286.92/297.93	YES
286.92/297.93	
286.92/297.93	Problem 1: 
286.92/297.93	
286.92/297.93	(VAR v_NonEmpty:S x1:S)
286.92/297.93	(RULES
286.92/297.93	0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	)
286.92/297.93	
286.92/297.93	Problem 1: 
286.92/297.93	
286.92/297.93	Dependency Pairs Processor:
286.92/297.93	-> Pairs:
286.92/297.93	 0#(0(0(x1:S))) -> 0#(2(0(0(x1:S))))
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(1(4(2(x1:S)))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 0#(0(2(1(4(x1:S)))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 0#(2(1(4(x1:S))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 1#(4(x1:S))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 3#(0(0(2(1(4(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(5(2(5(0(3(x1:S))))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(5(2(0(x1:S))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 0#(0(1(2(x1:S))))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(1(3(x1:S))) -> 3#(2(2(1(0(x1:S)))))
286.92/297.93	 0#(3(0(x1:S))) -> 0#(2(3(4(0(x1:S)))))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 0#(2(1(3(x1:S))))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 0#(4(0(2(1(0(x1:S))))))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 0#(2(1(0(x1:S))))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 4#(0(2(1(0(x1:S)))))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 1#(4(2(0(3(x1:S)))))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 4#(2(0(3(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(2(1(3(4(x1:S)))))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(2(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(0(2(1(3(4(x1:S))))))
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(0(2(4(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(2(4(x1:S)))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(2(5(0(x1:S))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(2(5(0(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 3#(2(4(4(0(x1:S)))))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(4(x1:S)))) -> 0#(0(2(4(x1:S))))
286.92/297.93	 0#(5(0(4(x1:S)))) -> 0#(2(4(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 0#(2(3(2(0(x1:S)))))
286.92/297.93	 0#(5(0(x1:S))) -> 0#(5(2(4(0(x1:S)))))
286.92/297.93	 0#(5(0(x1:S))) -> 3#(2(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(3(x1:S))) -> 3#(2(0(x1:S)))
286.92/297.93	 0#(5(3(x1:S))) -> 3#(2(5(3(2(0(x1:S))))))
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 3#(5(5(0(x1:S))))
286.92/297.93	 1#(0(4(x1:S))) -> 0#(2(1(4(x1:S))))
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(2(1(4(0(x1:S)))))
286.92/297.93	 1#(0(4(x1:S))) -> 3#(0(2(1(4(x1:S)))))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 0#(1(2(3(x1:S))))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 1#(2(3(x1:S)))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 1#(3(0(4(x1:S)))) -> 4#(0(1(2(3(x1:S)))))
286.92/297.93	 3#(0(0(x1:S))) -> 0#(2(0(x1:S)))
286.92/297.93	 3#(0(0(x1:S))) -> 3#(0(2(0(x1:S))))
286.92/297.93	 3#(0(3(x1:S))) -> 0#(2(3(x1:S)))
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 3#(0(2(3(x1:S))))
286.92/297.93	 3#(0(3(x1:S))) -> 3#(3(2(2(0(x1:S)))))
286.92/297.93	 3#(0(3(x1:S))) -> 3#(2(2(0(x1:S))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 4#(2(4(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(2(0(3(x1:S))))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 1#(4(5(3(0(3(x1:S))))))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 4#(5(3(0(3(x1:S)))))
286.92/297.93	 3#(3(4(x1:S))) -> 1#(3(2(4(x1:S))))
286.92/297.93	 3#(3(4(x1:S))) -> 3#(2(1(3(2(4(x1:S))))))
286.92/297.93	 3#(3(4(x1:S))) -> 3#(2(4(x1:S)))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 0#(2(3(4(x1:S))))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(0(2(3(4(x1:S)))))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 0#(2(1(x1:S)))
286.92/297.93	 3#(5(0(x1:S))) -> 1#(0(2(1(x1:S))))
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 3#(5(1(0(2(1(x1:S))))))
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(3(5(x1:S)))) -> 4#(2(0(x1:S)))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(2(4(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(2(4(4(0(x1:S)))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 1#(4(0(2(4(0(x1:S))))))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(2(4(0(x1:S)))))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	
286.92/297.93	Problem 1: 
286.92/297.93	
286.92/297.93	SCC Processor:
286.92/297.93	-> Pairs:
286.92/297.93	 0#(0(0(x1:S))) -> 0#(2(0(0(x1:S))))
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(1(4(2(x1:S)))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 0#(0(2(1(4(x1:S)))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 0#(2(1(4(x1:S))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 1#(4(x1:S))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 3#(0(0(2(1(4(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(5(2(5(0(3(x1:S))))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(5(2(0(x1:S))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 0#(0(1(2(x1:S))))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(1(3(x1:S))) -> 3#(2(2(1(0(x1:S)))))
286.92/297.93	 0#(3(0(x1:S))) -> 0#(2(3(4(0(x1:S)))))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 0#(2(1(3(x1:S))))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 0#(4(0(2(1(0(x1:S))))))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 0#(2(1(0(x1:S))))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 4#(0(2(1(0(x1:S)))))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 1#(4(2(0(3(x1:S)))))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 4#(2(0(3(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(2(1(3(4(x1:S)))))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(2(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(0(2(1(3(4(x1:S))))))
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(0(2(4(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(2(4(x1:S)))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(2(5(0(x1:S))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(2(5(0(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 3#(2(4(4(0(x1:S)))))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(4(x1:S)))) -> 0#(0(2(4(x1:S))))
286.92/297.93	 0#(5(0(4(x1:S)))) -> 0#(2(4(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 0#(2(3(2(0(x1:S)))))
286.92/297.93	 0#(5(0(x1:S))) -> 0#(5(2(4(0(x1:S)))))
286.92/297.93	 0#(5(0(x1:S))) -> 3#(2(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(3(x1:S))) -> 3#(2(0(x1:S)))
286.92/297.93	 0#(5(3(x1:S))) -> 3#(2(5(3(2(0(x1:S))))))
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 3#(5(5(0(x1:S))))
286.92/297.93	 1#(0(4(x1:S))) -> 0#(2(1(4(x1:S))))
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(2(1(4(0(x1:S)))))
286.92/297.93	 1#(0(4(x1:S))) -> 3#(0(2(1(4(x1:S)))))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 0#(1(2(3(x1:S))))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 1#(2(3(x1:S)))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 1#(3(0(4(x1:S)))) -> 4#(0(1(2(3(x1:S)))))
286.92/297.93	 3#(0(0(x1:S))) -> 0#(2(0(x1:S)))
286.92/297.93	 3#(0(0(x1:S))) -> 3#(0(2(0(x1:S))))
286.92/297.93	 3#(0(3(x1:S))) -> 0#(2(3(x1:S)))
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 3#(0(2(3(x1:S))))
286.92/297.93	 3#(0(3(x1:S))) -> 3#(3(2(2(0(x1:S)))))
286.92/297.93	 3#(0(3(x1:S))) -> 3#(2(2(0(x1:S))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 4#(2(4(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(2(0(3(x1:S))))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 1#(4(5(3(0(3(x1:S))))))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 4#(5(3(0(3(x1:S)))))
286.92/297.93	 3#(3(4(x1:S))) -> 1#(3(2(4(x1:S))))
286.92/297.93	 3#(3(4(x1:S))) -> 3#(2(1(3(2(4(x1:S))))))
286.92/297.93	 3#(3(4(x1:S))) -> 3#(2(4(x1:S)))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 0#(2(3(4(x1:S))))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(0(2(3(4(x1:S)))))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 0#(2(1(x1:S)))
286.92/297.93	 3#(5(0(x1:S))) -> 1#(0(2(1(x1:S))))
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 3#(5(1(0(2(1(x1:S))))))
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(3(5(x1:S)))) -> 4#(2(0(x1:S)))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(2(4(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(2(4(4(0(x1:S)))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 1#(4(0(2(4(0(x1:S))))))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(2(4(0(x1:S)))))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	->Strongly Connected Components:
286.92/297.93	->->Cycle:
286.92/297.93	->->-> Pairs:
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 1#(4(x1:S))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 3#(0(0(2(1(4(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	->->-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	
286.92/297.93	Problem 1: 
286.92/297.93	
286.92/297.93	Reduction Pair Processor:
286.92/297.93	-> Pairs:
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 1#(4(x1:S))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 3#(0(0(2(1(4(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	-> Usable rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	->Interpretation type:
286.92/297.93	 Linear
286.92/297.93	->Coefficients:
286.92/297.93	 All rationals
286.92/297.93	->Dimension:
286.92/297.93	 1
286.92/297.93	->Bound:
286.92/297.93	 2
286.92/297.93	->Interpretation:
286.92/297.93	 
286.92/297.93	[0](X) = 2.X + 2
286.92/297.93	[1](X) = X
286.92/297.93	[3](X) = X
286.92/297.93	[4](X) = X + 2
286.92/297.93	[2](X) = 1/2.X
286.92/297.93	[5](X) = X + 1/2
286.92/297.93	[0#](X) = X + 1
286.92/297.93	[1#](X) = 1/2.X
286.92/297.93	[3#](X) = 1/2.X + 1/2
286.92/297.93	[4#](X) = 1/2.X + 1/2
286.92/297.93	
286.92/297.93	Problem 1: 
286.92/297.93	
286.92/297.93	SCC Processor:
286.92/297.93	-> Pairs:
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 3#(0(0(2(1(4(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	->Strongly Connected Components:
286.92/297.93	->->Cycle:
286.92/297.93	->->-> Pairs:
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 3#(0(0(2(1(4(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	->->-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	
286.92/297.93	Problem 1: 
286.92/297.93	
286.92/297.93	Reduction Pair Processor:
286.92/297.93	-> Pairs:
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 3#(0(0(2(1(4(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	-> Usable rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	->Interpretation type:
286.92/297.93	 Linear
286.92/297.93	->Coefficients:
286.92/297.93	 All rationals
286.92/297.93	->Dimension:
286.92/297.93	 1
286.92/297.93	->Bound:
286.92/297.93	 2
286.92/297.93	->Interpretation:
286.92/297.93	 
286.92/297.93	[0](X) = 2.X + 1
286.92/297.93	[1](X) = X
286.92/297.93	[3](X) = X
286.92/297.93	[4](X) = X + 1
286.92/297.93	[2](X) = 1/2.X
286.92/297.93	[5](X) = X + 1/2
286.92/297.93	[0#](X) = X + 1/2
286.92/297.93	[1#](X) = 1/2.X
286.92/297.93	[3#](X) = 1/2.X
286.92/297.93	[4#](X) = 1/2.X + 1/2
286.92/297.93	
286.92/297.93	Problem 1: 
286.92/297.93	
286.92/297.93	SCC Processor:
286.92/297.93	-> Pairs:
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	->Strongly Connected Components:
286.92/297.93	->->Cycle:
286.92/297.93	->->-> Pairs:
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	->->-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	
286.92/297.93	Problem 1: 
286.92/297.93	
286.92/297.93	Reduction Pair Processor:
286.92/297.93	-> Pairs:
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(4(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	-> Usable rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	->Interpretation type:
286.92/297.93	 Linear
286.92/297.93	->Coefficients:
286.92/297.93	 All rationals
286.92/297.93	->Dimension:
286.92/297.93	 1
286.92/297.93	->Bound:
286.92/297.93	 2
286.92/297.93	->Interpretation:
286.92/297.93	 
286.92/297.93	[0](X) = 2.X + 1
286.92/297.93	[1](X) = X
286.92/297.93	[3](X) = X
286.92/297.93	[4](X) = X + 1
286.92/297.93	[2](X) = 1/2.X
286.92/297.93	[5](X) = X + 1/2
286.92/297.93	[0#](X) = 2.X + 2
286.92/297.93	[1#](X) = X + 1
286.92/297.93	[3#](X) = X + 2
286.92/297.93	[4#](X) = X + 2
286.92/297.93	
286.92/297.93	Problem 1: 
286.92/297.93	
286.92/297.93	SCC Processor:
286.92/297.93	-> Pairs:
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.93	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.93	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.93	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.93	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.93	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.93	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.93	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.93	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.93	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.93	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.93	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.93	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.93	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.93	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.93	-> Rules:
