799.92/299.45	MAYBE
799.92/299.45	
799.92/299.45	Problem:
799.92/299.45	 strict:
799.92/299.45	  T(ok(sys(x,p(d,0()),r(0()),y))) -> T(check(sys(x,bot(),r(1()),y)))
799.92/299.45	  T(ok(sys(x,p(d,1()),r(1()),y))) -> T(check(sys(x,bot(),r(0()),y)))
799.92/299.45	 weak:
799.92/299.45	  T(ok(sys(S(0(),c(d,ds)),bot(),y,z))) -> T(check(sys(S(0(),c(d,ds)),p(d,0()),y,z)))
799.92/299.45	  T(ok(sys(S(1(),c(d,ds)),bot(),y,z))) -> T(check(sys(S(0(),c(d,ds)),p(d,1()),y,z)))
799.92/299.45	  T(ok(sys(S(0(),c(d,ds)),x,y,f(0())))) -> T(check(sys(S(1(),ds),x,y,bot())))
799.92/299.45	  T(ok(sys(S(1(),c(d,ds)),x,y,f(1())))) -> T(check(sys(S(0(),ds),x,y,bot())))
799.92/299.45	  T(ok(sys(x,y,r(0()),bot()))) -> T(check(sys(x,y,r(0()),f(1()))))
799.92/299.45	  T(ok(sys(x,y,r(1()),bot()))) -> T(check(sys(x,y,r(1()),f(0()))))
799.92/299.45	  nils() -> c(new(),nils())
799.92/299.45	  p(d,b) -> bot()
799.92/299.45	  f(b) -> bot()
799.92/299.45	  check(old()) -> ok(old())
799.92/299.45	  check(r(v1)) -> r(check(v1))
799.92/299.45	  r(ok(v1)) -> ok(r(v1))
799.92/299.45	  check(f(v1)) -> f(check(v1))
799.92/299.45	  f(ok(v1)) -> ok(f(v1))
799.92/299.45	  check(p(v1,v2)) -> p(v1,check(v2))
799.92/299.45	  check(p(v1,v2)) -> p(check(v1),v2)
799.92/299.45	  p(v1,ok(v2)) -> ok(p(v1,v2))
799.92/299.45	  p(ok(v1),v2) -> ok(p(v1,v2))
799.92/299.45	  check(c(v1,v2)) -> c(v1,check(v2))
799.92/299.45	  check(c(v1,v2)) -> c(check(v1),v2)
799.92/299.45	  c(v1,ok(v2)) -> ok(c(v1,v2))
799.92/299.45	  c(ok(v1),v2) -> ok(c(v1,v2))
799.92/299.45	  check(S(v1,v2)) -> S(v1,check(v2))
799.92/299.45	  check(S(v1,v2)) -> S(check(v1),v2)
799.92/299.45	  S(v1,ok(v2)) -> ok(S(v1,v2))
799.92/299.45	  S(ok(v1),v2) -> ok(S(v1,v2))
799.92/299.45	  check(sys(v1,v2,v3,v4)) -> sys(v1,v2,v3,check(v4))
799.92/299.45	  check(sys(v1,v2,v3,v4)) -> sys(v1,v2,check(v3),v4)
799.92/299.45	  check(sys(v1,v2,v3,v4)) -> sys(v1,check(v2),v3,v4)
799.92/299.45	  check(sys(v1,v2,v3,v4)) -> sys(check(v1),v2,v3,v4)
799.92/299.45	  sys(v1,v2,v3,ok(v4)) -> ok(sys(v1,v2,v3,v4))
799.92/299.45	  sys(v1,v2,ok(v3),v4) -> ok(sys(v1,v2,v3,v4))
799.92/299.45	  sys(v1,ok(v2),v3,v4) -> ok(sys(v1,v2,v3,v4))
799.92/299.45	  sys(ok(v1),v2,v3,v4) -> ok(sys(v1,v2,v3,v4))
799.92/299.45	
799.92/299.45	Proof:
799.92/299.45	 Open
800.11/299.46	EOF