Problem Strategy outermost added 08 PEANO complete L

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Strategy outermost added 08 PEANO complete L

stdout:

MAYBE
The following error occured:
The problem does not contain well-formed TRSs:

                                                REWRITE relation according to the following TRS
                                                 {  U31(tt()) -> N
                                                  , U41(tt()) -> s(plus(N, M))
                                                  , and(tt()) -> X
                                                  , U11(tt()) -> U12(isNat())
                                                  , U12(tt()) -> U13(isNat())
                                                  , U13(tt()) -> tt()
                                                  , U21(tt()) -> U22(isNat())
                                                  , U22(tt()) -> tt()
                                                  , isNat() -> tt()
                                                  , isNat() -> U11(and(isNatKind()))
                                                  , isNat() -> U21(isNatKind())
                                                  , isNatKind() -> tt()
                                                  , isNatKind() -> and(isNatKind())
                                                  , isNatKind() -> isNatKind()
                                                  , plus(N, 0()) -> U31(and(isNat()))
                                                  , plus(N, s(M)) -> U41(and(and(isNat())))}

Try --help.

Tool IRC2

Execution Time	Unknown
Answer	MAYBE
Input	Strategy outermost added 08 PEANO complete L

stdout:

MAYBE

The following error(s) occured:

The problem does not contain well-formed TRSs:
   REWRITE relation according to the following TRS and outermost reductions
    {  U31(tt()) -> N
     , U41(tt()) -> s(plus(N, M))
     , and(tt()) -> X
     , U11(tt()) -> U12(isNat())
     , U12(tt()) -> U13(isNat())
     , U13(tt()) -> tt()
     , U21(tt()) -> U22(isNat())
     , U22(tt()) -> tt()
     , isNat() -> tt()
     , isNat() -> U11(and(isNatKind()))
     , isNat() -> U21(isNatKind())
     , isNatKind() -> tt()
     , isNatKind() -> and(isNatKind())
     , isNatKind() -> isNatKind()
     , plus(N, 0()) -> U31(and(isNat()))
     , plus(N, s(M)) -> U41(and(and(isNat())))}

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Strategy outermost added 08 PEANO complete L

stdout:

Tool RC2

Execution Time	Unknown
Answer	MAYBE
Input	Strategy outermost added 08 PEANO complete L