details

property	value
status	complete
benchmark	Ex26_Luc03b_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n177.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.080262 seconds
cpu usage	0.028302
user time	0.0125
system time	0.015802
max virtual memory	113188.0
max residence set size	9236.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: a__terms(N) -> cons(recip(a__sqr(mark(N))),terms(s(N))) 2: a__sqr(0()) -> 0() 3: a__sqr(s(X)) -> s(add(sqr(X),dbl(X))) 4: a__dbl(0()) -> 0() 5: a__dbl(s(X)) -> s(s(dbl(X))) 6: a__add(0(),X) -> mark(X) 7: a__add(s(X),Y) -> s(add(X,Y)) 8: a__first(0(),X) -> nil() 9: a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z)) 10: mark(terms(X)) -> a__terms(mark(X)) 11: mark(sqr(X)) -> a__sqr(mark(X)) 12: mark(add(X1,X2)) -> a__add(mark(X1),mark(X2)) 13: mark(dbl(X)) -> a__dbl(mark(X)) 14: mark(first(X1,X2)) -> a__first(mark(X1),mark(X2)) 15: mark(cons(X1,X2)) -> cons(mark(X1),X2) 16: mark(recip(X)) -> recip(mark(X)) 17: mark(s(X)) -> s(X) 18: mark(0()) -> 0() 19: mark(nil()) -> nil() 20: a__terms(X) -> terms(X) 21: a__sqr(X) -> sqr(X) 22: a__add(X1,X2) -> add(X1,X2) 23: a__dbl(X) -> dbl(X) 24: a__first(X1,X2) -> first(X1,X2) Number of strict rules: 24 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a__add(0(),X) -> #mark(X) #2: #mark(dbl(X)) -> #a__dbl(mark(X)) #3: #mark(dbl(X)) -> #mark(X) #4: #a__first(s(X),cons(Y,Z)) -> #mark(Y) #5: #mark(sqr(X)) -> #a__sqr(mark(X)) #6: #mark(sqr(X)) -> #mark(X) #7: #mark(add(X1,X2)) -> #a__add(mark(X1),mark(X2)) #8: #mark(add(X1,X2)) -> #mark(X1) #9: #mark(add(X1,X2)) -> #mark(X2) #10: #mark(first(X1,X2)) -> #a__first(mark(X1),mark(X2)) #11: #mark(first(X1,X2)) -> #mark(X1) #12: #mark(first(X1,X2)) -> #mark(X2) #13: #mark(terms(X)) -> #a__terms(mark(X)) #14: #mark(terms(X)) -> #mark(X) #15: #mark(recip(X)) -> #mark(X) #16: #a__terms(N) -> #a__sqr(mark(N)) #17: #a__terms(N) -> #mark(N) #18: #mark(cons(X1,X2)) -> #mark(X1) Number of SCCs: 1, DPs: 15 SCC { #1 #3 #4 #6..15 #17 #18 } POLO(Sum)... succeeded. s w: 1 #a__first w: x1 + x2 recip w: x1 + 23612 dbl w: x1 + 1 #a__add w: x2 + 18755 a__add w: x1 + x2 + 18755 a__dbl w: x1 + 1 a__sqr w: x1 + 29534 #a__terms w: x1 + 1 #mark w: x1 0 w: 1 nil w: 2 #a__dbl w: 0 mark w: x1 first w: x1 + x2 + 1 a__first w: x1 + x2 + 1 cons w: x1 + 19335 add w: x1 + x2 + 18755 sqr w: x1 + 29534 a__terms w: x1 + 72481 #a__sqr w: 0 terms w: x1 + 72481 USABLE RULES: { 1..24 } Removed DPs: #1 #3 #4 #6 #8..15 #17 #18 Number of SCCs: 0, DPs: 0 popout

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

job log

popout

actions

all output return to TRS Standard