TSTP Solution File: LAT239-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT239-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 0.99s 1.19s
% Output : Proof 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT239-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 04:30:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.VdOFuUXhx3/cvc5---1.0.5_10200.p...
% 0.21/0.50 ------- get file name : TPTP file name is LAT239-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10200.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.99/1.19 % SZS status Unsatisfiable for LAT239-1
% 0.99/1.19 % SZS output start Proof for LAT239-1
% 0.99/1.23 (
% 0.99/1.23 (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 X U)))) (tptp.meet X (tptp.join Y (tptp.join (tptp.meet X Z) (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.join tptp.a _let_1))) (let ((_let_20 (tptp.meet _let_2 _let_3))) (let ((_let_21 (tptp.join _let_20 (tptp.meet _let_3 _let_19)))) (let ((_let_22 (= _let_1 _let_21))) (let ((_let_23 (= tptp.one (tptp.join tptp.a _let_21)))) (let ((_let_24 (not _let_23))) (let ((_let_25 (= tptp.zero (tptp.meet tptp.a _let_21)))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22))) (let ((_let_28 (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_29 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 (tptp.join _let_1 _let_1))) (let ((_let_32 (tptp.meet _let_2 _let_31))) (let ((_let_33 (tptp.meet _let_2 _let_2))) (let ((_let_34 (tptp.join _let_1 (tptp.join _let_33 _let_32)))) (let ((_let_35 (= _let_34 (tptp.meet _let_34 (tptp.join _let_34 tptp.b))))) (let ((_let_36 (tptp.complement _let_2))) (let ((_let_37 (tptp.join _let_1 _let_36))) (let ((_let_38 (= (tptp.join _let_3 _let_36) (tptp.join _let_2 _let_37)))) (let ((_let_39 (tptp.join _let_5 tptp.b))) (let ((_let_40 (tptp.join _let_1 _let_5))) (let ((_let_41 (= (tptp.join _let_40 tptp.b) (tptp.join _let_1 _let_39)))) (let ((_let_42 (tptp.join tptp.b _let_20))) (let ((_let_43 (= (tptp.meet _let_34 _let_42) (tptp.meet _let_42 _let_34)))) (let ((_let_44 (tptp.join tptp.b _let_2))) (let ((_let_45 (tptp.meet _let_44 tptp.b))) (let ((_let_46 (= _let_44 (tptp.join _let_44 _let_45)))) (let ((_let_47 (tptp.meet _let_2 tptp.a))) (let ((_let_48 (tptp.join _let_47 (tptp.meet tptp.a _let_37)))) (let ((_let_49 (tptp.join _let_2 _let_36))) (let ((_let_50 (tptp.meet tptp.a _let_49))) (let ((_let_51 (= (tptp.meet _let_2 (tptp.join _let_1 _let_50)) (tptp.meet _let_2 (tptp.join _let_1 _let_48))))) (let ((_let_52 (= tptp.b _let_36))) (let ((_let_53 (tptp.join tptp.b _let_5))) (let ((_let_54 (tptp.meet tptp.a _let_53))) (let ((_let_55 (= (tptp.join _let_40 _let_54) (tptp.join _let_1 (tptp.join _let_5 _let_54))))) (let ((_let_56 (tptp.join _let_2 _let_20))) (let ((_let_57 (= (tptp.join _let_56 _let_36) (tptp.join _let_2 (tptp.join _let_20 _let_36))))) (let ((_let_58 (tptp.join tptp.b _let_1))) (let ((_let_59 (= _let_58 (tptp.join _let_1 tptp.b)))) (let ((_let_60 (= (tptp.join _let_2 _let_3) (tptp.join _let_3 _let_2)))) (let ((_let_61 (tptp.meet tptp.b _let_44))) (let ((_let_62 (= _let_61 _let_45))) (let ((_let_63 (= (tptp.meet _let_2 _let_42) (tptp.meet _let_42 _let_2)))) (let ((_let_64 (tptp.meet _let_3 _let_2))) (let ((_let_65 (= _let_3 (tptp.join _let_3 _let_64)))) (let ((_let_66 (tptp.join _let_2 tptp.b))) (let ((_let_67 (= _let_2 (tptp.meet _let_2 _let_66)))) (let ((_let_68 (= _let_1 _let_31))) (let ((_let_69 (= _let_2 _let_33))) (let ((_let_70 (= tptp.one _let_49))) (let ((_let_71 (= _let_44 _let_66))) (let ((_let_72 (= _let_53 _let_39))) (let ((_let_73 (tptp.join _let_1 tptp.a))) (let ((_let_74 (= _let_19 _let_73))) (let ((_let_75 (= _let_20 _let_64))) (let ((_let_76 (tptp.meet tptp.b tptp.b))) (let ((_let_77 (= tptp.b (tptp.join tptp.b _let_76)))) (let ((_let_78 (= _let_2 _let_56))) (let ((_let_79 (tptp.meet _let_2 _let_1))) (let ((_let_80 (tptp.join _let_2 _let_79))) (let ((_let_81 (= _let_2 _let_80))) (let ((_let_82 (tptp.meet tptp.a tptp.b))) (let ((_let_83 (= tptp.a (tptp.join tptp.a _let_82)))) (let ((_let_84 (= tptp.b _let_61))) (let ((_let_85 (tptp.join _let_1 _let_2))) (let ((_let_86 (= _let_1 (tptp.meet _let_1 _let_85)))) (let ((_let_87 (tptp.meet tptp.a _let_19))) (let ((_let_88 (= tptp.a _let_87))) (let ((_let_89 (= tptp.b _let_76))) (let ((_let_90 (= tptp.one _let_19))) (let ((_let_91 (= tptp.one _let_44))) (let ((_let_92 (= _let_3 _let_85))) (let ((_let_93 (= tptp.b _let_53))) (let ((_let_94 (= _let_2 _let_20))) (let ((_let_95 (= tptp.a _let_5))) (let ((_let_96 (= _let_1 _let_3))) (let ((_let_97 (not _let_22))) (let ((_let_98 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 ((tptp.join X Y)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_34 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_35 false _let_98)))) (let ((_let_103 (_let_11))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 ((tptp.join X (tptp.join Y Z))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_2 _let_1 _let_36 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_103)) _let_104 :args (_let_38 false _let_11)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_1 _let_5 tptp.b QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_103)) _let_104 :args (_let_41 false _let_11)))) (let ((_let_108 (_let_14))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 ((tptp.meet X Y)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_34 _let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_108)) _let_109 :args (_let_43 false _let_14)))) (let ((_let_112 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 ((tptp.meet X Y)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_44 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_46 false _let_112)))) (let ((_let_117 (_let_7))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (tptp.meet Z (tptp.join X U)))) (let ((_let_120 ((tptp.join Y _let_119)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_2 _let_1 tptp.a _let_36 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_117)) _let_118 :args (_let_51 false _let_7)))) (let ((_let_122 (= tptp.one _let_66))) (let ((_let_123 (not _let_122))) (let ((_let_124 (tptp.meet _let_2 tptp.b))) (let ((_let_125 (= tptp.zero _let_124))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_123 _let_52))) (let ((_let_128 (_let_13))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 ((tptp.join X Y)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_71 false _let_13)))) (let ((_let_132 (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (_let_132))) (let ((_let_135 ((tptp.complement X)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_135)) :args _let_134)) _let_133 :args (_let_91 false _let_132)))) (let ((_let_137 (and _let_91 _let_71))) (let ((_let_138 (ASSUME :args (_let_71)))) (let ((_let_139 (SYMM (SYMM _let_138)))) (let ((_let_140 (ASSUME :args (_let_91)))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (tptp.meet tptp.b _let_2))) (let ((_let_144 (= _let_143 _let_124))) (let ((_let_145 (= tptp.zero _let_143))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_108)) _let_109 :args (_let_144 false _let_14)))) (let ((_let_147 (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (_let_147))) (let ((_let_150 ((tptp.complement X)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_150)) :args _let_149)) _let_148 :args (_let_145 false _let_147)))) (let ((_let_152 (and _let_145 _let_144))) (let ((_let_153 (ASSUME :args (_let_144)))) (let ((_let_154 (SYMM (SYMM _let_153)))) (let ((_let_155 (ASSUME :args (_let_145)))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_126 _let_123 _let_52 (not _let_127)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_152)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_153 _let_155) (SCOPE (TRANS (SYMM _let_156) _let_154) :args (_let_144 _let_145))) :args (_let_145 _let_144))) :args (true _let_152)) _let_151 _let_146 :args (_let_125 false _let_145 false _let_144)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_138 _let_140) (SCOPE (TRANS _let_142 _let_139) :args (_let_71 _let_91))) :args (_let_91 _let_71))) :args (true _let_137)) _let_136 _let_131 :args (_let_122 false _let_91 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet X Y)))) :args _let_30)) _let_29 :args (_let_127 false _let_28)) :args (_let_52 false _let_125 false _let_122 false _let_127)))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_1 _let_5 _let_54 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_103)) _let_104 :args (_let_55 false _let_11)))) (let ((_let_159 ((tptp.join (tptp.join X Y) Z)))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_2 _let_20 _let_36 QUANTIFIERS_INST_E_MATCHING _let_159)) :args _let_103)) _let_104 :args (_let_57 false _let_11)))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_59 false _let_13)))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_2 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_60 false _let_13)))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.b _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_108)) _let_109 :args (_let_62 false _let_14)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_2 _let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_108)) _let_109 :args (_let_63 false _let_14)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_65 false _let_112)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_67 false _let_98)))) (let ((_let_167 (forall ((X $$unsorted)) (= X (tptp.join X X))))) (let ((_let_168 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (_let_167))) (let ((_let_170 ((tptp.join X X)))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_170)) :args _let_169)) _let_168 :args (_let_68 false _let_167)))) (let ((_let_172 (forall ((X $$unsorted)) (= X (tptp.meet X X))))) (let ((_let_173 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_174 (_let_172))) (let ((_let_175 ((tptp.meet X X)))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_174)) _let_173 :args (_let_69 false _let_172)))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_135)) :args _let_134)) _let_133 :args (_let_70 false _let_132)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.b _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_72 false _let_13)))) (let ((_let_179 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_74 