TSTP Solution File: KLE170+1.002 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE170+1.002 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 05:27:32 EDT 2023
% Result : Theorem 1.11s 1.30s
% Output : Proof 1.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE170+1.002 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n025.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 : Tue Aug 29 12:20:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 1.11/1.30 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.c9vo666eU2/cvc5---1.0.5_18964.p...
% 1.11/1.30 ------- get file name : TPTP file name is KLE170+1.002
% 1.11/1.30 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18964.smt2...
% 1.11/1.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.11/1.30 % SZS status Theorem for KLE170+1.002
% 1.11/1.30 % SZS output start Proof for KLE170+1.002
% 1.11/1.30 (
% 1.11/1.30 (let ((_let_1 (tptp.star tptp.a))) (let ((_let_2 (tptp.multiplication tptp.a tptp.a))) (let ((_let_3 (tptp.leq _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) B) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_13 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_15 (= _let_1 (tptp.addition _let_2 _let_1)))) (let ((_let_16 (tptp.multiplication _let_1 tptp.a))) (let ((_let_17 (tptp.addition _let_16 tptp.one))) (let ((_let_18 (tptp.addition tptp.one _let_16))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (tptp.addition _let_18 _let_1))) (let ((_let_21 (= _let_1 _let_20))) (let ((_let_22 (= _let_20 (tptp.addition _let_1 _let_18)))) (let ((_let_23 (tptp.addition _let_2 _let_18))) (let ((_let_24 (= (tptp.addition _let_2 _let_20) (tptp.addition _let_23 _let_1)))) (let ((_let_25 (tptp.addition _let_18 _let_18))) (let ((_let_26 (= (tptp.addition _let_18 _let_20) (tptp.addition _let_25 _let_1)))) (let ((_let_27 (tptp.addition _let_16 _let_1))) (let ((_let_28 (tptp.addition tptp.one _let_27))) (let ((_let_29 (= _let_20 _let_28))) (let ((_let_30 (tptp.multiplication _let_18 tptp.a))) (let ((_let_31 (tptp.addition _let_30 _let_16))) (let ((_let_32 (= (tptp.multiplication _let_20 tptp.a) _let_31))) (let ((_let_33 (tptp.addition tptp.one _let_30))) (let ((_let_34 (tptp.addition _let_33 _let_16))) (let ((_let_35 (= (tptp.addition tptp.one _let_31) _let_34))) (let ((_let_36 (tptp.addition _let_17 _let_27))) (let ((_let_37 (= (tptp.addition _let_16 _let_28) _let_36))) (let ((_let_38 (tptp.addition _let_25 tptp.one))) (let ((_let_39 (tptp.addition _let_38 _let_27))) (let ((_let_40 (= (tptp.addition _let_25 _let_28) _let_39))) (let ((_let_41 (tptp.addition _let_23 tptp.one))) (let ((_let_42 (tptp.addition _let_41 _let_27))) (let ((_let_43 (= (tptp.addition _let_23 _let_28) _let_42))) (let ((_let_44 (tptp.addition _let_30 _let_27))) (let ((_let_45 (= _let_44 (tptp.addition _let_31 _let_1)))) (let ((_let_46 (tptp.addition _let_16 _let_18))) (let ((_let_47 (= _let_25 (tptp.addition tptp.one _let_46)))) (let ((_let_48 (= _let_18 _let_25))) (let ((_let_49 (tptp.multiplication _let_1 tptp.one))) (let ((_let_50 (= _let_1 _let_49))) (let ((_let_51 (tptp.multiplication tptp.one _let_1))) (let ((_let_52 (= _let_1 _let_51))) (let ((_let_53 (tptp.multiplication _let_27 tptp.a))) (let ((_let_54 (tptp.multiplication tptp.one tptp.a))) (let ((_let_55 (tptp.addition _let_54 _let_53))) (let ((_let_56 (= (tptp.multiplication _let_28 tptp.a) _let_55))) (let ((_let_57 (tptp.multiplication _let_16 tptp.a))) (let ((_let_58 (tptp.addition _let_54 _let_57))) (let ((_let_59 (= _let_30 _let_58))) (let ((_let_60 (= _let_1 (tptp.addition _let_49 _let_1)))) (let ((_let_61 (= _let_38 (tptp.addition tptp.one _let_25)))) (let ((_let_62 (= _let_36 (tptp.addition _let_27 _let_17)))) (let ((_let_63 (= _let_46 (tptp.addition _let_18 _let_16)))) (let ((_let_64 (= _let_34 (tptp.addition _let_16 _let_33)))) (let ((_let_65 (= _let_39 (tptp.addition _let_27 _let_38)))) (let ((_let_66 (= _let_42 (tptp.addition _let_27 _let_41)))) (let ((_let_67 (tptp.addition tptp.one _let_54))) (let ((_let_68 (tptp.addition _let_67 _let_53))) (let ((_let_69 (= (tptp.addition tptp.one _let_55) _let_68))) (let ((_let_70 (tptp.addition (tptp.addition _let_41 _let_30) _let_27))) (let ((_let_71 (= (tptp.addition _let_41 _let_44) _let_70))) (let ((_let_72 (tptp.addition _let_67 _let_57))) (let ((_let_73 (= (tptp.addition tptp.one _let_58) _let_72))) (let ((_let_74 (= (tptp.addition _let_54 (tptp.addition _let_53 _let_18)) (tptp.addition _let_55 _let_18)))) (let ((_let_75 (= _let_41 (tptp.addition _let_2 (tptp.addition _let_18 tptp.one))))) (let ((_let_76 (= tptp.a (tptp.multiplication tptp.a tptp.one)))) (let ((_let_77 (tptp.multiplication _let_27 tptp.one))) (let ((_let_78 (= _let_27 _let_77))) (let ((_let_79 (= tptp.a _let_54))) (let ((_let_80 (tptp.multiplication _let_51 tptp.a))) (let ((_let_81 (tptp.addition _let_80 _let_16))) (let ((_let_82 (= (tptp.multiplication (tptp.addition _let_51 _let_1) tptp.a) _let_81))) (let ((_let_83 (tptp.multiplication _let_53 tptp.a))) (let ((_let_84 (tptp.multiplication _let_54 tptp.a))) (let ((_let_85 (tptp.addition _let_84 _let_83))) (let ((_let_86 (= (tptp.multiplication _let_55 tptp.a) _let_85))) (let ((_let_87 (= (tptp.multiplication _let_44 tptp.one) (tptp.addition (tptp.multiplication _let_30 tptp.one) _let_77)))) (let ((_let_88 (= _let_68 (tptp.addition _let_53 _let_67)))) (let ((_let_89 (= (tptp.addition _let_57 _let_17) (tptp.addition _let_17 _let_57)))) (let ((_let_90 (= (tptp.addition tptp.one _let_81) (tptp.addition (tptp.addition tptp.one _let_80) _let_16)))) (let ((_let_91 (= (tptp.addition _let_16 _let_72) (tptp.addition (tptp.addition _let_16 _let_67) _let_57)))) (let ((_let_92 (= (tptp.addition _let_84 (tptp.addition _let_83 _let_17)) (tptp.addition _let_85 _let_17)))) (let ((_let_93 (= _let_3 _let_15))) (let ((_let_94 (not _let_15))) (let ((_let_95 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (_let_95))) (let ((_let_98 ((tptp.leq A B)))) (let ((_let_99 (_let_14))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 ((tptp.addition A B)))) (let ((_let_102 (tptp.leq _let_18 _let_1))) (let ((_let_103 (= _let_102 _let_21))) (let ((_let_104 (_let_6))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (_let_13))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 ((tptp.addition A (tptp.addition B C))))) (let ((_let_109 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_110 (_let_9))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_113 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (_let_115))) (let ((_let_118 ((tptp.multiplication A tptp.one)))) (let ((_let_119 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (_let_119))) (let ((_let_122 ((tptp.multiplication tptp.one A)))) (let ((_let_123 (tptp.leq _let_49 _let_1))) (let ((_let_124 (= _let_123 _let_60))) (let ((_let_125 (tptp.multiplication tptp.a _let_1))) (let ((_let_126 (tptp.addition _let_125 tptp.one))) (let ((_let_127 (tptp.leq _let_126 _let_1))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_123))) (let ((_let_130 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A B) C) B)) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (tptp.addition tptp.one _let_125))) (let ((_let_133 (= _let_132 _let_126))) (let ((_let_134 (tptp.leq _let_132 _let_1))) (let ((_let_135 (_let_7))) (let ((_let_136 (ASSUME :args _let_135))) (let ((_let_137 (and _let_134 _let_133))) (let ((_let_138 (_let_134 _let_133))) (let ((_let_139 (ASSUME :args (_let_134)))) (let ((_let_140 (REFL :args (_let_1)))) (let ((_let_141 (ASSUME :args (_let_133)))) (let ((_let_142 (= _let_27 _let_70))) (let ((_let_143 (not _let_142))) (let ((_let_144 (ASSUME :args (_let_71)))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (APPLY_UF tptp.addition))) (let ((_let_147 (ASSUME :args (_let_45)))) (let ((_let_148 (SYMM (SYMM _let_147)))) (let ((_let_149 (ASSUME :args (_let_32)))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (APPLY_UF tptp.multiplication))) (let ((_let_152 (REFL :args (tptp.a)))) (let ((_let_153 (ASSUME :args (_let_21)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (TRANS (CONG (SYMM _let_154) _let_152 :args _let_151) (SYMM _let_150)))) (let ((_let_156 (TRANS (CONG _let_155 _let_140 :args _let_146) (SYMM _let_148)))) (let ((_let_157 (REFL :args (_let_41)))) (let ((_let_158 (ASSUME :args (_let_66)))) (let ((_let_159 (ASSUME :args (_let_78)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (REFL :args (tptp.one)))) (let ((_let_162 (CONG (SYMM _let_156) _let_161 :args _let_151))) (let ((_let_163 (ASSUME :args (_let_87)))) (let ((_let_164 (SYMM _let_163))) (let ((_let_165 (TRANS _let_164 _let_162 _let_160))) (let ((_let_166 (ASSUME :args (_let_75)))) (let ((_let_167 (ASSUME :args (_let_48)))) (let ((_let_168 (SYMM (SYMM _let_167)))) (let ((_let_169 (ASSUME :args (_let_61)))) (let ((_let_170 (SYMM _let_169))) (let ((_let_171 (ASSUME :args (_let_19)))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (CONG _let_161 (TRANS _let_172 _let_168) :args _let_146))) (let ((_let_174 (REFL :args (_let_2)))) (let ((_let_175 (ASSUME :args (_let_60)))) (let ((_let_176 (ASSUME :args (_let_50)))) (let ((_let_177 (ASSUME :args (_let_52)))) (let ((_let_178 (ASSUME :args (_let_82)))) (let ((_let_179 (ASSUME :args (_let_90)))) (let ((_let_180 (REFL :args (_let_16)))) (let ((_let_181 (ASSUME :args (_let_63)))) (let ((_let_182 (REFL :args (_let_18)))) (let ((_let_183 (ASSUME :args (_let_29)))) (let ((_let_184 (TRANS (SYMM _let_183) _let_154))) (let ((_let_185 (ASSUME :args (_let_56)))) (let ((_let_186 (TRANS (SYMM _let_185) (CONG _let_184 _let_152 :args _let_151)))) (let ((_let_187 (CONG _let_186 _let_182 :args _let_146))) (let ((_let_188 (ASSUME :args (_let_74)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (CONG _let_161 (TRANS (SYMM _let_189) _let_187 (SYMM (SYMM _let_181)) (CONG _let_171 _let_180 :args _let_146) (CONG (TRANS _let_172 (CONG _let_161 (CONG _let_177 _let_152 :args _let_151) :args _let_146)) _let_180 :args _let_146) (SYMM _let_179) (CONG _let_161 (TRANS (SYMM _let_178) (CONG (TRANS (CONG (TRANS (SYMM _let_177) (SYMM (SYMM _let_176))) _let_140 :args _let_146) (SYMM _let_175)) _let_152 :args _let_151)) :args _let_146) _let_171) :args _let_146))) (let ((_let_191 (CONG _let_161 (TRANS (SYMM _let_187) _let_189) :args _let_146))) (let ((_let_192 (ASSUME :args (_let_47)))) (let ((_let_193 (SYMM (SYMM _let_192)))) (let ((_let_194 (SYMM _let_165))) (let ((_let_195 (CONG _let_161 (SYMM _let_155) :args _let_146))) (let ((_let_196 (ASSUME :args (_let_35)))) (let ((_let_197 (ASSUME :args (_let_64)))) (let ((_let_198 (ASSUME :args (_let_59)))) (let ((_let_199 (ASSUME :args (_let_73)))) (let ((_let_200 (CONG _let_180 (TRANS (SYMM _let_199) (CONG _let_161 (SYMM _let_198) :args _let_146)) :args _let_146))) (let ((_let_201 (ASSUME :args (_let_91)))) (let ((_let_202 (ASSUME :args (_let_79)))) (let ((_let_203 (CONG _let_161 _let_202 :args _let_146))) (let ((_let_204 (ASSUME :args (_let_76)))) (let ((_let_205 (CONG _let_182 _let_154 :args _let_146))) (let ((_let_206 (ASSUME :args (_let_26)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (CONG (REFL :args (_let_25)) _let_184 :args _let_146))) (let ((_let_209 (ASSUME :args (_let_40)))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (ASSUME :args (_let_65)))) (let ((_let_212 (SYMM _let_211))) (let ((_let_213 (CONG _let_160 (REFL :args (_let_38)) :args _let_146))) (let ((_let_214 (CONG _let_159 (TRANS _let_168 _let_193 _let_191 _let_190 _let_173 _let_170) :args _let_146))) (let ((_let_215 (REFL :args (_let_27)))) (let ((_let_216 (CONG _let_215 _let_172 :args _let_146))) (let ((_let_217 (ASSUME :args (_let_62)))) (let ((_let_218 (SYMM (SYMM _let_217)))) (let ((_let_219 (ASSUME :args (_let_37)))) (let ((_let_220 (SYMM (SYMM _let_219)))) (let ((_let_221 (CONG _let_180 (SYMM _let_184) :args _let_146))) (let ((_let_222 (TRANS _let_194 (TRANS _let_164 _let_162 _let_160 _let_221 _let_220 _let_218 _let_216 _let_214 _let_213 _let_212 _let_210 _let_208 _let_207 _let_205 _let_154)))) (let ((_let_223 (SYMM _let_202))) (let ((_let_224 (CONG _let_215 _let_223 :args _let_151))) (let ((_let_225 (TRANS (SYMM _let_224) (TRANS _let_224 (CONG _let_215 _let_204 :args _let_151) (CONG _let_222 (SYMM _let_204) :args _let_151))))) (let ((_let_226 (ASSUME :args (_let_88)))) (let ((_let_227 (ASSUME :args (_let_69)))) (let ((_let_228 (SYMM _let_186))) (let ((_let_229 (CONG (TRANS _let_172 (TRANS (CONG _let_161 _let_228 :args _let_146) (SYMM (SYMM _let_227)) (SYMM (SYMM _let_226)) (CONG _let_225 (SYMM _let_203) :args _let_146) (CONG _let_180 _let_203 :args _let_146))) (REFL :args (_let_57)) :args _let_146))) (let ((_let_230 (ASSUME :args (_let_89)))) (let ((_let_231 (SYMM _let_230))) (let ((_let_232 (REFL :args (_let_17)))) (let ((_let_233 (ASSUME :args (_let_92)))) (let ((_let_234 (ASSUME :args (_let_86)))) (let ((_let_235 (ASSUME :args (_let_22)))) (let ((_let_236 (ASSUME :args (_let_94)))) (let ((_let_237 (ASSUME :args (_let_24)))) (let ((_let_238 (ASSUME :args (_let_43)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_236 _let_153 _let_206 _let_183 _let_209 _let_211 _let_159 _let_169 _let_167 _let_171 _let_175 _let_176 _let_177 _let_178 _let_179 _let_181 _let_185 _let_188 _let_192 _let_217 _let_219 _let_237 _let_238 _let_149 _let_147 _let_144) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_221 _let_220 _let_218 _let_216 _let_214 _let_213 _let_212 _let_210 _let_208 _let_207 _let_205 _let_154) (TRANS _let_145 (CONG _let_157 (TRANS _let_148 (CONG (TRANS _let_150 (CONG _let_154 _let_152 :args _let_151)) _let_140 :args _let_146)) :args _let_146) (SYMM _let_238) (CONG (REFL :args (_let_23)) _let_184 :args _let_146) (SYMM _let_237) (CONG _let_174 _let_154 :args _let_146)) :args (=)) (FALSE_INTRO _let_236))) :args (_let_94 _let_21 _let_26 _let_29 _let_40 _let_65 _let_78 _let_61 _let_48 _let_19 _let_60 _let_50 _let_52 _let_82 _let_90 _let_63 _let_56 _let_74 _let_47 _let_62 _let_37 _let_24 _let_43 _let_32 _let_45 _let_71))) (MODUS_PONENS (AND_INTRO _let_234 _let_219 _let_188 _let_176 _let_233 _let_201 _let_179 _let_185 _let_183 _let_177 _let_192 _let_199 _let_149 _let_204 _let_206 _let_166 _let_153 _let_175 _let_167 _let_235 _let_171 _let_144 _let_178 _let_147 _let_169 _let_198 _let_211 _let_217 _let_158 _let_209 _let_230 _let_202 _let_227 _let_196 _let_181 _let_197 _let_226 _let_159 _let_163) (SCOPE (TRANS _let_221 _let_220 _let_218 _let_216 _let_214 _let_213 _let_212 _let_210 _let_208 _let_207 _let_205 (SYMM (SYMM _let_235)) (CONG (SYMM _let_222) (TRANS (SYMM _let_195) _let_196 _let_197 (SYMM _let_200) _let_201 (SYMM _let_229) _let_231 (CONG (TRANS (CONG _let_228 _let_152 :args _let_151) (SYMM (SYMM _let_234))) _let_232 :args _let_146) (SYMM _let_233) (CONG (CONG _let_223 _let_152 :args _let_151) (TRANS (CONG (TRANS (CONG (REFL :args (_let_53)) _let_202 :args _let_151) (CONG _let_225 _let_223 :args _let_151)) _let_232 :args _let_146) (SYMM _let_231) _let_229 (SYMM _let_201) _let_200 (SYMM _let_197) (SYMM _let_196) _let_195) :args _let_146)) :args _let_146) (CONG _let_194 (TRANS (CONG _let_174 (TRANS _let_168 _let_193 _let_191 _let_190) :args _let_146) (CONG _let_174 (TRANS _let_173 _let_170 (CONG (SYMM _let_168) _let_161 :args _let_146)) :args _let_146) (SYMM _let_166)) :args _let_146) (CONG _let_165 _let_157 :args _let_146) (SYMM _let_158) (CONG _let_157 _let_156 :args _let_146) (SYMM _let_145)) :args (_let_86 _let_37 _let_74 _let_50 _let_92 _let_91 _let_90 _let_56 _let_29 _let_52 _let_47 _let_73 _let_32 _let_76 _let_26 _let_75 _let_21 _let_60 _let_48 _let_22 _let_19 _let_71 _let_82 _let_45 _let_61 _let_59 _let_65 _let_62 _let_66 _let_40 _let_89 _let_79 _let_69 _let_35 _let_63 _let_64 _let_88 _let_78 _let_87)))) :args (_let_94 _let_19 _let_21 _let_22 _let_24 _let_26 _let_29 _let_32 _let_35 _let_37 _let_40 _let_43 _let_45 _let_47 _let_48 _let_50 _let_52 _let_56 _let_59 _let_60 _let_61 _let_62 _let_63 _let_64 _let_65 _let_66 _let_69 _let_71 _let_73 _let_74 _let_75 _let_76 _let_78 _let_79 _let_82 _let_86 _let_87 _let_88 _let_89 _let_90 _let_91 _let_92)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_143)))) (TRUE_INTRO (ASSUME :args (_let_142))))) :args (_let_143 _let_142)) :args ((not (and _let_94 _let_19 _let_21 _let_22 _let_24 _let_26 _let_29 _let_32 _let_35 _let_37 _let_40 _let_43 _let_45 _let_47 _let_48 _let_50 _let_52 _let_56 _let_59 _let_60 _let_61 _let_62 _let_63 _let_64 _let_65 _let_66 _let_69 _let_71 _let_73 _let_74 _let_75 _let_76 _let_78 _let_79 _let_82 _let_86 _let_87 _let_88 _let_89 _let_90 _let_91 _let_92)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_15))) (REFL :args ((not _let_19))) (REFL :args ((not _let_21))) (REFL :args ((not _let_22))) (REFL :args ((not _let_24))) (REFL :args ((not _let_26))) (REFL :args ((not _let_29))) (REFL :args ((not _let_32))) (REFL :args ((not _let_35))) (REFL :args ((not _let_37))) (REFL :args ((not _let_40))) (REFL :args ((not _let_43))) (REFL :args ((not _let_45))) (REFL :args ((not _let_47))) (REFL :args ((not _let_48))) (REFL :args ((not _let_50))) (REFL :args ((not _let_52))) (REFL :args ((not _let_56))) (REFL :args ((not _let_59))) (REFL :args ((not _let_60))) (REFL :args ((not _let_61))) (REFL :args ((not _let_62))) (REFL :args ((not _let_63))) (REFL :args ((not _let_64))) (REFL :args ((not _let_65))) (REFL :args ((not _let_66))) (REFL :args ((not _let_69))) (REFL :args ((not _let_71))) (REFL :args ((not _let_73))) (REFL :args ((not _let_74))) (REFL :args ((not _let_75))) (REFL :args ((not _let_76))) (REFL :args ((not _let_78))) (REFL :args ((not _let_79))) (REFL :args ((not _let_82))) (REFL :args ((not _let_86))) (REFL :args ((not _let_87))) (REFL :args ((not _let_88))) (REFL :args ((not _let_89))) (REFL :args ((not _let_90))) (REFL :args ((not _let_91))) (REFL :args ((not _let_92))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_17 _let_83 _let_84 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106)) _let_107 :args (_let_92 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_57 _let_67 _let_16 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_91 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_16 _let_80 tptp.one QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_90 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_57 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_89 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_67 _let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_88 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_30 _let_27 tptp.one QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_110)) _let_111 :args (_let_87 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_54 _let_53 tptp.a QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_110)) _let_111 :args (_let_86 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_51 _let_1 tptp.a QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_110)) _let_111 :args (_let_82 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_79 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_117)) _let_116 :args (_let_78 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_117)) _let_116 :args (_let_76 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.one _let_18 _let_2 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106))) _let_107 :args (_let_75 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_18 _let_53 _let_54 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106)) _let_107 :args (_let_74 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_57 _let_54 tptp.one QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_73 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_27 _let_30 _let_41 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_71 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_53 _let_54 tptp.one QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_69 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_41 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_66 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_38 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_65 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_33 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_64 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_16 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_63 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_17 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_62 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_25 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_61 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_124)) :args ((or (not _let_123) _let_60 (not _let_124)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_128 _let_123 (not _let_129)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_139 _let_141) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_141) _let_140 :args (APPLY_UF tptp.leq)) (TRUE_INTRO _let_139))) :args _let_138)) :args _let_138)) :args (true _let_137)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_135)) _let_136 :args (_let_134 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.one _let_125 