details

property	value
status	complete
benchmark	Ex3_3_25_Bor03_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.29201 seconds
cpu usage	0.299622
user time	0.224476
system time	0.075146
max virtual memory	113188.0
max residence set size	9256.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S L:S X:S X1:S X2:S XS:S Y:S YS:S) (RULES a__app(cons(X:S,XS:S),YS:S) -> cons(mark(X:S),app(XS:S,YS:S)) a__app(nil,YS:S) -> mark(YS:S) a__app(X1:S,X2:S) -> app(X1:S,X2:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__prefix(L:S) -> cons(nil,zWadr(L:S,prefix(L:S))) a__prefix(X:S) -> prefix(X:S) a__zWadr(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(a__app(mark(Y:S),cons(mark(X:S),nil)),zWadr(XS:S,YS:S)) a__zWadr(nil,YS:S) -> nil a__zWadr(X1:S,X2:S) -> zWadr(X1:S,X2:S) a__zWadr(XS:S,nil) -> nil mark(app(X1:S,X2:S)) -> a__app(mark(X1:S),mark(X2:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(from(X:S)) -> a__from(mark(X:S)) mark(nil) -> nil mark(prefix(X:S)) -> a__prefix(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(zWadr(X1:S,X2:S)) -> a__zWadr(mark(X1:S),mark(X2:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__APP(cons(X:S,XS:S),YS:S) -> MARK(X:S) A__APP(nil,YS:S) -> MARK(YS:S) A__FROM(X:S) -> MARK(X:S) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> A__APP(mark(Y:S),cons(mark(X:S),nil)) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> MARK(X:S) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> MARK(Y:S) MARK(app(X1:S,X2:S)) -> A__APP(mark(X1:S),mark(X2:S)) MARK(app(X1:S,X2:S)) -> MARK(X1:S) MARK(app(X1:S,X2:S)) -> MARK(X2:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(from(X:S)) -> A__FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(prefix(X:S)) -> A__PREFIX(mark(X:S)) MARK(prefix(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(zWadr(X1:S,X2:S)) -> A__ZWADR(mark(X1:S),mark(X2:S)) MARK(zWadr(X1:S,X2:S)) -> MARK(X1:S) MARK(zWadr(X1:S,X2:S)) -> MARK(X2:S) -> Rules: a__app(cons(X:S,XS:S),YS:S) -> cons(mark(X:S),app(XS:S,YS:S)) a__app(nil,YS:S) -> mark(YS:S) a__app(X1:S,X2:S) -> app(X1:S,X2:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__prefix(L:S) -> cons(nil,zWadr(L:S,prefix(L:S))) a__prefix(X:S) -> prefix(X:S) a__zWadr(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(a__app(mark(Y:S),cons(mark(X:S),nil)),zWadr(XS:S,YS:S)) a__zWadr(nil,YS:S) -> nil a__zWadr(X1:S,X2:S) -> zWadr(X1:S,X2:S) a__zWadr(XS:S,nil) -> nil mark(app(X1:S,X2:S)) -> a__app(mark(X1:S),mark(X2:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(from(X:S)) -> a__from(mark(X:S)) mark(nil) -> nil mark(prefix(X:S)) -> a__prefix(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(zWadr(X1:S,X2:S)) -> a__zWadr(mark(X1:S),mark(X2:S)) Problem 1: SCC Processor: -> Pairs: A__APP(cons(X:S,XS:S),YS:S) -> MARK(X:S) A__APP(nil,YS:S) -> MARK(YS:S) A__FROM(X:S) -> MARK(X:S) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> A__APP(mark(Y:S),cons(mark(X:S),nil)) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> MARK(X:S) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> MARK(Y:S) MARK(app(X1:S,X2:S)) -> A__APP(mark(X1:S),mark(X2:S)) MARK(app(X1:S,X2:S)) -> MARK(X1:S) MARK(app(X1:S,X2:S)) -> MARK(X2:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(from(X:S)) -> A__FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(prefix(X:S)) -> A__PREFIX(mark(X:S)) MARK(prefix(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(zWadr(X1:S,X2:S)) -> A__ZWADR(mark(X1:S),mark(X2:S)) MARK(zWadr(X1:S,X2:S)) -> MARK(X1:S) MARK(zWadr(X1:S,X2:S)) -> MARK(X2:S) -> Rules: a__app(cons(X:S,XS:S),YS:S) -> cons(mark(X:S),app(XS:S,YS:S)) a__app(nil,YS:S) -> mark(YS:S) a__app(X1:S,X2:S) -> app(X1:S,X2:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__prefix(L:S) -> cons(nil,zWadr(L:S,prefix(L:S))) a__prefix(X:S) -> prefix(X:S) a__zWadr(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(a__app(mark(Y:S),cons(mark(X:S),nil)),zWadr(XS:S,YS:S)) a__zWadr(nil,YS:S) -> nil popout

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

job log

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actions

all output return to TRS Standard