TSTP Solution File: KLE140+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE140+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 98.28s 98.99s
% Output : Proof 98.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE140+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:58:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 98.28/98.99 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.tGvGvtln37/cvc5---1.0.5_12080.p...
% 98.28/98.99 ------- get file name : TPTP file name is KLE140+1
% 98.28/98.99 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12080.smt2...
% 98.28/98.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 98.28/98.99 --- Run --no-e-matching --full-saturate-quant at 5...
% 98.28/98.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 98.28/98.99 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 98.28/98.99 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 98.28/98.99 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 98.28/98.99 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 98.28/98.99 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 98.28/98.99 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 98.28/98.99 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 98.28/98.99 --- Run --relevant-triggers --full-saturate-quant at 5...
% 98.28/98.99 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 98.28/98.99 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 98.28/98.99 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 98.28/98.99 --- Run --no-cbqi --full-saturate-quant at 10...
% 98.28/98.99 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 98.28/98.99 % SZS status Theorem for KLE140+1
% 98.28/98.99 % SZS output start Proof for KLE140+1
% 98.28/98.99 (
% 98.28/98.99 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.leq X0 X1) (tptp.leq (tptp.strong_iteration X0) (tptp.strong_iteration X1))))))) (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) (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 ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_6 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_17 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (= _let_19 _let_21))) (let ((_let_23 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23))) (let ((_let_25 (tptp.addition _let_24 tptp.one))) (let ((_let_26 (= _let_23 _let_25))) (let ((_let_27 (tptp.multiplication _let_23 tptp.zero))) (let ((_let_28 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (tptp.addition _let_28 _let_27))) (let ((_let_30 (= _let_23 _let_29))) (let ((_let_31 (tptp.addition tptp.one _let_24))) (let ((_let_32 (= _let_25 _let_31))) (let ((_let_33 (tptp.multiplication _let_24 tptp.zero))) (let ((_let_34 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27))) (let ((_let_35 (= _let_34 _let_33))) (let ((_let_36 (tptp.multiplication tptp.zero tptp.zero))) (let ((_let_37 (tptp.multiplication _let_27 tptp.zero))) (let ((_let_38 (= _let_37 (tptp.multiplication _let_23 _let_36)))) (let ((_let_39 (tptp.multiplication tptp.one tptp.zero))) (let ((_let_40 (= tptp.zero _let_39))) (let ((_let_41 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_42 (= _let_41 (tptp.addition _let_41 tptp.zero)))) (let ((_let_43 (= tptp.zero _let_36))) (let ((_let_44 (tptp.star _let_28))) (let ((_let_45 (tptp.multiplication tptp.zero _let_44))) (let ((_let_46 (= tptp.zero _let_45))) (let ((_let_47 (= (tptp.addition tptp.zero _let_34) (tptp.addition _let_34 tptp.zero)))) (let ((_let_48 (= (tptp.multiplication _let_24 _let_45) (tptp.multiplication _let_33 _let_44)))) (let ((_let_49 (= (tptp.multiplication _let_31 tptp.zero) (tptp.addition _let_39 _let_33)))) (let ((_let_50 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27))) (let ((_let_51 (tptp.addition _let_50 _let_34))) (let ((_let_52 (= (tptp.multiplication _let_21 _let_27) _let_51))) (let ((_let_53 (tptp.addition _let_50 tptp.one))) (let ((_let_54 (tptp.addition _let_27 _let_53))) (let ((_let_55 (= _let_54 (tptp.addition _let_53 _let_27)))) (let ((_let_56 (tptp.addition tptp.one _let_50))) (let ((_let_57 (= _let_53 _let_56))) (let ((_let_58 (= _let_53 _let_54))) (let ((_let_59 (= (tptp.addition tptp.one _let_51) (tptp.addition _let_56 _let_34)))) (let ((_let_60 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_61 (tptp.addition _let_23 _let_60))) (let ((_let_62 (= _let_60 _let_61))) (let ((_let_63 (not _let_20))) (let ((_let_64 (or _let_63 _let_62))) (let ((_let_65 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.strong_iteration X1))) (or (not (= X1 (tptp.addition X0 X1))) (= _let_1 (tptp.addition (tptp.strong_iteration X0) _let_1))))))) (let ((_let_66 (not _let_64))) (let ((_let_67 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.leq (lambda ((BOUND_VARIABLE_781 $$unsorted) (BOUND_VARIABLE_782 $$unsorted)) (= BOUND_VARIABLE_782 (tptp.addition BOUND_VARIABLE_781 BOUND_VARIABLE_782)))))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_67 :args ((not (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.leq X0 X1)) (tptp.leq (tptp.strong_iteration X0) (tptp.strong_iteration X1))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_69 (or))) (let ((_let_70 (not _let_65))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_68) :args (_let_70))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_65))) (REFL :args (_let_66)) :args _let_69)) _let_68 :args (_let_66 true _let_65)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 0)) (CONG (REFL :args (_let_64)) (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_20))) :args _let_69)) :args ((or _let_20 _let_64))) _let_71 :args (_let_20 true _let_64)))) (let ((_let_73 (_let_18))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((tptp.addition A B)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_22 false _let_18)))) (let ((_let_77 (_let_5))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 ((tptp.strong_iteration A)))) (let ((_let_80 (_let_3))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((tptp.strong_iteration A)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_30 false _let_3)))) (let ((_let_84 (_let_14))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (tptp.zero QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_89 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 (_let_10))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_98 (tptp.multiplication _let_60 tptp.one))) (let ((_let_99 (= _let_98 (tptp.addition _let_27 _let_98)))) (let ((_let_100 (not _let_58))) (let ((_let_101 (or _let_100 _let_99))) (let ((_let_102 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.strong_iteration A) B))) (let ((_let_2 (tptp.addition (tptp.multiplication A C) B))) (or (not (= _let_2 (tptp.addition C _let_2))) (= _let_1 (tptp.addition C _let_1)))))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_67 :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq C (tptp.addition (tptp.multiplication A C) B))) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_104 (tptp.multiplication _let_28 tptp.one))) (let ((_let_105 (= _let_60 (tptp.addition _let_104 _let_60)))) (let ((_let_106 (tptp.multiplication _let_28 tptp.zero))) (let ((_let_107 (tptp.addition _let_28 _let_106))) (let ((_let_108 (tptp.addition _let_60 _let_28))) (let ((_let_109 (= (tptp.addition _let_108 _let_106) (tptp.addition _let_60 _let_107)))) (let ((_let_110 (tptp.addition _let_106 _let_28))) (let ((_let_111 (= _let_107 _let_110))) (let ((_let_112 (= _let_28 _let_110))) (let ((_let_113 (tptp.addition _let_108 _let_27))) (let ((_let_114 (= _let_113 (tptp.addition _let_27 _let_108)))) (let ((_let_115 (= _let_108 (tptp.addition _let_28 _let_60)))) (let ((_let_116 (= _let_60 _let_98))) (let ((_let_117 (= _let_28 _let_104))) (let ((_let_118 (= (tptp.addition _let_60 _let_29) _let_113))) (let ((_let_119 (= _let_61 (tptp.addition _let_60 _let_23)))) (let ((_let_120 (not _let_99))) (let ((_let_121 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_60))) (let ((_let_122 (tptp.addition _let_121 tptp.one))) (let ((_let_123 (tptp.addition _let_122 _let_60))) (let ((_let_124 (= _let_60 _let_123))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_105))) (let ((_let_127 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= C (tptp.addition (tptp.addition (tptp.multiplication A C) B) C))) (= C (tptp.addition (tptp.multiplication (tptp.star A) B) C)))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_6)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_67 :args ((forall ((A $$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))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_129 (_let_127))) (let ((_let_130 (= (tptp.addition _let_60 _let_122) _let_123))) (let ((_let_131 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_60))) (let ((_let_132 (tptp.addition tptp.one _let_131))) (let ((_let_133 (tptp.addition _let_131 _let_122))) (let ((_let_134 (= (tptp.addition tptp.one _let_133) (tptp.addition _let_132 _let_122)))) (let ((_let_135 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_136 (tptp.multiplication _let_135 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_137 (tptp.addition _let_136 tptp.one))) (let ((_let_138 (= (tptp.addition _let_136 _let_132) (tptp.addition _let_137 _let_131)))) (let ((_let_139 (tptp.multiplication _let_135 tptp.one))) (let ((_let_140 