TSTP Solution File: BOO013-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : BOO013-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 0.74s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO013-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 07:59:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.NCKZQEckxW/cvc5---1.0.5_10252.p...
% 0.20/0.49 ------- get file name : TPTP file name is BOO013-2
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10252.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.74 % SZS status Unsatisfiable for BOO013-2
% 0.20/0.74 % SZS output start Proof for BOO013-2
% 0.20/0.75 (
% 0.20/0.75 (let ((_let_1 (= tptp.b tptp.c))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.multiply tptp.a tptp.c))) (let ((_let_4 (= _let_3 tptp.additive_identity))) (let ((_let_5 (tptp.multiply tptp.a tptp.b))) (let ((_let_6 (= _let_5 tptp.additive_identity))) (let ((_let_7 (tptp.add tptp.a tptp.c))) (let ((_let_8 (= _let_7 tptp.multiplicative_identity))) (let ((_let_9 (tptp.add tptp.a tptp.b))) (let ((_let_10 (= _let_9 tptp.multiplicative_identity))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.multiplicative_identity) X)))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.additive_identity)))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.add (tptp.inverse X) X) tptp.multiplicative_identity)))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.multiply Y Z)) (tptp.multiply (tptp.add X Y) (tptp.add X Z)))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.multiply X Y) Z) (tptp.multiply (tptp.add X Z) (tptp.add Y Z)))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y) (tptp.multiply Y X))))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_22 (= tptp.multiplicative_identity _let_9))) (let ((_let_23 (= tptp.multiplicative_identity _let_7))) (let ((_let_24 (= tptp.additive_identity _let_5))) (let ((_let_25 (= tptp.additive_identity _let_3))) (let ((_let_26 (tptp.add tptp.b tptp.a))) (let ((_let_27 (= _let_9 _let_26))) (let ((_let_28 (tptp.add tptp.c tptp.a))) (let ((_let_29 (= _let_7 _let_28))) (let ((_let_30 (tptp.multiply tptp.b tptp.a))) (let ((_let_31 (= _let_5 _let_30))) (let ((_let_32 (tptp.multiply tptp.c tptp.a))) (let ((_let_33 (= _let_3 _let_32))) (let ((_let_34 (tptp.add tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_35 (tptp.add tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_36 (= _let_35 _let_34))) (let ((_let_37 (tptp.multiply tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_38 (tptp.multiply tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_39 (= _let_38 _let_37))) (let ((_let_40 (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_41 (tptp.multiply _let_40 _let_40))) (let ((_let_42 (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_43 (= (tptp.add _let_42 tptp.multiplicative_identity) _let_41))) (let ((_let_44 (= _let_41 (tptp.add tptp.multiplicative_identity _let_42)))) (let ((_let_45 (= (tptp.add _let_42 _let_42) (tptp.multiply tptp.multiplicative_identity _let_40)))) (let ((_let_46 (tptp.inverse tptp.multiplicative_identity))) (let ((_let_47 (tptp.add _let_46 tptp.multiplicative_identity))) (let ((_let_48 (= tptp.multiplicative_identity _let_47))) (let ((_let_49 (tptp.multiply _let_46 tptp.multiplicative_identity))) (let ((_let_50 (= tptp.additive_identity _let_49))) (let ((_let_51 (= tptp.multiplicative_identity _let_42))) (let ((_let_52 (= tptp.multiplicative_identity _let_35))) (let ((_let_53 (= (tptp.add _let_49 tptp.multiplicative_identity) (tptp.multiply _let_47 _let_40)))) (let ((_let_54 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_55 (tptp.add _let_54 _let_38))) (let ((_let_56 (= (tptp.multiply _let_34 tptp.additive_identity) _let_55))) (let ((_let_57 (= tptp.additive_identity _let_37))) (let ((_let_58 (= _let_46 _let_49))) (let ((_let_59 (= _let_55 (tptp.add _let_38 _let_54)))) (let ((_let_60 (tptp.add tptp.multiplicative_identity tptp.a))) (let ((_let_61 (tptp.add tptp.multiplicative_identity tptp.c))) (let ((_let_62 (tptp.multiply _let_61 _let_60))) (let ((_let_63 (= (tptp.add tptp.multiplicative_identity _let_32) _let_62))) (let ((_let_64 (tptp.add _let_54 tptp.a))) (let ((_let_65 (tptp.add _let_54 tptp.c))) (let ((_let_66 (tptp.multiply _let_65 _let_64))) (let ((_let_67 (= (tptp.add _let_54 _let_32) _let_66))) (let ((_let_68 (= _let_54 (tptp.add _let_54 tptp.additive_identity)))) (let ((_let_69 (tptp.add tptp.a tptp.multiplicative_identity))) (let ((_let_70 (= _let_69 _let_60))) (let ((_let_71 (tptp.add tptp.c tptp.multiplicative_identity))) (let ((_let_72 (= _let_71 _let_61))) (let ((_let_73 (tptp.add tptp.a _let_54))) (let ((_let_74 (= _let_64 _let_73))) (let ((_let_75 (tptp.add tptp.c _let_54))) (let ((_let_76 (= _let_65 _let_75))) (let ((_let_77 (tptp.add tptp.additive_identity tptp.a))) (let ((_let_78 (tptp.multiply _let_77 _let_77))) (let ((_let_79 (= _let_64 _let_78))) (let ((_let_80 (= (tptp.add tptp.a _let_62) (tptp.multiply (tptp.add tptp.a _let_61) (tptp.add tptp.a _let_60))))) (let ((_let_81 (tptp.multiply tptp.a tptp.additive_identity))) (let ((_let_82 (tptp.multiply tptp.c tptp.additive_identity))) (let ((_let_83 (tptp.add _let_82 _let_81))) (let ((_let_84 (= (tptp.multiply _let_28 tptp.additive_identity) _let_83))) (let ((_let_85 (tptp.multiply tptp.c _let_60))) (let ((_let_86 (= _let_62 (tptp.add (tptp.multiply tptp.multiplicative_identity _let_60) _let_85)))) (let ((_let_87 (tptp.multiply tptp.c _let_64))) (let ((_let_88 (tptp.multiply _let_54 _let_64))) (let ((_let_89 (tptp.add _let_88 _let_87))) (let ((_let_90 (= _let_66 _let_89))) (let ((_let_91 (tptp.add _let_66 _let_66))) (let ((_let_92 (tptp.add _let_65 _let_65))) (let ((_let_93 (= (tptp.multiply _let_92 _let_64) _let_91))) (let ((_let_94 (tptp.multiply _let_40 tptp.a))) (let ((_let_95 (tptp.add (tptp.multiply _let_40 tptp.c) _let_94))) (let ((_let_96 (= (tptp.multiply _let_40 _let_28) _let_95))) (let ((_let_97 (tptp.multiply _let_61 tptp.a))) (let ((_let_98 (tptp.multiply _let_61 tptp.multiplicative_identity))) (let ((_let_99 (tptp.add _let_98 _let_97))) (let ((_let_100 (= _let_62 _let_99))) (let ((_let_101 (tptp.add _let_64 _let_64))) (let ((_let_102 (tptp.multiply _let_65 _let_101))) (let ((_let_103 (= _let_91 _let_102))) (let ((_let_104 (= tptp.a _let_77))) (let ((_let_105 (= tptp.c (tptp.add tptp.additive_identity tptp.c)))) (let ((_let_106 (= (tptp.add _let_60 tptp.multiplicative_identity) (tptp.add tptp.multiplicative_identity _let_60)))) (let ((_let_107 (= _let_89 (tptp.add _let_87 _let_88)))) (let ((_let_108 (= (tptp.multiply tptp.a _let_40) _let_94))) (let ((_let_109 (= (tptp.multiply tptp.multiplicative_identity _let_69) (tptp.multiply _let_69 tptp.multiplicative_identity)))) (let ((_let_110 (= _let_88 (tptp.multiply _let_64 _let_54)))) (let ((_let_111 (= _let_82 (tptp.multiply tptp.additive_identity tptp.c)))) (let ((_let_112 (= (tptp.multiply _let_71 tptp.a) (tptp.multiply tptp.a _let_71)))) (let ((_let_113 (= _let_83 (tptp.multiply (tptp.add tptp.c _let_81) (tptp.add tptp.additive_identity _let_81))))) (let ((_let_114 (= _let_89 (tptp.multiply (tptp.add _let_54 _let_87) (tptp.add _let_64 _let_87))))) (let ((_let_115 (= _let_95 (tptp.multiply (tptp.add _let_40 _let_94) (tptp.add tptp.c _let_94))))) (let ((_let_116 (tptp.multiply tptp.multiplicative_identity tptp.a))) (let ((_let_117 (= (tptp.add _let_116 tptp.multiplicative_identity) (tptp.multiply _let_40 _let_69)))) (let ((_let_118 (= (tptp.add _let_116 tptp.c) (tptp.multiply _let_61 _let_7)))) (let ((_let_119 (tptp.add tptp.c _let_65))) (let ((_let_120 (= (tptp.add tptp.c _let_102) (tptp.multiply _let_119 (tptp.add tptp.c _let_101))))) (let ((_let_121 (= (tptp.add tptp.a (tptp.multiply _let_54 tptp.c)) (tptp.multiply _let_73 _let_7)))) (let ((_let_122 (= (tptp.add tptp.c (tptp.multiply _let_54 tptp.a)) (tptp.multiply _let_75 _let_28)))) (let ((_let_123 (= (tptp.multiply _let_99 tptp.a) (tptp.add (tptp.multiply _let_98 tptp.a) (tptp.multiply _let_97 tptp.a))))) (let ((_let_124 (tptp.add _let_77 _let_92))) (let ((_let_125 (tptp.multiply _let_124 _let_77))) (let ((_let_126 (= _let_125 (tptp.add _let_78 (tptp.multiply _let_92 _let_77))))) (let ((_let_127 (tptp.add _let_77 tptp.b))) (let ((_let_128 (tptp.multiply (tptp.add _let_124 tptp.b) _let_127))) (let ((_let_129 (= (tptp.add _let_125 tptp.b) _let_128))) (let ((_let_130 (= (tptp.add (tptp.multiply tptp.c _let_40) _let_65) (tptp.multiply _let_119 (tptp.add _let_40 _let_65))))) (let ((_let_131 (= (tptp.add _let_5 tptp.b) (tptp.add tptp.b _let_5)))) (let ((_let_132 (tptp.add tptp.b tptp.c))) (let ((_let_133 (= (tptp.add tptp.c tptp.b) _let_132))) (let ((_let_134 (= _let_128 (tptp.add (tptp.multiply _let_124 _let_127) (tptp.multiply tptp.b _let_127))))) (let ((_let_135 (= tptp.b (tptp.multiply tptp.b tptp.multiplicative_identity)))) (let ((_let_136 (= tptp.b (tptp.add tptp.additive_identity tptp.b)))) (let ((_let_137 (= (tptp.add _let_30 tptp.c) (tptp.multiply _let_132 _let_7)))) (let ((_let_138 (= (tptp.add