Problem Strategy outermost added 08 OvConsOS complete-noand L

Tool IRC1

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

stdout:

MAYBE
The following error occured:
 The problem does not contain well-formed TRSs:
                                              
                                                REWRITE relation according to the following TRS
                                                 {  U114(tt()) -> s(length(L))
                                                  , U136(tt()) -> cons(N)
                                                  , zeros() -> cons(0())
                                                  , U101(tt()) -> U102(isNatKind())
                                                  , U102(tt()) -> U103(isNatIListKind())
                                                  , U103(tt()) -> U104(isNatIListKind())
                                                  , U104(tt()) -> U105(isNat())
                                                  , U105(tt()) -> U106(isNatIList())
                                                  , U106(tt()) -> tt()
                                                  , U11(tt()) -> U12(isNatIListKind())
                                                  , U111(tt()) -> U112(isNatIListKind())
                                                  , U112(tt()) -> U113(isNat())
                                                  , U113(tt()) -> U114(isNatKind())
                                                  , U12(tt()) -> U13(isNatList())
                                                  , U121(tt()) -> U122(isNatIListKind())
                                                  , U122(tt()) -> nil()
                                                  , U13(tt()) -> tt()
                                                  , U131(tt()) -> U132(isNatIListKind())
                                                  , U132(tt()) -> U133(isNat())
                                                  , U133(tt()) -> U134(isNatKind())
                                                  , U134(tt()) -> U135(isNat())
                                                  , U135(tt()) -> U136(isNatKind())
                                                  , U21(tt()) -> U22(isNatKind())
                                                  , U22(tt()) -> U23(isNat())
                                                  , U23(tt()) -> tt()
                                                  , U31(tt()) -> U32(isNatIListKind())
                                                  , U32(tt()) -> U33(isNatList())
                                                  , U33(tt()) -> tt()
                                                  , U41(tt()) -> U42(isNatKind())
                                                  , U42(tt()) -> U43(isNatIListKind())
                                                  , U43(tt()) -> U44(isNatIListKind())
                                                  , U44(tt()) -> U45(isNat())
                                                  , U45(tt()) -> U46(isNatIList())
                                                  , U46(tt()) -> tt()
                                                  , U51(tt()) -> U52(isNatIListKind())
                                                  , U52(tt()) -> tt()
                                                  , U61(tt()) -> U62(isNatIListKind())
                                                  , U62(tt()) -> tt()
                                                  , U71(tt()) -> tt()
                                                  , U81(tt()) -> tt()
                                                  , U91(tt()) -> U92(isNatKind())
                                                  , U92(tt()) -> U93(isNatIListKind())
                                                  , U93(tt()) -> U94(isNatIListKind())
                                                  , U94(tt()) -> U95(isNat())
                                                  , U95(tt()) -> U96(isNatList())
                                                  , U96(tt()) -> tt()
                                                  , isNat() -> tt()
                                                  , isNat() -> U11(isNatIListKind())
                                                  , isNat() -> U21(isNatKind())
                                                  , isNatIList() -> U31(isNatIListKind())
                                                  , isNatIList() -> tt()
                                                  , isNatIList() -> U41(isNatKind())
                                                  , isNatIListKind() -> tt()
                                                  , isNatIListKind() -> U51(isNatKind())
                                                  , isNatIListKind() -> U61(isNatKind())
                                                  , isNatKind() -> tt()
                                                  , isNatKind() -> U71(isNatIListKind())
                                                  , isNatKind() -> U81(isNatKind())
                                                  , isNatList() -> tt()
                                                  , isNatList() -> U91(isNatKind())
                                                  , isNatList() -> U101(isNatKind())
                                                  , length(nil()) -> 0()
                                                  , length(cons(N)) -> U111(isNatList())
                                                  , take(0(), IL) -> U121(isNatIList())
                                                  , take(s(M), cons(N)) -> U131(isNatIList())}


Try --help.

