TSTP Solution File: LAT252-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT252-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 27.68s 27.88s
% Output : Proof 27.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT252-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu Aug 24 06:01:11 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.40 %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.40 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4ogE4G9rlV/cvc5---1.0.5_2180.p...
% 0.16/0.40 ------- get file name : TPTP file name is LAT252-1
% 0.16/0.41 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2180.smt2...
% 0.16/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.30/10.52 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.31/15.53 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.34/20.55 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.31/25.57 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.68/27.88 % SZS status Unsatisfiable for LAT252-1
% 27.68/27.88 % SZS output start Proof for LAT252-1
% 27.71/27.89 (
% 27.71/27.89 (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 Y (tptp.join X 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 (forall ((X $$unsorted)) (= (tptp.join X X) X)))) (let ((_let_18 (forall ((X $$unsorted)) (= (tptp.meet X X) X)))) (let ((_let_19 (= _let_1 _let_3))) (let ((_let_20 (tptp.meet _let_2 _let_3))) (let ((_let_21 (= _let_2 _let_20))) (let ((_let_22 (tptp.join _let_1 _let_2))) (let ((_let_23 (= _let_3 _let_22))) (let ((_let_24 (tptp.join tptp.b _let_2))) (let ((_let_25 (= tptp.one _let_24))) (let ((_let_26 (tptp.join tptp.a _let_1))) (let ((_let_27 (= tptp.one _let_26))) (let ((_let_28 (tptp.meet tptp.b _let_2))) (let ((_let_29 (= tptp.zero _let_28))) (let ((_let_30 (tptp.meet tptp.a _let_1))) (let ((_let_31 (= tptp.zero _let_30))) (let ((_let_32 (= _let_1 (tptp.meet _let_1 _let_22)))) (let ((_let_33 (tptp.meet _let_2 _let_1))) (let ((_let_34 (= _let_2 (tptp.join _let_2 _let_33)))) (let ((_let_35 (= _let_2 (tptp.join _let_2 _let_20)))) (let ((_let_36 (tptp.join tptp.b _let_28))) (let ((_let_37 (= tptp.b _let_36))) (let ((_let_38 (tptp.meet _let_1 tptp.a))) (let ((_let_39 (= _let_30 _let_38))) (let ((_let_40 (tptp.meet _let_1 _let_2))) (let ((_let_41 (= _let_33 _let_40))) (let ((_let_42 (= _let_28 (tptp.meet _let_2 tptp.b)))) (let ((_let_43 (tptp.join _let_1 tptp.a))) (let ((_let_44 (= _let_26 _let_43))) (let ((_let_45 (tptp.join _let_2 tptp.b))) (let ((_let_46 (= _let_24 _let_45))) (let ((_let_47 (tptp.meet _let_2 (tptp.join _let_1 (tptp.meet _let_2 _let_22))))) (let ((_let_48 (tptp.join _let_2 _let_47))) (let ((_let_49 (= _let_2 (tptp.meet _let_2 _let_48)))) (let ((_let_50 (= _let_1 (tptp.meet _let_1 _let_43)))) (let ((_let_51 (tptp.join tptp.b _let_20))) (let ((_let_52 (tptp.meet _let_1 _let_51))) (let ((_let_53 (= _let_1 (tptp.join _let_1 _let_52)))) (let ((_let_54 (= _let_1 (tptp.join _let_1 _let_38)))) (let ((_let_55 (= _let_1 (tptp.join _let_1 (tptp.meet _let_1 _let_48))))) (let ((_let_56 (tptp.join _let_2 _let_2))) (let ((_let_57 (tptp.meet _let_1 _let_56))) (let ((_let_58 (tptp.join _let_2 _let_57))) (let ((_let_59 (= (tptp.meet _let_40 _let_58) (tptp.meet _let_1 (tptp.meet _let_2 _let_58))))) (let ((_let_60 (= (tptp.meet _let_1 (tptp.join _let_2 (tptp.meet _let_1 _let_45))) (tptp.meet _let_1 (tptp.join _let_2 (tptp.meet _let_1 (tptp.join tptp.b (tptp.meet _let_2 (tptp.join _let_1 _let_1))))))))) (let ((_let_61 (tptp.meet _let_2 _let_36))) (let ((_let_62 (tptp.join _let_1 _let_61))) (let ((_let_63 (= _let_62 (tptp.join _let_61 _let_1)))) (let ((_let_64 (tptp.meet _let_57 (tptp.join _let_2 (tptp.meet _let_1 _let_58))))) (let ((_let_65 (= (tptp.join _let_1 _let_64) (tptp.join _let_64 _let_1)))) (let ((_let_66 (= _let_1 (tptp.meet _let_1 _let_62)))) (let ((_let_67 (tptp.join _let_28 _let_1))) (let ((_let_68 (tptp.meet _let_2 _let_67))) (let ((_let_69 (tptp.join tptp.b _let_68))) (let ((_let_70 (tptp.meet _let_1 _let_69))) (let ((_let_71 (= _let_1 (tptp.join _let_1 _let_70)))) (let ((_let_72 (tptp.meet _let_69 _let_1))) (let ((_let_73 (= _let_70 _let_72))) (let ((_let_74 (tptp.join _let_57 (tptp.meet _let_1 (tptp.join _let_2 _let_70))))) (let ((_let_75 (= (tptp.meet _let_72 _let_74) (tptp.meet _let_69 (tptp.meet _let_1 _let_74))))) (let ((_let_76 (= _let_2 _let_68))) (let ((_let_77 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.join X Y)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_21 false _let_77)))) (let ((_let_82 (_let_13))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 ((tptp.join X Y)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_23 false _let_13)))) (let ((_let_86 (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (_let_86))) (let ((_let_89 ((tptp.complement X)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) _let_87 :args (_let_25 false _let_86)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) _let_87 :args (_let_27 false _let_86)))) (let ((_let_92 (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 ((tptp.complement X)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_29 false _let_92)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_31 false _let_92)))) (let ((_let_98 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 ((tptp.meet X Y)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_34 false _let_98)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_2 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_35 false _let_98)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_37 false _let_98)))) (let ((_let_105 (_let_14))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 ((tptp.meet X Y)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_39 false _let_14)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_41 false _let_14)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_42 false _let_14)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_44 false _let_13)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_46 false _let_13)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_2 _let_47 QUANTIFIERS_INST_CBQI_PROP)) :args _let_79)) _let_78 :args (_let_49 false _let_77)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_1 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_79)) _let_78 :args (_let_50 false _let_77)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_1 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_53 false _let_98)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_54 false _let_98)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_1 _let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_55 false _let_98)))) (let ((_let_118 (_let_12))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 ((tptp.meet X (tptp.meet Y Z))))) (let ((_let_121 (_let_7))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (tptp.meet Z (tptp.join Y U)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_1 _let_61 QUANTIFIERS_INST_CBQI_PROP)) :args _let_82)) _let_83 :args (_let_63 false _let_13)))) (let ((_let_125 (= tptp.one _let_69))) (let ((_let_126 (not _let_125))) (let ((_let_127 (= tptp.zero (tptp.meet tptp.b _let_68)))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_126 _let_76))) (let ((_let_130 (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_131 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (tptp.join _let_57 tptp.b))) (let ((_let_133 (tptp.meet _let_28 _let_62))) (let ((_let_134 (tptp.join _let_133 (tptp.meet _let_2 (tptp.join _let_133 _let_132))))) (let ((_let_135 (= _let_132 (tptp.join _let_132 (tptp.meet _let_132 _let_134))))) (let ((_let_136 (tptp.join tptp.b _let_57))) (let ((_let_137 (= (tptp.meet _let_2 _let_136) (tptp.meet _let_136 _let_2)))) (let ((_let_138 (tptp.join _let_5 _let_2))) (let ((_let_139 (tptp.join tptp.b _let_138))) (let ((_let_140 (tptp.meet _let_1 _let_139))) (let ((_let_141 (tptp.join tptp.b _let_140))) (let ((_let_142 (tptp.meet _let_2 _let_141))) (let ((_let_143 (= (tptp.meet _let_2 (tptp.join tptp.b _let_142)) (tptp.meet _let_2 (tptp.join tptp.b (tptp.meet _let_2 (tptp.join _let_140 (tptp.meet tptp.b _let_56)))))))) (let ((_let_144 (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (let ((_let_145 (= (tptp.join (tptp.join _let_28 _let_144) _let_68) (tptp.join _let_28 (tptp.join _let_144 _let_68))))) (let ((_let_146 (tptp.meet _let_24 tptp.b))) (let ((_let_147 (= (tptp.join _let_43 _let_146) (tptp.join _let_1 (tptp.join tptp.a _let_146))))) (let ((_let_148 (tptp.meet _let_1 (tptp.join _let_138 (tptp.meet tptp.b _let_3))))) (let ((_let_149 (tptp.join tptp.b _let_148))) (let ((_let_150 (= _let_149 (tptp.join _let_148 tptp.b)))) (let ((_let_151 (tptp.join _let_2 _let_132))) (let ((_let_152 (= _let_151 (tptp.join _let_132 _let_2)))) (let ((_let_153 (= (tptp.join _let_2 _let_133) (tptp.join _let_133 _let_2)))) (let ((_let_154 (= _let_24 (tptp.join _let_24 _let_146)))) (let ((_let_155 (= _let_28 (tptp.meet _let_28 _let_67)))) (let ((_let_156 (= _let_132 _let_136))) (let ((_let_157 (= _let_141 (tptp.join _let_140 tptp.b)))) (let ((_let_158 (= _let_142 (tptp.meet _let_2 _let_149)))) (let ((_let_159 (= _let_36 (tptp.join _let_28 tptp.b)))) (let ((_let_160 (tptp.complement _let_2))) (let ((_let_161 (tptp.meet _let_2 _let_160))) (let ((_let_162 (= _let_2 (tptp.join _let_2 _let_161)))) (let ((_let_163 (= _let_2 (tptp.meet _let_2 _let_45)))) (let ((_let_164 (tptp.meet tptp.b _let_24))) (let ((_let_165 (= _let_164 _let_146))) (let ((_let_166 (= (tptp.join _let_58 tptp.b) _let_151))) (let ((_let_167 (= tptp.zero _let_161))) (let ((_let_168 (tptp.join tptp.b _let_5))) (let ((_let_169 (= (tptp.join _let_168 _let_2) _let_139))) (let ((_let_170 (= (tptp.meet _let_28 _let_3) (tptp.meet tptp.b _let_20)))) (let ((_let_171 (= _let_168 (tptp.join _let_5 tptp.b)))) (let ((_let_172 (= tptp.b _let_164))) (let ((_let_173 (= tptp.b (tptp.meet tptp.b tptp.b)))) (let ((_let_174 (= tptp.b _let_168))) (let ((_let_175 (= tptp.a _let_5))) (let ((_let_176 (_let_11))) (let ((_let_177 (ASSUME :args _let_176))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_28 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_79)) _let_78 :args (_let_155 false _let_77)))) (let ((_let_179 ((tptp.join (tptp.join X Y) Z)))) (let ((_let_180 (forall ((X $$unsorted)) (= X (tptp.meet X X))))) (let ((_let_181 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (SYMM (ASSUME :args (_let_6))))) (let ((_let_183 (not _let_155))) (let ((_let_184 (not _let_63))) (let ((_let_185 (not _let_54))) (let ((_let_186 (not _let_53))) (let ((_let_187 (not _let_50))) (let ((_let_188 (not _let_49))) (let ((_let_189 (not _let_46))) (let ((_let_190 (not _let_44))) (let ((_let_191 (not _let_42))) (let ((_let_192 (not _let_41))) (let ((_let_193 (not _let_39))) (let ((_let_194 (not _let_37))) (let ((_let_195 (not _let_35))) (let ((_let_196 (not _let_34))) (let ((_let_197 (not _let_31))) (let ((_let_198 (not _let_29))) (let ((_let_199 (not _let_27))) (let ((_let_200 (not _let_25))) (let ((_let_201 (not _let_23))) (let ((_let_202 (not _let_21))) (let ((_let_203 (and _let_175 _let_21 _let_174 _let_23 _let_25 _let_27 _let_29 _let_31 _let_173 _let_172 _let_34 _let_35 _let_37 _let_39 _let_41 _let_42 _let_44 _let_171 _let_46 _let_170 _let_169 _let_167 _let_49 _let_50 _let_166 _let_165 _let_163 _let_162 _let_53 _let_54 _let_159 _let_158 _let_63 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_150 _let_147 _let_145 _let_143 _let_137 _let_135))) (let ((_let_204 (APPLY_UF tptp.join))) (let ((_let_205 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_let_237 _let_234 _let_342 _let_308 _let_311 _let_347 _let_278) (SCOPE (TRANS _let_218 _let_279 _let_277 (SYMM (SYMM _let_347)) (CONG _let_232 (TRANS (CONG _let_227 (TRANS _let_282 _let_225) :args _let_205) _let_336 _let_249 _let_335 _let_334 _let_333 (SYMM _let_346)) :args _let_205) (CONG _let_232 (TRANS _let_346 (SYMM _let_333) _let_263 _let_254 _let_250 _let_248 _let_229) :args _let_205)) :args (_let_21 _let_42 _let_37 _let_63 _let_29 _let_31 _let_39 _let_54 _let_41 _let_35 _let_23 _let_327 _let_55 _let_50 _let_44 _let_27 _let_25 _let_328 _let_49 _let_34 _let_326 _let_155))) :args (_let_21 _let_23 _let_25 _let_27 _let_29 _let_31 _let_34 _let_35 _let_37 _let_39 _let_41 _let_42 _let_44 _let_49 _let_50 _let_54 _let_55 _let_328 _let_327 _let_63 _let_155 _let_326))) :args (true _let_332)) :args ((or _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_188 _let_187 _let_185 _let_331 (not _let_328) (not _let_327) _let_184 _let_183 _let_127 (not _let_326)))) _let_81 _let_85 _let_90 _let_91 _let_96 _let_97 _let_102 _let_103 _let_104 _let_108 _let_109 _let_110 _let_111 _let_113 _let_114 _let_116 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_2 _let_1 _let_51 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_118)) _let_119 :args (_let_328 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_330 :args (_let_57 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_329))) _let_330 :args (_let_327 false _let_329)) _let_124 _let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.b _let_2 _let_62 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_118)) _let_119 :args (_let_326 false _let_12)) :args (_let_127 false _let_21 false _let_23 false _let_25 false _let_27 false _let_29 false _let_31 false _let_34 false _let_35 false _let_37 false _let_39 false _let_41 false _let_42 false _let_44 false _let_49 false _let_50 false _let_54 false _let_55 false _let_328 