TSTP Solution File: KLE160+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE160+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 05:27:30 EDT 2023
% Result : Theorem 26.39s 26.57s
% Output : Proof 26.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE160+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n011.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 11:01:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 26.39/26.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.FPfuV5BuOX/cvc5---1.0.5_2852.p...
% 26.39/26.57 ------- get file name : TPTP file name is KLE160+1
% 26.39/26.57 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2852.smt2...
% 26.39/26.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.39/26.57 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.39/26.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.39/26.57 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.39/26.57 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.39/26.57 % SZS status Theorem for KLE160+1
% 26.39/26.57 % SZS output start Proof for KLE160+1
% 26.39/26.57 (
% 26.39/26.57 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (tptp.leq (tptp.multiplication X0 X1) (tptp.multiplication X1 X2)) (tptp.leq (tptp.multiplication (tptp.star X0) X1) (tptp.multiplication X1 (tptp.star X2)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_3 (forall ((A $$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_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_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 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_14))) (let ((_let_16 (tptp.addition tptp.one _let_15))) (let ((_let_17 (= _let_14 _let_16))) (let ((_let_18 (tptp.multiplication _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (tptp.addition tptp.one _let_18))) (let ((_let_20 (= _let_14 _let_19))) (let ((_let_21 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_22 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (tptp.addition _let_22 _let_21))) (let ((_let_24 (= _let_21 _let_23))) (let ((_let_25 (tptp.addition _let_15 tptp.one))) (let ((_let_26 (= _let_16 _let_25))) (let ((_let_27 (tptp.addition _let_18 tptp.one))) (let ((_let_28 (= _let_19 _let_27))) (let ((_let_29 (= _let_23 (tptp.addition _let_21 _let_22)))) (let ((_let_30 (tptp.multiplication _let_22 _let_14))) (let ((_let_31 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_32 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_31))) (let ((_let_33 (= _let_32 _let_30))) (let ((_let_34 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18))) (let ((_let_35 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one))) (let ((_let_36 (tptp.addition _let_35 _let_34))) (let ((_let_37 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19) _let_36))) (let ((_let_38 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_18))) (let ((_let_39 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one))) (let ((_let_40 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19) (tptp.addition _let_39 _let_38)))) (let ((_let_41 (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_42 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_43 (tptp.addition _let_42 _let_41))) (let ((_let_44 (= (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_43))) (let ((_let_45 (tptp.addition _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_46 (tptp.addition _let_45 _let_31))) (let ((_let_47 (= _let_31 _let_46))) (let ((_let_48 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35))) (let ((_let_49 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_39))) (let ((_let_50 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_42))) (let ((_let_51 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31))) (let ((_let_52 (= (tptp.addition _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_51))) (let ((_let_53 (tptp.addition _let_41 _let_42))) (let ((_let_54 (= _let_43 _let_53))) (let ((_let_55 (tptp.addition _let_34 _let_35))) (let ((_let_56 (= _let_36 _let_55))) (let ((_let_57 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15))) (let ((_let_58 (= (tptp.addition _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_57))) (let ((_let_59 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_27) (tptp.addition _let_38 _let_39)))) (let ((_let_60 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_41))) (let ((_let_61 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_43) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_42) _let_60)))) (let ((_let_62 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15))) (let ((_let_63 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25) (tptp.addition _let_62 _let_35)))) (let ((_let_64 (= _let_46 (tptp.addition _let_32 _let_51)))) (let ((_let_65 (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_66 (= _let_38 _let_65))) (let ((_let_67 (= (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition _let_42 _let_65)))) (let ((_let_68 (= (tptp.multiplication (tptp.addition tptp.one _let_14) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition _let_42 _let_18)))) (let ((_let_69 (tptp.multiplication _let_21 tptp.one))) (let ((_let_70 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_39) _let_69))) (let ((_let_71 (= _let_34 (tptp.multiplication _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_72 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_38) (tptp.multiplication _let_21 _let_18)))) (let ((_let_73 (tptp.addition _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_74 (= (tptp.addition _let_34 _let_73) (tptp.addition _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_75 (= (tptp.addition _let_41 (tptp.addition _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.addition _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_76 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_57) (tptp.addition _let_21 _let_62)))) (let ((_let_77 (= _let_42 (tptp.addition _let_42 _let_42)))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_79 (= (tptp.multiplication _let_23 _let_14) (tptp.addition _let_30 (tptp.multiplication _let_21 _let_14))))) (let ((_let_80 (= (tptp.multiplication _let_21 _let_16) (tptp.addition _let_69 (tptp.multiplication _let_21 _let_15))))) (let ((_let_81 (= (tptp.addition _let_32 _let_55) (tptp.addition (tptp.addition _let_32 _let_34) _let_35)))) (let ((_let_82 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication A _let_1))))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (tptp.leq _let_22 _let_21))) (let ((_let_87 (= _let_86 _let_24))) (let ((_let_88 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.leq A B)))) (let ((_let_92 (tptp.leq (tptp.multiplication (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_31))) (let ((_let_93 (not _let_86))) (let ((_let_94 (or _let_93 _let_92))) (let ((_let_95 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.leq (tptp.multiplication X0 X1) (tptp.multiplication X1 X2))) (tptp.leq (tptp.multiplication (tptp.star X0) X1) (tptp.multiplication X1 (tptp.star X2))))))) (let ((_let_96 (not _let_94))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (or))) (let ((_let_99 (not _let_95))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_97) :args (_let_99))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_95))) (REFL :args (_let_96)) :args _let_98)) _let_97 :args (_let_96 true _let_95)))) (let ((_let_101 (_let_13))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 ((tptp.addition A B)))) (let ((_let_104 (_let_10))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_107 (_let_7))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_110 (_let_6))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (tptp.leq _let_45 _let_31))) (let ((_let_113 (= _let_112 _let_47))) (let ((_let_114 (not _let_47))) (let ((_let_115 (not _let_112))) (let ((_let_116 (or _let_115 _let_92))) (let ((_let_117 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A C) B) C)) (tptp.leq (tptp.multiplication (tptp.star A) B) C))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (_let_119))) (let ((_let_122 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_123 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_124 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_12))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_129 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (_let_129))) (let ((_let_132 (not _let_81))) (let ((_let_133 (not _let_80))) (let ((_let_134 (not _let_79))) (let ((_let_135 (not _let_78))) (let ((_let_136 (not _let_77))) (let ((_let_137 (not _let_76))) (let ((_let_138 (not _let_75))) (let ((_let_139 (not _let_74))) (let ((_let_140 (not _let_72))) (let ((_let_141 (not _let_71))) (let ((_let_142 (not _let_70))) (let ((_let_143 (not _let_68))) (let ((_let_144 (not _let_67))) (let ((_let_145 (not _let_66))) (let ((_let_146 (not _let_64))) (let ((_let_147 (not _let_63))) (let ((_let_148 (not _let_61))) (let ((_let_149 (not _let_59))) (let ((_let_150 (not _let_58))) (let ((_let_151 (not _let_56))) (let ((_let_152 (not _let_54))) (let ((_let_153 (not _let_52))) (let ((_let_154 (not _let_50))) (let ((_let_155 (not _let_49))) (let ((_let_156 (not _let_48))) (let ((_let_157 (not _let_44))) (let ((_let_158 (not _let_40))) (let ((_let_159 (not _let_37))) (let ((_let_160 (not _let_33))) (let ((_let_161 (not _let_29))) (let ((_let_162 (not _let_28))) (let ((_let_163 (not _let_26))) (let ((_let_164 (not _let_24))) (let ((_let_165 (not _let_20))) (let ((_let_166 (not _let_17))) (let ((_let_167 (_let_132))) (let ((_let_168 (ASSUME :args (_let_81)))) (let ((_let_169 (ASSUME :args (_let_114)))) (let ((_let_170 (ASSUME :args (_let_64)))) (let ((_let_171 (APPLY_UF tptp.addition))) (let ((_let_172 (ASSUME :args (_let_52)))) (let ((_let_173 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_174 (APPLY_UF tptp.multiplication))) (let ((_let_175 (ASSUME :args (_let_20)))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (CONG _let_173 _let_176 :args _let_174))) (let ((_let_178 (ASSUME :args (_let_37)))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (ASSUME :args (_let_56)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (ASSUME :args (_let_74)))) (let ((_let_183 (ASSUME :args (_let_44)))) (let ((_let_184 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_185 (CONG _let_176 _let_184 :args _let_174))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (CONG _let_173 (TRANS _let_186 _let_183) :args _let_174))) (let ((_let_188 (SYMM _let_187))) (let ((_let_189 (CONG _let_184 _let_176 :args _let_174))) (let ((_let_190 (ASSUME :args (_let_40)))) (let ((_let_191 (ASSUME :args (_let_66)))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (ASSUME :args (_let_49)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (ASSUME :args (_let_50)))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 (TRANS _let_196 (SYMM _let_194)))) (let ((_let_198 (CONG _let_197 _let_192 :args _let_171))) (let ((_let_199 (ASSUME :args (_let_67)))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (ASSUME :args (_let_17)))) (let ((_let_202 (CONG _let_201 _let_184 :args _let_174))) (let ((_let_203 (CONG _let_173 (TRANS (SYMM _let_183) _let_185 _let_202 (SYMM _let_200) _let_198 (SYMM _let_190) _let_189) :args _let_174))) (let ((_let_204 (ASSUME :args (_let_28)))) (let ((_let_205 (ASSUME :args (_let_59)))) (let ((_let_206 (ASSUME :args (_let_77)))) (let ((_let_207 (SYMM _let_202))) (let ((_let_208 (SYMM _let_198))) (let ((_let_209 (SYMM _let_189))) (let ((_let_210 (TRANS _let_209 _let_190 _let_208 _let_200 _let_207))) (let ((_let_211 (CONG _let_210 _let_184 :args _let_174))) (let ((_let_212 (ASSUME :args (_let_75)))) (let ((_let_213 (ASSUME :args (_let_54)))) (let ((_let_214 (ASSUME :args (_let_58)))) (let ((_let_215 (CONG _let_196 (SYMM _let_210) :args _let_171))) (let ((_let_216 (ASSUME :args (_let_68)))) (let ((_let_217 (SYMM _let_216))) (let ((_let_218 (ASSUME :args (_let_76)))) (let ((_let_219 (ASSUME :args (_let_71)))) (let ((_let_220 (REFL :args (_let_21)))) (let ((_let_221 (TRANS (CONG _let_220 _let_219 :args _let_171) (CONG _let_220 (TRANS (SYMM _let_219) _let_187 _let_203) :args _let_171) (SYMM _let_218) (CONG _let_173 (TRANS (SYMM _let_215) _let_217) :args _let_174) (CONG _let_173 (TRANS (SYMM _let_217) _let_215 (SYMM _let_214)) :args _let_174) (CONG _let_173 (TRANS (CONG (TRANS _let_209 _let_190 _let_208 _let_200 _let_207 _let_186 _let_183 (SYMM (SYMM _let_213))) _let_184 :args _let_171) (SYMM _let_212) (CONG (SYMM _let_211) (TRANS (CONG (REFL :args (_let_42)) _let_195 :args _let_171) (SYMM _let_206)) :args _let_171) (CONG _let_192 _let_197 :args _let_171) (SYMM _let_205) (CONG _let_184 (TRANS (SYMM _let_204) _let_176) :args _let_174)) :args _let_174) (SYMM _let_203) _let_188))) (let ((_let_222 (ASSUME :args (_let_48)))) (let ((_let_223 (SYMM _let_222))) (let ((_let_224 (ASSUME :args (_let_78)))) (let ((_let_225 (TRANS _let_187 _let_203))) (let ((_let_226 (ASSUME :args (_let_63)))) (let ((_let_227 (ASSUME :args (_let_26)))) (let ((_let_228 (CONG _let_173 (TRANS (SYMM _let_227) (SYMM _let_201)) :args _let_174))) (let ((_let_229 (ASSUME :args (_let_61)))) (let ((_let_230 (ASSUME :args (_let_24)))) (let ((_let_231 (SYMM _let_230))) (let ((_let_232 (ASSUME :args (_let_29)))) (let ((_let_233 (TRANS (SYMM _let_232) _let_231))) (let ((_let_234 (CONG (TRANS _let_233 (CONG _let_173 _let_195 :args _let_174)) 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_let_213 _let_214 _let_216 _let_218 _let_219 _let_222 _let_224) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (TRANS (CONG (SYMM (SYMM _let_242)) (TRANS _let_187 _let_229 (SYMM _let_234) (SYMM _let_237) _let_239 (SYMM _let_240)) :args _let_171) (SYMM _let_241) (CONG _let_231 (REFL :args (_let_14)) :args _let_174) _let_240 (SYMM _let_239) _let_237 _let_234 (SYMM _let_229) _let_188) _let_225) (REFL :args (_let_35)) :args _let_171) (SYMM _let_226) _let_228) (TRANS (CONG (REFL :args (_let_32)) (TRANS _let_181 _let_179 _let_177 (SYMM _let_228) _let_226 (CONG (TRANS (SYMM _let_225) (SYMM _let_221)) (TRANS _let_223 (SYMM (SYMM _let_224)) (CONG (SYMM _let_223) _let_173 :args _let_171)) :args _let_171) (CONG _let_221 (REFL :args (_let_73)) :args _let_171) (SYMM (SYMM _let_182)) (CONG (TRANS _let_181 _let_179 _let_177) _let_173 :args _let_171) (SYMM (SYMM _let_172))) :args _let_171) (SYMM _let_170)) :args (=)) (FALSE_INTRO _let_169)) :args ((= _let_81 false)))) :args (_let_17 _let_26 _let_63 _let_20 _let_40 _let_49 _let_50 _let_66 _let_67 _let_44 _let_61 _let_24 _let_29 _let_70 _let_72 _let_80 _let_79 _let_33 _let_114 _let_64 _let_52 _let_37 _let_56 _let_74 _let_28 _let_59 _let_77 _let_75 _let_54 _let_58 _let_68 _let_76 _let_71 _let_48 _let_78)))) :args (_let_17 _let_20 _let_24 _let_26 _let_28 _let_29 _let_33 _let_37 _let_40 _let_44 _let_114 _let_48 _let_49 _let_50 _let_52 _let_54 _let_56 _let_58 _let_59 _let_61 _let_63 _let_64 _let_66 _let_67 _let_68 _let_70 _let_71 _let_72 _let_74 _let_75 _let_76 _let_77 _let_78 _let_79 _let_80 _let_81)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_167))) (TRUE_INTRO (SYMM (SYMM _let_168))))) :args (_let_81 _let_132)) :args ((not (and _let_17 _let_20 _let_24 _let_26 _let_28 _let_29 _let_33 _let_37 _let_40 _let_44 _let_114 _let_48 _let_49 _let_50 _let_52 _let_54 _let_56 _let_58 _let_59 _let_61 _let_63 _let_64 _let_66 _let_67 _let_68 _let_70 _let_71 _let_72 _let_74 _let_75 _let_76 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_let_165 _let_164 _let_47 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (_let_35 _let_34 _let_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_126)) _let_127 :args (_let_81 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_21 tptp.one _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_107)) _let_108 :args (_let_80 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_22 _let_21 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_111 :args (_let_79 