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TRS Standard pair #487069286
details
property
value
status
complete
benchmark
quick.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
Rubio_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.069729 seconds
cpu usage
0.032208
user time
0.018271
system time
0.013937
max virtual memory
113188.0
max residence set size
7892.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: le(0(),Y) -> true() 2: le(s(X),0()) -> false() 3: le(s(X),s(Y)) -> le(X,Y) 4: app(nil(),Y) -> Y 5: app(cons(N,L),Y) -> cons(N,app(L,Y)) 6: low(N,nil()) -> nil() 7: low(N,cons(M,L)) -> iflow(le(M,N),N,cons(M,L)) 8: iflow(true(),N,cons(M,L)) -> cons(M,low(N,L)) 9: iflow(false(),N,cons(M,L)) -> low(N,L) 10: high(N,nil()) -> nil() 11: high(N,cons(M,L)) -> ifhigh(le(M,N),N,cons(M,L)) 12: ifhigh(true(),N,cons(M,L)) -> high(N,L) 13: ifhigh(false(),N,cons(M,L)) -> cons(M,high(N,L)) 14: quicksort(nil()) -> nil() 15: quicksort(cons(N,L)) -> app(quicksort(low(N,L)),cons(N,quicksort(high(N,L)))) Number of strict rules: 15 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #ifhigh(false(),N,cons(M,L)) -> #high(N,L) #2: #iflow(false(),N,cons(M,L)) -> #low(N,L) #3: #high(N,cons(M,L)) -> #ifhigh(le(M,N),N,cons(M,L)) #4: #high(N,cons(M,L)) -> #le(M,N) #5: #ifhigh(true(),N,cons(M,L)) -> #high(N,L) #6: #low(N,cons(M,L)) -> #iflow(le(M,N),N,cons(M,L)) #7: #low(N,cons(M,L)) -> #le(M,N) #8: #app(cons(N,L),Y) -> #app(L,Y) #9: #le(s(X),s(Y)) -> #le(X,Y) #10: #iflow(true(),N,cons(M,L)) -> #low(N,L) #11: #quicksort(cons(N,L)) -> #app(quicksort(low(N,L)),cons(N,quicksort(high(N,L)))) #12: #quicksort(cons(N,L)) -> #quicksort(low(N,L)) #13: #quicksort(cons(N,L)) -> #low(N,L) #14: #quicksort(cons(N,L)) -> #quicksort(high(N,L)) #15: #quicksort(cons(N,L)) -> #high(N,L) Number of SCCs: 5, DPs: 10 SCC { #8 } POLO(Sum)... succeeded. le w: 0 s w: 0 #le w: 0 #quicksort w: 0 #high w: 0 false w: 0 quicksort w: 0 true w: 0 #iflow w: 0 0 w: 0 high w: 0 nil w: 0 #app w: x1 low w: 0 iflow w: 0 ifhigh w: 0 cons w: x2 + 1 #ifhigh w: 0 #low w: 0 app w: 0 USABLE RULES: { } Removed DPs: #8 Number of SCCs: 4, DPs: 9 SCC { #9 } POLO(Sum)... succeeded. le w: 0 s w: x1 + 1 #le w: x1 #quicksort w: 0 #high w: 0 false w: 0 quicksort w: 0 true w: 0 #iflow w: 0 0 w: 0 high w: 0 nil w: 0 #app w: 0 low w: 0 iflow w: 0 ifhigh w: 0 cons w: 1 #ifhigh w: 0 #low w: 0 app w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 3, DPs: 8 SCC { #12 #14 } POLO(Sum)... succeeded. le w: 1 s w: 1 #le w: 0 #quicksort w: x1 #high w: 0 false w: 1 quicksort w: 0 true w: 1 #iflow w: 0 0 w: 0 high w: x1 + x2 + 1
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