1.76/0.86	YES
1.76/0.86	
1.76/0.86	Problem:
1.76/0.86	 R(x1) -> r(x1)
1.76/0.86	 r(p(x1)) -> p(p(r(P(x1))))
1.76/0.86	 r(r(x1)) -> x1
1.76/0.86	 r(P(P(x1))) -> P(P(r(x1)))
1.76/0.86	 p(P(x1)) -> x1
1.76/0.86	 P(p(x1)) -> x1
1.76/0.86	 r(R(x1)) -> x1
1.76/0.86	 R(r(x1)) -> x1
1.76/0.86	
1.76/0.86	Proof:
1.76/0.86	 Bounds Processor:
1.76/0.86	  bound: 0
1.76/0.86	  enrichment: match
1.76/0.86	  automaton:
1.76/0.86	   final states: {7,2,3,1}
1.76/0.86	   transitions:
1.76/0.86	    P0(2) -> 4*
1.76/0.86	    P0(1) -> 8*
1.76/0.86	    P0(8) -> 7*
1.76/0.86	    f40() -> 2*
1.76/0.86	    r0(2) -> 1*
1.76/0.86	    r0(4) -> 5*
1.76/0.86	    p0(5) -> 6*
1.76/0.86	    p0(6) -> 3*
1.76/0.86	    1 -> 3*
1.76/0.86	    2 -> 6,4,1
1.76/0.86	    3 -> 7,1
1.76/0.86	    5 -> 7*
1.76/0.86	    6 -> 8*
1.76/0.86	    7 -> 1,5
1.76/0.86	    8 -> 6*
1.76/0.86	  problem:
1.76/0.86	   
1.76/0.86	  Qed
1.76/0.86	EOF