TSTP Solution File: KLE078+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE078+1 : TPTP v8.1.2. Released v4.0.0.
% 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 05:27:11 EDT 2023

% Result   : Theorem 3.83s 4.06s
% Output   : Proof 3.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KLE078+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n025.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 11:44:40 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 3.83/4.06  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.T4fUpEe7Jj/cvc5---1.0.5_19101.p...
% 3.83/4.06  ------- get file name : TPTP file name is KLE078+1
% 3.83/4.06  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19101.smt2...
% 3.83/4.06  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.83/4.06  % SZS status Theorem for KLE078+1
% 3.83/4.06  % SZS output start Proof for KLE078+1
% 3.83/4.06  (
% 3.83/4.06  (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (=> (forall ((X1 $$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.domain _let_1) _let_1))))))) (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.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.domain _let_20))) (let ((_let_22 (= _let_20 _let_21))) (let ((_let_23 (tptp.multiplication _let_3 tptp.zero))) (let ((_let_24 (tptp.addition tptp.zero _let_23))) (let ((_let_25 (= _let_23 _let_24))) (let ((_let_26 (tptp.multiplication _let_21 _let_20))) (let ((_let_27 (tptp.addition _let_20 _let_26))) (let ((_let_28 (= _let_26 _let_27))) (let ((_let_29 (tptp.addition _let_3 tptp.one))) (let ((_let_30 (= tptp.one _let_29))) (let ((_let_31 (tptp.addition _let_21 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.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (tptp.addition _let_36 _let_20))) (let ((_let_38 (= tptp.one _let_37))) (let ((_let_39 (tptp.multiplication _let_3 _let_33))) (let ((_let_40 (= tptp.zero _let_39))) (let ((_let_41 (tptp.multiplication _let_36 _let_20))) (let ((_let_42 (= tptp.zero _let_41))) (let ((_let_43 (= _let_29 (tptp.addition tptp.one _let_3)))) (let ((_let_44 (= _let_34 (tptp.addition _let_33 _let_3)))) (let ((_let_45 (= _let_27 (tptp.addition _let_26 _let_20)))) (let ((_let_46 (= _let_31 (tptp.addition tptp.one _let_21)))) (let ((_let_47 (tptp.addition _let_20 _let_36))) (let ((_let_48 (= _let_37 _let_47))) (let ((_let_49 (tptp.addition _let_3 _let_36))) (let ((_let_50 (tptp.addition _let_49 _let_20))) (let ((_let_51 (= (tptp.addition _let_3 _let_37) _let_50))) (let ((_let_52 (tptp.addition _let_21 _let_36))) (let ((_let_53 (tptp.addition _let_52 _let_20))) (let ((_let_54 (= (tptp.addition _let_21 _let_37) _let_53))) (let ((_let_55 (tptp.multiplication _let_3 _let_36))) (let ((_let_56 (= (tptp.multiplication _let_3 _let_41) (tptp.multiplication _let_55 _let_20)))) (let ((_let_57 (tptp.multiplication _let_20 tptp.zero))) (let ((_let_58 (= (tptp.multiplication _let_36 _let_57) (tptp.multiplication _let_41 tptp.zero)))) (let ((_let_59 (tptp.multiplication _let_20 _let_33))) (let ((_let_60 (tptp.multiplication _let_36 _let_59))) (let ((_let_61 (= _let_60 (tptp.multiplication _let_41 _let_33)))) (let ((_let_62 (tptp.addition _let_33 tptp.zero))) (let ((_let_63 (= (tptp.multiplication _let_3 _let_62) (tptp.addition _let_39 _let_23)))) (let ((_let_64 (= tptp.zero _let_23))) (let ((_let_65 (tptp.addition _let_36 tptp.one))) (let ((_let_66 (= tptp.one _let_65))) (let ((_let_67 (tptp.addition _let_36 _let_21))) (let ((_let_68 (= _let_52 _let_67))) (let ((_let_69 (tptp.addition _let_36 _let_3))) (let ((_let_70 (= _let_49 _let_69))) (let ((_let_71 (= _let_50 (tptp.addition _let_20 _let_49)))) (let ((_let_72 (tptp.addition _let_20 _let_52))) (let ((_let_73 (= _let_53 _let_72))) (let ((_let_74 (tptp.addition _let_52 tptp.one))) (let ((_let_75 (= (tptp.addition _let_21 _let_65) _let_74))) (let ((_let_76 (tptp.addition _let_20 _let_3))) (let ((_let_77 (= (tptp.addition _let_52 _let_76) (tptp.addition _let_53 _let_3)))) (let ((_let_78 (tptp.addition _let_20 _let_21))) (let ((_let_79 (tptp.addition _let_52 _let_78))) (let ((_let_80 (= _let_79 (tptp.addition _let_53 _let_21)))) (let ((_let_81 (= (tptp.addition tptp.zero (tptp.addition _let_23 _let_36)) (tptp.addition _let_24 _let_36)))) (let ((_let_82 (= _let_33 _let_62))) (let ((_let_83 (tptp.addition _let_20 _let_20))) (let ((_let_84 (= _let_20 _let_83))) (let ((_let_85 (= (tptp.multiplication _let_3 _let_60) (tptp.multiplication _let_55 _let_59)))) (let ((_let_86 (tptp.addition _let_36 _let_36))) (let ((_let_87 (tptp.multiplication _let_86 _let_59))) (let ((_let_88 (= (tptp.addition _let_60 _let_60) _let_87))) (let ((_let_89 (= tptp.zero _let_57))) (let ((_let_90 (= tptp.zero (tptp.multiplication tptp.zero _let_36)))) (let ((_let_91 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_92 (= _let_49 (tptp.domain _let_91)))) (let ((_let_93 (tptp.addition _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_94 (tptp.domain _let_93))) (let ((_let_95 (= _let_52 _let_94))) (let ((_let_96 (tptp.addition _let_21 _let_20))) (let ((_let_97 (= _let_78 _let_96))) (let ((_let_98 (tptp.addition _let_3 _let_20))) (let ((_let_99 (= _let_76 _let_98))) (let ((_let_100 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_101 (= _let_91 _let_100))) (let ((_let_102 (= _let_74 (tptp.addition tptp.one _let_52)))) (let ((_let_103 (= _let_79 (tptp.addition _let_78 _let_52)))) (let ((_let_104 (= (tptp.addition _let_36 _let_83) (tptp.addition _let_37 _let_20)))) (let ((_let_105 (= _let_72 (tptp.addition _let_78 _let_36)))) (let ((_let_106 (= (tptp.addition _let_20 _let_47) (tptp.addition _let_83 _let_36)))) (let ((_let_107 (= (tptp.addition _let_36 _let_98) (tptp.addition _let_69 _let_20)))) (let ((_let_108 (= (tptp.addition _let_36 _let_96) (tptp.addition _let_67 _let_20)))) (let ((_let_109 (= (tptp.addition _let_20 _let_93) (tptp.addition _let_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_110 (tptp.addition _let_20 _let_78))) (let ((_let_111 (= _let_110 (tptp.addition _let_83 _let_21)))) (let ((_let_112 (= (tptp.addition _let_20 _let_76) (tptp.addition _let_83 _let_3)))) (let ((_let_113 (= _let_20 (tptp.addition _let_20 tptp.zero)))) (let ((_let_114 (= _let_36 (tptp.addition _let_36 tptp.zero)))) (let ((_let_115 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_116 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_115))) (let ((_let_117 (= _let_36 _let_86))) (let ((_let_118 (tptp.addition _let_59 _let_59))) (let ((_let_119 (= _let_59 _let_118))) (let ((_let_120 (tptp.multiplication _let_20 _let_20))) (let ((_let_121 (tptp.multiplication _let_120 tptp.zero))) (let ((_let_122 (= (tptp.multiplication _let_20 _let_57) _let_121))) (let ((_let_123 (tptp.multiplication _let_36 _let_86))) (let ((_let_124 (tptp.multiplication _let_123 _let_59))) (let ((_let_125 (= (tptp.multiplication _let_36 _let_87) _let_124))) (let ((_let_126 (tptp.multiplication _let_36 _let_33))) (let ((_let_127 (= (tptp.multiplication _let_3 _let_126) (tptp.multiplication _let_55 _let_33)))) (let ((_let_128 (tptp.multiplication _let_36 _let_36))) (let ((_let_129 (= (tptp.multiplication _let_3 _let_128) (tptp.multiplication _let_55 _let_36)))) (let ((_let_130 (tptp.multiplication _let_59 _let_59))) (let ((_let_131 (= (tptp.multiplication _let_86 _let_130) (tptp.multiplication _let_87 _let_59)))) (let ((_let_132 (= _let_20 (tptp.multiplication _let_20 tptp.one)))) (let ((_let_133 (= (tptp.multiplication _let_21 _let_83) (tptp.addition _let_26 _let_26)))) (let ((_let_134 (tptp.multiplication _let_3 _let_78))) (let ((_let_135 (tptp.multiplication _let_3 _let_52))) (let ((_let_136 (= (tptp.multiplication _let_3 _let_79) (tptp.addition _let_135 _let_134)))) (let ((_let_137 (tptp.multiplication _let_20 _let_78))) (let ((_let_138 (tptp.multiplication _let_20 _let_52))) (let ((_let_139 (= (tptp.multiplication _let_20 _let_79) (tptp.addition _let_138 _let_137)))) (let ((_let_140 (tptp.addition _let_33 _let_33))) (let ((_let_141 (tptp.multiplication _let_20 _let_140))) (let ((_let_142 (= _let_118 _let_141))) (let ((_let_143 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_144 (tptp.addition _let_21 _let_21))) (let ((_let_145 (= (tptp.domain _let_83) _let_144))) (let ((_let_146 (tptp.antidomain _let_93))) (let ((_let_147 (tptp.addition _let_94 _let_146))) (let ((_let_148 (= tptp.one _let_147))) (let ((_let_149 (tptp.multiplication _let_94 _let_146))) (let ((_let_150 (= tptp.zero _let_149))) (let ((_let_151 (= (tptp.addition _let_3 _let_52) (tptp.addition _let_52 _let_3)))) (let ((_let_152 (= _let_110 (tptp.addition _let_78 _let_20)))) (let ((_let_153 (tptp.addition _let_3 _let_78))) (let ((_let_154 (= (tptp.addition _let_78 _let_3) _let_153))) (let ((_let_155 (tptp.multiplication _let_59 _let_52))) (let ((_let_156 (tptp.multiplication _let_59 _let_78))) (let ((_let_157 (tptp.addition _let_156 _let_155))) (let ((_let_158 (tptp.addition _let_155 _let_156))) (let ((_let_159 (= _let_158 _let_157))) (let ((_let_160 (tptp.addition _let_52 _let_21))) (let ((_let_161 (tptp.addition _let_21 _let_52))) (let ((_let_162 (= _let_161 _let_160))) (let ((_let_163 (= (tptp.addition _let_21 _let_86) (tptp.addition _let_52 _let_36)))) (let ((_let_164 (= (tptp.addition _let_20 _let_115) (tptp.addition _let_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_165 (= (tptp.addition _let_52 _let_110) (tptp.addition _let_53 _let_78)))) (let ((_let_166 (= (tptp.addition _let_36 _let_144) (tptp.addition _let_67 _let_21)))) (let ((_let_167 (= (tptp.addition _let_33 _let_147) (tptp.addition (tptp.addition _let_33 _let_94) _let_146)))) (let ((_let_168 (= (tptp.addition _let_20 _let_147) (tptp.addition (tptp.addition _let_20 _let_94) _let_146)))) (let ((_let_169 (tptp.addition _let_160 _let_36))) (let ((_let_170 (= (tptp.addition _let_52 _let_52) _let_169))) (let ((_let_171 (tptp.addition _let_156 _let_78))) (let ((_let_172 (tptp.addition _let_155 _let_171))) (let ((_let_173 (= _let_172 (tptp.addition _let_158 _let_78)))) (let ((_let_174 (tptp.addition _let_156 _let_93))) (let ((_let_175 (tptp.addition _let_155 _let_174))) (let ((_let_176 (= _let_175 (tptp.addition _let_158 _let_93)))) (let ((_let_177 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_100))) (let ((_let_178 (= _let_78 (tptp.addition _let_78 tptp.zero)))) (let ((_let_179 (= (tptp.multiplication _let_3 _let_149) (tptp.multiplication (tptp.multiplication _let_3 _let_94) _let_146)))) (let ((_let_180 (tptp.multiplication _let_36 _let_94))) (let ((_let_181 (tptp.multiplication _let_180 _let_146))) (let ((_let_182 (= (tptp.multiplication _let_36 _let_149) _let_181))) (let ((_let_183 (tptp.multiplication _let_59 _let_20))) (let ((_let_184 (= (tptp.multiplication _let_59 _let_141) (tptp.multiplication _let_183 _let_140)))) (let ((_let_185 (tptp.multiplication _let_146 tptp.zero))) (let ((_let_186 (= (tptp.multiplication _let_94 _let_185) (tptp.multiplication _let_149 tptp.zero)))) (let ((_let_187 (tptp.multiplication _let_146 _let_33))) (let ((_let_188 (= (tptp.multiplication _let_94 _let_187) (tptp.multiplication _let_149 _let_33)))) (let ((_let_189 (= (tptp.multiplication _let_3 (tptp.multiplication tptp.zero _let_78)) (tptp.multiplication _let_23 _let_78)))) (let ((_let_190 (tptp.multiplication tptp.zero _let_52))) (let ((_let_191 (= (tptp.multiplication _let_3 _let_190) (tptp.multiplication _let_23 _let_52)))) (let ((_let_192 (tptp.multiplication _let_146 _let_128))) (let ((_let_193 (= (tptp.multiplication _let_94 _let_192) (tptp.multiplication _let_149 _let_128)))) (let ((_let_194 (tptp.multiplication _let_146 _let_126))) (let ((_let_195 (tptp.multiplication _let_94 _let_194))) (let ((_let_196 (= _let_195 (tptp.multiplication _let_149 _let_126)))) (let ((_let_197 (= _let_33 (tptp.multiplication _let_33 tptp.one)))) (let ((_let_198 (= _let_36 (tptp.multiplication _let_36 tptp.one)))) (let ((_let_199 (= tptp.zero (tptp.multiplication tptp.one tptp.zero)))) (let ((_let_200 (tptp.multiplication _let_20 _let_94))) (let ((_let_201 (= (tptp.multiplication _let_20 _let_147) (tptp.addition _let_200 (tptp.multiplication _let_20 _let_146))))) (let ((_let_202 (tptp.addition _let_183 _let_156))) (let ((_let_203 (= (tptp.multiplication _let_59 _let_110) _let_202))) (let ((_let_204 (tptp.multiplication _let_3 _let_20))) (let ((_let_205 (= (tptp.multiplication _let_3 _let_110) (tptp.addition _let_204 _let_134)))) (let ((_let_206 (tptp.multiplication _let_3 _let_21))) (let ((_let_207 (= _let_135 (tptp.addition _let_206 _let_55)))) (let ((_let_208 (tptp.addition 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(tptp.addition _let_223 _let_222))) (let ((_let_225 (= (tptp.multiplication _let_147 _let_62) _let_224))) (let ((_let_226 (= tptp.zero _let_190))) (let ((_let_227 (tptp.multiplication _let_59 _let_94))) (let ((_let_228 (tptp.multiplication _let_59 _let_93))) (let ((_let_229 (tptp.domain _let_228))) (let ((_let_230 (= _let_229 (tptp.domain _let_227)))) (let ((_let_231 (tptp.domain _let_156))) (let ((_let_232 (tptp.domain _let_155))) (let ((_let_233 (= (tptp.domain _let_158) (tptp.addition _let_232 _let_231)))) (let ((_let_234 (tptp.addition _let_93 _let_93))) (let ((_let_235 (tptp.domain _let_234))) (let ((_let_236 (= _let_235 (tptp.addition _let_94 _let_94)))) (let ((_let_237 (tptp.addition tptp.zero _let_93))) (let ((_let_238 (= (tptp.addition _let_3 _let_94) (tptp.domain _let_237)))) (let ((_let_239 (tptp.addition _let_161 _let_20))) (let ((_let_240 (= (tptp.addition _let_239 _let_78) (tptp.addition _let_78 _let_239)))) (let ((_let_241 (= (tptp.addition _let_53 _let_155) 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_let_84 _let_85 _let_88 _let_89 _let_90 _let_92 _let_95 _let_97 _let_99 _let_101 _let_102 _let_103 _let_104 _let_105 _let_106 _let_107 _let_108 _let_109 _let_111 _let_112 _let_113 _let_114 _let_116 _let_117 _let_119 _let_122 _let_125 _let_127 _let_129 _let_131 _let_132 _let_133 _let_136 _let_139 _let_142 _let_143 _let_145 _let_148 _let_150 _let_151 _let_152 _let_154 _let_159 _let_162 _let_163 _let_164 _let_165 _let_166 _let_167 _let_168 _let_170 _let_173 _let_176 _let_177 _let_178 _let_179 _let_182 _let_184 _let_186 _let_188 _let_189 _let_191 _let_193 _let_196 _let_197 _let_198 _let_199 _let_201 _let_203 _let_205 _let_207 _let_209 _let_212 _let_213 _let_217 _let_221 _let_225 _let_226 _let_230 _let_233 _let_236 _let_238 _let_240 _let_241 _let_242 _let_243 _let_246 _let_248 _let_249 _let_250 _let_251 _let_252 _let_255 _let_257 _let_259 _let_260 _let_261 _let_267 _let_268 _let_270 _let_272 _let_274 _let_275 _let_277 _let_278 _let_279 _let_280 _let_281 _let_283 _let_284 _let_287 _let_289 _let_292 _let_293 _let_294 _let_298 _let_299 _let_301 _let_303 _let_306 _let_309 _let_311 _let_312 _let_313 _let_314 _let_315 _let_316 _let_317 _let_318 _let_320 _let_323 _let_325 _let_328 _let_329 _let_331 _let_332 _let_333 _let_334 _let_337 _let_338 _let_339 _let_340 _let_343 _let_347 _let_351 _let_355 _let_359 _let_360 _let_364 _let_367 _let_371 _let_375 _let_376 _let_380 _let_384 _let_386 _let_387 _let_388 _let_389 _let_392 _let_395 _let_397 _let_398 _let_399 _let_400 _let_401 _let_402 _let_403 _let_404 _let_405 _let_406 _let_407 _let_408 _let_409 _let_410 _let_411 _let_412 _let_415 _let_416 _let_417 _let_418 _let_419 _let_420 _let_422 _let_424 _let_425 _let_428 _let_429 _let_430 _let_431 _let_432 _let_433 _let_434 _let_435 _let_436 _let_439 _let_443 _let_447 _let_448 _let_449 _let_452 _let_453 _let_456 _let_457 _let_459 _let_462 _let_463 _let_464 _let_468 _let_469 _let_473 _let_474 _let_475 _let_476 _let_478 _let_479 _let_480 _let_481 _let_482 _let_483 _let_484 _let_487 _let_488 _let_489 _let_490 _let_493 _let_494 _let_495 _let_497 _let_499 _let_502 _let_503 _let_505 _let_506 _let_508 _let_509 _let_510 _let_511 _let_512 _let_513 _let_514 _let_515 _let_516 _let_517 _let_518 _let_519 _let_520 _let_521 _let_522 _let_523 _let_524 _let_525 _let_527 _let_528 _let_529 _let_531 _let_532 _let_533 _let_534 _let_535 _let_536 _let_537 _let_538 _let_539 _let_541 _let_542 _let_544))) :args (true _let_619)) :args ((or (not _let_19) _let_22 (not _let_25) (not _let_28) (not _let_30) (not _let_32) (not _let_35) (not _let_38) (not _let_40) (not _let_42) (not _let_43) (not _let_44) (not _let_45) (not _let_46) (not _let_48) (not _let_51) (not _let_54) (not _let_56) (not _let_58) (not _let_61) (not _let_63) (not _let_64) (not _let_66) (not _let_68) (not _let_70) (not _let_71) (not _let_73) (not _let_75) (not _let_77) (not _let_80) (not _let_81) (not _let_82) (not _let_84) (not _let_85) (not _let_88) (not _let_89) (not _let_90) (not _let_92) (not _let_95) (not _let_97) (not _let_99) (not _let_101) (not _let_102) (not _let_103) (not _let_104) (not _let_105) (not _let_106) (not _let_107) (not _let_108) (not _let_109) (not _let_111) (not _let_112) (not _let_113) (not _let_114) (not _let_116) (not _let_117) (not _let_119) (not _let_122) (not _let_125) (not _let_127) (not _let_129) (not _let_131) (not _let_132) (not _let_133) (not _let_136) (not _let_139) (not _let_142) (not _let_143) (not _let_145) (not _let_148) (not _let_150) (not _let_151) (not _let_152) (not _let_154) (not _let_159) (not _let_162) (not _let_163) (not _let_164) (not _let_165) (not _let_166) (not _let_167) (not _let_168) (not _let_170) (not _let_173) (not _let_176) (not _let_177) (not _let_178) (not _let_179) (not _let_182) (not _let_184) (not _let_186) (not _let_188) (not _let_189) (not _let_191) (not _let_193) (not _let_196) (not _let_197) (not _let_198) (not _let_199) (not _let_201) (not _let_203) (not _let_205) (not _let_207) (not _let_209) (not _let_212) (not _let_213) (not _let_217) (not _let_221) (not _let_225) (not _let_226) (not _let_230) (not _let_233) (not _let_236) (not _let_238) (not _let_240) (not _let_241) (not _let_242) (not _let_243) (not _let_246) (not _let_248) (not _let_249) (not _let_250) (not _let_251) (not _let_252) (not _let_255) (not _let_257) (not _let_259) (not _let_260) (not _let_261) (not _let_267) (not _let_268) (not _let_270) (not _let_272) (not _let_274) (not _let_275) (not _let_277) (not _let_278) (not _let_279) (not _let_280) (not _let_281) (not _let_283) (not _let_284) (not _let_287) (not _let_289) (not _let_292) (not _let_293) (not _let_294) (not _let_298) (not _let_299) (not _let_301) (not _let_303) (not _let_306) (not _let_309) (not _let_311) (not _let_312) (not _let_313) (not _let_314) (not _let_315) (not _let_316) (not _let_317) (not _let_318) (not _let_320) (not _let_323) (not _let_325) (not _let_328) (not _let_329) (not _let_331) (not _let_332) (not _let_333) (not _let_334) (not _let_337) (not _let_338) (not _let_339) (not _let_340) (not _let_343) (not _let_347) (not _let_351) (not _let_355) (not _let_359) (not _let_360) (not _let_364) (not _let_367) (not _let_371) (not _let_375) (not _let_376) (not _let_380) (not _let_384) (not _let_386) (not _let_387) (not _let_388) (not _let_389) (not _let_392) (not _let_395) (not _let_397) (not _let_398) (not _let_399) (not _let_400) (not _let_401) (not _let_402) (not _let_403) (not _let_404) (not _let_405) (not _let_406) (not _let_407) (not _let_408) (not _let_409) (not _let_410) (not _let_411) (not _let_412) (not _let_415) (not _let_416) (not _let_417) (not _let_418) (not _let_419) (not _let_420) (not _let_422) (not _let_424) (not _let_425) (not _let_428) (not _let_429) (not _let_430) (not _let_431) (not _let_432) (not _let_433) (not _let_434) (not _let_435) (not _let_436) (not _let_439) (not _let_443) (not _let_447) (not _let_448) (not _let_449) (not _let_452) (not _let_453) (not _let_456) (not _let_457) (not _let_459) (not _let_462) (not _let_463) (not _let_464) (not _let_468) (not _let_469) (not _let_473) (not _let_474) (not _let_475) (not _let_476) (not _let_478) (not _let_479) (not _let_480) (not _let_481) (not _let_482) (not _let_483) (not _let_484) (not _let_487) (not _let_488) (not _let_489) (not _let_490) (not _let_493) (not _let_494) (not _let_495) (not _let_497) (not _let_499) (not _let_502) (not _let_503) (not _let_505) (not _let_506) (not _let_508) (not _let_509) (not _let_510) (not _let_511) (not _let_512) (not _let_513) (not _let_514) (not _let_515) (not _let_516) (not _let_517) (not _let_518) (not _let_519) (not _let_520) (not _let_521) (not _let_522) (not _let_523) (not _let_524) (not _let_525) (not _let_527) (not _let_528) (not _let_529) (not _let_531) (not _let_532) (not _let_533) (not _let_534) (not _let_535) (not _let_536) (not _let_537) (not _let_538) (not _let_539) (not _let_541) (not _let_542) (not _let_544)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_552 :args (_let_491 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_554)) :args _let_553)) _let_552 :args (_let_544 false _let_551)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (_let_128 _let_78 _let_146 QUANTIFIERS_INST_E_MATCHING _let_597)) :args _let_595)) _let_596 :args (_let_542 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (_let_78 _let_223 _let_52 QUANTIFIERS_INST_E_MATCHING _let_597)) :args _let_595)) _let_596 :args (_let_541 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (_let_36 _let_59 _let_94 QUANTIFIERS_INST_E_MATCHING _let_597)) :args _let_595)) _let_596 :args (_let_539 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (_let_21 _let_36 _let_396 QUANTIFIERS_INST_E_MATCHING _let_615)) :args _let_595)) _let_596 :args (_let_538 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (_let_94 _let_20 _let_78 QUANTIFIERS_INST_E_MATCHING _let_581)) :args _let_579)) _let_580 :args (_let_537 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (_let_36 _let_426 _let_498 QUANTIFIERS_INST_E_MATCHING _let_581)) :args _let_579)) _let_580 :args (_let_536 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (_let_394 _let_500 _let_155 QUANTIFIERS_INST_E_MATCHING _let_581)) :args _let_579)) _let_580 :args (_let_535 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (_let_245 _let_394 _let_500 QUANTIFIERS_INST_E_MATCHING _let_609)) :args _let_579)) _let_580 :args (_let_534 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (_let_396 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_614)) :args _let_613)) _let_612 :args (_let_533 false _let_611)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (_let_232 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_614)) :args _let_613)) _let_612 :args (_let_532 false _let_611)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (_let_36 _let_460 _let_530 QUANTIFIERS_INST_E_MATCHING _let_578)) :args _let_575)) _let_576 :args (_let_531 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (_let_146 _let_126 _let_229 QUANTIFIERS_INST_E_MATCHING _let_578)) :args _let_575)) _let_576 :args (_let_529 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (_let_59 _let_454 _let_146 QUANTIFIERS_INST_E_MATCHING _let_578)) :args _let_575)) _let_576 :args (_let_528 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_576 :args (_let_223 _let_78 _let_146 QUANTIFIERS_INST_E_MATCHING _let_578)) :args _let_575))) _let_576 :args (_let_527 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (_let_223 _let_223 _let_78 QUANTIFIERS_INST_E_MATCHING _let_577)) :args _let_575)) _let_576 :args (_let_525 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (_let_223 _let_222 _let_78 QUANTIFIERS_INST_E_MATCHING _let_577)) :args _let_575)) _let_576 :args (_let_524 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (_let_3 _let_20 _let_450 QUANTIFIERS_INST_E_MATCHING _let_577)) :args _let_575)) _let_576 :args (_let_523 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (_let_36 _let_20 _let_450 QUANTIFIERS_INST_E_MATCHING _let_577)) :args _let_575)) _let_576 :args (_let_522 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_573 :args (_let_156 _let_465 _let_466 QUANTIFIERS_INST_E_MATCHING _let_586)) :args _let_572)) _let_573 :args (_let_521 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_573 :args (_let_485 _let_390 _let_59 QUANTIFIERS_INST_E_MATCHING _let_574)) :args _let_572)) _let_573 :args (_let_520 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_573 :args (_let_413 _let_349 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_574)) :args _let_572)) _let_573 :args (_let_519 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (_let_335 _let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_569)) _let_570 :args (_let_518 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (_let_393 _let_228 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_569)) _let_570 :args (_let_517 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (_let_445 _let_444 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_569)) _let_570 :args (_let_516 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (_let_396 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_569)) _let_570 :args (_let_515 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (_let_348 _let_156 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_569)) _let_570 :args (_let_514 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (_let_441 _let_440 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_569)) _let_570 :args (_let_513 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (_let_59 _let_307 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_569)) _let_570 :args (_let_512 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (tptp.zero _let_393 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_569)) _let_570 :args (_let_511 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (_let_471 _let_470 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_569)) _let_570 :args (_let_510 false _let_18)) 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% 3.83/4.08  )
% 3.83/4.08  % SZS output end Proof for KLE078+1
% 3.83/4.08  % cvc5---1.0.5 exiting
% 3.83/4.08  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------