TSTP Solution File: KLE139+2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE139+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 05:27:23 EDT 2023
% Result : Theorem 0.74s 0.99s
% Output : Proof 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KLE139+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n026.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 12:05:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.74/0.99 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4nEiYQ1ay5/cvc5---1.0.5_4279.p...
% 0.74/0.99 ------- get file name : TPTP file name is KLE139+2
% 0.74/0.99 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4279.smt2...
% 0.74/0.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.74/0.99 % SZS status Theorem for KLE139+2
% 0.74/0.99 % SZS output start Proof for KLE139+2
% 0.74/0.99 (
% 0.74/0.99 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.strong_iteration X0))) (let ((_let_2 (tptp.addition (tptp.multiplication _let_1 X0) tptp.one))) (and (tptp.leq _let_1 _let_2) (tptp.leq _let_2 _let_1)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_7 (forall ((A $$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 $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (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 $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_14 (forall ((BOUND_VARIABLE_777 $$unsorted)) (let ((_let_1 (tptp.strong_iteration BOUND_VARIABLE_777))) (tptp.leq _let_1 (tptp.addition (tptp.multiplication _let_1 BOUND_VARIABLE_777) tptp.one)))))) (let ((_let_15 (forall ((BOUND_VARIABLE_785 $$unsorted)) (let ((_let_1 (tptp.strong_iteration BOUND_VARIABLE_785))) (tptp.leq (tptp.addition (tptp.multiplication _let_1 BOUND_VARIABLE_785) tptp.one) _let_1))))) (let ((_let_16 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.addition _let_17 tptp.one))) (let ((_let_19 (tptp.leq _let_16 _let_18))) (let ((_let_20 (= _let_18 (tptp.addition _let_16 _let_18)))) (let ((_let_21 (= _let_19 _let_20))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 ((tptp.leq A B)))) (let ((_let_26 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (= tptp.zero _let_26))) (let ((_let_28 (= tptp.zero (tptp.multiplication tptp.zero tptp.zero)))) (let ((_let_29 (tptp.multiplication tptp.one tptp.zero))) (let ((_let_30 (= tptp.zero _let_29))) (let ((_let_31 (tptp.multiplication _let_16 tptp.one))) (let ((_let_32 (= (tptp.multiplication _let_16 _let_29) (tptp.multiplication _let_31 tptp.zero)))) (let ((_let_33 (= _let_31 (tptp.addition _let_31 _let_31)))) (let ((_let_34 (tptp.multiplication _let_16 tptp.zero))) (let ((_let_35 (tptp.multiplication _let_34 tptp.zero))) (let ((_let_36 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (tptp.multiplication _let_36 tptp.zero))) (let ((_let_38 (tptp.addition _let_37 _let_35))) (let ((_let_39 (= (tptp.multiplication _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiplication _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_40 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_41 (tptp.addition tptp.one _let_40))) (let ((_let_42 (= (tptp.multiplication _let_41 tptp.one) (tptp.addition (tptp.multiplication tptp.one tptp.one) (tptp.multiplication _let_40 tptp.one))))) (let ((_let_43 (= _let_16 _let_31))) (let ((_let_44 (tptp.multiplication _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (= _let_44 (tptp.multiplication _let_16 _let_26)))) (let ((_let_46 (tptp.multiplication _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (tptp.addition tptp.one _let_46))) (let ((_let_48 (tptp.addition _let_46 _let_44))) (let ((_let_49 (= (tptp.addition tptp.one _let_48) (tptp.addition _let_47 _let_44)))) (let ((_let_50 (= _let_36 _let_47))) (let ((_let_51 (tptp.addition _let_36 _let_34))) (let ((_let_52 (= (tptp.multiplication _let_51 tptp.zero) _let_38))) (let ((_let_53 (= (tptp.multiplication _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_48))) (let ((_let_54 (tptp.addition _let_40 tptp.one))) (let ((_let_55 (= _let_54 _let_41))) (let ((_let_56 (= _let_16 _let_51))) (let ((_let_57 (= _let_16 _let_54))) (let ((_let_58 (= _let_18 (tptp.addition tptp.one _let_17)))) (let ((_let_59 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_28 false _let_59)))) (let ((_let_64 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication tptp.one A)))) :args (_let_64))) _let_65 :args (_let_30 false _let_64)))) (let ((_let_67 (_let_10))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_70 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_70))) (let ((_let_73 ((tptp.addition A A)))) (let ((_let_74 (_let_7))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_77 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.multiplication A tptp.one)))) (let ((_let_81 (_let_12))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 ((tptp.addition A (tptp.addition B C))))) (let ((_let_84 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 ((tptp.star A)))) (let ((_let_88 (_let_13))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 ((tptp.addition A B)))) (let ((_let_91 (_let_3))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 ((tptp.strong_iteration A)))) (let ((_let_94 (_let_4))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 ((tptp.strong_iteration A)))) (let ((_let_97 (not _let_28))) (let ((_let_98 (not _let_30))) (let ((_let_99 (and _let_58 _let_57 _let_56 _let_55 _let_53 _let_52 _let_50 _let_49 _let_45 _let_43 _let_42 _let_39 _let_33 _let_32 _let_30 _let_28 _let_27))) (let ((_let_100 (APPLY_UF tptp.addition))) (let ((_let_101 (REFL :args (_let_18)))) (let ((_let_102 (ASSUME :args (_let_56)))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 (ASSUME :args (_let_43)))) (let ((_let_105 (SYMM _let_104))) (let ((_let_106 (APPLY_UF tptp.multiplication))) (let ((_let_107 (REFL :args (tptp.one)))) (let ((_let_108 (ASSUME :args (_let_57)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (ASSUME :args (_let_55)))) (let ((_let_111 (ASSUME :args (_let_42)))) (let ((_let_112 (TRANS (SYMM _let_111) (CONG (TRANS (SYMM _let_110) _let_109) _let_107 :args _let_106) _let_105))) (let ((_let_113 (ASSUME :args (_let_58)))) (let ((_let_114 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_115 (ASSUME :args (_let_53)))) (let ((_let_116 (CONG _let_107 (TRANS (SYMM _let_115) (CONG _let_103 _let_114 :args _let_106)) :args _let_100))) (let ((_let_117 (ASSUME :args (_let_49)))) (let ((_let_118 (REFL :args (tptp.zero)))) (let ((_let_119 (ASSUME :args (_let_52)))) (let ((_let_120 (CONG (TRANS (SYMM _let_119) (CONG _let_103 _let_118 :args _let_106)) _let_114 :args _let_106))) (let ((_let_121 (ASSUME :args (_let_39)))) (let ((_let_122 (CONG (REFL :args (_let_47)) (TRANS (SYMM _let_121) _let_120) :args _let_100))) (let ((_let_123 (ASSUME :args (_let_45)))) (let ((_let_124 (ASSUME :args (_let_28)))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (CONG _let_125 _let_114 :args _let_106))) (let ((_let_127 (ASSUME :args (_let_27)))) (let ((_let_128 (ASSUME :args (_let_30)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (ASSUME :args (_let_32)))) (let ((_let_131 (ASSUME :args (_let_50)))) (let ((_let_132 (CONG (SYMM (SYMM _let_131)) (TRANS (CONG _let_104 _let_118 :args _let_106) (SYMM _let_130) (CONG (REFL :args (_let_16)) (TRANS _let_129 (SYMM (SYMM _let_127)) (SYMM _let_126)) :args _let_106) (CONG _let_104 _let_126 :args _let_106) (CONG _let_105 (REFL :args (_let_26)) :args _let_106) (SYMM _let_123) (SYMM _let_120) _let_121) :args _let_100))) (let ((_let_133 (ASSUME :args (_let_33)))) (let ((_let_134 (or))) (let ((_let_135 (not _let_14))) (let ((_let_136 (_let_135))) (let ((_let_137 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_138 (tptp.multiplication _let_137 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_139 (tptp.addition _let_138 tptp.one))) (let ((_let_140 (tptp.leq _let_139 _let_137))) (let ((_let_141 (tptp.addition _let_139 _let_137))) (let ((_let_142 (= _let_137 _let_141))) (let ((_let_143 (= _let_140 _let_142))) (let ((_let_144 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_145 (= tptp.zero _let_144))) (let ((_let_146 (tptp.multiplication _let_137 tptp.one))) (let ((_let_147 (= (tptp.multiplication _let_137 _let_29) (tptp.multiplication _let_146 tptp.zero)))) (let ((_let_148 (= _let_146 (tptp.addition _let_146 _let_146)))) (let ((_let_149 (tptp.multiplication _let_137 tptp.zero))) (let ((_let_150 (tptp.multiplication _let_149 tptp.zero))) (let ((_let_151 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_152 (tptp.multiplication _let_151 tptp.zero))) (let ((_let_153 (tptp.addition _let_152 _let_150))) (let ((_let_154 (= (tptp.multiplication _let_153 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition (tptp.multiplication _let_152 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiplication _let_150 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_155 (tptp.addition _let_149 _let_151))) (let ((_let_156 (= (tptp.multiplication _let_155 tptp.one) (tptp.addition (tptp.multiplication _let_149 tptp.one) (tptp.multiplication _let_151 tptp.one))))) (let ((_let_157 (= _let_137 _let_146))) (let ((_let_158 (tptp.multiplication _let_149 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_159 (= _let_158 (tptp.multiplication _let_137 _let_144)))) (let ((_let_160 (tptp.multiplication _let_151 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_161 (tptp.addition tptp.one _let_160))) (let ((_let_162 (tptp.addition _let_160 _let_158))) (let ((_let_163 (= (tptp.addition tptp.one _let_162) (tptp.addition _let_161 _let_158)))) (let ((_let_164 (= _let_151 _let_161))) (let ((_let_165 (tptp.addition _let_151 _let_149))) (let ((_let_166 (= (tptp.multiplication _let_165 tptp.zero) _let_153))) (let ((_let_167 (= (tptp.multiplication _let_165 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_162))) (let ((_let_168 (= _let_165 _let_155))) (let ((_let_169 (= _let_141 (tptp.addition _let_137 _let_139)))) (let ((_let_170 (= _let_137 _let_165))) (let ((_let_171 (= _let_137 (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_137) tptp.one)))) (let ((_let_172 (= _let_139 (tptp.addition tptp.one _let_138)))) (let ((_let_173 (and _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_164 _let_163 _let_159 _let_157 _let_156 _let_154 _let_148 _let_147 _let_30 _let_28 _let_145))) (let ((_let_174 (ASSUME :args (_let_169)))) (let ((_let_175 (ASSUME :args (_let_157)))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (ASSUME :args (_let_170)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (ASSUME :args (_let_168)))) (let ((_let_180 (ASSUME :args (_let_156)))) (let ((_let_181 (TRANS (SYMM _let_180) (CONG (TRANS (SYMM _let_179) _let_178) _let_107 :args _let_106) _let_176))) (let ((_let_182 (ASSUME :args (_let_172)))) (let ((_let_183 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_184 (ASSUME :args (_let_167)))) (let ((_let_185 (ASSUME :args (_let_163)))) (let ((_let_186 (ASSUME :args (_let_166)))) (let ((_let_187 (CONG (TRANS (SYMM _let_186) (CONG _let_178 _let_118 :args _let_106)) _let_183 :args _let_106))) (let ((_let_188 (ASSUME :args (_let_154)))) (let ((_let_189 (ASSUME :args (_let_159)))) (let ((_let_190 (CONG _let_125 _let_183 :args _let_106))) (let ((_let_191 (ASSUME :args (_let_145)))) (let ((_let_192 (ASSUME :args (_let_147)))) (let ((_let_193 (ASSUME :args (_let_164)))) (let ((_let_194 (ASSUME :args (_let_171)))) (let ((_let_195 (ASSUME :args (_let_148)))) (let ((_let_196 (not _let_15))) (let ((_let_197 (_let_196))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_197)) :args _let_197)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_196) _let_15))) (REFL :args ((not _let_140))) :args _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_143)) :args ((or _let_140 (not _let_142) (not _let_143)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_173)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_174 _let_175 _let_177 _let_179 _let_180 _let_182 _let_184 _let_185 _let_193 _let_186 _let_188 _let_189 _let_128 _let_124 _let_191 _let_192 _let_194 _let_195) (SCOPE (TRANS _let_175 (SYMM (SYMM _let_195)) (CONG _let_176 (TRANS _let_176 _let_194) :args _let_100) (CONG (SYMM _let_181) (TRANS (SYMM _let_194) _let_177 (CONG (SYMM (SYMM _let_193)) (TRANS (CONG _let_175 _let_118 :args _let_106) (SYMM _let_192) (CONG (REFL :args (_let_137)) (TRANS _let_129 (SYMM (SYMM _let_191)) (SYMM _let_190)) :args _let_106) (CONG _let_175 _let_190 :args _let_106) (CONG _let_176 (REFL :args (_let_144)) :args _let_106) (SYMM _let_189) (SYMM _let_187) _let_188) :args _let_100) (CONG (REFL :args (_let_161)) (TRANS (SYMM _let_188) _let_187) :args _let_100) (SYMM _let_185) (CONG _let_107 (TRANS (SYMM _let_184) (CONG _let_178 _let_183 :args _let_106)) :args _let_100) (SYMM _let_182)) :args _let_100) (CONG _let_181 (REFL :args (_let_139)) :args _let_100) (SYMM _let_174)) :args (_let_169 _let_157 _let_170 _let_168 _let_156 _let_172 _let_167 _let_163 _let_164 _let_166 _let_154 _let_159 _let_30 _let_28 _let_145 _let_147 _let_171 _let_148))) :args (_let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_164 _let_163 _let_159 _let_157 _let_156 _let_154 _let_148 _let_147 _let_30 _let_28 _let_145))) :args (true _let_173)) :args ((or _let_142 (not _let_172) (not _let_171) (not _let_170) (not _let_169) (not _let_168) (not _let_167) (not _let_166) (not _let_164) (not _let_163) (not _let_159) (not _let_157) (not _let_156) (not _let_154) (not _let_148) (not _let_147) _let_98 _let_97 (not _let_145)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_138 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88)) _let_89 :args (_let_172 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_171 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_91)) _let_92 :args (_let_170 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_139 _let_137 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88)) _let_89 :args (_let_169 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_151 _let_149 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88)) _let_89 :args (_let_168 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_151 _let_149 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_167 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_151 _let_149 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_166 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_86)) _let_85 :args (_let_164 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_158 _let_160 tptp.one QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_163 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_137 tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_67))) _let_68 :args (_let_159 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_137 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_157 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_149 _let_151 tptp.one QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_156 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_152 _let_150 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_154 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_146 