TSTP Solution File: BOO012-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : BOO012-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 : Wed Aug 30 18:06:18 EDT 2023

% Result   : Unsatisfiable 0.20s 0.73s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : BOO012-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 08:02:40 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.RL0e8rCaFk/cvc5---1.0.5_16511.p...
% 0.20/0.49  ------- get file name : TPTP file name is BOO012-2
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16511.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.73  % SZS status Unsatisfiable for BOO012-2
% 0.20/0.73  % SZS output start Proof for BOO012-2
% 0.20/0.74  (
% 0.20/0.74  (let ((_let_1 (tptp.inverse tptp.x))) (let ((_let_2 (tptp.inverse _let_1))) (let ((_let_3 (not (= _let_2 tptp.x)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.multiplicative_identity) X)))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.additive_identity)))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.additive_identity)))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.add (tptp.inverse X) X) tptp.multiplicative_identity)))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.add X (tptp.inverse X)) tptp.multiplicative_identity)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.multiply Y Z)) (tptp.multiply (tptp.add X Y) (tptp.add X Z)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.multiply X Y) Z) (tptp.multiply (tptp.add X Z) (tptp.add Y Z)))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y) (tptp.multiply Y X))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_17 (= tptp.x _let_2))) (let ((_let_18 (tptp.add tptp.x _let_1))) (let ((_let_19 (= tptp.multiplicative_identity _let_18))) (let ((_let_20 (tptp.add _let_1 _let_2))) (let ((_let_21 (= tptp.multiplicative_identity _let_20))) (let ((_let_22 (= tptp.multiplicative_identity (tptp.add _let_1 tptp.x)))) (let ((_let_23 (tptp.add _let_2 _let_1))) (let ((_let_24 (= tptp.multiplicative_identity _let_23))) (let ((_let_25 (tptp.multiply tptp.x _let_1))) (let ((_let_26 (= tptp.additive_identity _let_25))) (let ((_let_27 (tptp.multiply _let_1 tptp.x))) (let ((_let_28 (= tptp.additive_identity _let_27))) (let ((_let_29 (tptp.multiply _let_2 _let_1))) (let ((_let_30 (= tptp.additive_identity _let_29))) (let ((_let_31 (tptp.add tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_32 (tptp.add tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_33 (= _let_32 _let_31))) (let ((_let_34 (tptp.multiply tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_35 (tptp.multiply tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_36 (= _let_35 _let_34))) (let ((_let_37 (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_38 (tptp.multiply _let_37 _let_37))) (let ((_let_39 (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_40 (= (tptp.add _let_39 tptp.multiplicative_identity) _let_38))) (let ((_let_41 (= _let_38 (tptp.add tptp.multiplicative_identity _let_39)))) (let ((_let_42 (= (tptp.add _let_39 _let_39) (tptp.multiply tptp.multiplicative_identity _let_37)))) (let ((_let_43 (tptp.inverse tptp.multiplicative_identity))) (let ((_let_44 (tptp.add _let_43 tptp.multiplicative_identity))) (let ((_let_45 (= tptp.multiplicative_identity _let_44))) (let ((_let_46 (tptp.multiply _let_43 tptp.multiplicative_identity))) (let ((_let_47 (= tptp.additive_identity _let_46))) (let ((_let_48 (= tptp.multiplicative_identity _let_39))) (let ((_let_49 (= tptp.multiplicative_identity _let_32))) (let ((_let_50 (= (tptp.add _let_46 tptp.multiplicative_identity) (tptp.multiply _let_44 _let_37)))) (let ((_let_51 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_52 (tptp.add _let_51 _let_35))) (let ((_let_53 (= (tptp.multiply _let_31 tptp.additive_identity) _let_52))) (let ((_let_54 (= tptp.additive_identity _let_34))) (let ((_let_55 (= _let_43 _let_46))) (let ((_let_56 (= _let_52 (tptp.add _let_35 _let_51)))) (let ((_let_57 (tptp.add tptp.multiplicative_identity _let_2))) (let ((_let_58 (tptp.multiply _let_57 (tptp.add tptp.multiplicative_identity _let_1)))) (let ((_let_59 (= (tptp.add tptp.multiplicative_identity _let_29) _let_58))) (let ((_let_60 (tptp.add _let_51 _let_1))) (let ((_let_61 (tptp.add _let_51 _let_2))) (let ((_let_62 (tptp.multiply _let_61 _let_60))) (let ((_let_63 (= (tptp.add _let_51 _let_29) _let_62))) (let ((_let_64 (= _let_51 (tptp.add _let_51 tptp.additive_identity)))) (let ((_let_65 (tptp.add _let_2 tptp.multiplicative_identity))) (let ((_let_66 (= _let_65 _let_57))) (let ((_let_67 (= _let_60 (tptp.add _let_1 _let_51)))) (let ((_let_68 (tptp.add _let_2 _let_51))) (let ((_let_69 (= _let_61 _let_68))) (let ((_let_70 (tptp.add tptp.additive_identity _let_1))) (let ((_let_71 (tptp.multiply _let_70 _let_70))) (let ((_let_72 (= _let_60 _let_71))) (let ((_let_73 (tptp.multiply _let_1 _let_37))) (let ((_let_74 (tptp.multiply _let_2 _let_37))) (let ((_let_75 (tptp.add _let_74 _let_73))) (let ((_let_76 (= (tptp.multiply _let_23 _let_37) _let_75))) (let ((_let_77 (tptp.multiply _let_2 _let_60))) (let ((_let_78 (tptp.add (tptp.multiply _let_51 _let_60) _let_77))) (let ((_let_79 (= _let_62 _let_78))) (let ((_let_80 (tptp.add _let_62 _let_62))) (let ((_let_81 (tptp.add _let_61 _let_61))) (let ((_let_82 (= (tptp.multiply _let_81 _let_60) _let_80))) (let ((_let_83 (tptp.multiply _let_37 _let_1))) (let ((_let_84 (tptp.multiply _let_37 _let_2))) (let ((_let_85 (= (tptp.multiply _let_37 _let_23) (tptp.add _let_84 _let_83)))) (let ((_let_86 (tptp.multiply _let_57 _let_1))) (let ((_let_87 (tptp.multiply _let_57 tptp.multiplicative_identity))) (let ((_let_88 (tptp.add _let_87 _let_86))) (let ((_let_89 (= _let_58 _let_88))) (let ((_let_90 (tptp.add _let_60 _let_60))) (let ((_let_91 (tptp.multiply _let_61 _let_90))) (let ((_let_92 (= _let_80 _let_91))) (let ((_let_93 (= _let_1 _let_70))) (let ((_let_94 (= _let_2 (tptp.add tptp.additive_identity _let_2)))) (let ((_let_95 (= _let_75 (tptp.add _let_73 _let_74)))) (let ((_let_96 (= _let_73 _let_83))) (let ((_let_97 (= _let_74 _let_84))) (let ((_let_98 (= (tptp.multiply _let_65 _let_1) (tptp.multiply _let_1 _let_65)))) (let ((_let_99 (= _let_78 (tptp.multiply (tptp.add _let_51 _let_77) (tptp.add _let_60 _let_77))))) (let ((_let_100 (= (tptp.add (tptp.multiply tptp.multiplicative_identity _let_1) _let_2) (tptp.multiply _let_57 _let_20)))) (let ((_let_101 (tptp.add _let_2 _let_61))) (let ((_let_102 (= (tptp.add _let_2 _let_91) (tptp.multiply _let_101 (tptp.add _let_2 _let_90))))) (let ((_let_103 (= (tptp.add _let_2 (tptp.multiply _let_51 _let_1)) (tptp.multiply _let_68 _let_23)))) (let ((_let_104 (tptp.multiply _let_2 tptp.multiplicative_identity))) (let ((_let_105 (= (tptp.add tptp.multiplicative_identity _let_104) (tptp.multiply _let_57 _let_37)))) (let ((_let_106 (tptp.add _let_70 _let_81))) (let ((_let_107 (tptp.multiply _let_106 _let_70))) (let ((_let_108 (= _let_107 (tptp.add _let_71 (tptp.multiply _let_81 _let_70))))) (let ((_let_109 (= (tptp.multiply _let_1 _let_88) (tptp.add (tptp.multiply _let_1 _let_87) (tptp.multiply _let_1 _let_86))))) (let ((_let_110 (= (tptp.multiply _let_1 (tptp.add tptp.x _let_70)) (tptp.add _let_27 (tptp.multiply _let_1 _let_70))))) (let ((_let_111 (tptp.add _let_70 tptp.x))) (let ((_let_112 (tptp.multiply (tptp.add _let_106 tptp.x) _let_111))) (let ((_let_113 (= (tptp.add _let_107 tptp.x) _let_112))) (let ((_let_114 (= (tptp.add _let_74 _let_61) (tptp.multiply _let_101 (tptp.add _let_37 _let_61))))) (let ((_let_115 (= (tptp.add _let_27 tptp.x) (tptp.add tptp.x _let_27)))) (let ((_let_116 (tptp.add tptp.x _let_2))) (let ((_let_117 (= (tptp.add _let_2 tptp.x) _let_116))) (let ((_let_118 (= _let_112 (tptp.add (tptp.multiply _let_106 _let_111) (tptp.multiply tptp.x _let_111))))) (let ((_let_119 (= tptp.x (tptp.multiply tptp.x tptp.multiplicative_identity)))) (let ((_let_120 (= tptp.x (tptp.add tptp.additive_identity tptp.x)))) (let ((_let_121 (= (tptp.add _let_25 _let_2) (tptp.multiply _let_116 _let_20)))) (let ((_let_122 (= (tptp.add tptp.x _let_29) (tptp.multiply _let_116 _let_18)))) (let ((_let_123 (SYMM (ASSUME :args (_let_3))))) (let ((_let_124 (forall ((X $$unsorted)) (= tptp.multiplicative_identity (tptp.add X (tptp.inverse