MAYBE Time: 1.370 Problem: Equations: plusAC(plusAC(x2,x3),x4) -> plusAC(x2,plusAC(x3,x4)) plusAC(x2,x3) -> plusAC(x3,x2) timesAC(timesAC(x2,x3),x4) -> timesAC(x2,timesAC(x3,x4)) timesAC(x2,x3) -> timesAC(x3,x2) plusAC(x2,plusAC(x3,x4)) -> plusAC(plusAC(x2,x3),x4) plusAC(x3,x2) -> plusAC(x2,x3) timesAC(x2,timesAC(x3,x4)) -> timesAC(timesAC(x2,x3),x4) timesAC(x3,x2) -> timesAC(x2,x3) TRS: p(s(x)) -> x plusAC(x,0()) -> x plusAC(x,s(y)) -> s(plusAC(x,y)) timesAC(x,0()) -> 0() timesAC(x,s(y)) -> plusAC(x,timesAC(x,y)) minus(x,0()) -> x minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) div(0(),s(y)) -> 0() div(s(x),s(y)) -> s(div(minus(x,y),s(y))) Proof: Open