The rewrite relation of the following TRS is considered.
U62(tt) | → | s(length(L)) | (1) |
zeros | → | cons(0) | (2) |
U11(tt) | → | tt | (3) |
U21(tt) | → | tt | (4) |
U31(tt) | → | tt | (5) |
U41(tt) | → | U42(isNatIList) | (6) |
U42(tt) | → | tt | (7) |
U51(tt) | → | U52(isNatList) | (8) |
U52(tt) | → | tt | (9) |
U61(tt) | → | U62(isNat) | (10) |
isNat | → | tt | (11) |
isNat | → | U11(isNatList) | (12) |
isNat | → | U21(isNat) | (13) |
isNatIList | → | U31(isNatList) | (14) |
isNatIList | → | tt | (15) |
isNatIList | → | U41(isNat) | (16) |
isNatList | → | tt | (17) |
isNatList | → | U51(isNat) | (18) |
length(nil) | → | 0 | (19) |
length(cons(N)) | → | U61(isNatList) | (20) |
The TRS violates one of the two variable conditions. Thus, it is not terminating.