0(0(0(0(x1)))) → 1(0(1(1(x1))))
1(0(0(1(x1)))) → 0(0(1(0(x1))))
↳ QTRS
↳ DependencyPairsProof
0(0(0(0(x1)))) → 1(0(1(1(x1))))
1(0(0(1(x1)))) → 0(0(1(0(x1))))
11(0(0(1(x1)))) → 11(0(x1))
11(0(0(1(x1)))) → 01(0(1(0(x1))))
01(0(0(0(x1)))) → 11(1(x1))
01(0(0(0(x1)))) → 11(x1)
11(0(0(1(x1)))) → 01(1(0(x1)))
01(0(0(0(x1)))) → 01(1(1(x1)))
11(0(0(1(x1)))) → 01(x1)
01(0(0(0(x1)))) → 11(0(1(1(x1))))
0(0(0(0(x1)))) → 1(0(1(1(x1))))
1(0(0(1(x1)))) → 0(0(1(0(x1))))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
11(0(0(1(x1)))) → 11(0(x1))
11(0(0(1(x1)))) → 01(0(1(0(x1))))
01(0(0(0(x1)))) → 11(1(x1))
01(0(0(0(x1)))) → 11(x1)
11(0(0(1(x1)))) → 01(1(0(x1)))
01(0(0(0(x1)))) → 01(1(1(x1)))
11(0(0(1(x1)))) → 01(x1)
01(0(0(0(x1)))) → 11(0(1(1(x1))))
0(0(0(0(x1)))) → 1(0(1(1(x1))))
1(0(0(1(x1)))) → 0(0(1(0(x1))))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
11(0(0(1(x1)))) → 11(0(x1))
01(0(0(0(x1)))) → 11(1(x1))
01(0(0(0(x1)))) → 11(x1)
11(0(0(1(x1)))) → 01(1(0(x1)))
01(0(0(0(x1)))) → 01(1(1(x1)))
11(0(0(1(x1)))) → 01(x1)
Used ordering: Polynomial interpretation [25,35]:
11(0(0(1(x1)))) → 01(0(1(0(x1))))
01(0(0(0(x1)))) → 11(0(1(1(x1))))
The value of delta used in the strict ordering is 1/1.
POL(11(x1)) = (1/4)x_1
POL(1(x1)) = 1/4 + (4)x_1
POL(01(x1)) = (1/4)x_1
POL(0(x1)) = 1/4 + (4)x_1
1(0(0(1(x1)))) → 0(0(1(0(x1))))
0(0(0(0(x1)))) → 1(0(1(1(x1))))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
11(0(0(1(x1)))) → 01(0(1(0(x1))))
01(0(0(0(x1)))) → 11(0(1(1(x1))))
0(0(0(0(x1)))) → 1(0(1(1(x1))))
1(0(0(1(x1)))) → 0(0(1(0(x1))))