details

property	value
status	complete
benchmark	PEANO_complete_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	15.5168 seconds
cpu usage	14.6471
user time	11.9756
system time	2.67144
max virtual memory	712276.0
max residence set size	19848.0

stage attributes

key	value
starexec-result	YES

output

14.55/15.48 YES 14.55/15.48 14.55/15.48 Problem 1: 14.55/15.48 14.55/15.48 (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S X3:S) 14.55/15.48 (RULES 14.55/15.48 a__U11(tt,V1:S,V2:S) -> a__U12(a__isNat(V1:S),V2:S) 14.55/15.48 a__U11(X1:S,X2:S,X3:S) -> U11(X1:S,X2:S,X3:S) 14.55/15.48 a__U12(tt,V2:S) -> a__U13(a__isNat(V2:S)) 14.55/15.48 a__U12(X1:S,X2:S) -> U12(X1:S,X2:S) 14.55/15.48 a__U13(tt) -> tt 14.55/15.48 a__U13(X:S) -> U13(X:S) 14.55/15.48 a__U21(tt,V1:S) -> a__U22(a__isNat(V1:S)) 14.55/15.48 a__U21(X1:S,X2:S) -> U21(X1:S,X2:S) 14.55/15.48 a__U22(tt) -> tt 14.55/15.48 a__U22(X:S) -> U22(X:S) 14.55/15.48 a__U31(tt,N:S) -> mark(N:S) 14.55/15.48 a__U31(X1:S,X2:S) -> U31(X1:S,X2:S) 14.55/15.48 a__U41(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) 14.55/15.48 a__U41(X1:S,X2:S,X3:S) -> U41(X1:S,X2:S,X3:S) 14.55/15.48 a__and(tt,X:S) -> mark(X:S) 14.55/15.48 a__and(X1:S,X2:S) -> and(X1:S,X2:S) 14.55/15.48 a__isNat(0) -> tt 14.55/15.48 a__isNat(plus(V1:S,V2:S)) -> a__U11(a__and(a__isNatKind(V1:S),isNatKind(V2:S)),V1:S,V2:S) 14.55/15.48 a__isNat(s(V1:S)) -> a__U21(a__isNatKind(V1:S),V1:S) 14.55/15.48 a__isNat(X:S) -> isNat(X:S) 14.55/15.48 a__isNatKind(0) -> tt 14.55/15.48 a__isNatKind(plus(V1:S,V2:S)) -> a__and(a__isNatKind(V1:S),isNatKind(V2:S)) 14.55/15.48 a__isNatKind(s(V1:S)) -> a__isNatKind(V1:S) 14.55/15.48 a__isNatKind(X:S) -> isNatKind(X:S) 14.55/15.48 a__plus(N:S,0) -> a__U31(a__and(a__isNat(N:S),isNatKind(N:S)),N:S) 14.55/15.48 a__plus(N:S,s(M:S)) -> a__U41(a__and(a__and(a__isNat(M:S),isNatKind(M:S)),and(isNat(N:S),isNatKind(N:S))),M:S,N:S) 14.55/15.48 a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) 14.55/15.48 mark(0) -> 0 14.55/15.48 mark(U11(X1:S,X2:S,X3:S)) -> a__U11(mark(X1:S),X2:S,X3:S) 14.55/15.48 mark(U12(X1:S,X2:S)) -> a__U12(mark(X1:S),X2:S) 14.55/15.48 mark(U13(X:S)) -> a__U13(mark(X:S)) 14.55/15.48 mark(U21(X1:S,X2:S)) -> a__U21(mark(X1:S),X2:S) 14.55/15.48 mark(U22(X:S)) -> a__U22(mark(X:S)) 14.55/15.48 mark(U31(X1:S,X2:S)) -> a__U31(mark(X1:S),X2:S) 14.55/15.48 mark(U41(X1:S,X2:S,X3:S)) -> a__U41(mark(X1:S),X2:S,X3:S) 14.55/15.48 mark(and(X1:S,X2:S)) -> a__and(mark(X1:S),X2:S) 14.55/15.48 mark(isNat(X:S)) -> a__isNat(X:S) 14.55/15.48 mark(isNatKind(X:S)) -> a__isNatKind(X:S) 14.55/15.48 mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) 14.55/15.48 mark(s(X:S)) -> s(mark(X:S)) 14.55/15.48 mark(tt) -> tt 14.55/15.48 ) 14.55/15.48 (STRATEGY INNERMOST) 14.55/15.48 14.55/15.48 Problem 1: 14.55/15.48 14.55/15.48 Dependency Pairs Processor: 