286.92/297.93	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.93	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.93	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.93	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.93	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.93	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.93	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.93	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.93	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.93	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.93	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.93	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.93	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.93	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.93	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.93	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.93	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.93	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.93	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.93	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.93	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.93	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.93	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.93	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.93	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.93	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.93	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.93	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.93	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.93	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.93	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.93	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.93	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.93	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.93	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.93	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.93	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.93	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.93	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.93	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.93	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.93	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.93	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.93	->Strongly Connected Components:
286.92/297.93	->->Cycle:
286.92/297.93	->->-> Pairs:
286.92/297.93	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.93	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.93	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.93	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.93	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.93	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.93	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.93	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.93	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.93	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.93	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.93	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.93	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.93	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.93	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.93	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	->->-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	
286.92/297.94	Problem 1: 
286.92/297.94	
286.92/297.94	Reduction Pair Processor:
286.92/297.94	-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(4(x1:S))) -> 0#(0(3(2(x1:S))))
286.92/297.94	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.94	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.94	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	-> Usable rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	->Interpretation type:
286.92/297.94	 Linear
286.92/297.94	->Coefficients:
286.92/297.94	 All rationals
286.92/297.94	->Dimension:
286.92/297.94	 1
286.92/297.94	->Bound:
286.92/297.94	 2
286.92/297.94	->Interpretation:
286.92/297.94	 
286.92/297.94	[0](X) = 2.X + 2
286.92/297.94	[1](X) = X
286.92/297.94	[3](X) = X
286.92/297.94	[4](X) = X + 2
286.92/297.94	[2](X) = 1/2.X
286.92/297.94	[5](X) = X + 1/2
286.92/297.94	[0#](X) = 2.X + 2
286.92/297.94	[1#](X) = X
286.92/297.94	[3#](X) = X
286.92/297.94	[4#](X) = X + 2
286.92/297.94	
286.92/297.94	Problem 1: 
286.92/297.94	
286.92/297.94	SCC Processor:
286.92/297.94	-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.94	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.94	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	->Strongly Connected Components:
286.92/297.94	->->Cycle:
286.92/297.94	->->-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.94	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.94	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	->->-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	
286.92/297.94	Problem 1: 
286.92/297.94	
286.92/297.94	Reduction Pair Processor:
286.92/297.94	-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(4(x1:S))) -> 0#(3(2(x1:S)))
286.92/297.94	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.94	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	-> Usable rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	->Interpretation type:
286.92/297.94	 Linear
286.92/297.94	->Coefficients:
286.92/297.94	 All rationals
286.92/297.94	->Dimension:
286.92/297.94	 1
286.92/297.94	->Bound:
286.92/297.94	 2
286.92/297.94	->Interpretation:
286.92/297.94	 
286.92/297.94	[0](X) = 2.X + 2
286.92/297.94	[1](X) = X
286.92/297.94	[3](X) = X
286.92/297.94	[4](X) = X + 2
286.92/297.94	[2](X) = 1/2.X
286.92/297.94	[5](X) = X + 1
286.92/297.94	[0#](X) = X + 2
286.92/297.94	[1#](X) = 1/2.X + 1/2
286.92/297.94	[3#](X) = 1/2.X + 2
286.92/297.94	[4#](X) = 1/2.X + 2
286.92/297.94	
286.92/297.94	Problem 1: 
286.92/297.94	
286.92/297.94	SCC Processor:
286.92/297.94	-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.94	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	->Strongly Connected Components:
286.92/297.94	->->Cycle:
286.92/297.94	->->-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.94	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	->->-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	
286.92/297.94	Problem 1: 
286.92/297.94	
286.92/297.94	Reduction Pair Processor:
286.92/297.94	-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(4(x1:S))) -> 4#(0(0(3(2(x1:S)))))
286.92/297.94	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	-> Usable rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	->Interpretation type:
286.92/297.94	 Linear
286.92/297.94	->Coefficients:
286.92/297.94	 All rationals
286.92/297.94	->Dimension:
286.92/297.94	 1
286.92/297.94	->Bound:
286.92/297.94	 2
286.92/297.94	->Interpretation:
286.92/297.94	 
286.92/297.94	[0](X) = 2.X + 2
286.92/297.94	[1](X) = X
286.92/297.94	[3](X) = X
286.92/297.94	[4](X) = X + 2
286.92/297.94	[2](X) = 1/2.X
286.92/297.94	[5](X) = X + 1
286.92/297.94	[0#](X) = 2.X + 2
286.92/297.94	[1#](X) = X
286.92/297.94	[3#](X) = X + 2
286.92/297.94	[4#](X) = X + 2
286.92/297.94	
286.92/297.94	Problem 1: 
286.92/297.94	
286.92/297.94	SCC Processor:
286.92/297.94	-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	->Strongly Connected Components:
286.92/297.94	->->Cycle:
286.92/297.94	->->-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	->->-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	
286.92/297.94	Problem 1: 
286.92/297.94	
286.92/297.94	Reduction Pair Processor:
286.92/297.94	-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(5(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	-> Usable rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	->Interpretation type:
286.92/297.94	 Linear
286.92/297.94	->Coefficients:
286.92/297.94	 All rationals
286.92/297.94	->Dimension:
286.92/297.94	 1
286.92/297.94	->Bound:
286.92/297.94	 2
286.92/297.94	->Interpretation:
286.92/297.94	 
286.92/297.94	[0](X) = 2.X + 1/2
286.92/297.94	[1](X) = X
286.92/297.94	[3](X) = X
286.92/297.94	[4](X) = X + 1/2
286.92/297.94	[2](X) = 1/2.X
286.92/297.94	[5](X) = X
286.92/297.94	[0#](X) = 2.X + 1
286.92/297.94	[1#](X) = X + 1/2
286.92/297.94	[3#](X) = X + 1/2
286.92/297.94	[4#](X) = X + 1
286.92/297.94	
286.92/297.94	Problem 1: 
286.92/297.94	
286.92/297.94	SCC Processor:
286.92/297.94	-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	->Strongly Connected Components:
286.92/297.94	->->Cycle:
286.92/297.94	->->-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	->->-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	
286.92/297.94	Problem 1: 
286.92/297.94	
286.92/297.94	Reduction Pair Processor:
286.92/297.94	-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(3(2(5(x1:S))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	-> Usable rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	->Interpretation type:
286.92/297.94	 Linear
286.92/297.94	->Coefficients:
286.92/297.94	 All rationals
286.92/297.94	->Dimension:
286.92/297.94	 1
286.92/297.94	->Bound:
286.92/297.94	 2
286.92/297.94	->Interpretation:
286.92/297.94	 
286.92/297.94	[0](X) = 2.X + 2
286.92/297.94	[1](X) = X
286.92/297.94	[3](X) = X
286.92/297.94	[4](X) = X + 2
286.92/297.94	[2](X) = 1/2.X
286.92/297.94	[5](X) = X + 1
286.92/297.94	[0#](X) = X + 2
286.92/297.94	[1#](X) = 1/2.X
286.92/297.94	[3#](X) = 1/2.X + 2
286.92/297.94	[4#](X) = 1/2.X + 2
286.92/297.94	
286.92/297.94	Problem 1: 
286.92/297.94	
286.92/297.94	SCC Processor:
286.92/297.94	-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.94	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.94	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.94	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.94	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.94	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.94	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.94	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.94	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	-> Rules:
286.92/297.94	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.94	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.94	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.94	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.94	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.94	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.94	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.94	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.94	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.94	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.94	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.94	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.94	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.94	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.94	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.94	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.94	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.94	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.94	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.94	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.94	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.94	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.94	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.94	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.94	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.94	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.94	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.94	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.94	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.94	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.94	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.94	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.94	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.94	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.94	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.94	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.94	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.94	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.94	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.94	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.94	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.94	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.94	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.94	->Strongly Connected Components:
286.92/297.94	->->Cycle:
286.92/297.94	->->-> Pairs:
286.92/297.94	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.94	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.94	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.94	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.94	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.94	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.94	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.94	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.94	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.94	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.94	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.94	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.94	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.94	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.94	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.94	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.94	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.94	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	->->-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	
286.92/297.95	Problem 1: 
286.92/297.95	
286.92/297.95	Reduction Pair Processor:
286.92/297.95	-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(0(5(5(3(x1:S))))) -> 0#(5(0(3(2(5(x1:S))))))
286.92/297.95	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	-> Usable rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	->Interpretation type:
286.92/297.95	 Linear
286.92/297.95	->Coefficients:
286.92/297.95	 All rationals
286.92/297.95	->Dimension:
286.92/297.95	 1
286.92/297.95	->Bound:
286.92/297.95	 2
286.92/297.95	->Interpretation:
286.92/297.95	 
286.92/297.95	[0](X) = 2.X + 1
286.92/297.95	[1](X) = X
286.92/297.95	[3](X) = X
286.92/297.95	[4](X) = X + 1
286.92/297.95	[2](X) = 1/2.X
286.92/297.95	[5](X) = X + 1/2
286.92/297.95	[0#](X) = 2.X + 1
286.92/297.95	[1#](X) = X
286.92/297.95	[3#](X) = X
286.92/297.95	[4#](X) = X
286.92/297.95	
286.92/297.95	Problem 1: 
286.92/297.95	
286.92/297.95	SCC Processor:
286.92/297.95	-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	->Strongly Connected Components:
286.92/297.95	->->Cycle:
286.92/297.95	->->-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	->->-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	
286.92/297.95	Problem 1: 
286.92/297.95	
286.92/297.95	Reduction Pair Processor:
286.92/297.95	-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(0(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	-> Usable rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	->Interpretation type:
286.92/297.95	 Linear
286.92/297.95	->Coefficients:
286.92/297.95	 All rationals
286.92/297.95	->Dimension:
286.92/297.95	 1
286.92/297.95	->Bound:
286.92/297.95	 2
286.92/297.95	->Interpretation:
286.92/297.95	 
286.92/297.95	[0](X) = 2.X + 2
286.92/297.95	[1](X) = X
286.92/297.95	[3](X) = X
286.92/297.95	[4](X) = X + 2
286.92/297.95	[2](X) = 1/2.X
286.92/297.95	[5](X) = X + 1
286.92/297.95	[0#](X) = 2.X + 2
286.92/297.95	[1#](X) = X
286.92/297.95	[3#](X) = X + 1
286.92/297.95	[4#](X) = X + 1/2
286.92/297.95	
286.92/297.95	Problem 1: 
286.92/297.95	
286.92/297.95	SCC Processor:
286.92/297.95	-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	->Strongly Connected Components:
286.92/297.95	->->Cycle:
286.92/297.95	->->-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	->->-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	
286.92/297.95	Problem 1: 
286.92/297.95	
286.92/297.95	Reduction Pair Processor:
286.92/297.95	-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	-> Usable rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	->Interpretation type:
286.92/297.95	 Linear
286.92/297.95	->Coefficients:
286.92/297.95	 All rationals
286.92/297.95	->Dimension:
286.92/297.95	 1
286.92/297.95	->Bound:
286.92/297.95	 2
286.92/297.95	->Interpretation:
286.92/297.95	 
286.92/297.95	[0](X) = 2.X + 2
286.92/297.95	[1](X) = X
286.92/297.95	[3](X) = X
286.92/297.95	[4](X) = X + 2
286.92/297.95	[2](X) = 1/2.X
286.92/297.95	[5](X) = X + 1
286.92/297.95	[0#](X) = X + 2
286.92/297.95	[1#](X) = 1/2.X
286.92/297.95	[3#](X) = 1/2.X + 2
286.92/297.95	[4#](X) = 1/2.X + 2
286.92/297.95	
286.92/297.95	Problem 1: 
286.92/297.95	
286.92/297.95	SCC Processor:
286.92/297.95	-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	->Strongly Connected Components:
286.92/297.95	->->Cycle:
286.92/297.95	->->-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	->->-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	
286.92/297.95	Problem 1: 
286.92/297.95	
286.92/297.95	Reduction Pair Processor:
286.92/297.95	-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 1#(0(3(0(x1:S))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	-> Usable rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	->Interpretation type:
286.92/297.95	 Linear
286.92/297.95	->Coefficients:
286.92/297.95	 All rationals
286.92/297.95	->Dimension:
286.92/297.95	 1
286.92/297.95	->Bound:
286.92/297.95	 2
286.92/297.95	->Interpretation:
286.92/297.95	 
286.92/297.95	[0](X) = 2.X + 1/2
286.92/297.95	[1](X) = X
286.92/297.95	[3](X) = X
286.92/297.95	[4](X) = X + 1/2
286.92/297.95	[2](X) = 1/2.X
286.92/297.95	[5](X) = X
286.92/297.95	[0#](X) = 2.X + 1
286.92/297.95	[1#](X) = X
286.92/297.95	[3#](X) = X + 1/2
286.92/297.95	[4#](X) = X + 1
286.92/297.95	
286.92/297.95	Problem 1: 
286.92/297.95	
286.92/297.95	SCC Processor:
286.92/297.95	-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	->Strongly Connected Components:
286.92/297.95	->->Cycle:
286.92/297.95	->->-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	->->-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	
286.92/297.95	Problem 1: 
286.92/297.95	
286.92/297.95	Reduction Pair Processor:
286.92/297.95	-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 3#(0(x1:S))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	-> Usable rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	->Interpretation type:
286.92/297.95	 Linear
286.92/297.95	->Coefficients:
286.92/297.95	 All rationals
286.92/297.95	->Dimension:
286.92/297.95	 1
286.92/297.95	->Bound:
286.92/297.95	 2
286.92/297.95	->Interpretation:
286.92/297.95	 
286.92/297.95	[0](X) = 2.X + 2
286.92/297.95	[1](X) = X
286.92/297.95	[3](X) = X
286.92/297.95	[4](X) = X + 2
286.92/297.95	[2](X) = 1/2.X
286.92/297.95	[5](X) = X
286.92/297.95	[0#](X) = 2.X + 2
286.92/297.95	[1#](X) = X
286.92/297.95	[3#](X) = X
286.92/297.95	[4#](X) = X + 2
286.92/297.95	
286.92/297.95	Problem 1: 
286.92/297.95	
286.92/297.95	SCC Processor:
286.92/297.95	-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.95	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.95	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.95	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.95	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.95	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.95	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.95	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.95	->Strongly Connected Components:
286.92/297.95	->->Cycle:
286.92/297.95	->->-> Pairs:
286.92/297.95	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.95	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.95	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.95	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.95	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.95	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.95	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.95	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.95	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.95	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.95	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.95	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.95	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.95	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.95	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.95	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.95	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.95	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.95	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.95	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.95	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.95	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.95	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.95	->->-> Rules:
286.92/297.95	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.95	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.95	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.95	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.95	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.95	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.95	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.95	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.95	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.95	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.95	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.95	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.95	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.95	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.95	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.95	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.95	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.95	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.95	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.95	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.95	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.95	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.95	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.95	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.95	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.95	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.95	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.95	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.95	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.95	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.95	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.95	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.95	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.95	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.95	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.95	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	Reduction Pair Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(1(0(x1:S)))) -> 1#(0(0(1(2(x1:S)))))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.96	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	-> Usable rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	->Interpretation type:
286.92/297.96	 Linear
286.92/297.96	->Coefficients:
286.92/297.96	 All rationals
286.92/297.96	->Dimension:
286.92/297.96	 1
286.92/297.96	->Bound:
286.92/297.96	 2
286.92/297.96	->Interpretation:
286.92/297.96	 
286.92/297.96	[0](X) = 2.X + 2
286.92/297.96	[1](X) = X
286.92/297.96	[3](X) = X
286.92/297.96	[4](X) = X + 2
286.92/297.96	[2](X) = 1/2.X
286.92/297.96	[5](X) = X + 1/2
286.92/297.96	[0#](X) = X + 2
286.92/297.96	[1#](X) = 1/2.X
286.92/297.96	[3#](X) = 1/2.X + 1
286.92/297.96	[4#](X) = 1/2.X + 2
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	SCC Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.96	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	->Strongly Connected Components:
286.92/297.96	->->Cycle:
286.92/297.96	->->-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.96	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	->->-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	Reduction Pair Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(1(3(x1:S))) -> 1#(0(x1:S))
286.92/297.96	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	-> Usable rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	->Interpretation type:
286.92/297.96	 Linear
286.92/297.96	->Coefficients:
286.92/297.96	 All rationals
286.92/297.96	->Dimension:
286.92/297.96	 1
286.92/297.96	->Bound:
286.92/297.96	 2
286.92/297.96	->Interpretation:
286.92/297.96	 
286.92/297.96	[0](X) = 2.X + 1
286.92/297.96	[1](X) = X
286.92/297.96	[3](X) = X
286.92/297.96	[4](X) = X + 1
286.92/297.96	[2](X) = 1/2.X
286.92/297.96	[5](X) = X + 1/2
286.92/297.96	[0#](X) = X + 1
286.92/297.96	[1#](X) = 1/2.X
286.92/297.96	[3#](X) = 1/2.X + 1/2
286.92/297.96	[4#](X) = 1/2.X + 1/2
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	SCC Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	->Strongly Connected Components:
286.92/297.96	->->Cycle:
286.92/297.96	->->-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	->->-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	Reduction Pair Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(3(0(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	-> Usable rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	->Interpretation type:
286.92/297.96	 Linear
286.92/297.96	->Coefficients:
286.92/297.96	 All rationals
286.92/297.96	->Dimension:
286.92/297.96	 1
286.92/297.96	->Bound:
286.92/297.96	 2
286.92/297.96	->Interpretation:
286.92/297.96	 
286.92/297.96	[0](X) = 2.X + 2
286.92/297.96	[1](X) = X
286.92/297.96	[3](X) = X
286.92/297.96	[4](X) = X + 2
286.92/297.96	[2](X) = 1/2.X
286.92/297.96	[5](X) = X
286.92/297.96	[0#](X) = 2.X + 2
286.92/297.96	[1#](X) = 2.X + 2
286.92/297.96	[3#](X) = X + 1
286.92/297.96	[4#](X) = X + 2
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	SCC Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	->Strongly Connected Components:
286.92/297.96	->->Cycle:
286.92/297.96	->->-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	->->-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	Reduction Pair Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(3(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	-> Usable rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	->Interpretation type:
286.92/297.96	 Linear
286.92/297.96	->Coefficients:
286.92/297.96	 All rationals
286.92/297.96	->Dimension:
286.92/297.96	 1
286.92/297.96	->Bound:
286.92/297.96	 2
286.92/297.96	->Interpretation:
286.92/297.96	 
286.92/297.96	[0](X) = 2.X + 1/2
286.92/297.96	[1](X) = X
286.92/297.96	[3](X) = X
286.92/297.96	[4](X) = X + 1/2
286.92/297.96	[2](X) = 1/2.X
286.92/297.96	[5](X) = X
286.92/297.96	[0#](X) = 2.X + 1
286.92/297.96	[1#](X) = 2.X + 1
286.92/297.96	[3#](X) = X + 1/2
286.92/297.96	[4#](X) = X + 1
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	SCC Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	->Strongly Connected Components:
286.92/297.96	->->Cycle:
286.92/297.96	->->-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	->->-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	Reduction Pair Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(3(x1:S)) -> 1#(3(x1:S))
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	-> Usable rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	->Interpretation type:
286.92/297.96	 Linear
286.92/297.96	->Coefficients:
286.92/297.96	 All rationals
286.92/297.96	->Dimension:
286.92/297.96	 1
286.92/297.96	->Bound:
286.92/297.96	 2
286.92/297.96	->Interpretation:
286.92/297.96	 
286.92/297.96	[0](X) = 2.X + 2
286.92/297.96	[1](X) = X
286.92/297.96	[3](X) = X
286.92/297.96	[4](X) = X + 2
286.92/297.96	[2](X) = 1/2.X
286.92/297.96	[5](X) = X
286.92/297.96	[0#](X) = X + 1
286.92/297.96	[1#](X) = 1/2.X + 1/2
286.92/297.96	[3#](X) = 1/2.X
286.92/297.96	[4#](X) = 1/2.X + 1/2
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	SCC Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	->Strongly Connected Components:
286.92/297.96	->->Cycle:
286.92/297.96	->->-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	->->-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	
286.92/297.96	Problem 1: 
286.92/297.96	
286.92/297.96	Reduction Pair Processor:
286.92/297.96	-> Pairs:
286.92/297.96	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.96	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.96	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(0(0(x1:S)))) -> 1#(0(x1:S))