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_139))) (let ((_let_141 (tptp.addition _let_140 _let_131))) (let ((_let_142 (= (tptp.addition tptp.one _let_141) (tptp.addition (tptp.addition tptp.one _let_140) _let_131)))) (let ((_let_143 (tptp.addition _let_139 _let_60))) (let ((_let_144 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_143) _let_141))) (let ((_let_145 (tptp.addition tptp.one _let_136))) (let ((_let_146 (= (tptp.addition tptp.one (tptp.addition _let_136 _let_60)) (tptp.addition _let_145 _let_60)))) (let ((_let_147 (tptp.addition _let_131 _let_121))) (let ((_let_148 (= _let_133 (tptp.addition _let_147 tptp.one)))) (let ((_let_149 (= _let_145 _let_137))) (let ((_let_150 (= _let_135 _let_139))) (let ((_let_151 (= _let_60 _let_143))) (let ((_let_152 (= _let_135 _let_145))) (let ((_let_153 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_135))) (let ((_let_154 (= _let_135 (tptp.addition tptp.one _let_153)))) (let ((_let_155 (= (tptp.multiplication _let_21 _let_60) _let_147))) (let ((_let_156 (tptp.multiplication _let_60 tptp.zero))) (let ((_let_157 (tptp.addition _let_135 _let_156))) (let ((_let_158 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_157) (tptp.addition _let_153 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_156))))) (let ((_let_159 (tptp.addition _let_131 tptp.one))) (let ((_let_160 (= _let_159 _let_132))) (let ((_let_161 (= _let_60 _let_157))) (let ((_let_162 (= _let_60 _let_159))) (let ((_let_163 (_let_17))) (let ((_let_164 (ASSUME :args _let_163))) (let ((_let_165 (_let_11))) (let ((_let_166 (ASSUME :args _let_165))) (let ((_let_167 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_168 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_169 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_170 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_171 (_let_169))) (let ((_let_172 (= _let_60 (tptp.addition _let_159 _let_60)))) (let ((_let_173 (not _let_172))) (let ((_let_174 (or _let_173 _let_151))) (let ((_let_175 ((tptp.addition (tptp.multiplication A C) B)))) (let ((_let_176 (= _let_159 (tptp.addition _let_159 _let_159)))) (let ((_let_177 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_178 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_179 (_let_177))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_162 false _let_5)))) (let ((_let_181 (not _let_162))) (let ((_let_182 (and _let_162 _let_176))) (let ((_let_183 (_let_162 _let_176))) (let ((_let_184 (APPLY_UF tptp.addition))) (let ((_let_185 (ASSUME :args (_let_162)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (ASSUME :args (_let_176)))) (let ((_let_188 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_189 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_190 (forall ((A 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_let_181 (not _let_161) (not _let_160) (not _let_158) (not _let_155) (not _let_154) (not _let_152) (not _let_151) (not _let_150) (not _let_149) (not _let_148) (not _let_146) (not _let_144) (not _let_142) (not _let_138) (not _let_134) _let_124 (not _let_130)))) _let_72 _let_76 _let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_161 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_131 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_160 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_135 _let_156 QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_165)) _let_166 :args (_let_158 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_60 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_155 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_193)) :args _let_192)) _let_191 :args (_let_154 false _let_190)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args (_let_188))) _let_189 :args (_let_152 false _let_188)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_174)) :args ((or _let_173 _let_151 (not _let_174)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_182)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_185 _let_187) (SCOPE (TRANS _let_185 (SYMM (SYMM _let_187)) (CONG (REFL :args (_let_159)) _let_186 :args _let_184)) :args _let_183)) :args _let_183)) :args (true _let_182)) :args ((or _let_181 _let_172 (not _let_176)))) _let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_178 :args (_let_159 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_179)) _let_178 :args (_let_176 false _let_177)) :args (_let_172 false _let_162 false _let_176)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one _let_60 QUANTIFIERS_INST_E_MATCHING _let_175)) :args _let_129)) _let_128 :args (_let_174 false _let_127)) :args (_let_151 false _let_172 false _let_174)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_135 