%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE135+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 05:27:22 EDT 2023

% Result   : Theorem 6.43s 6.63s
% Output   : Proof 6.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KLE135+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 11:39:23 EDT 2023
% 0.21/0.35  % CPUTime    : 
% 0.22/0.48  %----Proving TF0_NAR, FOF, or CNF
% 6.43/6.63  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.VwZSNrsccq/cvc5---1.0.5_20377.p...
% 6.43/6.63  ------- get file name : TPTP file name is KLE135+1
% 6.43/6.63  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20377.smt2...
% 6.43/6.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 6.43/6.63  % SZS status Theorem for KLE135+1
% 6.43/6.63  % SZS output start Proof for KLE135+1
% 6.43/6.63  (
% 6.43/6.63  (let ((_let_1 (not (forall ((X0 $$unsorted)) (=> (= (tptp.divergence X0) tptp.zero) (= (tptp.forward_diamond (tptp.star X0) (tptp.antidomain X0)) tptp.one)))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.domain X2))) (let ((_let_2 (tptp.addition (tptp.divergence X1) (tptp.forward_diamond (tptp.star X1) _let_1)))) (let ((_let_3 (tptp.domain X0))) (let ((_let_4 (tptp.addition (tptp.forward_diamond X1 _let_3) _let_1))) (=> (= (tptp.addition _let_3 _let_4) _let_4) (= (tptp.addition _let_3 _let_2) _let_2))))))))) (let ((_let_3 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.divergence X0))) (= (tptp.forward_diamond X0 _let_1) _let_1))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_diamond X0 X1) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_6 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_7 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))))) (let ((_let_8 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_16 (forall ((A $$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.divergence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (= tptp.zero _let_19))) (let ((_let_21 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.forward_diamond _let_22 _let_21))) (let ((_let_24 (= tptp.one _let_23))) (let ((_let_25 (tptp.domain _let_21))) (let ((_let_26 (tptp.multiplication _let_22 _let_25))) (let ((_let_27 (tptp.domain _let_26))) (let ((_let_28 (= _let_23 _let_27))) (let ((_let_29 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_30 (= _let_19 _let_29))) (let ((_let_31 (tptp.antidomain _let_21))) (let ((_let_32 (tptp.antidomain _let_31))) (let ((_let_33 (= _let_25 _let_32))) (let ((_let_34 (tptp.antidomain _let_26))) (let ((_let_35 (tptp.antidomain _let_34))) (let ((_let_36 (= _let_27 _let_35))) (let ((_let_37 (tptp.domain _let_19))) (let ((_let_38 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_39 (tptp.domain _let_38))) (let ((_let_40 (= _let_29 _let_39))) (let ((_let_41 (tptp.multiplication _let_32 _let_31))) (let ((_let_42 (= tptp.zero _let_41))) (let ((_let_43 (= tptp.zero (tptp.multiplication _let_35 _let_34)))) (let ((_let_44 (tptp.antidomain (tptp.multiplication _let_22 _let_32)))) (let ((_let_45 (tptp.antidomain (tptp.multiplication _let_22 _let_21)))) (let ((_let_46 (tptp.addition _let_45 _let_44))) (let ((_let_47 (= _let_44 _let_46))) (let ((_let_48 (tptp.addition _let_31 _let_21))) (let ((_let_49 (= tptp.one _let_48))) (let ((_let_50 (= tptp.one (tptp.addition _let_32 _let_31)))) (let ((_let_51 (tptp.antidomain _let_32))) (let ((_let_52 (tptp.addition _let_51 _let_32))) (let ((_let_53 (= tptp.one _let_52))) (let ((_let_54 (tptp.antidomain _let_19))) (let ((_let_55 (tptp.antidomain _let_54))) (let ((_let_56 (= _let_37 _let_55))) (let ((_let_57 (tptp.antidomain _let_38))) (let ((_let_58 (tptp.antidomain _let_57))) (let ((_let_59 (= _let_39 _let_58))) (let ((_let_60 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_61 (= _let_31 _let_60))) (let ((_let_62 (tptp.domain _let_31))) (let ((_let_63 (= _let_51 _let_62))) (let ((_let_64 (tptp.domain _let_34))) (let ((_let_65 (tptp.antidomain _let_35))) (let ((_let_66 (= _let_65 _let_64))) (let ((_let_67 (= _let_52 (tptp.addition _let_32 _let_51)))) (let ((_let_68 (tptp.multiplication _let_35 _let_44))) (let ((_let_69 (tptp.multiplication _let_35 _let_45))) (let ((_let_70 (tptp.addition _let_69 _let_68))) (let ((_let_71 (= (tptp.multiplication _let_35 _let_46) _let_70))) (let ((_let_72 (= tptp.zero (tptp.multiplication _let_55 _let_54)))) (let ((_let_73 (tptp.antidomain (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55)))) (let ((_let_74 (tptp.antidomain (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19)))) (let ((_let_75 (tptp.addition _let_74 _let_73))) (let ((_let_76 (= _let_73 _let_75))) (let ((_let_77 (tptp.antidomain _let_41))) (let ((_let_78 (= _let_77 (tptp.addition (tptp.antidomain (tptp.multiplication _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_77)))) (let ((_let_79 (tptp.antidomain _let_58))) (let ((_let_80 (tptp.addition _let_79 _let_58))) (let ((_let_81 (= tptp.one _let_80))) (let ((_let_82 (= tptp.one (tptp.addition _let_58 _let_57)))) (let ((_let_83 (tptp.domain _let_57))) (let ((_let_84 (= _let_79 _let_83))) (let ((_let_85 (tptp.domain _let_54))) (let ((_let_86 (tptp.antidomain _let_55))) (let ((_let_87 (= _let_86 _let_85))) (let ((_let_88 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39))) (let ((_let_89 (tptp.addition _let_88 _let_25))) (let ((_let_90 (= _let_89 (tptp.addition _let_25 _let_88)))) (let ((_let_91 (tptp.addition _let_89 _let_39))) (let ((_let_92 (tptp.addition _let_39 _let_89))) (let ((_let_93 (= _let_92 _let_91))) (let ((_let_94 (tptp.forward_diamond _let_22 _let_25))) (let ((_let_95 (tptp.addition _let_19 _let_94))) (let ((_let_96 (= _let_95 (tptp.addition _let_94 _let_19)))) (let ((_let_97 (= _let_80 (tptp.addition _let_58 _let_79)))) (let ((_let_98 (= _let_70 (tptp.addition _let_68 _let_69)))) (let ((_let_99 (= (tptp.addition _let_58 _let_75) (tptp.addition (tptp.addition _let_58 _let_74) _let_73)))) (let ((_let_100 (= _let_92 (tptp.addition (tptp.addition _let_39 _let_88) _let_25)))) (let ((_let_101 (= _let_79 (tptp.addition _let_79 tptp.zero)))) (let ((_let_102 (= _let_69 (tptp.addition _let_69 tptp.zero)))) (let ((_let_103 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_104 (= tptp.zero (tptp.multiplication tptp.zero _let_34)))) (let ((_let_105 (tptp.antidomain _let_62))) (let ((_let_106 (= tptp.zero (tptp.multiplication _let_105 _let_62)))) (let ((_let_107 (tptp.antidomain _let_64))) (let ((_let_108 (tptp.multiplication _let_107 _let_64))) (let ((_let_109 (= tptp.zero _let_108))) (let ((_let_110 (tptp.multiplication _let_64 _let_65))) (let ((_let_111 (tptp.antidomain _let_110))) (let ((_let_112 (tptp.multiplication _let_64 _let_34))) (let ((_let_113 (tptp.antidomain _let_112))) (let ((_let_114 (tptp.addition _let_113 _let_111))) (let ((_let_115 (= _let_111 _let_114))) (let ((_let_116 (tptp.antidomain _let_27))) (let ((_let_117 (tptp.antidomain _let_116))) (let ((_let_118 (tptp.addition _let_117 _let_116))) (let ((_let_119 (= tptp.one _let_118))) (let ((_let_120 (tptp.domain _let_27))) (let ((_let_121 (= _let_117 _let_120))) (let ((_let_122 (tptp.domain (tptp.multiplication _let_22 (tptp.domain _let_25))))) (let ((_let_123 (= _let_94 _let_122))) (let ((_let_124 (= (tptp.forward_diamond _let_55 _let_57) (tptp.domain (tptp.multiplication _let_55 _let_83))))) (let ((_let_125 (= (tptp.addition _let_88 _let_27) (tptp.addition _let_27 _let_88)))) (let ((_let_126 (tptp.addition _let_111 _let_113))) (let ((_let_127 (= _let_114 _let_126))) (let ((_let_128 (tptp.addition _let_25 _let_94))) (let ((_let_129 (= (tptp.addition _let_94 _let_25) _let_128))) (let ((_let_130 (= _let_25 (tptp.addition _let_25 tptp.zero)))) (let ((_let_131 (= _let_94 (tptp.addition _let_94 tptp.zero)))) (let ((_let_132 (= _let_85 (tptp.multiplication _let_85 tptp.one)))) (let ((_let_133 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_134 (= _let_34 (tptp.multiplication tptp.one _let_34)))) (let ((_let_135 (tptp.multiplication _let_116 _let_34))) (let ((_let_136 (tptp.multiplication _let_117 _let_34))) (let ((_let_137 (tptp.addition _let_136 _let_135))) (let ((_let_138 (= (tptp.multiplication _let_118 _let_34) _let_137))) (let ((_let_139 (= tptp.zero (tptp.multiplication tptp.zero _let_21)))) (let ((_let_140 (tptp.antidomain (tptp.multiplication _let_105 _let_51)))) (let ((_let_141 (tptp.antidomain (tptp.multiplication _let_105 _let_31)))) (let ((_let_142 (tptp.addition _let_141 _let_140))) (let ((_let_143 (= _let_140 _let_142))) (let ((_let_144 (tptp.addition (tptp.forward_diamond _let_55 _let_83) _let_122))) (let ((_let_145 (= (tptp.addition _let_83 _let_144) (tptp.addition _let_144 _let_83)))) (let ((_let_146 (= (tptp.addition _let_89 (tptp.addition _let_39 _let_31)) (tptp.addition _let_91 _let_31)))) (let ((_let_147 (tptp.addition _let_39 _let_51))) (let ((_let_148 (= (tptp.addition _let_89 _let_147) (tptp.addition _let_91 _let_51)))) (let ((_let_149 (= _let_27 (tptp.addition _let_27 tptp.zero)))) (let ((_let_150 (= _let_116 (tptp.multiplication _let_116 tptp.one)))) (let ((_let_151 (= _let_117 (tptp.multiplication _let_117 tptp.one)))) (let ((_let_152 (= _let_116 (tptp.multiplication tptp.one _let_116)))) (let ((_let_153 (= _let_117 (tptp.multiplication tptp.one _let_117)))) (let ((_let_154 (tptp.multiplication _let_64 _let_135))) (let ((_let_155 (tptp.multiplication _let_64 _let_136))) (let ((_let_156 (tptp.addition _let_155 _let_154))) (let ((_let_157 (= (tptp.multiplication _let_64 _let_137) _let_156))) (let ((_let_158 (tptp.multiplication _let_107 _let_135))) (let ((_let_159 (tptp.multiplication _let_107 _let_136))) (let ((_let_160 (tptp.addition _let_159 _let_158))) (let ((_let_161 (= (tptp.multiplication _let_107 _let_137) _let_160))) (let ((_let_162 (tptp.multiplication _let_25 _let_21))) (let ((_let_163 (= (tptp.multiplication _let_89 _let_21) (tptp.addition (tptp.multiplication _let_88 _let_21) _let_162)))) (let ((_let_164 (tptp.multiplication _let_140 _let_116))) (let ((_let_165 (tptp.multiplication _let_141 _let_116))) (let ((_let_166 (tptp.addition _let_165 _let_164))) (let ((_let_167 (= (tptp.multiplication _let_142 _let_116) _let_166))) (let ((_let_168 (= tptp.zero (tptp.multiplication _let_117 tptp.zero)))) (let ((_let_169 (tptp.antidomain _let_120))) (let ((_let_170 (= tptp.zero (tptp.multiplication _let_169 _let_120)))) (let ((_let_171 (tptp.multiplication _let_85 _let_117))) (let ((_let_172 (tptp.antidomain _let_171))) (let ((_let_173 (tptp.antidomain (tptp.multiplication _let_85 _let_27)))) (let ((_let_174 (tptp.addition _let_173 _let_172))) (let ((_let_175 (= _let_172 _let_174))) (let ((_let_176 (tptp.antidomain _let_111))) (let ((_let_177 (tptp.addition _let_176 _let_111))) (let ((_let_178 (= tptp.one _let_177))) (let ((_let_179 (tptp.multiplication _let_27 _let_31))) (let ((_let_180 (tptp.antidomain _let_179))) (let ((_let_181 (= tptp.one (tptp.addition (tptp.antidomain _let_180) _let_180)))) (let ((_let_182 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_183 (= (tptp.addition _let_182 _let_60) (tptp.addition _let_60 _let_182)))) (let ((_let_184 (= _let_147 (tptp.addition _let_51 _let_39)))) (let ((_let_185 (tptp.addition _let_62 _let_94))) (let ((_let_186 (tptp.addition _let_94 _let_62))) (let ((_let_187 (= _let_186 _let_185))) (let ((_let_188 (= _let_156 (tptp.addition _let_154 _let_155)))) (let ((_let_189 (= _let_160 (tptp.addition _let_158 _let_159)))) (let ((_let_190 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_83))) (let ((_let_191 (tptp.addition _let_190 _let_25))) (let ((_let_192 (= _let_191 (tptp.addition _let_25 _let_190)))) (let ((_let_193 (tptp.addition _let_136 _let_155))) (let ((_let_194 (tptp.addition _let_193 _let_154))) (let ((_let_195 (= (tptp.addition _let_136 _let_156) _let_194))) (let ((_let_196 (tptp.addition _let_128 _let_62))) (let ((_let_197 (= (tptp.addition _let_25 _let_186) _let_196))) (let ((_let_198 (tptp.addition _let_83 _let_190))) (let ((_let_199 (tptp.addition _let_198 _let_25))) (let ((_let_200 (tptp.addition _let_83 _let_191))) (let ((_let_201 (= _let_200 _let_199))) (let ((_let_202 (= (tptp.addition _let_176 _let_126) (tptp.addition _let_177 _let_113)))) (let ((_let_203 (= _let_31 (tptp.addition _let_31 tptp.zero)))) (let ((_let_204 (= _let_51 (tptp.addition _let_51 tptp.zero)))) (let ((_let_205 (tptp.multiplication _let_169 _let_85))) (let ((_let_206 (= (tptp.multiplication _let_169 _let_171) (tptp.multiplication _let_205 _let_117)))) (let ((_let_207 (= (tptp.multiplication _let_107 _let_112) (tptp.multiplication _let_108 _let_34)))) (let ((_let_208 (tptp.multiplication _let_64 _let_107))) (let ((_let_209 (= (tptp.multiplication _let_64 (tptp.multiplication _let_107 _let_34)) (tptp.multiplication _let_208 _let_34)))) (let ((_let_210 (= _let_21 (tptp.multiplication _let_21 tptp.one)))) (let ((_let_211 (= _let_60 (tptp.multiplication _let_60 tptp.one)))) (let ((_let_212 (= _let_25 (tptp.multiplication _let_25 tptp.one)))) (let ((_let_213 (= _let_112 (tptp.multiplication _let_112 tptp.one)))) (let ((_let_214 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_215 (= _let_21 (tptp.multiplication tptp.one _let_21)))) (let ((_let_216 (= _let_27 (tptp.multiplication tptp.one _let_27)))) (let ((_let_217 (tptp.multiplication _let_107 _let_158))) (let ((_let_218 (tptp.multiplication _let_107 _let_159))) (let ((_let_219 (tptp.addition _let_218 _let_217))) (let ((_let_220 (= (tptp.multiplication _let_107 _let_160) _let_219))) (let ((_let_221 (= (tptp.multiplication _let_32 _let_48) (tptp.addition _let_41 (tptp.multiplication _let_32 _let_21))))) (let ((_let_222 (tptp.multiplication _let_173 _let_120))) (let ((_let_223 (= (tptp.multiplication _let_174 _let_120) (tptp.addition _let_222 (tptp.multiplication _let_172 _let_120))))) (let ((_let_224 (= (tptp.multiplication _let_166 _let_136) (tptp.addition (tptp.multiplication _let_165 _let_136) (tptp.multiplication _let_164 _let_136))))) (let ((_let_225 (tptp.antidomain (tptp.multiplication _let_85 _let_35)))) (let ((_let_226 (tptp.antidomain (tptp.multiplication _let_85 _let_26)))) (let ((_let_227 (tptp.addition _let_226 _let_225))) (let ((_let_228 (= _let_225 _let_227))) (let ((_let_229 (tptp.antidomain (tptp.multiplication _let_21 _let_86)))) (let ((_let_230 (tptp.antidomain (tptp.multiplication _let_21 _let_54)))) (let ((_let_231 (tptp.addition _let_230 _let_229))) (let ((_let_232 (= _let_229 _let_231))) (let ((_let_233 (= _let_190 (tptp.domain (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.domain _let_83)))))) (let ((_let_234 (= (tptp.forward_diamond _let_60 _let_57) (tptp.domain (tptp.multiplication _let_60 _let_83))))) (let ((_let_235 (= _let_95 (tptp.addition _let_83 _let_95)))) (let ((_let_236 (= (tptp.addition _let_39 _let_136) (tptp.addition 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(_let_5))) (let ((_let_268 (ASSUME :args _let_267))) (let ((_let_269 ((tptp.domain X0)))) (let ((_let_270 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_268 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_267)) _let_268 :args (_let_33 false _let_5)))) (let ((_let_271 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_263)) :args _let_261)) _let_262 :args (_let_40 false _let_4)))) (let ((_let_272 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_273 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_274 (_let_272))) (let ((_let_275 ((tptp.antidomain X0)))) (let ((_let_276 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (_let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_275)) :args _let_274)) _let_273 :args (_let_42 false _let_272)))) (let ((_let_277 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_275)) :args _let_274)) _let_273 :args (_let_43 false _let_272)))) (let ((_let_278 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= _let_1 (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1)))))) (let ((_let_279 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_280 (_let_278))) (let ((_let_281 ((tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (let ((_let_282 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args (_let_22 _let_21 QUANTIFIERS_INST_E_MATCHING _let_281)) :args _let_280)) _let_279 :args (_let_47 false _let_278)))) (let ((_let_283 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_284 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_285 (_let_283))) (let ((_let_286 ((tptp.antidomain (tptp.antidomain X0))))) (let ((_let_287 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_284 :args (_let_21 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_285)) _let_284 :args (_let_50 false _let_283)))) (let ((_let_288 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_268 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_267)) _let_268 :args (_let_56 false _let_5)))) (let ((_let_289 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_268 :args (_let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_267)) _let_268 :args (_let_59 