286.92/297.96	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.96	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.96	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.96	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.96	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.96	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.96	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.96	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.96	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.96	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.96	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.96	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.96	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.96	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.96	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.96	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.96	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.96	-> Rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.96	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.96	-> Usable rules:
286.92/297.96	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.96	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.96	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.96	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.96	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.96	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.96	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.96	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.96	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.96	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.96	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.96	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.96	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.96	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.96	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.96	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.96	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.96	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.96	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.96	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.96	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.96	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.96	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.96	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.96	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.96	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.96	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.96	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.96	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.96	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.96	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.96	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.96	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.96	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.96	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.96	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.96	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.96	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.96	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.96	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.96	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.96	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Interpretation type:
286.92/297.97	 Linear
286.92/297.97	->Coefficients:
286.92/297.97	 All rationals
286.92/297.97	->Dimension:
286.92/297.97	 1
286.92/297.97	->Bound:
286.92/297.97	 2
286.92/297.97	->Interpretation:
286.92/297.97	 
286.92/297.97	[0](X) = 2.X + 1/2
286.92/297.97	[1](X) = X
286.92/297.97	[3](X) = X
286.92/297.97	[4](X) = X + 1/2
286.92/297.97	[2](X) = 1/2.X
286.92/297.97	[5](X) = X
286.92/297.97	[0#](X) = 2.X + 1
286.92/297.97	[1#](X) = X
286.92/297.97	[3#](X) = X + 1/2
286.92/297.97	[4#](X) = X + 1
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	SCC Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Strongly Connected Components:
286.92/297.97	->->Cycle:
286.92/297.97	->->-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	->->-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	Reduction Pair Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(1(3(x1:S)))) -> 0#(3(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	-> Usable rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Interpretation type:
286.92/297.97	 Linear
286.92/297.97	->Coefficients:
286.92/297.97	 All rationals
286.92/297.97	->Dimension:
286.92/297.97	 1
286.92/297.97	->Bound:
286.92/297.97	 2
286.92/297.97	->Interpretation:
286.92/297.97	 
286.92/297.97	[0](X) = 2.X + 1/2
286.92/297.97	[1](X) = X
286.92/297.97	[3](X) = X
286.92/297.97	[4](X) = X + 1/2
286.92/297.97	[2](X) = 1/2.X
286.92/297.97	[5](X) = X
286.92/297.97	[0#](X) = 2.X + 1/2
286.92/297.97	[1#](X) = 2.X
286.92/297.97	[3#](X) = X
286.92/297.97	[4#](X) = X + 1/2
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	SCC Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Strongly Connected Components:
286.92/297.97	->->Cycle:
286.92/297.97	->->-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	->->-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	Reduction Pair Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	-> Usable rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Interpretation type:
286.92/297.97	 Linear
286.92/297.97	->Coefficients:
286.92/297.97	 All rationals
286.92/297.97	->Dimension:
286.92/297.97	 1
286.92/297.97	->Bound:
286.92/297.97	 2
286.92/297.97	->Interpretation:
286.92/297.97	 
286.92/297.97	[0](X) = 2.X + 2
286.92/297.97	[1](X) = X
286.92/297.97	[3](X) = X
286.92/297.97	[4](X) = X + 2
286.92/297.97	[2](X) = 1/2.X
286.92/297.97	[5](X) = X + 1/2
286.92/297.97	[0#](X) = X + 2
286.92/297.97	[1#](X) = 1/2.X + 1
286.92/297.97	[3#](X) = 1/2.X + 2
286.92/297.97	[4#](X) = 1/2.X + 2
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	SCC Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Strongly Connected Components:
286.92/297.97	->->Cycle:
286.92/297.97	->->-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	->->-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	Reduction Pair Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 1#(3(4(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	-> Usable rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Interpretation type:
286.92/297.97	 Linear
286.92/297.97	->Coefficients:
286.92/297.97	 All rationals
286.92/297.97	->Dimension:
286.92/297.97	 1
286.92/297.97	->Bound:
286.92/297.97	 2
286.92/297.97	->Interpretation:
286.92/297.97	 
286.92/297.97	[0](X) = 2.X + 2
286.92/297.97	[1](X) = X
286.92/297.97	[3](X) = X
286.92/297.97	[4](X) = X + 2
286.92/297.97	[2](X) = 1/2.X
286.92/297.97	[5](X) = X + 1/2
286.92/297.97	[0#](X) = X + 2
286.92/297.97	[1#](X) = X + 1
286.92/297.97	[3#](X) = 1/2.X + 1
286.92/297.97	[4#](X) = 1/2.X + 1
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	SCC Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Strongly Connected Components:
286.92/297.97	->->Cycle:
286.92/297.97	->->-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	->->-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	Reduction Pair Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	-> Usable rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Interpretation type:
286.92/297.97	 Linear
286.92/297.97	->Coefficients:
286.92/297.97	 All rationals
286.92/297.97	->Dimension:
286.92/297.97	 1
286.92/297.97	->Bound:
286.92/297.97	 2
286.92/297.97	->Interpretation:
286.92/297.97	 
286.92/297.97	[0](X) = 2.X + 2
286.92/297.97	[1](X) = X
286.92/297.97	[3](X) = X
286.92/297.97	[4](X) = X + 2
286.92/297.97	[2](X) = 1/2.X
286.92/297.97	[5](X) = X + 1/2
286.92/297.97	[0#](X) = 2.X + 2
286.92/297.97	[1#](X) = 2.X + 1/2
286.92/297.97	[3#](X) = X + 1
286.92/297.97	[4#](X) = X + 2
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	SCC Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Strongly Connected Components:
286.92/297.97	->->Cycle:
286.92/297.97	->->-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	->->-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	Reduction Pair Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 3#(4(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	-> Usable rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Interpretation type:
286.92/297.97	 Linear
286.92/297.97	->Coefficients:
286.92/297.97	 All rationals
286.92/297.97	->Dimension:
286.92/297.97	 1
286.92/297.97	->Bound:
286.92/297.97	 2
286.92/297.97	->Interpretation:
286.92/297.97	 
286.92/297.97	[0](X) = 2.X + 2
286.92/297.97	[1](X) = X
286.92/297.97	[3](X) = X
286.92/297.97	[4](X) = X + 2
286.92/297.97	[2](X) = 1/2.X
286.92/297.97	[5](X) = X + 1/2
286.92/297.97	[0#](X) = X + 2
286.92/297.97	[1#](X) = X
286.92/297.97	[3#](X) = 1/2.X + 1
286.92/297.97	[4#](X) = 1/2.X + 2
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	SCC Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	->Strongly Connected Components:
286.92/297.97	->->Cycle:
286.92/297.97	->->-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.97	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.97	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.97	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.97	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.97	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.97	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.97	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.97	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.97	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.97	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.97	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.97	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.97	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.97	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.97	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.97	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.97	->->-> Rules:
286.92/297.97	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.97	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.97	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.97	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.97	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.97	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.97	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.97	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.97	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.97	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.97	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.97	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.97	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.97	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.97	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.97	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.97	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.97	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.97	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.97	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.97	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.97	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.97	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.97	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.97	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.97	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.97	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.97	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.97	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.97	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.97	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.97	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.97	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.97	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.97	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.97	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.97	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.97	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.97	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.97	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.97	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.97	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.97	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.97	
286.92/297.97	Problem 1: 
286.92/297.97	
286.92/297.97	Reduction Pair Processor:
286.92/297.97	-> Pairs:
286.92/297.97	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.97	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.97	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.97	 0#(4(3(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.98	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	-> Usable rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Interpretation type:
286.92/297.98	 Linear
286.92/297.98	->Coefficients:
286.92/297.98	 All rationals
286.92/297.98	->Dimension:
286.92/297.98	 1
286.92/297.98	->Bound:
286.92/297.98	 2
286.92/297.98	->Interpretation:
286.92/297.98	 
286.92/297.98	[0](X) = 2.X + 1
286.92/297.98	[1](X) = X
286.92/297.98	[3](X) = X
286.92/297.98	[4](X) = X + 1
286.92/297.98	[2](X) = 1/2.X
286.92/297.98	[5](X) = X
286.92/297.98	[0#](X) = 2.X + 1/2
286.92/297.98	[1#](X) = 2.X + 1/2
286.92/297.98	[3#](X) = X
286.92/297.98	[4#](X) = X + 1/2
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	SCC Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.98	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Strongly Connected Components:
286.92/297.98	->->Cycle:
286.92/297.98	->->-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.98	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	->->-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	Reduction Pair Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(3(x1:S))) -> 4#(3(4(0(x1:S))))