Tool IRC2

Execution TimeUnknown
Answer
MAYBE
InputStrategy outermost added 08 OvConsOS 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
    {  U114(tt()) -> s(length(L))
     , U136(tt()) -> cons(N)
     , zeros() -> cons(0())
     , U101(tt()) -> U102(isNatKind())
     , U102(tt()) -> U103(isNatIListKind())
     , U103(tt()) -> U104(isNatIListKind())
     , U104(tt()) -> U105(isNat())
     , U105(tt()) -> U106(isNatIList())
     , U106(tt()) -> tt()
     , U11(tt()) -> U12(isNatIListKind())
     , U111(tt()) -> U112(isNatIListKind())
     , U112(tt()) -> U113(isNat())
     , U113(tt()) -> U114(isNatKind())
     , U12(tt()) -> U13(isNatList())
     , U121(tt()) -> U122(isNatIListKind())
     , U122(tt()) -> nil()
     , U13(tt()) -> tt()
     , U131(tt()) -> U132(isNatIListKind())
     , U132(tt()) -> U133(isNat())
     , U133(tt()) -> U134(isNatKind())
     , U134(tt()) -> U135(isNat())
     , U135(tt()) -> U136(isNatKind())
     , U21(tt()) -> U22(isNatKind())
     , U22(tt()) -> U23(isNat())
     , U23(tt()) -> tt()
     , U31(tt()) -> U32(isNatIListKind())
     , U32(tt()) -> U33(isNatList())
     , U33(tt()) -> tt()
     , U41(tt()) -> U42(isNatKind())
     , U42(tt()) -> U43(isNatIListKind())
     , U43(tt()) -> U44(isNatIListKind())
     , U44(tt()) -> U45(isNat())
     , U45(tt()) -> U46(isNatIList())
     , U46(tt()) -> tt()
     , U51(tt()) -> U52(isNatIListKind())
     , U52(tt()) -> tt()
     , U61(tt()) -> U62(isNatIListKind())
     , U62(tt()) -> tt()
     , U71(tt()) -> tt()
     , U81(tt()) -> tt()
     , U91(tt()) -> U92(isNatKind())
     , U92(tt()) -> U93(isNatIListKind())
     , U93(tt()) -> U94(isNatIListKind())
     , U94(tt()) -> U95(isNat())
     , U95(tt()) -> U96(isNatList())
     , U96(tt()) -> tt()
     , isNat() -> tt()
     , isNat() -> U11(isNatIListKind())
     , isNat() -> U21(isNatKind())
     , isNatIList() -> U31(isNatIListKind())
     , isNatIList() -> tt()
     , isNatIList() -> U41(isNatKind())
     , isNatIListKind() -> tt()
     , isNatIListKind() -> U51(isNatKind())
     , isNatIListKind() -> U61(isNatKind())
     , isNatKind() -> tt()
     , isNatKind() -> U71(isNatIListKind())
     , isNatKind() -> U81(isNatKind())
     , isNatList() -> tt()
     , isNatList() -> U91(isNatKind())
     , isNatList() -> U101(isNatKind())
     , length(nil()) -> 0()
     , length(cons(N)) -> U111(isNatList())
     , take(0(), IL) -> U121(isNatIList())
     , take(s(M), cons(N)) -> U131(isNatIList())}

Tool RC1

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

stdout:

MAYBE
The following error occured:
 The problem does not contain well-formed TRSs:
                                              
                                                REWRITE relation according to the following TRS
                                                 {  U114(tt()) -> s(length(L))
                                                  , U136(tt()) -> cons(N)
                                                  , zeros() -> cons(0())
                                                  , U101(tt()) -> U102(isNatKind())
                                                  , U102(tt()) -> U103(isNatIListKind())
                                                  , U103(tt()) -> U104(isNatIListKind())
                                                  , U104(tt()) -> U105(isNat())
                                                  , U105(tt()) -> U106(isNatIList())
                                                  , U106(tt()) -> tt()
                                                  , U11(tt()) -> U12(isNatIListKind())
                                                  , U111(tt()) -> U112(isNatIListKind())
                                                  , U112(tt()) -> U113(isNat())
                                                  , U113(tt()) -> U114(isNatKind())
                                                  , U12(tt()) -> U13(isNatList())
                                                  , U121(tt()) -> U122(isNatIListKind())
                                                  , U122(tt()) -> nil()
                                                  , U13(tt()) -> tt()
                                                  , U131(tt()) -> U132(isNatIListKind())
                                                  , U132(tt()) -> U133(isNat())
                                                  , U133(tt()) -> U134(isNatKind())
                                                  , U134(tt()) -> U135(isNat())
                                                  , U135(tt()) -> U136(isNatKind())
                                                  , U21(tt()) -> U22(isNatKind())
                                                  , U22(tt()) -> U23(isNat())
                                                  , U23(tt()) -> tt()
                                                  , U31(tt()) -> U32(isNatIListKind())
                                                  , U32(tt()) -> U33(isNatList())
                                                  , U33(tt()) -> tt()
                                                  , U41(tt()) -> U42(isNatKind())
                                                  , U42(tt()) -> U43(isNatIListKind())
                                                  , U43(tt()) -> U44(isNatIListKind())
                                                  , U44(tt()) -> U45(isNat())
                                                  , U45(tt()) -> U46(isNatIList())
                                                  , U46(tt()) -> tt()
                                                  , U51(tt()) -> U52(isNatIListKind())
                                                  , U52(tt()) -> tt()
                                                  , U61(tt()) -> U62(isNatIListKind())
                                                  , U62(tt()) -> tt()
                                                  , U71(tt()) -> tt()
                                                  , U81(tt()) -> tt()
                                                  , U91(tt()) -> U92(isNatKind())
                                                  , U92(tt()) -> U93(isNatIListKind())
                                                  , U93(tt()) -> U94(isNatIListKind())
                                                  , U94(tt()) -> U95(isNat())
                                                  , U95(tt()) -> U96(isNatList())
                                                  , U96(tt()) -> tt()
                                                  , isNat() -> tt()
                                                  , isNat() -> U11(isNatIListKind())
                                                  , isNat() -> U21(isNatKind())
                                                  , isNatIList() -> U31(isNatIListKind())
                                                  , isNatIList() -> tt()
                                                  , isNatIList() -> U41(isNatKind())
                                                  , isNatIListKind() -> tt()
                                                  , isNatIListKind() -> U51(isNatKind())
                                                  , isNatIListKind() -> U61(isNatKind())
                                                  , isNatKind() -> tt()
                                                  , isNatKind() -> U71(isNatIListKind())
                                                  , isNatKind() -> U81(isNatKind())
                                                  , isNatList() -> tt()
                                                  , isNatList() -> U91(isNatKind())
                                                  , isNatList() -> U101(isNatKind())
                                                  , length(nil()) -> 0()
                                                  , length(cons(N)) -> U111(isNatList())
                                                  , take(0(), IL) -> U121(isNatIList())
                                                  , take(s(M), cons(N)) -> U131(isNatIList())}


