TSTP Solution File: BOO006-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : BOO006-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 18:06:13 EDT 2023
% Result : Unsatisfiable 0.67s 0.92s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 08:37:39 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.qvkcF1JAlA/cvc5---1.0.5_18513.p...
% 0.21/0.50 ------- get file name : TPTP file name is BOO006-2
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18513.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.67/0.92 % SZS status Unsatisfiable for BOO006-2
% 0.67/0.92 % SZS output start Proof for BOO006-2
% 0.67/0.93 (
% 0.67/0.93 (let ((_let_1 (tptp.multiply tptp.a tptp.additive_identity))) (let ((_let_2 (not (= _let_1 tptp.additive_identity)))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.multiplicative_identity) X)))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.additive_identity)))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.add (tptp.inverse X) X) tptp.multiplicative_identity)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.multiply Y Z)) (tptp.multiply (tptp.add X Y) (tptp.add X Z)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.multiply X Y) Z) (tptp.multiply (tptp.add X Z) (tptp.add Y Z)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y) (tptp.multiply Y X))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_13 (= tptp.additive_identity _let_1))) (let ((_let_14 (= _let_1 (tptp.multiply tptp.additive_identity tptp.a)))) (let ((_let_15 (tptp.add tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_16 (tptp.add tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (tptp.multiply tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_19 (tptp.multiply tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_22 (tptp.multiply _let_21 _let_21))) (let ((_let_23 (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_24 (= (tptp.add _let_23 tptp.multiplicative_identity) _let_22))) (let ((_let_25 (= _let_22 (tptp.add tptp.multiplicative_identity _let_23)))) (let ((_let_26 (= (tptp.add _let_23 _let_23) (tptp.multiply tptp.multiplicative_identity _let_21)))) (let ((_let_27 (tptp.inverse tptp.multiplicative_identity))) (let ((_let_28 (tptp.add _let_27 tptp.multiplicative_identity))) (let ((_let_29 (= tptp.multiplicative_identity _let_28))) (let ((_let_30 (tptp.multiply _let_27 tptp.multiplicative_identity))) (let ((_let_31 (= tptp.additive_identity _let_30))) (let ((_let_32 (= tptp.multiplicative_identity _let_23))) (let ((_let_33 (= tptp.multiplicative_identity _let_16))) (let ((_let_34 (= (tptp.add _let_30 tptp.multiplicative_identity) (tptp.multiply _let_28 _let_21)))) (let ((_let_35 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_36 (tptp.add _let_35 _let_19))) (let ((_let_37 (= (tptp.multiply _let_15 tptp.additive_identity) _let_36))) (let ((_let_38 (= tptp.additive_identity _let_18))) (let ((_let_39 (tptp.multiply _let_19 tptp.a))) (let ((_let_40 (tptp.multiply _let_35 tptp.a))) (let ((_let_41 (= (tptp.multiply _let_36 tptp.a) (tptp.add _let_40 _let_39)))) (let ((_let_42 (= _let_35 (tptp.add _let_35 tptp.additive_identity)))) (let ((_let_43 (tptp.add tptp.additive_identity _let_39))) (let ((_let_44 (tptp.add tptp.a _let_39))) (let ((_let_45 (= (tptp.add _let_1 _let_39) (tptp.multiply _let_44 _let_43)))) (let ((_let_46 (tptp.add _let_40 tptp.additive_identity))) (let ((_let_47 (tptp.add _let_40 tptp.a))) (let ((_let_48 (tptp.multiply _let_47 _let_46))) (let ((_let_49 (= (tptp.add _let_40 _let_1) _let_48))) (let ((_let_50 (= _let_44 (tptp.add _let_39 tptp.a)))) (let ((_let_51 (= _let_46 (tptp.add tptp.additive_identity _let_40)))) (let ((_let_52 (tptp.add _let_40 tptp.multiplicative_identity))) (let ((_let_53 (= (tptp.add _let_40 _let_19) (tptp.multiply _let_52 _let_46)))) (let ((_let_54 (tptp.add tptp.multiplicative_identity tptp.a))) (let ((_let_55 (tptp.multiply _let_54 tptp.additive_identity))) (let ((_let_56 (= _let_55 (tptp.add _let_19 _let_1)))) (let ((_let_57 (tptp.multiply _let_47 tptp.additive_identity))) (let ((_let_58 (= _let_48 (tptp.add (tptp.multiply _let_47 _let_40) _let_57)))) (let ((_let_59 (= _let_40 _let_46))) (let ((_let_60 (tptp.add tptp.a tptp.multiplicative_identity))) (let ((_let_61 (= _let_54 _let_60))) (let ((_let_62 (= _let_52 (tptp.add tptp.multiplicative_identity _let_40)))) (let ((_let_63 (= _let_55 (tptp.multiply tptp.additive_identity _let_54)))) (let ((_let_64 (tptp.add _let_35 _let_39))) (let ((_let_65 (= _let_64 (tptp.multiply _let_43 _let_43)))) (let ((_let_66 (= (tptp.add _let_1 tptp.multiplicative_identity) (tptp.multiply _let_60 _let_15)))) (let ((_let_67 (= (tptp.add _let_40 (tptp.multiply tptp.multiplicative_identity _let_57)) (tptp.multiply _let_52 (tptp.add _let_40 _let_57))))) (let ((_let_68 (tptp.multiply _let_40 tptp.additive_identity))) (let ((_let_69 (= _let_57 (tptp.add _let_68 _let_1)))) (let ((_let_70 (tptp.multiply _let_39 tptp.additive_identity))) (let ((_let_71 (= (tptp.multiply _let_39 _let_43) (tptp.add _let_70 (tptp.multiply _let_39 _let_39))))) (let ((_let_72 (= _let_68 (tptp.multiply tptp.additive_identity _let_40)))) (let ((_let_73 (tptp.add tptp.multiplicative_identity _let_39))) (let ((_let_74 (tptp.multiply _let_73 tptp.additive_identity))) (let ((_let_75 (= _let_74 (tptp.multiply tptp.additive_identity _let_73)))) (let ((_let_76 (= (tptp.add _let_35 (tptp.multiply _let_19 _let_39)) (tptp.multiply _let_36 _let_64)))) (let ((_let_77 (tptp.multiply _let_44 tptp.additive_identity))) (let ((_let_78 (= (tptp.multiply _let_15 _let_77) (tptp.add (tptp.multiply tptp.additive_identity _let_77) (tptp.multiply tptp.multiplicative_identity _let_77))))) (let ((_let_79 (= _let_74 (tptp.add _let_19 _let_70)))) (let ((_let_80 (= _let_60 (tptp.multiply _let_60 tptp.multiplicative_identity)))) (let ((_let_81 (tptp.inverse _let_43))) (let ((_let_82 (tptp.add _let_81 _let_43))) (let ((_let_83 (= tptp.multiplicative_identity _let_82))) (let ((_let_84 (tptp.multiply _let_81 tptp.additive_identity))) (let ((_let_85 (= (tptp.add _let_84 _let_43) (tptp.multiply _let_82 (tptp.add tptp.additive_identity _let_43))))) (let ((_let_86 (= (tptp.multiply _let_82 tptp.additive_identity) (tptp.add _let_84 (tptp.multiply _let_43 tptp.additive_identity))))) (let ((_let_87 (SYMM (ASSUME :args (_let_2))))) (let ((_let_88 (_let_11))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 ((tptp.multiply X Y)))) (let ((_let_91 (_let_12))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_94 (_let_10))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_ENUM))) (let ((_let_97 (_let_9))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (_let_7))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (forall ((X $$unsorted)) (= tptp.multiplicative_identity (tptp.add (tptp.inverse X) X))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 (tptp.multiplicative_identity QUANTIFIERS_INST_ENUM))) (let ((_let_105 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.multiplicative_identity))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (_let_107))) (let ((_let_110 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (_let_110))) (let ((_let_113 ((tptp.add (tptp.multiply X Y) Z)))) (let ((_let_114 (_let_8))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 ((tptp.multiply (tptp.add X Y) Z)))) (let ((_let_117 ((tptp.multiply X tptp.multiplicative_identity)))) (let ((_let_118 ((tptp.add X tptp.additive_identity)))) (let ((_let_119 ((tptp.add X (tptp.multiply Y Z))))) (let ((_let_120 ((tptp.add X Y)))) (let ((_let_121 ((tptp.multiply X (tptp.add Y Z))))) (let ((_let_122 ((tptp.multiply (tptp.add X Y) (tptp.add X Z))))) (let ((_let_123 (not _let_13))) (let ((_let_124 (and _let_123 _let_14 _let_17 _let_20 _let_24 _let_25 _let_26 _let_29 _let_31 _let_32 _let_33 _let_34 _let_37 _let_38 _let_41 _let_42 _let_45 _let_49 _let_50 _let_51 _let_53 _let_56 _let_58 _let_59 _let_61 _let_62 _let_63 _let_65 _let_66 _let_67 _let_69 _let_71 _let_72 _let_75 _let_76 _let_78 _let_79 _let_80 _let_83 _let_85))) (let ((_let_125 (ASSUME :args (_let_14)))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (APPLY_UF tptp.multiply))) (let ((_let_128 (REFL :args (tptp.a)))) (let ((_let_129 (ASSUME :args (_let_38)))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (ASSUME :args (_let_20)))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (REFL :args (tptp.additive_identity)))) (let ((_let_135 (ASSUME :args (_let_33)))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (ASSUME :args (_let_17)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (TRANS _let_138 _let_136))) (let ((_let_140 (CONG _let_139 _let_134 :args _let_127))) (let ((_let_141 (ASSUME :args (_let_37)))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (APPLY_UF tptp.add))) (let ((_let_144 (TRANS _let_129 _let_132))) (let ((_let_145 (CONG (REFL :args (_let_35)) _let_144 :args _let_143))) (let ((_let_146 (ASSUME :args (_let_42)))) (let ((_let_147 (SYMM (SYMM _let_146)))) (let ((_let_148 (TRANS _let_147 _let_145 _let_142 _let_140 _let_133 _let_130))) (let ((_let_149 (CONG _let_148 _let_128 :args _let_127))) (let ((_let_150 (ASSUME :args (_let_59)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (SYMM _let_144))) (let ((_let_153 (REFL :args (_let_40)))) (let ((_let_154 (ASSUME :args (_let_53)))) (let ((_let_155 (SYMM _let_149))) (let ((_let_156 (TRANS _let_142 _let_140 _let_133 _let_130))) (let ((_let_157 (CONG _let_156 _let_128 :args _let_127))) (let ((_let_158 (ASSUME :args (_let_41)))) (let ((_let_159 (CONG _let_144 _let_128 :args _let_127))) (let ((_let_160 (TRANS _let_125 _let_159))) (let ((_let_161 (ASSUME :args (_let_49)))) (let ((_let_162 (ASSUME :args (_let_58)))) (let ((_let_163 (ASSUME :args (_let_51)))) (let ((_let_164 (SYMM _let_163))) (let ((_let_165 (SYMM _let_159))) (let ((_let_166 (TRANS _let_165 _let_155))) (let ((_let_167 (CONG _let_134 _let_166 :args _let_143))) (let ((_let_168 (TRANS _let_167 _let_164 _let_151))) (let ((_let_169 (ASSUME :args (_let_50)))) (let ((_let_170 (TRANS (SYMM (SYMM _let_169)) (CONG _let_166 _let_128 :args _let_143)))) (let ((_let_171 (ASSUME :args (_let_45)))) (let ((_let_172 (REFL :args (_let_39)))) (let ((_let_173 (CONG _let_128 _let_152 :args _let_127))) (let ((_let_174 (TRANS _let_147 _let_145 _let_142 _let_140))) (let ((_let_175 (CONG _let_128 _let_174 :args _let_127))) (let ((_let_176 (TRANS _let_175 _let_173 _let_125 _let_155))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (TRANS _let_177 (TRANS _let_175 _let_173)))) (let ((_let_179 (ASSUME :args (_let_67)))) (let ((_let_180 (CONG _let_170 _let_134 :args _let_127))) (let ((_let_181 (REFL :args (tptp.multiplicative_identity)))) (let ((_let_182 (CONG _let_152 _let_160 :args _let_143))) (let ((_let_183 (ASSUME :args (_let_56)))) (let ((_let_184 (SYMM (SYMM _let_183)))) (let ((_let_185 (ASSUME :args (_let_63)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (ASSUME :args (_let_61)))) (let ((_let_188 (ASSUME :args (_let_80)))) (let ((_let_189 (ASSUME :args (_let_66)))) (let ((_let_190 (ASSUME :args (_let_62)))) (let ((_let_191 (CONG _let_134 (TRANS (CONG _let_181 _let_166 :args _let_143) (SYMM _let_190) (CONG _let_178 _let_181 :args _let_143) (SYMM (SYMM _let_189)) (CONG (REFL :args (_let_60)) _let_139 :args _let_127) (SYMM _let_188) (SYMM _let_187)) :args _let_127))) (let ((_let_192 (ASSUME :args (_let_75)))) (let ((_let_193 (SYMM (SYMM _let_192)))) (let ((_let_194 (ASSUME :args (_let_79)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (SYMM _let_166))) (let ((_let_197 (CONG _let_196 _let_134 :args _let_127))) (let ((_let_198 (ASSUME :args (_let_72)))) (let ((_let_199 (CONG _let_134 _let_168 :args _let_127))) (let ((_let_200 (SYMM _let_167))) (let ((_let_201 (TRANS _let_165 _let_155 _let_150 _let_163 _let_200))) (let ((_let_202 (CONG _let_174 (TRANS (CONG _let_152 _let_201 :args _let_127) _let_199 (SYMM _let_198) _let_197) :args _let_143))) (let ((_let_203 (ASSUME :args (_let_76)))) (let ((_let_204 (SYMM _let_203))) (let ((_let_205 (CONG (SYMM _let_148) _let_172 :args _let_143))) (let ((_let_206 (CONG (SYMM _let_156) _let_205 :args _let_127))) (let ((_let_207 (ASSUME :args (_let_65)))) (let ((_let_208 (TRANS _let_163 _let_200))) (let ((_let_209 (CONG (SYMM _let_168) _let_208 :args _let_127))) (let ((_let_210 (ASSUME :args (_let_71)))) (let ((_let_211 (ASSUME :args (_let_69)))) (let ((_let_212 (TRANS _let_180 (SYMM (SYMM _let_211)) (CONG _let_197 (TRANS _let_125 _let_155 _let_150 _let_163 _let_200 _let_205 _let_207 (SYMM _let_209) (CONG _let_196 (TRANS _let_151 _let_149 _let_159) :args _let_127)) :args _let_143) (SYMM _let_210) (CONG _let_166 (SYMM _let_208) :args _let_127) _let_209 (SYMM _let_207) (SYMM _let_205)))) (let ((_let_213 (ASSUME :args (_let_78)))) (let ((_let_214 (ASSUME :args (_let_83)))) (let ((_let_215 (SYMM _let_214))) (let ((_let_216 (ASSUME :args (_let_85)))) (let ((_let_217 (ASSUME :args (_let_31)))) (let ((_let_218 (CONG (SYMM _let_217) _let_181 :args _let_143))) (let ((_let_219 (ASSUME :args (_let_34)))) (let ((_let_220 (ASSUME :args (_let_29)))) (let ((_let_221 (CONG (SYMM (SYMM _let_220)) (REFL :args (_let_21)) :args _let_127))) (let ((_let_222 (ASSUME :args (_let_26)))) (let ((_let_223 (SYMM _let_222))) (let ((_let_224 (ASSUME :args (_let_32)))) (let ((_let_225 (SYMM (SYMM _let_224)))) (let ((_let_226 (CONG (REFL :args (_let_23)) _let_225 :args _let_143))) (let ((_let_227 (ASSUME :args (_let_24)))) (let ((_let_228 (ASSUME :args (_let_25)))) (let ((_let_229 (CONG _let_181 _let_225 :args _let_143))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_124)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_216 _let_214 _let_188 _let_194 _let_203 _let_210 _let_211 _let_179 _let_224 _let_189 _let_220 _let_131 _let_222 _let_213 _let_228 _let_129 _let_192 _let_190 _let_171 _let_185 _let_217 _let_135 _let_137 _let_227 _let_169 _let_158 _let_198 _let_146 _let_161 _let_219 _let_125 _let_162 _let_163 _let_141 _let_183 _let_87 _let_150 _let_154 _let_187 _let_207) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS _let_215 _let_135 _let_137 (SYMM _let_218) _let_219 (SYMM _let_221) _let_223 (SYMM _let_226) _let_227 _let_228 (SYMM _let_229)) _let_134 :args _let_127) (CONG (TRANS _let_229 (SYMM _let_228) (SYMM _let_227) _let_226 (SYMM _let_223) _let_221 (SYMM _let_219) _let_218 _let_138 _let_136) _let_134 :args _let_127) _let_133 _let_130) (TRANS (CONG (REFL :args (_let_84)) (TRANS (CONG _let_168 _let_134 :args _let_127) _let_198 (SYMM _let_199) _let_206 _let_204 _let_202 _let_195 _let_193 _let_191 _let_186 _let_184 _let_182) :args _let_143) (SYMM (SYMM _let_216)) (CONG _let_215 (CONG _let_134 (SYMM _let_201) :args _let_143) :args _let_127) (CONG (SYMM _let_139) (SYMM _let_212) :args _let_127) (SYMM (SYMM _let_213)) (CONG (TRANS (TRANS (CONG _let_134 _let_212 :args _let_127) _let_206 _let_204 _let_202 _let_195 _let_193 _let_191 _let_186 _let_184 _let_182 _let_167 _let_164 _let_151 _let_149 _let_126 (SYMM _let_173) (SYMM _let_175)) _let_176) (CONG _let_181 _let_180 :args _let_127) :args _let_143) (SYMM (SYMM _let_179)) (CONG (REFL :args (_let_52)) (TRANS (CONG (TRANS _let_177 (TRANS _let_175 _let_173 _let_125 (SYMM _let_157) _let_158 (CONG _let_178 _let_172 :args _let_143) (SYMM (SYMM _let_171)) (CONG _let_170 _let_168 :args _let_127))) (REFL :args (_let_57)) :args _let_143) (SYMM _let_162) (SYMM _let_161) (CONG _let_153 _let_160 :args _let_143) (SYMM _let_158) _let_157 _let_155 _let_150) :args _let_127) (SYMM _let_154) (CONG _let_153 _let_152 :args _let_143) _let_151 _let_149 _let_126) :args (=)) (FALSE_INTRO _let_87))) :args (_let_85 _let_83 _let_80 _let_79 _let_76 _let_71 _let_69 _let_67 _let_32 _let_66 _let_29 _let_20 _let_26 _let_78 _let_25 _let_38 _let_75 _let_62 _let_45 _let_63 _let_31 _let_33 _let_17 _let_24 _let_50 _let_41 _let_72 _let_42 _let_49 _let_34 _let_14 _let_58 _let_51 _let_37 _let_56 _let_123 _let_59 _let_53 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((not _let_53))) (REFL :args ((not _let_56))) (REFL :args ((not _let_58))) (REFL :args ((not _let_59))) (REFL :args ((not _let_61))) (REFL :args ((not _let_62))) (REFL :args ((not _let_63))) (REFL :args ((not _let_65))) (REFL :args ((not _let_66))) (REFL :args ((not _let_67))) (REFL :args ((not _let_69))) (REFL :args ((not _let_71))) (REFL :args ((not _let_72))) (REFL :args ((not _let_75))) (REFL :args ((not _let_76))) (REFL :args ((not _let_78))) (REFL :args ((not _let_79))) (REFL :args ((not _let_80))) (REFL :args ((not _let_83))) (REFL :args ((not _let_85))) (REFL :args ((not _let_86))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_81 _let_43 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_114)) _let_115 :args (_let_86 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_81 tptp.additive_identity _let_43 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.add X Z) (tptp.add Y 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(MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.a tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_91))) _let_92 :args (_let_61 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_112)) _let_111 :args (_let_59 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_47 _let_40 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_99)) _let_100 :args (_let_58 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.multiplicative_identity tptp.a tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) :args _let_114)) _let_115 :args (_let_56 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_40 tptp.multiplicative_identity tptp.additive_identity 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args _let_104) :args _let_112)) _let_111 :args (_let_33 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_104) :args _let_109)) _let_108 :args (_let_32 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args _let_104) :args (_let_105))) _let_106 :args (_let_31 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_104) :args _let_103)) _let_102 :args (_let_29 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_100 :args _let_96) :args _let_99))) _let_100 :args (_let_26 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_96) :args _let_97))) _let_98 :args (_let_25 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args _let_96) :args _let_94)) _let_95 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_93) :args _let_88)) _let_89 :args (_let_20 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_93) :args _let_91)) _let_92 :args (_let_17 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.a tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88)) _let_89 :args (_let_14 false _let_11)) _let_87 :args (false false _let_86 false _let_85 false _let_83 false _let_80 false _let_79 false _let_78 false _let_76 false _let_75 false _let_72 false _let_71 false _let_69 false _let_67 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_59 false _let_58 false _let_56 false _let_53 false _let_51 false _let_50 false _let_49 false _let_45 false _let_42 false _let_41 false _let_38 false _let_37 false _let_34 false _let_33 false _let_32 false _let_31 false _let_29 false _let_26 false _let_25 false _let_24 false _let_20 false _let_17 false _let_14 true _let_13)) :args (_let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((X $$unsorted)) (= (tptp.add X (tptp.inverse X)) tptp.multiplicative_identity)) _let_6 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.additive_identity)) _let_5 _let_4 (forall ((X $$unsorted)) (= (tptp.multiply tptp.multiplicative_identity X) X)) _let_3 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)) _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.67/0.93 )
% 0.67/0.93 % SZS output end Proof for BOO006-2
% 0.67/0.94 % cvc5---1.0.5 exiting
% 0.67/0.94 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------