Problem Strategy outermost added 08 MYNAT complete-noand L

Tool IRC1

Execution TimeUnknown
Answer
MAYBE
InputStrategy outermost added 08 MYNAT complete-noand L

stdout:

MAYBE
The following error occured:
 The problem does not contain well-formed TRSs:
                                              
                                                REWRITE relation according to the following TRS
                                                 {  U104(tt()) -> plus(x(N, M), N)
                                                  , U72(tt()) -> N
                                                  , U84(tt()) -> s(plus(N, M))
                                                  , U101(tt()) -> U102(isNatKind())
                                                  , U102(tt()) -> U103(isNat())
                                                  , U103(tt()) -> U104(isNatKind())
                                                  , 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()) -> U33(isNatKind())
                                                  , U33(tt()) -> U34(isNatKind())
                                                  , U34(tt()) -> U35(isNat())
                                                  , U35(tt()) -> U36(isNat())
                                                  , U36(tt()) -> tt()
                                                  , U41(tt()) -> U42(isNatKind())
                                                  , U42(tt()) -> tt()
                                                  , U51(tt()) -> tt()
                                                  , U61(tt()) -> U62(isNatKind())
                                                  , U62(tt()) -> tt()
                                                  , U71(tt()) -> U72(isNatKind())
                                                  , U81(tt()) -> U82(isNatKind())
                                                  , U82(tt()) -> U83(isNat())
                                                  , U83(tt()) -> U84(isNatKind())
                                                  , U91(tt()) -> U92(isNatKind())
                                                  , U92(tt()) -> 0()
                                                  , isNat() -> tt()
                                                  , isNat() -> U11(isNatKind())
                                                  , isNat() -> U21(isNatKind())
                                                  , isNat() -> U31(isNatKind())
                                                  , isNatKind() -> tt()
                                                  , isNatKind() -> U41(isNatKind())
                                                  , isNatKind() -> U51(isNatKind())
                                                  , isNatKind() -> U61(isNatKind())
                                                  , plus(N, 0()) -> U71(isNat())
                                                  , plus(N, s(M)) -> U81(isNat())
                                                  , x(N, 0()) -> U91(isNat())
                                                  , x(N, s(M)) -> U101(isNat())}


Try --help.

Tool IRC2

Execution TimeUnknown
Answer
MAYBE
InputStrategy outermost added 08 MYNAT 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 and outermost reductions
    {  U104(tt()) -> plus(x(N, M), N)
     , U72(tt()) -> N
     , U84(tt()) -> s(plus(N, M))
     , U101(tt()) -> U102(isNatKind())
     , U102(tt()) -> U103(isNat())
     , U103(tt()) -> U104(isNatKind())
     , 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()) -> U33(isNatKind())
     , U33(tt()) -> U34(isNatKind())
     , U34(tt()) -> U35(isNat())
     , U35(tt()) -> U36(isNat())
     , U36(tt()) -> tt()
     , U41(tt()) -> U42(isNatKind())
     , U42(tt()) -> tt()
     , U51(tt()) -> tt()
     , U61(tt()) -> U62(isNatKind())
     , U62(tt()) -> tt()
     , U71(tt()) -> U72(isNatKind())
     , U81(tt()) -> U82(isNatKind())
     , U82(tt()) -> U83(isNat())
     , U83(tt()) -> U84(isNatKind())
     , U91(tt()) -> U92(isNatKind())
     , U92(tt()) -> 0()
     , isNat() -> tt()
     , isNat() -> U11(isNatKind())
     , isNat() -> U21(isNatKind())
     , isNat() -> U31(isNatKind())
     , isNatKind() -> tt()
     , isNatKind() -> U41(isNatKind())
     , isNatKind() -> U51(isNatKind())
     , isNatKind() -> U61(isNatKind())
     , plus(N, 0()) -> U71(isNat())
     , plus(N, s(M)) -> U81(isNat())
     , x(N, 0()) -> U91(isNat())
     , x(N, s(M)) -> U101(isNat())}