Try --help.

Tool RC2

Execution TimeUnknown
Answer
MAYBE
InputStrategy outermost added 08 OvConsOS 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
    {  U114(tt()) -> s(length(L))
     , U136(tt()) -> cons(N)
     , zeros() -> cons(0())
     , U101(tt()) -> U102(isNatKind())
     , U102(tt()) -> U103(isNatIListKind())
     , U103(tt()) -> U104(isNatIListKind())
     , U104(tt()) -> U105(isNat())
     , U105(tt()) -> U106(isNatIList())
     , U106(tt()) -> tt()
     , U11(tt()) -> U12(isNatIListKind())
     , U111(tt()) -> U112(isNatIListKind())
     , U112(tt()) -> U113(isNat())
     , U113(tt()) -> U114(isNatKind())
     , U12(tt()) -> U13(isNatList())
     , U121(tt()) -> U122(isNatIListKind())
     , U122(tt()) -> nil()
     , U13(tt()) -> tt()
     , U131(tt()) -> U132(isNatIListKind())
     , U132(tt()) -> U133(isNat())
     , U133(tt()) -> U134(isNatKind())
     , U134(tt()) -> U135(isNat())
     , U135(tt()) -> U136(isNatKind())
     , U21(tt()) -> U22(isNatKind())
     , U22(tt()) -> U23(isNat())
     , U23(tt()) -> tt()
     , U31(tt()) -> U32(isNatIListKind())
     , U32(tt()) -> U33(isNatList())
     , U33(tt()) -> tt()
     , U41(tt()) -> U42(isNatKind())
     , U42(tt()) -> U43(isNatIListKind())
     , U43(tt()) -> U44(isNatIListKind())
     , U44(tt()) -> U45(isNat())
     , U45(tt()) -> U46(isNatIList())
     , U46(tt()) -> tt()
     , U51(tt()) -> U52(isNatIListKind())
     , U52(tt()) -> tt()
     , U61(tt()) -> U62(isNatIListKind())
     , U62(tt()) -> tt()
     , U71(tt()) -> tt()
     , U81(tt()) -> tt()
     , U91(tt()) -> U92(isNatKind())
     , U92(tt()) -> U93(isNatIListKind())
     , U93(tt()) -> U94(isNatIListKind())
     , U94(tt()) -> U95(isNat())
     , U95(tt()) -> U96(isNatList())
     , U96(tt()) -> tt()
     , isNat() -> tt()
     , isNat() -> U11(isNatIListKind())
     , isNat() -> U21(isNatKind())
     , isNatIList() -> U31(isNatIListKind())
     , isNatIList() -> tt()
     , isNatIList() -> U41(isNatKind())
     , isNatIListKind() -> tt()
     , isNatIListKind() -> U51(isNatKind())
     , isNatIListKind() -> U61(isNatKind())
     , isNatKind() -> tt()
     , isNatKind() -> U71(isNatIListKind())
     , isNatKind() -> U81(isNatKind())
     , isNatList() -> tt()
     , isNatList() -> U91(isNatKind())
     , isNatList() -> U101(isNatKind())
     , length(nil()) -> 0()
     , length(cons(N)) -> U111(isNatList())
     , take(0(), IL) -> U121(isNatIList())
     , take(s(M), cons(N)) -> U131(isNatIList())}