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TRS Standard pair #487070761
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds-noand_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
1.37821 seconds
cpu usage
1.3
user time
1.28
system time
0.02
max virtual memory
331828.0
max residence set size
7004.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: zeros() -> cons(0(),n__zeros()) 2: U11(tt()) -> tt() 3: U21(tt()) -> tt() 4: U31(tt()) -> tt() 5: U41(tt(),V2) -> U42(isNatIList(activate(V2))) 6: U42(tt()) -> tt() 7: U51(tt(),V2) -> U52(isNatList(activate(V2))) 8: U52(tt()) -> tt() 9: U61(tt(),L,N) -> U62(isNat(activate(N)),activate(L)) 10: U62(tt(),L) -> s(length(activate(L))) 11: isNat(n__0()) -> tt() 12: isNat(n__length(V1)) -> U11(isNatList(activate(V1))) 13: isNat(n__s(V1)) -> U21(isNat(activate(V1))) 14: isNatIList(V) -> U31(isNatList(activate(V))) 15: isNatIList(n__zeros()) -> tt() 16: isNatIList(n__cons(V1,V2)) -> U41(isNat(activate(V1)),activate(V2)) 17: isNatList(n__nil()) -> tt() 18: isNatList(n__cons(V1,V2)) -> U51(isNat(activate(V1)),activate(V2)) 19: length(nil()) -> 0() 20: length(cons(N,L)) -> U61(isNatList(activate(L)),activate(L),N) 21: zeros() -> n__zeros() 22: 0() -> n__0() 23: length(X) -> n__length(X) 24: s(X) -> n__s(X) 25: cons(X1,X2) -> n__cons(X1,X2) 26: nil() -> n__nil() 27: activate(n__zeros()) -> zeros() 28: activate(n__0()) -> 0() 29: activate(n__length(X)) -> length(X) 30: activate(n__s(X)) -> s(X) 31: activate(n__cons(X1,X2)) -> cons(X1,X2) 32: activate(n__nil()) -> nil() 33: activate(X) -> X Number of strict rules: 33 Direct POLO(bPol) ... removes: 4 15 19 17 14 12 2 U21 w: x1 isNatList w: x1 + 2 U11 w: x1 + 11453 s w: x1 U42 w: x1 activate w: x1 n__zeros w: 0 isNatIList w: x1 + 20853 zeros w: 0 n__nil w: 1911 n__s w: x1 0 w: 0 n__cons w: 2 * x1 + 2 * x2 nil w: 1911 U62 w: x1 + x2 + 11452 n__0 w: 0 n__length w: x1 + 11454 isNat w: x1 + 2 U52 w: x1 U61 w: x1 + x2 + 2 * x3 + 11452 U31 w: x1 + 1 cons w: 2 * x1 + 2 * x2 tt w: 2 U51 w: x1 + x2 length w: x1 + 11454 U41 w: x1 + x2 + 20851 Number of strict rules: 26 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #activate(n__length(X)) -> #length(X) #2: #isNat(n__s(V1)) -> #U21(isNat(activate(V1))) #3: #isNat(n__s(V1)) -> #isNat(activate(V1)) #4: #isNat(n__s(V1)) -> #activate(V1) #5: #U61(tt(),L,N) -> #U62(isNat(activate(N)),activate(L)) #6: #U61(tt(),L,N) -> #isNat(activate(N)) #7: #U61(tt(),L,N) -> #activate(N) #8: #U61(tt(),L,N) -> #activate(L) #9: #activate(n__cons(X1,X2)) -> #cons(X1,X2) #10: #activate(n__s(X)) -> #s(X) #11: #length(cons(N,L)) -> #U61(isNatList(activate(L)),activate(L),N) #12: #length(cons(N,L)) -> #isNatList(activate(L)) #13: #length(cons(N,L)) -> #activate(L) #14: #length(cons(N,L)) -> #activate(L) #15: #U51(tt(),V2) -> #U52(isNatList(activate(V2))) #16: #U51(tt(),V2) -> #isNatList(activate(V2)) #17: #U51(tt(),V2) -> #activate(V2) #18: #U62(tt(),L) -> #s(length(activate(L))) #19: #U62(tt(),L) -> #length(activate(L)) #20: #U62(tt(),L) -> #activate(L) #21: #U41(tt(),V2) -> #U42(isNatIList(activate(V2))) #22: #U41(tt(),V2) -> #isNatIList(activate(V2)) #23: #U41(tt(),V2) -> #activate(V2) #24: #activate(n__0()) -> #0() #25: #activate(n__zeros()) -> #zeros() #26: #activate(n__nil()) -> #nil() #27: #isNatIList(n__cons(V1,V2)) -> #U41(isNat(activate(V1)),activate(V2)) #28: #isNatIList(n__cons(V1,V2)) -> #isNat(activate(V1)) #29: #isNatIList(n__cons(V1,V2)) -> #activate(V1) #30: #isNatIList(n__cons(V1,V2)) -> #activate(V2) #31: #zeros() -> #cons(0(),n__zeros()) #32: #zeros() -> #0() #33: #isNatList(n__cons(V1,V2)) -> #U51(isNat(activate(V1)),activate(V2))
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