false _let_327 false _let_63 false _let_155 false _let_326)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_203)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_227 _let_207 _let_209 _let_214 _let_217 _let_219 _let_221 _let_224 _let_230 _let_234 _let_237 _let_240 _let_243 _let_249 _let_251 _let_255 _let_265 _let_267 _let_278 _let_269 _let_270 _let_272 _let_182 _let_280 _let_281 _let_283 _let_286 _let_288 _let_293 _let_294 _let_295 _let_299 _let_300 _let_301 _let_302 _let_305 _let_308 _let_311 _let_317 _let_319 _let_321 _let_322 _let_323 _let_324 _let_325) (SCOPE (TRANS _let_236 _let_302 (CONG (TRANS _let_311 (SYMM _let_314)) _let_232 :args _let_204) (SYMM (SYMM _let_325)) (SYMM (SYMM _let_324)) (CONG (REFL :args (_let_132)) (TRANS _let_306 _let_304 _let_307 _let_287 _let_285 (SYMM (SYMM _let_323)) (CONG _let_266 (TRANS (SYMM (SYMM _let_322)) (CONG _let_211 (TRANS (SYMM _let_321) _let_218 (SYMM _let_318) _let_320) :args _let_204) (CONG _let_211 (TRANS (SYMM _let_320) _let_318 _let_279 _let_277) :args _let_204) (SYMM (SYMM _let_317)) (CONG _let_316 (TRANS _let_308 (SYMM _let_315)) :args _let_204) (CONG _let_316 (TRANS _let_315 _let_309 _let_306 _let_304 _let_307 _let_287 _let_285 (CONG _let_211 (TRANS _let_264 (CONG (TRANS _let_210 (SYMM (SYMM _let_281)) (CONG _let_276 (SYMM _let_275) :args _let_204)) _let_246 :args _let_204) (SYMM (SYMM _let_280)) (CONG (TRANS _let_279 _let_277) (TRANS (CONG _let_275 (SYMM _let_246) :args _let_204) _let_268 _let_266) :args _let_204)) :args _let_205)) :args _let_204)) :args _let_205)) :args _let_204) (SYMM _let_267) (SYMM _let_266) _let_264 (CONG _let_232 _let_246 :args _let_204)) :args (_let_21 _let_42 _let_37 _let_63 _let_29 _let_31 _let_39 _let_54 _let_53 _let_25 _let_27 _let_44 _let_50 _let_41 _let_35 _let_23 _let_156 _let_135 _let_155 _let_173 _let_174 _let_171 _let_175 _let_145 _let_159 _let_169 _let_143 _let_157 _let_158 _let_150 _let_172 _let_165 _let_147 _let_154 _let_46 _let_163 _let_49 _let_34 _let_153 _let_170 _let_167 _let_162 _let_137 _let_152 _let_166))) :args (_let_175 _let_21 _let_174 _let_23 _let_25 _let_27 _let_29 _let_31 _let_173 _let_172 _let_34 _let_35 _let_37 _let_39 _let_41 _let_42 _let_44 _let_171 _let_46 _let_170 _let_169 _let_167 _let_49 _let_50 _let_166 _let_165 _let_163 _let_162 _let_53 _let_54 _let_159 _let_158 _let_63 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_150 _let_147 _let_145 _let_143 _let_137 _let_135))) :args (true _let_203)) :args ((or (not _let_175) _let_202 (not _let_174) _let_201 _let_200 _let_199 _let_198 _let_197 (not _let_173) (not _let_172) _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 (not _let_171) _let_189 (not _let_170) (not _let_169) (not _let_167) _let_188 _let_187 (not _let_166) (not _let_165) (not _let_163) (not _let_162) _let_186 _let_185 (not _let_159) (not _let_158) _let_184 (not _let_157) (not _let_156) _let_183 _let_125 (not _let_154) (not _let_153) (not _let_152) (not _let_150) (not _let_147) (not _let_145) (not _let_143) (not _let_137) (not _let_135)))) _let_182 _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_174 false _let_98)) _let_85 _let_90 _let_91 _let_96 _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args (_let_180))) _let_181 :args (_let_173 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_172 false _let_77)) _let_102 _let_103 _let_104 _let_108 _let_109 _let_110 _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.b _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_171 false _let_13)) _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.b _let_2 _let_3 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_118)) _let_119 :args (_let_170 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (tptp.b _let_5 _let_2 QUANTIFIERS_INST_E_MATCHING _let_179)) :args _let_176)) _let_177 :args (_let_169 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_167 false _let_92)) _let_113 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_2 _let_57 tptp.b QUANTIFIERS_INST_E_MATCHING _let_179)) :args _let_176)) _let_177 :args (_let_166 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.b _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_165 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_163 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_2 _let_160 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_162 false _let_98)) _let_115 _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.b _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_159 