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TRS Standard pair #487070991
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nosorts_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.23073 seconds
cpu usage
0.04019
user time
0.018476
system time
0.021714
max virtual memory
113188.0
max residence set size
6840.0
stage attributes
key
value
starexec-result
NO
output
NO Input TRS: 1: a__zeros() -> cons(0(),zeros()) 2: a__U11(tt(),L) -> a__U12(tt(),L) 3: a__U12(tt(),L) -> s(a__length(mark(L))) 4: a__length(nil()) -> 0() 5: a__length(cons(N,L)) -> a__U11(tt(),L) 6: mark(zeros()) -> a__zeros() 7: mark(U11(X1,X2)) -> a__U11(mark(X1),X2) 8: mark(U12(X1,X2)) -> a__U12(mark(X1),X2) 9: mark(length(X)) -> a__length(mark(X)) 10: mark(cons(X1,X2)) -> cons(mark(X1),X2) 11: mark(0()) -> 0() 12: mark(tt()) -> tt() 13: mark(s(X)) -> s(mark(X)) 14: mark(nil()) -> nil() 15: a__zeros() -> zeros() 16: a__U11(X1,X2) -> U11(X1,X2) 17: a__U12(X1,X2) -> U12(X1,X2) 18: a__length(X) -> length(X) Number of strict rules: 18 Direct POLO(bPol) ... removes: 4 15 14 12 11 U11 w: x1 + x2 + 3 s w: x1 zeros w: 20977 U12 w: x1 + x2 + 3 0 w: 0 nil w: 14681 mark w: x1 + 1 a__U11 w: x1 + x2 + 3 a__U12 w: x1 + x2 + 3 cons w: x1 + x2 + 1 tt w: 1 length w: x1 + 3 a__zeros w: 20978 a__length w: x1 + 3 Number of strict rules: 13 Direct POLO(bPol) ... removes: 18 8 16 17 10 7 9 U11 w: x1 + x2 + 4685 s w: x1 zeros w: 14098 U12 w: x1 + x2 + 9368 0 w: 0 nil w: 13214 mark w: 2 * x1 + 1 a__U11 w: x1 + 2 * x2 + 9369 a__U12 w: x1 + 2 * x2 + 9369 cons w: x1 + 2 * x2 + 1 tt w: 40179 length w: x1 + 24774 a__zeros w: 28197 a__length w: x1 + 49547 Number of strict rules: 6 Direct POLO(bPol) ... failed. Uncurrying a__U12 a__U11 1: a__zeros() -> cons(0(),zeros()) 2: a__U11^1_tt(L) -> a__U12^1_tt(L) 3: a__U12^1_tt(L) -> s(a__length(mark(L))) 5: a__length(cons(N,L)) -> a__U11^1_tt(L) 6: mark(zeros()) -> a__zeros() 13: mark(s(X)) -> s(mark(X)) 19: a__U11(tt(),_1) ->= a__U11^1_tt(_1) 20: a__U12(tt(),_1) ->= a__U12^1_tt(_1) Number of strict rules: 6 Direct POLO(bPol) ... removes: 19 20 U11 w: x1 + x2 s w: 2 * x1 zeros w: 0 U12 w: x1 + x2 0 w: 0 nil w: 0 a__U12^1_tt w: 2 * x1 mark w: x1 a__U11 w: x1 + 2 * x2 + 8 a__U11^1_tt w: 2 * x1 a__U12 w: 2 * x1 + 2 * x2 + 28881 cons w: x1 + 2 * x2 tt w: 1 length w: x1 a__zeros w: 0 a__length w: x1 Number of strict rules: 6 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #a__U11^1_tt(L) -> #a__U12^1_tt(L) #2: #mark(zeros()) -> #a__zeros() #3: #mark(s(X)) -> #mark(X) #4: #a__length(cons(N,L)) -> #a__U11^1_tt(L) #5: #a__U12^1_tt(L) -> #a__length(mark(L)) #6: #a__U12^1_tt(L) -> #mark(L) Number of SCCs: 2, DPs: 4 SCC { #3 } POLO(Sum)... succeeded. U11 w: 0 s w: x1 + 1 #a__U12^1_tt w: 0 zeros w: 0 U12 w: 0 #mark w: x1 0 w: 0
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