false _let_13)))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_2 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_108)) _let_109 :args (_let_75 false _let_14)))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_77 false _let_112)))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_2 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_78 false _let_112)))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_81 false _let_112)))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_83 false _let_112)))) (let ((_let_185 (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_84 false _let_98)))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_86 false _let_98)))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) 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(INSTANTIATE _let_99 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_423 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_1 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_422 false _let_98)) _let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_421 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_420 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_419 false _let_112)) _let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_2 _let_2 _let_1 _let_1 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_117)) _let_118 :args (_let_410 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_2 tptp.a _let_1 _let_1 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_117)) _let_118 :args (_let_409 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_2 _let_1 _let_1 _let_1 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_117)) _let_118 :args (_let_408 false _let_7)) _let_441 _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_2 tptp.b _let_143 _let_1 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_117)) _let_118 :args (_let_404 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_2 tptp.a _let_143 _let_1 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_117)) _let_118 :args (_let_403 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_349 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_402 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_143 _let_386 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_401 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_5 _let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_400 false _let_98)) _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_143 _let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_398 false _let_112)) _let_440 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_2 _let_394 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_396 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.a _let_349 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_108)) _let_109 :args (_let_392 false _let_14)) _let_439 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_2 _let_143 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_108)) _let_109 :args (_let_389 false _let_14)) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_143 _let_386 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_388 false _let_13)) _let_438 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_436 :args (tptp.a _let_2 _let_362 QUANTIFIERS_INST_E_MATCHING _let_437)) :args _let_435)) _let_436 :args (_let_384 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_1 _let_353 _let_380 QUANTIFIERS_INST_E_MATCHING _let_159)) :args _let_103)) _let_104 :args (_let_382 false _let_11)) _let_107 _let_434 _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.a _let_1 _let_2 _let_374 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_117)) _let_118 :args (_let_378 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.a tptp.a _let_2 _let_371 QUANTIFIERS_INST_E_MATCHING (_let_119 (tptp.meet Z (tptp.join Y U))))) :args _let_117)) _let_118 :args (_let_373 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_369 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_170)) :args _let_169)) _let_168 :args (_let_370 false _let_167)) _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_47 _let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_366 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_363 _let_362 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_365 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_2 _let_357 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_358 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_353 _let_354 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_355 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_350 _let_54 tptp.b QUANTIFIERS_INST_E_MATCHING _let_159)) :args _let_103)) _let_104 :args (_let_352 false _let_11)) :args (_let_25 false _let_95 false _let_94 false _let_93 false _let_433 false _let_92 false _let_91 false _let_90 false _let_145 false _let_432 false _let_89 false _let_88 false _let_86 false _let_84 false _let_431 false _let_83 false _let_81 false _let_78 false _let_430 false _let_77 false _let_429 false _let_428 false _let_75 false _let_144 false _let_74 false _let_72 false _let_71 false _let_427 false _let_70 false _let_426 false _let_425 false _let_69 false _let_68 false _let_424 false _let_423 false _let_422 false _let_67 false _let_421 false _let_420 false _let_419 false _let_65 false _let_418 false _let_63 false _let_62 false _let_417 false _let_60 false _let_415 false _let_414 false _let_59 false _let_412 false _let_411 false _let_57 false _let_55 false _let_52 false _let_410 false _let_409 false _let_408 false _let_405 false _let_51 false _let_404 false _let_403 false _let_402 false _let_401 false _let_400 false _let_46 false _let_398 false _let_397 false _let_396 false _let_392 false _let_391 false _let_389 false _let_43 false _let_388 false _let_385 false _let_384 false _let_382 false _let_41 false _let_379 false _let_38 false _let_378 false _let_373 false _let_370 false _let_35 false _let_366 false _let_365 false _let_358 false _let_355 false _let_352)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_232)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_194 _let_233 _let_238 _let_236 _let_240 _let_243 _let_325 _let_138 _let_311 _let_140 _let_284 _let_288 _let_193 _let_299 _let_280 _let_274 _let_276 _let_290 _let_267 _let_297 _let_272 _let_269 _let_342 _let_249 _let_245 _let_248 _let_257 _let_259 _let_261 _let_265 _let_315 _let_318 _let_320 _let_323 _let_334 _let_328 _let_332) (SCOPE (FALSE_ELIM (TRANS (CONG _let_251 (TRANS (CONG (TRANS _let_241 (SYMM _let_348)) (TRANS (CONG _let_264 (TRANS _let_287 _let_142 _let_314) :args _let_247) _let_323 (SYMM _let_337) (SYMM _let_345)) :args _let_235) (CONG _let_348 (TRANS _let_345 _let_337 _let_324 (CONG _let_322 (TRANS _let_313 _let_141 _let_315 (CONG (SYMM _let_321) _let_317 :args _let_235) (SYMM _let_319) (CONG _let_255 (TRANS (CONG _let_241 _let_317 :args _let_235) _let_316 _let_142 _let_314) :args _let_235) (CONG _let_255 (TRANS _let_313 (SYMM _let_312) _let_310 _let_308 (SYMM _let_273) _let_271 (CONG _let_251 _let_261 :args _let_235)) :args _let_235) (SYMM _let_266) (CONG _let_264 _let_262 :args _let_235)) :args _let_247) (SYMM _let_260) _let_258 _let_239) :args _let_235) (SYMM _let_244) (CONG _let_238 _let_242 :args _let_235) (CONG _let_239 (SYMM _let_237) :args _let_235) (SYMM _let_234)) :args (=)) (FALSE_INTRO _let_194))) :args (_let_231 _let_65 _let_92 _let_75 _let_94 _let_60 _let_67 _let_71 _let_46 _let_91 _let_90 _let_74 _let_95 _let_62 _let_84 _let_77 _let_89 _let_83 _let_93 _let_55 _let_41 _let_72 _let_59 _let_86 _let_81 _let_68 _let_69 _let_35 _let_52 _let_38 _let_70 _let_57 _let_78 _let_43 _let_63 _let_88 _let_51))) :args (_let_95 _let_231 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_86 _let_84 _let_83 _let_81 _let_78 _let_77 _let_75 _let_74 _let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_65 _let_63 _let_62 _let_60 _let_59 _let_57 _let_55 _let_52 _let_51 _let_46 _let_43 _let_41 _let_38 _let_35))) :args (true _let_232)) (CONG (REFL :args (_let_230)) (MACRO_SR_PRED_INTRO :args ((= (not _let_231) _let_96))) (REFL :args (_let_229)) (REFL :args (_let_228)) (REFL :args (_let_227)) (REFL :args (_let_226)) (REFL :args (_let_225)) (REFL :args (_let_224)) (REFL :args (_let_223)) (REFL :args (_let_222)) (REFL :args (_let_221)) (REFL :args (_let_220)) (REFL :args (_let_219)) (REFL :args (_let_218)) (REFL :args (_let_217)) (REFL :args (_let_216)) (REFL :args (_let_215)) (REFL :args (_let_214)) (REFL :args (_let_213)) (REFL :args (_let_212)) (REFL :args (_let_211)) (REFL :args (_let_210)) (REFL :args (_let_209)) (REFL :args (_let_208)) (REFL :args (_let_207)) (REFL :args (_let_206)) (REFL :args (_let_205)) (REFL :args (_let_204)) (REFL :args (_let_203)) (REFL :args (_let_202)) (REFL :args (_let_201)) (REFL :args (_let_200)) (REFL :args (_let_199)) (REFL :args (_let_198)) (REFL :args (_let_197)) (REFL :args (_let_196)) (REFL :args (_let_195)) (REFL :args (_let_97)) :args (or))) :args ((or _let_96 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_97))) _let_194 _let_193 _let_192 _let_191 _let_190 _let_136 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_131 _let_177 _let_176 _let_171 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_158 _let_157 _let_121 _let_116 _let_111 _let_107 _let_106 _let_102 :args (_let_97 true _let_96 false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_86 false _let_84 false _let_83 false _let_81 false _let_78 false _let_77 false _let_75 false _let_74 false _let_72 false _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_65 false _let_63 false _let_62 false _let_60 false _let_59 false _let_57 false _let_55 false _let_52 false _let_51 false _let_46 false _let_43 false _let_41 false _let_38 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.a _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X Y)))) :args _let_30))) _let_29 :args (_let_27 false _let_28)) :args (false false _let_23 false _let_25 true _let_22 false _let_27)) :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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.99/1.23 )
% 0.99/1.23 % SZS output end Proof for LAT239-1
% 0.99/1.23 % cvc5---1.0.5 exiting
% 0.99/1.23 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------