TSTP Solution File: KLE139+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE139+1 : 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 05:27:22 EDT 2023
% Result : Theorem 0.56s 0.75s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE139+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n017.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 10:43:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.56/0.75 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Fcg5nSBQjA/cvc5---1.0.5_783.p...
% 0.56/0.75 ------- get file name : TPTP file name is KLE139+1
% 0.56/0.75 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_783.smt2...
% 0.56/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.56/0.75 % SZS status Theorem for KLE139+1
% 0.56/0.75 % SZS output start Proof for KLE139+1
% 0.56/0.75 (
% 0.56/0.75 (let ((_let_1 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.strong_iteration X0))) (= _let_1 (tptp.addition (tptp.multiplication _let_1 X0) tptp.one)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$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 $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (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 $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_10 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_12 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.addition _let_13 tptp.one))) (let ((_let_15 (= _let_12 _let_14))) (let ((_let_16 (= _let_14 (tptp.addition tptp.one _let_13)))) (let ((_let_17 (tptp.multiplication _let_12 tptp.zero))) (let ((_let_18 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.addition _let_18 _let_17))) (let ((_let_20 (= _let_12 _let_19))) (let ((_let_21 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.addition _let_22 _let_21))) (let ((_let_24 (= (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_23))) (let ((_let_25 (tptp.multiplication _let_17 tptp.zero))) (let ((_let_26 (tptp.multiplication _let_18 tptp.zero))) (let ((_let_27 (tptp.addition _let_26 _let_25))) (let ((_let_28 (= (tptp.multiplication _let_19 tptp.zero) _let_27))) (let ((_let_29 (tptp.addition tptp.one _let_22))) (let ((_let_30 (= _let_18 _let_29))) (let ((_let_31 (= (tptp.addition tptp.one _let_23) (tptp.addition _let_29 _let_21)))) (let ((_let_32 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (= _let_21 (tptp.multiplication _let_12 _let_32)))) (let ((_let_34 (tptp.multiplication _let_12 tptp.one))) (let ((_let_35 (= _let_12 _let_34))) (let ((_let_36 (= (tptp.multiplication _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiplication _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_37 (tptp.multiplication tptp.one tptp.zero))) (let ((_let_38 (= (tptp.multiplication _let_12 _let_37) (tptp.multiplication _let_34 tptp.zero)))) (let ((_let_39 (= tptp.zero _let_37))) (let ((_let_40 (= tptp.zero _let_32))) (let ((_let_41 (not _let_15))) (let ((_let_42 (_let_2))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (_let_11))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (_let_3))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (_let_6))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_51 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_10))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (_let_9))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_58 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (and _let_16 _let_20 _let_24 _let_28 _let_30 _let_31 _let_33 _let_35 _let_36 _let_38 _let_39 _let_40))) (let ((_let_65 (ASSUME :args (_let_16)))) (let ((_let_66 (APPLY_UF tptp.addition))) (let ((_let_67 (APPLY_UF tptp.multiplication))) (let ((_let_68 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_69 (ASSUME :args (_let_20)))) (let ((_let_70 (SYMM _let_69))) (let ((_let_71 (ASSUME :args (_let_24)))) (let ((_let_72 (ASSUME :args (_let_31)))) (let ((_let_73 (REFL :args (tptp.zero)))) (let ((_let_74 (ASSUME :args (_let_28)))) (let ((_let_75 (CONG (TRANS (SYMM _let_74) (CONG _let_70 _let_73 :args _let_67)) _let_68 :args _let_67))) (let ((_let_76 (ASSUME :args (_let_36)))) (let ((_let_77 (ASSUME :args (_let_33)))) (let ((_let_78 (ASSUME :args (_let_35)))) (let ((_let_79 (ASSUME :args (_let_40)))) (let ((_let_80 (ASSUME :args (_let_39)))) (let ((_let_81 (ASSUME :args (_let_38)))) (let ((_let_82 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_69 _let_71 _let_72 _let_82 _let_74 _let_76 _let_77 _let_78 _let_79 _let_80 _let_81) (SCOPE (TRANS _let_69 (CONG (SYMM (SYMM _let_82)) (TRANS (CONG _let_78 _let_73 :args _let_67) (SYMM _let_81) (CONG _let_78 (TRANS (SYMM _let_80) (SYMM (SYMM _let_79))) :args _let_67) (CONG (SYMM _let_78) (REFL :args (_let_32)) :args _let_67) (SYMM _let_77) (SYMM _let_75) _let_76) :args _let_66) (CONG (REFL :args (_let_29)) (TRANS (SYMM _let_76) _let_75) :args _let_66) (SYMM _let_72) (CONG (REFL :args (tptp.one)) (TRANS (SYMM _let_71) (CONG _let_70 _let_68 :args _let_67)) :args _let_66) (SYMM _let_65)) :args (_let_16 _let_20 _let_24 _let_31 _let_30 _let_28 _let_36 _let_33 _let_35 _let_40 _let_39 _let_38))) :args (_let_16 _let_20 _let_24 _let_28 _let_30 _let_31 _let_33 _let_35 _let_36 _let_38 _let_39 _let_40))) :args (true _let_64)) :args ((or _let_15 (not _let_16) (not _let_20) (not _let_24) (not _let_28) (not _let_30) (not _let_31) (not _let_33) (not _let_35) (not _let_36) (not _let_38) (not _let_39) (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) :args (_let_62))) _let_63 :args (_let_40 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication tptp.one A)))) :args (_let_60))) _let_61 :args (_let_39 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_12 tptp.one tptp.zero QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_55)) _let_56 :args (_let_38 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_26 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48)) _let_49 :args (_let_36 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication A tptp.one)))) :args (_let_58))) _let_59 :args (_let_35 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_12 tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_55))) _let_56 :args (_let_33 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_21 _let_22 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_53)) _let_54 :args (_let_31 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args (_let_51))) _let_52 :args (_let_30 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_18 _let_17 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48)) _let_49 :args (_let_28 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_18 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48)) _let_49 :args (_let_24 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_46)) _let_47 :args (_let_20 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_13 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_44)) _let_45 :args (_let_16 false _let_11)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_43) :args _let_42)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_41)) :args (or))) _let_43 :args (_let_41 true _let_1)) :args (false false _let_40 false _let_39 false _let_38 false _let_36 false _let_35 false _let_33 false _let_31 false _let_30 false _let_28 false _let_24 false _let_20 false _let_16 true _let_15)) :args (_let_11 _let_10 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_9 _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_6 _let_5 (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))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))) (forall ((A $$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 $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.56/0.75 )
% 0.56/0.75 % SZS output end Proof for KLE139+1
% 0.56/0.75 % cvc5---1.0.5 exiting
% 0.56/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------