TSTP Solution File: GRP183-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP183-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 00:25:03 EDT 2023
% Result : Unsatisfiable 51.73s 52.01s
% Output : Proof 51.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP183-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 20:07:50 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.0rkCOffhsb/cvc5---1.0.5_22020.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP183-3
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22020.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.33/10.70 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.55/15.73 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.49/20.77 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.56/25.82 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.68/30.90 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.76/35.99 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.86/41.07 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.92/46.15 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.00/51.22 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 51.73/52.01 % SZS status Unsatisfiable for GRP183-3
% 51.73/52.01 % SZS output start Proof for GRP183-3
% 51.80/52.01 (
% 51.80/52.01 (let ((_let_1 (tptp.inverse tptp.a))) (let ((_let_2 (tptp.least_upper_bound _let_1 tptp.identity))) (let ((_let_3 (tptp.least_upper_bound tptp.a tptp.identity))) (let ((_let_4 (tptp.greatest_lower_bound _let_3 _let_2))) (let ((_let_5 (not (= _let_4 tptp.identity)))) (let ((_let_6 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_7 (forall ((Y $$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_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_9 (forall ((X $$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_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_15 (forall ((X $$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_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_19 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_20 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_21 (= tptp.identity _let_4))) (let ((_let_22 (tptp.multiply _let_1 tptp.a))) (let ((_let_23 (= tptp.identity _let_22))) (let ((_let_24 (= _let_4 (tptp.greatest_lower_bound _let_2 _let_3)))) (let ((_let_25 (tptp.least_upper_bound tptp.identity tptp.a))) (let ((_let_26 (= _let_3 _let_25))) (let ((_let_27 (tptp.least_upper_bound tptp.identity _let_1))) (let ((_let_28 (= _let_2 _let_27))) (let ((_let_29 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_30 (= tptp.identity _let_29))) (let ((_let_31 (tptp.greatest_lower_bound tptp.a tptp.identity))) (let ((_let_32 (tptp.greatest_lower_bound tptp.identity tptp.a))) (let ((_let_33 (= _let_32 _let_31))) (let ((_let_34 (= tptp.identity (tptp.least_upper_bound tptp.identity tptp.identity)))) (let ((_let_35 (tptp.multiply tptp.a tptp.identity))) (let ((_let_36 (tptp.multiply _let_1 _let_35))) (let ((_let_37 (= (tptp.multiply _let_22 tptp.identity) _let_36))) (let ((_let_38 (= tptp.identity (tptp.least_upper_bound tptp.identity _let_32)))) (let ((_let_39 (= tptp.identity (tptp.greatest_lower_bound tptp.identity _let_25)))) (let ((_let_40 (tptp.greatest_lower_bound tptp.identity _let_27))) (let ((_let_41 (= tptp.identity _let_40))) (let ((_let_42 (tptp.multiply tptp.identity tptp.a))) (let ((_let_43 (= tptp.a _let_42))) (let ((_let_44 (tptp.greatest_lower_bound _let_3 tptp.identity))) (let ((_let_45 (= _let_44 (tptp.greatest_lower_bound tptp.identity _let_3)))) (let ((_let_46 (= (tptp.multiply tptp.identity _let_25) (tptp.least_upper_bound _let_29 _let_42)))) (let ((_let_47 (= (tptp.multiply tptp.identity _let_32) (tptp.greatest_lower_bound _let_29 _let_42)))) (let ((_let_48 (= (tptp.least_upper_bound tptp.identity _let_4) (tptp.least_upper_bound _let_4 tptp.identity)))) (let ((_let_49 (= _let_2 (tptp.greatest_lower_bound _let_2 _let_2)))) (let ((_let_50 (= (tptp.multiply _let_27 tptp.a) (tptp.least_upper_bound _let_42 _let_22)))) (let ((_let_51 (= (tptp.multiply _let_42 tptp.identity) (tptp.multiply tptp.identity _let_35)))) (let ((_let_52 (= _let_40 (tptp.greatest_lower_bound _let_27 tptp.identity)))) (let ((_let_53 (tptp.multiply _let_1 tptp.identity))) (let ((_let_54 (tptp.multiply _let_1 _let_3))) (let ((_let_55 (= _let_54 (tptp.least_upper_bound _let_22 _let_53)))) (let ((_let_56 (tptp.multiply _let_3 tptp.identity))) (let ((_let_57 (tptp.greatest_lower_bound _let_56 _let_29))) (let ((_let_58 (= (tptp.multiply _let_44 tptp.identity) _let_57))) (let ((_let_59 (tptp.multiply tptp.identity _let_1))) (let ((_let_60 (= _let_1 _let_59))) (let ((_let_61 (tptp.inverse _let_1))) (let ((_let_62 (tptp.multiply _let_61 _let_1))) (let ((_let_63 (= tptp.identity _let_62))) (let ((_let_64 (tptp.greatest_lower_bound tptp.identity _let_1))) (let ((_let_65 (= _let_64 (tptp.greatest_lower_bound _let_1 tptp.identity)))) (let ((_let_66 (tptp.least_upper_bound tptp.identity _let_64))) (let ((_let_67 (= tptp.identity _let_66))) (let ((_let_68 (= (tptp.multiply _let_32 tptp.identity) (tptp.greatest_lower_bound _let_29 _let_35)))) (let ((_let_69 (tptp.multiply _let_2 tptp.a))) (let ((_let_70 (= (tptp.multiply _let_2 _let_35) (tptp.multiply _let_69 tptp.identity)))) (let ((_let_71 (= (tptp.multiply _let_27 tptp.identity) (tptp.least_upper_bound _let_29 _let_53)))) (let ((_let_72 (= (tptp.multiply _let_62 tptp.a) (tptp.multiply _let_61 _let_22)))) (let ((_let_73 (= (tptp.multiply _let_62 _let_35) (tptp.multiply _let_61 _let_36)))) (let ((_let_74 (= (tptp.multiply _let_59 tptp.identity) (tptp.multiply tptp.identity _let_53)))) (let ((_let_75 (= (tptp.multiply (tptp.multiply _let_61 tptp.identity) _let_1) (tptp.multiply _let_61 _let_59)))) (let ((_let_76 (= (tptp.greatest_lower_bound _let_54 _let_25) (tptp.greatest_lower_bound _let_25 _let_54)))) (let ((_let_77 (= (tptp.least_upper_bound tptp.identity (tptp.least_upper_bound _let_64 _let_32)) (tptp.least_upper_bound _let_66 _let_32)))) (let ((_let_78 (= (tptp.greatest_lower_bound _let_27 _let_57) (tptp.greatest_lower_bound (tptp.greatest_lower_bound _let_27 _let_56) _let_29)))) (let ((_let_79 (= (tptp.multiply _let_1 _let_32) (tptp.greatest_lower_bound _let_53 _let_22)))) (let ((_let_80 (= (tptp.multiply _let_2 _let_32) (tptp.greatest_lower_bound (tptp.multiply _let_2 tptp.identity) _let_69)))) (let ((_let_81 (= (tptp.multiply _let_22 _let_1) (tptp.multiply _let_1 (tptp.multiply tptp.a _let_1))))) (let ((_let_82 (= _let_4 (tptp.least_upper_bound _let_4 (tptp.greatest_lower_bound _let_4 _let_29))))) (let ((_let_83 (= (tptp.multiply _let_2 _let_31) (tptp.least_upper_bound (tptp.multiply _let_1 _let_31) (tptp.multiply tptp.identity _let_31))))) (let ((_let_84 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 (_let_17))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 ((tptp.greatest_lower_bound X Y)))) (let ((_let_90 (_let_16))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 ((tptp.least_upper_bound X Y)))) (let ((_let_93 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (_let_93))) (let ((_let_96 (tptp.identity QUANTIFIERS_INST_ENUM))) (let ((_let_97 (forall ((X $$unsorted)) (= X (tptp.least_upper_bound X X))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (_let_18))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_102 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (_let_102))) (let ((_let_105 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 ((tptp.least_upper_bound X Y)))) (let ((_let_109 (_let_9))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (tptp.identity tptp.identity tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_112 (_let_8))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 (forall ((X $$unsorted)) (= X (tptp.greatest_lower_bound X X))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (_let_7))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 (_let_6))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 (_let_1 QUANTIFIERS_INST_ENUM))) (let ((_let_121 (tptp.identity _let_1 QUANTIFIERS_INST_ENUM))) (let ((_let_122 (_let_14))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 (_let_15))) (let ((_let_125 (ASSUME :args _let_124))) (let ((_let_126 (and _let_23 _let_24 _let_26 _let_28 _let_30 _let_33 _let_34 _let_37 _let_38 _let_39 _let_41 _let_43 _let_45 _let_46 _let_47 _let_48 _let_49 _let_50 _let_51 _let_52 _let_55 _let_58 _let_60 _let_63 _let_65 _let_67 _let_68 _let_70 _let_71 _let_72 _let_73 _let_74 _let_75 _let_76 _let_77 _let_78 _let_79 _let_80 _let_81 _let_82 _let_83))) (let ((_let_127 (ASSUME :args (_let_82)))) (let ((_let_128 (APPLY_UF tptp.least_upper_bound))) (let ((_let_129 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_130 (ASSUME :args (_let_24)))) (let ((_let_131 (ASSUME :args (_let_34)))) (let ((_let_132 (REFL :args (tptp.a)))) (let ((_let_133 (CONG _let_132 (SYMM _let_131) :args _let_128))) (let ((_let_134 (ASSUME :args (_let_23)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (ASSUME :args (_let_43)))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (CONG _let_137 (TRANS _let_135 _let_131) :args _let_128))) (let ((_let_139 (ASSUME :args (_let_50)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (APPLY_UF tptp.multiply))) (let ((_let_143 (ASSUME :args (_let_63)))) (let ((_let_144 (CONG (SYMM _let_143) _let_132 :args _let_142))) (let ((_let_145 (ASSUME :args (_let_72)))) (let ((_let_146 (SYMM _let_145))) (let ((_let_147 (ASSUME :args (_let_30)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (REFL :args (tptp.identity)))) (let ((_let_150 (ASSUME :args (_let_37)))) (let ((_let_151 (REFL :args (_let_61)))) (let ((_let_152 (ASSUME :args (_let_73)))) (let ((_let_153 (REFL :args (_let_35)))) (let ((_let_154 (ASSUME :args (_let_51)))) (let ((_let_155 (TRANS (CONG _let_136 _let_149 :args _let_142) (SYMM (SYMM _let_154)) (CONG _let_143 _let_153 :args _let_142) (SYMM (SYMM _let_152)) (CONG _let_151 (TRANS (SYMM _let_150) (CONG _let_135 _let_149 :args _let_142) _let_148 _let_134) :args _let_142) _let_146 _let_144 _let_137))) (let ((_let_156 (ASSUME :args (_let_28)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (ASSUME :args (_let_49)))) (let ((_let_160 (ASSUME :args (_let_70)))) (let ((_let_161 (CONG _let_157 _let_132 :args _let_142))) (let ((_let_162 (ASSUME :args (_let_78)))) (let ((_let_163 (ASSUME :args (_let_58)))) (let ((_let_164 (ASSUME :args (_let_45)))) (let ((_let_165 (ASSUME :args (_let_26)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (ASSUME :args (_let_39)))) (let ((_let_168 (ASSUME :args (_let_52)))) (let ((_let_169 (ASSUME :args (_let_41)))) (let ((_let_170 (ASSUME :args (_let_48)))) (let ((_let_171 (ASSUME :args (_let_60)))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (REFL :args (_let_1)))) (let ((_let_174 (CONG _let_135 _let_173 :args _let_142))) (let ((_let_175 (ASSUME :args (_let_81)))) (let ((_let_176 (ASSUME :args (_let_75)))) (let ((_let_177 (CONG _let_173 (TRANS _let_143 (CONG _let_151 _let_171 :args _let_142) (SYMM _let_176) (CONG (TRANS (CONG _let_151 _let_134 :args _let_142) _let_146 _let_144 _let_137) _let_173 :args _let_142)) :args _let_142))) (let ((_let_178 (CONG _let_172 _let_149 :args _let_142))) (let ((_let_179 (ASSUME :args (_let_74)))) (let ((_let_180 (CONG _let_149 _let_135 :args _let_142))) (let ((_let_181 (REFL :args (_let_53)))) (let ((_let_182 (TRANS _let_135 _let_147))) (let ((_let_183 (CONG _let_182 _let_181 :args _let_128))) (let ((_let_184 (ASSUME :args (_let_55)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (CONG _let_173 _let_166 :args _let_142))) (let ((_let_187 (ASSUME :args (_let_46)))) (let ((_let_188 (TRANS (SYMM (SYMM _let_187)) (CONG _let_148 _let_137 :args _let_128) _let_166))) (let ((_let_189 (ASSUME :args (_let_76)))) (let ((_let_190 (ASSUME :args (_let_71)))) (let ((_let_191 (ASSUME :args (_let_80)))) (let ((_let_192 (ASSUME :args (_let_33)))) (let ((_let_193 (ASSUME :args (_let_83)))) (let ((_let_194 (ASSUME :args (_let_47)))) (let ((_let_195 (ASSUME :args (_let_79)))) (let ((_let_196 (ASSUME :args (_let_65)))) (let ((_let_197 (ASSUME :args (_let_68)))) (let ((_let_198 (CONG (REFL :args (_let_64)) (TRANS (SYMM (SYMM _let_197)) (CONG _let_148 _let_153 :args _let_129) (CONG _let_149 _let_155 :args _let_129)) :args _let_128))) (let ((_let_199 (ASSUME :args (_let_77)))) (let ((_let_200 (ASSUME :args (_let_67)))) (let ((_let_201 (ASSUME :args (_let_38)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_130 _let_156 _let_131 _let_136 _let_134 _let_139 _let_159 _let_143 _let_145 _let_147 _let_150 _let_152 _let_154 _let_160 _let_162 _let_163 _let_164 _let_165 _let_167 _let_168 _let_169 _let_170 _let_187 _let_171 _let_175 _let_176 _let_179 _let_184 _let_189 _let_190 _let_191 _let_192 _let_193 _let_195 _let_196 _let_194 _let_197 _let_199 _let_200 _let_201) (SCOPE (TRANS (SYMM (SYMM _let_201)) (CONG (SYMM (SYMM _let_200)) (REFL :args (_let_32)) :args _let_128) (SYMM _let_199) (CONG _let_149 (SYMM _let_198) :args _let_128) (CONG _let_149 (TRANS _let_198 (CONG (TRANS (SYMM (SYMM _let_196)) (CONG (TRANS _let_171 (SYMM _let_174) _let_175 (SYMM _let_177)) _let_147 :args _let_129) (CONG _let_181 (SYMM _let_182) :args _let_129) (SYMM _let_195) (CONG _let_173 _let_192 :args _let_142)) (TRANS (CONG _let_147 _let_136 :args _let_129) (SYMM _let_194) (CONG _let_149 _let_192 :args _let_142)) :args _let_128) (SYMM _let_193) (CONG (REFL :args (_let_2)) (SYMM _let_192) :args _let_142) (SYMM (SYMM _let_191)) (CONG (TRANS (CONG _let_158 _let_149 :args _let_142) (SYMM (SYMM _let_190)) (SYMM _let_183) _let_185) (TRANS (SYMM _let_161) _let_141 _let_138 _let_133 _let_165) :args _let_129) (SYMM (SYMM _let_189)) (CONG (TRANS _let_166 (SYMM _let_188)) (SYMM _let_186) :args _let_129) (CONG _let_188 (TRANS _let_186 (SYMM _let_185) _let_183 (CONG (SYMM _let_180) (TRANS (SYMM _let_178) _let_179) :args _let_128) (CONG (TRANS _let_180 _let_148) (TRANS (SYMM _let_179) _let_178 _let_177 (SYMM _let_175) _let_174 _let_172) :args _let_128) _let_157) :args _let_129)) :args _let_128) (SYMM (SYMM _let_170)) (CONG (REFL :args (_let_4)) (TRANS (SYMM (SYMM _let_169)) (SYMM (SYMM _let_168)) (CONG (REFL :args (_let_27)) (TRANS _let_147 (CONG (TRANS (SYMM (SYMM _let_167)) (CONG _let_149 _let_166 :args _let_129) (SYMM _let_164)) _let_149 :args _let_142) (SYMM (SYMM _let_163))) :args _let_129) (SYMM (SYMM _let_162)) (CONG (TRANS (CONG _let_157 (TRANS (CONG (TRANS (SYMM _let_133) (SYMM _let_138) _let_140 _let_161) _let_149 :args _let_142) (SYMM _let_160) (CONG _let_159 _let_153 :args _let_142) (CONG (TRANS (SYMM _let_159) _let_158) _let_155 :args _let_142) _let_141 _let_138 _let_133) :args _let_129) (SYMM _let_130)) (REFL :args (_let_29)) :args _let_129)) :args _let_128) (SYMM _let_127)) :args (_let_82 _let_24 _let_28 _let_34 _let_43 _let_23 _let_50 _let_49 _let_63 _let_72 _let_30 _let_37 _let_73 _let_51 _let_70 _let_78 _let_58 _let_45 _let_26 _let_39 _let_52 _let_41 _let_48 _let_46 _let_60 _let_81 _let_75 _let_74 _let_55 _let_76 _let_71 _let_80 _let_33 _let_83 _let_79 _let_65 _let_47 _let_68 _let_77 _let_67 _let_38))) :args (_let_23 _let_24 _let_26 _let_28 _let_30 _let_33 _let_34 _let_37 _let_38 _let_39 _let_41 _let_43 _let_45 _let_46 _let_47 _let_48 _let_49 _let_50 _let_51 _let_52 _let_55 _let_58 _let_60 _let_63 _let_65 _let_67 _let_68 _let_70 _let_71 _let_72 _let_73 _let_74 _let_75 _let_76 _let_77 _let_78 _let_79 _let_80 _let_81 _let_82 _let_83))) :args (true _let_126)) :args ((or _let_21 (not _let_23) (not _let_24) (not _let_26) (not _let_28) (not _let_30) (not _let_33) (not _let_34) (not _let_37) (not _let_38) (not _let_39) (not _let_41) (not _let_43) (not _let_45) (not _let_46) (not _let_47) (not _let_48) (not _let_49) (not _let_50) (not _let_51) (not _let_52) (not _let_55) (not _let_58) (not _let_60) (not _let_63) (not _let_65) (not _let_67) (not _let_68) (not _let_70) (not _let_71) (not _let_72) (not _let_73) (not _let_74) (not _let_75) (not _let_76) (not _let_77) (not _let_78) (not _let_79) (not _let_80) (not _let_81) (not _let_82) (not _let_83)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1 tptp.identity _let_31 QUANTIFIERS_INST_CBQI_PROP)) :args _let_116)) _let_117 :args (_let_83 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_4 _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_103 :args (_let_82 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_1 tptp.a _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_81 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_2 tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z))))) :args _let_112)) _let_113 :args (_let_80 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_1 tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.greatest_lower_bound Y Z))))) :args _let_112)) _let_113 :args (_let_79 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_27 _let_56 _let_29 QUANTIFIERS_INST_E_MATCHING ((tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z))))) :args _let_124)) _let_125 :args (_let_78 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.identity _let_64 _let_32 QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound (tptp.least_upper_bound X Y) Z)))) :args _let_122)) _let_123 :args (_let_77 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_54 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_76 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_61 tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.multiply Y Z))))) :args _let_99)) _let_100 :args (_let_75 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.identity _let_1 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_99)) _let_100 :args (_let_74 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_61 _let_1 _let_35 QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_99)) _let_100 :args (_let_73 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_61 _let_1 tptp.a QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_99)) _let_100 :args (_let_72 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.identity _let_1 tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_116)) _let_117 :args (_let_71 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_2 tptp.a tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_99))) _let_100 :args (_let_70 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.identity tptp.a tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_118)) _let_119 :args (_let_68 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args _let_121) :args _let_104)) _let_103 :args (_let_67 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args _let_121) :args _let_87)) _let_88 :args (_let_65 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_120) :args _let_86)) _let_85 :args (_let_63 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args _let_120) :args _let_95)) _let_94 :args (_let_60 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_3 tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.greatest_lower_bound Y Z) X)))) :args _let_118)) _let_119 :args (_let_58 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_1 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.least_upper_bound Y Z))))) :args _let_109)) _let_110 :args (_let_55 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.identity _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_52 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.identity tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_99)) _let_100 :args (_let_51 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.identity _let_1 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_116)) _let_117 :args (_let_50 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_2 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_114))) _let_115 :args (_let_49 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.identity _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_90)) _let_91 :args (_let_48 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_111) :args _let_112)) _let_113 :args (_let_47 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args _let_111) :args _let_109)) _let_110 :args (_let_46 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.identity _let_3 QUANTIFIERS_INST_ENUM)) :args _let_87))) _let_88 :args (_let_45 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_95)) _let_94 :args (_let_43 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_41 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_39 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args _let_104)) _let_103 :args (_let_38 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_1 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_99)) _let_100 :args (_let_37 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_96) :args (_let_97))) _let_98 :args (_let_34 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.identity tptp.a QUANTIFIERS_INST_ENUM)) :args _let_87)) _let_88 :args (_let_33 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args _let_96) :args _let_95)) _let_94 :args (_let_30 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_1 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_28 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_26 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args (_let_24 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args _let_86)) _let_85 :args (_let_23 false _let_84)) (SYMM (ASSUME :args (_let_5))) :args (false false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_77 false _let_76 false _let_75 false _let_74 false _let_73 false _let_72 false _let_71 false _let_70 false _let_68 false _let_67 false _let_65 false _let_63 false _let_60 false _let_58 false _let_55 false _let_52 false _let_51 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_43 false _let_41 false _let_39 false _let_38 false _let_37 false _let_34 false _let_33 false _let_30 false _let_28 false _let_26 false _let_24 false _let_23 true _let_21)) :args (_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 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 51.80/52.01 )
% 51.80/52.02 % SZS output end Proof for GRP183-3
% 51.80/52.02 % cvc5---1.0.5 exiting
% 51.80/52.02 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------