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	n138.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.05739402771 seconds
cpu usage	0.018418968
max memory	1597440.0

stage attributes

key	value
output-size	1840
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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

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

job log

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actions

all output return to TRS Context Sensitive