MAYBE Problem: f(x,f(a(),y)) -> f(a(),f(f(f(a(),x),h(a())),y)) Proof: DP Processor: DPs: f#(x,f(a(),y)) -> f#(a(),x) f#(x,f(a(),y)) -> f#(f(a(),x),h(a())) f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) TRS: f(x,f(a(),y)) -> f(a(),f(f(f(a(),x),h(a())),y)) ADG Processor: DPs: f#(x,f(a(),y)) -> f#(a(),x) f#(x,f(a(),y)) -> f#(f(a(),x),h(a())) f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) TRS: f(x,f(a(),y)) -> f(a(),f(f(f(a(),x),h(a())),y)) graph: f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) -> f#(x,f(a(),y)) -> f#(a(),x) f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) -> f#(x,f(a(),y)) -> f#(f(a(),x),h(a())) f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) -> f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) -> f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) -> f#(x,f(a(),y)) -> f#(a(),x) f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) -> f#(x,f(a(),y)) -> f#(f(a(),x),h(a())) f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) -> f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) -> f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) f#(x,f(a(),y)) -> f#(a(),x) -> f#(x,f(a(),y)) -> f#(a(),x) f#(x,f(a(),y)) -> f#(a(),x) -> f#(x,f(a(),y)) -> f#(f(a(),x),h(a())) f#(x,f(a(),y)) -> f#(a(),x) -> f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) f#(x,f(a(),y)) -> f#(a(),x) -> f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) Restore Modifier: DPs: f#(x,f(a(),y)) -> f#(a(),x) f#(x,f(a(),y)) -> f#(f(a(),x),h(a())) f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) TRS: f(x,f(a(),y)) -> f(a(),f(f(f(a(),x),h(a())),y)) SCC Processor: #sccs: 1 #rules: 3 #arcs: 12/16 DPs: f#(x,f(a(),y)) -> f#(f(f(a(),x),h(a())),y) f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),x),h(a())),y)) f#(x,f(a(),y)) -> f#(a(),x) TRS: f(x,f(a(),y)) -> f(a(),f(f(f(a(),x),h(a())),y)) Open