false _let_5)))) (let ((_let_290 ((tptp.antidomain (tptp.antidomain X0))))) (let ((_let_291 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_268 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_290)) :args _let_267))) _let_268 :args (_let_61 false _let_5)))) (let ((_let_292 (_let_18))) (let ((_let_293 (ASSUME :args _let_292))) (let ((_let_294 ((tptp.addition A B)))) (let ((_let_295 (_let_12))) (let ((_let_296 (ASSUME :args _let_295))) (let ((_let_297 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_298 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (_let_35 _let_45 _let_44 QUANTIFIERS_INST_E_MATCHING _let_297)) :args _let_295)) _let_296 :args (_let_71 false _let_12)))) (let ((_let_299 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING _let_281)) :args _let_280)) _let_279 :args (_let_76 false _let_278)))) (let ((_let_300 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args (_let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_193 _let_154 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_238 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_128 _let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_237 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_39 _let_136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_236 false _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_355)) :args ((or _let_354 _let_235 (not _let_355)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_392)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_483 _let_505 _let_502 _let_512 _let_410 _let_395 _let_453 _let_498 _let_449 _let_432 _let_480 _let_434 _let_532 _let_446 _let_416 _let_413 _let_510 _let_426 _let_463 _let_507 _let_525 _let_495 _let_405 _let_521 _let_440 _let_527 _let_429 _let_492 _let_442 _let_519 _let_478 _let_399 _let_402 _let_420 _let_460) (SCOPE (TRANS _let_433 (SYMM _let_501) _let_504 (SYMM _let_531) _let_533 _let_444 _let_490 _let_455 (CONG (SYMM _let_469) (TRANS _let_449 _let_472 _let_470 _let_456 _let_452 _let_445 _let_428 _let_425 _let_423 _let_419 _let_462 _let_458) :args _let_393) (CONG (TRANS _let_468 (SYMM _let_431)) (TRANS _let_467 _let_466 _let_409 _let_422 _let_465 _let_427 (SYMM _let_533) _let_531 (SYMM _let_504) _let_501 (SYMM _let_433)) :args _let_393) (CONG (TRANS _let_431 (TRANS _let_417 _let_415 _let_409 _let_397)) _let_394 :args _let_393)) :args (_let_203 _let_93 _let_146 _let_33 _let_20 _let_84 _let_99 _let_90 _let_76 _let_192 _let_61 _let_233 _let_50 _let_56 _let_78 _let_42 _let_43 _let_81 _let_97 _let_100 _let_102 _let_130 _let_30 _let_71 _let_132 _let_98 _let_181 _let_183 _let_82 _let_47 _let_214 _let_59 _let_40 _let_101 _let_103))) :args (_let_20 _let_30 _let_33 _let_40 _let_42 _let_43 _let_47 _let_50 _let_56 _let_59 _let_61 _let_71 _let_76 _let_78 _let_81 _let_82 _let_84 _let_90 _let_93 _let_97 _let_98 _let_99 _let_100 _let_101 _let_102 _let_103 _let_130 _let_132 _let_146 _let_181 _let_183 _let_192 _let_203 _let_214 _let_233))) :args (true _let_392)) :args ((or _let_252 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_353 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358))) _let_260 _let_266 _let_270 _let_271 _let_276 _let_277 _let_282 _let_287 _let_288 _let_289 _let_291 _let_298 _let_299 _let_300 _let_301 _let_302 _let_303 _let_304 _let_305 _let_306 _let_307 _let_311 _let_312 _let_317 _let_318 _let_323 _let_329 _let_334 _let_343 _let_344 _let_345 _let_346 _let_347 _let_351 _let_352 :args (_let_353 false _let_20 false _let_30 false _let_33 false _let_40 false _let_42 false _let_43 false _let_47 false _let_50 false _let_56 false _let_59 false _let_61 false _let_71 false _let_76 false _let_78 false _let_81 false _let_82 false _let_84 false _let_90 false _let_93 false _let_97 false _let_98 false _let_99 false _let_100 false _let_101 false _let_102 false _let_103 false _let_130 false _let_132 false _let_146 false _let_181 false _let_183 false _let_192 false _let_203 false _let_214 false _let_233)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (_let_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.domain X0) (tptp.addition (tptp.divergence X1) (tptp.forward_diamond (tptp.star X1) (tptp.domain X2))))))) :args (_let_356))) _let_357 :args (_let_355 false _let_356)) :args (_let_235 false _let_353 false _let_355)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 :args (_let_60 _let_57 QUANTIFIERS_INST_E_MATCHING _let_328)) :args _let_261)) _let_262 :args (_let_234 false _let_4)) _let_352 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args (_let_21 _let_54 QUANTIFIERS_INST_E_MATCHING _let_281)) :args _let_280)) _let_279 :args (_let_232 false _let_278)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args (_let_85 _let_26 QUANTIFIERS_INST_E_MATCHING _let_281)) :args _let_280)) _let_279 :args (_let_228 false _let_278)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_340 :args (_let_165 _let_164 _let_136 QUANTIFIERS_INST_E_MATCHING _let_341)) :args _let_339)) _let_340 :args (_let_224 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_340 :args (_let_173 _let_172 _let_120 QUANTIFIERS_INST_E_MATCHING _let_341)) :args _let_339)) _let_340 :args (_let_223 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (_let_32 _let_31 _let_21 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication 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_let_332)) _let_331 :args (_let_212 false _let_330)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_331 :args (_let_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_333)) :args _let_332)) _let_331 :args (_let_211 false _let_330)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_331 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_333)) :args _let_332)) _let_331 :args (_let_210 false _let_330)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_349 :args (_let_64 _let_107 _let_34 QUANTIFIERS_INST_E_MATCHING _let_350)) :args _let_348)) _let_349 :args (_let_209 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_349 :args (_let_107 _let_64 _let_34 QUANTIFIERS_INST_E_MATCHING _let_350)) :args _let_348)) _let_349 :args (_let_207 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_349 :args (_let_169 _let_85 _let_117 QUANTIFIERS_INST_E_MATCHING _let_350)) :args _let_348)) _let_349 :args (_let_206 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_314 :args (_let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_316)) :args _let_315)) _let_314 :args (_let_204 false _let_313)) _let_347 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_309 :args (_let_113 _let_111 _let_176 QUANTIFIERS_INST_E_MATCHING _let_310)) :args _let_308)) _let_309 :args (_let_202 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_309 :args (_let_25 _let_190 _let_83 QUANTIFIERS_INST_E_MATCHING _let_310)) :args _let_308)) _let_309 :args (_let_201 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_309 :args (_let_62 _let_94 _let_25 QUANTIFIERS_INST_E_MATCHING _let_310)) :args _let_308)) _let_309 :args (_let_197 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_309 :args (_let_154 _let_155 _let_136 QUANTIFIERS_INST_E_MATCHING _let_310)) :args _let_308)) _let_309 :args (_let_195 false _let_17)) _let_346 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_159 _let_158 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_189 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_155 _let_154 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_188 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_94 _let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_187 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_39 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_184 false _let_18)) _let_345 _let_344 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_284 :args (_let_110 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_285)) _let_284 :args (_let_178 false _let_283)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args (_let_85 _let_27 QUANTIFIERS_INST_E_MATCHING _let_281)) :args _let_280)) _let_279 :args (_let_175 false _let_278)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (_let_120 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_275)) :args _let_274)) _let_273 :args (_let_170 false _let_272)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_320 :args (_let_117 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_322)) :args _let_321)) _let_320 :args (_let_168 false _let_319)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_340 :args (_let_141 _let_140 _let_116 QUANTIFIERS_INST_E_MATCHING _let_341)) :args _let_339)) _let_340 :args (_let_167 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_340 :args (_let_88 _let_25 _let_21 QUANTIFIERS_INST_E_MATCHING _let_341)) :args _let_339)) _let_340 :args (_let_163 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (_let_107 _let_136 _let_135 QUANTIFIERS_INST_E_MATCHING _let_297)) :args _let_295)) _let_296 :args (_let_161 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (_let_64 _let_136 _let_135 QUANTIFIERS_INST_E_MATCHING _let_297)) :args _let_295)) _let_296 :args (_let_157 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_336 :args (_let_117 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)) _let_336 :args (_let_153 false _let_335)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_336 :args (_let_116 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)) _let_336 :args (_let_152 false _let_335)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_331 :args (_let_117 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_333)) :args _let_332)) _let_331 :args (_let_151 false _let_330)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_331 :args 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_327)) :args _let_326)) _let_325 :args (_let_139 false _let_324)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_340 :args (_let_117 _let_116 _let_34 QUANTIFIERS_INST_E_MATCHING _let_341)) :args _let_339)) _let_340 :args (_let_138 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_336 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)) _let_336 :args (_let_134 false _let_335)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_336 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)) _let_336 :args (_let_133 false _let_335)) _let_334 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_314 :args (_let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_316)) :args _let_315)) _let_314 :args (_let_131 false _let_313)) _let_329 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_94 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_129 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_113 _let_111 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_127 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_88 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_125 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 :args (_let_55 _let_57 QUANTIFIERS_INST_E_MATCHING _let_328)) :args _let_261)) _let_262 :args (_let_124 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 :args (_let_22 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_263)) :args _let_261)) _let_262 :args (_let_123 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_268 :args (_let_27 QUANTIFIERS_INST_E_MATCHING _let_290)) :args _let_267))) _let_268 :args (_let_121 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_284 :args (_let_27 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_285)) _let_284 :args (_let_119 false _let_283)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args (_let_64 _let_34 QUANTIFIERS_INST_E_MATCHING _let_281)) :args _let_280)) _let_279 :args (_let_115 false _let_278)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (_let_64 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_275)) :args _let_274)) _let_273 :args (_let_109 false _let_272)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (_let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_275)) :args _let_274)) _let_273 :args (_let_106 false _let_272)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_327)) :args _let_326)) _let_325 :args (_let_104 false _let_324)) _let_323 _let_318 _let_317 _let_312 _let_311 _let_307 _let_306 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_19 _let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_96 false _let_18)) _let_305 _let_304 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_268 :args (_let_54 QUANTIFIERS_INST_E_MATCHING _let_290)) :args _let_267))) _let_268 :args (_let_87 false _let_5)) _let_303 _let_302 _let_301 _let_300 _let_299 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (_let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_275)) :args _let_274)) _let_273 :args (_let_72 false _let_272)) _let_298 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_293 :args (_let_51 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_294)) :args _let_292)) _let_293 :args (_let_67 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_268 :args (_let_34 QUANTIFIERS_INST_E_MATCHING _let_290)) :args _let_267))) _let_268 :args (_let_66 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_268 :args (_let_31 QUANTIFIERS_INST_E_MATCHING _let_290)) :args _let_267))) _let_268 :args (_let_63 false _let_5)) _let_291 _let_289 _let_288 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_284 :args (_let_31 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_285)) _let_284 :args (_let_53 false _let_283)) _let_287 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_284 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_285)) _let_284 :args (_let_49 false _let_283)) _let_282 _let_277 _let_276 _let_271 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_268 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_267)) _let_268 :args (_let_36 false _let_5)) _let_270 _let_266 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 :args (_let_22 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_263)) :args _let_261)) _let_262 :args (_let_28 false _let_4)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_253 1)) _let_259 :args ((not _let_24) true _let_253)) _let_260 :args (false false _let_251 false _let_249 false _let_248 false _let_247 false _let_246 false _let_245 false _let_244 false _let_243 false _let_242 false _let_241 false _let_240 false _let_239 false _let_238 false _let_237 false _let_236 false _let_235 false _let_234 false _let_233 false _let_232 false _let_228 false _let_224 false _let_223 false _let_221 false _let_220 false _let_216 false _let_215 false _let_214 false _let_213 false _let_212 false _let_211 false _let_210 false _let_209 false _let_207 false _let_206 false _let_204 false _let_203 false _let_202 false _let_201 false _let_197 false _let_195 false _let_192 false _let_189 false _let_188 false _let_187 false _let_184 false _let_183 false _let_181 false _let_178 false _let_175 false _let_170 false _let_168 false _let_167 false _let_163 false _let_161 false _let_157 false _let_153 false _let_152 false _let_151 false _let_150 false _let_149 false _let_148 false _let_146 false _let_145 false _let_143 false _let_139 false _let_138 false _let_134 false _let_133 false _let_132 false _let_131 false _let_130 false _let_129 false _let_127 false _let_125 false _let_124 false _let_123 false _let_121 false _let_119 false _let_115 false _let_109 false _let_106 false _let_104 false _let_103 false _let_102 false _let_101 false _let_100 false _let_99 false _let_98 false _let_97 false _let_96 false _let_93 false _let_90 false _let_87 false _let_84 false _let_82 false _let_81 false _let_78 false _let_76 false _let_72 false _let_71 false _let_67 false _let_66 false _let_63 false _let_61 false _let_59 false _let_56 false _let_53 false _let_50 false _let_49 false _let_47 false _let_43 false _let_42 false _let_40 false _let_36 false _let_33 false _let_30 false _let_28 true _let_24 false _let_20)) :args (_let_18 _let_17 _let_16 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_8 _let_7 _let_6 _let_5 (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))) (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))) (forall ((X0 $$unsorted)) (= (tptp.c X0) (tptp.antidomain (tptp.domain X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain_difference X0 X1) (tptp.multiplication (tptp.domain X0) (tptp.antidomain X1)))) _let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.backward_diamond X0 X1) (tptp.codomain (tptp.multiplication (tptp.codomain X1) X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_box X0 X1) (tptp.c (tptp.forward_diamond X0 (tptp.c X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.backward_box X0 X1) (tptp.c (tptp.backward_diamond X0 (tptp.c X1))))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 6.44/6.65  )
% 6.44/6.65  % SZS output end Proof for KLE135+1
% 6.44/6.65  % cvc5---1.0.5 exiting
% 6.44/6.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------