YES
0 QTRS
↳1 QTRSRRRProof (⇔, 0 ms)
↳2 QTRS
↳3 RisEmptyProof (⇔, 0 ms)
↳4 YES
f(g(h(x, y)), f(a, a)) → f(h(x, x), g(f(y, a)))
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
POL(a) = 1
POL(f(x1, x2)) = 2·x1 + x2
POL(g(x1)) = 2·x1
POL(h(x1, x2)) = 2·x1 + x2
f(g(h(x, y)), f(a, a)) → f(h(x, x), g(f(y, a)))