MAYBE Problem: f(b(a(),z)) -> z b(y,b(a(),z)) -> b(f(c(y,y,a())),b(f(z),a())) f(f(f(c(z,x,a())))) -> b(f(x),z) Proof: DP Processor: DPs: b#(y,b(a(),z)) -> f#(z) b#(y,b(a(),z)) -> b#(f(z),a()) b#(y,b(a(),z)) -> f#(c(y,y,a())) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) f#(f(f(c(z,x,a())))) -> f#(x) f#(f(f(c(z,x,a())))) -> b#(f(x),z) TRS: f(b(a(),z)) -> z b(y,b(a(),z)) -> b(f(c(y,y,a())),b(f(z),a())) f(f(f(c(z,x,a())))) -> b(f(x),z) CDG Processor: DPs: b#(y,b(a(),z)) -> f#(z) b#(y,b(a(),z)) -> b#(f(z),a()) b#(y,b(a(),z)) -> f#(c(y,y,a())) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) f#(f(f(c(z,x,a())))) -> f#(x) f#(f(f(c(z,x,a())))) -> b#(f(x),z) TRS: f(b(a(),z)) -> z b(y,b(a(),z)) -> b(f(c(y,y,a())),b(f(z),a())) f(f(f(c(z,x,a())))) -> b(f(x),z) graph: b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> f#(z) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> b#(f(z),a()) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> f#(c(y,y,a())) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) b#(y,b(a(),z)) -> f#(z) -> f#(f(f(c(z,x,a())))) -> f#(x) b#(y,b(a(),z)) -> f#(z) -> f#(f(f(c(z,x,a())))) -> b#(f(x),z) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> f#(z) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> b#(f(z),a()) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> f#(c(y,y,a())) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) f#(f(f(c(z,x,a())))) -> f#(x) -> f#(f(f(c(z,x,a())))) -> f#(x) f#(f(f(c(z,x,a())))) -> f#(x) -> f#(f(f(c(z,x,a())))) -> b#(f(x),z) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) b#(y,b(a(),z)) -> f#(z) f#(f(f(c(z,x,a())))) -> b#(f(x),z) f#(f(f(c(z,x,a())))) -> f#(x) TRS: f(b(a(),z)) -> z b(y,b(a(),z)) -> b(f(c(y,y,a())),b(f(z),a())) f(f(f(c(z,x,a())))) -> b(f(x),z) Open