Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487070696
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
53.4053 seconds
cpu usage
53.37
user time
53.2
system time
0.17
max virtual memory
394084.0
max residence set size
8080.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: zeros() -> cons(0(),n__zeros()) 2: U11(tt(),L) -> s(length(activate(L))) 3: and(tt(),X) -> activate(X) 4: isNat(n__0()) -> tt() 5: isNat(n__length(V1)) -> isNatList(activate(V1)) 6: isNat(n__s(V1)) -> isNat(activate(V1)) 7: isNatIList(V) -> isNatList(activate(V)) 8: isNatIList(n__zeros()) -> tt() 9: isNatIList(n__cons(V1,V2)) -> and(isNat(activate(V1)),n__isNatIList(activate(V2))) 10: isNatList(n__nil()) -> tt() 11: isNatList(n__cons(V1,V2)) -> and(isNat(activate(V1)),n__isNatList(activate(V2))) 12: length(nil()) -> 0() 13: length(cons(N,L)) -> U11(and(isNatList(activate(L)),n__isNat(N)),activate(L)) 14: zeros() -> n__zeros() 15: 0() -> n__0() 16: length(X) -> n__length(X) 17: s(X) -> n__s(X) 18: cons(X1,X2) -> n__cons(X1,X2) 19: isNatIList(X) -> n__isNatIList(X) 20: nil() -> n__nil() 21: isNatList(X) -> n__isNatList(X) 22: isNat(X) -> n__isNat(X) 23: activate(n__zeros()) -> zeros() 24: activate(n__0()) -> 0() 25: activate(n__length(X)) -> length(X) 26: activate(n__s(X)) -> s(X) 27: activate(n__cons(X1,X2)) -> cons(X1,X2) 28: activate(n__isNatIList(X)) -> isNatIList(X) 29: activate(n__nil()) -> nil() 30: activate(n__isNatList(X)) -> isNatList(X) 31: activate(n__isNat(X)) -> isNat(X) 32: activate(X) -> X Number of strict rules: 32 Direct POLO(bPol) ... removes: 8 10 7 12 isNatList w: x1 U11 w: x1 + x2 s w: x1 activate w: x1 and w: x1 + x2 n__zeros w: 0 isNatIList w: x1 + 2 zeros w: 0 n__nil w: 7579 n__s w: x1 0 w: 0 n__isNatList w: x1 n__cons w: x1 + 2 * x2 nil w: 7579 n__isNat w: x1 n__0 w: 0 n__length w: x1 isNat w: x1 cons w: x1 + 2 * x2 n__isNatIList w: x1 + 2 tt w: 0 length w: x1 Number of strict rules: 28 Direct POLO(bPol) ... removes: 5 isNatList w: x1 U11 w: x1 + x2 + 23641 s w: x1 activate w: x1 and w: x1 + x2 n__zeros w: 0 isNatIList w: x1 + 14264 zeros w: 0 n__nil w: 8641 n__s w: x1 0 w: 0 n__isNatList w: x1 n__cons w: x1 + 2 * x2 nil w: 8641 n__isNat w: x1 n__0 w: 0 n__length w: x1 + 23641 isNat w: x1 cons w: x1 + 2 * x2 n__isNatIList w: x1 + 14264 tt w: 0 length w: x1 + 23641 Number of strict rules: 27 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #U11(tt(),L) -> #s(length(activate(L))) #2: #U11(tt(),L) -> #length(activate(L)) #3: #U11(tt(),L) -> #activate(L) #4: #activate(n__nil()) -> #nil() #5: #isNat(n__s(V1)) -> #isNat(activate(V1)) #6: #isNat(n__s(V1)) -> #activate(V1) #7: #length(cons(N,L)) -> #U11(and(isNatList(activate(L)),n__isNat(N)),activate(L)) #8: #length(cons(N,L)) -> #and(isNatList(activate(L)),n__isNat(N)) #9: #length(cons(N,L)) -> #isNatList(activate(L)) #10: #length(cons(N,L)) -> #activate(L) #11: #length(cons(N,L)) -> #activate(L) #12: #isNatIList(n__cons(V1,V2)) -> #and(isNat(activate(V1)),n__isNatIList(activate(V2))) #13: #isNatIList(n__cons(V1,V2)) -> #isNat(activate(V1)) #14: #isNatIList(n__cons(V1,V2)) -> #activate(V1)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard