatisfiable 3.03s 3.22s
% Output : Proof 3.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT253-1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 04:15:07 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.P6p1XhFPGQ/cvc5---1.0.5_29631.p...
% 0.21/0.50 ------- get file name : TPTP file name is LAT253-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29631.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.03/3.22 % SZS status Unsatisfiable for LAT253-1
% 3.03/3.22 % SZS output start Proof for LAT253-1
% 3.03/3.23 (
% 3.03/3.23 (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 Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet X Y))))))))) (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 (= _let_1 _let_3))) (let ((_let_21 (tptp.meet _let_2 _let_3))) (let ((_let_22 (= _let_2 _let_21))) (let ((_let_23 (tptp.join tptp.b _let_5))) (let ((_let_24 (= tptp.b _let_23))) (let ((_let_25 (tptp.join _let_1 _let_2))) (let ((_let_26 (= _let_3 _let_25))) (let ((_let_27 (tptp.join tptp.b _let_2))) (let ((_let_28 (= tptp.one _let_27))) (let ((_let_29 (tptp.join tptp.a _let_1))) (let ((_let_30 (= tptp.one _let_29))) (let ((_let_31 (tptp.meet tptp.b _let_2))) (let ((_let_32 (= tptp.zero _let_31))) (let ((_let_33 (tptp.meet tptp.a _let_1))) (let ((_let_34 (= tptp.zero _let_33))) (let ((_let_35 (tptp.meet tptp.b _let_27))) (let ((_let_36 (= tptp.b _let_35))) (let ((_let_37 (tptp.meet _let_2 _let_1))) (let ((_let_38 (tptp.join _let_2 _let_37))) (let ((_let_39 (= _let_2 _let_38))) (let ((_let_40 (tptp.meet _let_1 tptp.a))) (let ((_let_41 (= _let_33 _let_40))) (let ((_let_42 (tptp.meet _let_2 tptp.b))) (let ((_let_43 (= _let_31 _let_42))) (let ((_let_44 (tptp.join _let_1 tptp.a))) (let ((_let_45 (= _let_29 _let_44))) (let ((_let_46 (= _let_23 (tptp.join _let_5 tptp.b)))) (let ((_let_47 (= _let_38 (tptp.meet _let_38 _let_38)))) (let ((_let_48 (= _let_1 (tptp.join _let_1 _let_40)))) (let ((_let_49 (tptp.meet _let_1 _let_2))) (let ((_let_50 (tptp.join _let_1 _let_49))) (let ((_let_51 (= _let_1 _let_50))) (let ((_let_52 (= (tptp.meet _let_42 _let_27) (tptp.meet _let_2 _let_35)))) (let ((_let_53 (= _let_50 (tptp.meet _let_50 _let_50)))) (let ((_let_54 (tptp.meet _let_27 _let_33))) (let ((_let_55 (= _let_27 (tptp.join _let_27 _let_54)))) (let ((_let_56 (= _let_54 (tptp.meet _let_33 _let_27)))) (let ((_let_57 (tptp.complement _let_3))) (let ((_let_58 (tptp.join _let_3 _let_57))) (let ((_let_59 (= tptp.one _let_58))) (let ((_let_60 (= _let_3 (tptp.meet _let_3 _let_58)))) (let ((_let_61 (tptp.join _let_27 (tptp.meet _let_2 (tptp.join tptp.a _let_35))))) (let ((_let_62 (tptp.join _let_1 (tptp.meet _let_2 _let_38)))) (let ((_let_63 (tptp.meet _let_62 (tptp.join _let_61 _let_31)))) (let ((_let_64 (= _let_63 (tptp.complement _let_57)))) (let ((_let_65 (= tptp.a (tptp.complement _let_25)))) (let ((_let_66 (SYMM (ASSUME :args (_let_6))))) (let ((_let_67 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (_let_67))) (let ((_let_70 ((tptp.join X Y)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_22 false _let_67)))) (let ((_let_72 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 ((tptp.meet X Y)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_24 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_26 false _let_13)))) (let ((_let_81 (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.complement X)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_28 false _let_81)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_30 false _let_81)))) (let ((_let_87 (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 ((tptp.complement X)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_32 false _let_87)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_34 false _let_87)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_36 false _let_67)))) (let ((_let_94 (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_39 false _let_72)))) (let ((_let_95 (_let_14))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 ((tptp.meet X Y)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95)) _let_96 :args (_let_41 false _let_14)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95)) _let_96 :args (_let_43 false _let_14)))) (let ((_let_100 (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_45 false _let_13)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.b _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_46 false _let_13)))) (let ((_let_102 (forall ((X $$unsorted)) (= X (tptp.meet X X))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (_let_102))) (let ((_let_105 ((tptp.meet X X)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_104)) _let_103 :args (_let_47 false _let_102)))) (let ((_let_107 (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_48 false _let_72)))) (let ((_let_108 (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_51 false _let_72)))) (let ((_let_109 (_let_12))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 ((tptp.meet X (tptp.meet Y Z))))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_2 tptp.b _let_27 QUANTIFIERS_INST_E_MATCHING _let_111)) :args _let_109)) _let_110 :args (_let_52 false _let_12)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_104)) _let_103 :args (_let_53 false _let_102)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_27 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_55 false _let_72)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_27 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95)) _let_96 :args (_let_56 false _let_14)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_59 false _let_81)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_3 _let_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_60 false _let_67)))) (let ((_let_118 (= tptp.one (tptp.join _let_57 _let_63)))) (let ((_let_119 (not _let_118))) (let ((_let_120 (= tptp.zero (tptp.meet _let_57 _let_63)))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_119 _let_64))) (let ((_let_123 (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_124 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 (= _let_58 (tptp.join _let_57 _let_3)))) (let ((_let_127 (and _let_19 _let_22 _let_24 _let_26 _let_28 _let_30 _let_32 _let_34 _let_36 _let_39 _let_41 _let_43 _let_45 _let_46 _let_47 _let_48 _let_51 _let_52 _let_53 _let_55 _let_56 _let_59 _let_60 _let_126))) (let ((_let_128 (APPLY_UF tptp.join))) (let ((_let_129 (APPLY_UF tptp.meet))) (let ((_let_130 (ASSUME :args (_let_43)))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (ASSUME :args (_let_24)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (ASSUME :args (_let_46)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (REFL :args (tptp.b)))) (let ((_let_137 (SYMM (SYMM _let_66)))) (let ((_let_138 (CONG _let_137 _let_136 :args _let_128))) (let ((_let_139 (ASSUME :args (_let_36)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (REFL :args (tptp.a)))) (let ((_let_144 (REFL :args (_let_2)))) (let ((_let_145 (CONG _let_144 (TRANS (CONG _let_143 _let_142 :args _let_128) _let_138 _let_135 _let_133) :args _let_129))) (let ((_let_146 (TRANS _let_145 _let_131))) (let ((_let_147 (REFL :args (_let_27)))) (let ((_let_148 (CONG _let_147 (SYMM _let_146) :args _let_128))) (let ((_let_149 (ASSUME :args (_let_52)))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (ASSUME :args (_let_32)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (SYMM _let_152))) (let ((_let_154 (ASSUME :args (_let_34)))) (let ((_let_155 (SYMM (SYMM _let_154)))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (ASSUME :args (_let_56)))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (CONG _let_147 (TRANS (SYMM _let_158) (CONG (TRANS (TRANS _let_156 _let_153) _let_130) _let_147 :args _let_129) (SYMM _let_150) (CONG _let_144 _let_142 :args _let_129) (SYMM _let_145)) :args _let_128))) (let ((_let_160 (ASSUME :args (_let_55)))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (SYMM _let_161))) (let ((_let_163 (ASSUME :args (_let_28)))) (let ((_let_164 (SYMM _let_163))) (let ((_let_165 (ASSUME :args (_let_30)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (ASSUME :args (_let_45)))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (ASSUME :args (_let_39)))) (let ((_let_170 (SYMM _let_169))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (CONG _let_144 _let_171 :args _let_129))) (let ((_let_173 (REFL :args (_let_1)))) (let ((_let_174 (REFL :args (_let_38)))) (let ((_let_175 (ASSUME :args (_let_47)))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (ASSUME :args (_let_22)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (ASSUME :args (_let_26)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (ASSUME :args (_let_51)))) (let ((_let_183 (ASSUME :args (_let_53)))) (let ((_let_184 (ASSUME :args (_let_48)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (ASSUME :args (_let_41)))) (let ((_let_187 (SYMM (SYMM _let_186)))) (let ((_let_188 (CONG _let_173 (TRANS (CONG _let_173 (TRANS _let_152 _let_155 _let_187) :args _let_128) _let_185 _let_182) :args _let_129))) (let ((_let_189 (TRANS (CONG _let_144 (SYMM _let_188) :args _let_128) (CONG _let_144 (TRANS _let_188 (CONG _let_182 (REFL :args (_let_50)) :args _let_129) (SYMM _let_183) (SYMM _let_182)) :args _let_128)))) (let ((_let_190 (ASSUME :args (_let_59)))) (let ((_let_191 (SYMM (SYMM _let_190)))) (let ((_let_192 (SYMM _let_189))) (let ((_let_193 (ASSUME :args (_let_60)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (TRANS (SYMM _let_194) (CONG _let_192 (TRANS (SYMM _let_191) _let_165 _let_167) :args _let_129) (CONG (TRANS _let_189 (TRANS _let_181 (CONG _let_173 _let_177 :args _let_128) (CONG _let_173 (TRANS _let_178 _let_171 (SYMM _let_176) (CONG _let_170 _let_174 :args _let_129) (SYMM _let_172)) :args _let_128) (CONG _let_173 _let_172 :args _let_128))) (TRANS _let_168 _let_166 (SYMM _let_164) _let_162 _let_159 (CONG (TRANS (TRANS _let_162 _let_159 (SYMM _let_148)) _let_148) _let_146 :args _let_128)) :args _let_129)))) (let ((_let_196 (REFL :args (_let_57)))) (let ((_let_197 (ASSUME :args (_let_126)))) (let ((_let_198 (tptp.meet _let_3 _let_57))) (let ((_let_199 (= _let_198 (tptp.meet _let_57 _let_3)))) (let ((_let_200 (= tptp.zero _let_198))) (let ((_let_201 (and _let_19 _let_22 _let_24 _let_26 _let_28 _let_30 _let_32 _let_34 _let_36 _let_39 _let_41 _let_43 _let_45 _let_46 _let_47 _let_48 _let_51 _let_52 _let_53 _let_55 _let_56 _let_59 _let_200 _let_60 _let_199))) (let ((_let_202 (ASSUME :args (_let_199)))) (let ((_let_203 (ASSUME :args (_let_200)))) (let ((_let_204 (= tptp.one (tptp.join _let_25 tptp.a)))) (let ((_let_205 (not _let_204))) (let ((_let_206 (tptp.meet _let_25 tptp.a))) (let ((_let_207 (= tptp.zero _let_206))) (let ((_let_208 (not _let_207))) (let ((_let_209 (or _let_208 _let_205 _let_65))) (let ((_let_210 (tptp.meet _let_2 _let_62))) (let ((_let_211 (tptp.join _let_62 (tptp.meet _let_1 (tptp.join _let_2 _let_210))))) (let ((_let_212 (tptp.meet _let_2 _let_211))) (let ((_let_213 (tptp.join _let_5 _let_2))) (let ((_let_214 (tptp.meet _let_5 (tptp.join _let_213 _let_212)))) (let ((_let_215 (= (tptp.join _let_3 _let_214) (tptp.join _let_2 (tptp.join _let_1 _let_214))))) (let ((_let_216 (tptp.join _let_62 _let_2))) (let ((_let_217 (= (tptp.meet _let_2 (tptp.join _let_62 (tptp.meet _let_1 _let_216))) _let_212))) (let ((_let_218 (tptp.join _let_2 _let_21))) (let ((_let_219 (= (tptp.join _let_213 _let_21) (tptp.join 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_366 false _let_67)) _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_1 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_365 false _let_72)) _let_245 _let_244 _let_243 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.a _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_364 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_2 _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_362 