286.92/297.98	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	-> Usable rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Interpretation type:
286.92/297.98	 Linear
286.92/297.98	->Coefficients:
286.92/297.98	 All rationals
286.92/297.98	->Dimension:
286.92/297.98	 1
286.92/297.98	->Bound:
286.92/297.98	 2
286.92/297.98	->Interpretation:
286.92/297.98	 
286.92/297.98	[0](X) = 2.X + 2
286.92/297.98	[1](X) = X
286.92/297.98	[3](X) = X
286.92/297.98	[4](X) = X + 2
286.92/297.98	[2](X) = 1/2.X
286.92/297.98	[5](X) = X + 1/2
286.92/297.98	[0#](X) = X + 1
286.92/297.98	[1#](X) = X + 1
286.92/297.98	[3#](X) = 1/2.X
286.92/297.98	[4#](X) = 1/2.X
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	SCC Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Strongly Connected Components:
286.92/297.98	->->Cycle:
286.92/297.98	->->-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	->->-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	Reduction Pair Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(3(x1:S))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	-> Usable rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Interpretation type:
286.92/297.98	 Linear
286.92/297.98	->Coefficients:
286.92/297.98	 All rationals
286.92/297.98	->Dimension:
286.92/297.98	 1
286.92/297.98	->Bound:
286.92/297.98	 2
286.92/297.98	->Interpretation:
286.92/297.98	 
286.92/297.98	[0](X) = 2.X + 2
286.92/297.98	[1](X) = X
286.92/297.98	[3](X) = X
286.92/297.98	[4](X) = X + 2
286.92/297.98	[2](X) = 1/2.X
286.92/297.98	[5](X) = X + 1
286.92/297.98	[0#](X) = X + 2
286.92/297.98	[1#](X) = X + 2
286.92/297.98	[3#](X) = X
286.92/297.98	[4#](X) = 1/2.X + 2
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	SCC Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Strongly Connected Components:
286.92/297.98	->->Cycle:
286.92/297.98	->->-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	->->-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	Reduction Pair Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	-> Usable rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Interpretation type:
286.92/297.98	 Linear
286.92/297.98	->Coefficients:
286.92/297.98	 All rationals
286.92/297.98	->Dimension:
286.92/297.98	 1
286.92/297.98	->Bound:
286.92/297.98	 2
286.92/297.98	->Interpretation:
286.92/297.98	 
286.92/297.98	[0](X) = 2.X + 1/2
286.92/297.98	[1](X) = X
286.92/297.98	[3](X) = X
286.92/297.98	[4](X) = X + 1/2
286.92/297.98	[2](X) = 1/2.X
286.92/297.98	[5](X) = X
286.92/297.98	[0#](X) = 2.X + 1/2
286.92/297.98	[1#](X) = 2.X + 1/2
286.92/297.98	[3#](X) = X
286.92/297.98	[4#](X) = X + 1/2
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	SCC Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Strongly Connected Components:
286.92/297.98	->->Cycle:
286.92/297.98	->->-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	->->-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	Reduction Pair Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 3#(5(0(2(4(x1:S)))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	-> Usable rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Interpretation type:
286.92/297.98	 Linear
286.92/297.98	->Coefficients:
286.92/297.98	 All rationals
286.92/297.98	->Dimension:
286.92/297.98	 1
286.92/297.98	->Bound:
286.92/297.98	 2
286.92/297.98	->Interpretation:
286.92/297.98	 
286.92/297.98	[0](X) = 2.X + 2
286.92/297.98	[1](X) = X
286.92/297.98	[3](X) = X
286.92/297.98	[4](X) = X + 2
286.92/297.98	[2](X) = 1/2.X
286.92/297.98	[5](X) = X + 1
286.92/297.98	[0#](X) = X + 1
286.92/297.98	[1#](X) = 1/2.X
286.92/297.98	[3#](X) = 1/2.X
286.92/297.98	[4#](X) = 1/2.X + 1
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	SCC Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Strongly Connected Components:
286.92/297.98	->->Cycle:
286.92/297.98	->->-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	->->-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	Reduction Pair Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(3(5(0(2(4(x1:S))))))
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.92/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.92/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.92/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.92/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.92/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	-> Rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	-> Usable rules:
286.92/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.92/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.92/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.92/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.92/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.92/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.92/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.92/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.92/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.92/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.92/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.92/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.92/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.92/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.92/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.92/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.92/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.92/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.92/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.92/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.92/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.92/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.92/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.92/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.92/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.92/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.92/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.92/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.92/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.92/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.92/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.92/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.92/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.92/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.92/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.92/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.92/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.92/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.92/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.92/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.92/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.92/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.92/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.92/297.98	->Interpretation type:
286.92/297.98	 Linear
286.92/297.98	->Coefficients:
286.92/297.98	 All rationals
286.92/297.98	->Dimension:
286.92/297.98	 1
286.92/297.98	->Bound:
286.92/297.98	 2
286.92/297.98	->Interpretation:
286.92/297.98	 
286.92/297.98	[0](X) = 2.X + 2
286.92/297.98	[1](X) = X
286.92/297.98	[3](X) = X
286.92/297.98	[4](X) = X + 2
286.92/297.98	[2](X) = 1/2.X
286.92/297.98	[5](X) = X
286.92/297.98	[0#](X) = 2.X + 2
286.92/297.98	[1#](X) = X + 1/2
286.92/297.98	[3#](X) = X
286.92/297.98	[4#](X) = X + 1
286.92/297.98	
286.92/297.98	Problem 1: 
286.92/297.98	
286.92/297.98	SCC Processor:
286.92/297.98	-> Pairs:
286.92/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.92/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.92/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.92/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.92/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.92/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.92/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.92/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.92/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.92/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.92/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.98	-> Rules:
286.96/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.98	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.98	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.98	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.98	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.98	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.98	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.98	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.98	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.98	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.98	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.98	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.98	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.98	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.98	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.98	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.98	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.98	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.98	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.98	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.98	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.98	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.98	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.98	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.98	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.98	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.98	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.98	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.98	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.98	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.98	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.98	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.98	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.98	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.98	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.98	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.98	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.98	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.98	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.98	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.98	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.98	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.98	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.98	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.98	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.98	->Strongly Connected Components:
286.96/297.98	->->Cycle:
286.96/297.98	->->-> Pairs:
286.96/297.98	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.98	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.98	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.98	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.96/297.98	 0#(4(5(x1:S))) -> 0#(x1:S)
286.96/297.98	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.96/297.98	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.98	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.98	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.98	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.98	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.98	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.98	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.98	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.98	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.98	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.98	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.98	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.98	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.98	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.98	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.98	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.98	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.98	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.98	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.98	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.98	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.98	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.98	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.98	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.98	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.98	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.98	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.98	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.98	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.98	->->-> Rules:
286.96/297.98	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.98	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.98	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.98	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.98	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.98	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	
286.96/297.99	Problem 1: 
286.96/297.99	
286.96/297.99	Reduction Pair Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(3(x1:S)))) -> 4#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	-> Usable rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Interpretation type:
286.96/297.99	 Linear
286.96/297.99	->Coefficients:
286.96/297.99	 All rationals
286.96/297.99	->Dimension:
286.96/297.99	 1
286.96/297.99	->Bound:
286.96/297.99	 2
286.96/297.99	->Interpretation:
286.96/297.99	 
286.96/297.99	[0](X) = 2.X + 1/2
286.96/297.99	[1](X) = X
286.96/297.99	[3](X) = X
286.96/297.99	[4](X) = X + 1/2
286.96/297.99	[2](X) = 1/2.X
286.96/297.99	[5](X) = X
286.96/297.99	[0#](X) = X + 1
286.96/297.99	[1#](X) = 1/2.X + 1/2
286.96/297.99	[3#](X) = X + 1/2
286.96/297.99	[4#](X) = 1/2.X + 1
286.96/297.99	
