TSTP Solution File: KLE079+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE079+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 05:27:11 EDT 2023
% Result : Theorem 5.32s 5.51s
% Output : Proof 5.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE079+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.15/0.34 % Computer : n020.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Aug 29 11:17:28 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 5.32/5.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.BLJgeEShS7/cvc5---1.0.5_28860.p...
% 5.32/5.51 ------- get file name : TPTP file name is KLE079+1
% 5.32/5.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28860.smt2...
% 5.32/5.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.32/5.51 % SZS status Theorem for KLE079+1
% 5.32/5.51 % SZS output start Proof for KLE079+1
% 5.32/5.51 (
% 5.32/5.51 (let ((_let_1 (not (forall ((X0 $$unsorted)) (=> (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.antidomain X1))) (let ((_let_2 (tptp.domain X1))) (and (= (tptp.addition _let_2 _let_1) tptp.one) (= (tptp.multiplication _let_2 _let_1) tptp.zero))))) (= (tptp.multiplication (tptp.antidomain X0) (tptp.domain X0)) tptp.zero)))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))))) (let ((_let_3 (tptp.domain tptp.zero))) (let ((_let_4 (= _let_3 tptp.zero))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_6 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_7 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_17 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_19 (= tptp.zero _let_3))) (let ((_let_20 (tptp.multiplication _let_3 tptp.zero))) (let ((_let_21 (= _let_20 (tptp.addition tptp.zero _let_20)))) (let ((_let_22 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.multiplication _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= _let_23 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23)))) (let ((_let_25 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (tptp.multiplication _let_25 _let_22))) (let ((_let_27 (tptp.domain _let_26))) (let ((_let_28 (tptp.multiplication _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (tptp.domain _let_28))) (let ((_let_30 (= _let_29 _let_27))) (let ((_let_31 (tptp.addition _let_22 tptp.one))) (let ((_let_32 (= tptp.one _let_31))) (let ((_let_33 (tptp.antidomain tptp.zero))) (let ((_let_34 (tptp.addition _let_3 _let_33))) (let ((_let_35 (= tptp.one _let_34))) (let ((_let_36 (= tptp.zero (tptp.multiplication _let_3 _let_33)))) (let ((_let_37 (tptp.multiplication _let_22 _let_25))) (let ((_let_38 (= tptp.zero _let_37))) (let ((_let_39 (= _let_34 (tptp.addition _let_33 _let_3)))) (let ((_let_40 (= _let_31 (tptp.addition tptp.one _let_22)))) (let ((_let_41 (tptp.multiplication _let_3 _let_22))) (let ((_let_42 (= (tptp.multiplication _let_3 _let_37) (tptp.multiplication _let_41 _let_25)))) (let ((_let_43 (tptp.multiplication _let_25 tptp.zero))) (let ((_let_44 (= (tptp.multiplication _let_22 _let_43) (tptp.multiplication _let_37 tptp.zero)))) (let ((_let_45 (tptp.multiplication _let_25 _let_33))) (let ((_let_46 (= (tptp.multiplication _let_22 _let_45) (tptp.multiplication _let_37 _let_33)))) (let ((_let_47 (= tptp.zero _let_20))) (let ((_let_48 (tptp.multiplication _let_27 _let_26))) (let ((_let_49 (tptp.addition _let_26 _let_48))) (let ((_let_50 (= _let_48 _let_49))) (let ((_let_51 (tptp.multiplication _let_29 _let_28))) (let ((_let_52 (tptp.addition _let_28 _let_51))) (let ((_let_53 (= _let_51 _let_52))) (let ((_let_54 (tptp.addition _let_27 tptp.one))) (let ((_let_55 (= tptp.one _let_54))) (let ((_let_56 (tptp.antidomain _let_28))) (let ((_let_57 (tptp.addition _let_29 _let_56))) (let ((_let_58 (= tptp.one _let_57))) (let ((_let_59 (tptp.multiplication _let_29 _let_56))) (let ((_let_60 (= tptp.zero _let_59))) (let ((_let_61 (= _let_49 (tptp.addition _let_48 _let_26)))) (let ((_let_62 (tptp.addition _let_22 _let_3))) (let ((_let_63 (tptp.addition _let_3 _let_22))) (let ((_let_64 (= _let_63 _let_62))) (let ((_let_65 (= _let_52 (tptp.addition _let_51 _let_28)))) (let ((_let_66 (= _let_54 (tptp.addition tptp.one _let_27)))) (let ((_let_67 (tptp.addition _let_56 _let_22))) (let ((_let_68 (tptp.addition _let_29 _let_67))) (let ((_let_69 (= _let_68 (tptp.addition _let_57 _let_22)))) (let ((_let_70 (tptp.addition _let_33 tptp.zero))) (let ((_let_71 (= _let_33 _let_70))) (let ((_let_72 (tptp.addition _let_22 _let_22))) (let ((_let_73 (= _let_22 _let_72))) (let ((_let_74 (tptp.multiplication _let_27 _let_25))) (let ((_let_75 (tptp.multiplication _let_74 _let_22))) (let ((_let_76 (= _let_48 _let_75))) (let ((_let_77 (tptp.multiplication _let_29 _let_25))) (let ((_let_78 (tptp.multiplication _let_77 