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TRS Standard pair #487070936
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds_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)
0.217297 seconds
cpu usage
0.030265
user time
0.018796
system time
0.011469
max virtual memory
113188.0
max residence set size
6276.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: a__zeros() -> cons(0(),zeros()) 2: a__U11(tt(),L) -> s(a__length(mark(L))) 3: a__and(tt(),X) -> mark(X) 4: a__isNat(0()) -> tt() 5: a__isNat(length(V1)) -> a__isNatList(V1) 6: a__isNat(s(V1)) -> a__isNat(V1) 7: a__isNatIList(V) -> a__isNatList(V) 8: a__isNatIList(zeros()) -> tt() 9: a__isNatIList(cons(V1,V2)) -> a__and(a__isNat(V1),isNatIList(V2)) 10: a__isNatList(nil()) -> tt() 11: a__isNatList(cons(V1,V2)) -> a__and(a__isNat(V1),isNatList(V2)) 12: a__length(nil()) -> 0() 13: a__length(cons(N,L)) -> a__U11(a__and(a__isNatList(L),isNat(N)),L) 14: mark(zeros()) -> a__zeros() 15: mark(U11(X1,X2)) -> a__U11(mark(X1),X2) 16: mark(length(X)) -> a__length(mark(X)) 17: mark(and(X1,X2)) -> a__and(mark(X1),X2) 18: mark(isNat(X)) -> a__isNat(X) 19: mark(isNatList(X)) -> a__isNatList(X) 20: mark(isNatIList(X)) -> a__isNatIList(X) 21: mark(cons(X1,X2)) -> cons(mark(X1),X2) 22: mark(0()) -> 0() 23: mark(tt()) -> tt() 24: mark(s(X)) -> s(mark(X)) 25: mark(nil()) -> nil() 26: a__zeros() -> zeros() 27: a__U11(X1,X2) -> U11(X1,X2) 28: a__length(X) -> length(X) 29: a__and(X1,X2) -> and(X1,X2) 30: a__isNat(X) -> isNat(X) 31: a__isNatList(X) -> isNatList(X) 32: a__isNatIList(X) -> isNatIList(X) Number of strict rules: 32 Direct POLO(bPol) ... removes: 18 4 8 3 26 19 32 22 5 10 7 20 25 30 14 31 12 23 11 9 13 6 2 isNatList w: x1 + 1 U11 w: x1 + x2 + 1 s w: x1 + 1 a__isNatIList w: 2 * x1 + 23521 and w: x1 + x2 + 1 isNatIList w: 2 * x1 + 9 zeros w: 1 a__isNatList w: x1 + 23512 0 w: 3 nil w: 11 mark w: x1 + 23520 a__U11 w: x1 + x2 + 1 isNat w: x1 + 1 cons w: x1 + 2 * x2 + 23515 tt w: 23522 a__isNat w: x1 + 23520 a__and w: x1 + x2 + 1 length w: x1 + 1 a__zeros w: 23520 a__length w: x1 + 1 Number of strict rules: 9 Direct POLO(bPol) ... removes: 1 isNatList w: x1 + 1 U11 w: x1 + x2 + 38450 s w: x1 + 1 a__isNatIList w: 2 * x1 + 7 and w: x1 + x2 + 1 isNatIList w: 2 * x1 + 1 zeros w: 1 a__isNatList w: x1 + 3 0 w: 1 nil w: 6 mark w: x1 + 10 a__U11 w: x1 + x2 + 38450 isNat w: x1 + 1 cons w: x1 + 2 * x2 + 7 tt w: 9 a__isNat w: x1 + 8 a__and w: x1 + x2 + 1 length w: x1 + 38448 a__zeros w: 11 a__length w: x1 + 38448 Number of strict rules: 8 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #mark(s(X)) -> #mark(X) #2: #mark(and(X1,X2)) -> #a__and(mark(X1),X2) #3: #mark(and(X1,X2)) -> #mark(X1) #4: #mark(cons(X1,X2)) -> #mark(X1) #5: #mark(length(X)) -> #a__length(mark(X)) #6: #mark(length(X)) -> #mark(X) #7: #mark(U11(X1,X2)) -> #a__U11(mark(X1),X2) #8: #mark(U11(X1,X2)) -> #mark(X1) Number of SCCs: 1, DPs: 5 SCC { #1 #3 #4 #6 #8 } POLO(Sum)... succeeded. isNatList w: 0 U11 w: x1 + 1 s w: x1 + 1 a__isNatIList w: 0 and w: x1 + 1 isNatIList w: 0 #a__U11 w: 0
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