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TRS Contextsensitive pair #487092496
details
property
value
status
complete
benchmark
ExSec11_1_Luc02a.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0190281 seconds
cpu usage
0.01957
user time
0.009515
system time
0.010055
max virtual memory
113188.0
max residence set size
6460.0
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) (half 1) (sqr 1) (terms 1) (0) (cons 1) (nil) (recip 1) (s 1) ) (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)) half(dbl(X)) -> X half(0) -> 0 half(s(0)) -> 0 half(s(s(X))) -> s(half(X)) sqr(0) -> 0 sqr(s(X)) -> s(add(sqr(X),dbl(X))) terms(N) -> cons(recip(sqr(N)),terms(s(N))) ) Problem 1: Dependency Pairs Processor: -> Pairs: ADD(s(X),Y) -> ADD(X,Y) DBL(s(X)) -> DBL(X) HALF(s(s(X))) -> HALF(X) SQR(s(X)) -> ADD(sqr(X),dbl(X)) SQR(s(X)) -> DBL(X) SQR(s(X)) -> SQR(X) 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)) half(dbl(X)) -> X half(0) -> 0 half(s(0)) -> 0 half(s(s(X))) -> s(half(X)) 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: ADD(s(X),Y) -> ADD(X,Y) DBL(s(X)) -> DBL(X) HALF(s(s(X))) -> HALF(X) SQR(s(X)) -> ADD(sqr(X),dbl(X)) SQR(s(X)) -> DBL(X) SQR(s(X)) -> SQR(X) 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)) half(dbl(X)) -> X half(0) -> 0 half(s(0)) -> 0 half(s(s(X))) -> s(half(X)) 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: ->->Cycle: ->->-> Pairs: HALF(s(s(X))) -> HALF(X) ->->-> 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))
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