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_79 (= _let_51 _let_78))) (let ((_let_80 (tptp.addition _let_29 _let_29))) (let ((_let_81 (= (tptp.addition _let_59 _let_59) (tptp.multiplication _let_80 _let_56)))) (let ((_let_82 (= tptp.zero _let_43))) (let ((_let_83 (= tptp.zero (tptp.multiplication tptp.zero _let_22)))) (let ((_let_84 (tptp.multiplication _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_85 (tptp.domain _let_84))) (let ((_let_86 (= _let_85 (tptp.domain _let_41)))) (let ((_let_87 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_88 (tptp.domain _let_87))) (let ((_let_89 (= _let_63 _let_88))) (let ((_let_90 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_91 (= _let_87 _let_90))) (let ((_let_92 (tptp.addition _let_29 _let_3))) (let ((_let_93 (tptp.addition _let_3 _let_29))) (let ((_let_94 (= _let_93 _let_92))) (let ((_let_95 (= _let_68 (tptp.addition _let_67 _let_29)))) (let ((_let_96 (tptp.addition _let_29 _let_22))) (let ((_let_97 (tptp.addition _let_22 _let_29))) (let ((_let_98 (= _let_97 _let_96))) (let ((_let_99 (= _let_22 (tptp.addition _let_22 tptp.zero)))) (let ((_let_100 (tptp.addition _let_26 _let_26))) (let ((_let_101 (= _let_26 _let_100))) (let ((_let_102 (tptp.addition _let_28 _let_28))) (let ((_let_103 (= _let_28 _let_102))) (let ((_let_104 (= _let_29 _let_80))) (let ((_let_105 (= _let_25 (tptp.multiplication _let_25 tptp.one)))) (let ((_let_106 (tptp.multiplication _let_25 _let_67))) (let ((_let_107 (tptp.multiplication _let_25 _let_29))) (let ((_let_108 (tptp.addition _let_107 _let_106))) (let ((_let_109 (= (tptp.multiplication _let_25 _let_68) _let_108))) (let ((_let_110 (tptp.addition _let_25 _let_25))) (let ((_let_111 (tptp.multiplication _let_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_112 (= _let_102 _let_111))) (let ((_let_113 (tptp.multiplication _let_110 _let_22))) (let ((_let_114 (= _let_100 _let_113))) (let ((_let_115 (tptp.addition _let_77 _let_25))) (let ((_let_116 (tptp.multiplication _let_115 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_117 (= _let_116 (tptp.addition _let_78 _let_28)))) (let ((_let_118 (tptp.addition _let_74 _let_25))) (let ((_let_119 (tptp.multiplication _let_118 _let_22))) (let ((_let_120 (= _let_119 (tptp.addition _let_75 _let_26)))) (let ((_let_121 (= tptp.zero (tptp.multiplication tptp.zero _let_29)))) (let ((_let_122 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_123 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28))) (let ((_let_124 (tptp.domain _let_123))) (let ((_let_125 (= _let_97 _let_124))) (let ((_let_126 (tptp.addition _let_84 _let_28))) (let ((_let_127 (= (tptp.domain _let_126) (tptp.addition _let_85 _let_29)))) (let ((_let_128 (tptp.antidomain _let_87))) (let ((_let_129 (tptp.addition _let_88 _let_128))) (let ((_let_130 (= tptp.one _let_129))) (let ((_let_131 (tptp.multiplication _let_88 _let_128))) (let ((_let_132 (= tptp.zero _let_131))) (let ((_let_133 (= _let_123 (tptp.addition _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_134 (= _let_126 (tptp.addition _let_28 _let_84)))) (let ((_let_135 (= (tptp.addition _let_25 _let_74) _let_118))) (let ((_let_136 (= _let_108 (tptp.addition _let_106 _let_107)))) (let ((_let_137 (tptp.addition _let_27 _let_88))) (let ((_let_138 (tptp.addition _let_137 _let_128))) (let ((_let_139 (= (tptp.addition _let_27 _let_129) _let_138))) (let ((_let_140 (= (tptp.addition _let_22 _let_80) (tptp.addition _let_97 _let_29)))) (let ((_let_141 (tptp.addition _let_123 _let_28))) (let ((_let_142 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_102) _let_141))) (let ((_let_143 (tptp.addition _let_25 _let_107))) (let ((_let_144 (tptp.addition _let_143 _let_106))) (let ((_let_145 (= (tptp.addition _let_25 _let_108) _let_144))) (let ((_let_146 (= (tptp.addition _let_22 _let_93) (tptp.addition _let_62 _let_29)))) (let ((_let_147 (tptp.addition _let_106 _let_77))) (let ((_let_148 (tptp.addition _let_107 _let_147))) (let ((_let_149 (= _let_148 (tptp.addition _let_108 _let_77)))) (let ((_let_150 (= (tptp.addition _let_29 _let_96) (tptp.addition _let_80 _let_22)))) (let ((_let_151 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_90))) (let ((_let_152 (= _let_29 (tptp.addition _let_29 tptp.zero)))) (let ((_let_153 (= _let_25 (tptp.addition _let_25 tptp.zero)))) (let ((_let_154 (= _let_25 _let_110))) (let ((_let_155 (tptp.multiplication _let_77 _let_33))) (let ((_let_156 (= (tptp.multiplication _let_29 _let_45) _let_155))) (let ((_let_157 (= (tptp.multiplication _let_3 _let_111) (tptp.multiplication (tptp.multiplication _let_3 _let_110) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_158 (tptp.multiplication _let_33 _let_22))) (let ((_let_159 (tptp.multiplication _let_25 _let_158))) (let ((_let_160 (= _let_159 (tptp.multiplication _let_45 _let_22)))) (let ((_let_161 (tptp.multiplication _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_162 (tptp.multiplication _let_25 _let_161))) (let ((_let_163 (= _let_162 (tptp.multiplication _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_164 (= (tptp.multiplication _let_88 (tptp.multiplication _let_128 _let_22)) (tptp.multiplication _let_131 _let_22)))) (let ((_let_165 (= (tptp.multiplication _let_88 (tptp.multiplication _let_128 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.multiplication _let_131 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_166 (tptp.multiplication _let_33 _let_29))) (let ((_let_167 (tptp.multiplication _let_25 _let_166))) (let ((_let_168 (= _let_167 (tptp.multiplication _let_45 _let_29)))) (let ((_let_169 (= _let_22 (tptp.multiplication _let_22 tptp.one)))) (let ((_let_170 (= (tptp.multiplication _let_25 _let_80) (tptp.addition _let_107 _let_107)))) (let ((_let_171 (tptp.multiplication _let_22 _let_22))) (let ((_let_172 (= (tptp.multiplication _let_22 _let_72) (tptp.addition _let_171 _let_171)))) (let ((_let_173 (tptp.multiplication _let_22 _let_128))) (let ((_let_174 (tptp.multiplication _let_22 _let_88))) (let ((_let_175 (tptp.addition _let_174 _let_173))) (let ((_let_176 (= (tptp.multiplication _let_22 _let_129) _let_175))) (let ((_let_177 (= (tptp.multiplication _let_25 _let_87) (tptp.addition _let_43 _let_28)))) (let ((_let_178 (tptp.addition _let_33 _let_33))) (let ((_let_179 (tptp.multiplication _let_25 _let_178))) (let ((_let_180 (= _let_179 (tptp.addition _let_45 _let_45)))) (let ((_let_181 (tptp.multiplication _let_106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_182 (tptp.multiplication _let_107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_183 (tptp.addition _let_182 _let_181))) (let ((_let_184 (= (tptp.multiplication _let_108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_183))) (let ((_let_185 (tptp.multiplication _let_106 _let_33))) (let ((_let_186 (tptp.multiplication _let_107 _let_33))) (let ((_let_187 (tptp.addition _let_186 _let_185))) (let ((_let_188 (= (tptp.multiplication _let_108 _let_33) _let_187))) (let ((_let_189 (tptp.multiplication _let_106 _let_29))) (let ((_let_190 (tptp.multiplication _let_107 _let_29))) (let ((_let_191 (tptp.addition _let_190 _let_189))) (let ((_let_192 (= (tptp.multiplication _let_108 _let_29) _let_191))) (let ((_let_193 (= (tptp.multiplication (tptp.addition _let_115 _let_110) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_116 _let_111)))) (let ((_let_194 (tptp.addition _let_118 _let_110))) (let ((_let_195 (= (tptp.multiplication _let_194 _let_22) (tptp.addition _let_119 _let_113)))) (let ((_let_196 (= (tptp.domain _let_23) (tptp.domain _let_171)))) (let ((_let_197 (tptp.multiplication _let_22 _let_29))) (let ((_let_198 (tptp.domain _let_197))) (let ((_let_199 (= (tptp.domain (tptp.multiplication _let_22 _let_28)) _let_198))) (let ((_let_200 (tptp.addition _let_124 tptp.one))) (let ((_let_201 (= tptp.one _let_200))) (let ((_let_202 (tptp.addition _let_28 _let_26))) (let ((_let_203 (tptp.domain _let_202))) (let ((_let_204 (= _let_203 (tptp.addition _let_29 _let_27)))) (let ((_let_205 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_26))) (let ((_let_206 (tptp.domain _let_205))) (let ((_let_207 (= (tptp.addition _let_22 _let_27) _let_206))) (let ((_let_208 (tptp.antidomain _let_123))) (let ((_let_209 (tptp.addition _let_124 _let_208))) (let ((_let_210 (= tptp.one _let_209))) (let ((_let_211 (= _let_200 (tptp.addition tptp.one _let_124)))) (let ((_let_212 (= _let_138 (tptp.addition _let_128 _let_137)))) (let ((_let_213 (tptp.addition _let_110 _let_118))) (let ((_let_214 (= _let_213 _let_194))) (let ((_let_215 (= _let_144 (tptp.addition _let_106 _let_143)))) (let ((_let_216 (= _let_141 (tptp.addition _let_28 _let_123)))) (let ((_let_217 (tptp.multiplication _let_3 _let_28))) (let ((_let_218 (tptp.addition _let_181 _let_217))) (let ((_let_219 (tptp.addition _let_182 _let_218))) (let ((_let_220 (= _let_219 (tptp.addition _let_183 _let_217)))) (let ((_let_221 (tptp.addition _let_181 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_222 (tptp.addition _let_182 _let_221))) (let ((_let_223 (= _let_222 (tptp.addition _let_183 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_224 (tptp.addition _let_147 _let_115))) (let ((_let_225 (tptp.addition _let_107 _let_224))) (let ((_let_226 (= _let_225 (tptp.addition _let_148 _let_115)))) (let ((_let_227 (tptp.addition _let_185 _let_115))) (let ((_let_228 (tptp.addition _let_186 _let_227))) (let ((_let_229 (= _let_228 (tptp.addition _let_187 _let_115)))) (let ((_let_230 (= _let_174 (tptp.addition _let_174 tptp.zero)))) (let ((_let_231 (= _let_33 _let_178))) (let ((_let_232 (= _let_115 (tptp.addition _let_115 _let_115)))) (let ((_let_233 (= (tptp.multiplication _let_3 _let_159) (tptp.multiplication (tptp.multiplication _let_3 _let_25) _let_158)))) (let ((_let_234 (= (tptp.multiplication _let_88 _let_159) (tptp.multiplication (tptp.multiplication _let_88 _let_25) _let_158)))) (let ((_let_235 (tptp.multiplication _let_166 _let_29))) (let ((_let_236 (tptp.multiplication _let_25 _let_235))) (let ((_let_237 (= _let_236 (tptp.multiplication _let_167 _let_29)))) (let ((_let_238 (tptp.multiplication _let_166 _let_33))) (let ((_let_239 (tptp.multiplication _let_25 _let_238))) (let ((_let_240 (= _let_239 (tptp.multiplication _let_167 _let_33)))) (let ((_let_241 (tptp.multiplication _let_22 _let_33))) (let ((_let_242 (tptp.multiplication _let_128 _let_241))) (let ((_let_243 (= (tptp.multiplication _let_22 (tptp.multiplication _let_33 _let_242)) (tptp.multiplication _let_241 _let_242)))) (let ((_let_244 (= _let_70 (tptp.multiplication _let_70 tptp.one)))) (let ((_let_245 (= _let_106 (tptp.multiplication _let_106 tptp.one)))) (let ((_let_246 (= _let_107 (tptp.multiplication _let_107 tptp.one)))) (let ((_let_247 (= _let_22 (tptp.multiplication tptp.one _let_22)))) (let ((_let_248 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_249 (= _let_29 (tptp.multiplication tptp.one _let_29)))) (let ((_let_250 (= _let_25 (tptp.multiplication tptp.one _let_25)))) (let ((_let_251 (= (tptp.multiplication _let_22 _let_92) (tptp.addition _let_197 (tptp.multiplication _let_22 _let_3))))) (let ((_let_252 (= (tptp.multiplication _let_194 _let_175) (tptp.addition (tptp.multiplication _let_194 _let_174) (tptp.multiplication _let_194 _let_173))))) (let ((_let_253 (tptp.addition _let_161 _let_158))) (let ((_let_254 (tptp.multiplication _let_25 _let_253))) (let ((_let_255 (= _let_254 (tptp.addition _let_162 _let_159)))) (let ((_let_256 (= (tptp.multiplication _let_22 (tptp.addition _let_22 _let_242)) (tptp.addition _let_171 (tptp.multiplication _let_22 _let_242))))) (let ((_let_257 (= (tptp.multiplication _let_25 (tptp.addition _let_178 _let_166)) (tptp.addition _let_179 _let_167)))) (let ((_let_258 (= (tptp.multiplication _let_92 _let_26) (tptp.addition (tptp.multiplication _let_29 _let_26) (tptp.multiplication _let_3 _let_26))))) (let ((_let_259 (tptp.multiplication _let_189 _let_33))) (let ((_let_260 (tptp.multiplication _let_190 _let_33))) (let ((_let_261 (tptp.addition _let_260 _let_259))) (let ((_let_262 (= (tptp.multiplication _let_191 _let_33) _let_261))) (let ((_let_263 (tptp.multiplication _let_189 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_264 (tptp.multiplication _let_190 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_265 (tptp.addition _let_264 _let_263))) (let ((_let_266 (= (tptp.multiplication _let_191 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) 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(tptp.addition _let_203 _let_206)))) (let ((_let_279 (tptp.addition _let_205 _let_202))) (let ((_let_280 (tptp.domain _let_279))) (let ((_let_281 (= _let_280 (tptp.addition _let_206 _let_203)))) (let ((_let_282 (tptp.addition _let_28 _let_182))) (let ((_let_283 (= _let_282 (tptp.addition _let_182 _let_28)))) (let ((_let_284 (tptp.addition _let_123 _let_182))) (let ((_let_285 (= _let_284 (tptp.addition _let_182 _let_123)))) (let ((_let_286 (= (tptp.addition _let_107 _let_190) (tptp.addition _let_190 _let_107)))) (let ((_let_287 (= _let_276 _let_279))) (let ((_let_288 (= _let_219 (tptp.addition _let_218 _let_182)))) (let ((_let_289 (= _let_265 (tptp.addition _let_263 _let_264)))) (let ((_let_290 (= (tptp.addition _let_110 _let_225) (tptp.addition (tptp.addition _let_110 _let_107) _let_224)))) (let ((_let_291 (tptp.addition _let_282 _let_221))) (let ((_let_292 (= (tptp.addition _let_28 _let_222) _let_291))) (let ((_let_293 (= (tptp.addition _let_185 _let_225) (tptp.addition (tptp.addition _let_185 _let_107) _let_224)))) (let ((_let_294 (tptp.addition _let_284 _let_221))) (let ((_let_295 (= (tptp.addition _let_123 _let_222) _let_294))) (let ((_let_296 (= (tptp.addition _let_260 (tptp.addition _let_259 _let_107)) (tptp.addition _let_261 _let_107)))) (let ((_let_297 (tptp.addition _let_221 _let_28))) (let ((_let_298 (= (tptp.addition _let_182 _let_297) (tptp.addition _let_222 _let_28)))) (let ((_let_299 (= _let_123 (tptp.addition _let_123 _let_123)))) (let ((_let_300 (tptp.multiplication _let_33 _let_25))) (let ((_let_301 (= (tptp.multiplication _let_33 _let_254) (tptp.multiplication _let_300 _let_253)))) (let ((_let_302 (= (tptp.multiplication _let_3 (tptp.multiplication _let_22 _let_80)) (tptp.multiplication _let_41 _let_80)))) (let ((_let_303 (= (tptp.multiplication _let_190 (tptp.multiplication _let_70 _let_70)) (tptp.multiplication (tptp.multiplication _let_190 _let_70) _let_70)))) (let ((_let_304 (= _let_124 (tptp.multiplication _let_124 tptp.one)))) (let ((_let_305 (= _let_166 (tptp.multiplication _let_166 tptp.one)))) (let ((_let_306 (= _let_189 (tptp.multiplication _let_189 tptp.one)))) (let ((_let_307 (= _let_190 (tptp.multiplication _let_190 tptp.one)))) (let ((_let_308 (tptp.multiplication _let_128 _let_171))) (let ((_let_309 (= _let_308 (tptp.multiplication tptp.one _let_308)))) (let ((_let_310 (= (tptp.multiplication _let_25 (tptp.addition _let_238 _let_235)) (tptp.addition _let_239 _let_236)))) (let ((_let_311 (= (tptp.multiplication _let_228 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_186 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiplication _let_227 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_312 (= (tptp.multiplication (tptp.addition _let_33 _let_22) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_161 _let_23)))) (let ((_let_313 (= (tptp.multiplication (tptp.addition _let_29 _let_33) _let_25) (tptp.addition _let_77 _let_300)))) (let ((_let_314 (tptp.addition _let_25 _let_33))) (let ((_let_315 (= (tptp.multiplication _let_314 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_28 _let_161)))) (let ((_let_316 (= (tptp.multiplication _let_137 _let_26) (tptp.addition _let_48 (tptp.multiplication _let_88 _let_26))))) (let ((_let_317 (= (tptp.addition _let_189 _let_107) (tptp.multiplication (tptp.addition _let_106 _let_25) _let_29)))) (let ((_let_318 (tptp.multiplication _let_273 _let_272))) (let ((_let_319 (= _let_318 (tptp.addition _let_272 _let_318)))) (let ((_let_320 (= tptp.one (tptp.addition _let_277 (tptp.antidomain _let_276))))) (let ((_let_321 (tptp.multiplication _let_213 _let_173))) (let ((_let_322 (= _let_321 (tptp.addition (tptp.multiplication _let_213 _let_174) _let_321)))) (let ((_let_323 (= (tptp.addition _let_33 _let_25) _let_314))) (let ((_let_324 (= _let_291 (tptp.addition _let_221 _let_282)))) (let ((_let_325 (= _let_294 (tptp.addition _let_221 _let_284)))) (let ((_let_326 (tptp.antidomain _let_279))) (let ((_let_327 (tptp.addition _let_280 _let_326))) (let ((_let_328 (= (tptp.addition _let_33 _let_327) (tptp.addition (tptp.addition _let_33 _let_280) _let_326)))) (let ((_let_329 (= (tptp.addition _let_25 _let_327) (tptp.addition (tptp.addition _let_25 _let_280) _let_326)))) (let ((_let_330 (SYMM (ASSUME :args (_let_4))))) (let ((_let_331 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_332 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_333 (_let_331))) (let ((_let_334 ((tptp.domain X0)))) (let ((_let_335 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_332 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_334)) :args _let_333)) _let_332 :args (_let_21 false _let_331)))) (let ((_let_336 (_let_6))) (let ((_let_337 (ASSUME :args _let_336))) (let ((_let_338 ((tptp.multiplication X0 (tptp.domain X1))))) (let ((_let_339 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_337 :args (_let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_338)) :args _let_336)) _let_337 :args (_let_30 false _let_6)))) (let ((_let_340 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_341 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_342 (_let_340))) (let ((_let_343 ((tptp.domain X0)))) (let ((_let_344 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_341 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_343)) :args _let_342)) _let_341 :args (_let_32 false _let_340)))) (let ((_let_345 (forall ((BOUND_VARIABLE_758 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain BOUND_VARIABLE_758) (tptp.antidomain BOUND_VARIABLE_758)))))) (let ((_let_346 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_347 (NOT_NOT_ELIM (NOT_OR_ELIM _let_346 :args (0))))) (let ((_let_348 (_let_345))) (let ((_let_349 ((tptp.domain BOUND_VARIABLE_758)))) (let ((_let_350 (ASSUME :args _let_348))) (let ((_let_351 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_350 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_349)) :args _let_348)) _let_347 :args (_let_35 false _let_345)))) (let ((_let_352 (forall ((BOUND_VARIABLE_766 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.domain BOUND_VARIABLE_766) (tptp.antidomain BOUND_VARIABLE_766)))))) (let ((_let_353 (NOT_NOT_ELIM (NOT_OR_ELIM _let_346 :args (1))))) (let ((_let_354 (_let_352))) (let ((_let_355 ((tptp.domain BOUND_VARIABLE_766)))) (let ((_let_356 (ASSUME :args _let_354))) (let ((_let_357 (_let_18))) (let ((_let_358 (ASSUME :args _let_357))) (let ((_let_359 ((tptp.addition A B)))) (let ((_let_360 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (_let_3 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 :args (_let_39 