QUANTIFIERS_INST_CBQI_PROP)) :args _let_171)) _let_170 :args (_let_150 false _let_169)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.one _let_136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_149 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.one _let_121 _let_131 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_163)) _let_164 :args (_let_148 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_60 _let_136 tptp.one QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_163)) _let_164 :args (_let_146 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_139 _let_60 QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_165)) _let_166 :args (_let_144 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_131 _let_140 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_163)) _let_164 :args (_let_142 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_131 tptp.one _let_136 QUANTIFIERS_INST_CBQI_PROP)) :args _let_163)) _let_164 :args (_let_138 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_122 _let_131 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_163)) _let_164 :args (_let_134 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_60 _let_122 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_130 false _let_18)) :args (_let_124 false _let_20 false _let_22 false _let_162 false _let_161 false _let_160 false _let_158 false _let_155 false _let_154 false _let_152 false _let_151 false _let_150 false _let_149 false _let_148 false _let_146 false _let_144 false _let_142 false _let_138 false _let_134 false _let_130)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one _let_60 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication (tptp.star A) B) C)))) :args _let_129)) _let_128 :args (_let_126 false _let_127)) :args (_let_105 false _let_124 false _let_126)) :args (_let_120 true _let_62 false _let_119 false _let_30 false _let_118 false _let_117 false _let_116 false _let_115 false _let_114 false _let_112 false _let_111 false _let_109 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one _let_27 QUANTIFIERS_INST_E_MATCHING ((tptp.addition C (tptp.multiplication (tptp.strong_iteration A) B))))) :args (_let_102))) _let_103 :args (_let_101 false _let_102)) :args (_let_100 true _let_99 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_50 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_57 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_27 _let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_55 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_52 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.one _let_24 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)) _let_96 :args (_let_49 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_24 tptp.zero _let_44 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_48 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.zero _let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_73)) _let_74 :args (_let_47 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_44 QUANTIFIERS_INST_CBQI_PROP)) :args _let_94)) _let_93 :args (_let_46 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args _let_88) :args _let_94)) _let_93 :args (_let_43 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_41 QUANTIFIERS_INST_CBQI_PROP)) :args _let_91)) _let_90 :args (_let_42 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args _let_88) :args (_let_86))) _let_87 :args (_let_40 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_23 tptp.zero tptp.zero QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.multiplication A B) C)))) :args _let_84))) _let_85 :args (_let_38 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 tptp.zero QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.multiplication B C))))) :args _let_84)) _let_85 :args (_let_35 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_24 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_32 false _let_18)) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_26 false _let_5)) _let_76 _let_72 :args (false false _let_59 true _let_58 false _let_57 false _let_55 false _let_52 false _let_49 false _let_48 false _let_47 false _let_46 false _let_43 false _let_42 false _let_40 false _let_38 false _let_35 false _let_32 false _let_30 false _let_26 false _let_22 false _let_20)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (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_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 98.37/99.00 )
% 98.37/99.00 % SZS output end Proof for KLE140+1
% 98.37/99.00 % cvc5---1.0.5 exiting
% 98.37/99.00 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------