MAYBE Time: 0.015 Problem: Equations: orAC(orAC(x6,x7),x8) -> orAC(x6,orAC(x7,x8)) orAC(x6,x7) -> orAC(x7,x6) orAC(x6,orAC(x7,x8)) -> orAC(orAC(x6,x7),x8) orAC(x7,x6) -> orAC(x6,x7) TRS: eqC(0(),0()) -> true() eqC(0(),s(x)) -> false() eqC(s(x),0()) -> false() eqC(s(x),s(y)) -> eqC(x,y) orAC(true(),y) -> true() orAC(false(),y) -> y union(empty(),h) -> h union(edge(x,y,i),h) -> edge(x,y,union(i,h)) reach(x,y,empty(),h) -> false() reach(x,y,edge(u,v,i),h) -> if_reach_1(eqC(x,u),x,y,edge(u,v,i),h) if_reach_1(true(),x,y,edge(u,v,i),h) -> if_reach_2(eqC(y,v),x,y,edge(u,v,i),h) if_reach_1(false(),x,y,edge(u,v,i),h) -> reach(x,y,i,edge(u,v,h)) if_reach_2(true(),x,y,edge(u,v,i),h) -> true() if_reach_2(false(),x,y,edge(u,v,i),h) -> orAC(reach(x,y,i,h),reach(v,y,union(i,h),empty())) Proof: Open