Tool RC1

Execution TimeUnknown
Answer
MAYBE
InputStrategy outermost added 08 MYNAT complete-noand L

stdout:

MAYBE
The following error occured:
 The problem does not contain well-formed TRSs:
                                              
                                                REWRITE relation according to the following TRS
                                                 {  U104(tt()) -> plus(x(N, M), N)
                                                  , U72(tt()) -> N
                                                  , U84(tt()) -> s(plus(N, M))
                                                  , U101(tt()) -> U102(isNatKind())
                                                  , U102(tt()) -> U103(isNat())
                                                  , U103(tt()) -> U104(isNatKind())
                                                  , 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()) -> U33(isNatKind())
                                                  , U33(tt()) -> U34(isNatKind())
                                                  , U34(tt()) -> U35(isNat())
                                                  , U35(tt()) -> U36(isNat())
                                                  , U36(tt()) -> tt()
                                                  , U41(tt()) -> U42(isNatKind())
                                                  , U42(tt()) -> tt()
                                                  , U51(tt()) -> tt()
                                                  , U61(tt()) -> U62(isNatKind())
                                                  , U62(tt()) -> tt()
                                                  , U71(tt()) -> U72(isNatKind())
                                                  , U81(tt()) -> U82(isNatKind())
                                                  , U82(tt()) -> U83(isNat())
                                                  , U83(tt()) -> U84(isNatKind())
                                                  , U91(tt()) -> U92(isNatKind())
                                                  , U92(tt()) -> 0()
                                                  , isNat() -> tt()
                                                  , isNat() -> U11(isNatKind())
                                                  , isNat() -> U21(isNatKind())
                                                  , isNat() -> U31(isNatKind())
                                                  , isNatKind() -> tt()
                                                  , isNatKind() -> U41(isNatKind())
                                                  , isNatKind() -> U51(isNatKind())
                                                  , isNatKind() -> U61(isNatKind())
                                                  , plus(N, 0()) -> U71(isNat())
                                                  , plus(N, s(M)) -> U81(isNat())
                                                  , x(N, 0()) -> U91(isNat())
                                                  , x(N, s(M)) -> U101(isNat())}


Try --help.

Tool RC2

Execution TimeUnknown
Answer
MAYBE
InputStrategy outermost added 08 MYNAT 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 and outermost reductions
    {  U104(tt()) -> plus(x(N, M), N)
     , U72(tt()) -> N
     , U84(tt()) -> s(plus(N, M))
     , U101(tt()) -> U102(isNatKind())
     , U102(tt()) -> U103(isNat())
     , U103(tt()) -> U104(isNatKind())
     , 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()) -> U33(isNatKind())
     , U33(tt()) -> U34(isNatKind())
     , U34(tt()) -> U35(isNat())
     , U35(tt()) -> U36(isNat())
     , U36(tt()) -> tt()
     , U41(tt()) -> U42(isNatKind())
     , U42(tt()) -> tt()
     , U51(tt()) -> tt()
     , U61(tt()) -> U62(isNatKind())
     , U62(tt()) -> tt()
     , U71(tt()) -> U72(isNatKind())
     , U81(tt()) -> U82(isNatKind())
     , U82(tt()) -> U83(isNat())
     , U83(tt()) -> U84(isNatKind())
     , U91(tt()) -> U92(isNatKind())
     , U92(tt()) -> 0()
     , isNat() -> tt()
     , isNat() -> U11(isNatKind())
     , isNat() -> U21(isNatKind())
     , isNat() -> U31(isNatKind())
     , isNatKind() -> tt()
     , isNatKind() -> U41(isNatKind())
     , isNatKind() -> U51(isNatKind())
     , isNatKind() -> U61(isNatKind())
     , plus(N, 0()) -> U71(isNat())
     , plus(N, s(M)) -> U81(isNat())
     , x(N, 0()) -> U91(isNat())
     , x(N, s(M)) -> U101(isNat())}