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TRS Standard pair #487070311
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nosorts_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.130953 seconds
cpu usage
0.031246
user time
0.011931
system time
0.019315
max virtual memory
113188.0
max residence set size
6132.0
stage attributes
key
value
starexec-result
NO
output
NO Input TRS: 1: a__zeros() -> cons(0(),zeros()) 2: a__and(tt(),X) -> mark(X) 3: a__length(nil()) -> 0() 4: a__length(cons(N,L)) -> s(a__length(mark(L))) 5: mark(zeros()) -> a__zeros() 6: mark(and(X1,X2)) -> a__and(mark(X1),X2) 7: mark(length(X)) -> a__length(mark(X)) 8: mark(cons(X1,X2)) -> cons(mark(X1),X2) 9: mark(0()) -> 0() 10: mark(tt()) -> tt() 11: mark(nil()) -> nil() 12: mark(s(X)) -> s(mark(X)) 13: a__zeros() -> zeros() 14: a__and(X1,X2) -> and(X1,X2) 15: a__length(X) -> length(X) Number of strict rules: 15 Direct POLO(bPol) ... removes: 3 10 11 9 13 2 s w: x1 and w: x1 + 2 * x2 + 2 zeros w: 1 0 w: 0 nil w: 1 mark w: x1 + 5854 cons w: x1 + x2 + 5854 tt w: 5855 a__and w: x1 + 2 * x2 + 2 length w: x1 + 28103 a__zeros w: 5855 a__length w: x1 + 28103 Number of strict rules: 9 Direct POLO(bPol) ... removes: 15 8 7 14 6 s w: x1 and w: x1 + 2 * x2 + 20978 zeros w: 2998 0 w: 0 nil w: 14681 mark w: 2 * x1 + 1 cons w: x1 + 2 * x2 + 1 tt w: 5855 a__and w: x1 + 2 * x2 + 20979 length w: x1 + 28103 a__zeros w: 5997 a__length w: x1 + 29920 Number of strict rules: 4 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #mark(s(X)) -> #mark(X) #2: #mark(zeros()) -> #a__zeros() #3: #a__length(cons(N,L)) -> #a__length(mark(L)) #4: #a__length(cons(N,L)) -> #mark(L) Number of SCCs: 2, DPs: 2 SCC { #1 } POLO(Sum)... succeeded. s w: x1 + 1 and w: 0 zeros w: 0 #mark w: x1 0 w: 0 #a__zeros w: 0 nil w: 0 mark w: 0 #a__length w: 0 cons w: 0 tt w: 0 a__and w: 0 length w: 0 a__zeros w: 0 a__length w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 1 SCC { #3 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... found. #a__length(cons(N,zeros())) -#3-> #a__length(mark(zeros())) --->* #a__length(cons(0(),zeros())) Looping with: [ N := 0(); ]
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