TSTP Solution File: GRP181-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP181-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 00:25:01 EDT 2023
% Result : Unsatisfiable 54.67s 54.88s
% Output : Proof 54.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP181-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n007.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 : Mon Aug 28 23:17:13 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.n773d0fpkp/cvc5---1.0.5_701.p...
% 0.21/0.52 ------- get file name : TPTP file name is GRP181-3
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_701.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.67/10.86 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.64/15.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.75/20.92 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.76/25.98 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.85/31.06 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.96/36.15 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 41.05/41.23 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.14/46.32 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.15/51.40 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 54.67/54.88 % SZS status Unsatisfiable for GRP181-3
% 54.67/54.88 % SZS output start Proof for GRP181-3
% 54.67/54.88 (
% 54.67/54.88 (let ((_let_1 (= tptp.a tptp.b))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.inverse (tptp.least_upper_bound X Y)) (tptp.greatest_lower_bound (tptp.inverse X) (tptp.inverse Y)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.inverse (tptp.greatest_lower_bound X Y)) (tptp.least_upper_bound (tptp.inverse X) (tptp.inverse Y)))))) (let ((_let_5 (tptp.least_upper_bound tptp.b tptp.c))) (let ((_let_6 (tptp.least_upper_bound tptp.a tptp.c))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (tptp.greatest_lower_bound tptp.b tptp.c))) (let ((_let_9 (tptp.greatest_lower_bound tptp.a tptp.c))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_12 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_22 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_23 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_24 (tptp.least_upper_bound tptp.a _let_9))) (let ((_let_25 (= tptp.a _let_24))) (let ((_let_26 (tptp.greatest_lower_bound tptp.a _let_6))) (let ((_let_27 (= tptp.a _let_26))) (let ((_let_28 (tptp.inverse tptp.c))) (let ((_let_29 (tptp.inverse tptp.a))) (let ((_let_30 (tptp.least_upper_bound _let_29 _let_28))) (let ((_let_31 (tptp.inverse _let_9))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (tptp.inverse tptp.b))) (let ((_let_34 (tptp.least_upper_bound _let_33 _let_28))) (let ((_let_35 (= (tptp.inverse _let_8) _let_34))) (let ((_let_36 (tptp.greatest_lower_bound _let_29 _let_28))) (let ((_let_37 (tptp.inverse _let_6))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (tptp.greatest_lower_bound _let_33 _let_28))) (let ((_let_40 (= (tptp.inverse _let_5) _let_39))) (let ((_let_41 (tptp.multiply _let_29 tptp.a))) (let ((_let_42 (= tptp.identity _let_41))) (let ((_let_43 (tptp.multiply _let_28 tptp.c))) (let ((_let_44 (= tptp.identity _let_43))) (let ((_let_45 (tptp.multiply _let_33 tptp.b))) (let ((_let_46 (= tptp.identity _let_45))) (let ((_let_47 (= tptp.identity (tptp.multiply _let_31 _let_9)))) (let ((_let_48 (= tptp.identity (tptp.multiply _let_37 _let_6)))) (let ((_let_49 (= _let_26 (tptp.greatest_lower_bound _let_6 tptp.a)))) (let ((_let_50 (tptp.greatest_lower_bound _let_28 _let_29))) (let ((_let_51 (= _let_36 _let_50))) (let ((_let_52 (tptp.greatest_lower_bound _let_28 _let_33))) (let ((_let_53 (= _let_39 _let_52))) (let ((_let_54 (= _let_24 (tptp.least_upper_bound _let_9 tptp.a)))) (let ((_let_55 (tptp.least_upper_bound _let_28 _let_29))) (let ((_let_56 (= _let_30 _let_55))) (let ((_let_57 (tptp.least_upper_bound _let_28 _let_33))) (let ((_let_58 (= _let_34 _let_57))) (let ((_let_59 (tptp.least_upper_bound _let_33 _let_39))) (let ((_let_60 (= _let_33 _let_59))) (let ((_let_61 (tptp.greatest_lower_bound _let_33 _let_34))) (let ((_let_62 (= _let_33 _let_61))) (let ((_let_63 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_64 (tptp.least_upper_bound _let_39 _let_33))) (let ((_let_65 (= _let_59 _let_64))) (let ((_let_66 (tptp.greatest_lower_bound _let_34 _let_33))) (let ((_let_67 (= _let_61 _let_66))) (let ((_let_68 (tptp.inverse _let_33))) (let ((_let_69 (tptp.multiply _let_68 _let_33))) (let ((_let_70 (= tptp.identity _let_69))) (let ((_let_71 (tptp.multiply _let_33 _let_9))) (let ((_let_72 (tptp.multiply _let_28 _let_9))) (let ((_let_73 (tptp.least_upper_bound _let_72 _let_71))) (let ((_let_74 (= (tptp.multiply _let_57 _let_9) _let_73))) (let ((_let_75 (tptp.multiply _let_33 _let_6))) (let ((_let_76 (tptp.multiply _let_28 _let_6))) (let ((_let_77 (tptp.greatest_lower_bound _let_76 _let_75))) (let ((_let_78 (= (tptp.multiply _let_52 _let_6) _let_77))) (let ((_let_79 (= tptp.b (tptp.multiply tptp.identity tptp.b)))) (let ((_let_80 (= _let_9 (tptp.multiply tptp.identity _let_9)))) (let ((_let_81 (= _let_6 (tptp.multiply tptp.identity _let_6)))) (let ((_let_82 (= _let_77 (tptp.greatest_lower_bound _let_75 _let_76)))) (let ((_let_83 (= _let_73 (tptp.least_upper_bound _let_71 _let_72)))) (let ((_let_84 (tptp.multiply _let_33 tptp.a))) (let ((_let_85 (tptp.multiply _let_68 _let_84))) (let ((_let_86 (= (tptp.multiply _let_69 tptp.a) _let_85))) (let ((_let_87 (tptp.multiply _let_68 _let_71))) (let ((_let_88 (= (tptp.multiply _let_69 _let_9) _let_87))) (let ((_let_89 (tptp.multiply _let_68 _let_75))) (let ((_let_90 (= (tptp.multiply _let_69 _let_6) _let_89))) (let ((_let_91 (tptp.multiply _let_68 _let_45))) (let ((_let_92 (= (tptp.multiply _let_69 tptp.b) _let_91))) (let ((_let_93 (tptp.multiply _let_28 tptp.a))) (let ((_let_94 (= _let_76 (tptp.least_upper_bound _let_93 _let_43)))) (let ((_let_95 (= _let_72 (tptp.greatest_lower_bound _let_93 _let_43)))) (let ((_let_96 (= (tptp.multiply _let_55 tptp.a) (tptp.least_upper_bound _let_93 _let_41)))) (let ((_let_97 (= (tptp.multiply _let_50 tptp.a) (tptp.greatest_lower_bound _let_93 _let_41)))) (let ((_let_98 (tptp.multiply _let_39 tptp.a))) (let ((_let_99 (tptp.least_upper_bound _let_98 _let_84))) (let ((_let_100 (= (tptp.multiply _let_64 tptp.a) _let_99))) (let ((_let_101 (tptp.multiply _let_34 tptp.a))) (let ((_let_102 (tptp.greatest_lower_bound _let_101 _let_84))) (let ((_let_103 (= (tptp.multiply _let_66 tptp.a) _let_102))) (let ((_let_104 (= (tptp.multiply _let_68 (tptp.greatest_lower_bound _let_75 _let_84)) (tptp.greatest_lower_bound _let_89 _let_85)))) (let ((_let_105 (= (tptp.multiply _let_68 (tptp.greatest_lower_bound _let_45 _let_84)) (tptp.greatest_lower_bound _let_91 _let_85)))) (let ((_let_106 (= (tptp.multiply _let_68 (tptp.least_upper_bound _let_71 _let_84)) (tptp.least_upper_bound _let_87 _let_85)))) (let ((_let_107 (= (tptp.multiply _let_68 (tptp.least_upper_bound _let_45 _let_84)) (tptp.least_upper_bound _let_91 _let_85)))) (let ((_let_108 (= tptp.b (tptp.least_upper_bound tptp.b (tptp.greatest_lower_bound tptp.b tptp.a))))) (let ((_let_109 (= (tptp.greatest_lower_bound _let_75 _let_102) (tptp.greatest_lower_bound (tptp.greatest_lower_bound _let_75 _let_101) _let_84)))) (let ((_let_110 (= (tptp.least_upper_bound _let_71 _let_99) (tptp.least_upper_bound (tptp.least_upper_bound _let_71 _let_98) _let_84)))) (let ((_let_111 (ASSUME :args (_let_10)))) (let ((_let_112 (ASSUME :args (_let_7)))) (let ((_let_113 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 ((tptp.greatest_lower_bound X Y)))) (let ((_let_117 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((tptp.least_upper_bound X Y)))) (let ((_let_121 (_let_4))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 ((tptp.greatest_lower_bound X Y)))) (let ((_let_124 (_let_3))) (let ((_let_125 (ASSUME :args _let_124))) (let ((_let_126 ((tptp.least_upper_bound X Y)))) (let ((_let_127 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_127))) (let ((_let_130 ((tptp.inverse X)))) (let ((_let_131 (_let_20))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 ((tptp.greatest_lower_bound X Y)))) (let ((_let_134 (_let_19))) (let ((_let_135 (ASSUME :args _let_134))) (let ((_let_136 ((tptp.least_upper_bound X Y)))) (let ((_let_137 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (_let_137))) (let ((_let_140 (_let_12))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) (let ((_let_143 (_let_11))) (let ((_let_144 (ASSUME :args _let_143))) (let ((_let_145 ((tptp.multiply (tptp.greatest_lower_bound Y Z) X)))) (let ((_let_146 (_let_21))) (let ((_let_147 (ASSUME :args _let_146))) (let ((_let_148 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_149 (_let_14))) (let ((_let_150 (ASSUME :args _let_149))) (let ((_let_151 (_let_13))) (let ((_let_152 (ASSUME :args _let_151))) (let ((_let_153 (_let_28 _let_29 tptp.a QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_154 ((tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z))))) (let ((_let_155 ((tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z))))) (let ((_let_156 (_let_18))) (let ((_let_157 (ASSUME :args _let_156))) (let ((_let_158 (_let_17))) (let ((_let_159 (ASSUME :args _let_158))) (let ((_let_160 (and _let_10 _let_7 _let_25 _let_27 _let_32 _let_35 _let_38 _let_40 _let_42 _let_44 _let_46 _let_47 _let_48 _let_49 _let_51 _let_53 _let_54 _let_56 _let_58 _let_60 _let_62 _let_63 _let_65 _let_67 _let_70 _let_74 _let_78 _let_79 _let_80 _let_81 _let_82 _let_83 _let_86 _let_88 _let_90 _let_92 _let_94 _let_95 _let_96 _let_97 _let_100 _let_103 _let_104 _let_105 _let_106 _let_107 _let_108 _let_109 _let_110))) (let ((_let_161 (ASSUME :args (_let_108)))) (let ((_let_162 (APPLY_UF tptp.least_upper_bound))) (let ((_let_163 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_164 (ASSUME :args (_let_63)))) (let ((_let_165 (APPLY_UF tptp.multiply))) (let ((_let_166 (REFL :args (tptp.a)))) (let ((_let_167 (ASSUME :args (_let_70)))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (ASSUME :args (_let_86)))) (let ((_let_170 (TRANS (SYMM _let_169) (CONG _let_168 _let_166 :args _let_165) (SYMM _let_164)))) (let ((_let_171 (ASSUME :args (_let_79)))) (let ((_let_172 (REFL :args (tptp.b)))) (let ((_let_173 (ASSUME :args (_let_92)))) (let ((_let_174 (TRANS (SYMM _let_173) (CONG _let_168 _let_172 :args _let_165) (SYMM _let_171)))) (let ((_let_175 (ASSUME :args (_let_105)))) (let ((_let_176 (REFL :args (_let_84)))) (let ((_let_177 (ASSUME :args (_let_46)))) (let ((_let_178 (SYMM (SYMM _let_177)))) (let ((_let_179 (ASSUME :args (_let_47)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (SYMM _let_111))) (let ((_let_182 (APPLY_UF tptp.inverse))) (let ((_let_183 (CONG _let_181 :args _let_182))) (let ((_let_184 (ASSUME :args (_let_35)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (TRANS _let_185 _let_183))) (let ((_let_187 (TRANS (CONG _let_186 _let_181 :args _let_165) _let_180))) (let ((_let_188 (ASSUME :args (_let_48)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (REFL :args (_let_6)))) (let ((_let_191 (SYMM _let_112))) (let ((_let_192 (CONG _let_191 :args _let_182))) (let ((_let_193 (ASSUME :args (_let_40)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (ASSUME :args (_let_53)))) (let ((_let_196 (ASSUME :args (_let_78)))) (let ((_let_197 (ASSUME :args (_let_82)))) (let ((_let_198 (ASSUME :args (_let_94)))) (let ((_let_199 (ASSUME :args (_let_44)))) (let ((_let_200 (ASSUME :args (_let_42)))) (let ((_let_201 (TRANS (SYMM _let_200) (SYMM (SYMM _let_199))))) (let ((_let_202 (REFL :args (_let_93)))) (let ((_let_203 (ASSUME :args (_let_96)))) (let ((_let_204 (ASSUME :args (_let_56)))) (let ((_let_205 (ASSUME :args (_let_32)))) (let ((_let_206 (REFL :args (_let_75)))) (let ((_let_207 (ASSUME :args (_let_109)))) (let ((_let_208 (ASSUME :args (_let_103)))) (let ((_let_209 (ASSUME :args (_let_67)))) (let ((_let_210 (ASSUME :args (_let_62)))) (let ((_let_211 (REFL :args (_let_68)))) (let ((_let_212 (ASSUME :args (_let_104)))) (let ((_let_213 (SYMM _let_170))) (let ((_let_214 (ASSUME :args (_let_90)))) (let ((_let_215 (ASSUME :args (_let_81)))) (let ((_let_216 (ASSUME :args (_let_49)))) (let ((_let_217 (ASSUME :args (_let_27)))) (let ((_let_218 (ASSUME :args (_let_107)))) (let ((_let_219 (TRANS _let_194 _let_192))) (let ((_let_220 (TRANS (CONG _let_219 _let_191 :args _let_165) _let_189))) (let ((_let_221 (REFL :args (_let_9)))) (let ((_let_222 (ASSUME :args (_let_58)))) (let ((_let_223 (ASSUME :args (_let_74)))) (let ((_let_224 (ASSUME :args (_let_83)))) (let ((_let_225 (ASSUME :args (_let_95)))) (let ((_let_226 (ASSUME :args (_let_97)))) (let ((_let_227 (ASSUME :args (_let_51)))) (let ((_let_228 (ASSUME :args (_let_38)))) (let ((_let_229 (REFL :args (_let_71)))) (let ((_let_230 (ASSUME :args (_let_110)))) (let ((_let_231 (ASSUME :args (_let_100)))) (let ((_let_232 (ASSUME :args (_let_65)))) (let ((_let_233 (ASSUME :args (_let_60)))) (let ((_let_234 (ASSUME :args (_let_106)))) (let ((_let_235 (ASSUME :args (_let_88)))) (let ((_let_236 (ASSUME :args (_let_80)))) (let ((_let_237 (ASSUME :args (_let_54)))) (let ((_let_238 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_160)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_161 _let_171 _let_167 _let_173 _let_164 _let_169 _let_175 _let_177 _let_179 _let_111 _let_184 _let_188 _let_112 _let_193 _let_195 _let_196 _let_197 _let_198 _let_199 _let_200 _let_203 _let_204 _let_205 _let_207 _let_208 _let_209 _let_210 _let_212 _let_214 _let_215 _let_216 _let_217 _let_218 _let_222 _let_223 _let_224 _let_225 _let_226 _let_227 _let_228 _let_230 _let_231 _let_232 _let_233 _let_234 _let_235 _let_236 _let_237 _let_238) (SCOPE (TRANS (SYMM (SYMM _let_238)) (SYMM (SYMM _let_237)) (CONG (TRANS (SYMM (SYMM _let_236)) (CONG _let_167 _let_221 :args _let_165) (SYMM (SYMM _let_235))) _let_213 :args _let_162) (SYMM _let_234) (CONG _let_211 (TRANS (CONG _let_229 (TRANS (CONG (TRANS (SYMM (SYMM _let_233)) (SYMM (SYMM _let_232))) _let_166 :args _let_165) (SYMM (SYMM _let_231))) :args _let_162) (SYMM (SYMM _let_230)) (CONG (TRANS (TRANS (CONG _let_229 (TRANS (CONG _let_219 _let_166 :args _let_165) (CONG (TRANS (SYMM (SYMM _let_228)) (SYMM (SYMM _let_227))) _let_166 :args _let_165) (SYMM (SYMM _let_226)) (CONG _let_202 _let_201 :args _let_163) (SYMM _let_225)) :args _let_162) (SYMM _let_224) (SYMM _let_223) (CONG (TRANS (SYMM _let_222) _let_185 _let_183) _let_221 :args _let_165) _let_180) (SYMM _let_220)) _let_176 :args _let_162) (CONG (TRANS _let_220 _let_178) _let_176 :args _let_162)) :args _let_165) (SYMM (SYMM _let_218)) (CONG _let_174 _let_170 :args _let_162) (CONG _let_172 (TRANS (SYMM (SYMM _let_217)) (SYMM (SYMM _let_216)) (CONG (TRANS (SYMM (SYMM _let_215)) (CONG _let_167 _let_190 :args _let_165) (SYMM (SYMM _let_214))) _let_213 :args _let_163) (SYMM _let_212) (CONG _let_211 (TRANS (CONG _let_206 (TRANS (CONG (TRANS (SYMM (SYMM _let_210)) (SYMM (SYMM _let_209))) _let_166 :args _let_165) (SYMM (SYMM _let_208))) :args _let_163) (SYMM (SYMM _let_207)) (CONG (TRANS (TRANS (CONG _let_206 (TRANS (CONG _let_186 _let_166 :args _let_165) (CONG (TRANS (SYMM (SYMM _let_205)) (SYMM (SYMM _let_204))) _let_166 :args _let_165) (SYMM (SYMM _let_203)) (CONG _let_202 _let_201 :args _let_162) (SYMM _let_198)) :args _let_163) (SYMM _let_197) (SYMM _let_196) (CONG (TRANS (SYMM _let_195) _let_194 _let_192) _let_190 :args _let_165) _let_189) (SYMM _let_187)) _let_176 :args _let_163) (CONG (TRANS _let_187 _let_178) _let_176 :args _let_163)) :args _let_165) (SYMM (SYMM _let_175)) (CONG _let_174 _let_170 :args _let_163)) :args _let_162) (SYMM _let_161)) :args (_let_108 _let_79 _let_70 _let_92 _let_63 _let_86 _let_105 _let_46 _let_47 _let_10 _let_35 _let_48 _let_7 _let_40 _let_53 _let_78 _let_82 _let_94 _let_44 _let_42 _let_96 _let_56 _let_32 _let_109 _let_103 _let_67 _let_62 _let_104 _let_90 _let_81 _let_49 _let_27 _let_107 _let_58 _let_74 _let_83 _let_95 _let_97 _let_51 _let_38 _let_110 _let_100 _let_65 _let_60 _let_106 _let_88 _let_80 _let_54 _let_25))) :args (_let_10 _let_7 _let_25 _let_27 _let_32 _let_35 _let_38 _let_40 _let_42 _let_44 _let_46 _let_47 _let_48 _let_49 _let_51 _let_53 _let_54 _let_56 _let_58 _let_60 _let_62 _let_63 _let_65 _let_67 _let_70 _let_74 _let_78 _let_79 _let_80 _let_81 _let_82 _let_83 _let_86 _let_88 _let_90 _let_92 _let_94 _let_95 _let_96 _let_97 _let_100 _let_103 _let_104 _let_105 _let_106 _let_107 _let_108 _let_109 _let_110))) :args (true _let_160)) :args ((or _let_1 (not _let_10) (not _let_7) (not _let_25) (not _let_27) (not _let_32) (not _let_35) (not _let_38) (not _let_40) (not _let_42) (not _let_44) (not _let_46) (not _let_47) (not _let_48) (not _let_49) (not _let_51) (not _let_53) (not _let_54) (not _let_56) (not _let_58) (not _let_60) (not _let_62) (not _let_63) (not _let_65) (not _let_67) (not _let_70) (not _let_74) (not _let_78) (not _let_79) (not _let_80) (not _let_81) (not _let_82) (not _let_83) (not _let_86) (not _let_88) (not _let_90) (not _let_92) (not _let_94) (not _let_95) (not _let_96) (not _let_97) (not _let_100) (not _let_103) (not _let_104) (not _let_105) (not _let_106) (not _let_107) (not _let_108) (not _let_109) (not _let_110)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_71 _let_98 _let_84 QUANTIFIERS_INST_CBQI_PROP)) :args _let_158)) _let_159 :args (_let_110 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_75 _let_101 _let_84 QUANTIFIERS_INST_CBQI_PROP)) :args _let_156)) _let_157 :args (_let_109 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_108 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_68 _let_45 _let_84 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_149)) _let_150 :args (_let_107 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_68 _let_71 _let_84 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_149)) _let_150 :args (_let_106 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_68 _let_45 _let_84 QUANTIFIERS_INST_E_MATCHING _let_154)) :args _let_151)) _let_152 :args (_let_105 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_68 _let_75 _let_84 QUANTIFIERS_INST_E_MATCHING _let_154)) :args _let_151)) _let_152 :args (_let_104 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_34 _let_33 tptp.a QUANTIFIERS_INST_E_MATCHING _let_145)) :args _let_143)) _let_144 :args (_let_103 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_39 _let_33 tptp.a QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_140)) _let_141 :args (_let_100 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args _let_153) :args _let_143)) _let_144 :args (_let_97 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args _let_153) :args _let_140)) _let_141 :args (_let_96 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_28 tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.greatest_lower_bound Y Z))))) :args _let_151)) _let_152 :args (_let_95 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_28 tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.least_upper_bound Y Z))))) :args _let_149)) _let_150 :args (_let_94 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_68 _let_33 tptp.b QUANTIFIERS_INST_E_MATCHING _let_148)) :args _let_146)) _let_147 :args (_let_92 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_68 _let_33 _let_6 QUANTIFIERS_INST_E_MATCHING _let_148)) :args _let_146)) _let_147 :args (_let_90 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_68 _let_33 _let_9 QUANTIFIERS_INST_E_MATCHING _let_148)) :args _let_146)) _let_147 :args (_let_88 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_68 _let_33 tptp.a QUANTIFIERS_INST_E_MATCHING _let_148)) :args _let_146)) _let_147 :args (_let_86 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (_let_72 _let_71 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_134)) _let_135 :args (_let_83 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (_let_76 _let_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_133)) :args _let_131)) _let_132 :args (_let_82 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_139)) _let_138 :args (_let_81 false _let_137)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_9 QUANTIFIERS_INST_CBQI_PROP)) :args _let_139)) _let_138 :args (_let_80 false _let_137)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.b QUANTIFIERS_INST_ENUM)) :args _let_139)) _let_138 :args (_let_79 false _let_137)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_28 _let_33 _let_6 QUANTIFIERS_INST_E_MATCHING _let_145)) :args _let_143)) _let_144 :args (_let_78 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_28 _let_33 _let_9 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_140)) _let_141 :args (_let_74 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_70 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (_let_33 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_133)) :args _let_131)) _let_132 :args (_let_67 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (_let_33 _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_134)) _let_135 :args (_let_65 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_139)) _let_138 :args (_let_63 false _let_137)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_33 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_62 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_33 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_60 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (_let_33 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_134)) _let_135 :args (_let_58 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (_let_29 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_134)) _let_135 :args (_let_56 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.a _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_134)) _let_135 :args (_let_54 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (_let_33 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_133)) :args _let_131)) _let_132 :args (_let_53 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (_let_29 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_133)) :args _let_131)) _let_132 :args (_let_51 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.a _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_133)) :args _let_131)) _let_132 :args (_let_49 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_48 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_47 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_46 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_44 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_42 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_124)) _let_125 :args (_let_40 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_124)) _let_125 :args (_let_38 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_35 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_32 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_27 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_25 false _let_113)) (ASSUME :args (_let_2)) _let_112 _let_111 :args (false false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_105 false _let_104 false _let_103 false _let_100 false _let_97 false _let_96 false _let_95 false _let_94 false _let_92 false _let_90 false _let_88 false _let_86 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_74 false _let_70 false _let_67 false _let_65 false _let_63 false _let_62 false _let_60 false _let_58 false _let_56 false _let_54 false _let_53 false _let_51 false _let_49 false _let_48 false _let_47 false _let_46 false _let_44 false _let_42 false _let_40 false _let_38 false _let_35 false _let_32 false _let_27 false _let_25 true _let_1 false _let_7 false _let_10)) :args (_let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_7 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 54.67/54.88 )
% 54.67/54.89 % SZS output end Proof for GRP181-3
% 54.67/54.90 % cvc5---1.0.5 exiting
% 54.67/54.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------