%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP175-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 00:24:59 EDT 2023

% Result   : Unsatisfiable 6.96s 7.17s
% Output   : Proof 6.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP175-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.19/0.35  % Computer : n012.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit   : 300
% 0.19/0.35  % WCLimit    : 300
% 0.19/0.35  % DateTime   : Mon Aug 28 21:33:54 EDT 2023
% 0.19/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xIjFrScJcy/cvc5---1.0.5_29210.p...
% 0.21/0.50  ------- get file name : TPTP file name is GRP175-2
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29210.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 6.96/7.17  % SZS status Unsatisfiable for GRP175-2
% 6.96/7.17  % SZS output start Proof for GRP175-2
% 6.98/7.17  (
% 6.98/7.17  (let ((_let_1 (tptp.multiply tptp.b tptp.a))) (let ((_let_2 (tptp.inverse tptp.a))) (let ((_let_3 (tptp.multiply _let_2 _let_1))) (let ((_let_4 (tptp.greatest_lower_bound tptp.identity _let_3))) (let ((_let_5 (not (= _let_4 tptp.identity)))) (let ((_let_6 (tptp.greatest_lower_bound tptp.identity tptp.b))) (let ((_let_7 (= _let_6 tptp.identity))) (let ((_let_8 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_9 (forall ((Y $$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_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_11 (forall ((X $$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_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_17 (forall ((X $$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_18 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_21 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_22 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_23 (= tptp.identity _let_6))) (let ((_let_24 (= tptp.identity _let_4))) (let ((_let_25 (tptp.multiply _let_2 tptp.a))) (let ((_let_26 (= tptp.identity _let_25))) (let ((_let_27 (tptp.greatest_lower_bound tptp.b tptp.identity))) (let ((_let_28 (= _let_6 _let_27))) (let ((_let_29 (= _let_4 (tptp.greatest_lower_bound _let_3 tptp.identity)))) (let ((_let_30 (tptp.greatest_lower_bound tptp.b _let_3))) (let ((_let_31 (tptp.greatest_lower_bound tptp.identity _let_30))) (let ((_let_32 (= _let_31 (tptp.greatest_lower_bound _let_6 _let_3)))) (let ((_let_33 (= _let_31 (tptp.greatest_lower_bound _let_30 tptp.identity)))) (let ((_let_34 (tptp.greatest_lower_bound tptp.b tptp.b))) (let ((_let_35 (= tptp.b _let_34))) (let ((_let_36 (tptp.least_upper_bound tptp.b _let_27))) (let ((_let_37 (= tptp.b _let_36))) (let ((_let_38 (= tptp.b (tptp.least_upper_bound tptp.b _let_30)))) (let ((_let_39 (tptp.greatest_lower_bound tptp.a _let_1))) (let ((_let_40 (tptp.multiply _let_2 _let_39))) (let ((_let_41 (= _let_40 (tptp.greatest_lower_bound _let_25 _let_3)))) (let ((_let_42 (tptp.greatest_lower_bound _let_1 tptp.a))) (let ((_let_43 (= _let_39 _let_42))) (let ((_let_44 (tptp.multiply _let_2 tptp.b))) (let ((_let_45 (tptp.greatest_lower_bound _let_2 _let_44))) (let ((_let_46 (= _let_45 (tptp.greatest_lower_bound _let_44 _let_2)))) (let ((_let_47 (tptp.least_upper_bound _let_27 tptp.b))) (let ((_let_48 (= _let_36 _let_47))) (let ((_let_49 (tptp.least_upper_bound tptp.a tptp.a))) (let ((_let_50 (= tptp.a _let_49))) (let ((_let_51 (tptp.least_upper_bound _let_2 _let_2))) (let ((_let_52 (= _let_2 _let_51))) (let ((_let_53 (tptp.least_upper_bound _let_4 _let_4))) (let ((_let_54 (= _let_4 _let_53))) (let ((_let_55 (tptp.least_upper_bound tptp.a _let_39))) (let ((_let_56 (= tptp.a _let_55))) (let ((_let_57 (tptp.least_upper_bound _let_2 _let_45))) (let ((_let_58 (= _let_2 _let_57))) (let ((_let_59 (tptp.greatest_lower_bound tptp.a _let_49))) (let ((_let_60 (= tptp.a _let_59))) (let ((_let_61 (= _let_2 (tptp.greatest_lower_bound _let_2 _let_51)))) (let ((_let_62 (= _let_4 (tptp.greatest_lower_bound _let_4 _let_53)))) (let ((_let_63 (tptp.greatest_lower_bound _let_1 _let_1))) (let ((_let_64 (= (tptp.multiply _let_34 tptp.a) _let_63))) (let ((_let_65 (= (tptp.greatest_lower_bound tptp.a (tptp.greatest_lower_bound _let_49 _let_1)) (tptp.greatest_lower_bound _let_59 _let_1)))) (let ((_let_66 (tptp.greatest_lower_bound _let_1 _let_42))) (let ((_let_67 (= _let_66 (tptp.greatest_lower_bound _let_63 tptp.a)))) (let ((_let_68 (tptp.multiply tptp.b _let_39))) (let ((_let_69 (tptp.least_upper_bound _let_1 _let_68))) (let ((_let_70 (= (tptp.multiply tptp.b _let_55) _let_69))) (let ((_let_71 (tptp.greatest_lower_bound _let_39 _let_39))) (let ((_let_72 (tptp.multiply _let_2 _let_71))) (let ((_let_73 (= _let_72 (tptp.greatest_lower_bound _let_40 _let_40)))) (let ((_let_74 (= (tptp.multiply _let_72 tptp.a) (tptp.multiply _let_2 (tptp.multiply _let_71 tptp.a))))) (let ((_let_75 (= _let_69 (tptp.least_upper_bound _let_68 _let_1)))) (let ((_let_76 (= (tptp.greatest_lower_bound tptp.a _let_66) (tptp.greatest_lower_bound _let_39 _let_42)))) (let ((_let_77 (tptp.multiply tptp.b _let_1))) (let ((_let_78 (tptp.greatest_lower_bound _let_1 _let_77))) (let ((_let_79 (= _let_68 _let_78))) (let ((_let_80 (tptp.multiply tptp.b tptp.b))) (let ((_let_81 (tptp.multiply _let_80 tptp.a))) (let ((_let_82 (= _let_77 _let_81))) (let ((_let_83 (= _let_78 (tptp.greatest_lower_bound _let_77 _let_1)))) (let ((_let_84 (tptp.multiply _let_1 tptp.a))) (let ((_let_85 (tptp.multiply tptp.a tptp.a))) (let ((_let_86 (tptp.greatest_lower_bound _let_85 _let_84))) (let ((_let_87 (= (tptp.multiply _let_39 tptp.a) _let_86))) (let ((_let_88 (tptp.multiply _let_45 tptp.b))) (let ((_let_89 (tptp.greatest_lower_bound _let_45 _let_88))) (let ((_let_90 (tptp.least_upper_bound _let_45 _let_89))) (let ((_let_91 (= _let_45 _let_90))) (let ((_let_92 (tptp.multiply _let_2 _let_84))) (let ((_let_93 (tptp.multiply _let_2 _let_85))) (let ((_let_94 (tptp.greatest_lower_bound _let_93 _let_92))) (let ((_let_95 (= (tptp.multiply _let_2 _let_86) _let_94))) (let ((_let_96 (tptp.greatest_lower_bound _let_80 tptp.b))) (let ((_let_97 (tptp.multiply _let_96 tptp.a))) (let ((_let_98 (= _let_97 (tptp.greatest_lower_bound _let_81 _let_1)))) (let ((_let_99 (= _let_93 (tptp.multiply _let_25 tptp.a)))) (let ((_let_100 (= (tptp.least_upper_bound _let_2 _let_89) (tptp.least_upper_bound _let_89 _let_2)))) (let ((_let_101 (= (tptp.least_upper_bound _let_2 _let_90) (tptp.least_upper_bound _let_57 _let_89)))) (let ((_let_102 (= _let_93 (tptp.least_upper_bound _let_93 _let_94)))) (let ((_let_103 (tptp.least_upper_bound tptp.a _let_1))) (let ((_let_104 (= tptp.a (tptp.greatest_lower_bound tptp.a _let_103)))) (let ((_let_105 (= (tptp.multiply _let_47 tptp.a) (tptp.least_upper_bound (tptp.multiply _let_27 tptp.a) _let_1)))) (let ((_let_106 (= (tptp.multiply (tptp.least_upper_bound _let_96 tptp.b) tptp.a) (tptp.least_upper_bound _let_97 _let_1)))) (let ((_let_107 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_108 (SYMM (ASSUME :args (_let_7))))) (let ((_let_109 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_19))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 ((tptp.greatest_lower_bound X Y)))) (let ((_let_114 (_let_17))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 ((tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z)))) (let ((_let_117 (forall ((X $$unsorted)) (= X (tptp.greatest_lower_bound X X))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (_let_119))) (let ((_let_122 ((tptp.greatest_lower_bound X Y)))) (let ((_let_123 (_let_10))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 ((tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z))))) (let ((_let_126 (_let_18))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 ((tptp.least_upper_bound X Y)))) (let ((_let_129 (forall ((X $$unsorted)) (= X (tptp.least_upper_bound X X))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (_let_129))) (let ((_let_132 ((tptp.least_upper_bound X X)))) (let ((_let_133 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (_let_133))) (let ((_let_136 ((tptp.least_upper_bound X Y)))) (let ((_let_137 (_let_8))) (let ((_let_138 (ASSUME :args _let_137))) (let ((_let_139 ((tptp.multiply (tptp.greatest_lower_bound Y Z) X)))) (let ((_let_140 (_let_11))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 (_let_20))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 ((tptp.multiply X (tptp.greatest_lower_bound Y Z))))) (let ((_let_145 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_146 (_let_16))) (let ((_let_147 (ASSUME :args _let_146))) (let ((_let_148 (_let_9))) (let ((_let_149 (ASSUME :args _let_148))) (let ((_let_150 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (and _let_23 _let_26 _let_28 _let_29 _let_32 _let_33 _let_35 _let_37 _let_38 _let_41 _let_43 _let_46 _let_48 _let_50 _let_52 _let_54 _let_56 _let_58 _let_60 _let_61 _let_62 _let_64 _let_65 _let_67 _let_70 _let_73 _let_74 _let_75 _let_76 _let_79 _let_82 _let_83 _let_87 _let_91 _let_95 _let_98 _let_99 _let_100 _let_101 _let_102 _let_104 _let_105 _let_106 _let_107))) (let ((_let_153 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_154 (REFL :args (_let_3)))) (let ((_let_155 (ASSUME :args (_let_26)))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (CONG _let_156 _let_154 :args _let_153))) (let ((_let_158 (ASSUME :args (_let_41)))) (let ((_let_159 (SYMM _let_158))) (let ((_let_160 (APPLY_UF tptp.multiply))) (let ((_let_161 (REFL :args (tptp.a)))) (let ((_let_162 (ASSUME :args (_let_38)))) (let ((_let_163 (CONG (SYMM _let_162) _let_161 :args _let_160))) (let ((_let_164 (ASSUME :args (_let_37)))) (let ((_let_165 (ASSUME :args (_let_48)))) (let ((_let_166 (ASSUME :args (_let_105)))) (let ((_let_167 (APPLY_UF tptp.least_upper_bound))) (let ((_let_168 (ASSUME :args (_let_56)))) (let ((_let_169 (ASSUME :args (_let_70)))) (let ((_let_170 (ASSUME :args (_let_75)))) (let ((_let_171 (REFL :args (_let_1)))) (let ((_let_172 (ASSUME :args (_let_79)))) (let ((_let_173 (ASSUME :args (_let_83)))) (let ((_let_174 (ASSUME :args (_let_82)))) (let ((_let_175 (ASSUME :args (_let_98)))) (let ((_let_176 (ASSUME :args (_let_106)))) (let ((_let_177 (TRANS (SYMM (SYMM _let_176)) (CONG (TRANS (SYMM (SYMM _let_175)) (CONG (SYMM _let_174) _let_171 :args _let_153) (SYMM _let_173) (SYMM _let_172)) _let_171 :args _let_167) (SYMM _let_170) (SYMM _let_169) (CONG _let_162 (SYMM _let_168) :args _let_160) _let_163))) (let ((_let_178 (ASSUME :args (_let_28)))) (let ((_let_179 (SYMM _let_108))) (let ((_let_180 (ASSUME :args (_let_99)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (ASSUME :args (_let_102)))) (let ((_let_183 (ASSUME :args (_let_95)))) (let ((_let_184 (ASSUME :args (_let_87)))) (let ((_let_185 (ASSUME :args (_let_60)))) (let ((_let_186 (ASSUME :args (_let_65)))) (let ((_let_187 (ASSUME :args (_let_50)))) (let ((_let_188 (ASSUME :args (_let_43)))) (let ((_let_189 (ASSUME :args (_let_35)))) (let ((_let_190 (ASSUME :args (_let_64)))) (let ((_let_191 (ASSUME :args (_let_67)))) (let ((_let_192 (ASSUME :args (_let_76)))) (let ((_let_193 (ASSUME :args (_let_74)))) (let ((_let_194 (ASSUME :args (_let_73)))) (let ((_let_195 (SYMM _let_157))) (let ((_let_196 (ASSUME :args (_let_54)))) (let ((_let_197 (ASSUME :args (_let_29)))) (let ((_let_198 (ASSUME :args (_let_62)))) (let ((_let_199 (ASSUME :args (_let_32)))) (let ((_let_200 (ASSUME :args (_let_33)))) (let ((_let_201 (CONG (REFL :args (_let_93)) (TRANS (CONG (TRANS (SYMM _let_200) (SYMM (SYMM _let_199)) (CONG _let_179 _let_154 :args _let_153) (SYMM (SYMM _let_198)) (CONG (TRANS _let_197 (TRANS (SYMM _let_197) _let_195 _let_159)) (TRANS (SYMM _let_196) _let_195 _let_159) :args _let_153) (SYMM _let_194)) _let_161 :args _let_160) (SYMM (SYMM _let_193)) (CONG (REFL :args (_let_2)) (TRANS (CONG (TRANS (CONG (REFL :args (_let_39)) _let_188 :args _let_153) (SYMM _let_192) (CONG _let_161 (TRANS (SYMM (SYMM _let_191)) (CONG (TRANS (SYMM _let_190) (CONG (TRANS (SYMM _let_189) _let_162) _let_161 :args _let_160) _let_163) _let_161 :args _let_153) (SYMM _let_188) (CONG (SYMM (SYMM _let_187)) _let_171 :args _let_153)) :args _let_153) (SYMM (SYMM _let_186)) (CONG (SYMM _let_185) _let_171 :args _let_153)) _let_161 :args _let_160) (SYMM (SYMM _let_184))) :args _let_160) (SYMM (SYMM _let_183))) :args _let_167))) (let ((_let_202 (ASSUME :args (_let_107)))) (let ((_let_203 (ASSUME :args (_let_104)))) (let ((_let_204 (ASSUME :args (_let_61)))) (let ((_let_205 (ASSUME :args (_let_52)))) (let ((_let_206 (SYMM _let_205))) (let ((_let_207 (ASSUME :args (_let_58)))) (let ((_let_208 (ASSUME :args (_let_46)))) (let ((_let_209 (ASSUME :args (_let_91)))) (let ((_let_210 (ASSUME :args (_let_101)))) (let ((_let_211 (ASSUME :args (_let_100)))) (let ((_let_212 (TRANS (SYMM _let_211) (CONG _let_207 (REFL :args (_let_89)) :args _let_167) (SYMM _let_210) (CONG _let_205 (TRANS (SYMM _let_209) _let_208) :args _let_167) (CONG _let_206 (SYMM _let_208) :args _let_167) (SYMM _let_207) _let_205))) (let ((_let_213 (TRANS (CONG _let_212 _let_212 :args _let_153) (CONG _let_206 (REFL :args (_let_51)) :args _let_153) (SYMM _let_204)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_152)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_155 _let_158 _let_204 _let_205 _let_207 _let_208 _let_209 _let_210 _let_211 _let_203 _let_162 _let_164 _let_165 _let_166 _let_178 _let_108 _let_180 _let_168 _let_169 _let_170 _let_172 _let_173 _let_174 _let_175 _let_176 _let_182 _let_183 _let_184 _let_185 _let_186 _let_187 _let_188 _let_189 _let_190 _let_191 _let_192 _let_193 _let_194 _let_197 _let_196 _let_198 _let_199 _let_200 _let_202) (SCOPE (TRANS _let_155 (CONG (SYMM _let_213) _let_161 :args _let_160) (CONG _let_213 (TRANS _let_203 (CONG _let_203 (REFL :args (_let_103)) :args _let_153) (CONG (SYMM _let_203) (TRANS (CONG (TRANS (TRANS (SYMM (SYMM _let_202)) (CONG _let_155 _let_161 :args _let_160) _let_181 _let_182 (SYMM _let_201)) (TRANS _let_201 (SYMM _let_182)) (SYMM _let_181)) (SYMM _let_177) :args _let_167) (CONG (CONG (TRANS _let_156 (SYMM _let_179) (SYMM (SYMM _let_178))) _let_161 :args _let_160) _let_177 :args _let_167) (SYMM _let_166) (CONG (TRANS (TRANS (SYMM _let_165) (SYMM _let_164)) _let_162) _let_161 :args _let_160) _let_163) :args _let_153)) :args _let_160) (SYMM _let_159) _let_157) :args (_let_26 _let_41 _let_61 _let_52 _let_58 _let_46 _let_91 _let_101 _let_100 _let_104 _let_38 _let_37 _let_48 _let_105 _let_28 _let_23 _let_99 _let_56 _let_70 _let_75 _let_79 _let_83 _let_82 _let_98 _let_106 _let_102 _let_95 _let_87 _let_60 _let_65 _let_50 _let_43 _let_35 _let_64 _let_67 _let_76 _let_74 _let_73 _let_29 _let_54 _let_62 _let_32 _let_33 _let_107))) :args (_let_23 _let_26 _let_28 _let_29 _let_32 _let_33 _let_35 _let_37 _let_38 _let_41 _let_43 _let_46 _let_48 _let_50 _let_52 _let_54 _let_56 _let_58 _let_60 _let_61 _let_62 _let_64 _let_65 _let_67 _let_70 _let_73 _let_74 _let_75 _let_76 _let_79 _let_82 _let_83 _let_87 _let_91 _let_95 _let_98 _let_99 _let_100 _let_101 _let_102 _let_104 _let_105 _let_106 _let_107))) :args (true _let_152)) :args ((or _let_24 (not _let_23) (not _let_26) (not _let_28) (not _let_29) (not _let_32) (not _let_33) (not _let_35) (not _let_37) (not _let_38) (not _let_41) (not _let_43) (not _let_46) (not _let_48) (not _let_50) (not _let_52) (not _let_54) (not _let_56) (not _let_58) (not _let_60) (not _let_61) (not _let_62) (not _let_64) (not _let_65) (not _let_67) (not _let_70) (not _let_73) (not _let_74) (not _let_75) (not _let_76) (not _let_79) (not _let_82) (not _let_83) (not _let_87) (not _let_91) (not _let_95) (not _let_98) (not _let_99) (not _let_100) (not _let_101) (not _let_102) (not _let_104) (not _let_105) (not _let_106) (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply tptp.identity X)))) :args (_let_150))) _let_151 :args (_let_107 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_96 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X))))) :args _let_148)) _let_149 :args (_let_106 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_27 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply 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_let_143 :args (_let_2 tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_145)) :args _let_142))) _let_143 :args (_let_99 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_80 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X))))) :args _let_137)) _let_138 :args (_let_98 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_2 _let_85 _let_84 QUANTIFIERS_INST_E_MATCHING _let_144)) :args _let_123)) _let_124 :args (_let_95 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_45 _let_88 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_91 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.a _let_1 tptp.a QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_87 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_1 _let_77 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_111)) _let_112 :args (_let_83 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.b tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_145)) :args _let_142))) _let_143 :args (_let_82 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.b tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_144)) :args _let_123)) _let_124 :args (_let_79 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.a _let_1 _let_42 QUANTIFIERS_INST_E_MATCHING ((tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z))))) :args _let_114)) _let_115 :args (_let_76 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (_let_1 _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_126)) _let_127 :args (_let_75 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_2 _let_71 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.multiply X Y) Z)))) :args _let_142)) _let_143 :args (_let_74 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_2 _let_39 _let_39 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_73 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.b tptp.a _let_39 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.least_upper_bound