details

property	value
status	complete
benchmark	Ex26_Luc03b.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.01715 seconds
cpu usage	0.017642
user time	0.009727
system time	0.007915
max virtual memory	113188.0
max residence set size	4944.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR N X Y Z) (STRATEGY CONTEXTSENSITIVE (add 1 2) (dbl 1) (first 1 2) (sqr 1) (terms 1) (0) (cons 1) (nil) (recip 1) (s) ) (RULES add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) dbl(0) -> 0 dbl(s(X)) -> s(s(dbl(X))) first(0,X) -> nil first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z)) sqr(0) -> 0 sqr(s(X)) -> s(add(sqr(X),dbl(X))) terms(N) -> cons(recip(sqr(N)),terms(s(N))) ) Problem 1: Innermost Equivalent Processor: -> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) dbl(0) -> 0 dbl(s(X)) -> s(s(dbl(X))) first(0,X) -> nil first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z)) sqr(0) -> 0 sqr(s(X)) -> s(add(sqr(X),dbl(X))) terms(N) -> cons(recip(sqr(N)),terms(s(N))) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: TERMS(N) -> SQR(N) -> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) dbl(0) -> 0 dbl(s(X)) -> s(s(dbl(X))) first(0,X) -> nil first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z)) sqr(0) -> 0 sqr(s(X)) -> s(add(sqr(X),dbl(X))) terms(N) -> cons(recip(sqr(N)),terms(s(N))) -> Unhiding Rules: Empty Problem 1: SCC Processor: -> Pairs: TERMS(N) -> SQR(N) -> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) dbl(0) -> 0 dbl(s(X)) -> s(s(dbl(X))) first(0,X) -> nil first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z)) sqr(0) -> 0 sqr(s(X)) -> s(add(sqr(X),dbl(X))) terms(N) -> cons(recip(sqr(N)),terms(s(N))) -> Unhiding rules: Empty ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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job log

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actions

all output return to TRS Contextsensitive