details

property	value
status	complete
benchmark	MYNAT_nosorts_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n073.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	66.8401 seconds
cpu usage	63.0436
user time	54.6175
system time	8.42608
max virtual memory	817536.0
max residence set size	19344.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S M:S N:S X:S X1:S X2:S X3:S) (RULES a__U11(tt,M:S,N:S) -> a__U12(tt,M:S,N:S) a__U11(X1:S,X2:S,X3:S) -> U11(X1:S,X2:S,X3:S) a__U12(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) a__U12(X1:S,X2:S,X3:S) -> U12(X1:S,X2:S,X3:S) a__U21(tt,M:S,N:S) -> a__U22(tt,M:S,N:S) a__U21(X1:S,X2:S,X3:S) -> U21(X1:S,X2:S,X3:S) a__U22(tt,M:S,N:S) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) a__U22(X1:S,X2:S,X3:S) -> U22(X1:S,X2:S,X3:S) a__plus(N:S,0) -> mark(N:S) a__plus(N:S,s(M:S)) -> a__U11(tt,M:S,N:S) a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) a__x(N:S,0) -> 0 a__x(N:S,s(M:S)) -> a__U21(tt,M:S,N:S) a__x(X1:S,X2:S) -> x(X1:S,X2:S) mark(0) -> 0 mark(U11(X1:S,X2:S,X3:S)) -> a__U11(mark(X1:S),X2:S,X3:S) mark(U12(X1:S,X2:S,X3:S)) -> a__U12(mark(X1:S),X2:S,X3:S) mark(U21(X1:S,X2:S,X3:S)) -> a__U21(mark(X1:S),X2:S,X3:S) mark(U22(X1:S,X2:S,X3:S)) -> a__U22(mark(X1:S),X2:S,X3:S) mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt mark(x(X1:S,X2:S)) -> a__x(mark(X1:S),mark(X2:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__U11(tt,M:S,N:S) -> A__U12(tt,M:S,N:S) A__U12(tt,M:S,N:S) -> A__PLUS(mark(N:S),mark(M:S)) A__U12(tt,M:S,N:S) -> MARK(M:S) A__U12(tt,M:S,N:S) -> MARK(N:S) A__U21(tt,M:S,N:S) -> A__U22(tt,M:S,N:S) A__U22(tt,M:S,N:S) -> A__PLUS(a__x(mark(N:S),mark(M:S)),mark(N:S)) A__U22(tt,M:S,N:S) -> A__X(mark(N:S),mark(M:S)) A__U22(tt,M:S,N:S) -> MARK(M:S) A__U22(tt,M:S,N:S) -> MARK(N:S) A__PLUS(N:S,0) -> MARK(N:S) A__PLUS(N:S,s(M:S)) -> A__U11(tt,M:S,N:S) A__X(N:S,s(M:S)) -> A__U21(tt,M:S,N:S) MARK(U11(X1:S,X2:S,X3:S)) -> A__U11(mark(X1:S),X2:S,X3:S) MARK(U11(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(U12(X1:S,X2:S,X3:S)) -> A__U12(mark(X1:S),X2:S,X3:S) MARK(U12(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(U21(X1:S,X2:S,X3:S)) -> A__U21(mark(X1:S),X2:S,X3:S) MARK(U21(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(U22(X1:S,X2:S,X3:S)) -> A__U22(mark(X1:S),X2:S,X3:S) MARK(U22(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(plus(X1:S,X2:S)) -> A__PLUS(mark(X1:S),mark(X2:S)) MARK(plus(X1:S,X2:S)) -> MARK(X1:S) MARK(plus(X1:S,X2:S)) -> MARK(X2:S) MARK(s(X:S)) -> MARK(X:S) MARK(x(X1:S,X2:S)) -> A__X(mark(X1:S),mark(X2:S)) MARK(x(X1:S,X2:S)) -> MARK(X1:S) MARK(x(X1:S,X2:S)) -> MARK(X2:S) -> Rules: a__U11(tt,M:S,N:S) -> a__U12(tt,M:S,N:S) a__U11(X1:S,X2:S,X3:S) -> U11(X1:S,X2:S,X3:S) a__U12(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) a__U12(X1:S,X2:S,X3:S) -> U12(X1:S,X2:S,X3:S) a__U21(tt,M:S,N:S) -> a__U22(tt,M:S,N:S) a__U21(X1:S,X2:S,X3:S) -> U21(X1:S,X2:S,X3:S) a__U22(tt,M:S,N:S) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) a__U22(X1:S,X2:S,X3:S) -> U22(X1:S,X2:S,X3:S) a__plus(N:S,0) -> mark(N:S) a__plus(N:S,s(M:S)) -> a__U11(tt,M:S,N:S) a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) a__x(N:S,0) -> 0 a__x(N:S,s(M:S)) -> a__U21(tt,M:S,N:S) a__x(X1:S,X2:S) -> x(X1:S,X2:S) mark(0) -> 0 mark(U11(X1:S,X2:S,X3:S)) -> a__U11(mark(X1:S),X2:S,X3:S) mark(U12(X1:S,X2:S,X3:S)) -> a__U12(mark(X1:S),X2:S,X3:S) mark(U21(X1:S,X2:S,X3:S)) -> a__U21(mark(X1:S),X2:S,X3:S) mark(U22(X1:S,X2:S,X3:S)) -> a__U22(mark(X1:S),X2:S,X3:S) mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt mark(x(X1:S,X2:S)) -> a__x(mark(X1:S),mark(X2:S)) Problem 1: SCC Processor: -> Pairs: A__U11(tt,M:S,N:S) -> A__U12(tt,M:S,N:S) A__U12(tt,M:S,N:S) -> A__PLUS(mark(N:S),mark(M:S)) A__U12(tt,M:S,N:S) -> MARK(M:S) A__U12(tt,M:S,N:S) -> MARK(N:S) A__U21(tt,M:S,N:S) -> A__U22(tt,M:S,N:S) A__U22(tt,M:S,N:S) -> A__PLUS(a__x(mark(N:S),mark(M:S)),mark(N:S)) A__U22(tt,M:S,N:S) -> A__X(mark(N:S),mark(M:S)) A__U22(tt,M:S,N:S) -> MARK(M:S) A__U22(tt,M:S,N:S) -> MARK(N:S) popout

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actions

all output return to TRS Standard