286.96/297.99	Problem 1: 
286.96/297.99	
286.96/297.99	SCC Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Strongly Connected Components:
286.96/297.99	->->Cycle:
286.96/297.99	->->-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	->->-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	
286.96/297.99	Problem 1: 
286.96/297.99	
286.96/297.99	Reduction Pair Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	-> Usable rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Interpretation type:
286.96/297.99	 Linear
286.96/297.99	->Coefficients:
286.96/297.99	 All rationals
286.96/297.99	->Dimension:
286.96/297.99	 1
286.96/297.99	->Bound:
286.96/297.99	 2
286.96/297.99	->Interpretation:
286.96/297.99	 
286.96/297.99	[0](X) = 2.X + 1/2
286.96/297.99	[1](X) = X
286.96/297.99	[3](X) = X
286.96/297.99	[4](X) = X + 1/2
286.96/297.99	[2](X) = 1/2.X
286.96/297.99	[5](X) = X
286.96/297.99	[0#](X) = X + 1
286.96/297.99	[1#](X) = 1/2.X + 1/2
286.96/297.99	[3#](X) = X + 1/2
286.96/297.99	[4#](X) = 1/2.X + 1
286.96/297.99	
286.96/297.99	Problem 1: 
286.96/297.99	
286.96/297.99	SCC Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Strongly Connected Components:
286.96/297.99	->->Cycle:
286.96/297.99	->->-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	->->-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	
286.96/297.99	Problem 1: 
286.96/297.99	
286.96/297.99	Reduction Pair Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	-> Usable rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Interpretation type:
286.96/297.99	 Linear
286.96/297.99	->Coefficients:
286.96/297.99	 All rationals
286.96/297.99	->Dimension:
286.96/297.99	 1
286.96/297.99	->Bound:
286.96/297.99	 2
286.96/297.99	->Interpretation:
286.96/297.99	 
286.96/297.99	[0](X) = 2.X + 2
286.96/297.99	[1](X) = X
286.96/297.99	[3](X) = X
286.96/297.99	[4](X) = X + 2
286.96/297.99	[2](X) = 1/2.X
286.96/297.99	[5](X) = X + 1
286.96/297.99	[0#](X) = X
286.96/297.99	[1#](X) = X + 2
286.96/297.99	[3#](X) = 1/2.X + 1/2
286.96/297.99	[4#](X) = 1/2.X
286.96/297.99	
286.96/297.99	Problem 1: 
286.96/297.99	
286.96/297.99	SCC Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Strongly Connected Components:
286.96/297.99	->->Cycle:
286.96/297.99	->->-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	->->-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	
286.96/297.99	Problem 1: 
286.96/297.99	
286.96/297.99	Reduction Pair Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(4(5(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	-> Usable rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Interpretation type:
286.96/297.99	 Linear
286.96/297.99	->Coefficients:
286.96/297.99	 All rationals
286.96/297.99	->Dimension:
286.96/297.99	 1
286.96/297.99	->Bound:
286.96/297.99	 2
286.96/297.99	->Interpretation:
286.96/297.99	 
286.96/297.99	[0](X) = 2.X + 1
286.96/297.99	[1](X) = X
286.96/297.99	[3](X) = X
286.96/297.99	[4](X) = X + 1
286.96/297.99	[2](X) = 1/2.X
286.96/297.99	[5](X) = X + 1/2
286.96/297.99	[0#](X) = 2.X + 1
286.96/297.99	[1#](X) = 2.X
286.96/297.99	[3#](X) = 2.X
286.96/297.99	[4#](X) = X + 1
286.96/297.99	
286.96/297.99	Problem 1: 
286.96/297.99	
286.96/297.99	SCC Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Strongly Connected Components:
286.96/297.99	->->Cycle:
286.96/297.99	->->-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	->->-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	
286.96/297.99	Problem 1: 
286.96/297.99	
286.96/297.99	Reduction Pair Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(0(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	-> Usable rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Interpretation type:
286.96/297.99	 Linear
286.96/297.99	->Coefficients:
286.96/297.99	 All rationals
286.96/297.99	->Dimension:
286.96/297.99	 1
286.96/297.99	->Bound:
286.96/297.99	 2
286.96/297.99	->Interpretation:
286.96/297.99	 
286.96/297.99	[0](X) = 2.X + 2
286.96/297.99	[1](X) = X
286.96/297.99	[3](X) = X
286.96/297.99	[4](X) = X + 2
286.96/297.99	[2](X) = 1/2.X
286.96/297.99	[5](X) = X + 1/2
286.96/297.99	[0#](X) = 1/2.X + 2
286.96/297.99	[1#](X) = X + 2
286.96/297.99	[3#](X) = 1/2.X + 1
286.96/297.99	[4#](X) = 1/2.X + 2
286.96/297.99	
286.96/297.99	Problem 1: 
286.96/297.99	
286.96/297.99	SCC Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 0#(3(4(2(4(x1:S)))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(3(x1:S))
286.96/297.99	 3#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 0#(3(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 0#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 0#(x1:S)
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Strongly Connected Components:
286.96/297.99	->->Cycle:
286.96/297.99	->->-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	->->-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->->Cycle:
286.96/297.99	->->-> Pairs:
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/297.99	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/297.99	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/297.99	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/297.99	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/297.99	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/297.99	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/297.99	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/297.99	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/297.99	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/297.99	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/297.99	->->-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	
286.96/297.99	
286.96/297.99	The problem is decomposed in 2 subproblems.
286.96/297.99	
286.96/297.99	Problem 1.1: 
286.96/297.99	
286.96/297.99	Reduction Pair Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(0(3(x1:S)))) -> 0#(3(0(x1:S)))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	-> Usable rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Interpretation type:
286.96/297.99	 Linear
286.96/297.99	->Coefficients:
286.96/297.99	 Natural Numbers
286.96/297.99	->Dimension:
286.96/297.99	 1
286.96/297.99	->Bound:
286.96/297.99	 2
286.96/297.99	->Interpretation:
286.96/297.99	 
286.96/297.99	[0](X) = 2.X + 1
286.96/297.99	[1](X) = X
286.96/297.99	[3](X) = 2.X + 2
286.96/297.99	[4](X) = 2.X + 2
286.96/297.99	[2](X) = 0
286.96/297.99	[5](X) = 2.X + 2
286.96/297.99	[0#](X) = 2.X
286.96/297.99	
286.96/297.99	Problem 1.1: 
286.96/297.99	
286.96/297.99	SCC Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	->Strongly Connected Components:
286.96/297.99	->->Cycle:
286.96/297.99	->->-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	->->-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/297.99	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/297.99	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/297.99	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/297.99	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/297.99	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/297.99	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/297.99	
286.96/297.99	Problem 1.1: 
286.96/297.99	
286.96/297.99	Reduction Pair Processor:
286.96/297.99	-> Pairs:
286.96/297.99	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/297.99	 0#(1(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/297.99	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/297.99	-> Rules:
286.96/297.99	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/297.99	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/297.99	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/297.99	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/297.99	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/297.99	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/297.99	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/297.99	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/297.99	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/297.99	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/297.99	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/297.99	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/297.99	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/297.99	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/297.99	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/297.99	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/297.99	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/297.99	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/297.99	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/297.99	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/297.99	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/297.99	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/297.99	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/297.99	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/297.99	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/297.99	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/297.99	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/297.99	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/297.99	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/297.99	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/297.99	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/297.99	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/297.99	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/297.99	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/297.99	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/297.99	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/297.99	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	-> Usable rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Interpretation type:
286.96/298.00	 Linear
286.96/298.00	->Coefficients:
286.96/298.00	 Natural Numbers
286.96/298.00	->Dimension:
286.96/298.00	 1
286.96/298.00	->Bound:
286.96/298.00	 2
286.96/298.00	->Interpretation:
286.96/298.00	 
286.96/298.00	[0](X) = 2.X + 1
286.96/298.00	[1](X) = X
286.96/298.00	[3](X) = 2.X + 2
286.96/298.00	[4](X) = X + 2
286.96/298.00	[2](X) = 0
286.96/298.00	[5](X) = 2.X + 1
286.96/298.00	[0#](X) = 2.X
286.96/298.00	
286.96/298.00	Problem 1.1: 
286.96/298.00	
286.96/298.00	SCC Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/298.00	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/298.00	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Strongly Connected Components:
286.96/298.00	->->Cycle:
286.96/298.00	->->-> Pairs:
286.96/298.00	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/298.00	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/298.00	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/298.00	->->-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	
286.96/298.00	Problem 1.1: 
286.96/298.00	
286.96/298.00	Reduction Pair Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/298.00	 0#(5(3(x1:S))) -> 0#(x1:S)
286.96/298.00	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	-> Usable rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Interpretation type:
286.96/298.00	 Linear
286.96/298.00	->Coefficients:
286.96/298.00	 Natural Numbers
286.96/298.00	->Dimension:
286.96/298.00	 1
286.96/298.00	->Bound:
286.96/298.00	 2
286.96/298.00	->Interpretation:
286.96/298.00	 
286.96/298.00	[0](X) = 2.X
286.96/298.00	[1](X) = X
286.96/298.00	[3](X) = 2.X
286.96/298.00	[4](X) = 2.X + 2
286.96/298.00	[2](X) = 0
286.96/298.00	[5](X) = X + 2
286.96/298.00	[0#](X) = X
286.96/298.00	
286.96/298.00	Problem 1.1: 
286.96/298.00	
286.96/298.00	SCC Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/298.00	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Strongly Connected Components:
286.96/298.00	->->Cycle:
286.96/298.00	->->-> Pairs:
286.96/298.00	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/298.00	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/298.00	->->-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	
286.96/298.00	Problem 1.1: 
286.96/298.00	
286.96/298.00	Reduction Pair Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/298.00	 0#(5(5(3(x1:S)))) -> 0#(x1:S)
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	-> Usable rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Interpretation type:
286.96/298.00	 Linear
286.96/298.00	->Coefficients:
286.96/298.00	 Natural Numbers
286.96/298.00	->Dimension:
286.96/298.00	 1
286.96/298.00	->Bound:
286.96/298.00	 2
286.96/298.00	->Interpretation:
286.96/298.00	 
286.96/298.00	[0](X) = 2.X
286.96/298.00	[1](X) = X
286.96/298.00	[3](X) = 2.X + 2
286.96/298.00	[4](X) = 2.X + 1
286.96/298.00	[2](X) = 0
286.96/298.00	[5](X) = X + 1
286.96/298.00	[0#](X) = 2.X
286.96/298.00	
286.96/298.00	Problem 1.1: 
286.96/298.00	
286.96/298.00	SCC Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Strongly Connected Components:
286.96/298.00	->->Cycle:
286.96/298.00	->->-> Pairs:
286.96/298.00	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/298.00	->->-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	
286.96/298.00	Problem 1.1: 
286.96/298.00	
286.96/298.00	Reduction Pair Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 0#(0(1(0(4(x1:S))))) -> 0#(0(0(1(4(2(x1:S))))))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	-> Usable rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Interpretation type:
286.96/298.00	 Linear
286.96/298.00	->Coefficients:
286.96/298.00	 Natural Numbers
286.96/298.00	->Dimension:
286.96/298.00	 1
286.96/298.00	->Bound:
286.96/298.00	 2
286.96/298.00	->Interpretation:
286.96/298.00	 
286.96/298.00	[0](X) = 2.X + 2
286.96/298.00	[1](X) = 2.X + 1
286.96/298.00	[3](X) = 2.X
286.96/298.00	[4](X) = 2.X + 2
286.96/298.00	[2](X) = 0
286.96/298.00	[5](X) = 2
286.96/298.00	[0#](X) = 2.X
286.96/298.00	
286.96/298.00	Problem 1.1: 
286.96/298.00	
286.96/298.00	SCC Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 Empty
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Strongly Connected Components:
286.96/298.00	 There is no strongly connected component
286.96/298.00	
286.96/298.00	The problem is finite.
