%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE022+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 05:26:55 EDT 2023

% Result   : Theorem 0.80s 1.03s
% Output   : Proof 0.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : KLE022+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.11/0.34  % Computer : n028.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Tue Aug 29 12:14:10 EDT 2023
% 0.11/0.34  % CPUTime    : 
% 0.17/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.80/1.03  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KL98Al0Pxo/cvc5---1.0.5_32124.p...
% 0.80/1.03  ------- get file name : TPTP file name is KLE022+4
% 0.80/1.03  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32124.smt2...
% 0.80/1.03  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.80/1.03  % SZS status Theorem for KLE022+4
% 0.80/1.03  % SZS output start Proof for KLE022+4
% 0.80/1.03  (
% 0.80/1.03  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition (tptp.multiplication X0 X1) (tptp.multiplication X0 (tptp.c X1))))) (=> (tptp.test X1) (and (tptp.leq X0 _let_1) (tptp.leq _let_1 X0)))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_10 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10)))) (let ((_let_12 (tptp.leq _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_14 (and _let_13 _let_12))) (let ((_let_15 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14))) (let ((_let_18 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition (tptp.multiplication X0 X1) (tptp.multiplication X0 (tptp.c X1))))) (or (not (tptp.test X1)) (and (tptp.leq X0 _let_1) (tptp.leq _let_1 X0))))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (or))) (let ((_let_22 (not _let_18))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_20) :args (_let_22))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) (REFL :args (_let_19)) :args _let_21)) _let_20 :args (_let_19 true _let_18)))) (let ((_let_24 (tptp.leq _let_11 _let_11))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_26 (= _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_28 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_29 (= tptp.one _let_28))) (let ((_let_30 (= _let_11 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10))))) (let ((_let_31 (= _let_11 (tptp.addition _let_11 _let_11)))) (let ((_let_32 (= _let_31 _let_24))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 ((tptp.addition A A)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_32)) :args ((or _let_24 (not _let_31) (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_31 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_11 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args (_let_33)))) _let_34 :args (_let_32 false _let_33)) :args (_let_24 false _let_31 false _let_32)))) (let ((_let_40 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication A tptp.one)))) :args (_let_40))) _let_41 :args (_let_25 false _let_40)))) (let ((_let_43 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_44 (= _let_43 _let_26))) (let ((_let_45 (or _let_16 _let_44))) (let ((_let_46 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 0)) (CONG (REFL :args (_let_17)) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_21)) :args ((or _let_15 _let_17))) _let_23 :args (_let_15 true _let_17)))) (let ((_let_49 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_50 (= tptp.one _let_49))) (let ((_let_51 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_52 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_53 (and _let_52 _let_51 _let_50))) (let ((_let_54 (= _let_43 _let_53))) (let ((_let_55 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 (= _let_28 _let_49))) (let ((_let_59 (_let_9))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (and _let_51 _let_52 _let_29))) (let ((_let_62 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_63 (= _let_62 _let_61))) (let ((_let_64 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_65 (not _let_64))) (let ((_let_66 (= _let_15 _let_65))) (let ((_let_67 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (not _let_62))) (let ((_let_70 (_let_65))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or _let_69 _let_61 (not _let_63)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_70)) :args _let_70) (REWRITE :args ((=> _let_65 (not _let_69)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) (REFL :args (_let_62)) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_66)) :args ((or _let_16 _let_65 (not _let_66)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.test X0)))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_65 false _let_15 false _let_66)) :args (_let_62 true _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X1 X0)))) :args _let_57)) _let_56 :args (_let_63 false _let_55)) :args (_let_61 false _let_62 false _let_63)))) (let ((_let_72 (not _let_61))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 2)) :args ((or _let_29 _let_72))) _let_71 :args (_let_29 false _let_61)))) (let ((_let_74 (not _let_29))) (let ((_let_75 (and _let_29 _let_58))) (let ((_let_76 (ASSUME :args (_let_58)))) (let ((_let_77 (ASSUME :args (_let_29)))) (let ((_let_78 (SYMM (SYMM _let_77)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_44)) :args ((or (not _let_43) _let_26 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_54)) :args ((or _let_43 (not _let_53) (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_53)) :args ((or (not _let_51) (not _let_52) _let_53 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 0)) :args ((or _let_51 _let_72))) _let_71 :args (_let_51 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 1)) :args ((or _let_52 _let_72))) _let_71 :args (_let_52 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_75)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_76 _let_77) (SCOPE (TRANS _let_78 (SYMM (SYMM _let_76))) :args (_let_58 _let_29))) :args (_let_29 _let_58))) :args (true _let_75)) :args ((or _let_74 _let_50 (not _let_58)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_59)) _let_60 :args (_let_58 false _let_9)) :args (_let_50 false _let_29 false _let_58)) :args (_let_53 false _let_51 false _let_52 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication X0 X1)))) :args _let_57)) _let_56 :args (_let_54 false _let_55)) :args (_let_43 false _let_53 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_16 _let_44 (not _let_45)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X0 X1)))) :args (_let_46)))) _let_47 :args (_let_45 false _let_46)) :args (_let_44 false _let_15 false _let_45)) :args (_let_26 false _let_43 false _let_44)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_27 false _let_35)))) (let ((_let_81 (_let_6))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :args _let_81))) _let_82 :args (_let_30 false _let_6)))) (let ((_let_84 (not _let_24))) (let ((_let_85 (not _let_25))) (let ((_let_86 (not _let_26))) (let ((_let_87 (not _let_27))) (let ((_let_88 (not _let_30))) (let ((_let_89 (and _let_30 _let_29 _let_27 _let_26 _let_25 _let_24))) (let ((_let_90 (true _let_89))) (let ((_let_91 (_let_30 _let_29 _let_27 _let_26 _let_25 _let_24))) (let ((_let_92 (_let_24 _let_30 _let_27 _let_26 _let_29 _let_25))) (let ((_let_93 (ASSUME :args (_let_24)))) (let ((_let_94 (TRUE_INTRO _let_93))) (let ((_let_95 (APPLY_UF tptp.leq))) (let ((_let_96 (ASSUME :args (_let_30)))) (let ((_let_97 (APPLY_UF tptp.addition))) (let ((_let_98 (ASSUME :args (_let_26)))) (let ((_let_99 (ASSUME :args (_let_27)))) (let ((_let_100 (ASSUME :args (_let_25)))) (let ((_let_101 (TRANS (SYMM (SYMM _let_100)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (TRANS _let_78 (CONG _let_99 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args _let_97) (CONG (SYMM _let_99) (SYMM _let_98) :args _let_97)) :args (APPLY_UF tptp.multiplication)) (SYMM _let_96)))) (let ((_let_102 (REFL :args (_let_11)))) (let ((_let_103 (AND_INTRO _let_93 _let_96 _let_99 _let_98 _let_77 _let_100))) (let ((_let_104 (CNF_AND_NEG :args (_let_89)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_104 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_103 (SCOPE (TRUE_ELIM (TRANS (CONG _let_101 _let_102 :args _let_95) _let_94)) :args _let_92)) :args _let_91)) :args _let_90) :args ((or _let_13 _let_88 _let_74 _let_87 _let_86 _let_85 _let_84))) _let_83 _let_73 _let_80 _let_79 _let_42 _let_39 :args (_let_13 false _let_30 false _let_29 false _let_27 false _let_26 false _let_25 false _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_104 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_103 (SCOPE (TRUE_ELIM (TRANS (CONG _let_102 _let_101 :args _let_95) _let_94)) :args _let_92)) :args _let_91)) :args _let_90) :args ((or _let_12 _let_88 _let_74 _let_87 _let_86 _let_85 _let_84))) _let_83 _let_73 _let_80 _let_79 _let_42 _let_39 :args (_let_12 false _let_30 false _let_29 false _let_27 false _let_26 false _let_25 false _let_24)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 1)) _let_23 :args ((not _let_14) true _let_17)) :args (false false _let_13 false _let_12 true _let_14)) :args (_let_9 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_5 _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.80/1.04  )
% 0.80/1.04  % SZS output end Proof for KLE022+4
% 0.80/1.04  % cvc5---1.0.5 exiting
% 0.80/1.04  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------