The rewrite relation of the following TRS is considered.
U72(tt) | → | s(length(L)) | (1) |
U93(tt) | → | cons(N) | (2) |
zeros | → | cons(0) | (3) |
U11(tt) | → | tt | (4) |
U21(tt) | → | tt | (5) |
U31(tt) | → | tt | (6) |
U41(tt) | → | U42(isNatIList) | (7) |
U42(tt) | → | tt | (8) |
U51(tt) | → | U52(isNatList) | (9) |
U52(tt) | → | tt | (10) |
U61(tt) | → | U62(isNatIList) | (11) |
U62(tt) | → | tt | (12) |
U71(tt) | → | U72(isNat) | (13) |
U81(tt) | → | nil | (14) |
U91(tt) | → | U92(isNat) | (15) |
U92(tt) | → | U93(isNat) | (16) |
isNat | → | tt | (17) |
isNat | → | U11(isNatList) | (18) |
isNat | → | U21(isNat) | (19) |
isNatIList | → | U31(isNatList) | (20) |
isNatIList | → | tt | (21) |
isNatIList | → | U41(isNat) | (22) |
isNatList | → | tt | (23) |
isNatList | → | U51(isNat) | (24) |
isNatList | → | U61(isNat) | (25) |
length(nil) | → | 0 | (26) |
length(cons(N)) | → | U71(isNatList) | (27) |
take(0,IL) | → | U81(isNatIList) | (28) |
take(s(M),cons(N)) | → | U91(isNatIList) | (29) |
The TRS violates one of the two variable conditions. Thus, it is not terminating.