TSTP Solution File: GRP179-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP179-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 00:25:00 EDT 2023
% Result : Unsatisfiable 53.99s 54.23s
% Output : Proof 53.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GRP179-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n016.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 01:22:00 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8dgoJJOCkS/cvc5---1.0.5_3288.p...
% 0.22/0.53 ------- get file name : TPTP file name is GRP179-2
% 0.22/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3288.smt2...
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.57/10.83 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.69/15.86 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.69/20.89 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.73/25.94 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.83/31.04 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.82/36.13 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 41.04/41.24 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.13/46.36 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.22/51.47 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 53.99/54.23 % SZS status Unsatisfiable for GRP179-2
% 53.99/54.23 % SZS output start Proof for GRP179-2
% 53.99/54.24 (
% 53.99/54.24 (let ((_let_1 (tptp.greatest_lower_bound tptp.a tptp.identity))) (let ((_let_2 (tptp.inverse _let_1))) (let ((_let_3 (tptp.inverse tptp.a))) (let ((_let_4 (tptp.least_upper_bound _let_3 tptp.identity))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_8 (forall ((Y $$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_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_10 (forall ((X $$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_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_16 (forall ((X $$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_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_20 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_21 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_22 (tptp.greatest_lower_bound tptp.identity tptp.a))) (let ((_let_23 (tptp.multiply _let_2 tptp.identity))) (let ((_let_24 (tptp.multiply _let_23 _let_22))) (let ((_let_25 (= (tptp.multiply _let_24 _let_2) (tptp.multiply _let_23 (tptp.multiply _let_22 _let_2))))) (let ((_let_26 (_let_19))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.inverse _let_2))) (let ((_let_29 (tptp.multiply _let_28 _let_23))) (let ((_let_30 (= (tptp.multiply _let_29 _let_22) (tptp.multiply _let_28 _let_24)))) (let ((_let_31 (tptp.multiply tptp.identity _let_2))) (let ((_let_32 (= (tptp.multiply (tptp.multiply _let_28 tptp.identity) _let_2) (tptp.multiply _let_28 _let_31)))) (let ((_let_33 (tptp.multiply _let_28 _let_2))) (let ((_let_34 (= (tptp.multiply _let_33 tptp.identity) _let_29))) (let ((_let_35 (tptp.multiply _let_1 _let_4))) (let ((_let_36 (tptp.multiply _let_2 _let_1))) (let ((_let_37 (= (tptp.multiply _let_36 _let_4) (tptp.multiply _let_2 _let_35)))) (let ((_let_38 (tptp.multiply _let_3 tptp.a))) (let ((_let_39 (tptp.multiply _let_4 _let_1))) (let ((_let_40 (= _let_39 (tptp.greatest_lower_bound _let_39 (tptp.least_upper_bound _let_39 _let_38))))) (let ((_let_41 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_42 (tptp.multiply _let_4 tptp.identity))) (let ((_let_43 (tptp.multiply _let_4 tptp.a))) (let ((_let_44 (tptp.greatest_lower_bound _let_43 _let_42))) (let ((_let_45 (tptp.greatest_lower_bound _let_42 _let_41))) (let ((_let_46 (= (tptp.greatest_lower_bound _let_43 _let_45) (tptp.greatest_lower_bound _let_44 _let_41)))) (let ((_let_47 (tptp.multiply _let_1 tptp.identity))) (let ((_let_48 (tptp.multiply _let_3 _let_1))) (let ((_let_49 (= (tptp.multiply _let_48 tptp.identity) (tptp.multiply _let_3 _let_47)))) (let ((_let_50 (tptp.multiply tptp.a _let_3))) (let ((_let_51 (tptp.greatest_lower_bound tptp.identity _let_3))) (let ((_let_52 (tptp.multiply _let_51 tptp.a))) (let ((_let_53 (= (tptp.multiply _let_52 _let_3) (tptp.multiply _let_51 _let_50)))) (let ((_let_54 (= (tptp.multiply _let_38 _let_3) (tptp.multiply _let_3 _let_50)))) (let ((_let_55 (= tptp.identity _let_33))) (let ((_let_56 (= _let_2 _let_31))) (let ((_let_57 (tptp.multiply _let_3 tptp.identity))) (let ((_let_58 (= _let_42 (tptp.least_upper_bound _let_57 _let_41)))) (let ((_let_59 (tptp.least_upper_bound _let_48 _let_22))) (let ((_let_60 (tptp.least_upper_bound _let_38 _let_59))) (let ((_let_61 (= _let_60 (tptp.least_upper_bound _let_59 _let_38)))) (let ((_let_62 (= _let_35 (tptp.least_upper_bound (tptp.multiply _let_1 _let_3) _let_47)))) (let ((_let_63 (= _let_39 _let_44))) (let ((_let_64 (tptp.inverse _let_4))) (let ((_let_65 (tptp.multiply _let_64 _let_4))) (let ((_let_66 (= (tptp.multiply (tptp.multiply _let_3 _let_64) _let_4) (tptp.multiply _let_3 _let_65)))) (let ((_let_67 (tptp.multiply tptp.identity _let_3))) (let ((_let_68 (tptp.inverse _let_3))) (let ((_let_69 (= (tptp.multiply (tptp.multiply _let_68 tptp.identity) _let_3) (tptp.multiply _let_68 _let_67)))) (let ((_let_70 (= (tptp.multiply _let_67 tptp.identity) (tptp.multiply tptp.identity _let_57)))) (let ((_let_71 (= _let_4 (tptp.multiply tptp.identity _let_4)))) (let ((_let_72 (= _let_39 (tptp.least_upper_bound _let_48 (tptp.multiply tptp.identity _let_1))))) (let ((_let_73 (tptp.multiply _let_68 _let_38))) (let ((_let_74 (= (tptp.multiply _let_73 tptp.identity) (tptp.multiply _let_68 (tptp.multiply _let_38 tptp.identity))))) (let ((_let_75 (= (tptp.multiply tptp.identity _let_48) (tptp.multiply _let_67 _let_1)))) (let ((_let_76 (= tptp.identity _let_65))) (let ((_let_77 (= _let_3 _let_67))) (let ((_let_78 (= (tptp.multiply _let_22 tptp.identity) (tptp.greatest_lower_bound _let_41 (tptp.multiply tptp.a tptp.identity))))) (let ((_let_79 (= _let_48 (tptp.greatest_lower_bound _let_38 _let_57)))) (let ((_let_80 (tptp.least_upper_bound _let_38 _let_48))) (let ((_let_81 (= _let_60 (tptp.least_upper_bound _let_80 _let_22)))) (let ((_let_82 (tptp.multiply tptp.identity tptp.a))) (let ((_let_83 (= _let_52 (tptp.greatest_lower_bound _let_82 _let_38)))) (let ((_let_84 (= (tptp.multiply (tptp.greatest_lower_bound _let_4 tptp.identity) tptp.identity) _let_45))) (let ((_let_85 (tptp.greatest_lower_bound _let_4 _let_3))) (let ((_let_86 (= (tptp.multiply _let_85 tptp.a) (tptp.greatest_lower_bound _let_43 _let_38)))) (let ((_let_87 (tptp.multiply tptp.identity _let_22))) (let ((_let_88 (= _let_24 (tptp.multiply _let_2 _let_87)))) (let ((_let_89 (tptp.multiply _let_68 _let_3))) (let ((_let_90 (= (tptp.multiply _let_89 tptp.a) _let_73))) (let ((_let_91 (tptp.least_upper_bound tptp.identity _let_3))) (let ((_let_92 (tptp.greatest_lower_bound tptp.identity _let_91))) (let ((_let_93 (= _let_92 (tptp.greatest_lower_bound _let_91 tptp.identity)))) (let ((_let_94 (= _let_87 (tptp.greatest_lower_bound _let_41 _let_82)))) (let ((_let_95 (= tptp.identity _let_89))) (let ((_let_96 (= tptp.a _let_82))) (let ((_let_97 (tptp.least_upper_bound tptp.a _let_1))) (let ((_let_98 (= (tptp.multiply _let_3 _let_97) _let_80))) (let ((_let_99 (= tptp.identity _let_92))) (let ((_let_100 (= tptp.identity (tptp.least_upper_bound tptp.identity _let_22)))) (let ((_let_101 (tptp.greatest_lower_bound _let_3 _let_4))) (let ((_let_102 (= _let_101 _let_85))) (let ((_let_103 (= tptp.identity (tptp.greatest_lower_bound tptp.identity tptp.identity)))) (let ((_let_104 (= tptp.identity (tptp.least_upper_bound tptp.identity tptp.identity)))) (let ((_let_105 (= _let_51 (tptp.greatest_lower_bound _let_3 tptp.identity)))) (let ((_let_106 (= tptp.identity _let_41))) (let ((_let_107 (= _let_3 _let_101))) (let ((_let_108 (= tptp.a _let_97))) (let ((_let_109 (= _let_4 _let_91))) (let ((_let_110 (= _let_1 _let_22))) (let ((_let_111 (= tptp.identity _let_36))) (let ((_let_112 (= tptp.identity _let_38))) (let ((_let_113 (not _let_25))) (let ((_let_114 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_115 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_116 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (_let_16))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (_let_121))) (let ((_let_124 (_let_2 QUANTIFIERS_INST_ENUM))) (let ((_let_125 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (_let_125))) (let ((_let_128 (_let_8))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 (_let_17))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 ((tptp.least_upper_bound X Y)))) (let ((_let_133 (_let_10))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 ((tptp.multiply X (tptp.least_upper_bound Y Z))))) (let ((_let_136 (_let_9))) (let ((_let_137 (ASSUME :args _let_136))) (let ((_let_138 ((tptp.multiply X (tptp.greatest_lower_bound Y Z))))) (let ((_let_139 (_let_3 QUANTIFIERS_INST_ENUM))) (let ((_let_140 (_let_7))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 (_let_15))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 ((tptp.multiply (tptp.greatest_lower_bound