%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE167+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 05:27:31 EDT 2023

% Result   : Theorem 0.64s 0.81s
% Output   : Proof 0.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KLE167+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 29 12:48:31 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.64/0.81  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.pDbZIDg7cI/cvc5---1.0.5_24584.p...
% 0.64/0.81  ------- get file name : TPTP file name is KLE167+1
% 0.64/0.81  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24584.smt2...
% 0.64/0.81  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.64/0.81  % SZS status Theorem for KLE167+1
% 0.64/0.81  % SZS output start Proof for KLE167+1
% 0.64/0.81  (
% 0.64/0.81  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.multiplication X0 (tptp.star X1)))) (and (=> (= (tptp.multiplication X0 X1) tptp.zero) (tptp.leq _let_1 X0)) (tptp.leq X0 _let_1))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_9 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_11 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.addition _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (= _let_12 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11)))) (let ((_let_14 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.addition _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (= _let_15 (tptp.addition _let_11 _let_14)))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_19 (= tptp.zero _let_11))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_21 (_let_10))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 ((tptp.addition A B)))) (let ((_let_24 (_let_9))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 ((tptp.addition A A)))) (let ((_let_32 (tptp.leq (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_19))) (let ((_let_34 (or _let_33 _let_32))) (let ((_let_35 (forall ((BOUND_VARIABLE_788 $$unsorted) (BOUND_VARIABLE_790 $$unsorted)) (or (not (= tptp.zero (tptp.multiplication BOUND_VARIABLE_788 BOUND_VARIABLE_790))) (tptp.leq (tptp.multiplication BOUND_VARIABLE_788 (tptp.star BOUND_VARIABLE_790)) BOUND_VARIABLE_788))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (forall ((BOUND_VARIABLE_801 $$unsorted) (BOUND_VARIABLE_803 $$unsorted)) (tptp.leq BOUND_VARIABLE_801 (tptp.multiplication BOUND_VARIABLE_801 (tptp.star BOUND_VARIABLE_803)))))) (let ((_let_38 (not _let_35))) (let ((_let_39 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_40 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_39))) (let ((_let_41 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_40))) (let ((_let_42 (= _let_40 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_40)))) (let ((_let_43 (= _let_41 _let_42))) (let ((_let_44 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 ((tptp.leq A B)))) (let ((_let_48 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one))) (let ((_let_49 (= _let_48 (tptp.addition _let_48 _let_48)))) (let ((_let_50 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_48))) (let ((_let_51 (tptp.multiplication _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_52 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_51))) (let ((_let_53 (tptp.addition _let_50 _let_52))) (let ((_let_54 (= _let_53 (tptp.addition _let_52 _let_50)))) (let ((_let_55 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_48))) (let ((_let_56 (tptp.addition _let_48 _let_52))) (let ((_let_57 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_56) _let_53))) (let ((_let_58 (= _let_56 (tptp.addition _let_52 _let_48)))) (let ((_let_59 (tptp.addition tptp.one _let_51))) (let ((_let_60 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_59) _let_56))) (let ((_let_61 (= _let_39 _let_59))) (let ((_let_62 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_5))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (and _let_61 _let_60 _let_58 _let_57 _let_55 _let_54 _let_49))) (let ((_let_69 (APPLY_UF tptp.addition))) (let ((_let_70 (ASSUME :args (_let_61)))) (let ((_let_71 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_72 (CONG _let_71 (SYMM _let_70) :args (APPLY_UF tptp.multiplication)))) (let ((_let_73 (ASSUME :args (_let_60)))) (let ((_let_74 (ASSUME :args (_let_57)))) (let ((_let_75 (ASSUME :args (_let_54)))) (let ((_let_76 (ASSUME :args (_let_55)))) (let ((_let_77 (SYMM _let_76))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (CONG _let_77 _let_78 :args _let_69))) (let ((_let_80 (REFL :args (_let_52)))) (let ((_let_81 (ASSUME :args (_let_49)))) (let ((_let_82 (ASSUME :args (_let_58)))) (let ((_let_83 (or))) (let ((_let_84 (not _let_37))) (let ((_let_85 (_let_84))) (let ((_let_86 (_let_38))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_86)) :args _let_86)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_35))) (REFL :args (_let_36)) :args _let_83)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_85)) :args _let_85)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_37))) (REFL :args ((not _let_41))) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_43)) :args ((or _let_41 (not _let_42) (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_70 _let_73 _let_74 _let_75 _let_76 _let_81 _let_82) (SCOPE (TRANS (SYMM _let_72) _let_73 (SYMM (SYMM _let_82)) (CONG _let_80 _let_77 :args _let_69) (CONG _let_80 (TRANS _let_78 (SYMM (SYMM _let_81)) (CONG _let_77 (REFL :args (_let_48)) :args _let_69) (SYMM _let_79)) :args _let_69) (CONG _let_80 _let_79 :args _let_69) (SYMM _let_75) (SYMM _let_74) (CONG _let_71 (TRANS (SYMM _let_73) _let_72) :args _let_69)) :args (_let_61 _let_60 _let_57 _let_54 _let_55 _let_49 _let_58))) :args (_let_61 _let_60 _let_58 _let_57 _let_55 _let_54 _let_49))) :args (true _let_68)) :args ((or _let_42 (not _let_61) (not _let_60) (not _let_58) (not _let_57) (not _let_55) (not _let_54) (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args (_let_66))) _let_67 :args (_let_61 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one _let_51 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.addition B C))))) :args _let_64)) _let_65 :args (_let_60 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_48 _let_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_58 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_52 _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_24)) _let_25 :args (_let_57 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication A tptp.one)))) :args (_let_62))) _let_63 :args (_let_55 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_50 _let_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_54 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_49 false _let_28)) :args (_let_42 false _let_61 false _let_60 false _let_58 false _let_57 false _let_55 false _let_54 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_43 false _let_44)) :args (_let_41 false _let_42 false _let_43)) :args (_let_37 false _let_41)) :args (_let_38 false _let_37)) :args (_let_36 true _let_35)))) (let ((_let_88 (tptp.leq _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_89 (= _let_88 _let_20))) (let ((_let_90 (not _let_20))) (let ((_let_91 (not _let_88))) (let ((_let_92 (or _let_91 _let_32))) (let ((_let_93 (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_94 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (and _let_19 _let_13 _let_16 _let_17 _let_18))) (let ((_let_96 (ASSUME :args (_let_16)))) (let ((_let_97 (ASSUME :args (_let_18)))) (let ((_let_98 (ASSUME :args (_let_13)))) (let ((_let_99 (ASSUME :args (_let_19)))) (let ((_let_100 (ASSUME :args (_let_17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_95)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_96 _let_97 _let_98 _let_99 _let_100) (SCOPE (TRANS (SYMM (SYMM _let_100)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM (SYMM _let_99)) :args _let_69) (SYMM _let_98) (CONG (REFL :args (_let_11)) (SYMM (SYMM _let_97)) :args _let_69) (SYMM _let_96)) :args (_let_16 _let_18 _let_13 _let_19 _let_17))) :args (_let_19 _let_13 _let_16 _let_17 _let_18))) :args (true _let_95)) :args ((or _let_33 _let_20 (not _let_13) (not _let_16) (not _let_17) (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_89)) :args ((or _let_88 _let_90 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_32 _let_91 (not _let_92)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 1)) _let_87 :args ((not _let_32) true _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication B (tptp.star A)) C) true))))) :args (_let_93))) _let_94 :args (_let_92 false _let_93)) :args (_let_91 true _let_32 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46)) _let_45 :args (_let_89 false _let_44)) :args (_let_90 true _let_88 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_19))) :args _let_83)) :args ((or _let_19 _let_34))) _let_87 :args (_let_19 true _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_18 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A tptp.zero)))) :args (_let_26))) _let_27 :args (_let_17 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.addition A B) C)))) :args _let_24))) _let_25 :args (_let_16 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_13 false _let_10)) :args (false true _let_20 false _let_19 false _let_18 false _let_17 false _let_16 false _let_13)) :args (_let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))) _let_4 (forall ((A $$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_3 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.64/0.81  )
% 0.64/0.81  % SZS output end Proof for KLE167+1
% 0.64/0.82  % cvc5---1.0.5 exiting
% 0.64/0.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------