dfib(s(s(x)), y) → dfib(s(x), dfib(x, y))
↳ QTRS
↳ DependencyPairsProof
dfib(s(s(x)), y) → dfib(s(x), dfib(x, y))
DFIB(s(s(x)), y) → DFIB(s(x), dfib(x, y))
DFIB(s(s(x)), y) → DFIB(x, y)
dfib(s(s(x)), y) → dfib(s(x), dfib(x, y))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
DFIB(s(s(x)), y) → DFIB(s(x), dfib(x, y))
DFIB(s(s(x)), y) → DFIB(x, y)
dfib(s(s(x)), y) → dfib(s(x), dfib(x, y))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
DFIB(s(s(x)), y) → DFIB(x, y)
Used ordering: Polynomial interpretation [25,35]:
DFIB(s(s(x)), y) → DFIB(s(x), dfib(x, y))
The value of delta used in the strict ordering is 15/8.
POL(dfib(x1, x2)) = 5/4
POL(s(x1)) = 1/2 + (2)x_1
POL(DFIB(x1, x2)) = (5/4)x_1 + x_2
dfib(s(s(x)), y) → dfib(s(x), dfib(x, y))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ QDPOrderProof
DFIB(s(s(x)), y) → DFIB(s(x), dfib(x, y))
dfib(s(s(x)), y) → dfib(s(x), dfib(x, y))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
DFIB(s(s(x)), y) → DFIB(s(x), dfib(x, y))
The value of delta used in the strict ordering is 11/8.
POL(dfib(x1, x2)) = 1/4 + x_1 + (3/4)x_2
POL(s(x1)) = 2 + (4)x_1
POL(DFIB(x1, x2)) = (1/4)x_1 + (5/2)x_2
dfib(s(s(x)), y) → dfib(s(x), dfib(x, y))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ PisEmptyProof
dfib(s(s(x)), y) → dfib(s(x), dfib(x, y))