details

property	value
status	complete
benchmark	Ex1_GL02a_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)	0.025566 seconds
cpu usage	0.02609
user time	0.006141
system time	0.019949
max virtual memory	113188.0
max residence set size	7828.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S L:S X:S X1:S X2:S Y:S) (RULES a__eq(0,0) -> ttrue a__eq(s(X:S),s(Y:S)) -> a__eq(X:S,Y:S) a__eq(X:S,Y:S) -> ffalse a__eq(X1:S,X2:S) -> eq(X1:S,X2:S) a__inf(X:S) -> cons(X:S,inf(s(X:S))) a__inf(X:S) -> inf(X:S) a__length(cons(X:S,L:S)) -> s(length(L:S)) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__take(0,X:S) -> nil a__take(s(X:S),cons(Y:S,L:S)) -> cons(Y:S,take(X:S,L:S)) a__take(X1:S,X2:S) -> take(X1:S,X2:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(X1:S,X2:S) mark(eq(X1:S,X2:S)) -> a__eq(X1:S,X2:S) mark(ffalse) -> ffalse mark(inf(X:S)) -> a__inf(mark(X:S)) mark(length(X:S)) -> a__length(mark(X:S)) mark(nil) -> nil mark(s(X:S)) -> s(X:S) mark(take(X1:S,X2:S)) -> a__take(mark(X1:S),mark(X2:S)) mark(ttrue) -> ttrue ) Problem 1: Dependency Pairs Processor: -> Pairs: A__EQ(s(X:S),s(Y:S)) -> A__EQ(X:S,Y:S) MARK(eq(X1:S,X2:S)) -> A__EQ(X1:S,X2:S) MARK(inf(X:S)) -> A__INF(mark(X:S)) MARK(inf(X:S)) -> MARK(X:S) MARK(length(X:S)) -> A__LENGTH(mark(X:S)) MARK(length(X:S)) -> MARK(X:S) MARK(take(X1:S,X2:S)) -> A__TAKE(mark(X1:S),mark(X2:S)) MARK(take(X1:S,X2:S)) -> MARK(X1:S) MARK(take(X1:S,X2:S)) -> MARK(X2:S) -> Rules: a__eq(0,0) -> ttrue a__eq(s(X:S),s(Y:S)) -> a__eq(X:S,Y:S) a__eq(X:S,Y:S) -> ffalse a__eq(X1:S,X2:S) -> eq(X1:S,X2:S) a__inf(X:S) -> cons(X:S,inf(s(X:S))) a__inf(X:S) -> inf(X:S) a__length(cons(X:S,L:S)) -> s(length(L:S)) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__take(0,X:S) -> nil a__take(s(X:S),cons(Y:S,L:S)) -> cons(Y:S,take(X:S,L:S)) a__take(X1:S,X2:S) -> take(X1:S,X2:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(X1:S,X2:S) mark(eq(X1:S,X2:S)) -> a__eq(X1:S,X2:S) mark(ffalse) -> ffalse mark(inf(X:S)) -> a__inf(mark(X:S)) mark(length(X:S)) -> a__length(mark(X:S)) mark(nil) -> nil mark(s(X:S)) -> s(X:S) mark(take(X1:S,X2:S)) -> a__take(mark(X1:S),mark(X2:S)) mark(ttrue) -> ttrue Problem 1: SCC Processor: -> Pairs: A__EQ(s(X:S),s(Y:S)) -> A__EQ(X:S,Y:S) MARK(eq(X1:S,X2:S)) -> A__EQ(X1:S,X2:S) MARK(inf(X:S)) -> A__INF(mark(X:S)) MARK(inf(X:S)) -> MARK(X:S) MARK(length(X:S)) -> A__LENGTH(mark(X:S)) MARK(length(X:S)) -> MARK(X:S) MARK(take(X1:S,X2:S)) -> A__TAKE(mark(X1:S),mark(X2:S)) MARK(take(X1:S,X2:S)) -> MARK(X1:S) MARK(take(X1:S,X2:S)) -> MARK(X2:S) -> Rules: a__eq(0,0) -> ttrue a__eq(s(X:S),s(Y:S)) -> a__eq(X:S,Y:S) a__eq(X:S,Y:S) -> ffalse a__eq(X1:S,X2:S) -> eq(X1:S,X2:S) a__inf(X:S) -> cons(X:S,inf(s(X:S))) a__inf(X:S) -> inf(X:S) a__length(cons(X:S,L:S)) -> s(length(L:S)) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__take(0,X:S) -> nil a__take(s(X:S),cons(Y:S,L:S)) -> cons(Y:S,take(X:S,L:S)) a__take(X1:S,X2:S) -> take(X1:S,X2:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(X1:S,X2:S) mark(eq(X1:S,X2:S)) -> a__eq(X1:S,X2:S) mark(ffalse) -> ffalse mark(inf(X:S)) -> a__inf(mark(X:S)) mark(length(X:S)) -> a__length(mark(X:S)) mark(nil) -> nil popout

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actions

all output return to TRS Standard