%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE042+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 05:27:02 EDT 2023

% Result   : Theorem 1.47s 1.68s
% Output   : Proof 1.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : KLE042+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 12:22:02 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 1.47/1.68  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UcgJcCVgX1/cvc5---1.0.5_8256.p...
% 1.47/1.68  ------- get file name : TPTP file name is KLE042+2
% 1.47/1.68  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8256.smt2...
% 1.47/1.68  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.47/1.68  % SZS status Theorem for KLE042+2
% 1.47/1.68  % SZS output start Proof for KLE042+2
% 1.47/1.68  (
% 1.47/1.68  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.star (tptp.multiplication X0 X1)) X0))) (let ((_let_2 (tptp.multiplication X0 (tptp.star (tptp.multiplication X1 X0))))) (and (tptp.leq _let_1 _let_2) (tptp.leq _let_2 _let_1)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) A) (tptp.leq (tptp.multiplication C (tptp.star B)) A))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) B) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_13 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_15 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.star _let_15))) (let ((_let_17 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (tptp.leq (tptp.multiplication (tptp.star _let_18) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_17))) (let ((_let_20 (forall ((BOUND_VARIABLE_751 $$unsorted) (BOUND_VARIABLE_753 $$unsorted)) (tptp.leq (tptp.multiplication (tptp.star (tptp.multiplication BOUND_VARIABLE_751 BOUND_VARIABLE_753)) BOUND_VARIABLE_751) (tptp.multiplication BOUND_VARIABLE_751 (tptp.star (tptp.multiplication BOUND_VARIABLE_753 BOUND_VARIABLE_751))))))) (let ((_let_21 (tptp.multiplication _let_18 _let_17))) (let ((_let_22 (tptp.addition _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.leq _let_22 _let_17))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_19))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A B) C) B)) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (tptp.addition _let_22 _let_17))) (let ((_let_29 (= _let_17 _let_28))) (let ((_let_30 (= _let_23 _let_29))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 ((tptp.leq A B)))) (let ((_let_35 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17))) (let ((_let_36 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_35))) (let ((_let_37 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition _let_35 _let_16)) (tptp.addition _let_36 _let_17)))) (let ((_let_38 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_39 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_38))) (let ((_let_40 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40))) (let ((_let_42 (= (tptp.addition _let_21 _let_40) (tptp.addition _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_43 (tptp.multiplication _let_16 _let_15))) (let ((_let_44 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_43))) (let ((_let_45 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_38))) (let ((_let_46 (tptp.addition _let_38 _let_44))) (let ((_let_47 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46) (tptp.addition _let_45 _let_44)))) (let ((_let_48 (tptp.multiplication _let_15 _let_16))) (let ((_let_49 (tptp.addition _let_48 _let_16))) (let ((_let_50 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_49))) (let ((_let_51 (tptp.addition _let_38 _let_50))) (let ((_let_52 (= (tptp.addition _let_21 _let_51) (tptp.addition (tptp.addition _let_21 _let_38) _let_50)))) (let ((_let_53 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_51) (tptp.addition _let_45 _let_50)))) (let ((_let_54 (tptp.addition tptp.one _let_43))) (let ((_let_55 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_54))) (let ((_let_56 (= (tptp.addition _let_55 _let_51) (tptp.addition (tptp.addition _let_55 _let_38) _let_50)))) (let ((_let_57 (= (tptp.addition _let_22 _let_51) (tptp.addition (tptp.addition _let_22 _let_38) _let_50)))) (let ((_let_58 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55) (tptp.addition _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_59 (= _let_55 _let_46))) (let ((_let_60 (tptp.addition tptp.one _let_49))) (let ((_let_61 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_60) _let_51))) (let ((_let_62 (tptp.addition _let_55 _let_17))) (let ((_let_63 (tptp.addition _let_17 _let_22))) (let ((_let_64 (= (tptp.addition _let_55 _let_63) (tptp.addition _let_62 _let_22)))) (let ((_let_65 (tptp.addition _let_54 _let_16))) (let ((_let_66 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_65) _let_62))) (let ((_let_67 (tptp.addition tptp.one _let_48))) (let ((_let_68 (tptp.addition _let_67 _let_16))) (let ((_let_69 (= _let_68 _let_60))) (let ((_let_70 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_71 (tptp.addition _let_21 _let_70))) (let ((_let_72 (= _let_28 _let_71))) (let ((_let_73 (= _let_28 _let_63))) (let ((_let_74 (= _let_16 _let_65))) (let ((_let_75 (= _let_16 _let_68))) (let ((_let_76 (= _let_48 _let_35))) (let ((_let_77 (= _let_21 _let_36))) (let ((_let_78 (_let_8))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_82))) (let ((_let_85 ((tptp.addition A A)))) (let ((_let_86 (_let_13))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_89 ((tptp.addition A (tptp.addition B C))))) (let ((_let_90 (_let_14))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 ((tptp.addition A B)))) (let ((_let_93 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_94 (tptp.leq _let_54 _let_16))) (let ((_let_95 (= _let_94 _let_74))) (let ((_let_96 (_let_4))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 ((tptp.star A)))) (let ((_let_99 (tptp.leq _let_67 _let_16))) (let ((_let_100 (= _let_99 _let_75))) (let ((_let_101 (_let_5))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 ((tptp.star A)))) (let ((_let_104 (_let_11))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_107 (and _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_69 _let_66 _let_64 _let_61 _let_59 _let_58 _let_57 _let_56 _let_53 _let_52 _let_47 _let_42 _let_41 _let_39 _let_37))) (let ((_let_108 (= _let_17 _let_70))) (let ((_let_109 (= _let_70 _let_71))) (let ((_let_110 (ASSUME :args (_let_72)))) (let ((_let_111 (SYMM _let_110))) (let ((_let_112 (APPLY_UF tptp.addition))) (let ((_let_113 (APPLY_UF tptp.multiplication))) (let ((_let_114 (ASSUME :args (_let_75)))) (let ((_let_115 (ASSUME :args (_let_69)))) (let ((_let_116 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_117 (CONG _let_116 (TRANS (SYMM _let_115) (SYMM _let_114)) :args _let_113))) (let ((_let_118 (ASSUME :args (_let_61)))) (let ((_let_119 (SYMM _let_118))) (let ((_let_120 (TRANS _let_119 _let_117))) (let ((_let_121 (ASSUME :args (_let_53)))) (let ((_let_122 (SYMM (SYMM _let_121)))) (let ((_let_123 (REFL :args (_let_50)))) (let ((_let_124 (ASSUME :args (_let_39)))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (ASSUME :args (_let_41)))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (ASSUME :args (_let_73)))) (let ((_let_131 (REFL :args (_let_22)))) (let ((_let_132 (ASSUME :args (_let_74)))) (let ((_let_133 (CONG _let_116 (SYMM _let_132) :args _let_113))) (let ((_let_134 (ASSUME :args (_let_66)))) (let ((_let_135 (ASSUME :args (_let_64)))) (let ((_let_136 (ASSUME :args (_let_57)))) (let ((_let_137 (ASSUME :args (_let_77)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (CONG _let_138 _let_116 :args _let_112))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (ASSUME :args (_let_42)))) (let ((_let_142 (ASSUME :args (_let_52)))) (let ((_let_143 (SYMM _let_120))) (let ((_let_144 (ASSUME :args (_let_37)))) (let ((_let_145 (ASSUME :args (_let_76)))) (let ((_let_146 (ASSUME :args (_let_59)))) (let ((_let_147 (TRANS (TRANS (CONG _let_116 _let_125 :args _let_112) _let_128) _let_126))) (let ((_let_148 (ASSUME :args (_let_47)))) (let ((_let_149 (ASSUME :args (_let_58)))) (let ((_let_150 (REFL :args (_let_55)))) (let ((_let_151 (ASSUME :args (_let_56)))) (let ((_let_152 (forall ((BOUND_VARIABLE_764 $$unsorted) (BOUND_VARIABLE_766 $$unsorted)) (tptp.leq (tptp.multiplication BOUND_VARIABLE_764 (tptp.star (tptp.multiplication BOUND_VARIABLE_766 BOUND_VARIABLE_764))) (tptp.multiplication (tptp.star (tptp.multiplication BOUND_VARIABLE_764 BOUND_VARIABLE_766)) BOUND_VARIABLE_764))))) (let ((_let_153 (not _let_20))) (let ((_let_154 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_155 (tptp.star _let_154))) (let ((_let_156 (tptp.multiplication _let_155 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_157 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_158 (tptp.leq (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.star _let_157)) _let_156))) (let ((_let_159 (tptp.multiplication _let_156 _let_157))) (let ((_let_160 (tptp.leq (tptp.addition _let_159 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_156))) (let ((_let_161 (not _let_160))) (let ((_let_162 (or _let_161 _let_158))) (let ((_let_163 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A B) C) A)) (tptp.leq (tptp.multiplication C (tptp.star B)) A))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_166 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_165))) (let ((_let_167 (tptp.multiplication _let_155 _let_154))) (let ((_let_168 (tptp.addition tptp.one _let_167))) (let ((_let_169 (tptp.multiplication _let_168 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_170 (= _let_169 (tptp.addition _let_169 _let_169)))) (let ((_let_171 (tptp.multiplication _let_167 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_172 (tptp.addition _let_165 _let_171))) (let ((_let_173 (= _let_172 (tptp.addition _let_171 _let_165)))) (let ((_let_174 (tptp.leq _let_169 _let_156))) (let ((_let_175 (= _let_169 _let_172))) (let ((_let_176 (tptp.multiplication _let_154 _let_155))) (let ((_let_177 (tptp.addition _let_176 _let_155))) (let ((_let_178 (tptp.addition tptp.one _let_177))) (let ((_let_179 (= (tptp.multiplication _let_178 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition _let_165 (tptp.multiplication _let_177 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_180 (tptp.addition _let_169 _let_156))) (let ((_let_181 (= _let_180 (tptp.addition _let_156 _let_169)))) (let ((_let_182 (tptp.addition _let_168 _let_155))) (let ((_let_183 (= (tptp.multiplication _let_182 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_180))) (let ((_let_184 (tptp.addition tptp.one _let_176))) (let ((_let_185 (tptp.addition _let_184 _let_155))) (let ((_let_186 (= _let_185 _let_178))) (let ((_let_187 (= _let_155 _let_182))) (let ((_let_188 (= _let_155 _let_185))) (let ((_let_189 (= _let_159 (tptp.multiplication _let_155 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_157))))) (let ((_let_190 (tptp.multiplication _let_156 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_191 (= _let_167 _let_190))) (let ((_let_192 (= _let_159 (tptp.multiplication _let_190 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_193 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_194 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_195 (= _let_156 _let_180))) (let ((_let_196 (= _let_174 _let_195))) (let ((_let_197 (_let_7))) (let ((_let_198 (ASSUME :args _let_197))) (let ((_let_199 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_200 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (_let_168 _let_155 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_199)) :args _let_197)) _let_198 :args (_let_183 false _let_7)))) (let ((_let_201 (tptp.leq _let_168 _let_155))) (let ((_let_202 (= _let_201 _let_187))) (let ((_let_203 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_202)) :args ((or (not _let_201) _let_187 (not _let_202)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_154 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_96)) _let_97 :args (_let_201 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_168 _let_155 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_202 false _let_31)) :args (_let_187 false _let_201 false _let_202)))) (let ((_let_204 (and _let_187 _let_183))) (let ((_let_205 (ASSUME :args (_let_183)))) (let ((_let_206 (SYMM _let_205))) (let ((_let_207 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_208 (ASSUME :args (_let_187)))) (let ((_let_209 (SYMM _let_208))) (let ((_let_210 (tptp.leq _let_184 _let_155))) (let ((_let_211 (= _let_210 _let_188))) (let ((_let_212 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_213 (and _let_192 _let_191 _let_189 _let_188 _let_187 _let_186 _let_183 _let_181 _let_179 _let_175 _let_174 _let_173 _let_170 _let_166))) (let ((_let_214 (ASSUME :args (_let_174)))) (let ((_let_215 (APPLY_UF tptp.leq))) (let ((_let_216 (ASSUME :args (_let_170)))) (let ((_let_217 (ASSUME :args (_let_181)))) (let ((_let_218 (ASSUME :args (_let_188)))) (let ((_let_219 (ASSUME :args (_let_186)))) (let ((_let_220 (ASSUME :args (_let_179)))) (let ((_let_221 (TRANS (SYMM _let_220) (CONG (TRANS (SYMM _let_219) (SYMM _let_218)) _let_207 :args 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false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_155 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_157 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104))) _let_105 :args (_let_189 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_211)) :args ((or (not _let_210) _let_188 (not _let_211)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_154 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_210 