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_133 false _let_14)) :args (_let_127 false _let_134 false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.a _let_1 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) C)))) :args (_let_130))) _let_131 :args (_let_129 false _let_130)) :args (_let_123 false _let_127 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_49 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_97)) _let_96 :args (_let_124 false _let_95)) :args (_let_60 false _let_123 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.one _let_16 tptp.a QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_110)) _let_111 :args (_let_59 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.one _let_27 tptp.a QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_110)) _let_111 :args (_let_56 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_52 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_117)) _let_116 :args (_let_50 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_113))) _let_114 :args (_let_48 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_18 _let_16 tptp.one QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106))) _let_107 :args (_let_47 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_1 _let_16 _let_30 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106)) _let_107 :args (_let_45 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_27 tptp.one _let_23 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_43 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_27 tptp.one _let_25 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_40 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_27 tptp.one _let_16 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_37 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_16 _let_30 tptp.one QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_35 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_18 _let_1 tptp.a QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_110)) _let_111 :args (_let_32 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_1 _let_16 tptp.one QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_106))) _let_107 :args (_let_29 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_1 _let_18 _let_18 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_26 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_1 _let_18 _let_2 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_24 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_18 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_22 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_103)) :args ((or (not _let_102) _let_21 (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_104)) _let_105 :args (_let_102 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_18 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_97)) _let_96 :args (_let_103 false _let_95)) :args (_let_21 false _let_102 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.one _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_19 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_93)) :args ((or _let_3 _let_94 (not _let_93)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_97)) _let_96 :args (_let_93 false _let_95)) :args (_let_94 true _let_3 false _let_93)) :args (false false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_87 false _let_86 false _let_82 false _let_79 false _let_78 false _let_76 false _let_75 false _let_74 false _let_73 false _let_71 false _let_69 false _let_66 false _let_65 false _let_64 false _let_63 false _let_62 false _let_61 false _let_60 false _let_59 false _let_56 false _let_52 false _let_50 false _let_48 false _let_47 false _let_45 false _let_43 false _let_40 false _let_37 false _let_35 false _let_32 false _let_29 false _let_26 false _let_24 false _let_22 false _let_21 false _let_19 true _let_15)) :args (_let_14 _let_13 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) A) (tptp.leq (tptp.multiplication C (tptp.star B)) A))) _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.11/1.31 )
% 1.11/1.31 % SZS output end Proof for KLE170+1.002
% 1.11/1.31 % cvc5---1.0.5 exiting
% 1.11/1.31 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------