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TRS Standard pair #487071871
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.967014 seconds
cpu usage
0.87
user time
0.85
system time
0.02
max virtual memory
164256.0
max residence set size
6832.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: a__zeros() -> cons(0(),zeros()) 2: a__U11(tt()) -> tt() 3: a__U21(tt()) -> tt() 4: a__U31(tt()) -> tt() 5: a__U41(tt(),V2) -> a__U42(a__isNatIList(V2)) 6: a__U42(tt()) -> tt() 7: a__U51(tt(),V2) -> a__U52(a__isNatList(V2)) 8: a__U52(tt()) -> tt() 9: a__U61(tt(),L,N) -> a__U62(a__isNat(N),L) 10: a__U62(tt(),L) -> s(a__length(mark(L))) 11: a__isNat(0()) -> tt() 12: a__isNat(length(V1)) -> a__U11(a__isNatList(V1)) 13: a__isNat(s(V1)) -> a__U21(a__isNat(V1)) 14: a__isNatIList(V) -> a__U31(a__isNatList(V)) 15: a__isNatIList(zeros()) -> tt() 16: a__isNatIList(cons(V1,V2)) -> a__U41(a__isNat(V1),V2) 17: a__isNatList(nil()) -> tt() 18: a__isNatList(cons(V1,V2)) -> a__U51(a__isNat(V1),V2) 19: a__length(nil()) -> 0() 20: a__length(cons(N,L)) -> a__U61(a__isNatList(L),L,N) 21: mark(zeros()) -> a__zeros() 22: mark(U11(X)) -> a__U11(mark(X)) 23: mark(U21(X)) -> a__U21(mark(X)) 24: mark(U31(X)) -> a__U31(mark(X)) 25: mark(U41(X1,X2)) -> a__U41(mark(X1),X2) 26: mark(U42(X)) -> a__U42(mark(X)) 27: mark(isNatIList(X)) -> a__isNatIList(X) 28: mark(U51(X1,X2)) -> a__U51(mark(X1),X2) 29: mark(U52(X)) -> a__U52(mark(X)) 30: mark(isNatList(X)) -> a__isNatList(X) 31: mark(U61(X1,X2,X3)) -> a__U61(mark(X1),X2,X3) 32: mark(U62(X1,X2)) -> a__U62(mark(X1),X2) 33: mark(isNat(X)) -> a__isNat(X) 34: mark(length(X)) -> a__length(mark(X)) 35: mark(cons(X1,X2)) -> cons(mark(X1),X2) 36: mark(0()) -> 0() 37: mark(tt()) -> tt() 38: mark(s(X)) -> s(mark(X)) 39: mark(nil()) -> nil() 40: a__zeros() -> zeros() 41: a__U11(X) -> U11(X) 42: a__U21(X) -> U21(X) 43: a__U31(X) -> U31(X) 44: a__U41(X1,X2) -> U41(X1,X2) 45: a__U42(X) -> U42(X) 46: a__isNatIList(X) -> isNatIList(X) 47: a__U51(X1,X2) -> U51(X1,X2) 48: a__U52(X) -> U52(X) 49: a__isNatList(X) -> isNatList(X) 50: a__U61(X1,X2,X3) -> U61(X1,X2,X3) 51: a__U62(X1,X2) -> U62(X1,X2) 52: a__isNat(X) -> isNat(X) 53: a__length(X) -> length(X) Number of strict rules: 53 Direct POLO(bPol) ... removes: 4 15 19 17 14 12 2 U21 w: x1 isNatList w: x1 + 22115 U11 w: 2 * x1 + 26929 s w: x1 a__isNatIList w: x1 + 43769 U42 w: x1 a__U62 w: x1 + 2 * x2 + 14137 isNatIList w: x1 + 43769 zeros w: 0 a__U31 w: x1 + 1 a__U51 w: x1 + 2 * x2 a__isNatList w: x1 + 22115 a__U41 w: x1 + x2 + 21654 0 w: 0 a__U21 w: x1 nil w: 1105 U62 w: x1 + 2 * x2 + 14137 mark w: x1 a__U11 w: 2 * x1 + 26929 a__U42 w: x1 a__U52 w: x1 isNat w: 2 * x1 + 22115 U52 w: x1 U61 w: x1 + 2 * x2 + 2 * x3 + 14137 U31 w: x1 + 1 cons w: 2 * x1 + 2 * x2 a__U61 w: x1 + 2 * x2 + 2 * x3 + 14137 tt w: 22115 a__isNat w: 2 * x1 + 22115 U51 w: x1 + 2 * x2 length w: 2 * x1 + 36252 U41 w: x1 + x2 + 21654 a__zeros w: 0 a__length w: 2 * x1 + 36252 Number of strict rules: 46 Direct POLO(bPol) ... removes: 18 1 16 21 36 27 33 10 39 7 20 49 52 30 9 40 37 46 U21 w: x1 isNatList w: x1 + 1 U11 w: x1 + 1 s w: x1 a__isNatIList w: 2 * x1 + 13199 U42 w: x1 a__U62 w: x1 + x2 + 9088
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