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.a _let_313 _let_1 QUANTIFIERS_INST_E_MATCHING _let_380)) :args _let_109)) _let_110 :args (_let_361 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_2 _let_1 _let_25 QUANTIFIERS_INST_E_MATCHING _let_111)) :args _let_109)) _let_110 :args (_let_360 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (tptp.b _let_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_242)) :args _let_234)) _let_235 :args (_let_359 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (_let_1 tptp.a _let_357 QUANTIFIERS_INST_E_MATCHING _let_242)) :args _let_234)) _let_235 :args (_let_358 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (_let_2 tptp.a tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING _let_383)) :args _let_237)) _let_238 :args (_let_353 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (tptp.b _let_27 _let_2 tptp.a QUANTIFIERS_INST_E_MATCHING _let_240)) :args _let_237)) _let_238 :args (_let_352 false _let_7)) _let_241 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (tptp.a _let_313 _let_1 tptp.a QUANTIFIERS_INST_E_MATCHING _let_240)) :args _let_237)) _let_238 :args (_let_351 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (_let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X X)))) :args (_let_381))) _let_382 :args (_let_349 false _let_381)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_33 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_348 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_3 _let_336 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_347 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_313 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_346 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.b _let_216 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_344 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.a _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95)) _let_96 :args (_let_343 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95))) _let_96 :args (_let_342 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_1 _let_314 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95)) _let_96 :args (_let_341 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_25 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95)) _let_96 :args (_let_340 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_62 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95)) _let_96 :args (_let_339 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_3 _let_336 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95)) _let_96 :args (_let_338 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.a _let_316 _let_2 QUANTIFIERS_INST_E_MATCHING _let_380)) :args _let_109)) _let_110 :args (_let_335 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_25 tptp.a _let_316 QUANTIFIERS_INST_E_MATCHING _let_111)) :args _let_109)) _let_110 :args (_let_334 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (tptp.b _let_331 _let_2 tptp.a QUANTIFIERS_INST_E_MATCHING _let_240)) :args _let_237)) _let_238 :args (_let_333 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (tptp.a _let_316 _let_25 _let_33 QUANTIFIERS_INST_E_MATCHING _let_240)) :args _let_237)) _let_238 :args (_let_329 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_206 _let_316 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95)) _let_96 :args (_let_328 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.a _let_323 _let_322 QUANTIFIERS_INST_E_MATCHING _let_380)) :args _let_109)) _let_110 :args (_let_326 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (tptp.a _let_316 tptp.a _let_320 QUANTIFIERS_INST_E_MATCHING (_let_379 _let_239))) :args _let_237)) _let_238 :args (_let_321 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_316 _let_318 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_74)) _let_73 :args (_let_319 false _let_72)) :args (_let_207 false _let_19 false _let_22 false _let_24 false _let_378 