Y Z) X)))) (let ((_let_145 (_let_18))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 ((tptp.least_upper_bound X Y)))) (let ((_let_148 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (_let_148))) (let ((_let_151 ((tptp.greatest_lower_bound X Y)))) (let ((_let_152 ((tptp.greatest_lower_bound X Y)))) (let ((_let_153 (forall ((X $$unsorted)) (= X (tptp.greatest_lower_bound X X))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (tptp.identity QUANTIFIERS_INST_ENUM))) (let ((_let_156 (forall ((X $$unsorted)) (= X (tptp.least_upper_bound X X))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 ((tptp.inverse X)))) (let ((_let_159 (ASSUME :args (_let_6)))) (let ((_let_160 (and _let_6 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105 _let_104 _let_103 _let_102 _let_100 _let_99 _let_98 _let_96 _let_95 _let_94 _let_93 _let_90 _let_88 _let_86 _let_84 _let_83 _let_81 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_72 _let_71 _let_70 _let_69 _let_66 _let_63 _let_62 _let_61 _let_58 _let_56 _let_55 _let_54 _let_53 _let_49 _let_46 _let_40 _let_37 _let_34 _let_32 _let_30))) (let ((_let_161 (ASSUME :args (_let_56)))) (let ((_let_162 (SYMM _let_161))) (let ((_let_163 (APPLY_UF tptp.multiply))) (let ((_let_164 (REFL :args (_let_2)))) (let ((_let_165 (ASSUME :args (_let_111)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (ASSUME :args (_let_110)))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_170 (ASSUME :args (_let_96)))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (ASSUME :args (_let_106)))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (CONG _let_173 _let_171 :args _let_169))) (let ((_let_175 (ASSUME :args (_let_94)))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (ASSUME :args (_let_88)))) (let ((_let_179 (TRANS (SYMM (SYMM _let_178)) (CONG _let_164 (TRANS _let_177 _let_174 _let_168) :args _let_163) _let_166))) (let ((_let_180 (APPLY_UF tptp.least_upper_bound))) (let ((_let_181 (ASSUME :args (_let_104)))) (let ((_let_182 (REFL :args (_let_3)))) (let ((_let_183 (ASSUME :args (_let_112)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (ASSUME :args (_let_77)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (CONG _let_184 _let_182 :args _let_163))) (let ((_let_188 (ASSUME :args (_let_54)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (REFL :args (tptp.a)))) (let ((_let_191 (ASSUME :args (_let_95)))) (let ((_let_192 (CONG (SYMM _let_191) _let_190 :args _let_163))) (let ((_let_193 (ASSUME :args (_let_90)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (REFL :args (_let_68)))) (let ((_let_196 (ASSUME :args (_let_69)))) (let ((_let_197 (TRANS _let_191 (CONG _let_195 _let_185 :args _let_163) (SYMM _let_196) (CONG (TRANS (CONG _let_195 _let_183 :args _let_163) _let_194 _let_192 _let_171) _let_182 :args _let_163)))) (let ((_let_198 (CONG _let_182 _let_197 :args _let_163))) (let ((_let_199 (ASSUME :args (_let_76)))) (let ((_let_200 (CONG _let_182 (SYMM _let_199) :args _let_163))) (let ((_let_201 (ASSUME :args (_let_66)))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (CONG _let_182 _let_184 :args _let_163))) (let ((_let_204 (TRANS _let_173 _let_183))) (let ((_let_205 (ASSUME :args (_let_58)))) (let ((_let_206 (ASSUME :args (_let_55)))) (let ((_let_207 (REFL :args (_let_28)))) (let ((_let_208 (ASSUME :args (_let_32)))) (let ((_let_209 (ASSUME :args (_let_30)))) (let ((_let_210 (REFL :args (_let_22)))) (let ((_let_211 (ASSUME :args (_let_34)))) (let ((_let_212 (REFL :args (tptp.identity)))) (let ((_let_213 (ASSUME :args (_let_71)))) (let ((_let_214 (ASSUME :args (_let_37)))) (let ((_let_215 (ASSUME :args (_let_62)))) (let ((_let_216 (CONG _let_168 _let_212 :args _let_163))) (let ((_let_217 (ASSUME :args (_let_78)))) (let ((_let_218 (SYMM _let_217))) (let ((_let_219 (ASSUME :args (_let_74)))) (let ((_let_220 (CONG _let_172 (TRANS _let_170 (SYMM _let_192) _let_193 (CONG _let_195 (TRANS _let_184 _let_172 (CONG _let_183 _let_212 :args _let_163)) :args _let_163) (SYMM _let_219) (CONG (TRANS (TRANS _let_194 _let_192 _let_171) _let_170) _let_212 :args _let_163) (CONG _let_171 _let_212 :args _let_163)) :args _let_169))) (let ((_let_221 (ASSUME :args (_let_103)))) (let ((_let_222 (ASSUME :args (_let_83)))) (let ((_let_223 (ASSUME :args (_let_53)))) (let ((_let_224 (ASSUME :args (_let_105)))) (let ((_let_225 (SYMM _let_224))) (let ((_let_226 (CONG _let_186 _let_212 :args _let_163))) (let ((_let_227 (ASSUME :args (_let_70)))) (let ((_let_228 (TRANS (CONG _let_212 _let_184 :args _let_163) _let_173))) (let ((_let_229 (CONG _let_228 (TRANS (SYMM _let_227) _let_226 _let_198 _let_189 _let_187 _let_186) :args _let_169))) (let ((_let_230 (CONG (TRANS _let_184 (SYMM _let_228)) (TRANS (SYMM _let_226) _let_227) :args _let_169))) (let ((_let_231 (ASSUME :args (_let_79)))) (let ((_let_232 (SYMM _let_231))) (let ((_let_233 (SYMM _let_232))) (let ((_let_234 (CONG _let_182 _let_168 :args _let_163))) (let ((_let_235 (ASSUME :args (_let_49)))) (let ((_let_236 (CONG _let_186 (REFL :args (_let_1)) :args _let_163))) (let ((_let_237 (ASSUME :args (_let_75)))) (let ((_let_238 (SYMM _let_237))) (let ((_let_239 (REFL :args (_let_48)))) (let ((_let_240 (CONG _let_184 _let_239 :args _let_163))) (let ((_let_241 (CONG _let_239 (TRANS (CONG _let_212 _let_167 :args _let_163) _let_177 _let_174) :args _let_180))) (let ((_let_242 (ASSUME :args (_let_72)))) (let ((_let_243 (SYMM _let_242))) (let ((_let_244 (ASSUME :args (_let_40)))) (let ((_let_245 (ASSUME :args (_let_61)))) (let ((_let_246 (ASSUME :args (_let_81)))) (let ((_let_247 (ASSUME :args 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_let_74 _let_75 _let_94 _let_72 _let_40 _let_61 _let_81 _let_98 _let_108 _let_100 _let_63 _let_46 _let_84 _let_109 _let_93 _let_99 _let_86 _let_102 _let_107 _let_55 _let_56 _let_32 _let_88 _let_30 _let_34 _let_6))) :args (_let_6 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105 _let_104 _let_103 _let_102 _let_100 _let_99 _let_98 _let_96 _let_95 _let_94 _let_93 _let_90 _let_88 _let_86 _let_84 _let_83 _let_81 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_72 _let_71 _let_70 _let_69 _let_66 _let_63 _let_62 _let_61 _let_58 _let_56 _let_55 _let_54 _let_53 _let_49 _let_46 _let_40 _let_37 _let_34 _let_32 _let_30))) :args (true _let_160)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_112))) (REFL :args ((not _let_111))) (REFL :args ((not _let_110))) (REFL :args ((not _let_109))) (REFL :args ((not _let_108))) (REFL :args ((not _let_107))) (REFL :args ((not _let_106))) (REFL :args ((not _let_105))) (REFL :args ((not _let_104))) 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_let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_150)) _let_149 :args (_let_108 false _let_148)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_3 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_118)) _let_117 :args (_let_107 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args _let_155) :args _let_127)) _let_126 :args (_let_106 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (tptp.identity _let_3 QUANTIFIERS_INST_ENUM)) :args _let_145)) _let_146 :args (_let_105 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args _let_155) :args (_let_156))) _let_157 :args (_let_104 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args _let_155) :args (_let_153))) _let_154 :args (_let_103 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(SCOPE (INSTANTIATE _let_122 :args _let_139) :args _let_123)) _let_122 :args (_let_95 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (tptp.identity tptp.identity tptp.a QUANTIFIERS_INST_ENUM)) :args _let_136)) _let_137 :args (_let_94 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (tptp.identity _let_91 QUANTIFIERS_INST_CBQI_PROP)) :args _let_145)) _let_146 :args (_let_93 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_68 _let_3 tptp.a QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_26)) _let_27 :args (_let_90 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_2 tptp.identity _let_22 QUANTIFIERS_INST_E_MATCHING _let_114)) :args _let_26)) _let_27 :args (_let_88 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_4 _let_3 tptp.a QUANTIFIERS_INST_E_MATCHING _let_144)) :args _let_140)) _let_141 :args (_let_86 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_4 tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING _let_144)) :args _let_140)) _let_141 :args (_let_84 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.identity _let_3 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X))))) :args _let_140)) _let_141 :args (_let_83 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_38 _let_48 _let_22 QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound (tptp.least_upper_bound X Y) Z)))) :args _let_142)) _let_143 :args (_let_81 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_3 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING _let_138)) :args _let_136)) _let_137 :args (_let_79 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.identity