false _let_18)))) (let ((_let_361 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (_let_22 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 :args (_let_40 false _let_18)))) (let ((_let_362 (_let_14))) (let ((_let_363 (ASSUME :args _let_362))) (let ((_let_364 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_365 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_366 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_367 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_368 (_let_366))) (let ((_let_369 ((not (= (tptp.multiplication A tptp.zero) tptp.zero))))) (let ((_let_370 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_367 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_369)) :args _let_368)) _let_367 :args (_let_47 false _let_366)))) (let ((_let_371 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_332 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_334)) :args _let_333)) _let_332 :args (_let_50 false _let_331)))) (let ((_let_372 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_341 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_343)) :args _let_342)) _let_341 :args (_let_55 false _let_340)))) (let ((_let_373 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_350 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_349)) :args _let_348)) _let_347 :args (_let_58 false _let_345)))) (let ((_let_374 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (_let_26 _let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 :args (_let_61 false _let_18)))) (let ((_let_375 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (_let_3 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 :args (_let_64 false _let_18)))) (let ((_let_376 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (_let_27 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 :args (_let_66 false _let_18)))) (let ((_let_377 (_let_17))) (let ((_let_378 (ASSUME :args _let_377))) (let ((_let_379 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_380 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (_let_22 _let_56 _let_29 QUANTIFIERS_INST_E_MATCHING _let_379)) :args _let_377)) _let_378 :args (_let_69 false _let_17)))) (let ((_let_381 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_382 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_383 (_let_381))) (let ((_let_384 ((tptp.addition A tptp.zero)))) (let ((_let_385 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_384)) :args _let_383)) _let_382 :args (_let_71 false _let_381)))) (let ((_let_386 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_387 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_388 (_let_386))) (let ((_let_389 ((tptp.addition A A)))) (let ((_let_390 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_387 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_389)) :args _let_388)) _let_387 :args (_let_73 false _let_386)))) (let ((_let_391 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_27 _let_25 _let_22 QUANTIFIERS_INST_E_MATCHING _let_364)) :args _let_362)) _let_363 :args (_let_76 false _let_14)))) (let ((_let_392 (_let_10))) (let ((_let_393 (ASSUME :args _let_392))) (let ((_let_394 ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (let ((_let_395 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_367 :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_369)) :args _let_368)) _let_367 :args (_let_82 false _let_366)))) (let ((_let_396 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_397 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_398 (_let_396))) (let ((_let_399 ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) (let ((_let_400 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_399)) :args _let_398)) _let_397 :args (_let_83 false _let_396)))) (let ((_let_401 (_let_2))) (let ((_let_402 (ASSUME :args _let_401))) (let ((_let_403 ((tptp.addition (tptp.domain X0) (tptp.domain X1))))) (let ((_let_404 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_402 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_403)) :args _let_401))) _let_402 :args (_let_89 false _let_2)))) (let ((_let_405 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 :args (_let_91 false _let_18)))) (let ((_let_406 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_384)) :args _let_383)) _let_382 :args (_let_99 false _let_381)))) (let ((_let_407 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_387 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_389)) :args _let_388)) _let_387 :args (_let_101 false _let_386)))) (let ((_let_408 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_409 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_410 (_let_408))) (let ((_let_411 ((tptp.multiplication A tptp.one)))) (let ((_let_412 