tptp.b _let_32) (tptp.multiply _let_132 _let_26)))) (let ((_let_139 (SYMM (ASSUME :args (_let_10))))) (let ((_let_140 (SYMM (ASSUME :args (_let_8))))) (let ((_let_141 (SYMM (ASSUME :args (_let_6))))) (let ((_let_142 (SYMM (ASSUME :args (_let_4))))) (let ((_let_143 (ASSUME :args (_let_2)))) (let ((_let_144 (_let_21))) (let ((_let_145 (ASSUME :args _let_144))) (let ((_let_146 ((tptp.add X Y)))) (let ((_let_147 (_let_20))) (let ((_let_148 (ASSUME :args _let_147))) (let ((_let_149 ((tptp.multiply X Y)))) (let ((_let_150 (tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_151 (_let_19))) (let ((_let_152 (ASSUME :args _let_151))) (let ((_let_153 (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_ENUM))) (let ((_let_154 (_let_18))) (let ((_let_155 (ASSUME :args _let_154))) (let ((_let_156 (_let_16))) (let ((_let_157 (ASSUME :args _let_156))) (let ((_let_158 (forall ((X $$unsorted)) (= tptp.multiplicative_identity (tptp.add (tptp.inverse X) X))))) (let ((_let_159 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_160 (tptp.multiplicative_identity QUANTIFIERS_INST_ENUM))) (let ((_let_161 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_162 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_163 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.multiplicative_identity))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (_let_163))) (let ((_let_166 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_167 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_168 (_let_166))) (let ((_let_169 ((tptp.add (tptp.multiply X Y) Z)))) (let ((_let_170 (_let_17))) (let ((_let_171 (ASSUME :args _let_170))) (let ((_let_172 ((tptp.multiply (tptp.add X Y) Z)))) (let ((_let_173 ((tptp.multiply X tptp.multiplicative_identity)))) (let ((_let_174 ((tptp.add X (tptp.multiply Y Z))))) (let ((_let_175 ((tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) (let ((_let_176 ((tptp.multiply X (tptp.add Y Z))))) (let ((_let_177 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_178 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_179 (_let_177))) (let ((_let_180 ((tptp.add tptp.additive_identity X)))) (let ((_let_181 ((tptp.multiply (tptp.add X Z) (tptp.add Y Z))))) (let ((_let_182 ((tptp.multiply (tptp.add X Y) (tptp.add X Z))))) (let ((_let_183 (and _let_2 _let_22 _let_23 _let_24 _let_25 _let_27 _let_29 _let_31 _let_33 _let_36 _let_39 _let_43 _let_44 _let_45 _let_48 _let_50 _let_51 _let_52 _let_53 _let_56 _let_57 _let_58 _let_59 _let_63 _let_67 _let_68 _let_70 _let_72 _let_74 _let_76 _let_79 _let_80 _let_84 _let_86 _let_90 _let_93 _let_96 _let_100 _let_103 _let_104 _let_105 _let_106 _let_107 _let_108 _let_109 _let_110 _let_111 _let_112 _let_113 _let_114 _let_115 _let_117 _let_118 _let_120 _let_121 _let_122 _let_123 _let_126 _let_129 _let_130 _let_131 _let_133 _let_134 _let_135 _let_136 _let_137))) (let ((_let_184 (ASSUME :args (_let_105)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (APPLY_UF tptp.add))) (let ((_let_187 (REFL :args (tptp.c)))) (let ((_let_188 (ASSUME :args (_let_57)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (ASSUME :args (_let_39)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (APPLY_UF tptp.multiply))) (let ((_let_194 (REFL :args (tptp.additive_identity)))) (let ((_let_195 (ASSUME :args (_let_52)))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 (ASSUME :args (_let_36)))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (CONG (TRANS _let_198 _let_196) _let_194 :args _let_193))) (let ((_let_200 (ASSUME :args (_let_56)))) (let ((_let_201 (SYMM _let_200))) (let ((_let_202 (TRANS _let_188 _let_191))) (let ((_let_203 (REFL :args (_let_54)))) (let ((_let_204 (CONG _let_203 _let_202 :args _let_186))) (let ((_let_205 (ASSUME :args (_let_68)))) (let ((_let_206 (SYMM _let_205))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (ASSUME :args (_let_50)))) (let ((_let_209 (SYMM _let_208))) (let ((_let_210 (ASSUME :args (_let_58)))) (let ((_let_211 (CONG _let_194 (TRANS (SYMM (SYMM _let_210)) _let_209) :args _let_193))) (let ((_let_212 (TRANS (SYMM _let_211) (TRANS _let_211 _let_207 _let_204 _let_201 _let_199 _let_192 _let_189)))) (let ((_let_213 (CONG _let_212 _let_187 :args _let_186))) (let 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(tptp.c _let_40 _let_65 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_151)) _let_152 :args (_let_130 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_124 _let_77 tptp.b QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_151)) _let_152 :args (_let_129 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_77 _let_92 _let_77 QUANTIFIERS_INST_E_MATCHING _let_175)) :args _let_170)) _let_171 :args (_let_126 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_98 _let_97 tptp.a QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_123 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.c _let_54 tptp.a QUANTIFIERS_INST_E_MATCHING _let_182)) :args _let_154)) _let_155 :args (_let_122 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.a _let_54 tptp.c QUANTIFIERS_INST_E_MATCHING _let_182)) :args _let_154)) _let_155 :args (_let_121 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.c _let_65 _let_101 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_154)) _let_155 :args (_let_120 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.multiplicative_identity tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING _let_181)) :args _let_151)) _let_152 :args (_let_118 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.multiplicative_identity tptp.a tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING _let_181)) :args _let_151)) _let_152 :args (_let_117 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_40 tptp.c _let_94 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_151)) _let_152 :args (_let_115 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_54 _let_64 _let_87 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_151)) _let_152 :args (_let_114 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.c tptp.additive_identity _let_81 QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_151)) _let_152 :args (_let_113 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_71 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_147)) _let_148 :args (_let_112 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.additive_identity tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_147))) _let_148 :args (_let_111 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_54 _let_64 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_147)) _let_148 :args (_let_110 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.multiplicative_identity _let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_147)) _let_148 :args (_let_109 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_40 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_147))) _let_148 :args (_let_108 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_88 _let_87 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_144)) _let_145 :args (_let_107 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.multiplicative_identity _let_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_144))) _let_145 :args (_let_106 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_178 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_180)) :args _let_179)) _let_178 :args (_let_105 false _let_177)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_178 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_180)) :args _let_179)) _let_178 :args (_let_104 false _let_177)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_65 _let_64 _let_64 QUANTIFIERS_INST_E_MATCHING ((tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) :args _let_156))) _let_157 :args (_let_103 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_61 tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_176)) :args _let_156)) _let_157 :args (_let_100 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_40 tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING _let_176)) :args _let_156)) _let_157 :args (_let_96 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_65 _let_65 _let_64 QUANTIFIERS_INST_E_MATCHING _let_175)) :args _let_170)) _let_171 :args (_let_93 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_54 tptp.c _let_64 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_90 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.multiplicative_identity tptp.c _let_60 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_86 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.c tptp.a tptp.additive_identity QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_84 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.a _let_61 _let_60 QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_154)) _let_155 :args (_let_80 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.additive_identity tptp.additive_identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_151)) _let_152 :args (_let_79 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_54 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_144)) _let_145 :args (_let_76 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_54 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_144)) _let_145 :args (_let_74 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.multiplicative_identity tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_144))) _let_145 :args (_let_72 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_144))) _let_145 :args (_let_70 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.add X tptp.additive_identity)))) :args _let_168)) _let_167 :args (_let_68 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_54 tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_154)) _let_155 :args (_let_67 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.multiplicative_identity tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING _let_174)) :args _let_154)) _let_155 :args (_let_63 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_54 _let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_144)) _let_145 :args (_let_59 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_173)) :args _let_165)) _let_164 :args (_let_58 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_173)) :args _let_165)) _let_164 :args (_let_57 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_56 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_46 tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING _let_169)) :args _let_151)) _let_152 :args (_let_53 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args _let_160) :args _let_168)) _let_167 :args (_let_52 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args _let_160) :args _let_165)) _let_164 :args (_let_51 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args _let_160) :args (_let_161))) _let_162 :args (_let_50 false _let_161)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args _let_160) :args (_let_158))) _let_159 :args (_let_48 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_157 :args _let_153) :args _let_156))) _let_157 :args (_let_45 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_155 :args _let_153) :args _let_154))) _let_155 :args (_let_44 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args _let_153) :args _let_151)) _let_152 :args (_let_43 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args _let_150) :args _let_147)) _let_148 :args (_let_39 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args _let_150) :args _let_144)) _let_145 :args (_let_36 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_147)) _let_148 :args (_let_33 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_147)) _let_148 :args (_let_31 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_144)) _let_145 :args (_let_29 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_144)) _let_145 :args (_let_27 false _let_21)) _let_143 _let_142 _let_141 _let_140 _let_139 :args (false false _let_138 false _let_137 false _let_136 false _let_135 false _let_134 false _let_133 false _let_131 false _let_130 false _let_129 false _let_126 false _let_123 false _let_122 false _let_121 false _let_120 false _let_118 false _let_117 false _let_115 false _let_114 false _let_113 false _let_112 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_105 false _let_104 false _let_103 false _let_100 false _let_96 false _let_93 false _let_90 false _let_86 false _let_84 false _let_80 false _let_79 false _let_76 false _let_74 false _let_72 false _let_70 false _let_68 false _let_67 false _let_63 false _let_59 false _let_58 false _let_57 false _let_56 false _let_53 false _let_52 false _let_51 false _let_50 false _let_48 false _let_45 false _let_44 false _let_43 false _let_39 false _let_36 false _let_33 false _let_31 false _let_29 false _let_27 true _let_1 false _let_25 false _let_24 false _let_23 false _let_22)) :args (_let_21 _let_20 _let_19 _let_18 _let_17 _let_16 (forall ((X $$unsorted)) (= (tptp.add X (tptp.inverse X)) tptp.multiplicative_identity)) _let_15 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.additive_identity)) _let_14 _let_13 (forall ((X $$unsorted)) (= (tptp.multiply tptp.multiplicative_identity X) X)) _let_12 _let_11 _let_10 _let_8 _let_6 _let_4 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.75 )
% 0.20/0.75 % SZS output end Proof for BOO013-2
% 0.20/0.76 % cvc5---1.0.5 exiting
% 0.20/0.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------