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_184 _let_155 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_211 false _let_31)) :args (_let_188 false _let_210 false _let_211)) _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_155 _let_176 tptp.one QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86))) _let_87 :args (_let_186 false _let_13)) _let_200 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_169 _let_156 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_181 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (tptp.one _let_177 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_199)) :args _let_197)) _let_198 :args (_let_179 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (tptp.one _let_167 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_199)) :args _let_197)) _let_198 :args (_let_175 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_196)) :args ((or _let_174 (not _let_195) (not _let_196)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_204)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_205 _let_208) (SCOPE (TRANS (CONG (SYMM _let_209) _let_207 :args _let_113) (SYMM _let_206)) :args (_let_183 _let_187))) :args (_let_187 _let_183))) :args (true _let_204)) _let_203 _let_200 :args (_let_195 false _let_187 false _let_183)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_169 _let_156 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_33)) _let_32 :args (_let_196 false _let_31)) :args (_let_174 false _let_195 false _let_196)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_165 _let_171 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_173 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_169 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_170 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication tptp.one A)))) :args (_let_193))) _let_194 :args (_let_166 false _let_193)) :args (_let_160 false _let_192 false _let_191 false _let_189 false _let_188 false _let_187 false _let_186 false _let_183 false _let_181 false _let_179 false _let_175 false _let_174 false _let_173 false _let_170 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_156 _let_157 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication C (tptp.star B)) A) true))))) :args (_let_163))) _let_164 :args (_let_162 false _let_163)) :args (_let_158 false _let_160 false _let_162)) :args (_let_152 false _let_158)) :args (_let_153 false _let_152)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_19 _let_24 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_30)) :args ((or _let_23 (not _let_29) (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_107)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_110 (MODUS_PONENS (AND_INTRO _let_110 _let_130 _let_132 _let_134 _let_135 _let_146 _let_124 _let_127 _let_148 _let_149 _let_114 _let_115 _let_118 _let_136 _let_137 _let_141 _let_142 _let_144 _let_145 _let_151 _let_121) (SCOPE (TRANS (CONG _let_116 _let_143 :args _let_112) _let_122 (CONG _let_147 _let_123 :args _let_112) _let_119 _let_117 (SYMM _let_133) _let_134 (CONG _let_150 _let_143 :args _let_112) (SYMM (SYMM _let_151)) (CONG (TRANS (CONG _let_150 _let_125 :args _let_112) (SYMM _let_149) (CONG _let_116 _let_146 :args _let_112) (SYMM (SYMM _let_148)) (CONG _let_147 (REFL :args (_let_44)) :args _let_112) (SYMM _let_146)) (TRANS (CONG _let_116 (CONG (SYMM (SYMM _let_145)) (REFL :args (_let_16)) :args _let_112) :args _let_113) (SYMM (SYMM _let_144)) (CONG _let_138 (REFL :args (_let_17)) :args _let_112) (CONG (REFL :args (_let_21)) _let_143 :args _let_112) (SYMM (SYMM _let_142)) (CONG (TRANS (TRANS (CONG _let_137 _let_125 :args _let_112) _let_139) (TRANS _let_140 (CONG _let_138 _let_129 :args _let_112) (SYMM (SYMM _let_141)) (CONG _let_140 _let_116 :args _let_112) (CONG _let_139 _let_126 :args _let_112))) _let_123 :args _let_112) (SYMM _let_136) (CONG _let_131 _let_120 :args _let_112) _let_130) :args _let_112) (SYMM (SYMM _let_135)) (CONG (TRANS (SYMM _let_134) _let_133) _let_131 :args _let_112) (SYMM _let_130) (SYMM _let_111)) :args (_let_72 _let_73 _let_74 _let_66 _let_64 _let_59 _let_39 _let_41 _let_47 _let_58 _let_75 _let_69 _let_61 _let_57 _let_77 _let_42 _let_52 _let_37 _let_76 _let_56 _let_53))) (MODUS_PONENS (AND_INTRO _let_114 _let_115 _let_118 _let_121 _let_124 _let_127) (SCOPE (TRANS (SYMM _let_117) _let_118 (CONG (TRANS _let_125 (TRANS _let_129 (CONG _let_116 _let_126 :args _let_112))) _let_123 :args _let_112) (SYMM _let_122) (CONG _let_116 _let_120 :args _let_112)) :args (_let_75 _let_69 _let_61 _let_53 _let_39 _let_41)))) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_108)))) (SYMM (SYMM (ASSUME :args (_let_109)))) _let_111) :args (_let_72 _let_109 _let_108))) :args (_let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_69 _let_66 _let_64 _let_61 _let_59 _let_58 _let_57 _let_56 _let_53 _let_52 _let_47 _let_42 _let_41 _let_39 _let_37))) :args (true _let_107)) :args ((or _let_29 (not _let_77) (not _let_76) (not _let_75) (not _let_74) (not _let_73) (not _let_72) (not _let_69) (not _let_66) (not _let_64) (not _let_61) (not _let_59) (not _let_58) (not _let_57) (not _let_56) (not _let_53) (not _let_52) (not _let_47) (not _let_42) (not _let_41) (not _let_39) (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104))) _let_105 :args (_let_77 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104))) _let_105 :args (_let_76 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_100)) :args ((or (not _let_99) _let_75 (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_99 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_67 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_100 false _let_31)) :args (_let_75 false _let_99 false _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_95)) :args ((or (not _let_94) _let_74 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_96)) _let_97 :args (_let_94 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_54 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_95 false _let_31)) :args (_let_74 false _let_94 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_22 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_73 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86))) _let_87 :args (_let_72 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_16 _let_48 tptp.one QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86))) _let_87 :args (_let_69 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_54 _let_16 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_78)) _let_79 :args (_let_66 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_22 _let_17 _let_55 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_64 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one _let_49 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_78)) _let_79 :args (_let_61 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one _let_43 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_78)) _let_79 :args (_let_59 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_58 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_50 _let_38 _let_22 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_57 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_50 _let_38 _let_55 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_56 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_50 _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_53 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_50 _let_38 _let_21 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_52 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_44 _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_47 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_42 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_41 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication A tptp.one)))) :args (_let_80))) _let_81 :args (_let_39 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_35 _let_16 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :args _let_78)) _let_79 :args (_let_37 false _let_8)) :args (_let_29 false _let_77 false _let_76 false _let_75 false _let_74 false _let_73 false _let_72 false _let_69 false _let_66 false _let_64 false _let_61 false _let_59 false _let_58 false _let_57 false _let_56 false _let_53 false _let_52 false _let_47 false _let_42 false _let_41 false _let_39 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_22 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_30 false _let_31)) :args (_let_23 false _let_29 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_18 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication (tptp.star A) C) B) true))))) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_19 false _let_23 false _let_25)) :args (false true _let_20 false _let_19)) :args (_let_14 _let_13 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.47/1.69  )
% 1.47/1.69  % SZS output end Proof for KLE042+2
% 1.47/1.69  % cvc5---1.0.5 exiting
% 1.47/1.69  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------