286.96/298.00	
286.96/298.00	Problem 1.2: 
286.96/298.00	
286.96/298.00	Reduction Pair Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 1#(0(4(x1:S))) -> 1#(4(0(x1:S)))
286.96/298.00	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/298.00	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	-> Usable rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Interpretation type:
286.96/298.00	 Linear
286.96/298.00	->Coefficients:
286.96/298.00	 All rationals
286.96/298.00	->Dimension:
286.96/298.00	 1
286.96/298.00	->Bound:
286.96/298.00	 2
286.96/298.00	->Interpretation:
286.96/298.00	 
286.96/298.00	[0](X) = 2.X + 2
286.96/298.00	[1](X) = X
286.96/298.00	[3](X) = X
286.96/298.00	[4](X) = X + 2
286.96/298.00	[2](X) = 1/2.X
286.96/298.00	[5](X) = X + 1
286.96/298.00	[1#](X) = 2.X + 1/2
286.96/298.00	[3#](X) = 2.X + 2
286.96/298.00	[4#](X) = 2.X
286.96/298.00	
286.96/298.00	Problem 1.2: 
286.96/298.00	
286.96/298.00	SCC Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/298.00	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Strongly Connected Components:
286.96/298.00	->->Cycle:
286.96/298.00	->->-> Pairs:
286.96/298.00	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/298.00	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	->->-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	
286.96/298.00	Problem 1.2: 
286.96/298.00	
286.96/298.00	Reduction Pair Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 1#(0(4(x1:S))) -> 1#(4(x1:S))
286.96/298.00	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	-> Usable rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Interpretation type:
286.96/298.00	 Linear
286.96/298.00	->Coefficients:
286.96/298.00	 All rationals
286.96/298.00	->Dimension:
286.96/298.00	 1
286.96/298.00	->Bound:
286.96/298.00	 2
286.96/298.00	->Interpretation:
286.96/298.00	 
286.96/298.00	[0](X) = 2.X + 2
286.96/298.00	[1](X) = X
286.96/298.00	[3](X) = X
286.96/298.00	[4](X) = X + 2
286.96/298.00	[2](X) = 1/2.X
286.96/298.00	[5](X) = X + 1
286.96/298.00	[1#](X) = X + 2
286.96/298.00	[3#](X) = X
286.96/298.00	[4#](X) = X + 1/2
286.96/298.00	
286.96/298.00	Problem 1.2: 
286.96/298.00	
286.96/298.00	SCC Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Strongly Connected Components:
286.96/298.00	->->Cycle:
286.96/298.00	->->-> Pairs:
286.96/298.00	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	->->-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	
286.96/298.00	Problem 1.2: 
286.96/298.00	
286.96/298.00	Reduction Pair Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 1#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	-> Usable rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Interpretation type:
286.96/298.00	 Linear
286.96/298.00	->Coefficients:
286.96/298.00	 All rationals
286.96/298.00	->Dimension:
286.96/298.00	 1
286.96/298.00	->Bound:
286.96/298.00	 2
286.96/298.00	->Interpretation:
286.96/298.00	 
286.96/298.00	[0](X) = 2.X + 2
286.96/298.00	[1](X) = X
286.96/298.00	[3](X) = X
286.96/298.00	[4](X) = X + 2
286.96/298.00	[2](X) = 1/2.X
286.96/298.00	[5](X) = X
286.96/298.00	[1#](X) = 2.X + 2
286.96/298.00	[3#](X) = 2.X
286.96/298.00	[4#](X) = 2.X + 2
286.96/298.00	
286.96/298.00	Problem 1.2: 
286.96/298.00	
286.96/298.00	SCC Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Strongly Connected Components:
286.96/298.00	->->Cycle:
286.96/298.00	->->-> Pairs:
286.96/298.00	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	->->-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	
286.96/298.00	Problem 1.2: 
286.96/298.00	
286.96/298.00	Reduction Pair Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 1#(3(0(4(x1:S)))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	-> Usable rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Interpretation type:
286.96/298.00	 Linear
286.96/298.00	->Coefficients:
286.96/298.00	 All rationals
286.96/298.00	->Dimension:
286.96/298.00	 1
286.96/298.00	->Bound:
286.96/298.00	 2
286.96/298.00	->Interpretation:
286.96/298.00	 
286.96/298.00	[0](X) = 2.X + 2
286.96/298.00	[1](X) = X
286.96/298.00	[3](X) = X
286.96/298.00	[4](X) = X + 2
286.96/298.00	[2](X) = 1/2.X
286.96/298.00	[5](X) = X + 1/2
286.96/298.00	[1#](X) = 1/2.X + 2
286.96/298.00	[3#](X) = X + 1/2
286.96/298.00	[4#](X) = X + 1/2
286.96/298.00	
286.96/298.00	Problem 1.2: 
286.96/298.00	
286.96/298.00	SCC Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 3#(5(0(x1:S))) -> 1#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	->Strongly Connected Components:
286.96/298.00	->->Cycle:
286.96/298.00	->->-> Pairs:
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	->->-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	
286.96/298.00	Problem 1.2: 
286.96/298.00	
286.96/298.00	Reduction Pair Processor:
286.96/298.00	-> Pairs:
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(0(3(4(2(4(x1:S))))))
286.96/298.00	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.00	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.00	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.00	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.00	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.00	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.00	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.00	-> Rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.00	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.00	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.00	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.00	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.00	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.00	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.00	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.00	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.00	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.00	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.00	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.00	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.00	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.00	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.00	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.00	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.00	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.00	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.00	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.00	-> Usable rules:
286.96/298.00	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.00	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.00	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.00	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.00	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.00	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.00	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.00	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.00	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.00	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.00	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.00	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.00	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.00	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.00	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.00	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.00	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.00	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.00	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.00	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.00	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.00	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.00	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.00	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Interpretation type:
286.96/298.01	 Linear
286.96/298.01	->Coefficients:
286.96/298.01	 All rationals
286.96/298.01	->Dimension:
286.96/298.01	 1
286.96/298.01	->Bound:
286.96/298.01	 2
286.96/298.01	->Interpretation:
286.96/298.01	 
286.96/298.01	[0](X) = 2.X + 2
286.96/298.01	[1](X) = X
286.96/298.01	[3](X) = X
286.96/298.01	[4](X) = X + 2
286.96/298.01	[2](X) = 1/2.X
286.96/298.01	[5](X) = X + 1/2
286.96/298.01	[3#](X) = 1/2.X
286.96/298.01	[4#](X) = 1/2.X + 1
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	SCC Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Strongly Connected Components:
286.96/298.01	->->Cycle:
286.96/298.01	->->-> Pairs:
286.96/298.01	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	->->-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	Reduction Pair Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(3(4(x1:S))))) -> 3#(4(2(4(x1:S))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	-> Usable rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Interpretation type:
286.96/298.01	 Linear
286.96/298.01	->Coefficients:
286.96/298.01	 All rationals
286.96/298.01	->Dimension:
286.96/298.01	 1
286.96/298.01	->Bound:
286.96/298.01	 2
286.96/298.01	->Interpretation:
286.96/298.01	 
286.96/298.01	[0](X) = 2.X + 2
286.96/298.01	[1](X) = X
286.96/298.01	[3](X) = X
286.96/298.01	[4](X) = X + 2
286.96/298.01	[2](X) = 1/2.X
286.96/298.01	[5](X) = X + 1
286.96/298.01	[3#](X) = 2.X + 2
286.96/298.01	[4#](X) = 2.X + 2
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	SCC Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Strongly Connected Components:
286.96/298.01	->->Cycle:
286.96/298.01	->->-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	->->-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	Reduction Pair Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(0(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	-> Usable rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Interpretation type:
286.96/298.01	 Linear
286.96/298.01	->Coefficients:
286.96/298.01	 All rationals
286.96/298.01	->Dimension:
286.96/298.01	 1
286.96/298.01	->Bound:
286.96/298.01	 2
286.96/298.01	->Interpretation:
286.96/298.01	 
286.96/298.01	[0](X) = 2.X + 1/2
286.96/298.01	[1](X) = X
286.96/298.01	[3](X) = X
286.96/298.01	[4](X) = X + 1/2
286.96/298.01	[2](X) = 1/2.X
286.96/298.01	[5](X) = X
286.96/298.01	[3#](X) = 2.X
286.96/298.01	[4#](X) = 2.X + 1
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	SCC Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Strongly Connected Components:
286.96/298.01	->->Cycle:
286.96/298.01	->->-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	->->-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	Reduction Pair Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 3#(4(2(0(3(x1:S)))))
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	-> Usable rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Interpretation type:
286.96/298.01	 Linear
286.96/298.01	->Coefficients:
286.96/298.01	 All rationals
286.96/298.01	->Dimension:
286.96/298.01	 1
286.96/298.01	->Bound:
286.96/298.01	 2
286.96/298.01	->Interpretation:
286.96/298.01	 
286.96/298.01	[0](X) = 2.X + 1/2
286.96/298.01	[1](X) = X
286.96/298.01	[3](X) = X
286.96/298.01	[4](X) = X + 1/2
286.96/298.01	[2](X) = 1/2.X
286.96/298.01	[5](X) = X
286.96/298.01	[3#](X) = 2.X
286.96/298.01	[4#](X) = X + 1
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	SCC Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Strongly Connected Components:
286.96/298.01	->->Cycle:
286.96/298.01	->->-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	->->-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	Reduction Pair Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 3#(x1:S)
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	-> Usable rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Interpretation type:
286.96/298.01	 Linear
286.96/298.01	->Coefficients:
286.96/298.01	 All rationals
286.96/298.01	->Dimension:
286.96/298.01	 1
286.96/298.01	->Bound:
286.96/298.01	 2
286.96/298.01	->Interpretation:
286.96/298.01	 
286.96/298.01	[0](X) = 2.X + 1
286.96/298.01	[1](X) = X
286.96/298.01	[3](X) = X
286.96/298.01	[4](X) = X + 1
286.96/298.01	[2](X) = 1/2.X
286.96/298.01	[5](X) = X + 1/2
286.96/298.01	[3#](X) = 1/2.X + 2
286.96/298.01	[4#](X) = 1/2.X + 2
