TSTP Solution File: KLE145+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE145+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 05:27:25 EDT 2023
% Result : Theorem 22.80s 23.06s
% Output : Proof 22.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE145+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 11:20:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 22.80/23.06 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3pFrIuQ8WW/cvc5---1.0.5_2434.p...
% 22.80/23.06 ------- get file name : TPTP file name is KLE145+2
% 22.80/23.06 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2434.smt2...
% 22.80/23.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 22.80/23.06 --- Run --no-e-matching --full-saturate-quant at 5...
% 22.80/23.06 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 22.80/23.06 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.80/23.06 % SZS status Theorem for KLE145+2
% 22.80/23.06 % SZS output start Proof for KLE145+2
% 22.80/23.06 (
% 22.80/23.06 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.strong_iteration X0))) (let ((_let_2 (tptp.star _let_1))) (and (tptp.leq _let_2 _let_1) (tptp.leq _let_1 _let_2)))))))) (let ((_let_2 (forall ((A $$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) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) (tptp.leq (tptp.multiplication (tptp.star A) B) C))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_15 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_17 (tptp.addition tptp.one tptp.one))) (let ((_let_18 (= tptp.one _let_17))) (let ((_let_19 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_20 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_19))) (let ((_let_21 (tptp.addition _let_20 tptp.one))) (let ((_let_22 (= _let_19 _let_21))) (let ((_let_23 (tptp.star _let_19))) (let ((_let_24 (tptp.multiplication _let_19 _let_23))) (let ((_let_25 (tptp.addition tptp.one _let_24))) (let ((_let_26 (= _let_23 _let_25))) (let ((_let_27 (tptp.multiplication _let_19 tptp.one))) (let ((_let_28 (= _let_19 _let_27))) (let ((_let_29 (tptp.addition tptp.one _let_20))) (let ((_let_30 (= _let_21 _let_29))) (let ((_let_31 (tptp.multiplication _let_19 _let_24))) (let ((_let_32 (tptp.addition _let_27 _let_31))) (let ((_let_33 (= (tptp.multiplication _let_19 _let_25) _let_32))) (let ((_let_34 (= (tptp.addition tptp.one _let_32) (tptp.addition (tptp.addition tptp.one _let_27) _let_31)))) (let ((_let_35 (= _let_23 (tptp.addition _let_19 _let_23)))) (let ((_let_36 (= (tptp.addition tptp.one _let_29) (tptp.addition _let_17 _let_20)))) (let ((_let_37 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_38 :args (_let_18 false _let_37)))) (let ((_let_41 (_let_4))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication A _let_1))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 (_let_19 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_47 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 (_let_16))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (_let_10))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_15))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (tptp.leq _let_19 _let_23))) (let ((_let_57 (= _let_56 _let_35))) (let ((_let_58 (not _let_35))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 (forall ((BOUND_VARIABLE_783 $$unsorted)) (let ((_let_1 (tptp.strong_iteration BOUND_VARIABLE_783))) (tptp.leq _let_1 (tptp.star _let_1)))))) (let ((_let_63 (not _let_56))) (let ((_let_64 (forall ((BOUND_VARIABLE_776 $$unsorted)) (let ((_let_1 (tptp.strong_iteration BOUND_VARIABLE_776))) (tptp.leq (tptp.star _let_1) _let_1))))) (let ((_let_65 (not _let_62))) (let ((_let_66 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_67 (tptp.star _let_66))) (let ((_let_68 (tptp.leq _let_67 _let_66))) (let ((_let_69 (tptp.multiplication tptp.one _let_67))) (let ((_let_70 (= _let_67 _let_69))) (let ((_let_71 (tptp.leq _let_69 _let_66))) (let ((_let_72 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 (tptp.leq (tptp.addition (tptp.multiplication _let_66 _let_66) tptp.one) _let_66))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_71))) (let ((_let_78 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication C A) B) C)) (tptp.leq (tptp.multiplication B (tptp.star A)) C))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_81 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_82 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_81))) (let ((_let_83 (tptp.addition tptp.one _let_82))) (let ((_let_84 (= _let_81 _let_83))) (let ((_let_85 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_66))) (let ((_let_86 (tptp.addition _let_85 tptp.one))) (let ((_let_87 (= _let_66 _let_86))) (let ((_let_88 (tptp.multiplication _let_66 tptp.zero))) (let ((_let_89 (tptp.addition _let_81 _let_88))) (let ((_let_90 (= _let_66 _let_89))) (let ((_let_91 (tptp.multiplication _let_81 tptp.one))) (let ((_let_92 (= _let_81 _let_91))) (let ((_let_93 (tptp.addition _let_81 _let_81))) (let ((_let_94 (= _let_81 _let_93))) (let ((_let_95 (tptp.multiplication tptp.zero _let_66))) (let ((_let_96 (= tptp.zero _let_95))) (let ((_let_97 (tptp.multiplication _let_88 _let_66))) (let ((_let_98 (= (tptp.multiplication _let_66 _let_95) _let_97))) (let ((_let_99 (tptp.addition _let_81 tptp.one))) (let ((_let_100 (tptp.addition tptp.one _let_81))) (let ((_let_101 (= _let_100 _let_99))) (let ((_let_102 (tptp.multiplication _let_81 _let_85))) (let ((_let_103 (= (tptp.multiplication _let_81 _let_86) (tptp.addition _let_102 _let_91)))) (let ((_let_104 (= (tptp.addition tptp.one _let_83) (tptp.addition _let_17 _let_82)))) (let ((_let_105 (tptp.addition _let_102 _let_81))) (let ((_let_106 (= (tptp.addition _let_102 _let_93) (tptp.addition _let_105 _let_81)))) (let ((_let_107 (= (tptp.addition _let_102 _let_99) (tptp.addition _let_105 tptp.one)))) (let ((_let_108 (tptp.multiplication tptp.one _let_66))) (let ((_let_109 (tptp.multiplication _let_81 _let_66))) (let ((_let_110 (= (tptp.multiplication _let_99 _let_66) (tptp.addition _let_109 _let_108)))) (let ((_let_111 (= (tptp.multiplication _let_89 _let_66) (tptp.addition _let_109 _let_97)))) (let ((_let_112 (= (tptp.addition _let_109 _let_89) (tptp.addition (tptp.addition _let_109 _let_81) _let_88)))) (let ((_let_113 (= _let_66 _let_108))) (let ((_let_114 (tptp.leq _let_109 _let_66))) (let ((_let_115 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (_let_115))) (let ((_let_118 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_118) :args _let_45)) _let_44 :args (_let_84 false _let_43)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_118) :args _let_41)) _let_42 :args (_let_87 false _let_4)))) (let ((_let_121 (_let_3))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args _let_118) :args _let_121)) _let_122 :args (_let_90 false _let_3)))) (let ((_let_124 (_let_66 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_125 (_let_13))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_82 tptp.one tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_55 :args (_let_104 false _let_15)))) (let ((_let_128 (_let_9))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args _let_124) :args _let_74)) _let_73 :args (_let_113 false _let_72)))) (let ((_let_131 (tptp.leq (tptp.addition _let_85 _let_66) _let_66))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_114))) (let ((_let_134 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A C) B) C)) (tptp.leq (tptp.multiplication (tptp.star A) B) C))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (= (tptp.addition _let_85 _let_100) (tptp.addition _let_86 _let_81)))) (let ((_let_137 (= (tptp.addition _let_66 _let_89) (tptp.addition (tptp.addition _let_66 _let_81) _let_88)))) (let ((_let_138 (= (tptp.addition _let_108 _let_81) (tptp.addition _let_81 _let_108)))) (let ((_let_139 (= (tptp.addition _let_85 _let_89) (tptp.addition (tptp.addition _let_85 _let_81) _let_88)))) (let ((_let_140 (= _let_66 (tptp.addition _let_66 _let_66)))) (let ((_let_141 (tptp.leq _let_66 _let_66))) (let ((_let_142 (tptp.multiplication _let_66 tptp.one))) (let ((_let_143 (= (tptp.multiplication _let_66 _let_17) (tptp.addition _let_142 _let_142)))) (let ((_let_144 (= _let_66 _let_142))) (let ((_let_145 (not _let_18))) (let ((_let_146 (and _let_18 _let_144 _let_143))) (let ((_let_147 (APPLY_UF tptp.addition))) (let ((_let_148 (ASSUME :args (_let_144)))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (ASSUME :args (_let_143)))) (let ((_let_151 (APPLY_UF tptp.multiplication))) (let ((_let_152 (ASSUME :args (_let_18)))) (let ((_let_153 (REFL :args (_let_66)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_146)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_148 _let_150 _let_152) (SCOPE (TRANS _let_148 (CONG _let_153 (SYMM (SYMM _let_152)) :args _let_151) (SYMM (SYMM _let_150)) (CONG _let_149 _let_149 :args _let_147)) :args (_let_144 _let_143 _let_18))) :args (_let_18 _let_144 _let_143))) :args (true _let_146)) :args ((or _let_145 (not _let_144) _let_140 (not _let_143)))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args _let_124) :args _let_49)) _let_48 :args (_let_144 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_66 tptp.one tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_52)) _let_53 :args (_let_143 false _let_10)) :args (_let_140 false _let_18 false _let_144 false _let_143)))) (let ((_let_155 (= _let_141 _let_140))) (let ((_let_156 (not _let_140))) (let ((_let_157 (not _let_139))) (let ((_let_158 (not _let_138))) (let ((_let_159 (not _let_113))) (let ((_let_160 (not _let_137))) (let ((_let_161 (not _let_136))) (let ((_let_162 (not _let_104))) (let ((_let_163 (not _let_141))) (let ((_let_164 (not _let_90))) (let ((_let_165 (not _let_87))) (let ((_let_166 (not _let_84))) (let ((_let_167 (or))) (let ((_let_168 (REFL :args (_let_162)))) (let ((_let_169 (REFL :args (_let_159)))) (let ((_let_170 (REFL :args (_let_145)))) (let ((_let_171 (REFL :args (_let_164)))) (let ((_let_172 (REFL :args (_let_165)))) (let ((_let_173 (REFL :args (_let_166)))) (let ((_let_174 (ASSUME :args (_let_141)))) (let ((_let_175 (APPLY_UF tptp.leq))) (let ((_let_176 (ASSUME :args (_let_140)))) (let ((_let_177 (ASSUME :args (_let_90)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (ASSUME :args (_let_137)))) (let ((_let_180 (REFL :args (_let_88)))) (let ((_let_181 (REFL :args (_let_81)))) (let ((_let_182 (ASSUME :args (_let_87)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (CONG _let_183 _let_181 :args _let_147))) (let ((_let_185 (ASSUME :args (_let_113)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (ASSUME :args (_let_138)))) (let ((_let_188 (TRANS (SYMM _let_187) (CONG (TRANS _let_186 _let_182) _let_181 :args _let_147) _let_184))) (let ((_let_189 (ASSUME :args (_let_136)))) (let ((_let_190 (ASSUME :args (_let_84)))) (let ((_let_191 (REFL :args (tptp.one)))) (let ((_let_192 (CONG _let_191 (SYMM _let_190) :args _let_147))) (let ((_let_193 (ASSUME :args (_let_104)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (CONG _let_152 (REFL :args (_let_82)) :args _let_147))) (let ((_let_196 (REFL :args (_let_85)))) (let ((_let_197 (ASSUME :args (_let_139)))) (let ((_let_198 (ASSUME :args (_let_132)))) (let ((_let_199 (not _let_112))) (let ((_let_200 (not _let_111))) (let ((_let_201 (not _let_110))) (let ((_let_202 (not _let_107))) (let ((_let_203 (not _let_106))) (let ((_let_204 (not _let_114))) (let ((_let_205 (not _let_103))) (let ((_let_206 (not _let_101))) (let ((_let_207 (not _let_98))) (let ((_let_208 (not _let_96))) (let ((_let_209 (not _let_94))) (let ((_let_210 (not _let_92))) (let ((_let_211 (not _let_80))) (let ((_let_212 (and _let_80 _let_84 _let_87 _let_90 _let_92 _let_101 _let_94 _let_18 _let_96 _let_113 _let_98 _let_103 _let_104 _let_106 _let_107 _let_110 _let_111 _let_76 _let_112))) (let ((_let_213 (ASSUME :args (_let_76)))) (let ((_let_214 (ASSUME :args (_let_111)))) (let ((_let_215 (ASSUME :args (_let_98)))) (let ((_let_216 (SYMM (SYMM _let_215)))) (let ((_let_217 (ASSUME :args (_let_96)))) (let ((_let_218 (CONG _let_153 (SYMM (SYMM _let_217)) :args _let_151))) (let ((_let_219 (ASSUME :args (_let_80)))) (let ((_let_220 (REFL :args (_let_109)))) (let ((_let_221 (CONG _let_220 (TRANS (CONG _let_153 (SYMM _let_219) :args _let_151) _let_218 _let_216) :args _let_147))) (let ((_let_222 (CONG _let_181 _let_183 :args _let_151))) (let ((_let_223 (ASSUME :args (_let_103)))) (let ((_let_224 (SYMM _let_223))) (let ((_let_225 (ASSUME :args (_let_92)))) (let ((_let_226 (REFL :args (_let_102)))) (let ((_let_227 (CONG _let_226 (SYMM (SYMM _let_225)) :args _let_147))) (let ((_let_228 (ASSUME :args (_let_94)))) (let ((_let_229 (ASSUME :args (_let_106)))) (let ((_let_230 (TRANS (SYMM _let_222) _let_223 (SYMM _let_227)))) (let ((_let_231 (ASSUME :args (_let_112)))) (let ((_let_232 (ASSUME :args (_let_110)))) (let ((_let_233 (ASSUME :args (_let_101)))) (let ((_let_234 (TRANS _let_190 _let_195 _let_194 _let_192 (SYMM (SYMM _let_233))))) (let ((_let_235 (ASSUME :args (_let_107)))) (let ((_let_236 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_let_256 _let_257 (CONG _let_152 (REFL :args (_let_20)) :args _let_147) (SYMM _let_258) (CONG _let_191 (TRANS (SYMM _let_257) (SYMM _let_256) (SYMM _let_255)) :args _let_147)))) (let ((_let_260 (CONG _let_259 (REFL :args (_let_31)) :args _let_147))) (let ((_let_261 (SYMM _let_249))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_245)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_258 _let_252 _let_250 _let_254 _let_246 _let_256 _let_257 _let_152) (SCOPE (TRANS _let_246 (SYMM _let_251) _let_252 (CONG (TRANS (SYMM _let_259) _let_255) (TRANS (CONG _let_248 (TRANS _let_261 _let_250 _let_260 _let_253 _let_251 _let_247) :args _let_151) _let_261 _let_250 _let_260 _let_253 _let_251 _let_247) :args _let_147)) :args (_let_36 _let_34 _let_33 _let_28 _let_26 _let_22 _let_30 _let_18))) :args (_let_18 _let_22 _let_26 _let_28 _let_30 _let_33 _let_34 _let_36))) :args (true _let_245)) :args ((or _let_145 (not _let_22) (not _let_26) (not _let_28) (not 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(SCOPE (INSTANTIATE _let_55 :args (_let_88 _let_81 _let_66 QUANTIFIERS_INST_CBQI_PROP)) :args _let_54)) _let_55 :args (_let_137 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_81 tptp.one _let_85 QUANTIFIERS_INST_CBQI_PROP)) :args _let_54)) _let_55 :args (_let_136 false _let_15)) _let_127 _let_40 _let_123 _let_120 _let_119 :args (_let_131 false _let_141 false _let_140 false _let_139 false _let_138 false _let_113 false _let_137 false _let_136 false _let_104 false _let_18 false _let_90 false _let_87 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_66 _let_66 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_134))) _let_135 :args (_let_133 false _let_134)) :args (_let_114 false _let_131 false _let_133)) _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_88 _let_81 _let_109 QUANTIFIERS_INST_CBQI_PROP)) :args _let_54)) _let_55 :args (_let_112 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_81 _let_88 _let_66 QUANTIFIERS_INST_CBQI_PROP)) :args _let_128)) _let_129 :args (_let_111 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_81 tptp.one _let_66 QUANTIFIERS_INST_CBQI_PROP)) :args _let_128)) _let_129 :args (_let_110 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.one _let_81 _let_102 QUANTIFIERS_INST_CBQI_PROP)) :args _let_54)) _let_55 :args (_let_107 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_81 _let_81 _let_102 QUANTIFIERS_INST_CBQI_PROP)) :args _let_54)) _let_55 :args (_let_106 false _let_15)) _let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_81 _let_85 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_52)) _let_53 :args (_let_103 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_81 tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50))) _let_51 :args (_let_101 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_66 tptp.zero _let_66 QUANTIFIERS_INST_CBQI_PROP)) :args _let_125)) _let_126 :args (_let_98 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args _let_124) :args _let_117)) _let_116 :args (_let_96 false _let_115)) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_81 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_38 :args (_let_94 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_81 QUANTIFIERS_INST_CBQI_PROP)) :args _let_49)) _let_48 :args (_let_92 false _let_47)) _let_123 _let_120 _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args _let_118) :args _let_117)) _let_116 :args (_let_80 false _let_115)) :args (_let_75 false _let_114 false _let_113 false _let_112 false _let_111 false _let_110 false _let_107 false _let_106 false _let_104 false _let_103 false _let_101 false _let_98 false _let_96 false _let_18 false _let_94 false _let_92 false _let_90 false _let_87 false _let_84 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_66 tptp.one _let_66 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_78))) _let_79 :args (_let_77 false _let_78)) :args (_let_71 false _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_67 QUANTIFIERS_INST_CBQI_PROP)) :args _let_74)) _let_73 :args (_let_70 false _let_72)) :args (_let_68 false _let_71 false _let_70)) :args (_let_64 false _let_68)) :args (_let_65 false _let_64)) :args (_let_63 true _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_19 _let_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_61)) _let_60 :args (_let_57 false _let_59)) :args (_let_58 true _let_56 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_31 _let_27 tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_55 :args (_let_34 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_19 tptp.one _let_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_52)) _let_53 :args (_let_33 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_20 tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_51 :args (_let_30 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args _let_46) :args _let_49)) _let_48 :args (_let_28 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_46) :args _let_45)) _let_44 :args (_let_26 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_41)) _let_42 :args (_let_22 false _let_4)) _let_40 :args (false false _let_36 true _let_35 false _let_34 false _let_33 false _let_30 false _let_28 false _let_26 false _let_22 false _let_18)) :args (_let_16 _let_15 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))) _let_6 _let_5 _let_4 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.80/23.07 )
% 22.80/23.07 % SZS output end Proof for KLE145+2
% 22.80/23.07 % cvc5---1.0.5 exiting
% 22.80/23.07 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------