X)))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_124))) (let ((_let_127 ((tptp.inverse X)))) (let ((_let_128 (forall ((X $$unsorted)) (= tptp.multiplicative_identity (tptp.add (tptp.inverse X) X))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (_let_128))) (let ((_let_131 ((tptp.inverse X)))) (let ((_let_132 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X (tptp.inverse X)))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (_let_134))) (let ((_let_137 ((tptp.inverse X)))) (let ((_let_138 (_let_16))) (let ((_let_139 (ASSUME :args _let_138))) (let ((_let_140 (tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_141 (_let_15))) (let ((_let_142 (ASSUME :args _let_141))) (let ((_let_143 (_let_14))) (let ((_let_144 (ASSUME :args _let_143))) (let ((_let_145 (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_ENUM))) (let ((_let_146 (_let_13))) (let ((_let_147 (ASSUME :args _let_146))) (let ((_let_148 (_let_11))) (let ((_let_149 (ASSUME :args _let_148))) (let ((_let_150 (tptp.multiplicative_identity QUANTIFIERS_INST_ENUM))) (let ((_let_151 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.multiplicative_identity))))) (let ((_let_152 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_153 (_let_151))) (let ((_let_154 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_156 (_let_154))) (let ((_let_157 ((tptp.add (tptp.multiply X Y) Z)))) (let ((_let_158 (_let_12))) (let ((_let_159 (ASSUME :args _let_158))) (let ((_let_160 ((tptp.multiply (tptp.add X Y) Z)))) (let ((_let_161 ((tptp.multiply X tptp.multiplicative_identity)))) (let ((_let_162 ((tptp.add X Y)))) (let ((_let_163 ((tptp.add X (tptp.multiply Y Z))))) (let ((_let_164 ((tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) (let ((_let_165 ((tptp.multiply X (tptp.add Y Z))))) (let ((_let_166 ((tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) (let ((_let_167 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_168 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (_let_167))) (let ((_let_170 ((tptp.add tptp.additive_identity X)))) (let ((_let_171 ((tptp.multiply X Y)))) (let ((_let_172 ((tptp.multiply (tptp.add X Z) (tptp.add Y Z))))) (let ((_let_173 ((tptp.multiply (tptp.add X Y) (tptp.add X Z))))) (let ((_let_174 (not _let_17))) (let ((_let_175 (and _let_174 _let_19 _let_21 _let_22 _let_24 _let_26 _let_28 _let_30 _let_33 _let_36 _let_40 _let_41 _let_42 _let_45 _let_47 _let_48 _let_49 _let_50 _let_53 _let_54 _let_55 _let_56 _let_59 _let_63 _let_64 _let_66 _let_67 _let_69 _let_72 _let_76 _let_79 _let_82 _let_85 _let_89 _let_92 _let_93 _let_94 _let_95 _let_96 _let_97 _let_98 _let_99 _let_100 _let_102 _let_103 _let_105 _let_108 _let_109 _let_110 _let_113 _let_114 _let_115 _let_117 _let_118 _let_119 _let_120 _let_121))) (let ((_let_176 (ASSUME :args (_let_94)))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (APPLY_UF tptp.add))) (let ((_let_179 (REFL :args (_let_2)))) (let ((_let_180 (ASSUME :args (_let_54)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (ASSUME :args (_let_36)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (APPLY_UF tptp.multiply))) (let ((_let_186 (REFL :args (tptp.additive_identity)))) (let ((_let_187 (ASSUME :args (_let_49)))) (let ((_let_188 (SYMM _let_187))) (let ((_let_189 (ASSUME :args (_let_33)))) (let ((_let_190 (SYMM _let_189))) (let ((_let_191 (CONG (TRANS _let_190 _let_188) _let_186 :args _let_185))) (let ((_let_192 (ASSUME :args (_let_53)))) (let ((_let_193 (SYMM _let_192))) (let ((_let_194 (TRANS _let_180 _let_183))) (let ((_let_195 (REFL :args (_let_51)))) (let ((_let_196 (CONG _let_195 _let_194 :args _let_178))) (let ((_let_197 (ASSUME :args (_let_64)))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (ASSUME :args (_let_47)))) (let ((_let_201 (SYMM _let_200))) (let ((_let_202 (ASSUME :args (_let_55)))) (let ((_let_203 (CONG _let_186 (TRANS (SYMM (SYMM _let_202)) _let_201) :args _let_185))) (let ((_let_204 (TRANS (SYMM _let_203) (TRANS _let_203 _let_199 _let_196 _let_193 _let_191 _let_184 _let_181)))) (let ((_let_205 (CONG _let_204 _let_179 :args _let_178))) (let ((_let_206 (TRANS _let_205 _let_177))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (SYMM _let_204))) (let ((_let_209 (ASSUME :args (_let_26)))) (let ((_let_210 (ASSUME :args (_let_121)))) (let ((_let_211 (ASSUME :args (_let_21)))) (let ((_let_212 (SYMM _let_211))) (let ((_let_213 (SYMM _let_212))) (let ((_let_214 (ASSUME :args (_let_22)))) (let ((_let_215 (REFL :args (tptp.x)))) (let ((_let_216 (ASSUME :args (_let_93)))) (let ((_let_217 (SYMM _let_216))) (let ((_let_218 (REFL :args (_let_1)))) (let ((_let_219 (CONG _let_204 _let_218 :args _let_178))) (let ((_let_220 (TRANS _let_219 _let_217))) (let ((_let_221 (SYMM _let_219))) (let ((_let_222 (CONG _let_204 _let_220 :args _let_178))) (let ((_let_223 (ASSUME :args (_let_72)))) (let ((_let_224 (SYMM _let_223))) (let ((_let_225 (CONG _let_216 _let_216 :args _let_185))) (let ((_let_226 (ASSUME :args (_let_28)))) (let ((_let_227 (SYMM _let_226))) (let ((_let_228 (CONG (TRANS _let_227 _let_208) (TRANS (CONG _let_218 _let_217 :args _let_185) _let_225 _let_224) :args _let_178))) (let ((_let_229 (ASSUME :args (_let_110)))) (let ((_let_230 (SYMM _let_229))) (let ((_let_231 (ASSUME :args (_let_19)))) (let ((_let_232 (SYMM _let_231))) (let ((_let_233 (REFL :args (tptp.multiplicative_identity)))) (let ((_let_234 (CONG _let_201 _let_233 :args _let_178))) (let ((_let_235 (ASSUME :args (_let_50)))) (let ((_let_236 (SYMM _let_235))) (let ((_let_237 (ASSUME :args (_let_45)))) (let ((_let_238 (CONG (SYMM (SYMM _let_237)) (REFL :args (_let_37)) :args _let_185))) (let ((_let_239 (ASSUME :args (_let_42)))) (let ((_let_240 (SYMM _let_239))) (let ((_let_241 (SYMM _let_240))) (let ((_let_242 (ASSUME :args (_let_48)))) (let ((_let_243 (SYMM _let_242))) (let ((_let_244 (SYMM _let_243))) (let ((_let_245 (CONG (REFL :args (_let_39)) _let_244 :args _let_178))) (let ((_let_246 (ASSUME :args (_let_40)))) (let ((_let_247 (SYMM _let_246))) (let ((_let_248 (ASSUME :args (_let_41)))) (let ((_let_249 (SYMM _let_248))) (let ((_let_250 (CONG _let_233 _let_244 :args _let_178))) (let ((_let_251 (CONG _let_218 (TRANS _let_250 _let_249 _let_247 _let_245 _let_241 _let_238 _let_236 _let_234 _let_190 _let_188 (SYMM _let_232) (CONG _let_215 _let_216 :args _let_178)) :args _let_185))) (let ((_let_252 (TRANS _let_251 (SYMM _let_230) _let_228 _let_222))) (let ((_let_253 (SYMM _let_251))) (let ((_let_254 (SYMM _let_228))) (let ((_let_255 (SYMM _let_222))) (let ((_let_256 (ASSUME :args (_let_67)))) (let ((_let_257 (SYMM _let_256))) (let ((_let_258 (SYMM _let_196))) (let ((_let_259 (ASSUME :args (_let_56)))) (let 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (_let_74 _let_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_138)) _let_139 :args (_let_95 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_170)) :args _let_169)) _let_168 :args (_let_94 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_170)) :args _let_169)) _let_168 :args (_let_93 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_61 _let_60 _let_60 QUANTIFIERS_INST_E_MATCHING _let_166)) :args _let_148))) _let_149 :args (_let_92 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_57 tptp.multiplicative_identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_148)) _let_149 :args (_let_89 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_37 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_148)) _let_149 :args (_let_85 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_61 _let_61 _let_60 QUANTIFIERS_INST_E_MATCHING _let_164)) :args _let_158)) _let_159 :args (_let_82 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_51 _let_2 _let_60 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_158)) _let_159 :args (_let_79 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_2 _let_1 _let_37 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_158)) _let_159 :args (_let_76 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (tptp.additive_identity tptp.additive_identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_157)) :args _let_143)) _let_144 :args (_let_72 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (_let_51 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_138)) _let_139 :args (_let_69 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (_let_51 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_138)) _let_139 :args (_let_67 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.multiplicative_identity _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_138))) _let_139 :args (_let_66 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.add X tptp.additive_identity)))) :args _let_156)) _let_155 :args (_let_64 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_51 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_146)) _let_147 :args (_let_63 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (tptp.multiplicative_identity _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_146)) _let_147 :args (_let_59 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (_let_51 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_138)) _let_139 :args (_let_56 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_153)) _let_152 :args (_let_55 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_153)) _let_152 :args (_let_54 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_158)) _let_159 :args (_let_53 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_43 tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING _let_157)) :args _let_143)) _let_144 :args (_let_50 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args _let_150) :args _let_156)) _let_155 :args (_let_49 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args _let_150) :args _let_153)) _let_152 :args (_let_48 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args _let_150) :args _let_136)) _let_135 :args (_let_47 false _let_134)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args _let_150) :args _let_130)) _let_129 :args (_let_45 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_149 :args _let_145) :args _let_148))) _let_149 :args (_let_42 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_147 :args _let_145) :args _let_146))) _let_147 :args (_let_41 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args _let_145) :args _let_143)) _let_144 :args (_let_40 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args _let_140) :args _let_141)) _let_142 :args (_let_36 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args _let_140) :args _let_138)) _let_139 :args (_let_33 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_136)) _let_135 :args (_let_30 false _let_134)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_136)) _let_135 :args (_let_28 false _let_134)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args (_let_132))) _let_133 :args (_let_26 false _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) _let_129 :args (_let_24 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) _let_129 :args (_let_22 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_21 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_19 false _let_124)) _let_123 :args (false false _let_122 false _let_121 false _let_120 false _let_119 false _let_118 false _let_117 false _let_115 false _let_114 false _let_113 false _let_110 false _let_109 false _let_108 false _let_105 false _let_103 false _let_102 false _let_100 false _let_99 false _let_98 false _let_97 false _let_96 false _let_95 false _let_94 false _let_93 false _let_92 false _let_89 false _let_85 false _let_82 false _let_79 false _let_76 false _let_72 false _let_69 false _let_67 false _let_66 false _let_64 false _let_63 false _let_59 false _let_56 false _let_55 false _let_54 false _let_53 false _let_50 false _let_49 false _let_48 false _let_47 false _let_45 false _let_42 false _let_41 false _let_40 false _let_36 false _let_33 false _let_30 false _let_28 false _let_26 false _let_24 false _let_22 false _let_21 false _let_19 true _let_17)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((X $$unsorted)) (= (tptp.multiply tptp.multiplicative_identity X) X)) _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.74  )
% 0.20/0.74  % SZS output end Proof for BOO012-2
% 0.20/0.75  % cvc5---1.0.5 exiting
% 0.20/0.75  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------