YES Time: 0.017 Problem: Equations: plusAC(plusAC(x3,x4),x5) -> plusAC(x3,plusAC(x4,x5)) plusAC(x3,x4) -> plusAC(x4,x3) plusAC(x3,plusAC(x4,x5)) -> plusAC(plusAC(x3,x4),x5) plusAC(x4,x3) -> plusAC(x3,x4) TRS: s(p(x)) -> x p(s(x)) -> x minus(x,0()) -> x minus(x,s(y)) -> p(minus(x,y)) minus(x,p(y)) -> s(minus(x,y)) plusAC(x,0()) -> x plusAC(x,s(y)) -> s(plusAC(x,y)) plusAC(x,p(y)) -> p(plusAC(x,y)) Proof: AC-RPO Processor: precedence: minus > 0 > plusAC > s > p status: minus:mul problem: Equations: plusAC(plusAC(x3,x4),x5) -> plusAC(x3,plusAC(x4,x5)) plusAC(x3,x4) -> plusAC(x4,x3) plusAC(x3,plusAC(x4,x5)) -> plusAC(plusAC(x3,x4),x5) plusAC(x4,x3) -> plusAC(x3,x4) TRS: Qed