-(-(neg(x), neg(x)), -(neg(y), neg(y))) → -(-(x, y), -(x, y))
↳ QTRS
↳ DependencyPairsProof
-(-(neg(x), neg(x)), -(neg(y), neg(y))) → -(-(x, y), -(x, y))
-1(-(neg(x), neg(x)), -(neg(y), neg(y))) → -1(-(x, y), -(x, y))
-1(-(neg(x), neg(x)), -(neg(y), neg(y))) → -1(x, y)
-(-(neg(x), neg(x)), -(neg(y), neg(y))) → -(-(x, y), -(x, y))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
-1(-(neg(x), neg(x)), -(neg(y), neg(y))) → -1(-(x, y), -(x, y))
-1(-(neg(x), neg(x)), -(neg(y), neg(y))) → -1(x, y)
-(-(neg(x), neg(x)), -(neg(y), neg(y))) → -(-(x, y), -(x, y))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
-1(-(neg(x), neg(x)), -(neg(y), neg(y))) → -1(x, y)
Used ordering: Polynomial interpretation [25,35]:
-1(-(neg(x), neg(x)), -(neg(y), neg(y))) → -1(-(x, y), -(x, y))
The value of delta used in the strict ordering is 3/16.
POL(-(x1, x2)) = 1/4 + (1/4)x_1
POL(neg(x1)) = (4)x_1
POL(-1(x1, x2)) = (1/4)x_1 + (1/2)x_2
-(-(neg(x), neg(x)), -(neg(y), neg(y))) → -(-(x, y), -(x, y))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ QDPOrderProof
-1(-(neg(x), neg(x)), -(neg(y), neg(y))) → -1(-(x, y), -(x, y))
-(-(neg(x), neg(x)), -(neg(y), neg(y))) → -(-(x, y), -(x, y))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
-1(-(neg(x), neg(x)), -(neg(y), neg(y))) → -1(-(x, y), -(x, y))
The value of delta used in the strict ordering is 1/8.
POL(-(x1, x2)) = (1/2)x_2
POL(neg(x1)) = 1/4 + x_1
POL(-1(x1, x2)) = x_2
-(-(neg(x), neg(x)), -(neg(y), neg(y))) → -(-(x, y), -(x, y))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ PisEmptyProof
-(-(neg(x), neg(x)), -(neg(y), neg(y))) → -(-(x, y), -(x, y))