The rewrite relation of the following TRS is considered.
and(tt) | → | X | (1) |
__(__(X,Y),Z) | → | __(X,__(Y,Z)) | (2) |
__(X,nil) | → | X | (3) |
__(nil,X) | → | X | (4) |
U11(tt) | → | U12(isNeList) | (5) |
U12(tt) | → | tt | (6) |
U21(tt) | → | U22(isList) | (7) |
U22(tt) | → | U23(isList) | (8) |
U23(tt) | → | tt | (9) |
U31(tt) | → | U32(isQid) | (10) |
U32(tt) | → | tt | (11) |
U41(tt) | → | U42(isList) | (12) |
U42(tt) | → | U43(isNeList) | (13) |
U43(tt) | → | tt | (14) |
U51(tt) | → | U52(isNeList) | (15) |
U52(tt) | → | U53(isList) | (16) |
U53(tt) | → | tt | (17) |
U61(tt) | → | U62(isQid) | (18) |
U62(tt) | → | tt | (19) |
U71(tt) | → | U72(isNePal) | (20) |
U72(tt) | → | tt | (21) |
isList | → | U11(isPalListKind) | (22) |
isList | → | tt | (23) |
isList | → | U21(and(isPalListKind)) | (24) |
isNeList | → | U31(isPalListKind) | (25) |
isNeList | → | U41(and(isPalListKind)) | (26) |
isNeList | → | U51(and(isPalListKind)) | (27) |
isNePal | → | U61(isPalListKind) | (28) |
isNePal | → | and(and(isQid)) | (29) |
isPal | → | U71(isPalListKind) | (30) |
isPal | → | tt | (31) |
isPalListKind | → | tt | (32) |
isPalListKind | → | and(isPalListKind) | (33) |
isQid | → | tt | (34) |
The TRS violates one of the two variable conditions. Thus, it is not terminating.