%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE081+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 05:27:12 EDT 2023

% Result   : Theorem 0.61s 0.79s
% Output   : Proof 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : KLE081+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 29 12:38:46 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.18/0.42  %----Proving TF0_NAR, FOF, or CNF
% 0.61/0.79  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1fFkFw5xz4/cvc5---1.0.5_30304.p...
% 0.61/0.79  ------- get file name : TPTP file name is KLE081+1
% 0.61/0.79  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30304.smt2...
% 0.61/0.79  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.61/0.79  % SZS status Theorem for KLE081+1
% 0.61/0.79  % SZS output start Proof for KLE081+1
% 0.61/0.79  (
% 0.61/0.79  (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) 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.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (= tptp.zero _let_21))) (let ((_let_23 (tptp.multiplication _let_3 tptp.zero))) (let ((_let_24 (= _let_23 (tptp.addition tptp.zero _let_23)))) (let ((_let_25 (tptp.addition _let_3 tptp.one))) (let ((_let_26 (= tptp.one _let_25))) (let ((_let_27 (tptp.antidomain tptp.zero))) (let ((_let_28 (tptp.addition _let_3 _let_27))) (let ((_let_29 (= tptp.one _let_28))) (let ((_let_30 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (tptp.addition _let_30 _let_20))) (let ((_let_32 (= tptp.one _let_31))) (let ((_let_33 (= tptp.zero (tptp.multiplication _let_30 _let_20)))) (let ((_let_34 (= _let_25 (tptp.addition tptp.one _let_3)))) (let ((_let_35 (= _let_28 (tptp.addition _let_27 _let_3)))) (let ((_let_36 (tptp.addition _let_3 _let_30))) (let ((_let_37 (tptp.addition _let_36 _let_20))) (let ((_let_38 (= (tptp.addition _let_3 _let_31) _let_37))) (let ((_let_39 (= tptp.zero _let_23))) (let ((_let_40 (tptp.multiplication _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40))) (let ((_let_42 (= _let_40 _let_41))) (let ((_let_43 (= _let_41 (tptp.addition _let_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_44 (= _let_36 (tptp.addition _let_30 _let_3)))) (let ((_let_45 (tptp.addition _let_20 _let_3))) (let ((_let_46 (tptp.addition _let_36 _let_45))) (let ((_let_47 (= _let_46 (tptp.addition _let_37 _let_3)))) (let ((_let_48 (= _let_27 (tptp.addition _let_27 tptp.zero)))) (let ((_let_49 (tptp.multiplication _let_20 tptp.zero))) (let ((_let_50 (= tptp.zero _let_49))) (let ((_let_51 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (tptp.domain _let_51))) (let ((_let_53 (= _let_36 _let_52))) (let ((_let_54 (= _let_45 (tptp.addition _let_3 _let_20)))) (let ((_let_55 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_56 (= _let_51 _let_55))) (let ((_let_57 (= _let_20 (tptp.addition _let_20 tptp.zero)))) (let ((_let_58 (= _let_30 (tptp.addition _let_30 tptp.zero)))) (let ((_let_59 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_59))) (let ((_let_61 (tptp.addition _let_30 _let_30))) (let ((_let_62 (= _let_30 _let_61))) (let ((_let_63 (tptp.multiplication _let_20 _let_27))) (let ((_let_64 (tptp.addition _let_63 _let_63))) (let ((_let_65 (= _let_63 _let_64))) (let ((_let_66 (tptp.multiplication _let_20 _let_20))) (let ((_let_67 (tptp.multiplication _let_66 tptp.zero))) (let ((_let_68 (= (tptp.multiplication _let_20 _let_49) _let_67))) (let ((_let_69 (= _let_20 (tptp.multiplication _let_20 tptp.one)))) (let ((_let_70 (= (tptp.multiplication _let_20 _let_46) (tptp.addition (tptp.multiplication _let_20 _let_36) (tptp.multiplication _let_20 _let_45))))) (let ((_let_71 (tptp.addition _let_27 _let_27))) (let ((_let_72 (= _let_64 (tptp.multiplication _let_20 _let_71)))) (let ((_let_73 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_74 (tptp.antidomain _let_51))) (let ((_let_75 (tptp.addition _let_52 _let_74))) (let ((_let_76 (= tptp.one _let_75))) (let ((_let_77 (tptp.multiplication _let_52 _let_74))) (let ((_let_78 (= tptp.zero _let_77))) (let ((_let_79 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55))) (let ((_let_80 (= _let_27 _let_71))) (let ((_let_81 (= (tptp.multiplication _let_20 _let_77) (tptp.multiplication (tptp.multiplication _let_20 _let_52) _let_74)))) (let ((_let_82 (tptp.multiplication _let_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (= (tptp.multiplication _let_52 _let_82) (tptp.multiplication _let_77 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_84 (= _let_27 (tptp.multiplication _let_27 tptp.one)))) (let ((_let_85 (= _let_30 (tptp.multiplication _let_30 tptp.one)))) (let ((_let_86 (= (tptp.multiplication _let_30 _let_59) (tptp.addition _let_40 _let_40)))) (let ((_let_87 (tptp.multiplication _let_27 _let_74))) (let ((_let_88 (tptp.multiplication _let_27 _let_52))) (let ((_let_89 (tptp.addition _let_88 _let_87))) (let ((_let_90 (= (tptp.multiplication _let_27 _let_75) _let_89))) (let ((_let_91 (tptp.multiplication _let_30 _let_30))) (let ((_let_92 (= (tptp.multiplication _let_30 _let_61) (tptp.addition _let_91 _let_91)))) (let ((_let_93 (tptp.multiplication _let_30 _let_52))) (let ((_let_94 (= (tptp.multiplication _let_30 _let_75) (tptp.addition _let_93 (tptp.multiplication _let_30 _let_74))))) (let ((_let_95 (tptp.multiplication _let_63 _let_45))) (let ((_let_96 (tptp.multiplication _let_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_97 (tptp.multiplication _let_63 _let_36))) (let ((_let_98 (tptp.multiplication _let_97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_99 (tptp.addition _let_98 _let_96))) (let ((_let_100 (tptp.addition _let_97 _let_95))) (let ((_let_101 (= (tptp.multiplication _let_100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_99))) (let ((_let_102 (tptp.multiplication _let_95 _let_45))) (let ((_let_103 (tptp.multiplication _let_97 _let_45))) (let ((_let_104 (tptp.addition _let_103 _let_102))) (let ((_let_105 (= (tptp.multiplication _let_100 _let_45) _let_104))) (let ((_let_106 (tptp.multiplication _let_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_107 (tptp.domain _let_106))) (let ((_let_108 (= _let_107 (tptp.domain (tptp.multiplication _let_63 _let_30))))) (let ((_let_109 (tptp.addition _let_97 _let_30))) (let ((_let_110 (= (tptp.addition _let_30 _let_97) _let_109))) (let ((_let_111 (= _let_99 (tptp.addition _let_96 _let_98)))) (let ((_let_112 (= (tptp.addition _let_3 _let_104) (tptp.addition (tptp.addition _let_3 _let_103) _let_102)))) (let ((_let_113 (= _let_93 (tptp.addition _let_93 tptp.zero)))) (let ((_let_114 (= (tptp.multiplication _let_74 _let_91) (tptp.multiplication (tptp.multiplication _let_74 _let_30) _let_30)))) (let ((_let_115 (= _let_98 (tptp.multiplication _let_63 (tptp.multiplication _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_116 (= _let_52 (tptp.multiplication tptp.one _let_52)))) (let ((_let_117 (= _let_74 (tptp.multiplication tptp.one _let_74)))) (let ((_let_118 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_119 (tptp.multiplication _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_120 (= (tptp.multiplication _let_20 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_119)) (tptp.addition _let_21 (tptp.multiplication _let_20 _let_119))))) (let ((_let_121 (= (tptp.multiplication _let_66 (tptp.addition tptp.zero _let_45)) (tptp.addition _let_67 (tptp.multiplication _let_66 _let_45))))) (let ((_let_122 (= (tptp.multiplication _let_89 _let_74) (tptp.addition (tptp.multiplication _let_88 _let_74) (tptp.multiplication _let_87 _let_74))))) (let ((_let_123 (= (tptp.multiplication _let_89 _let_52) (tptp.addition (tptp.multiplication _let_88 _let_52) (tptp.multiplication _let_87 _let_52))))) (let ((_let_124 (tptp.multiplication _let_87 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_125 (tptp.multiplication _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_126 (tptp.addition _let_125 _let_124))) (let ((_let_127 (= (tptp.multiplication _let_89 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_126))) (let ((_let_128 (tptp.multiplication _let_107 _let_106))) (let ((_let_129 (tptp.addition _let_106 _let_128))) (let ((_let_130 (= _let_128 _let_129))) (let ((_let_131 (= (tptp.domain _let_98) (tptp.domain (tptp.multiplication _let_97 _let_30))))) (let ((_let_132 (= (tptp.domain (tptp.multiplication _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.domain (tptp.multiplication _let_27 _let_30))))) (let ((_let_133 (tptp.antidomain _let_106))) (let ((_let_134 (tptp.addition _let_107 _let_133))) (let ((_let_135 (= tptp.one _let_134))) (let ((_let_136 (= _let_129 (tptp.addition _let_128 _let_106)))) (let ((_let_137 (= (tptp.addition _let_40 _let_126) (tptp.addition (tptp.addition _let_40 _let_125) _let_124)))) (let ((_let_138 (= (tptp.multiplication _let_27 _let_21) (tptp.multiplication (tptp.multiplication _let_27 _let_20) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_139 (= (tptp.multiplication _let_107 (tptp.addition _let_21 _let_98)) (tptp.addition (tptp.multiplication _let_107 _let_21) (tptp.multiplication _let_107 _let_98))))) (let ((_let_140 (tptp.multiplication _let_133 _let_82))) (let ((_let_141 (tptp.multiplication _let_107 _let_82))) (let ((_let_142 (tptp.addition _let_141 _let_140))) (let ((_let_143 (= (tptp.multiplication _let_134 _let_82) _let_142))) (let ((_let_144 (tptp.domain _let_30))) (let ((_let_145 (tptp.domain _let_97))) (let ((_let_146 (tptp.addition _let_145 _let_144))) (let ((_let_147 (= (tptp.domain _let_109) _let_146))) (let ((_let_148 (= (tptp.addition _let_128 _let_142) (tptp.addition (tptp.addition _let_128 _let_141) _let_140)))) (let ((_let_149 (= (tptp.multiplication _let_146 _let_82) (tptp.addition (tptp.multiplication _let_145 _let_82) (tptp.multiplication _let_144 _let_82))))) (let ((_let_150 (SYMM (ASSUME :args (_let_4))))) (let ((_let_151 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_152 (not _let_22))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (or))) (let ((_let_155 (_let_152))) (let ((_let_156 (not _let_151))) (let ((_let_157 (_let_156))) (let ((_let_158 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_159 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_160 (_let_158))) (let ((_let_161 ((tptp.domain X0)))) (let ((_let_162 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_163 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_164 (forall ((BOUND_VARIABLE_757 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain BOUND_VARIABLE_757) (tptp.antidomain BOUND_VARIABLE_757)))))) (let ((_let_165 (NOT_NOT_ELIM (NOT_OR_ELIM _let_153 :args (0))))) (let ((_let_166 (_let_164))) (let ((_let_167 ((tptp.domain BOUND_VARIABLE_757)))) (let ((_let_168 (ASSUME :args _let_166))) (let ((_let_169 (forall ((BOUND_VARIABLE_765 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.domain BOUND_VARIABLE_765) (tptp.antidomain BOUND_VARIABLE_765)))))) (let ((_let_170 (NOT_NOT_ELIM (NOT_OR_ELIM _let_153 :args (1))))) (let ((_let_171 (_let_169))) (let ((_let_172 (ASSUME :args _let_171))) (let ((_let_173 (_let_18))) (let ((_let_174 (ASSUME :args _let_173))) (let ((_let_175 ((tptp.addition A B)))) (let ((_let_176 (_let_17))) (let ((_let_177 (ASSUME :args _let_176))) (let ((_let_178 ((tptp.addition A (tptp.addition B C))))) (let ((_let_179 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_180 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_181 (_let_179))) (let ((_let_182 ((not (= (tptp.multiplication A tptp.zero) tptp.zero))))) (let ((_let_183 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_184 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_185 (_let_183))) (let ((_let_186 ((tptp.addition A tptp.zero)))) (let ((_let_187 (_let_2))) (let ((_let_188 (ASSUME :args 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A))))) (let ((_let_205 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_206 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_207 (_let_10))) (let ((_let_208 (ASSUME :args _let_207))) (let ((_let_209 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_210 (_let_6))) (let ((_let_211 (ASSUME :args _let_210))) (let ((_let_212 ((tptp.multiplication X0 (tptp.domain X1))))) (let ((_let_213 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_214 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_215 (_let_213))) (let ((_let_216 ((tptp.multiplication tptp.one A)))) (let ((_let_217 (and _let_19 _let_152 _let_24 _let_26 _let_29 _let_32 _let_33 _let_34 _let_35 _let_38 _let_39 _let_42 _let_43 _let_44 _let_47 _let_48 _let_50 _let_53 _let_54 _let_56 _let_57 _let_58 _let_60 _let_62 _let_65 _let_68 _let_69 _let_70 _let_72 _let_73 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_let_72 _let_73 _let_76 _let_78 _let_79 _let_80 _let_81 _let_83 _let_84 _let_85 _let_86 _let_90 _let_92 _let_94 _let_101 _let_105 _let_108 _let_110 _let_111 _let_112 _let_113 _let_114 _let_115 _let_116 _let_117 _let_118 _let_120 _let_121 _let_122 _let_123 _let_127 _let_130 _let_131 _let_132 _let_135 _let_136 _let_137 _let_138 _let_139 _let_143 _let_147 _let_148))) :args (true _let_217)) (CONG (REFL :args ((not _let_19))) (MACRO_SR_PRED_INTRO :args ((= (not _let_152) _let_22))) (REFL :args ((not _let_24))) (REFL :args ((not _let_26))) (REFL :args ((not _let_29))) (REFL :args ((not _let_32))) (REFL :args ((not _let_33))) (REFL :args ((not _let_34))) (REFL :args ((not _let_35))) (REFL :args ((not _let_38))) (REFL :args ((not _let_39))) (REFL :args ((not _let_42))) (REFL :args ((not _let_43))) (REFL :args ((not _let_44))) (REFL :args ((not _let_47))) (REFL :args ((not _let_48))) (REFL :args ((not _let_50))) (REFL :args ((not _let_53))) (REFL :args ((not _let_54))) (REFL :args ((not 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:args (_let_97 _let_30 QUANTIFIERS_INST_E_MATCHING ((tptp.domain (tptp.addition X0 X1))))) :args _let_187)) _let_188 :args (_let_147 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_208 :args (_let_107 _let_133 _let_82 QUANTIFIERS_INST_E_MATCHING _let_209)) :args _let_207)) _let_208 :args (_let_143 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args (_let_107 _let_21 _let_98 QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_200)) _let_201 :args (_let_139 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_27 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_195)) :args _let_193)) _let_194 :args (_let_138 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_124 _let_125 _let_40 QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_176)) _let_177 :args (_let_137 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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(SCOPE (INSTANTIATE _let_208 :args (_let_88 _let_87 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_209)) :args _let_207)) _let_208 :args (_let_127 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_208 :args (_let_88 _let_87 _let_52 QUANTIFIERS_INST_E_MATCHING _let_209)) :args _let_207)) _let_208 :args (_let_123 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_208 :args (_let_88 _let_87 _let_74 QUANTIFIERS_INST_E_MATCHING _let_209)) :args _let_207)) _let_208 :args (_let_122 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args (_let_66 tptp.zero _let_45 QUANTIFIERS_INST_E_MATCHING _let_203)) :args _let_200)) _let_201 :args (_let_121 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_119 QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_200)) _let_201 :args (_let_120 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_216)) :args _let_215)) _let_214 :args (_let_118 false _let_213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (_let_74 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_216)) :args _let_215)) _let_214 :args (_let_117 false _let_213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (_let_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_216)) :args _let_215)) _let_214 :args (_let_116 false _let_213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_63 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_206)) :args _let_193))) _let_194 :args (_let_115 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_74 _let_30 _let_30 QUANTIFIERS_INST_E_MATCHING _let_195)) :args _let_193)) _let_194 :args 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_let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args (_let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_200)) _let_201 :args (_let_86 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_199)) :args _let_198)) _let_197 :args (_let_85 false _let_196)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_199)) :args _let_198)) _let_197 :args (_let_84 false _let_196)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_52 _let_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_206)) :args _let_193)) _let_194 :args (_let_83 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_20 _let_52 _let_74 QUANTIFIERS_INST_E_MATCHING _let_195)) :args _let_193)) _let_194 :args (_let_81 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_192)) :args _let_191)) _let_190 :args (_let_80 false _let_189)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_185)) _let_184 :args (_let_79 false _let_183)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (_let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain BOUND_VARIABLE_765)))) :args _let_171)) _let_170 :args (_let_78 false _let_169)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_166)) _let_165 :args (_let_76 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) :args (_let_204))) _let_205 :args (_let_73 false _let_204)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_201 :args (_let_20 _let_27 _let_27 QUANTIFIERS_INST_E_MATCHING _let_203)) :args _let_200))) _let_201 :args (_let_72 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args (_let_20 _let_36 _let_45 QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_200)) _let_201 :args (_let_70 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_199)) :args _let_198)) _let_197 :args (_let_69 false _let_196)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_20 _let_20 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_195)) :args _let_193)) _let_194 :args (_let_68 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_63 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_56 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_20 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_54 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_188 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.domain X0) (tptp.domain X1))))) :args _let_187))) _let_188 :args (_let_53 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_182)) :args _let_181)) _let_180 :args (_let_50 false _let_179)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_185)) _let_184 :args (_let_48 false _let_183)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_3 _let_20 _let_36 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.addition A B) C)))) :args _let_176)) _let_177 :args (_let_47 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_3 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_44 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_43 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_42 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_182)) :args _let_181)) _let_180 :args (_let_39 false _let_179)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_20 _let_30 _let_3 QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_176)) _let_177 :args (_let_38 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_3 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_35 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_3 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_34 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.antidomain BOUND_VARIABLE_765)))) :args _let_171)) _let_170 :args (_let_33 false _let_169)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.antidomain BOUND_VARIABLE_757)))) :args _let_166)) _let_165 :args (_let_32 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_166)) _let_165 :args (_let_29 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X0)))) :args (_let_162))) _let_163 :args (_let_26 false _let_162)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_161)) :args _let_160)) _let_159 :args (_let_24 false _let_158)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_157)) :args _let_157)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_156) _let_151))) (REFL :args _let_155) :args _let_154)) (NOT_OR_ELIM _let_153 :args (2)) :args (_let_152 true _let_151)) _let_150 :args (false false _let_149 false _let_148 false _let_147 false _let_143 false _let_139 false _let_138 false _let_137 false _let_136 false _let_135 false _let_132 false _let_131 false _let_130 false _let_127 false _let_123 false _let_122 false _let_121 false _let_120 false _let_118 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_112 false _let_111 false _let_110 false _let_108 false _let_105 false _let_101 false _let_94 false _let_92 false _let_90 false _let_86 false _let_85 false _let_84 false _let_83 false _let_81 false _let_80 false _let_79 false _let_78 false _let_76 false _let_73 false _let_72 false _let_70 false _let_69 false _let_68 false _let_65 false _let_62 false _let_60 false _let_58 false _let_57 false _let_56 false _let_54 false _let_53 false _let_50 false _let_48 false _let_47 false _let_44 false _let_43 false _let_42 false _let_39 false _let_38 false _let_35 false _let_34 false _let_33 false _let_32 false _let_29 false _let_26 false _let_24 true _let_22 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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.61/0.80  )
% 0.61/0.80  % SZS output end Proof for KLE081+1
% 0.61/0.80  % cvc5---1.0.5 exiting
% 0.61/0.80  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------