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TRS Standard pair #487069381
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds_FR.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)
19.2903 seconds
cpu usage
19.3
user time
19.2
system time
0.1
max virtual memory
371808.0
max residence set size
6720.0
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(activate(X)) 26: activate(n__s(X)) -> s(activate(X)) 27: activate(n__cons(X1,X2)) -> cons(activate(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 5 10 7 12 isNatList w: x1 U11 w: x1 + x2 + 3824 s w: x1 activate w: x1 and w: x1 + x2 n__zeros w: 0 isNatIList w: x1 + 979 zeros w: 0 n__nil w: 32530 n__s w: x1 0 w: 0 n__isNatList w: x1 n__cons w: 2 * x1 + 2 * x2 nil w: 32530 n__isNat w: x1 n__0 w: 0 n__length w: x1 + 3824 isNat w: x1 cons w: 2 * x1 + 2 * x2 n__isNatIList w: x1 + 979 tt w: 0 length w: x1 + 3824 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) #15: #isNatIList(n__cons(V1,V2)) -> #activate(V2) #16: #isNatList(n__cons(V1,V2)) -> #and(isNat(activate(V1)),n__isNatList(activate(V2))) #17: #isNatList(n__cons(V1,V2)) -> #isNat(activate(V1)) #18: #isNatList(n__cons(V1,V2)) -> #activate(V1) #19: #isNatList(n__cons(V1,V2)) -> #activate(V2) #20: #activate(n__0()) -> #0() #21: #activate(n__zeros()) -> #zeros() #22: #activate(n__isNat(X)) -> #isNat(X) #23: #activate(n__isNatList(X)) -> #isNatList(X) #24: #activate(n__length(X)) -> #length(activate(X)) #25: #activate(n__length(X)) -> #activate(X) #26: #activate(n__isNatIList(X)) -> #isNatIList(X) #27: #activate(n__cons(X1,X2)) -> #cons(activate(X1),X2) #28: #activate(n__cons(X1,X2)) -> #activate(X1) #29: #activate(n__s(X)) -> #s(activate(X)) #30: #activate(n__s(X)) -> #activate(X) #31: #and(tt(),X) -> #activate(X) #32: #zeros() -> #cons(0(),n__zeros()) #33: #zeros() -> #0() Number of SCCs: 1, DPs: 25 SCC { #2 #3 #5..19 #22..26 #28 #30 #31 } POLO(Sum)... succeeded. #0 w: 0 isNatList w: x1 + 8947
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