TSTP Solution File: GRP183-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP183-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 2.08s 2.34s
% Output   : Proof 2.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem    : GRP183-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.16  % Command    : do_cvc5 %s %d
% 0.13/0.36  % Computer : n028.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Aug 29 00:50:40 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.19/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6g978lGs7W/cvc5---1.0.5_29835.p...
% 0.19/0.50  ------- get file name : TPTP file name is GRP183-4
% 0.19/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29835.smt2...
% 0.19/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.08/2.34  % SZS status Unsatisfiable for GRP183-4
% 2.08/2.34  % SZS output start Proof for GRP183-4
% 2.08/2.36  (
% 2.08/2.36  (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 ((X $$unsorted) (Y $$unsorted)) (= (tptp.inverse (tptp.multiply X Y)) (tptp.multiply (tptp.inverse Y) (tptp.inverse X)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.inverse (tptp.inverse X)) X)))) (let ((_let_8 (tptp.inverse tptp.identity))) (let ((_let_9 (= _let_8 tptp.identity))) (let ((_let_10 (forall ((Y $$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_11 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_12 (forall ((X $$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_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) 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.identity _let_8))) (let ((_let_25 (= tptp.identity _let_4))) (let ((_let_26 (= tptp.identity (tptp.multiply _let_8 tptp.identity)))) (let ((_let_27 (tptp.multiply _let_1 tptp.a))) (let ((_let_28 (= tptp.identity _let_27))) (let ((_let_29 (= _let_4 (tptp.greatest_lower_bound _let_2 _let_3)))) (let ((_let_30 (tptp.least_upper_bound tptp.identity tptp.a))) (let ((_let_31 (= _let_3 _let_30))) (let ((_let_32 (tptp.least_upper_bound tptp.identity _let_1))) (let ((_let_33 (= _let_2 _let_32))) (let ((_let_34 (tptp.greatest_lower_bound tptp.a _let_3))) (let ((_let_35 (= tptp.a _let_34))) (let ((_let_36 (tptp.greatest_lower_bound _let_1 _let_2))) (let ((_let_37 (= _let_1 _let_36))) (let ((_let_38 (tptp.multiply tptp.a tptp.identity))) (let ((_let_39 (= (tptp.multiply _let_27 tptp.identity) (tptp.multiply _let_1 _let_38)))) (let ((_let_40 (tptp.greatest_lower_bound _let_3 tptp.a))) (let ((_let_41 (= _let_34 _let_40))) (let ((_let_42 (tptp.greatest_lower_bound _let_2 _let_2))) (let ((_let_43 (tptp.greatest_lower_bound _let_1 _let_42))) (let ((_let_44 (= _let_43 (tptp.greatest_lower_bound _let_36 _let_2)))) (let ((_let_45 (tptp.least_upper_bound tptp.a _let_34))) (let ((_let_46 (= tptp.a _let_45))) (let ((_let_47 (tptp.greatest_lower_bound tptp.identity _let_30))) (let ((_let_48 (= tptp.identity _let_47))) (let ((_let_49 (= tptp.identity (tptp.greatest_lower_bound tptp.identity _let_32)))) (let ((_let_50 (tptp.multiply _let_2 tptp.a))) (let ((_let_51 (tptp.greatest_lower_bound _let_27 _let_50))) (let ((_let_52 (= (tptp.multiply _let_36 tptp.a) _let_51))) (let ((_let_53 (tptp.inverse _let_1))) (let ((_let_54 (tptp.multiply _let_1 _let_53))) (let ((_let_55 (= (tptp.inverse _let_27) _let_54))) (let ((_let_56 (= _let_1 (tptp.multiply tptp.identity _let_1)))) (let ((_let_57 (tptp.multiply _let_53 _let_1))) (let ((_let_58 (= tptp.identity _let_57))) (let ((_let_59 (tptp.multiply _let_1 _let_57))) (let ((_let_60 (= (tptp.multiply _let_54 _let_1) _let_59))) (let ((_let_61 (tptp.multiply tptp.a _let_1))) (let ((_let_62 (= (tptp.multiply _let_61 _let_53) (tptp.multiply tptp.a _let_54)))) (let ((_let_63 (tptp.greatest_lower_bound _let_50 _let_27))) (let ((_let_64 (= _let_51 _let_63))) (let ((_let_65 (tptp.least_upper_bound _let_4 tptp.identity))) (let ((_let_66 (= (tptp.least_upper_bound tptp.identity _let_4) _let_65))) (let ((_let_67 (tptp.greatest_lower_bound _let_50 _let_32))) (let ((_let_68 (tptp.greatest_lower_bound _let_27 _let_67))) (let ((_let_69 (= _let_68 (tptp.greatest_lower_bound _let_51 _let_32)))) (let ((_let_70 (= (tptp.least_upper_bound tptp.a (tptp.least_upper_bound _let_34 tptp.identity)) (tptp.least_upper_bound _let_45 tptp.identity)))) (let ((_let_71 (= _let_2 _let_42))) (let ((_let_72 (tptp.least_upper_bound tptp.identity _let_47))) (let ((_let_73 (= tptp.identity _let_72))) (let ((_let_74 (= tptp.a (tptp.greatest_lower_bound tptp.a _let_45)))) (let ((_let_75 (tptp.multiply _let_1 _let_3))) (let ((_let_76 (= _let_75 (tptp.least_upper_bound _let_27 (tptp.multiply _let_1 tptp.identity))))) (let ((_let_77 (tptp.multiply tptp.a _let_50))) (let ((_let_78 (tptp.multiply tptp.a _let_27))) (let ((_let_79 (tptp.greatest_lower_bound _let_78 _let_77))) (let ((_let_80 (= (tptp.multiply tptp.a _let_51) _let_79))) (let ((_let_81 (tptp.multiply _let_2 _let_3))) (let ((_let_82 (tptp.greatest_lower_bound _let_81 _let_50))) (let ((_let_83 (= (tptp.multiply _let_2 _let_40) _let_82))) (let ((_let_84 (= (tptp.multiply _let_45 tptp.identity) (tptp.least_upper_bound _let_38 (tptp.multiply _let_34 tptp.identity))))) (let ((_let_85 (tptp.multiply tptp.identity tptp.a))) (let ((_let_86 (tptp.least_upper_bound _let_27 _let_85))) (let ((_let_87 (= _let_50 _let_86))) (let ((_let_88 (tptp.multiply _let_42 _let_3))) (let ((_let_89 (tptp.greatest_lower_bound _let_75 _let_88))) (let ((_let_90 (= (tptp.multiply _let_43 _let_3) _let_89))) (let ((_let_91 (= tptp.a _let_53))) (let ((_let_92 (= _let_53 (tptp.multiply tptp.identity _let_53)))) (let ((_let_93 (= _let_50 (tptp.multiply tptp.identity _let_50)))) (let ((_let_94 (= (tptp.multiply _let_75 tptp.a) (tptp.multiply _let_1 (tptp.multiply _let_3 tptp.a))))) (let ((_let_95 (= (tptp.multiply _let_57 _let_50) (tptp.multiply _let_53 (tptp.multiply _let_1 _let_50))))) (let ((_let_96 (tptp.multiply _let_3 _let_3))) (let ((_let_97 (tptp.multiply _let_1 _let_96))) (let ((_let_98 (= (tptp.multiply _let_75 _let_3) _let_97))) (let ((_let_99 (= (tptp.multiply _let_50 tptp.identity) (tptp.multiply _let_2 _let_38)))) (let ((_let_100 (tptp.multiply _let_2 _let_61))) (let ((_let_101 (= (tptp.multiply _let_50 _let_1) _let_100))) (let ((_let_102 (tptp.multiply tptp.a _let_53))) (let ((_let_103 (tptp.multiply _let_102 _let_1))) (let ((_let_104 (= _let_103 (tptp.multiply tptp.a _let_57)))) (let ((_let_105 (= _let_77 (tptp.multiply (tptp.multiply tptp.a _let_2) tptp.a)))) (let ((_let_106 (tptp.multiply _let_50 _let_53))) (let ((_let_107 (tptp.multiply _let_106 _let_1))) (let ((_let_108 (= _let_107 (tptp.multiply _let_50 _let_57)))) (let ((_let_109 (tptp.greatest_lower_bound _let_67 _let_27))) (let ((_let_110 (= _let_68 _let_109))) (let ((_let_111 (tptp.greatest_lower_bound _let_77 _let_78))) (let ((_let_112 (= _let_79 _let_111))) (let ((_let_113 (tptp.greatest_lower_bound _let_1 _let_75))) (let ((_let_114 (tptp.greatest_lower_bound _let_113 _let_88))) (let ((_let_115 (= (tptp.greatest_lower_bound _let_1 _let_89) _let_114))) (let ((_let_116 (= (tptp.greatest_lower_bound _let_81 _let_63) (tptp.greatest_lower_bound _let_82 _let_27)))) (let ((_let_117 (= (tptp.least_upper_bound _let_4 _let_72) (tptp.least_upper_bound _let_65 _let_47)))) (let ((_let_118 (tptp.multiply tptp.a _let_85))) (let ((_let_119 (tptp.least_upper_bound _let_78 _let_118))) (let ((_let_120 (= (tptp.multiply tptp.a _let_86) _let_119))) (let ((_let_121 (tptp.multiply tptp.a _let_81))) (let ((_let_122 (tptp.greatest_lower_bound _let_121 _let_77))) (let ((_let_123 (= (tptp.multiply tptp.a _let_82) _let_122))) (let ((_let_124 (tptp.multiply _let_34 _let_50))) (let ((_let_125 (= (tptp.multiply _let_45 _let_50) (tptp.least_upper_bound _let_77 _let_124)))) (let ((_let_126 (= (tptp.multiply _let_86 _let_1) (tptp.least_upper_bound (tptp.multiply _let_27 _let_1) (tptp.multiply _let_85 _let_1))))) (let ((_let_127 (tptp.multiply _let_3 _let_106))) (let ((_let_128 (tptp.multiply _let_127 _let_1))) (let ((_let_129 (= _let_128 (tptp.multiply _let_3 _let_107)))) (let ((_let_130 (= (tptp.multiply _let_61 _let_96) (tptp.multiply tptp.a _let_97)))) (let ((_let_131 (= _let_114 (tptp.greatest_lower_bound _let_88 _let_113)))) (let ((_let_132 (= (tptp.greatest_lower_bound _let_121 _let_111) (tptp.greatest_lower_bound _let_122 _let_78)))) (let ((_let_133 (= (tptp.least_upper_bound _let_77 _let_119) (tptp.least_upper_bound (tptp.least_upper_bound _let_77 _let_78) _let_118)))) (let ((_let_134 (= _let_67 (tptp.least_upper_bound _let_67 _let_109)))) (let ((_let_135 (= _let_77 (tptp.least_upper_bound _let_77 _let_111)))) (let ((_let_136 (tptp.greatest_lower_bound _let_61 tptp.a))) (let ((_let_137 (tptp.multiply _let_2 _let_136))) (let ((_let_138 (= _let_137 (tptp.greatest_lower_bound _let_100 _let_50)))) (let ((_let_139 (tptp.greatest_lower_bound _let_96 _let_57))) (let ((_let_140 (tptp.multiply _let_1 _let_139))) (let ((_let_141 (= _let_140 (tptp.greatest_lower_bound _let_97 _let_59)))) (let ((_let_142 (tptp.greatest_lower_bound _let_96 tptp.a))) (let ((_let_143 (tptp.multiply _let_1 _let_142))) (let ((_let_144 (= _let_143 (tptp.greatest_lower_bound _let_97 _let_27)))) (let ((_let_145 (tptp.least_upper_bound _let_102 _let_106))) (let ((_let_146 (tptp.multiply _let_145 _let_1))) (let ((_let_147 (= _let_146 (tptp.least_upper_bound _let_103 _let_107)))) (let ((_let_148 (tptp.multiply _let_78 _let_50))) (let ((_let_149 (tptp.multiply _let_77 _let_50))) (let ((_let_150 (tptp.greatest_lower_bound _let_149 _let_148))) (let ((_let_151 (= (tptp.multiply _let_111 _let_50) _let_150))) (let ((_let_152 (= (tptp.multiply (tptp.greatest_lower_bound _let_102 _let_102) _let_1) (tptp.greatest_lower_bound _let_103 _let_103)))) (let ((_let_153 (= _let_96 (tptp.multiply tptp.identity _let_96)))) (let ((_let_154 (= (tptp.multiply _let_146 _let_106) (tptp.multiply _let_145 (tptp.multiply _let_1 _let_106))))) (let ((_let_155 (= _let_136 (tptp.greatest_lower_bound tptp.a _let_61)))) (let ((_let_156 (= (tptp.least_upper_bound _let_118 _let_124) (tptp.least_upper_bound _let_124 _let_118)))) (let ((_let_157 (= (tptp.greatest_lower_bound _let_149 (tptp.greatest_lower_bound _let_148 _let_78)) (tptp.greatest_lower_bound _let_150 _let_78)))) (let ((_let_158 (tptp.greatest_lower_bound tptp.identity _let_1))) (let ((_let_159 (tptp.least_upper_bound tptp.identity _let_158))) (let ((_let_160 (= tptp.identity _let_159))) (let ((_let_161 (tptp.least_upper_bound _let_61 _let_136))) (let ((_let_162 (= _let_61 _let_161))) (let ((_let_163 (= (tptp.multiply _let_1 (tptp.greatest_lower_bound _let_142 _let_139)) (tptp.greatest_lower_bound _let_143 _let_140)))) (let ((_let_164 (tptp.multiply tptp.identity _let_136))) (let ((_let_165 (tptp.multiply _let_1 _let_136))) (let ((_let_166 (tptp.least_upper_bound _let_165 _let_164))) (let ((_let_167 (= _let_137 _let_166))) (let ((_let_168 (= (tptp.multiply (tptp.greatest_lower_bound _let_127 _let_53) _let_1) (tptp.greatest_lower_bound _let_128 _let_57)))) (let ((_let_169 (= _let_136 _let_164))) (let ((_let_170 (= _let_159 (tptp.least_upper_bound _let_158 tptp.identity)))) (let ((_let_171 (= _let_161 (tptp.least_upper_bound _let_136 _let_61)))) (let ((_let_172 (= (tptp.least_upper_bound _let_165 (tptp.least_upper_bound _let_164 tptp.identity)) (tptp.least_upper_bound _let_166 tptp.identity)))) (let ((_let_173 (SYMM (ASSUME :args (_let_9))))) (let ((_let_174 (SYMM (ASSUME :args (_let_5))))) (let ((_let_175 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_176 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_177 (_let_175))) (let ((_let_178 ((tptp.inverse X)))) (let ((_let_179 (_let_20))) (let ((_let_180 (ASSUME :args _let_179))) (let ((_let_181 ((tptp.greatest_lower_bound X Y)))) (let ((_let_182 (_let_19))) (let ((_let_183 (ASSUME :args _let_182))) (let ((_let_184 ((tptp.least_upper_bound X Y)))) (let ((_let_185 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_186 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_187 (_let_185))) (let ((_let_188 ((tptp.least_upper_bound X Y)))) (let ((_let_189 (_let_21))) (let ((_let_190 (ASSUME :args _let_189))) (let ((_let_191 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_192 (_let_18))) (let ((_let_193 (ASSUME :args _let_192))) (let ((_let_194 ((tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z)))) (let ((_let_195 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_196 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_197 (_let_195))) (let ((_let_198 ((tptp.greatest_lower_bound X Y)))) (let 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_let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.a _let_2 tptp.a QUANTIFIERS_INST_E_MATCHING _let_208)) :args _let_189))) _let_190 :args (_let_105 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.a _let_53 _let_1 QUANTIFIERS_INST_E_MATCHING _let_208)) :args _let_189)) _let_190 :args (_let_104 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_2 tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_191)) :args _let_189)) _let_190 :args (_let_101 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_2 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING _let_191)) :args _let_189)) _let_190 :args (_let_99 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_1 _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_191)) :args _let_189)) _let_190 :args (_let_98 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_53 _let_1 _let_50 QUANTIFIERS_INST_E_MATCHING _let_191)) :args _let_189)) _let_190 :args (_let_95 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_1 _let_3 tptp.a QUANTIFIERS_INST_E_MATCHING _let_191)) :args _let_189)) _let_190 :args (_let_94 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (_let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_207)) :args _let_206)) _let_205 :args (_let_93 false _let_204)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (_let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_207)) :args _let_206)) _let_205 :args (_let_92 false _let_204)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args (tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.inverse (tptp.inverse X))))) :args (_let_223))) _let_224 :args (_let_91 false _let_223)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_1 _let_42 _let_3 QUANTIFIERS_INST_E_MATCHING _let_201)) :args _let_199)) _let_200 :args (_let_90 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_1 tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_87 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.a _let_34 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_84 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_218 :args (_let_2 _let_3 tptp.a QUANTIFIERS_INST_E_MATCHING _let_219)) :args _let_217)) _let_218 :args (_let_83 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_218 :args (tptp.a _let_27 _let_50 QUANTIFIERS_INST_E_MATCHING _let_219)) :args _let_217)) _let_218 :args (_let_80 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (_let_1 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING _let_216)) :args _let_214)) _let_215 :args (_let_76 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (tptp.a _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_188)) :args _let_187)) _let_186 :args (_let_74 false _let_185)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (tptp.identity _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_198)) :args _let_197)) _let_196 :args (_let_73 false _let_195)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X X)))) :args (_let_212))) _let_213 :args (_let_71 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_210 :args (tptp.a _let_34 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_209)) _let_210 :args (_let_70 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_27 _let_50 _let_32 QUANTIFIERS_INST_E_MATCHING _let_194)) :args _let_192)) _let_193 :args (_let_69 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (tptp.identity _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_184)) :args _let_182)) _let_183 :args (_let_66 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_27 _let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_179)) _let_180 :args (_let_64 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.a _let_1 _let_53 QUANTIFIERS_INST_E_MATCHING _let_208)) :args _let_189)) _let_190 :args (_let_62 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_1 _let_53 _let_1 QUANTIFIERS_INST_E_MATCHING _let_191)) :args _let_189)) _let_190 :args (_let_60 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_178)) :args _let_177)) _let_176 :args (_let_58 false _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_207)) :args _let_206)) _let_205 :args (_let_56 false _let_204)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.inverse (tptp.multiply X Y))))) :args _let_202)) _let_203 :args (_let_55 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_1 _let_2 tptp.a QUANTIFIERS_INST_E_MATCHING _let_201)) :args _let_199)) _let_200 :args (_let_52 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_188)) :args _let_187)) _let_186 :args (_let_49 false _let_185)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_188)) :args _let_187)) _let_186 :args (_let_48 false _let_185)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_198)) :args _let_197)) _let_196 :args (_let_46 false _let_195)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_1 _let_2 _let_2 QUANTIFIERS_INST_E_MATCHING _let_194)) :args _let_192)) _let_193 :args (_let_44 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_179)) _let_180 :args (_let_41 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_1 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING _let_191)) :args _let_189)) _let_190 :args (_let_39 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (_let_1 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_188)) :args _let_187)) _let_186 :args (_let_37 false _let_185)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_188)) :args _let_187)) _let_186 :args (_let_35 false _let_185)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (_let_1 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_184)) :args _let_182)) _let_183 :args (_let_33 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_184)) :args _let_182)) _let_183 :args (_let_31 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_179)) _let_180 :args (_let_29 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_178)) :args _let_177)) _let_176 :args (_let_28 false _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_178)) :args _let_177)) _let_176 :args (_let_26 false _let_175)) _let_174 _let_173 :args (false false _let_172 false _let_171 false _let_170 false _let_169 false _let_168 false _let_167 false _let_163 false _let_162 false _let_160 false _let_157 false _let_156 false _let_155 false _let_154 false _let_153 false _let_152 false _let_151 false _let_147 false _let_144 false _let_141 false _let_138 false _let_135 false _let_134 false _let_133 false _let_132 false _let_131 false _let_130 false _let_129 false _let_126 false _let_125 false _let_123 false _let_120 false _let_117 false _let_116 false _let_115 false _let_112 false _let_110 false _let_108 false _let_105 false _let_104 false _let_101 false _let_99 false _let_98 false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_87 false _let_84 false _let_83 false _let_80 false _let_76 false _let_74 false _let_73 false _let_71 false _let_70 false _let_69 false _let_66 false _let_64 false _let_62 false _let_60 false _let_58 false _let_56 false _let_55 false _let_52 false _let_49 false _let_48 false _let_46 false _let_44 false _let_41 false _let_39 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 false _let_28 false _let_26 true _let_25 false _let_24)) :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)) _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.08/2.36  )
% 2.08/2.37  % SZS output end Proof for GRP183-4
% 2.08/2.37  % cvc5---1.0.5 exiting
% 2.08/2.37  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------