Problem Transformed CSR 04 PEANO complete-noand L

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 PEANO complete-noand L

stdout:

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

                                                REWRITE relation according to the following TRS
                                                 {  U52(tt()) -> N
                                                  , U64(tt()) -> s(plus(N, M))
                                                  , U11(tt()) -> U12(isNatKind())
                                                  , U12(tt()) -> U13(isNatKind())
                                                  , U13(tt()) -> U14(isNatKind())
                                                  , U14(tt()) -> U15(isNat())
                                                  , U15(tt()) -> U16(isNat())
                                                  , U16(tt()) -> tt()
                                                  , U21(tt()) -> U22(isNatKind())
                                                  , U22(tt()) -> U23(isNat())
                                                  , U23(tt()) -> tt()
                                                  , U31(tt()) -> U32(isNatKind())
                                                  , U32(tt()) -> tt()
                                                  , U41(tt()) -> tt()
                                                  , U51(tt()) -> U52(isNatKind())
                                                  , U61(tt()) -> U62(isNatKind())
                                                  , U62(tt()) -> U63(isNat())
                                                  , U63(tt()) -> U64(isNatKind())
                                                  , isNat() -> tt()
                                                  , isNat() -> U11(isNatKind())
                                                  , isNat() -> U21(isNatKind())
                                                  , isNatKind() -> tt()
                                                  , isNatKind() -> U31(isNatKind())
                                                  , isNatKind() -> U41(isNatKind())
                                                  , plus(N, 0()) -> U51(isNat())
                                                  , plus(N, s(M)) -> U61(isNat())}

Try --help.

Tool IRC2

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 PEANO complete-noand L

stdout:

MAYBE

The following error(s) occured:

The problem does not contain well-formed TRSs:
   REWRITE relation according to the following TRS
    {  U52(tt()) -> N
     , U64(tt()) -> s(plus(N, M))
     , U11(tt()) -> U12(isNatKind())
     , U12(tt()) -> U13(isNatKind())
     , U13(tt()) -> U14(isNatKind())
     , U14(tt()) -> U15(isNat())
     , U15(tt()) -> U16(isNat())
     , U16(tt()) -> tt()
     , U21(tt()) -> U22(isNatKind())
     , U22(tt()) -> U23(isNat())
     , U23(tt()) -> tt()
     , U31(tt()) -> U32(isNatKind())
     , U32(tt()) -> tt()
     , U41(tt()) -> tt()
     , U51(tt()) -> U52(isNatKind())
     , U61(tt()) -> U62(isNatKind())
     , U62(tt()) -> U63(isNat())
     , U63(tt()) -> U64(isNatKind())
     , isNat() -> tt()
     , isNat() -> U11(isNatKind())
     , isNat() -> U21(isNatKind())
     , isNatKind() -> tt()
     , isNatKind() -> U31(isNatKind())
     , isNatKind() -> U41(isNatKind())
     , plus(N, 0()) -> U51(isNat())
     , plus(N, s(M)) -> U61(isNat())}

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 PEANO complete-noand L

stdout:

Tool RC2

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 PEANO complete-noand L