TSTP Solution File: KLE148+2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE148+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 05:27:27 EDT 2023

% Result   : Theorem 66.08s 66.56s
% Output   : Proof 66.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KLE148+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 11:34:28 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.49  %----Proving TF0_NAR, FOF, or CNF
% 66.08/66.56  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4epYmS7qXc/cvc5---1.0.5_11270.p...
% 66.08/66.56  ------- get file name : TPTP file name is KLE148+2
% 66.08/66.56  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11270.smt2...
% 66.08/66.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 66.08/66.56  --- Run --no-e-matching --full-saturate-quant at 5...
% 66.08/66.56  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 66.08/66.56  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 66.08/66.56  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 66.08/66.56  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 66.08/66.56  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 66.08/66.56  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 66.08/66.56  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 66.08/66.56  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 66.08/66.56  --- Run --relevant-triggers --full-saturate-quant at 5...
% 66.08/66.56  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.08/66.56  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 66.08/66.56  % SZS status Theorem for KLE148+2
% 66.08/66.56  % SZS output start Proof for KLE148+2
% 66.08/66.56  (
% 66.08/66.56  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.multiplication X0 (tptp.strong_iteration 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 $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (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 A tptp.one) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_12 (forall ((C $$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.strong_iteration skv_3))) (let ((_let_15 (tptp.multiplication skv_3 _let_14))) (let ((_let_16 (tptp.addition _let_15 tptp.one))) (let ((_let_17 (= _let_14 _let_16))) (let ((_let_18 (tptp.addition tptp.one _let_15))) (let ((_let_19 (= _let_16 _let_18))) (let ((_let_20 (tptp.multiplication skv_2 tptp.one))) (let ((_let_21 (= skv_2 _let_20))) (let ((_let_22 (tptp.multiplication skv_2 _let_14))) (let ((_let_23 (= _let_22 (tptp.addition _let_22 _let_22)))) (let ((_let_24 (tptp.multiplication skv_2 skv_3))) (let ((_let_25 (tptp.multiplication skv_2 _let_15))) (let ((_let_26 (= _let_25 (tptp.multiplication _let_24 _let_14)))) (let ((_let_27 (= (tptp.multiplication skv_2 _let_18) (tptp.addition _let_20 _let_25)))) (let ((_let_28 (= tptp.zero (tptp.multiplication tptp.zero _let_14)))) (let ((_let_29 (= _let_20 (tptp.addition _let_20 tptp.zero)))) (let ((_let_30 (= tptp.zero _let_24))) (let ((_let_31 (= skv_2 (tptp.addition _let_22 skv_2)))) (let ((_let_32 (_let_4))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (_let_13))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 (_let_9))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (_let_7))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (tptp.leq _let_22 skv_2))) (let ((_let_51 (not _let_30))) (let ((_let_52 (or _let_51 _let_50))) (let ((_let_53 (tptp.strong_iteration skv_5))) (let ((_let_54 (tptp.multiplication skv_4 _let_53))) (let ((_let_55 (tptp.leq skv_4 _let_54))) (let ((_let_56 (= _let_54 (tptp.addition skv_4 _let_54)))) (let ((_let_57 (= _let_55 _let_56))) (let ((_let_58 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_58))) (let ((_let_61 ((tptp.leq A B)))) (let ((_let_62 (tptp.multiplication _let_53 tptp.zero))) (let ((_let_63 (tptp.multiplication skv_4 _let_62))) (let ((_let_64 (tptp.star skv_5))) (let ((_let_65 (tptp.multiplication skv_4 _let_64))) (let ((_let_66 (tptp.addition _let_65 _let_63))) (let ((_let_67 (= (tptp.addition skv_4 _let_66) (tptp.addition (tptp.addition skv_4 _let_65) _let_63)))) (let ((_let_68 (tptp.multiplication _let_64 skv_5))) (let ((_let_69 (tptp.multiplication skv_4 _let_68))) (let ((_let_70 (tptp.multiplication skv_4 tptp.one))) (let ((_let_71 (tptp.addition _let_70 _let_69))) (let ((_let_72 (= (tptp.addition skv_4 _let_71) (tptp.addition (tptp.addition skv_4 _let_70) _let_69)))) (let ((_let_73 (tptp.addition tptp.one _let_68))) (let ((_let_74 (= (tptp.multiplication skv_4 _let_73) _let_71))) (let ((_let_75 (= skv_4 _let_70))) (let ((_let_76 (= skv_4 (tptp.addition skv_4 skv_4)))) (let ((_let_77 (= _let_64 _let_73))) (let ((_let_78 (tptp.addition _let_64 _let_62))) (let ((_let_79 (= (tptp.multiplication skv_4 _let_78) _let_66))) (let ((_let_80 (= _let_53 _let_78))) (let ((_let_81 (_let_12))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_84 (skv_4 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_85 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_3))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (and _let_80 _let_79 _let_77 _let_76 _let_75 _let_74 _let_72 _let_67))) (let ((_let_90 (APPLY_UF tptp.addition))) (let ((_let_91 (ASSUME :args (_let_76)))) (let ((_let_92 (APPLY_UF tptp.multiplication))) (let ((_let_93 (ASSUME :args (_let_80)))) (let ((_let_94 (REFL :args (skv_4)))) (let ((_let_95 (CONG _let_94 (SYMM _let_93) :args _let_92))) (let ((_let_96 (ASSUME :args (_let_79)))) (let ((_let_97 (ASSUME :args (_let_67)))) (let ((_let_98 (ASSUME :args (_let_77)))) (let ((_let_99 (CONG _let_94 (SYMM _let_98) :args _let_92))) (let ((_let_100 (ASSUME :args (_let_74)))) (let ((_let_101 (ASSUME :args (_let_72)))) (let ((_let_102 (ASSUME :args (_let_75)))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (and (forall ((BOUND_VARIABLE_788 $$unsorted) (BOUND_VARIABLE_790 $$unsorted)) (or (not (= tptp.zero (tptp.multiplication BOUND_VARIABLE_788 BOUND_VARIABLE_790))) (tptp.leq (tptp.multiplication BOUND_VARIABLE_788 (tptp.strong_iteration BOUND_VARIABLE_790)) BOUND_VARIABLE_788))) (forall ((BOUND_VARIABLE_801 $$unsorted) (BOUND_VARIABLE_803 $$unsorted)) (tptp.leq BOUND_VARIABLE_801 (tptp.multiplication BOUND_VARIABLE_801 (tptp.strong_iteration BOUND_VARIABLE_803)))))) (not (and _let_52 _let_55)))))))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_57)) :args ((or _let_55 (not _let_56) (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_93 _let_96 _let_97 _let_98 _let_100 _let_101 _let_102) (SCOPE (TRANS (SYMM _let_95) _let_96 (CONG (TRANS (SYMM _let_99) _let_100 (CONG (TRANS _let_103 (TRANS _let_91 (CONG _let_94 (SYMM _let_103) :args _let_90))) (REFL :args (_let_69)) :args _let_90) (SYMM _let_101) (CONG _let_94 (TRANS (SYMM _let_100) _let_99) :args _let_90)) (REFL :args (_let_63)) :args _let_90) (SYMM _let_97) (CONG _let_91 (TRANS (SYMM _let_96) _let_95) :args _let_90) (CONG (SYMM _let_91) (REFL :args (_let_54)) :args _let_90)) :args (_let_76 _let_80 _let_79 _let_67 _let_77 _let_74 _let_72 _let_75))) :args (_let_80 _let_79 _let_77 _let_76 _let_75 _let_74 _let_72 _let_67))) :args (true _let_89)) :args ((or _let_56 (not _let_80) (not _let_79) (not _let_77) (not _let_76) (not _let_75) (not _let_74) (not _let_72) (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_87)) _let_88 :args (_let_80 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (skv_4 _let_64 _let_62 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_44)) _let_45 :args (_let_79 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args (_let_85))) _let_86 :args (_let_77 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_84) :args _let_41)) _let_40 :args (_let_76 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_84) :args _let_38)) _let_37 :args (_let_75 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (skv_4 tptp.one _let_68 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_44)) _let_45 :args (_let_74 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_69 _let_70 skv_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_81)) _let_82 :args (_let_72 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_63 _let_65 skv_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_81)) _let_82 :args (_let_67 false _let_12)) :args (_let_56 false _let_80 false _let_79 false _let_77 false _let_76 false _let_75 false _let_74 false _let_72 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (skv_4 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_57 false _let_58)) :args (_let_55 false _let_56 false _let_57)) :args ((not _let_52) false _let_55)))) (let ((_let_105 (= _let_50 _let_31))) (let ((_let_106 (not _let_31))) (let ((_let_107 (and _let_30 _let_17 _let_19 _let_21 _let_23 _let_26 _let_27 _let_28 _let_29))) (let ((_let_108 (REFL :args (skv_2)))) (let ((_let_109 (ASSUME :args (_let_23)))) (let ((_let_110 (ASSUME :args (_let_21)))) (let ((_let_111 (ASSUME :args (_let_29)))) (let ((_let_112 (ASSUME :args (_let_28)))) (let ((_let_113 (ASSUME :args (_let_17)))) (let ((_let_114 (ASSUME :args (_let_19)))) (let ((_let_115 (TRANS (SYMM _let_114) (SYMM _let_113)))) (let ((_let_116 (ASSUME :args (_let_30)))) (let ((_let_117 (SYMM _let_115))) (let ((_let_118 (ASSUME :args (_let_26)))) (let ((_let_119 (CONG (REFL :args (_let_20)) (TRANS (SYMM (SYMM _let_118)) (CONG (REFL :args (_let_24)) _let_117 :args _let_92) (CONG (SYMM _let_116) _let_115 :args _let_92) (SYMM _let_112)) :args _let_90))) (let ((_let_120 (ASSUME :args (_let_27)))) (let ((_let_121 (SYMM _let_120))) (let ((_let_122 (CONG _let_108 _let_117 :args _let_92))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_107)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_110 _let_111 _let_112 _let_116 _let_113 _let_114 _let_118 _let_120) (SCOPE (TRANS _let_110 _let_111 (SYMM _let_119) _let_121 (SYMM _let_122) _let_109 (CONG _let_109 (TRANS _let_122 (SYMM _let_121) _let_119 (SYMM _let_111) (SYMM _let_110)) :args _let_90) (CONG (SYMM _let_109) _let_108 :args _let_90)) :args (_let_23 _let_21 _let_29 _let_28 _let_30 _let_17 _let_19 _let_26 _let_27))) :args (_let_30 _let_17 _let_19 _let_21 _let_23 _let_26 _let_27 _let_28 _let_29))) :args (true _let_107)) :args ((or _let_51 _let_31 (not _let_17) (not _let_19) (not _let_21) (not _let_23) (not _let_26) (not _let_27) (not _let_28) (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_105)) :args ((or _let_50 _let_106 (not _let_105)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 1)) _let_104 :args ((not _let_50) true _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_22 skv_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_105 false _let_58)) :args (_let_106 true _let_50 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_30))) :args (or))) :args ((or _let_30 _let_52))) _let_104 :args (_let_30 true _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_48))) _let_49 :args (_let_29 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_14 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_46))) _let_47 :args (_let_28 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (skv_2 tptp.one _let_15 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_44)) _let_45 :args (_let_27 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (skv_2 skv_3 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_42)) _let_43 :args (_let_26 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_41)) _let_40 :args (_let_23 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (skv_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_38)) _let_37 :args (_let_21 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_15 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_34)) _let_35 :args (_let_19 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (skv_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_32)) _let_33 :args (_let_17 false _let_4)) :args (false true _let_31 false _let_30 false _let_29 false _let_28 false _let_27 false _let_26 false _let_23 false _let_21 false _let_19 false _let_17)) :args (_let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) _let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))) _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) (tptp.leq (tptp.multiplication (tptp.star A) B) C))) (forall ((A $$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_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 66.37/66.57  )
% 66.37/66.57  % SZS output end Proof for KLE148+2
% 66.37/66.57  % cvc5---1.0.5 exiting
% 66.37/66.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------