details

property	value
status	complete
benchmark	Ex2_Luc02a_Z.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n073.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0563381 seconds
cpu usage	0.02534
user time	0.016499
system time	0.008841
max virtual memory	113188.0
max residence set size	6512.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: terms(N) -> cons(recip(sqr(N)),n__terms(s(N))) 2: sqr(0()) -> 0() 3: sqr(s(X)) -> s(add(sqr(X),dbl(X))) 4: dbl(0()) -> 0() 5: dbl(s(X)) -> s(s(dbl(X))) 6: add(0(),X) -> X 7: add(s(X),Y) -> s(add(X,Y)) 8: first(0(),X) -> nil() 9: first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z))) 10: terms(X) -> n__terms(X) 11: first(X1,X2) -> n__first(X1,X2) 12: activate(n__terms(X)) -> terms(X) 13: activate(n__first(X1,X2)) -> first(X1,X2) 14: activate(X) -> X Number of strict rules: 14 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #activate(n__first(X1,X2)) -> #first(X1,X2) #2: #first(s(X),cons(Y,Z)) -> #activate(Z) #3: #activate(n__terms(X)) -> #terms(X) #4: #add(s(X),Y) -> #add(X,Y) #5: #dbl(s(X)) -> #dbl(X) #6: #sqr(s(X)) -> #add(sqr(X),dbl(X)) #7: #sqr(s(X)) -> #sqr(X) #8: #sqr(s(X)) -> #dbl(X) #9: #terms(N) -> #sqr(N) Number of SCCs: 4, DPs: 5 SCC { #7 } POLO(Sum)... succeeded. s w: x1 + 1 n__first w: 0 recip w: 0 activate w: 0 dbl w: 0 #dbl w: 0 #terms w: 0 #activate w: 0 #sqr w: x1 0 w: 0 #first w: 0 nil w: 0 first w: 0 n__terms w: 0 cons w: 0 #add w: 0 add w: 0 sqr w: 0 terms w: 0 USABLE RULES: { } Removed DPs: #7 Number of SCCs: 3, DPs: 4 SCC { #5 } POLO(Sum)... succeeded. s w: x1 + 1 n__first w: 0 recip w: 0 activate w: 0 dbl w: 0 #dbl w: x1 #terms w: 0 #activate w: 0 #sqr w: 0 0 w: 0 #first w: 0 nil w: 0 first w: 0 n__terms w: 0 cons w: 0 #add w: 0 add w: 0 sqr w: 0 terms w: 0 USABLE RULES: { } Removed DPs: #5 Number of SCCs: 2, DPs: 3 SCC { #4 } POLO(Sum)... succeeded. s w: x1 + 1 n__first w: 0 recip w: 0 activate w: 0 dbl w: 0 #dbl w: 0 #terms w: 0 #activate w: 0 #sqr w: 0 0 w: 0 #first w: 0 nil w: 0 first w: 0 n__terms w: 0 cons w: 0 #add w: x1 add w: 0 sqr w: 0 terms w: 0 USABLE RULES: { } popout

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

job log

popout

actions

all output return to TRS Standard