%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE044+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 05:27:03 EDT 2023

% Result   : Theorem 1.32s 1.53s
% Output   : Proof 1.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KLE044+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 12:32:23 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 1.32/1.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.2ovpfLVyxm/cvc5---1.0.5_29286.p...
% 1.32/1.53  ------- get file name : TPTP file name is KLE044+2
% 1.32/1.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29286.smt2...
% 1.32/1.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.32/1.53  % SZS status Theorem for KLE044+2
% 1.32/1.53  % SZS output start Proof for KLE044+2
% 1.32/1.53  (
% 1.32/1.53  (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.star (tptp.addition tptp.one X0)))) (let ((_let_2 (tptp.star X0))) (and (tptp.leq _let_1 _let_2) (tptp.leq _let_2 _let_1)))))))) (let ((_let_2 (forall ((A $$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 ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_14 (forall ((BOUND_VARIABLE_747 $$unsorted)) (tptp.leq (tptp.star (tptp.addition tptp.one BOUND_VARIABLE_747)) (tptp.star BOUND_VARIABLE_747))))) (let ((_let_15 (forall ((BOUND_VARIABLE_755 $$unsorted)) (tptp.leq (tptp.star BOUND_VARIABLE_755) (tptp.star (tptp.addition tptp.one BOUND_VARIABLE_755)))))) (let ((_let_16 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.star _let_17))) (let ((_let_19 (tptp.leq _let_18 _let_16))) (let ((_let_20 (tptp.multiplication tptp.one tptp.one))) (let ((_let_21 (tptp.multiplication _let_20 _let_18))) (let ((_let_22 (tptp.leq _let_21 _let_16))) (let ((_let_23 (tptp.multiplication tptp.one _let_18))) (let ((_let_24 (= (tptp.multiplication tptp.one _let_23) _let_21))) (let ((_let_25 (= _let_18 _let_23))) (let ((_let_26 (tptp.multiplication _let_16 _let_17))) (let ((_let_27 (tptp.leq (tptp.addition _let_26 _let_20) _let_16))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_22))) (let ((_let_30 (forall ((A $$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_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (tptp.multiplication _let_16 tptp.one))) (let ((_let_35 (= _let_26 (tptp.addition _let_34 _let_33)))) (let ((_let_36 (= tptp.one _let_20))) (let ((_let_37 (= (tptp.addition _let_26 tptp.one) (tptp.addition tptp.one _let_26)))) (let ((_let_38 (= _let_16 _let_34))) (let ((_let_39 (tptp.addition _let_33 _let_16))) (let ((_let_40 (= _let_39 (tptp.addition _let_16 _let_33)))) (let ((_let_41 (tptp.leq _let_34 _let_16))) (let ((_let_42 (tptp.addition tptp.one _let_33))) (let ((_let_43 (tptp.addition _let_42 _let_16))) (let ((_let_44 (= _let_43 (tptp.addition tptp.one _let_39)))) (let ((_let_45 (= _let_16 _let_43))) (let ((_let_46 (_let_8))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_49 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 ((tptp.multiplication A tptp.one)))) (let ((_let_53 (_let_13))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 ((tptp.addition A B)))) (let ((_let_56 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_57 (tptp.addition _let_56 tptp.one))) (let ((_let_58 (tptp.leq _let_57 _let_16))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_41))) (let ((_let_61 (forall ((A $$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_62 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 (tptp.multiplication A B))) (let ((_let_65 (tptp.addition tptp.one _let_56))) (let ((_let_66 (= _let_65 _let_57))) (let ((_let_67 (tptp.leq _let_65 _let_16))) (let ((_let_68 (_let_5))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.star A)))) (let ((_let_71 (and _let_67 _let_66))) (let ((_let_72 (_let_67 _let_66))) (let ((_let_73 (ASSUME :args (_let_67)))) (let ((_let_74 (APPLY_UF tptp.leq))) (let ((_let_75 (REFL :args (_let_16)))) (let ((_let_76 (ASSUME :args (_let_66)))) (let ((_let_77 (_let_12))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_80 (tptp.leq _let_42 _let_16))) (let ((_let_81 (= _let_80 _let_45))) (let ((_let_82 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_82))) (let ((_let_85 ((tptp.leq A B)))) (let ((_let_86 (_let_4))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 ((tptp.star A)))) (let ((_let_89 (and _let_45 _let_44 _let_41 _let_40 _let_38 _let_37 _let_36 _let_35))) (let ((_let_90 (ASSUME :args (_let_41)))) (let ((_let_91 (ASSUME :args (_let_38)))) (let ((_let_92 (SYMM _let_91))) (let ((_let_93 (ASSUME :args (_let_45)))) (let ((_let_94 (ASSUME :args (_let_44)))) (let ((_let_95 (APPLY_UF tptp.addition))) (let ((_let_96 (ASSUME :args (_let_40)))) (let ((_let_97 (ASSUME :args (_let_35)))) (let ((_let_98 (REFL :args (tptp.one)))) (let ((_let_99 (ASSUME :args (_let_37)))) (let ((_let_100 (ASSUME :args (_let_36)))) (let ((_let_101 (_let_11))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 ((tptp.multiplication tptp.one A)))) (let ((_let_107 (and _let_25 _let_24 _let_22))) (let ((_let_108 (ASSUME :args (_let_22)))) (let ((_let_109 (ASSUME :args (_let_24)))) (let ((_let_110 (APPLY_UF tptp.multiplication))) (let ((_let_111 (ASSUME :args (_let_25)))) (let ((_let_112 (SYMM (SYMM _let_111)))) (let ((_let_113 (or))) (let ((_let_114 (not _let_14))) (let ((_let_115 (_let_114))) (let ((_let_116 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_117 (tptp.star _let_116))) (let ((_let_118 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_119 (tptp.leq _let_118 _let_117))) (let ((_let_120 (tptp.multiplication tptp.one _let_117))) (let ((_let_121 (tptp.multiplication _let_117 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_122 (tptp.addition _let_120 _let_117))) (let ((_let_123 (= (tptp.addition _let_121 _let_122) (tptp.addition (tptp.addition _let_121 _let_120) _let_117)))) (let ((_let_124 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_117))) (let ((_let_125 (tptp.addition _let_124 _let_120))) (let ((_let_126 (= (tptp.addition _let_124 _let_122) (tptp.addition _let_125 _let_117)))) (let ((_let_127 (tptp.multiplication _let_117 _let_116))) (let ((_let_128 (tptp.addition tptp.one _let_127))) (let ((_let_129 (tptp.multiplication _let_118 tptp.one))) (let ((_let_130 (tptp.leq _let_129 _let_128))) (let ((_let_131 (= _let_117 _let_122))) (let ((_let_132 (= _let_118 _let_129))) (let ((_let_133 (tptp.multiplication _let_116 _let_117))) (let ((_let_134 (tptp.multiplication _let_116 _let_128))) (let ((_let_135 (tptp.addition _let_134 _let_133))) (let ((_let_136 (tptp.addition _let_133 _let_117))) (let ((_let_137 (= (tptp.addition _let_134 _let_136) (tptp.addition _let_135 _let_117)))) (let ((_let_138 (tptp.addition _let_128 _let_117))) (let ((_let_139 (= (tptp.multiplication _let_116 _let_138) _let_135))) (let ((_let_140 (= _let_117 _let_120))) (let ((_let_141 (tptp.multiplication _let_117 tptp.one))) (let ((_let_142 (= _let_117 _let_141))) (let ((_let_143 (tptp.addition _let_120 _let_124))) (let ((_let_144 (tptp.addition _let_124 tptp.one))) (let ((_let_145 (= (tptp.addition _let_120 _let_144) (tptp.addition _let_143 tptp.one)))) (let ((_let_146 (tptp.addition tptp.one _let_133))) (let ((_let_147 (tptp.addition _let_146 _let_117))) (let ((_let_148 (= _let_147 (tptp.addition tptp.one _let_136)))) (let ((_let_149 (= _let_138 (tptp.addition tptp.one (tptp.addition _let_127 _let_117))))) (let ((_let_150 (= _let_143 _let_125))) (let ((_let_151 (tptp.addition _let_141 _let_121))) (let ((_let_152 (= _let_151 (tptp.addition _let_121 _let_141)))) (let ((_let_153 (= _let_117 _let_138))) (let ((_let_154 (= _let_117 _let_147))) (let ((_let_155 (= _let_133 _let_143))) (let ((_let_156 (= _let_127 _let_151))) (let ((_let_157 (tptp.addition _let_133 tptp.one))) (let ((_let_158 (= _let_146 _let_157))) (let ((_let_159 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one))) (let ((_let_160 (= _let_116 _let_159))) (let ((_let_161 ((tptp.addition A (tptp.addition B C))))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_117 _let_120 _let_121 QUANTIFIERS_INST_E_MATCHING _let_161)) :args _let_77)) _let_78 :args (_let_123 false _let_12)))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_117 _let_120 _let_124 QUANTIFIERS_INST_E_MATCHING _let_161)) :args _let_77)) _let_78 :args (_let_126 false _let_12)))) (let ((_let_164 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_128))) (let ((_let_165 (tptp.addition _let_164 tptp.one))) (let ((_let_166 (tptp.leq _let_165 _let_128))) (let ((_let_167 (not _let_166))) (let ((_let_168 (or _let_167 _let_130))) (let ((_let_169 (= _let_128 (tptp.addition _let_165 _let_128)))) (let ((_let_170 (= _let_166 _let_169))) (let ((_let_171 (tptp.addition tptp.one _let_164))) (let ((_let_172 (tptp.addition _let_164 _let_125))) (let ((_let_173 (= (tptp.addition tptp.one _let_172) (tptp.addition _let_171 _let_125)))) (let ((_let_174 (= _let_165 _let_171))) (let ((_let_175 (tptp.addition _let_134 _let_157))) (let ((_let_176 (= _let_175 (tptp.addition _let_157 _let_134)))) (let ((_let_177 (tptp.addition _let_164 _let_124))) (let ((_let_178 (= _let_172 (tptp.addition _let_177 _let_120)))) (let ((_let_179 (= _let_175 (tptp.addition _let_135 tptp.one)))) (let ((_let_180 (= _let_136 (tptp.addition _let_117 _let_133)))) (let ((_let_181 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_138) _let_177))) (let ((_let_182 (tptp.leq _let_120 _let_117))) (let ((_let_183 (= _let_182 _let_131))) (let ((_let_184 (tptp.addition _let_127 tptp.one))) (let ((_let_185 (tptp.leq _let_184 _let_117))) (let ((_let_186 (not _let_185))) (let ((_let_187 (or _let_186 _let_182))) (let ((_let_188 (= _let_128 _let_184))) (let ((_let_189 (tptp.leq _let_128 _let_117))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_116 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_86)) _let_87 :args (_let_189 false _let_4)))) (let ((_let_191 (and _let_189 _let_188))) (let ((_let_192 (_let_189 _let_188))) (let ((_let_193 (ASSUME :args (_let_189)))) (let ((_let_194 (REFL :args (_let_117)))) (let ((_let_195 (ASSUME :args (_let_188)))) (let ((_let_196 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_183)) :args ((or (not _let_182) _let_131 (not _let_183)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_187)) :args ((or _let_186 _let_182 (not _let_187)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_191)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_193 _let_195) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_195) _let_194 :args _let_74) (TRUE_INTRO _let_193))) :args _let_192)) :args _let_192)) :args (true _let_191)) _let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.one _let_127 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_188 false _let_13)) :args (_let_185 false _let_189 false _let_188)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_117 _let_116 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) C)))) :args _let_32)) _let_31 :args (_let_187 false _let_30)) :args (_let_182 false _let_185 false _let_187)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_120 _let_117 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_183 false _let_82)) :args (_let_131 false _let_182 false _let_183)))) (let ((_let_197 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_117 _let_133 _let_134 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77)) _let_78 :args (_let_137 false _let_12)))) (let ((_let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_116 _let_128 _let_117 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_139 false _let_8)))) (let ((_let_199 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_117 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_140 false _let_103)))) (let ((_let_200 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_117 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_142 false _let_49)))) (let ((_let_201 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.one _let_124 _let_120 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77)) _let_78 :args (_let_145 false _let_12)))) (let ((_let_202 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_117 _let_133 tptp.one QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77))) _let_78 :args (_let_148 false _let_12)))) (let ((_let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_117 _let_127 tptp.one QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77))) _let_78 :args (_let_149 false _let_12)))) (let ((_let_204 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_120 _let_124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_150 false _let_13)))) (let ((_let_205 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_141 _let_121 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_152 false _let_13)))) (let ((_let_206 (= _let_189 _let_153))) (let ((_let_207 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_206)) :args ((or (not _let_189) _let_153 (not _let_206)))) _let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_128 _let_117 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args 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:args ((or _let_28 _let_22 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_90 _let_91 _let_93 _let_94 _let_96 _let_97 _let_99 _let_100) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_26)) (SYMM _let_100) :args _let_95) (TRANS (SYMM (SYMM _let_99)) (CONG _let_98 (TRANS (SYMM (SYMM _let_97)) (CONG _let_92 (REFL :args (_let_33)) :args _let_95) (SYMM _let_96)) :args _let_95) (SYMM _let_94) (SYMM _let_93)) (SYMM _let_92)) _let_75 :args _let_74) (TRUE_INTRO _let_90))) :args (_let_41 _let_38 _let_45 _let_44 _let_40 _let_35 _let_37 _let_36))) :args (_let_45 _let_44 _let_41 _let_40 _let_38 _let_37 _let_36 _let_35))) :args (true _let_89)) :args ((or (not _let_45) (not _let_44) (not _let_41) (not _let_40) (not _let_38) _let_27 (not _let_37) (not _let_36) (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or (not _let_80) _let_45 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_86)) _let_87 :args (_let_80 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_42 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_81 false _let_82)) :args (_let_45 false _let_80 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_16 _let_33 tptp.one QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77))) _let_78 :args (_let_44 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_41 (not _let_60)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_73 _let_76) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_76) _let_75 :args _let_74) (TRUE_INTRO _let_73))) :args _let_72)) :args _let_72)) :args (true _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_67 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.one _let_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_66 false _let_13)) :args (_let_58 false _let_67 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition _let_64 C)))) :args _let_63)) _let_62 :args (_let_60 false _let_61)) :args (_let_41 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_33 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_40 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_38 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_26 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_37 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_36 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_16 tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_35 false _let_8)) :args (_let_27 false _let_45 false _let_44 false _let_41 false _let_40 false _let_38 false _let_37 false _let_36 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_16 _let_17 _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication C (tptp.star B)) A) true))))) :args _let_32)) _let_31 :args (_let_29 false _let_30)) :args (_let_22 false _let_27 false _let_29)) :args (_let_19 false _let_25 false _let_24 false _let_22)) :args (_let_14 false _let_19)) :args (false false _let_15 false _let_14)) :args (_let_13 _let_12 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.32/1.53  )
% 1.32/1.53  % SZS output end Proof for KLE044+2
% 1.32/1.53  % cvc5---1.0.5 exiting
% 1.32/1.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------