p(a(x0), p(x1, p(x2, x3))) → p(x1, p(x0, p(a(x3), x3)))
↳ QTRS
↳ DependencyPairsProof
p(a(x0), p(x1, p(x2, x3))) → p(x1, p(x0, p(a(x3), x3)))
P(a(x0), p(x1, p(x2, x3))) → P(x1, p(x0, p(a(x3), x3)))
P(a(x0), p(x1, p(x2, x3))) → P(x0, p(a(x3), x3))
P(a(x0), p(x1, p(x2, x3))) → P(a(x3), x3)
p(a(x0), p(x1, p(x2, x3))) → p(x1, p(x0, p(a(x3), x3)))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
P(a(x0), p(x1, p(x2, x3))) → P(x1, p(x0, p(a(x3), x3)))
P(a(x0), p(x1, p(x2, x3))) → P(x0, p(a(x3), x3))
P(a(x0), p(x1, p(x2, x3))) → P(a(x3), x3)
p(a(x0), p(x1, p(x2, x3))) → p(x1, p(x0, p(a(x3), x3)))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
P(a(x0), p(x1, p(x2, x3))) → P(x0, p(a(x3), x3))
P(a(x0), p(x1, p(x2, x3))) → P(a(x3), x3)
Used ordering: Polynomial interpretation [25,35]:
P(a(x0), p(x1, p(x2, x3))) → P(x1, p(x0, p(a(x3), x3)))
The value of delta used in the strict ordering is 1/4.
POL(P(x1, x2)) = (1/4)x_2
POL(a(x1)) = 0
POL(p(x1, x2)) = 1/4 + (4)x_2
p(a(x0), p(x1, p(x2, x3))) → p(x1, p(x0, p(a(x3), x3)))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
P(a(x0), p(x1, p(x2, x3))) → P(x1, p(x0, p(a(x3), x3)))
p(a(x0), p(x1, p(x2, x3))) → p(x1, p(x0, p(a(x3), x3)))