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args _let_122) :args _let_131)) _let_130 :args (_let_78 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_42 QUANTIFIERS_INST_CBQI_PROP)) :args _let_131)) _let_130 :args (_let_77 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_107)) _let_108 :args (_let_76 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_42 _let_41 QUANTIFIERS_INST_E_MATCHING _let_128)) :args _let_126)) _let_127 :args (_let_75 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35 _let_34 QUANTIFIERS_INST_E_MATCHING _let_128)) :args _let_126)) _let_127 :args (_let_74 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_18 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104)) _let_105 :args (_let_72 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104)) _let_105 :args (_let_71 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104)) _let_105 :args (_let_70 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.one _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) :args _let_110)) _let_111 :args (_let_68 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.one _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_111 :args (_let_67 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_66 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_127 :args (_let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_32 QUANTIFIERS_INST_CBQI_PROP)) :args _let_126))) _let_127 :args (_let_64 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_107)) _let_108 :args (_let_63 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_42 _let_41 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_107)) _let_108 :args (_let_61 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_18 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_107)) _let_108 :args (_let_59 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_58 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_35 _let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_56 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_42 _let_41 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_54 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_52 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args _let_123) :args (_let_124))) _let_125 :args (_let_50 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args _let_123) :args _let_121)) _let_120 :args (_let_49 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args _let_122) :args _let_121)) _let_120 :args (_let_48 false _let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_113)) :args ((or _let_112 _let_114 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_92 _let_115 (not _let_116)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_94 1)) _let_100 :args ((not _let_92) true _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication (tptp.star A) B) C) true))))) :args (_let_117))) _let_118 :args (_let_116 false _let_117)) :args (_let_115 true _let_92 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_45 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_113 false _let_88)) :args (_let_114 true _let_112 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.one _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.addition A B) C)))) :args _let_110)) _let_111 :args (_let_44 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_107)) _let_108 :args (_let_40 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_107)) _let_108 :args (_let_37 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_104)) _let_105 :args (_let_33 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_22 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_29 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_28 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.one _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_26 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_87)) :args ((or _let_93 _let_24 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_94 0)) (CONG (REFL :args (_let_94)) (MACRO_SR_PRED_INTRO :args ((= (not _let_93) _let_86))) :args _let_98)) :args ((or _let_86 _let_94))) _let_100 :args (_let_86 true _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_22 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_87 false _let_88)) :args (_let_24 false _let_86 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args (_let_84))) _let_85 :args (_let_20 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args (_let_82))) _let_83 :args (_let_17 false _let_82)) :args (false false _let_81 false _let_80 false _let_79 false _let_78 false _let_77 false _let_76 false _let_75 false _let_74 false _let_72 false _let_71 false _let_70 false _let_68 false _let_67 false _let_66 false _let_64 false _let_63 false _let_61 false _let_59 false _let_58 false _let_56 false _let_54 false _let_52 false _let_50 false _let_49 false _let_48 true _let_47 false _let_44 false _let_40 false _let_37 false _let_33 false _let_29 false _let_28 false _let_26 false _let_24 false _let_20 false _let_17)) :args (_let_13 _let_12 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_5 _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.39/26.57 )
% 26.39/26.57 % SZS output end Proof for KLE160+1
% 26.39/26.57 % cvc5---1.0.5 exiting
% 26.39/26.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------