false _let_26 false _let_377 false _let_28 false _let_30 false _let_32 false _let_34 false _let_376 false _let_375 false _let_233 false _let_36 false _let_374 false _let_373 false _let_39 false _let_232 false _let_372 false _let_41 false _let_371 false _let_231 false _let_43 false _let_45 false _let_46 false _let_230 false _let_228 false _let_370 false _let_369 false _let_368 false _let_47 false _let_367 false _let_366 false _let_48 false _let_365 false _let_226 false _let_225 false _let_223 false _let_364 false _let_362 false _let_361 false _let_360 false _let_359 false _let_358 false _let_353 false _let_352 false _let_217 false _let_351 false _let_349 false _let_348 false _let_347 false _let_346 false _let_344 false _let_343 false _let_342 false _let_341 false _let_340 false _let_339 false _let_338 false _let_335 false _let_334 false _let_333 false _let_329 false _let_328 false _let_326 false _let_321 false _let_319)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_268)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_179 _let_66 _let_270 _let_271 _let_274 _let_275 _let_277 _let_278 _let_177 _let_169 _let_175 _let_283 _let_285 _let_297 _let_300 _let_167 _let_165 _let_163 _let_303 _let_306 _let_309) (SCOPE (TRANS _let_306 (CONG _let_271 _let_308 :args _let_128) (SYMM (SYMM _let_309)) (CONG _let_144 (TRANS (CONG _let_178 _let_308 :args _let_128) _let_307 _let_163 _let_303 (SYMM _let_305)) :args _let_128) (CONG _let_144 (TRANS _let_305 _let_304 _let_164 _let_302 _let_301 (CONG _let_173 (SYMM _let_299) :args _let_128)) :args _let_128) (SYMM _let_300) (CONG _let_179 _let_299 :args _let_128)) :args (_let_26 _let_19 _let_227 _let_232 _let_219 _let_226 _let_223 _let_233 _let_22 _let_39 _let_47 _let_225 _let_231 _let_217 _let_215 _let_45 _let_30 _let_28 _let_230 _let_228 _let_221))) :args (_let_19 _let_22 _let_26 _let_28 _let_30 _let_233 _let_39 _let_232 _let_231 _let_45 _let_230 _let_228 _let_47 _let_227 _let_226 _let_225 _let_223 _let_221 _let_219 _let_217 _let_215))) :args (true _let_268)) :args ((or _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 (not _let_227) _let_254 _let_253 _let_252 (not _let_221) (not _let_219) _let_251 _let_204 (not _let_215)))) _let_66 _let_71 _let_80 _let_85 _let_86 _let_250 _let_94 _let_249 _let_248 _let_100 _let_247 _let_246 _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_5 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_227 false _let_67)) _let_245 _let_244 _let_243 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (_let_2 _let_21 _let_220 QUANTIFIERS_INST_E_MATCHING _let_236)) :args _let_234)) _let_235 :args (_let_221 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (_let_5 _let_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_242)) :args _let_234)) _let_235 :args (_let_219 false _let_11)) _let_241 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (_let_2 _let_1 _let_214 QUANTIFIERS_INST_E_MATCHING _let_236)) :args _let_234)) _let_235 :args (_let_215 false _let_11)) :args (_let_204 false _let_19 false _let_22 false _let_26 false _let_28 false _let_30 false _let_233 false _let_39 false _let_232 false _let_231 false _let_45 false _let_230 false _let_228 false _let_47 false _let_227 false _let_226 false _let_225 false _let_223 false _let_221 false _let_219 false _let_217 false _let_215)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_25 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet X Y)))) :args _let_125)) _let_124 :args (_let_209 false _let_123)) :args (_let_65 false _let_207 false _let_204 false _let_209)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_121 _let_119 _let_64 (not _let_122)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_201)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_169 _let_175 _let_177 _let_179 _let_182 _let_183 _let_184 _let_186 _let_154 _let_151 _let_139 _let_66 _let_134 _let_132 _let_130 _let_149 _let_157 _let_160 _let_163 _let_165 _let_167 _let_190 _let_193 _let_202 _let_203) (SCOPE (TRANS (SYMM (SYMM _let_203)) (SYMM (SYMM _let_202)) (CONG _let_196 _let_195 :args _let_129)) :args (_let_39 _let_47 _let_22 _let_26 _let_51 _let_53 _let_48 _let_41 _let_34 _let_32 _let_36 _let_19 _let_46 _let_24 _let_43 _let_52 _let_56 _let_55 _let_28 _let_30 _let_45 _let_59 _let_60 _let_199 _let_200))) :args (_let_19 _let_22 _let_24 _let_26 _let_28 _let_30 _let_32 _let_34 _let_36 _let_39 _let_41 _let_43 _let_45 _let_46 _let_47 _let_48 _let_51 _let_52 _let_53 _let_55 _let_56 _let_59 _let_200 _let_60 _let_199))) :args (true _let_201)) _let_66 _let_71 _let_76 _let_80 _let_85 _let_86 _let_91 _let_92 _let_93 _let_94 _let_98 _let_99 _let_100 _let_101 _let_106 _let_107 _let_108 _let_112 _let_113 _let_114 _let_115 _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_200 false _let_87)) _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_3 _let_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_95)) _let_96 :args (_let_199 false _let_14)) :args (_let_120 false _let_19 false _let_22 false _let_24 false _let_26 false _let_28 false _let_30 false _let_32 false _let_34 false _let_36 false _let_39 false _let_41 false _let_43 false _let_45 false _let_46 false _let_47 false _let_48 false _let_51 false _let_52 false _let_53 false _let_55 false _let_56 false _let_59 false _let_200 false _let_60 false _let_199)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_127)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_169 _let_175 _let_177 _let_179 _let_182 _let_183 _let_184 _let_186 _let_154 _let_151 _let_139 _let_66 _let_134 _let_132 _let_130 _let_149 _let_157 _let_160 _let_163 _let_165 _let_167 _let_190 _let_193 _let_197) (SCOPE (TRANS _let_191 (SYMM (SYMM _let_197)) (CONG _let_196 _let_195 :args _let_128)) :args (_let_39 _let_47 _let_22 _let_26 _let_51 _let_53 _let_48 _let_41 _let_34 _let_32 _let_36 _let_19 _let_46 _let_24 _let_43 _let_52 _let_56 _let_55 _let_28 _let_30 _let_45 _let_59 _let_60 _let_126))) :args (_let_19 _let_22 _let_24 _let_26 _let_28 _let_30 _let_32 _let_34 _let_36 _let_39 _let_41 _let_43 _let_45 _let_46 _let_47 _let_48 _let_51 _let_52 _let_53 _let_55 _let_56 _let_59 _let_60 _let_126))) :args (true _let_127)) _let_66 _let_71 _let_76 _let_80 _let_85 _let_86 _let_91 _let_92 _let_93 _let_94 _let_98 _let_99 _let_100 _let_101 _let_106 _let_107 _let_108 _let_112 _let_113 _let_114 _let_115 _let_116 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_3 _let_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_126 false _let_13)) :args (_let_118 false _let_19 false _let_22 false _let_24 false _let_26 false _let_28 false _let_30 false _let_32 false _let_34 false _let_36 false _let_39 false _let_41 false _let_43 false _let_45 false _let_46 false _let_47 false _let_48 false _let_51 false _let_52 false _let_53 false _let_55 false _let_56 false _let_59 false _let_60 false _let_126)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_57 _let_63 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X Y)))) :args _let_125)) _let_124 :args (_let_122 false _let_123)) :args (_let_64 false _let_120 false _let_118 false _let_122)) _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_108 _let_107 _let_106 _let_101 _let_100 _let_99 _let_98 _let_94 _let_93 _let_92 _let_91 _let_86 _let_85 _let_80 _let_76 _let_71 (SYMM (ASSUME :args (_let_4))) _let_66 :args (false false _let_65 false _let_64 false _let_60 false _let_59 false _let_56 false _let_55 false _let_53 false _let_52 false _let_51 false _let_48 false _let_47 false _let_46 false _let_45 false _let_43 false _let_41 false _let_39 false _let_36 false _let_34 false _let_32 false _let_30 false _let_28 false _let_26 false _let_24 false _let_22 true _let_20 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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.03/3.23 )
% 3.03/3.24 % SZS output end Proof for LAT253-1
% 3.03/3.24 % cvc5---1.0.5 exiting
% 3.03/3.24 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------