27.25/7.00	YES
27.25/7.01	
27.25/7.01	Problem:
27.25/7.01	 strict:
27.25/7.01	  a(a(b(x1))) -> c(c(c(x1)))
27.25/7.01	  a(c(a(x1))) -> c(c(a(x1)))
27.25/7.01	  a(c(a(x1))) -> b(a(a(x1)))
27.25/7.01	 weak:
27.25/7.01	  b(a(c(x1))) -> b(b(c(x1)))
27.25/7.01	  b(c(b(x1))) -> a(b(b(x1)))
27.25/7.01	  c(a(b(x1))) -> b(b(a(x1)))
27.25/7.01	
27.25/7.01	Proof:
27.25/7.01	 Root-Labeling Processor:
27.25/7.01	  strict:
27.25/7.01	   a(a)(a(a)(a(b)(b(a)(x1)))) -> a(c)(c(c)(c(c)(c(a)(x1))))
27.25/7.01	   a(a)(a(a)(a(b)(b(b)(x1)))) -> a(c)(c(c)(c(c)(c(b)(x1))))
27.25/7.01	   a(a)(a(a)(a(b)(b(c)(x1)))) -> a(c)(c(c)(c(c)(c(c)(x1))))
27.25/7.01	   b(a)(a(a)(a(b)(b(a)(x1)))) -> b(c)(c(c)(c(c)(c(a)(x1))))
27.25/7.01	   b(a)(a(a)(a(b)(b(b)(x1)))) -> b(c)(c(c)(c(c)(c(b)(x1))))
27.25/7.01	   b(a)(a(a)(a(b)(b(c)(x1)))) -> b(c)(c(c)(c(c)(c(c)(x1))))
27.25/7.01	   c(a)(a(a)(a(b)(b(a)(x1)))) -> c(c)(c(c)(c(c)(c(a)(x1))))
27.25/7.01	   c(a)(a(a)(a(b)(b(b)(x1)))) -> c(c)(c(c)(c(c)(c(b)(x1))))
27.25/7.01	   c(a)(a(a)(a(b)(b(c)(x1)))) -> c(c)(c(c)(c(c)(c(c)(x1))))
27.25/7.01	   a(a)(a(c)(c(a)(a(a)(x1)))) -> a(c)(c(c)(c(a)(a(a)(x1))))
27.25/7.01	   a(a)(a(c)(c(a)(a(b)(x1)))) -> a(c)(c(c)(c(a)(a(b)(x1))))
27.25/7.01	   a(a)(a(c)(c(a)(a(c)(x1)))) -> a(c)(c(c)(c(a)(a(c)(x1))))
27.25/7.01	   b(a)(a(c)(c(a)(a(a)(x1)))) -> b(c)(c(c)(c(a)(a(a)(x1))))
27.25/7.01	   b(a)(a(c)(c(a)(a(b)(x1)))) -> b(c)(c(c)(c(a)(a(b)(x1))))
27.25/7.01	   b(a)(a(c)(c(a)(a(c)(x1)))) -> b(c)(c(c)(c(a)(a(c)(x1))))
27.25/7.01	   c(a)(a(c)(c(a)(a(a)(x1)))) -> c(c)(c(c)(c(a)(a(a)(x1))))
27.25/7.01	   c(a)(a(c)(c(a)(a(b)(x1)))) -> c(c)(c(c)(c(a)(a(b)(x1))))
27.25/7.01	   c(a)(a(c)(c(a)(a(c)(x1)))) -> c(c)(c(c)(c(a)(a(c)(x1))))
27.25/7.01	   a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1))))
27.25/7.01	   a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1))))
27.25/7.01	   a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1))))
27.25/7.01	   b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1))))
27.25/7.01	   b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1))))
27.25/7.01	   b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1))))
27.25/7.01	   c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1))))
27.25/7.01	   c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1))))
27.25/7.01	   c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1))))
27.25/7.01	  weak:
27.25/7.01	   b(a)(a(c)(c(a)(x1))) -> b(b)(b(c)(c(a)(x1)))
27.25/7.01	   b(a)(a(c)(c(b)(x1))) -> b(b)(b(c)(c(b)(x1)))
27.25/7.01	   b(a)(a(c)(c(c)(x1))) -> b(b)(b(c)(c(c)(x1)))
27.25/7.01	   a(b)(b(c)(c(b)(b(a)(x1)))) -> a(a)(a(b)(b(b)(b(a)(x1))))
27.25/7.01	   a(b)(b(c)(c(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(b(b)(x1))))
27.25/7.01	   a(b)(b(c)(c(b)(b(c)(x1)))) -> a(a)(a(b)(b(b)(b(c)(x1))))
27.25/7.01	   b(b)(b(c)(c(b)(b(a)(x1)))) -> b(a)(a(b)(b(b)(b(a)(x1))))
27.25/7.01	   b(b)(b(c)(c(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(b(b)(x1))))
27.25/7.01	   b(b)(b(c)(c(b)(b(c)(x1)))) -> b(a)(a(b)(b(b)(b(c)(x1))))
27.25/7.01	   c(b)(b(c)(c(b)(b(a)(x1)))) -> c(a)(a(b)(b(b)(b(a)(x1))))
27.25/7.01	   c(b)(b(c)(c(b)(b(b)(x1)))) -> c(a)(a(b)(b(b)(b(b)(x1))))
27.25/7.01	   c(b)(b(c)(c(b)(b(c)(x1)))) -> c(a)(a(b)(b(b)(b(c)(x1))))
27.25/7.01	   a(c)(c(a)(a(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1))))
27.25/7.01	   a(c)(c(a)(a(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1))))
27.25/7.01	   a(c)(c(a)(a(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1))))
27.25/7.01	   b(c)(c(a)(a(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1))))
27.25/7.01	   b(c)(c(a)(a(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1))))
27.25/7.01	   b(c)(c(a)(a(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1))))
27.25/7.01	   c(c)(c(a)(a(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1))))
27.25/7.01	   c(c)(c(a)(a(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1))))
27.25/7.01	   c(c)(c(a)(a(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1))))
27.25/7.01	  LPO Processor:
27.25/7.01	   precedence:
27.25/7.01	    b(c) ~ c(a) ~ a(c) ~ b(a) ~ a(a) > c(b) > a(b) > b(b) ~ c(c)
27.25/7.01	   problem:
27.25/7.01	    strict:
27.25/7.01	     
27.25/7.01	    weak:
27.25/7.01	     
27.25/7.01	   Qed
27.25/7.02	EOF