tptp.a tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_140)) _let_141 :args (_let_78 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args _let_139) :args _let_127)) _let_126 :args (_let_77 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_4 QUANTIFIERS_INST_ENUM)) :args _let_123)) _let_122 :args (_let_76 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.identity _let_3 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_26))) _let_27 :args (_let_75 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_68 _let_38 tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_26)) _let_27 :args (_let_74 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_3 tptp.identity _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_128)) _let_129 :args (_let_72 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_127)) _let_126 :args (_let_71 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.identity _let_3 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_26)) _let_27 :args (_let_70 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_68 tptp.identity _let_3 QUANTIFIERS_INST_E_MATCHING _let_114)) :args _let_26)) _let_27 :args (_let_69 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_3 _let_64 _let_4 QUANTIFIERS_INST_E_MATCHING _let_114)) :args _let_26)) _let_27 :args (_let_66 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_4 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING _let_138)) :args _let_136)) _let_137 :args (_let_63 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_1 _let_3 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_133)) _let_134 :args (_let_62 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (_let_38 _let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_130)) _let_131 :args (_let_61 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_3 tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) :args _let_128)) _let_129 :args (_let_58 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args _let_124) :args _let_127)) _let_126 :args (_let_56 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args _let_124) :args _let_123)) _let_122 :args (_let_55 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_3 tptp.a _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_26)) _let_27 :args (_let_54 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_51 tptp.a _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_26)) _let_27 :args (_let_53 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_3 _let_1 tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_26)) _let_27 :args (_let_49 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_43 _let_42 _let_41 QUANTIFIERS_INST_CBQI_PROP)) :args _let_119)) _let_120 :args (_let_46 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_39 _let_38 QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_40 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_2 _let_1 _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_26)) _let_27 :args (_let_37 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_28 _let_2 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_115)) :args _let_26)) _let_27 :args (_let_34 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_28 tptp.identity _let_2 QUANTIFIERS_INST_E_MATCHING _let_114)) :args _let_26)) _let_27 :args (_let_32 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_28 _let_23 _let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_26)) _let_27 :args (_let_30 false _let_19)) :args (_let_113 true _let_5 false _let_112 false _let_111 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_102 false _let_100 false _let_99 false _let_98 false _let_96 false _let_95 false _let_94 false _let_93 false _let_90 false _let_88 false _let_86 false _let_84 false _let_83 false _let_81 false _let_79 false _let_78 false _let_77 false _let_76 false _let_75 false _let_74 false _let_72 false _let_71 false _let_70 false _let_69 false _let_66 false _let_63 false _let_62 false _let_61 false _let_58 false _let_56 false _let_55 false _let_54 false _let_53 false _let_49 false _let_46 false _let_40 false _let_37 false _let_34 false _let_32 false _let_30)) _let_27 :args (false true _let_25 false _let_19)) :args (_let_21 _let_20 _let_19 _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 53.99/54.24 )
% 53.99/54.25 % SZS output end Proof for GRP179-2
% 53.99/54.25 % cvc5---1.0.5 exiting
% 53.99/54.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------