TSTP Solution File: KLE021+2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE021+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 05:26:54 EDT 2023
% Result : Theorem 0.23s 0.63s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : KLE021+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 11:51:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.63 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7cUfK5XvN3/cvc5---1.0.5_25708.p...
% 0.23/0.63 ------- get file name : TPTP file name is KLE021+2
% 0.23/0.63 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25708.smt2...
% 0.23/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.63 % SZS status Theorem for KLE021+2
% 0.23/0.63 % SZS output start Proof for KLE021+2
% 0.23/0.63 (
% 0.23/0.63 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition (tptp.multiplication X1 X0) (tptp.multiplication (tptp.c X1) X0)))) (=> (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 $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_10 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiplication _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_12 (tptp.leq _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_14 (and _let_13 _let_12))) (let ((_let_15 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14))) (let ((_let_18 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition (tptp.multiplication X1 X0) (tptp.multiplication (tptp.c X1) X0)))) (or (not (tptp.test X1)) (and (tptp.leq X0 _let_1) (tptp.leq _let_1 X0))))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (or))) (let ((_let_22 (not _let_18))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_20) :args (_let_22))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) (REFL :args (_let_19)) :args _let_21)) _let_20 :args (_let_19 true _let_18)))) (let ((_let_24 (= _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_25 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_28 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_29 (= tptp.one _let_28))) (let ((_let_30 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10))) (let ((_let_31 (= _let_30 (tptp.addition _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_32 (= _let_11 (tptp.multiplication _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_33 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_34 (= _let_33 _let_24))) (let ((_let_35 (or _let_16 _let_34))) (let ((_let_36 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 0)) (CONG (REFL :args (_let_17)) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_21)) :args ((or _let_15 _let_17))) _let_23 :args (_let_15 true _let_17)))) (let ((_let_39 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (= tptp.one _let_39))) (let ((_let_41 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_42 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_43 (and _let_42 _let_41 _let_40))) (let ((_let_44 (= _let_33 _let_43))) (let ((_let_45 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 (= _let_28 _let_39))) (let ((_let_49 (_let_9))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((tptp.addition A B)))) (let ((_let_52 (and _let_41 _let_42 _let_29))) (let ((_let_53 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_54 (= _let_53 _let_52))) (let ((_let_55 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_56 (not _let_55))) (let ((_let_57 (= _let_15 _let_56))) (let ((_let_58 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (not _let_53))) (let ((_let_61 (_let_56))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or _let_60 _let_52 (not _let_54)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61) (REWRITE :args ((=> _let_56 (not _let_60)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) (REFL :args (_let_53)) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_57)) :args ((or _let_16 _let_56 (not _let_57)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.test X0)))) :args (_let_58))) _let_59 :args (_let_57 false _let_58)) :args (_let_56 false _let_15 false _let_57)) :args (_let_53 true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X1 X0)))) :args _let_47)) _let_46 :args (_let_54 false _let_45)) :args (_let_52 false _let_53 false _let_54)))) (let ((_let_63 (not _let_52))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 2)) :args ((or _let_29 _let_63))) _let_62 :args (_let_29 false _let_52)))) (let ((_let_65 (not _let_29))) (let ((_let_66 (and _let_29 _let_48))) (let ((_let_67 (ASSUME :args (_let_48)))) (let ((_let_68 (ASSUME :args (_let_29)))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_34)) :args ((or (not _let_33) _let_24 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_44)) :args ((or _let_33 (not _let_43) (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_43)) :args ((or (not _let_41) (not _let_42) _let_43 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 0)) :args ((or _let_41 _let_63))) _let_62 :args (_let_41 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_42 _let_63))) _let_62 :args (_let_42 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_68) (SCOPE (TRANS (SYMM _let_69) (SYMM (SYMM _let_67))) :args (_let_48 _let_29))) :args (_let_29 _let_48))) :args (true _let_66)) :args ((or _let_65 _let_40 (not _let_48)))) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_48 false _let_9)) :args (_let_40 false _let_29 false _let_48)) :args (_let_43 false _let_41 false _let_42 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication X0 X1)))) :args _let_47)) _let_46 :args (_let_44 false _let_45)) :args (_let_33 false _let_43 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_16 _let_34 (not _let_35)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X0 X1)))) :args (_let_36)))) _let_37 :args (_let_35 false _let_36)) :args (_let_34 false _let_15 false _let_35)) :args (_let_24 false _let_33 false _let_34)))) (let ((_let_71 (= _let_26 _let_25))) (let ((_let_72 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_74))) _let_75 :args (_let_26 false _let_74)))) (let ((_let_77 (not _let_26))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_71)) :args ((or _let_25 _let_77 (not _let_71)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args (_let_72)))) _let_73 :args (_let_71 false _let_72)) :args (_let_25 false _let_26 false _let_71)))) (let ((_let_79 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication tptp.one A)))) :args (_let_79))) _let_80 :args (_let_27 false _let_79)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_31 false _let_9)))) (let ((_let_83 (_let_6))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_84 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) :args _let_83))) _let_84 :args (_let_32 false _let_6)))) (let ((_let_86 (not _let_24))) (let ((_let_87 (not _let_25))) (let ((_let_88 (not _let_27))) (let ((_let_89 (not _let_31))) (let ((_let_90 (not _let_32))) (let ((_let_91 (and _let_32 _let_31 _let_29 _let_27 _let_26 _let_25 _let_24))) (let ((_let_92 (true _let_91))) (let ((_let_93 (_let_32 _let_31 _let_29 _let_27 _let_26 _let_25 _let_24))) (let ((_let_94 (_let_25 _let_27 _let_26 _let_29 _let_24 _let_31 _let_32))) (let ((_let_95 (ASSUME :args (_let_25)))) (let ((_let_96 (TRUE_INTRO _let_95))) (let ((_let_97 (APPLY_UF tptp.leq))) (let ((_let_98 (ASSUME :args (_let_27)))) (let ((_let_99 (APPLY_UF tptp.multiplication))) (let ((_let_100 (ASSUME :args (_let_26)))) (let ((_let_101 (ASSUME :args (_let_24)))) (let ((_let_102 (ASSUME :args (_let_31)))) (let ((_let_103 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_104 (ASSUME :args (_let_32)))) (let ((_let_105 (TRANS (SYMM (SYMM _let_104)) (CONG _let_102 _let_103 :args _let_99) (CONG (TRANS (SYMM _let_102) (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (SYMM (SYMM _let_101)) :args (APPLY_UF tptp.addition)) _let_69)) _let_100 :args _let_99) (CONG (REFL :args (tptp.one)) (SYMM _let_100) :args _let_99) (SYMM _let_98)))) (let ((_let_106 (AND_INTRO _let_95 _let_98 _let_100 _let_68 _let_101 _let_102 _let_104))) (let ((_let_107 (CNF_AND_NEG :args (_let_91)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_107 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_106 (SCOPE (TRUE_ELIM (TRANS (CONG _let_105 _let_103 :args _let_97) _let_96)) :args _let_94)) :args _let_93)) :args _let_92) :args ((or _let_12 _let_90 _let_89 _let_65 _let_88 _let_77 _let_87 _let_86))) _let_85 _let_82 _let_64 _let_81 _let_76 _let_78 _let_70 :args (_let_12 false _let_32 false _let_31 false _let_29 false _let_27 false _let_26 false _let_25 false _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_107 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_106 (SCOPE (TRUE_ELIM (TRANS (CONG _let_103 _let_105 :args _let_97) _let_96)) :args _let_94)) :args _let_93)) :args _let_92) :args ((or _let_13 _let_90 _let_89 _let_65 _let_88 _let_77 _let_87 _let_86))) _let_85 _let_82 _let_64 _let_81 _let_76 _let_78 _let_70 :args (_let_13 false _let_32 false _let_31 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_12 false _let_13 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 $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_6 (forall ((A $$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))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.63 )
% 0.23/0.63 % SZS output end Proof for KLE021+2
% 0.23/0.63 % cvc5---1.0.5 exiting
% 0.23/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------