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_2 tptp.b _let_1 _let_138 QUANTIFIERS_INST_E_MATCHING (_let_123 (tptp.join X Z)))) :args _let_121)) _let_122 :args (_let_158 false _let_7)) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.b _let_140 QUANTIFIERS_INST_CBQI_PROP)) :args _let_82)) _let_83 :args (_let_157 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_57 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_82)) _let_83 :args (_let_156 false _let_13)) _let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_24 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_154 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_2 _let_133 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_153 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_2 _let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_152 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.b _let_148 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_150 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_1 tptp.a _let_146 QUANTIFIERS_INST_CBQI_PROP)) :args _let_176)) _let_177 :args (_let_147 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_28 _let_144 _let_68 QUANTIFIERS_INST_CBQI_PROP)) :args _let_176)) _let_177 :args (_let_145 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_2 tptp.b _let_2 _let_140 QUANTIFIERS_INST_CBQI_PROP)) :args _let_121)) _let_122 :args (_let_143 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_2 _let_136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_137 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_132 _let_134 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_100)) _let_99 :args (_let_135 false _let_98)) :args (_let_125 false _let_175 false _let_21 false _let_174 false _let_23 false _let_25 false _let_27 false _let_29 false _let_31 false _let_173 false _let_172 false _let_34 false _let_35 false _let_37 false _let_39 false _let_41 false _let_42 false _let_44 false _let_171 false _let_46 false _let_170 false _let_169 false _let_167 false _let_49 false _let_50 false _let_166 false _let_165 false _let_163 false _let_162 false _let_53 false _let_54 false _let_159 false _let_158 false _let_63 false _let_157 false _let_156 false _let_155 false _let_154 false _let_153 false _let_152 false _let_150 false _let_147 false _let_145 false _let_143 false _let_137 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.b _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X Y)))) :args (_let_130)))) _let_131 :args (_let_129 false _let_130)) :args (_let_76 false _let_127 false _let_125 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_69 _let_1 _let_74 QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_119 :args (_let_75 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_1 _let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_73 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_1 _let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_71 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_1 _let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_66 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_1 _let_64 QUANTIFIERS_INST_CBQI_PROP)) :args _let_82)) _let_83 :args (_let_65 false _let_13)) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_1 _let_2 _let_1 tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.meet X (tptp.join Y _let_123))))) :args _let_121)) _let_122 :args (_let_60 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_1 _let_2 _let_58 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_118)) _let_119 :args (_let_59 false _let_12)) _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 _let_104 _let_103 _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_32 false _let_77)) _let_97 _let_96 _let_91 _let_90 _let_85 _let_81 (SYMM (ASSUME :args (_let_4))) :args (false false _let_76 false _let_75 false _let_73 false _let_71 false _let_66 false _let_65 false _let_63 false _let_60 false _let_59 false _let_55 false _let_54 false _let_53 false _let_50 false _let_49 false _let_46 false _let_44 false _let_42 false _let_41 false _let_39 false _let_37 false _let_35 false _let_34 false _let_32 false _let_31 false _let_29 false _let_27 false _let_25 false _let_23 false _let_21 true _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.71/27.89 )
% 27.71/27.90 % SZS output end Proof for LAT252-1
% 27.71/27.90 % cvc5---1.0.5 exiting
% 27.71/27.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------