TSTP Solution File: KLE145-10 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE145-10 : TPTP v8.1.2. Released v7.3.0.
% 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 05:27:25 EDT 2023
% Result : Unsatisfiable 26.56s 26.80s
% Output : Proof 26.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE145-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n026.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 11:56:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.kBIsHmZc8z/cvc5---1.0.5_21800.p...
% 0.21/0.50 ------- get file name : TPTP file name is KLE145-10
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21800.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.40/10.61 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.45/15.64 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.35/20.67 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.52/25.71 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.56/26.80 % SZS status Unsatisfiable for KLE145-10
% 26.56/26.80 % SZS output start Proof for KLE145-10
% 26.56/26.81 (
% 26.56/26.81 (let ((_let_1 (tptp.strong_iteration tptp.sK1_goals_X0))) (let ((_let_2 (tptp.star _let_1))) (let ((_let_3 (not (= _let_2 _let_1)))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true) tptp.true)))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B) B)))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_8 (forall ((A $$unsorted) (C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) tptp.true (tptp.leq (tptp.multiplication (tptp.star A) B) C) tptp.true) tptp.true)))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_10 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_17 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_18 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq3 A A B C) B)))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))))) (let ((_let_25 (tptp.multiplication _let_1 _let_2))) (let ((_let_26 (tptp.addition _let_25 _let_1))) (let ((_let_27 (tptp.leq _let_25 _let_1))) (let ((_let_28 (= _let_26 (tptp.ifeq2 _let_27 _let_27 _let_26 _let_1)))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (tptp.multiplication _let_2 tptp.one))) (let ((_let_31 (tptp.leq _let_30 _let_1))) (let ((_let_32 (tptp.multiplication _let_1 _let_1))) (let ((_let_33 (tptp.leq (tptp.addition _let_32 tptp.one) _let_1))) (let ((_let_34 (= _let_31 (tptp.ifeq _let_33 _let_33 _let_31 tptp.true)))) (let ((_let_35 (tptp.multiplication tptp.one _let_1))) (let ((_let_36 (tptp.star tptp.sK1_goals_X0))) (let ((_let_37 (tptp.multiplication _let_36 _let_1))) (let ((_let_38 (= (tptp.multiplication (tptp.addition _let_36 tptp.one) _let_1) (tptp.addition _let_37 _let_35)))) (let ((_let_39 (tptp.multiplication _let_1 tptp.zero))) (let ((_let_40 (tptp.addition _let_39 _let_1))) (let ((_let_41 (= (tptp.addition _let_37 _let_40) (tptp.addition (tptp.addition _let_37 _let_39) _let_1)))) (let ((_let_42 (tptp.addition _let_35 tptp.one))) (let ((_let_43 (= (tptp.addition _let_32 _let_42) (tptp.addition (tptp.addition _let_32 _let_35) tptp.one)))) (let ((_let_44 (tptp.multiplication tptp.sK1_goals_X0 _let_36))) (let ((_let_45 (tptp.addition _let_44 tptp.one))) (let ((_let_46 (tptp.addition tptp.one tptp.one))) (let ((_let_47 (= (tptp.addition _let_44 _let_46) (tptp.addition _let_45 tptp.one)))) (let ((_let_48 (tptp.leq _let_37 _let_1))) (let ((_let_49 (tptp.multiplication tptp.sK1_goals_X0 _let_1))) (let ((_let_50 (tptp.addition _let_49 _let_1))) (let ((_let_51 (tptp.leq _let_50 _let_1))) (let ((_let_52 (= _let_48 (tptp.ifeq _let_51 _let_51 _let_48 tptp.true)))) (let ((_let_53 (tptp.addition _let_36 _let_39))) (let ((_let_54 (= (tptp.multiplication _let_53 _let_1) (tptp.addition _let_37 (tptp.multiplication _let_39 _let_1))))) (let ((_let_55 (tptp.addition tptp.one _let_35))) (let ((_let_56 (= (tptp.multiplication _let_55 _let_1) (tptp.addition _let_35 (tptp.multiplication _let_35 _let_1))))) (let ((_let_57 (= tptp.one _let_46))) (let ((_let_58 (= (tptp.addition _let_32 _let_1) (tptp.addition _let_1 _let_32)))) (let ((_let_59 (= _let_32 (tptp.addition _let_32 tptp.zero)))) (let ((_let_60 (tptp.multiplication _let_36 tptp.sK1_goals_X0))) (let ((_let_61 (tptp.addition _let_60 _let_39))) (let ((_let_62 (tptp.addition _let_61 tptp.one))) (let ((_let_63 (tptp.addition tptp.one _let_49))) (let ((_let_64 (= (tptp.addition _let_61 _let_63) (tptp.addition _let_62 _let_49)))) (let ((_let_65 (tptp.addition tptp.one _let_44))) (let ((_let_66 (tptp.multiplication tptp.sK1_goals_X0 _let_39))) (let ((_let_67 (tptp.addition _let_44 _let_66))) (let ((_let_68 (tptp.addition _let_66 _let_65))) (let ((_let_69 (= (tptp.addition _let_44 _let_68) (tptp.addition _let_67 _let_65)))) (let ((_let_70 (= (tptp.addition _let_44 _let_63) (tptp.addition _let_45 _let_49)))) (let ((_let_71 (tptp.multiplication _let_2 _let_1))) (let ((_let_72 (tptp.multiplication _let_36 tptp.one))) (let ((_let_73 (tptp.multiplication _let_2 _let_72))) (let ((_let_74 (tptp.addition _let_73 _let_71))) (let ((_let_75 (= (tptp.addition tptp.one _let_74) (tptp.addition (tptp.addition tptp.one _let_73) _let_71)))) (let ((_let_76 (tptp.multiplication tptp.sK1_goals_X0 _let_72))) (let ((_let_77 (tptp.addition _let_76 _let_49))) (let ((_let_78 (= (tptp.addition tptp.one _let_77) (tptp.addition (tptp.addition tptp.one _let_76) _let_49)))) (let ((_let_79 (= tptp.true (tptp.ifeq _let_33 tptp.true _let_31 tptp.true)))) (let ((_let_80 (= tptp.true (tptp.ifeq _let_51 tptp.true _let_48 tptp.true)))) (let ((_let_81 (tptp.multiplication _let_2 _let_36))) (let ((_let_82 (= (tptp.multiplication _let_2 (tptp.addition _let_36 tptp.zero)) (tptp.addition _let_81 (tptp.multiplication _let_2 tptp.zero))))) (let ((_let_83 (tptp.addition _let_72 _let_1))) (let ((_let_84 (= (tptp.multiplication tptp.sK1_goals_X0 _let_83) _let_77))) (let ((_let_85 (= (tptp.multiplication _let_2 _let_83) _let_74))) (let ((_let_86 (tptp.addition _let_2 tptp.one))) (let ((_let_87 (tptp.multiplication _let_86 _let_1))) (let ((_let_88 (= (tptp.multiplication _let_39 _let_87) (tptp.multiplication (tptp.multiplication _let_39 _let_86) _let_1)))) (let ((_let_89 (= _let_50 (tptp.addition _let_1 _let_49)))) (let ((_let_90 (tptp.addition _let_65 _let_66))) (let ((_let_91 (= _let_90 _let_68))) (let ((_let_92 (= _let_86 (tptp.addition tptp.one _let_2)))) (let ((_let_93 (tptp.addition tptp.one _let_61))) (let ((_let_94 (= _let_93 _let_62))) (let ((_let_95 (= (tptp.addition tptp.one (tptp.addition _let_61 _let_1)) (tptp.addition _let_93 _let_1)))) (let ((_let_96 (= (tptp.addition _let_49 _let_83) (tptp.addition (tptp.addition _let_49 _let_72) _let_1)))) (let ((_let_97 (tptp.multiplication _let_71 _let_1))) (let ((_let_98 (tptp.addition _let_97 tptp.one))) (let ((_let_99 (tptp.addition _let_35 _let_98))) (let ((_let_100 (= (tptp.addition _let_49 _let_99) (tptp.addition (tptp.addition _let_49 _let_35) _let_98)))) (let ((_let_101 (tptp.addition _let_44 tptp.zero))) (let ((_let_102 (= (tptp.addition tptp.one _let_101) (tptp.addition _let_65 tptp.zero)))) (let ((_let_103 (= (tptp.addition _let_72 _let_40) (tptp.addition (tptp.addition _let_72 _let_39) _let_1)))) (let ((_let_104 (tptp.addition _let_39 _let_36))) (let ((_let_105 (= (tptp.addition _let_39 _let_104) (tptp.addition (tptp.addition _let_39 _let_39) _let_36)))) (let ((_let_106 (tptp.addition _let_49 tptp.one))) (let ((_let_107 (tptp.leq _let_106 _let_1))) (let ((_let_108 (tptp.addition _let_106 _let_1))) (let ((_let_109 (= _let_107 (tptp.ifeq3 _let_108 _let_108 _let_107 tptp.true)))) (let ((_let_110 (tptp.multiplication _let_1 _let_71))) (let ((_let_111 (= (tptp.addition _let_110 _let_108) (tptp.addition (tptp.addition _let_110 _let_106) _let_1)))) (let ((_let_112 (tptp.multiplication _let_39 tptp.zero))) (let ((_let_113 (tptp.addition _let_25 tptp.zero))) (let ((_let_114 (= (tptp.multiplication _let_39 _let_113) (tptp.addition (tptp.multiplication _let_39 _let_25) _let_112)))) (let ((_let_115 (tptp.multiplication tptp.zero tptp.zero))) (let ((_let_116 (= (tptp.multiplication _let_113 tptp.zero) (tptp.addition (tptp.multiplication _let_25 tptp.zero) _let_115)))) (let ((_let_117 (= tptp.zero _let_115))) (let ((_let_118 (tptp.multiplication tptp.zero _let_2))) (let ((_let_119 (= tptp.zero _let_118))) (let ((_let_120 (tptp.multiplication _let_25 _let_1))) (let ((_let_121 (tptp.addition tptp.one _let_25))) (let ((_let_122 (= (tptp.multiplication _let_121 _let_1) (tptp.addition _let_35 _let_120)))) (let ((_let_123 (= _let_106 (tptp.addition _let_106 _let_106)))) (let ((_let_124 (tptp.addition _let_71 tptp.one))) (let ((_let_125 (= (tptp.addition _let_71 _let_63) (tptp.addition _let_124 _let_49)))) (let ((_let_126 (tptp.addition _let_25 tptp.one))) (let ((_let_127 (= (tptp.addition _let_25 _let_63) (tptp.addition _let_126 _let_49)))) (let ((_let_128 (= (tptp.addition _let_2 _let_113) (tptp.addition _let_113 _let_2)))) (let ((_let_129 (= _let_55 _let_42))) (let ((_let_130 (= _let_44 _let_101))) (let ((_let_131 (tptp.multiplication _let_39 tptp.one))) (let ((_let_132 (= _let_39 _let_131))) (let ((_let_133 (= _let_2 _let_30))) (let ((_let_134 (tptp.multiplication tptp.one tptp.zero))) (let ((_let_135 (= tptp.zero _let_134))) (let ((_let_136 (= tptp.true (tptp.ifeq3 _let_108 _let_1 _let_107 tptp.true)))) (let ((_let_137 (= _let_1 (tptp.ifeq2 (tptp.leq _let_71 _let_1) tptp.true (tptp.addition _let_71 _let_1) _let_1)))) (let ((_let_138 (= _let_87 (tptp.addition _let_71 _let_35)))) (let ((_let_139 (tptp.multiplication _let_71 tptp.zero))) (let ((_let_140 (= (tptp.multiplication _let_124 tptp.zero) (tptp.addition _let_139 _let_134)))) (let ((_let_141 (= (tptp.multiplication _let_39 _let_124) (tptp.addition (tptp.multiplication _let_39 _let_71) _let_131)))) (let ((_let_142 (= _let_112 (tptp.multiplication _let_1 _let_115)))) (let ((_let_143 (= (tptp.multiplication _let_39 _let_2) (tptp.multiplication _let_1 _let_118)))) (let ((_let_144 (tptp.multiplication _let_2 _let_39))) (let ((_let_145 (= _let_144 _let_139))) (let ((_let_146 (= _let_110 _let_120))) (let ((_let_147 (tptp.addition _let_35 _let_97))) (let ((_let_148 (= _let_99 (tptp.addition _let_147 tptp.one)))) (let ((_let_149 (tptp.addition tptp.one _let_60))) (let ((_let_150 (= _let_93 (tptp.addition _let_149 _let_39)))) (let ((_let_151 (= (tptp.addition tptp.one _let_67) _let_90))) (let ((_let_152 (= (tptp.addition _let_49 _let_2) (tptp.addition _let_2 _let_49)))) (let ((_let_153 (= _let_147 (tptp.addition _let_97 _let_35)))) (let ((_let_154 (= _let_65 _let_45))) (let ((_let_155 (= _let_2 (tptp.multiplication tptp.one _let_2)))) (let ((_let_156 (= _let_1 _let_35))) (let ((_let_157 (= _let_36 _let_72))) (let ((_let_158 (tptp.multiplication _let_1 tptp.one))) (let ((_let_159 (= _let_1 _let_158))) (let ((_let_160 (= _let_25 _let_113))) (let ((_let_161 (= _let_36 _let_149))) (let ((_let_162 (= _let_36 _let_65))) (let ((_let_163 (tptp.addition tptp.one _let_71))) (let ((_let_164 (= (tptp.multiplication _let_163 _let_1) _let_147))) (let ((_let_165 (= (tptp.multiplication tptp.sK1_goals_X0 _let_53) _let_67))) (let ((_let_166 (= (tptp.multiplication _let_2 _let_53) (tptp.addition _let_81 _let_144)))) (let ((_let_167 (= (tptp.multiplication _let_1 _let_163) (tptp.addition _let_158 _let_110)))) (let ((_let_168 (= _let_53 _let_104))) (let ((_let_169 (= _let_106 _let_63))) (let ((_let_170 (= _let_163 _let_124))) (let ((_let_171 (= _let_121 _let_126))) (let ((_let_172 (= _let_1 _let_53))) (let ((_let_173 (= _let_1 _let_106))) (let ((_let_174 (= _let_2 _let_163))) (let ((_let_175 (= _let_2 _let_121))) (let ((_let_176 (= _let_1 _let_2))) (let ((_let_177 (not _let_28))) (let ((_let_178 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_179 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_180 (_let_178))) (let ((_let_181 (_let_12))) (let ((_let_182 (ASSUME :args _let_181))) (let ((_let_183 (_let_19))) (let ((_let_184 (ASSUME :args _let_183))) (let ((_let_185 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_186 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_187 (_let_185))) (let ((_let_188 (_let_20))) (let ((_let_189 (ASSUME :args _let_188))) (let ((_let_190 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_191 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_192 (_let_190))) (let ((_let_193 (forall ((A $$unsorted) (C $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) tptp.true (tptp.leq (tptp.multiplication (tptp.star A) B) C) tptp.true))))) (let ((_let_194 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_195 (_let_193))) (let ((_let_196 (_let_13))) (let ((_let_197 (ASSUME :args _let_196))) (let ((_let_198 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_199 (_let_16))) (let ((_let_200 (ASSUME :args _let_199))) (let ((_let_201 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_202 ((tptp.addition A B)))) (let ((_let_203 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_204 ((tptp.addition A (tptp.addition B C))))) (let ((_let_205 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))))) (let ((_let_206 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_207 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_208 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_209 (_let_207))) (let ((_let_210 (tptp.zero QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_211 (_let_2 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_212 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_213 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_214 (_let_212))) (let ((_let_215 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_216 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_217 (_let_215))) (let ((_let_218 (forall ((A $$unsorted) (B $$unsorted)) (= tptp.true (tptp.ifeq3 (tptp.addition A B) B (tptp.leq A B) tptp.true))))) (let ((_let_219 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_220 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ifeq2 (tptp.leq A B) tptp.true (tptp.addition A B) B))))) (let ((_let_221 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (tptp.one _let_25 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_181)) _let_182 :args (_let_122 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_208 :args _let_211) :args _let_209)) _let_208 :args (_let_119 false _let_207)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_208 :args _let_210) :args _let_209)) _let_208 :args (_let_117 false _let_207)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (_let_25 tptp.zero tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_181)) _let_182 :args (_let_116 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args (_let_39 _let_25 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_196)) _let_197 :args (_let_114 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_110 _let_106 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_111 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_206 :args (_let_108 _let_107 tptp.true QUANTIFIERS_INST_CBQI_PROP)) :args (_let_205))) _let_206 :args (_let_109 false _let_205)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_39 _let_39 _let_36 QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_105 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_72 _let_39 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_103 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (tptp.one _let_44 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_204)) :args _let_183)) _let_184 :args (_let_102 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_49 _let_35 _let_98 QUANTIFIERS_INST_E_MATCHING _let_204)) :args _let_183)) _let_184 :args (_let_100 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_49 _let_72 _let_1 QUANTIFIERS_INST_E_MATCHING _let_204)) :args _let_183)) _let_184 :args (_let_96 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (tptp.one _let_61 _let_1 QUANTIFIERS_INST_E_MATCHING _let_203)) :args _let_183)) _let_184 :args (_let_95 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (tptp.one _let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_202)) :args _let_188)) _let_189 :args (_let_94 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_2 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_202)) :args _let_188)) _let_189 :args (_let_92 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_65 _let_66 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_202)) :args _let_188)) _let_189 :args (_let_91 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_49 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_202)) :args _let_188)) _let_189 :args (_let_89 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_39 _let_86 _let_1 QUANTIFIERS_INST_E_MATCHING _let_201)) :args _let_199)) _let_200 :args (_let_88 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args (_let_2 _let_72 _let_1 QUANTIFIERS_INST_E_MATCHING _let_198)) :args _let_196)) _let_197 :args (_let_85 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args (tptp.sK1_goals_X0 _let_72 _let_1 QUANTIFIERS_INST_E_MATCHING _let_198)) :args _let_196)) _let_197 :args (_let_84 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args (_let_2 _let_36 tptp.zero QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :args _let_196)) _let_197 :args (_let_82 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (tptp.sK1_goals_X0 _let_1 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A