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	n182.star.cs.uiowa.edu
space	Strategy_removed_CSR_05

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	141.094 seconds
cpu usage	140.986
user time	116.046
system time	24.9402
max virtual memory	599080.0
max residence set size	8344.0

stage attributes

key	value
starexec-result	NO

output

NO Problem 1: (VAR v_NonEmpty:S N:S X:S Y:S Z:S) (RULES add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) dbl(0) -> 0 dbl(s(X:S)) -> s(s(dbl(X:S))) first(0,X:S) -> nil first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,first(X:S,Z:S)) sqr(0) -> 0 sqr(s(X:S)) -> s(add(sqr(X:S),dbl(X:S))) terms(N:S) -> cons(recip(sqr(N:S)),terms(s(N:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) DBL(s(X:S)) -> DBL(X:S) FIRST(s(X:S),cons(Y:S,Z:S)) -> FIRST(X:S,Z:S) SQR(s(X:S)) -> ADD(sqr(X:S),dbl(X:S)) SQR(s(X:S)) -> DBL(X:S) SQR(s(X:S)) -> SQR(X:S) TERMS(N:S) -> SQR(N:S) TERMS(N:S) -> TERMS(s(N:S)) -> Rules: add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) dbl(0) -> 0 dbl(s(X:S)) -> s(s(dbl(X:S))) first(0,X:S) -> nil first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,first(X:S,Z:S)) sqr(0) -> 0 sqr(s(X:S)) -> s(add(sqr(X:S),dbl(X:S))) terms(N:S) -> cons(recip(sqr(N:S)),terms(s(N:S))) Problem 1: Infinite Processor: -> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) DBL(s(X:S)) -> DBL(X:S) FIRST(s(X:S),cons(Y:S,Z:S)) -> FIRST(X:S,Z:S) SQR(s(X:S)) -> ADD(sqr(X:S),dbl(X:S)) SQR(s(X:S)) -> DBL(X:S) SQR(s(X:S)) -> SQR(X:S) TERMS(N:S) -> SQR(N:S) TERMS(N:S) -> TERMS(s(N:S)) -> Rules: add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) dbl(0) -> 0 dbl(s(X:S)) -> s(s(dbl(X:S))) first(0,X:S) -> nil first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,first(X:S,Z:S)) sqr(0) -> 0 sqr(s(X:S)) -> s(add(sqr(X:S),dbl(X:S))) terms(N:S) -> cons(recip(sqr(N:S)),terms(s(N:S))) -> Pairs in cycle: TERMS(N:S) -> TERMS(s(N:S)) The problem is infinite. popout

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

job log

popout

actions

all output return to TRS Standard