14.55/15.48 -> Pairs: 14.55/15.48 A__U11(tt,V1:S,V2:S) -> A__U12(a__isNat(V1:S),V2:S) 14.55/15.48 A__U11(tt,V1:S,V2:S) -> A__ISNAT(V1:S) 14.55/15.48 A__U12(tt,V2:S) -> A__U13(a__isNat(V2:S)) 14.55/15.48 A__U12(tt,V2:S) -> A__ISNAT(V2:S) 14.55/15.48 A__U21(tt,V1:S) -> A__U22(a__isNat(V1:S)) 14.55/15.48 A__U21(tt,V1:S) -> A__ISNAT(V1:S) 14.55/15.48 A__U31(tt,N:S) -> MARK(N:S) 14.55/15.48 A__U41(tt,M:S,N:S) -> A__PLUS(mark(N:S),mark(M:S)) 14.55/15.48 A__U41(tt,M:S,N:S) -> MARK(M:S) 14.55/15.48 A__U41(tt,M:S,N:S) -> MARK(N:S) 14.55/15.48 A__AND(tt,X:S) -> MARK(X:S) 14.55/15.48 A__ISNAT(plus(V1:S,V2:S)) -> A__U11(a__and(a__isNatKind(V1:S),isNatKind(V2:S)),V1:S,V2:S) 14.55/15.48 A__ISNAT(plus(V1:S,V2:S)) -> A__AND(a__isNatKind(V1:S),isNatKind(V2:S)) 14.55/15.48 A__ISNAT(plus(V1:S,V2:S)) -> A__ISNATKIND(V1:S) 14.55/15.48 A__ISNAT(s(V1:S)) -> A__U21(a__isNatKind(V1:S),V1:S) 14.55/15.48 A__ISNAT(s(V1:S)) -> A__ISNATKIND(V1:S) 14.55/15.48 A__ISNATKIND(plus(V1:S,V2:S)) -> A__AND(a__isNatKind(V1:S),isNatKind(V2:S)) 14.55/15.48 A__ISNATKIND(plus(V1:S,V2:S)) -> A__ISNATKIND(V1:S) 14.55/15.48 A__ISNATKIND(s(V1:S)) -> A__ISNATKIND(V1:S) 14.55/15.48 A__PLUS(N:S,0) -> A__U31(a__and(a__isNat(N:S),isNatKind(N:S)),N:S) 14.55/15.48 A__PLUS(N:S,0) -> A__AND(a__isNat(N:S),isNatKind(N:S)) 14.55/15.48 A__PLUS(N:S,0) -> A__ISNAT(N:S) 14.55/15.48 A__PLUS(N:S,s(M:S)) -> A__U41(a__and(a__and(a__isNat(M:S),isNatKind(M:S)),and(isNat(N:S),isNatKind(N:S))),M:S,N:S) 14.55/15.48 A__PLUS(N:S,s(M:S)) -> A__AND(a__and(a__isNat(M:S),isNatKind(M:S)),and(isNat(N:S),isNatKind(N:S))) 14.55/15.48 A__PLUS(N:S,s(M:S)) -> A__AND(a__isNat(M:S),isNatKind(M:S)) 14.55/15.48 A__PLUS(N:S,s(M:S)) -> A__ISNAT(M:S) 14.55/15.48 MARK(U11(X1:S,X2:S,X3:S)) -> A__U11(mark(X1:S),X2:S,X3:S) 14.55/15.48 MARK(U11(X1:S,X2:S,X3:S)) -> MARK(X1:S) 14.55/15.48 MARK(U12(X1:S,X2:S)) -> A__U12(mark(X1:S),X2:S) 14.55/15.48 MARK(U12(X1:S,X2:S)) -> MARK(X1:S) 14.55/15.48 MARK(U13(X:S)) -> A__U13(mark(X:S)) 14.55/15.48 MARK(U13(X:S)) -> MARK(X:S) 14.55/15.48 MARK(U21(X1:S,X2:S)) -> A__U21(mark(X1:S),X2:S) 14.55/15.48 MARK(U21(X1:S,X2:S)) -> MARK(X1:S) 14.55/15.48 MARK(U22(X:S)) -> A__U22(mark(X:S)) 14.55/15.48 MARK(U22(X:S)) -> MARK(X:S) 14.55/15.48 MARK(U31(X1:S,X2:S)) -> A__U31(mark(X1:S),X2:S) 14.55/15.48 MARK(U31(X1:S,X2:S)) -> MARK(X1:S) 14.55/15.48 MARK(U41(X1:S,X2:S,X3:S)) -> A__U41(mark(X1:S),X2:S,X3:S) 14.55/15.48 MARK(U41(X1:S,X2:S,X3:S)) -> MARK(X1:S) 14.55/15.48 MARK(and(X1:S,X2:S)) -> A__AND(mark(X1:S),X2:S) 14.55/15.48 MARK(and(X1:S,X2:S)) -> MARK(X1:S) 14.55/15.48 MARK(isNat(X:S)) -> A__ISNAT(X:S) 14.55/15.48 MARK(isNatKind(X:S)) -> A__ISNATKIND(X:S) 14.55/15.48 MARK(plus(X1:S,X2:S)) -> A__PLUS(mark(X1:S),mark(X2:S)) 14.55/15.48 MARK(plus(X1:S,X2:S)) -> MARK(X1:S) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS_Innermost 2019-03-28 22.12