C) B)))) :args _let_195)) _let_194 :args (_let_80 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_1 _let_1 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.leq (tptp.multiplication (tptp.star A) B) C)))) :args _let_195)) _let_194 :args (_let_79 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (tptp.one _let_76 _let_49 QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_78 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (tptp.one _let_73 _let_71 QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_75 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_44 tptp.one _let_49 QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_70 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_44 _let_66 _let_65 QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_69 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_61 tptp.one _let_49 QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_64 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (_let_32 QUANTIFIERS_INST_CBQI_PROP)) :args _let_192)) _let_191 :args (_let_59 false _let_190)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_32 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_188)) _let_189 :args (_let_58 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_187)) _let_186 :args (_let_57 false _let_185)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (tptp.one _let_35 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_181)) _let_182 :args (_let_56 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (_let_36 _let_39 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_181)) _let_182 :args (_let_54 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_51 _let_48 tptp.true QUANTIFIERS_INST_CBQI_PROP)) :args _let_180)) _let_179 :args (_let_52 false _let_178)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_44 tptp.one tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_47 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_32 _let_35 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_43 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_37 _let_39 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_183)) _let_184 :args (_let_41 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (_let_36 tptp.one _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_181)) _let_182 :args (_let_38 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_33 _let_31 tptp.true QUANTIFIERS_INST_CBQI_PROP)) :args _let_180)) _let_179 :args (_let_34 false _let_178)) :args (_let_177 true _let_176 false _let_175 false _let_174 false _let_173 false _let_172 false _let_171 false _let_170 false _let_169 false _let_168 false _let_167 false _let_166 false _let_165 false _let_164 false _let_162 false _let_161 false _let_160 false _let_159 false _let_157 false _let_156 false _let_155 false _let_154 false _let_153 false _let_152 false _let_151 false _let_150 false _let_148 false _let_146 false _let_145 false _let_143 false _let_142 false _let_141 false _let_140 false _let_138 false _let_137 false _let_136 false _let_135 false _let_133 false _let_132 false _let_130 false _let_129 false _let_128 false _let_127 false _let_125 false _let_123 false _let_122 false _let_119 false _let_117 false _let_116 false _let_114 false _let_111 false _let_109 false _let_105 false _let_103 false _let_102 false _let_100 false _let_96 false _let_95 false _let_94 false _let_92 false _let_91 false _let_89 false _let_88 false _let_85 false _let_84 false _let_82 false _let_80 false _let_79 false _let_78 false _let_75 false _let_70 false _let_69 false _let_64 false _let_59 false _let_58 false _let_57 false _let_56 false _let_54 false _let_52 false _let_47 false _let_43 false _let_41 false _let_38 false _let_34)) _let_29 :args (false true _let_28 false _let_24)) :args (_let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) tptp.true (tptp.leq (tptp.multiplication B (tptp.star A)) C) tptp.true) tptp.true)) _let_7 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) tptp.true (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)) tptp.true) tptp.true)) _let_6 _let_5 _let_4 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.56/26.81 )
% 26.65/26.82 % SZS output end Proof for KLE145-10
% 26.65/26.82 % cvc5---1.0.5 exiting
% 26.65/26.82 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------