Y Z))))) :args _let_140)) _let_141 :args (_let_70 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_1 _let_1 tptp.a QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_114)) _let_115 :args (_let_67 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.a _let_49 _let_1 QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_114)) _let_115 :args (_let_65 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.b tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_64 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_4 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_135)) _let_134 :args (_let_62 false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_2 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_135)) _let_134 :args (_let_61 false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_135)) _let_134 :args (_let_60 false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_2 _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_58 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_56 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_54 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_52 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_50 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.b _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_126)) _let_127 :args (_let_48 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_2 _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_111)) _let_112 :args (_let_46 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_111)) _let_112 :args (_let_43 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_2 tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_41 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_38 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_37 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X X)))) :args (_let_117))) _let_118 :args (_let_35 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.identity _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_111)) _let_112 :args (_let_33 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.identity tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_114)) _let_115 :args (_let_32 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.identity _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_111)) _let_112 :args (_let_29 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.identity tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_111)) _let_112 :args (_let_28 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args (_let_109))) _let_110 :args (_let_26 false _let_109)) (SYMM (ASSUME :args (_let_5))) _let_108 :args (false false _let_107 false _let_106 false _let_105 false _let_104 false _let_102 false _let_101 false _let_100 false _let_99 false _let_98 false _let_95 false _let_91 false _let_87 false _let_83 false _let_82 false _let_79 false _let_76 false _let_75 false _let_74 false _let_73 false _let_70 false _let_67 false _let_65 false _let_64 false _let_62 false _let_61 false _let_60 false _let_58 false _let_56 false _let_54 false _let_52 false _let_50 false _let_48 false _let_46 false _let_43 false _let_41 false _let_38 false _let_37 false _let_35 false _let_33 false _let_32 false _let_29 false _let_28 false _let_26 true _let_24 false _let_23)) :args (_let_22 _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_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 6.98/7.17  )
% 6.98/7.21  % SZS output end Proof for GRP175-2
% 6.98/7.21  % cvc5---1.0.5 exiting
% 6.98/7.21  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------