TSTP Solution File: LAT005-10 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT005-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 06:02:34 EDT 2023
% Result : Unsatisfiable 24.52s 24.71s
% Output : Proof 24.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT005-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 05:45:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ZCj98kZX26/cvc5---1.0.5_7225.p...
% 0.20/0.50 ------- get file name : TPTP file name is LAT005-10
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7225.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.46/10.65 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.46/15.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.33/20.71 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 24.52/24.71 % SZS status Unsatisfiable for LAT005-10
% 24.52/24.71 % SZS output start Proof for LAT005-10
% 24.52/24.72 (
% 24.52/24.72 (let ((_let_1 (tptp.meet tptp.r2 tptp.a))) (let ((_let_2 (tptp.join tptp.r1 _let_1))) (let ((_let_3 (tptp.meet tptp.r2 tptp.b))) (let ((_let_4 (tptp.join tptp.r1 _let_3))) (let ((_let_5 (tptp.meet _let_4 _let_2))) (let ((_let_6 (= tptp.r1 _let_5))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.meet tptp.a tptp.b))) (let ((_let_9 (tptp.complement tptp.r2 _let_8))) (let ((_let_10 (= _let_9 tptp.true))) (let ((_let_11 (tptp.join tptp.a tptp.b))) (let ((_let_12 (tptp.complement tptp.r1 _let_11))) (let ((_let_13 (= _let_12 tptp.true))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ifeq (tptp.complement X Y) tptp.true (tptp.meet X Y) tptp.n0) tptp.n0)))) (let ((_let_15 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.join X (tptp.meet Y Z)))) (= (tptp.ifeq3 (tptp.meet X Z) X (tptp.meet Z (tptp.join X Y)) _let_1) _let_1))))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.join X tptp.n0) X)))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))) (let ((_let_22 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))) (let ((_let_23 (forall ((X $$unsorted)) (= (tptp.join X X) X)))) (let ((_let_24 (forall ((X $$unsorted)) (= (tptp.meet X X) X)))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq3 A A B C) B)))) (let ((_let_27 (= _let_12 _let_9))) (let ((_let_28 (tptp.meet _let_4 _let_4))) (let ((_let_29 (= _let_4 _let_28))) (let ((_let_30 (tptp.join tptp.a tptp.a))) (let ((_let_31 (= tptp.a _let_30))) (let ((_let_32 (tptp.join tptp.r1 tptp.n0))) (let ((_let_33 (= tptp.r1 _let_32))) (let ((_let_34 (tptp.meet tptp.a tptp.r2))) (let ((_let_35 (= _let_1 _let_34))) (let ((_let_36 (tptp.meet tptp.r2 _let_8))) (let ((_let_37 (= tptp.n0 (tptp.ifeq _let_9 _let_12 _let_36 tptp.n0)))) (let ((_let_38 (= _let_36 (tptp.ifeq _let_9 _let_9 _let_36 tptp.n0)))) (let ((_let_39 (= _let_36 (tptp.meet _let_1 tptp.b)))) (let ((_let_40 (= (tptp.meet _let_34 tptp.b) (tptp.meet tptp.a _let_3)))) (let ((_let_41 (tptp.meet tptp.b tptp.a))) (let ((_let_42 (= _let_8 _let_41))) (let ((_let_43 (= tptp.r1 (tptp.meet tptp.r1 _let_4)))) (let ((_let_44 (tptp.meet _let_2 _let_4))) (let ((_let_45 (= _let_5 _let_44))) (let ((_let_46 (tptp.meet tptp.a _let_11))) (let ((_let_47 (= tptp.a _let_46))) (let ((_let_48 (= tptp.r1 (tptp.meet tptp.r1 _let_32)))) (let ((_let_49 (tptp.meet tptp.b tptp.b))) (let ((_let_50 (= tptp.b _let_49))) (let ((_let_51 (= tptp.b (tptp.join tptp.b tptp.n0)))) (let ((_let_52 (= tptp.b (tptp.join tptp.b _let_49)))) (let ((_let_53 (tptp.join tptp.b tptp.r1))) (let ((_let_54 (tptp.join tptp.r1 tptp.b))) (let ((_let_55 (= _let_54 _let_53))) (let ((_let_56 (= _let_4 (tptp.join _let_3 tptp.r1)))) (let ((_let_57 (tptp.join tptp.b tptp.a))) (let ((_let_58 (= _let_11 _let_57))) (let ((_let_59 (tptp.join tptp.b _let_8))) (let ((_let_60 (tptp.meet tptp.b _let_57))) (let ((_let_61 (= _let_59 (tptp.ifeq3 _let_49 tptp.b _let_60 _let_59)))) (let ((_let_62 (tptp.meet tptp.b tptp.r2))) (let ((_let_63 (= _let_3 _let_62))) (let ((_let_64 (= (tptp.meet _let_49 tptp.r2) (tptp.meet tptp.b _let_62)))) (let ((_let_65 (= _let_60 (tptp.ifeq3 _let_49 _let_49 _let_60 _let_59)))) (let ((_let_66 (= tptp.b (tptp.join tptp.b _let_41)))) (let ((_let_67 (= tptp.r1 (tptp.meet tptp.r1 _let_54)))) (let ((_let_68 (tptp.join _let_30 tptp.b))) (let ((_let_69 (tptp.meet tptp.r1 _let_68))) (let ((_let_70 (tptp.join tptp.b _let_69))) (let ((_let_71 (tptp.meet _let_68 _let_53))) (let ((_let_72 (tptp.meet tptp.b _let_68))) (let ((_let_73 (= _let_70 (tptp.ifeq3 _let_72 tptp.b _let_71 _let_70)))) (let ((_let_74 (= _let_71 (tptp.ifeq3 _let_72 _let_72 _let_71 _let_70)))) (let ((_let_75 (tptp.complement tptp.r1 _let_68))) (let ((_let_76 (= tptp.n0 (tptp.ifeq _let_75 _let_12 _let_69 tptp.n0)))) (let ((_let_77 (tptp.meet _let_4 _let_5))) (let ((_let_78 (= (tptp.meet _let_28 _let_2) _let_77))) (let ((_let_79 (tptp.join tptp.r1 (tptp.join tptp.b tptp.b)))) (let ((_let_80 (= (tptp.meet _let_79 _let_5) (tptp.meet _let_5 _let_79)))) (let ((_let_81 (= (tptp.meet _let_46 _let_53) (tptp.meet tptp.a (tptp.meet _let_11 _let_53))))) (let ((_let_82 (tptp.join _let_5 _let_79))) (let ((_let_83 (= _let_82 (tptp.join _let_79 _let_5)))) (let ((_let_84 (= _let_4 (tptp.join _let_4 _let_77)))) (let ((_let_85 (= tptp.b (tptp.join tptp.b _let_62)))) (let ((_let_86 (tptp.meet _let_1 _let_53))) (let ((_let_87 (= _let_86 (tptp.meet tptp.r2 (tptp.meet tptp.a _let_53))))) (let ((_let_88 (tptp.join tptp.r1 _let_86))) (let ((_let_89 (tptp.meet _let_53 _let_2))) (let ((_let_90 (tptp.meet tptp.r1 _let_53))) (let ((_let_91 (= _let_88 (tptp.ifeq3 _let_90 tptp.r1 _let_89 _let_88)))) (let ((_let_92 (= _let_89 (tptp.ifeq3 _let_90 _let_90 _let_89 _let_88)))) (let ((_let_93 (tptp.meet tptp.r1 tptp.r1))) (let ((_let_94 (tptp.meet tptp.b _let_3))) (let ((_let_95 (tptp.join _let_94 _let_93))) (let ((_let_96 (tptp.join tptp.b _let_95))) (let ((_let_97 (= (tptp.join (tptp.join tptp.b _let_94) _let_93) _let_96))) (let ((_let_98 (= (tptp.join _let_96 _let_5) (tptp.join tptp.b (tptp.join _let_95 _let_5))))) (let ((_let_99 (= _let_5 (tptp.meet _let_5 _let_82)))) (let ((_let_100 (= (tptp.meet _let_89 _let_4) (tptp.meet _let_53 _let_44)))) (let ((_let_101 (= _let_69 (tptp.ifeq _let_75 _let_75 _let_69 tptp.n0)))) (let ((_let_102 (SYMM (ASSUME :args (_let_13))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_102 :args ((= tptp.true _let_9) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_104 (forall ((X $$unsorted)) (= X (tptp.meet X X))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 (forall ((X $$unsorted)) (= X (tptp.join X X))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (forall ((X $$unsorted)) (= X (tptp.join X tptp.n0))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_109))) (let ((_let_112 (_let_20))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.n0 (tptp.ifeq (tptp.complement X Y) (tptp.complement tptp.r1 (tptp.join tptp.a tptp.b)) (tptp.meet X Y) tptp.n0))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_14)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_102 :args ((forall ((X $$unsorted) (Y $$unsorted)) (= tptp.n0 (tptp.ifeq (tptp.complement X Y) tptp.true (tptp.meet X Y) tptp.n0))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_116 (_let_114))) (let ((_let_117 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 (_let_18))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 (tptp.a tptp.b QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_123 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 (tptp.b QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_127 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_127))) (let ((_let_130 (_let_19))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.join X (tptp.meet Y Z)))) (= _let_1 (tptp.ifeq3 (tptp.meet X Z) X (tptp.meet Z (tptp.join X Y)) _let_1)))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (_let_132))) (let ((_let_135 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (_let_135))) (let ((_let_138 (_let_17))) (let ((_let_139 (ASSUME :args _let_138))) (let ((_let_140 (and _let_27 _let_29 _let_31 _let_33 _let_35 _let_37 _let_38 _let_39 _let_40 _let_42 _let_43 _let_45 _let_47 _let_48 _let_50 _let_51 _let_52 _let_55 _let_56 _let_58 _let_61 _let_63 _let_64 _let_65 _let_66 _let_67 _let_73 _let_74 _let_76 _let_78 _let_80 _let_81 _let_83 _let_84 _let_85 _let_87 _let_91 _let_92 _let_97 _let_98 _let_99 _let_100 _let_101))) (let ((_let_141 (ASSUME :args (_let_99)))) (let ((_let_142 (APPLY_UF tptp.meet))) (let ((_let_143 (ASSUME :args (_let_83)))) (let ((_let_144 (APPLY_UF tptp.join))) (let ((_let_145 (REFL :args (_let_5)))) (let ((_let_146 (ASSUME :args (_let_50)))) (let ((_let_147 (SYMM _let_146))) (let ((_let_148 (REFL :args (tptp.b)))) (let ((_let_149 (ASSUME :args (_let_52)))) (let ((_let_150 (REFL :args (tptp.r1)))) (let ((_let_151 (CONG _let_150 (TRANS (SYMM (SYMM _let_149)) (CONG _let_148 _let_147 :args _let_144)) :args _let_144))) (let ((_let_152 (ASSUME :args (_let_55)))) (let ((_let_153 (SYMM _let_152))) (let ((_let_154 (ASSUME :args (_let_48)))) (let ((_let_155 (ASSUME :args (_let_33)))) (let ((_let_156 (SYMM (SYMM _let_155)))) (let ((_let_157 (TRANS (CONG _let_150 _let_156 :args _let_142) (SYMM _let_154)))) (let ((_let_158 (CONG _let_148 _let_157 :args _let_144))) (let ((_let_159 (ASSUME :args (_let_85)))) (let ((_let_160 (REFL :args (tptp.r2)))) (let ((_let_161 (CONG _let_147 _let_160 :args _let_142))) (let ((_let_162 (ASSUME :args (_let_64)))) (let ((_let_163 (ASSUME :args (_let_63)))) (let ((_let_164 (SYMM (SYMM _let_163)))) (let ((_let_165 (CONG _let_148 _let_164 :args _let_142))) (let ((_let_166 (CONG (TRANS (CONG _let_148 (TRANS _let_165 (SYMM _let_162) _let_161) :args _let_144) (SYMM _let_159)) (REFL :args (_let_93)) :args _let_144))) (let ((_let_167 (ASSUME :args (_let_97)))) (let ((_let_168 (ASSUME :args (_let_98)))) (let ((_let_169 (CONG (TRANS _let_164 (SYMM _let_161) _let_162 (SYMM _let_165)) (SYMM _let_157) :args _let_144))) (let ((_let_170 (ASSUME :args (_let_56)))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (ASSUME :args (_let_29)))) (let ((_let_173 (ASSUME :args (_let_78)))) (let ((_let_174 (REFL :args (_let_4)))) (let ((_let_175 (ASSUME :args (_let_84)))) (let ((_let_176 (ASSUME :args (_let_80)))) (let ((_let_177 (ASSUME :args (_let_45)))) (let ((_let_178 (ASSUME :args (_let_100)))) (let ((_let_179 (ASSUME :args (_let_92)))) (let ((_let_180 (APPLY_UF tptp.ifeq3))) (let ((_let_181 (ASSUME :args (_let_67)))) (let ((_let_182 (ASSUME :args (_let_91)))) (let ((_let_183 (ASSUME :args (_let_87)))) (let ((_let_184 (ASSUME :args (_let_47)))) (let ((_let_185 (ASSUME :args (_let_81)))) (let ((_let_186 (ASSUME :args (_let_31)))) (let ((_let_187 (CONG (SYMM _let_186) _let_148 :args _let_144))) (let ((_let_188 (ASSUME :args (_let_74)))) (let ((_let_189 (SYMM _let_187))) (let ((_let_190 (ASSUME :args (_let_58)))) (let ((_let_191 (TRANS (SYMM _let_190) _let_189))) (let ((_let_192 (ASSUME :args (_let_65)))) (let ((_let_193 (ASSUME :args (_let_61)))) (let ((_let_194 (ASSUME :args (_let_42)))) (let ((_let_195 (ASSUME :args (_let_66)))) (let ((_let_196 (ASSUME :args (_let_73)))) (let ((_let_197 (CONG _let_150 _let_191 :args _let_142))) (let ((_let_198 (ASSUME :args (_let_43)))) (let ((_let_199 (CONG (SYMM _let_198) (REFL :args (_let_57)) :args _let_142))) (let ((_let_200 (ASSUME :args (_let_101)))) (let ((_let_201 (APPLY_UF tptp.ifeq))) (let ((_let_202 (REFL :args (tptp.n0)))) (let ((_let_203 (ASSUME :args (_let_76)))) (let ((_let_204 (ASSUME :args (_let_37)))) (let ((_let_205 (CONG (REFL :args (_let_9)) (SYMM _let_103) (REFL :args (_let_36)) _let_202 :args _let_201))) (let ((_let_206 (ASSUME :args (_let_38)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (ASSUME :args (_let_39)))) (let ((_let_209 (ASSUME :args (_let_35)))) (let ((_let_210 (CONG (SYMM _let_209) _let_148 :args _let_142))) (let ((_let_211 (ASSUME :args (_let_40)))) (let ((_let_212 (SYMM _let_205))) (let ((_let_213 (ASSUME :args (_let_51)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_140)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_141 _let_143 _let_146 _let_149 _let_152 _let_154 _let_155 _let_159 _let_162 _let_163 _let_167 _let_168 _let_170 _let_172 _let_173 _let_175 _let_176 _let_177 _let_178 _let_179 _let_181 _let_182 _let_183 _let_184 _let_185 _let_186 _let_188 _let_190 _let_192 _let_193 _let_194 _let_195 _let_196 _let_198 _let_200 _let_103 _let_203 _let_204 _let_206 _let_208 _let_209 _let_211 _let_213) (SCOPE (TRANS _let_198 (CONG (TRANS _let_156 (CONG _let_150 (TRANS _let_204 _let_212 _let_207 (CONG _let_160 (TRANS (CONG (REFL :args (tptp.a)) (TRANS (SYMM (SYMM _let_213)) (CONG _let_148 (TRANS _let_204 _let_212 _let_207 _let_208 (SYMM _let_210) _let_211) :args _let_144) (CONG _let_148 (TRANS (SYMM _let_211) _let_210 (SYMM _let_208) (SYMM _let_207) _let_205 (SYMM _let_204) (SYMM (SYMM _let_203)) (CONG (REFL :args (_let_75)) (CONG _let_150 _let_189 :args (APPLY_UF tptp.complement)) (REFL :args (_let_69)) _let_202 :args _let_201) (SYMM _let_200) (SYMM _let_197) (SYMM _let_199)) :args _let_144) (CONG _let_148 (TRANS _let_199 _let_197) :args _let_144) (SYMM (SYMM _let_196)) (CONG (REFL :args (_let_72)) (TRANS (SYMM (SYMM _let_195)) (CONG _let_148 (SYMM _let_194) :args _let_144) (SYMM (SYMM _let_193)) (CONG (REFL :args (_let_49)) _let_146 (REFL :args (_let_60)) (REFL :args (_let_59)) :args _let_180) (SYMM _let_192) (CONG _let_148 _let_191 :args _let_142)) (REFL :args (_let_71)) (REFL :args (_let_70)) :args _let_180) (SYMM _let_188) (CONG (REFL :args (_let_68)) _let_153 :args _let_142) (CONG _let_187 _let_152 :args _let_142)) :args _let_142) (SYMM _let_185) (CONG (SYMM _let_184) (REFL :args (_let_53)) :args _let_142)) :args _let_142) (SYMM _let_183)) :args _let_144) (SYMM (SYMM _let_182)) (CONG (REFL :args (_let_90)) (TRANS (SYMM (SYMM _let_181)) (CONG _let_150 _let_152 :args _let_142)) (REFL :args (_let_89)) (REFL :args (_let_88)) :args _let_180) (SYMM _let_179)) _let_174 :args _let_142) (SYMM (SYMM _let_178)) (CONG (TRANS _let_153 _let_151) (SYMM _let_177) :args _let_142) (SYMM (SYMM _let_176)) (CONG _let_145 (TRANS (SYMM _let_151) _let_152 (SYMM _let_158) (SYMM _let_166) _let_167 (CONG _let_148 (TRANS (SYMM _let_169) _let_171 (SYMM (SYMM _let_175)) (CONG _let_174 (TRANS (SYMM _let_173) (CONG (SYMM _let_172) (REFL :args (_let_2)) :args _let_142)) :args _let_144) (CONG (TRANS (SYMM _let_171) _let_169) _let_145 :args _let_144)) :args _let_144) (SYMM _let_168) (CONG (TRANS (TRANS (SYMM _let_167) _let_166 _let_158 _let_153) _let_151) _let_145 :args _let_144) (SYMM _let_143)) :args _let_142) (SYMM _let_141)) :args (_let_99 _let_83 _let_50 _let_52 _let_55 _let_48 _let_33 _let_85 _let_64 _let_63 _let_97 _let_98 _let_56 _let_29 _let_78 _let_84 _let_80 _let_45 _let_100 _let_92 _let_67 _let_91 _let_87 _let_47 _let_81 _let_31 _let_74 _let_58 _let_65 _let_61 _let_42 _let_66 _let_73 _let_43 _let_101 _let_27 _let_76 _let_37 _let_38 _let_39 _let_35 _let_40 _let_51))) :args (_let_27 _let_29 _let_31 _let_33 _let_35 _let_37 _let_38 _let_39 _let_40 _let_42 _let_43 _let_45 _let_47 _let_48 _let_50 _let_51 _let_52 _let_55 _let_56 _let_58 _let_61 _let_63 _let_64 _let_65 _let_66 _let_67 _let_73 _let_74 _let_76 _let_78 _let_80 _let_81 _let_83 _let_84 _let_85 _let_87 _let_91 _let_92 _let_97 _let_98 _let_99 _let_100 _let_101))) :args (true _let_140)) :args ((or _let_6 (not _let_27) (not _let_29) (not _let_31) (not _let_33) (not _let_35) (not _let_37) (not _let_38) (not _let_39) (not _let_40) (not _let_42) (not _let_43) (not _let_45) (not _let_47) (not _let_48) (not _let_50) (not _let_51) (not _let_52) (not _let_55) (not _let_56) (not _let_58) (not _let_61) (not _let_63) (not _let_64) (not _let_65) (not _let_66) (not _let_67) (not _let_73) (not _let_74) (not _let_76) (not _let_78) (not _let_80) (not _let_81) (not _let_83) (not _let_84) (not _let_85) (not _let_87) (not _let_91) (not _let_92) (not _let_97) (not _let_98) (not _let_99) (not _let_100) (not _let_101)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_75 _let_69 tptp.n0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_119)) _let_118 :args (_let_101 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_53 _let_2 _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_120)) _let_121 :args (_let_100 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_5 _let_79 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_125)) _let_124 :args (_let_99 false _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.b _let_95 _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_138)) _let_139 :args (_let_98 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.b _let_94 _let_93 QUANTIFIERS_INST_CBQI_PROP)) :args _let_138)) _let_139 :args (_let_97 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (_let_90 _let_89 _let_88 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_137)) _let_136 :args (_let_92 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.r1 _let_53 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_134)) _let_133 :args (_let_91 false _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.r2 tptp.a _let_53 QUANTIFIERS_INST_CBQI_PROP)) :args _let_120)) _let_121 :args (_let_87 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.b tptp.r2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_129)) _let_128 :args (_let_85 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_4 _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_129)) _let_128 :args (_let_84 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (_let_5 _let_79 QUANTIFIERS_INST_CBQI_PROP)) :args _let_130)) _let_131 :args (_let_83 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.a _let_11 _let_53 QUANTIFIERS_INST_CBQI_PROP)) :args _let_120)) _let_121 :args (_let_81 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_79 _let_5 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_112)) _let_113 :args (_let_80 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_4 _let_4 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_120)) _let_121 :args (_let_78 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.r1 _let_68 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_116)) _let_115 :args (_let_76 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (_let_72 _let_71 _let_70 QUANTIFIERS_INST_CBQI_PROP)) :args _let_137)) _let_136 :args (_let_74 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.b _let_68 tptp.r1 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_134)) _let_133 :args (_let_73 false _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.r1 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_125)) _let_124 :args (_let_67 false _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.b tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_129)) _let_128 :args (_let_66 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (_let_49 _let_60 _let_59 QUANTIFIERS_INST_CBQI_PROP)) :args _let_137)) _let_136 :args (_let_65 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.b tptp.b tptp.r2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_120)) _let_121 :args (_let_64 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.r2 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_112)) _let_113 :args (_let_63 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.b tptp.b tptp.a QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_134)) _let_133 :args (_let_61 false _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.a tptp.b QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_130)) _let_131 :args (_let_58 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.r1 _let_3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_130)) _let_131 :args (_let_56 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.r1 tptp.b QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_130)) _let_131 :args (_let_55 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.b tptp.b QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_129)) _let_128 :args (_let_52 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args _let_126) :args _let_111)) _let_110 :args (_let_51 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_126) :args _let_106)) _let_105 :args (_let_50 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.r1 tptp.n0 QUANTIFIERS_INST_CBQI_PROP)) :args _let_125)) _let_124 :args (_let_48 false _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_122) :args _let_125)) _let_124 :args (_let_47 false _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_4 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_112)) _let_113 :args (_let_45 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.r1 _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_125)) _let_124 :args (_let_43 false _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_122) :args _let_112)) _let_113 :args (_let_42 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.a tptp.r2 tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_120)) _let_121 :args (_let_40 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.r2 tptp.a tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_120))) _let_121 :args (_let_39 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_9 _let_36 tptp.n0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_119)) _let_118 :args (_let_38 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.r2 _let_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_116)) _let_115 :args (_let_37 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.r2 tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_112)) _let_113 :args (_let_35 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.r1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_111)) _let_110 :args (_let_33 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args (_let_107))) _let_108 :args (_let_31 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_106)) _let_105 :args (_let_29 false _let_104)) (ASSUME :args (_let_7)) _let_103 :args (false false _let_101 false _let_100 false _let_99 false _let_98 false _let_97 false _let_92 false _let_91 false _let_87 false _let_85 false _let_84 false _let_83 false _let_81 false _let_80 false _let_78 false _let_76 false _let_74 false _let_73 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_58 false _let_56 false _let_55 false _let_52 false _let_51 false _let_50 false _let_48 false _let_47 false _let_45 false _let_43 false _let_42 false _let_40 false _let_39 false _let_38 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 true _let_6 false _let_27)) :args (_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)) _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 (forall ((X $$unsorted)) (= (tptp.meet X tptp.n0) tptp.n0)) _let_16 (forall ((X $$unsorted)) (= (tptp.meet X tptp.n1) X)) (forall ((X $$unsorted)) (= (tptp.join X tptp.n1) tptp.n1)) _let_15 _let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ifeq (tptp.complement X Y) tptp.true (tptp.join X Y) tptp.n1) tptp.n1)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ifeq2 (tptp.join X Y) tptp.n1 (tptp.ifeq2 (tptp.meet X Y) tptp.n0 (tptp.complement X Y) tptp.true) tptp.true) tptp.true)) _let_13 _let_10 _let_7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 24.52/24.72 )
% 24.52/24.73 % SZS output end Proof for LAT005-10
% 24.52/24.73 % cvc5---1.0.5 exiting
% 24.52/24.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------