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TRS Standard pair #487069406
details
property
value
status
complete
benchmark
Ex9_BLR02_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.06614 seconds
cpu usage
0.029478
user time
0.014167
system time
0.015311
max virtual memory
113188.0
max residence set size
9240.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: a__filter(cons(X,Y),0(),M) -> cons(0(),filter(Y,M,M)) 2: a__filter(cons(X,Y),s(N),M) -> cons(mark(X),filter(Y,N,M)) 3: a__sieve(cons(0(),Y)) -> cons(0(),sieve(Y)) 4: a__sieve(cons(s(N),Y)) -> cons(s(mark(N)),sieve(filter(Y,N,N))) 5: a__nats(N) -> cons(mark(N),nats(s(N))) 6: a__zprimes() -> a__sieve(a__nats(s(s(0())))) 7: mark(filter(X1,X2,X3)) -> a__filter(mark(X1),mark(X2),mark(X3)) 8: mark(sieve(X)) -> a__sieve(mark(X)) 9: mark(nats(X)) -> a__nats(mark(X)) 10: mark(zprimes()) -> a__zprimes() 11: mark(cons(X1,X2)) -> cons(mark(X1),X2) 12: mark(0()) -> 0() 13: mark(s(X)) -> s(mark(X)) 14: a__filter(X1,X2,X3) -> filter(X1,X2,X3) 15: a__sieve(X) -> sieve(X) 16: a__nats(X) -> nats(X) 17: a__zprimes() -> zprimes() Number of strict rules: 17 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a__filter(cons(X,Y),s(N),M) -> #mark(X) #2: #a__zprimes() -> #a__sieve(a__nats(s(s(0())))) #3: #a__zprimes() -> #a__nats(s(s(0()))) #4: #mark(s(X)) -> #mark(X) #5: #mark(nats(X)) -> #a__nats(mark(X)) #6: #mark(nats(X)) -> #mark(X) #7: #mark(cons(X1,X2)) -> #mark(X1) #8: #mark(filter(X1,X2,X3)) -> #a__filter(mark(X1),mark(X2),mark(X3)) #9: #mark(filter(X1,X2,X3)) -> #mark(X1) #10: #mark(filter(X1,X2,X3)) -> #mark(X2) #11: #mark(filter(X1,X2,X3)) -> #mark(X3) #12: #mark(zprimes()) -> #a__zprimes() #13: #a__nats(N) -> #mark(N) #14: #mark(sieve(X)) -> #a__sieve(mark(X)) #15: #mark(sieve(X)) -> #mark(X) #16: #a__sieve(cons(s(N),Y)) -> #mark(N) Number of SCCs: 1, DPs: 16 SCC { #1..16 } POLO(Sum)... succeeded. zprimes w: 23681 s w: x1 + 1 a__zprimes w: 23681 a__nats w: x1 + 2 #a__filter w: x1 + x3 + 1 a__sieve w: x1 + 1 #a__zprimes w: 23681 #mark w: x1 + 1 0 w: 23676 #a__nats w: x1 + 2 mark w: x1 sieve w: x1 + 1 nats w: x1 + 2 cons w: x1 + 1 filter w: x1 + x2 + x3 + 4 #a__sieve w: x1 a__filter w: x1 + x2 + x3 + 4 USABLE RULES: { 1..17 } Removed DPs: #1..16 Number of SCCs: 0, DPs: 0
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