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)) _let_71 :args (_let_148 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_137 tptp.one tptp.zero QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_67)) _let_68 :args (_let_147 false _let_10)) _let_66 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_145 false _let_59)) :args (_let_142 false _let_172 false _let_171 false _let_170 false _let_169 false _let_168 false _let_167 false _let_166 false _let_164 false _let_163 false _let_159 false _let_157 false _let_156 false _let_154 false _let_148 false _let_147 false _let_30 false _let_28 false _let_145)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_139 _let_137 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_143 false _let_22)) :args (_let_140 false _let_142 false _let_143)) :args (_let_15 false _let_140)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_136)) :args _let_136)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_135) _let_14))) (REFL :args ((not _let_19))) :args _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_21)) :args ((or _let_19 (not _let_20) (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_99)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_102 _let_104 _let_108 _let_110 _let_111 _let_113 _let_115 _let_117 _let_131 _let_119 _let_121 _let_123 _let_128 _let_124 _let_127 _let_130 _let_133) (SCOPE (TRANS _let_113 (SYMM _let_116) _let_117 (SYMM _let_122) (SYMM _let_132) _let_103 _let_104 (SYMM (SYMM _let_133)) (CONG _let_105 (TRANS _let_105 _let_108) :args _let_100) (CONG (SYMM _let_112) (TRANS _let_109 _let_102 _let_132 _let_122 (SYMM _let_117) _let_116 (SYMM _let_113)) :args _let_100) (CONG (TRANS _let_112 _let_102) _let_101 :args _let_100) (CONG _let_103 _let_101 :args _let_100)) :args (_let_56 _let_43 _let_57 _let_55 _let_42 _let_58 _let_53 _let_49 _let_50 _let_52 _let_39 _let_45 _let_30 _let_28 _let_27 _let_32 _let_33))) :args (_let_58 _let_57 _let_56 _let_55 _let_53 _let_52 _let_50 _let_49 _let_45 _let_43 _let_42 _let_39 _let_33 _let_32 _let_30 _let_28 _let_27))) :args (true _let_99)) :args ((or _let_20 (not _let_58) (not _let_57) (not _let_56) (not _let_55) (not _let_53) (not _let_52) (not _let_50) (not _let_49) (not _let_45) (not _let_43) (not _let_42) (not _let_39) (not _let_33) (not _let_32) _let_98 _let_97 (not _let_27)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_17 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88)) _let_89 :args (_let_58 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_57 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_91)) _let_92 :args (_let_56 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_40 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88)) _let_89 :args (_let_55 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_36 _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_53 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_36 _let_34 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_52 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_86)) _let_85 :args (_let_50 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_44 _let_46 tptp.one QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_49 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_16 tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_67))) _let_68 :args (_let_45 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_43 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.one _let_40 tptp.one QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_42 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_37 _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_39 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_72)) _let_71 :args (_let_33 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_16 tptp.one tptp.zero QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_67)) _let_68 :args (_let_32 false _let_10)) _let_66 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_27 false _let_59)) :args (_let_20 false _let_58 false _let_57 false _let_56 false _let_55 false _let_53 false _let_52 false _let_50 false _let_49 false _let_45 false _let_43 false _let_42 false _let_39 false _let_33 false _let_32 false _let_30 false _let_28 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_16 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_21 false _let_22)) :args (_let_19 false _let_20 false _let_21)) :args (_let_14 false _let_19)) :args (false false _let_15 false _let_14)) :args (_let_13 _let_12 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_7 _let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))) _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) (tptp.leq (tptp.multiplication (tptp.star A) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))) _let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.74/1.00 )
% 0.74/1.00 % SZS output end Proof for KLE139+2
% 0.74/1.00 % cvc5---1.0.5 exiting
% 0.74/1.00 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------