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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(SCOPE (INSTANTIATE _let_397 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_399)) :args _let_398)) _let_397 :args (_let_122 false _let_396)))) (let ((_let_420 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_350 :args (_let_87 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_349)) :args _let_348)) _let_347 :args (_let_130 false _let_345)))) (let ((_let_421 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (_let_87 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_355)) :args _let_354)) _let_353 :args (_let_132 false _let_352)))) (let ((_let_422 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_358 :args (_let_74 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357))) _let_358 :args (_let_135 false _let_18)))) (let ((_let_423 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (_let_107 _let_106 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 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false _let_11)))) (let ((_let_452 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_393 :args (_let_77 _let_25 _let_33 QUANTIFIERS_INST_E_MATCHING _let_394)) :args _let_392)) _let_393 :args (_let_269 false _let_10)))) (let ((_let_453 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (_let_224 _let_107 _let_110 QUANTIFIERS_INST_E_MATCHING _let_424)) :args _let_377)) _let_378 :args (_let_290 false _let_17)))) (let ((_let_454 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (_let_224 _let_107 _let_185 QUANTIFIERS_INST_E_MATCHING _let_424)) :args _let_377)) _let_378 :args (_let_293 false _let_17)))) (let ((_let_455 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_393 :args (_let_29 _let_33 _let_25 QUANTIFIERS_INST_E_MATCHING _let_394)) :args _let_392)) _let_393 :args (_let_313 false _let_10)))) (let ((_let_456 (= tptp.zero (tptp.multiplication _let_74 tptp.zero)))) (let ((_let_457 (= (tptp.multiplication _let_74 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false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_414 :args (_let_25 _let_29 _let_29 QUANTIFIERS_INST_E_MATCHING _let_415)) :args _let_413)) _let_414 :args (_let_170 false _let_11)) _let_432 _let_431 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_88 _let_128 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_365)) :args _let_362)) _let_363 :args (_let_165 false _let_14)) _let_430 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_25 _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_365)) :args _let_362)) _let_363 :args (_let_163 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_25 _let_33 _let_22 QUANTIFIERS_INST_E_MATCHING _let_365)) :args _let_362)) _let_363 :args (_let_160 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_3 _let_110 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(INSTANTIATE _let_378 :args (_let_28 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_424)) :args _let_377)) _let_378 :args (_let_142 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (_let_29 _let_29 _let_22 QUANTIFIERS_INST_E_MATCHING _let_424)) :args _let_377)) _let_378 :args (_let_140 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (_let_128 _let_88 _let_27 QUANTIFIERS_INST_E_MATCHING _let_424)) :args _let_377)) _let_378 :args (_let_139 false _let_17)) _let_423 _let_422 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (_let_84 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 :args (_let_134 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 :args (_let_133 false _let_18)) _let_421 _let_420 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_402 :args (_let_84 _let_28 QUANTIFIERS_INST_E_MATCHING _let_403)) :args _let_401)) _let_402 :args (_let_127 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_402 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 QUANTIFIERS_INST_E_MATCHING _let_403)) :args _let_401))) _let_402 :args (_let_125 false _let_2)) _let_419 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (_let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_399)) :args _let_398)) _let_397 :args (_let_121 false _let_396)) _let_418 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_393 :args (_let_77 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_394)) :args _let_392)) _let_393 :args (_let_117 false _let_10)) _let_417 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_393 :args (_let_25 _let_25 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:args (_let_3 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 :args (_let_94 false _let_18)) _let_405 _let_404 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_337 :args (_let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_338)) :args _let_336)) _let_337 :args (_let_86 false _let_6)) _let_400 _let_395 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_393 :args (_let_29 _let_29 _let_56 QUANTIFIERS_INST_E_MATCHING _let_394)) :args _let_392))) _let_393 :args (_let_81 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_29 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_364)) :args _let_362)) _let_363 :args (_let_79 false _let_14)) _let_391 _let_390 _let_385 _let_380 _let_376 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (_let_28 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_357)) _let_358 :args (_let_65 false _let_18)) _let_375 _let_374 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_355)) :args _let_354)) _let_353 :args (_let_60 false _let_352)) _let_373 _let_372 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_332 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_334)) :args _let_333)) _let_332 :args (_let_53 false _let_331)) _let_371 _let_370 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_22 _let_25 _let_33 QUANTIFIERS_INST_E_MATCHING _let_365)) :args _let_362)) _let_363 :args (_let_46 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_22 _let_25 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_365)) :args _let_362)) _let_363 :args (_let_44 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (_let_3 _let_22 _let_25 QUANTIFIERS_INST_E_MATCHING _let_364)) :args _let_362)) _let_363 :args (_let_42 false _let_14)) _let_361 _let_360 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_355)) :args _let_354)) _let_353 :args (_let_38 false _let_352)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_355)) :args _let_354)) _let_353 :args (_let_36 false _let_352)) _let_351 _let_344 _let_339 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_332 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_334)) :args _let_333)) _let_332 :args (_let_24 false _let_331)) _let_335 _let_330 :args (false false _let_329 false _let_328 false _let_325 false _let_324 false _let_323 true _let_322 false _let_320 false _let_319 false _let_317 false _let_316 false _let_315 false _let_313 false _let_312 false _let_311 false _let_310 false _let_309 false _let_307 false _let_306 false _let_305 false _let_304 false _let_303 false _let_302 false _let_301 false _let_299 false _let_298 false _let_296 false _let_295 false _let_293 false _let_292 false _let_290 false _let_289 false _let_288 false _let_287 false _let_286 false _let_285 false _let_283 false _let_281 false _let_278 false _let_275 false _let_274 false _let_271 false _let_269 false _let_268 false _let_267 false _let_266 false _let_262 false _let_258 false _let_257 false _let_256 false _let_255 false _let_252 false _let_251 false _let_250 false _let_249 false _let_248 false _let_247 false _let_246 false _let_245 false _let_244 false _let_243 false _let_240 false _let_237 false _let_234 false _let_233 false _let_232 false _let_231 false _let_230 false _let_229 false _let_226 false _let_223 false _let_220 false _let_216 false _let_215 false _let_214 false _let_212 false _let_211 false _let_210 false _let_207 false _let_204 false _let_201 false _let_199 false _let_196 false _let_195 false _let_193 false _let_192 false _let_188 false _let_184 false _let_180 false _let_177 false _let_176 false _let_172 false _let_170 false _let_169 false _let_168 false _let_165 false _let_164 false _let_163 false _let_160 false _let_157 false _let_156 false _let_154 false _let_153 false _let_152 false _let_151 false _let_150 false _let_149 false _let_146 false _let_145 false _let_142 false _let_140 false _let_139 false _let_136 false _let_135 false _let_134 false _let_133 false _let_132 false _let_130 false _let_127 false _let_125 false _let_122 false _let_121 false _let_120 false _let_117 false _let_114 false _let_112 false _let_109 false _let_105 false _let_104 false _let_103 false _let_101 false _let_99 false _let_98 false _let_95 false _let_94 false _let_91 false _let_89 false _let_86 false _let_83 false _let_82 false _let_81 false _let_79 false _let_76 false _let_73 false _let_71 false _let_69 false _let_66 false _let_65 false _let_64 false _let_61 false _let_60 false _let_58 false _let_55 false _let_53 false _let_50 false _let_47 false _let_46 false _let_44 false _let_42 false _let_40 false _let_39 false _let_38 false _let_36 false _let_35 false _let_32 false _let_30 false _let_24 false _let_21 false _let_19)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_7 _let_6 _let_5 _let_4 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.32/5.53 )
% 5.32/5.53 % SZS output end Proof for KLE079+1
% 5.32/5.53 % cvc5---1.0.5 exiting
% 5.32/5.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------