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	SCC Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Strongly Connected Components:
286.96/298.01	->->Cycle:
286.96/298.01	->->-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	->->-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	Reduction Pair Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(3(x1:S)))
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	-> Usable rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Interpretation type:
286.96/298.01	 Linear
286.96/298.01	->Coefficients:
286.96/298.01	 All rationals
286.96/298.01	->Dimension:
286.96/298.01	 1
286.96/298.01	->Bound:
286.96/298.01	 2
286.96/298.01	->Interpretation:
286.96/298.01	 
286.96/298.01	[0](X) = 2.X + 1
286.96/298.01	[1](X) = X
286.96/298.01	[3](X) = X
286.96/298.01	[4](X) = X + 1
286.96/298.01	[2](X) = 1/2.X
286.96/298.01	[5](X) = X
286.96/298.01	[3#](X) = X
286.96/298.01	[4#](X) = X + 1/2
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	SCC Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Strongly Connected Components:
286.96/298.01	->->Cycle:
286.96/298.01	->->-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	->->-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	Reduction Pair Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	-> Usable rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Interpretation type:
286.96/298.01	 Linear
286.96/298.01	->Coefficients:
286.96/298.01	 All rationals
286.96/298.01	->Dimension:
286.96/298.01	 1
286.96/298.01	->Bound:
286.96/298.01	 2
286.96/298.01	->Interpretation:
286.96/298.01	 
286.96/298.01	[0](X) = 2.X + 1
286.96/298.01	[1](X) = X
286.96/298.01	[3](X) = X
286.96/298.01	[4](X) = X + 1
286.96/298.01	[2](X) = 1/2.X
286.96/298.01	[5](X) = X + 1/2
286.96/298.01	[3#](X) = 1/2.X + 1/2
286.96/298.01	[4#](X) = 1/2.X + 1
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	SCC Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Strongly Connected Components:
286.96/298.01	->->Cycle:
286.96/298.01	->->-> Pairs:
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	->->-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	Reduction Pair Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(0(3(x1:S)))
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	-> Usable rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Interpretation type:
286.96/298.01	 Linear
286.96/298.01	->Coefficients:
286.96/298.01	 All rationals
286.96/298.01	->Dimension:
286.96/298.01	 1
286.96/298.01	->Bound:
286.96/298.01	 2
286.96/298.01	->Interpretation:
286.96/298.01	 
286.96/298.01	[0](X) = 2.X + 2
286.96/298.01	[1](X) = X
286.96/298.01	[3](X) = X
286.96/298.01	[4](X) = X + 2
286.96/298.01	[2](X) = 1/2.X
286.96/298.01	[5](X) = X + 1/2
286.96/298.01	[3#](X) = 2.X
286.96/298.01	[4#](X) = 2.X + 1
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	SCC Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	->Strongly Connected Components:
286.96/298.01	->->Cycle:
286.96/298.01	->->-> Pairs:
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	->->-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	
286.96/298.01	Problem 1.2: 
286.96/298.01	
286.96/298.01	Reduction Pair Processor:
286.96/298.01	-> Pairs:
286.96/298.01	 3#(3(0(4(5(x1:S))))) -> 3#(x1:S)
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.01	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.01	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.01	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.01	-> Rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.01	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.01	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.01	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.01	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.01	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.01	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.01	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.01	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.01	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.01	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.01	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.01	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.01	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.01	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.01	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.01	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.01	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.01	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.01	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.01	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.01	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.01	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.01	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.01	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.01	-> Usable rules:
286.96/298.01	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.01	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.01	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.01	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.01	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.01	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.01	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.01	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.01	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.01	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.01	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.01	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.01	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.01	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.01	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.01	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.01	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.01	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.01	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	->Interpretation type:
286.96/298.02	 Linear
286.96/298.02	->Coefficients:
286.96/298.02	 All rationals
286.96/298.02	->Dimension:
286.96/298.02	 1
286.96/298.02	->Bound:
286.96/298.02	 2
286.96/298.02	->Interpretation:
286.96/298.02	 
286.96/298.02	[0](X) = 2.X + 1
286.96/298.02	[1](X) = X
286.96/298.02	[3](X) = X
286.96/298.02	[4](X) = X + 1
286.96/298.02	[2](X) = 1/2.X
286.96/298.02	[5](X) = X + 1/2
286.96/298.02	[3#](X) = 1/2.X
286.96/298.02	[4#](X) = 1/2.X + 1/2
286.96/298.02	
286.96/298.02	Problem 1.2: 
286.96/298.02	
286.96/298.02	SCC Processor:
286.96/298.02	-> Pairs:
286.96/298.02	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.02	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.02	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	->Strongly Connected Components:
286.96/298.02	->->Cycle:
286.96/298.02	->->-> Pairs:
286.96/298.02	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.02	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.02	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	->->-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	
286.96/298.02	Problem 1.2: 
286.96/298.02	
286.96/298.02	Reduction Pair Processor:
286.96/298.02	-> Pairs:
286.96/298.02	 3#(4(2(0(3(x1:S))))) -> 3#(4(x1:S))
286.96/298.02	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.02	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	-> Usable rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	->Interpretation type:
286.96/298.02	 Linear
286.96/298.02	->Coefficients:
286.96/298.02	 All rationals
286.96/298.02	->Dimension:
286.96/298.02	 1
286.96/298.02	->Bound:
286.96/298.02	 2
286.96/298.02	->Interpretation:
286.96/298.02	 
286.96/298.02	[0](X) = 2.X + 1
286.96/298.02	[1](X) = X
286.96/298.02	[3](X) = X
286.96/298.02	[4](X) = X + 1
286.96/298.02	[2](X) = 1/2.X
286.96/298.02	[5](X) = X
286.96/298.02	[3#](X) = 2.X
286.96/298.02	[4#](X) = 2.X + 2
286.96/298.02	
286.96/298.02	Problem 1.2: 
286.96/298.02	
286.96/298.02	SCC Processor:
286.96/298.02	-> Pairs:
286.96/298.02	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.02	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	->Strongly Connected Components:
286.96/298.02	->->Cycle:
286.96/298.02	->->-> Pairs:
286.96/298.02	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.02	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	->->-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	
286.96/298.02	Problem 1.2: 
286.96/298.02	
286.96/298.02	Reduction Pair Processor:
286.96/298.02	-> Pairs:
286.96/298.02	 3#(4(2(0(3(x1:S))))) -> 4#(x1:S)
286.96/298.02	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	-> Usable rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	->Interpretation type:
286.96/298.02	 Linear
286.96/298.02	->Coefficients:
286.96/298.02	 All rationals
286.96/298.02	->Dimension:
286.96/298.02	 1
286.96/298.02	->Bound:
286.96/298.02	 2
286.96/298.02	->Interpretation:
286.96/298.02	 
286.96/298.02	[0](X) = 2.X + 1
286.96/298.02	[1](X) = X
286.96/298.02	[3](X) = X
286.96/298.02	[4](X) = X + 1
286.96/298.02	[2](X) = 1/2.X
286.96/298.02	[5](X) = X
286.96/298.02	[3#](X) = 1/2.X + 1/2
286.96/298.02	[4#](X) = 1/2.X + 1
286.96/298.02	
286.96/298.02	Problem 1.2: 
286.96/298.02	
286.96/298.02	SCC Processor:
286.96/298.02	-> Pairs:
286.96/298.02	 4#(0(3(5(x1:S)))) -> 3#(4(2(0(x1:S))))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	->Strongly Connected Components:
286.96/298.02	->->Cycle:
286.96/298.02	->->-> Pairs:
286.96/298.02	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	->->-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	
286.96/298.02	Problem 1.2: 
286.96/298.02	
286.96/298.02	Reduction Pair Processor:
286.96/298.02	-> Pairs:
286.96/298.02	 4#(0(4(x1:S))) -> 4#(0(x1:S))
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	-> Usable rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	->Interpretation type:
286.96/298.02	 Linear
286.96/298.02	->Coefficients:
286.96/298.02	 Natural Numbers
286.96/298.02	->Dimension:
286.96/298.02	 1
286.96/298.02	->Bound:
286.96/298.02	 2
286.96/298.02	->Interpretation:
286.96/298.02	 
286.96/298.02	[0](X) = 2.X + 2
286.96/298.02	[1](X) = 2.X + 1
286.96/298.02	[3](X) = 2.X + 1
286.96/298.02	[4](X) = 2.X + 2
286.96/298.02	[2](X) = 0
286.96/298.02	[5](X) = 2
286.96/298.02	[4#](X) = 2.X
286.96/298.02	
286.96/298.02	Problem 1.2: 
286.96/298.02	
286.96/298.02	SCC Processor:
286.96/298.02	-> Pairs:
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	->Strongly Connected Components:
286.96/298.02	->->Cycle:
286.96/298.02	->->-> Pairs:
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	->->-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	
286.96/298.02	Problem 1.2: 
286.96/298.02	
286.96/298.02	Reduction Pair Processor:
286.96/298.02	-> Pairs:
286.96/298.02	 4#(0(4(x1:S))) -> 4#(4(0(x1:S)))
286.96/298.02	-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	-> Usable rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	->Interpretation type:
286.96/298.02	 Linear
286.96/298.02	->Coefficients:
286.96/298.02	 Natural Numbers
286.96/298.02	->Dimension:
286.96/298.02	 1
286.96/298.02	->Bound:
286.96/298.02	 2
286.96/298.02	->Interpretation:
286.96/298.02	 
286.96/298.02	[0](X) = 2.X + 2
286.96/298.02	[1](X) = 2.X
286.96/298.02	[3](X) = 2.X + 2
286.96/298.02	[4](X) = X + 2
286.96/298.02	[2](X) = 0
286.96/298.02	[5](X) = 0
286.96/298.02	[4#](X) = 2.X
286.96/298.02	
286.96/298.02	Problem 1.2: 
286.96/298.02	
286.96/298.02	SCC Processor:
286.96/298.02	-> Pairs:
286.96/298.02	 Empty
286.96/298.02	-> Rules:
286.96/298.02	 0(0(0(x1:S))) -> 0(2(0(0(x1:S))))
286.96/298.02	 0(0(1(0(4(x1:S))))) -> 0(0(0(1(4(2(x1:S))))))
286.96/298.02	 0(0(4(3(x1:S)))) -> 3(0(0(2(1(4(x1:S))))))
286.96/298.02	 0(0(4(x1:S))) -> 2(4(0(0(3(2(x1:S))))))
286.96/298.02	 0(0(5(3(x1:S)))) -> 0(5(2(5(0(3(x1:S))))))
286.96/298.02	 0(0(5(5(3(x1:S))))) -> 0(5(0(3(2(5(x1:S))))))
286.96/298.02	 0(0(5(x1:S))) -> 0(5(2(0(x1:S))))
286.96/298.02	 0(0(x1:S)) -> 0(2(3(4(0(2(x1:S))))))
286.96/298.02	 0(0(x1:S)) -> 1(0(2(0(2(x1:S)))))
286.96/298.02	 0(1(0(3(x1:S)))) -> 2(1(0(3(0(x1:S)))))
286.96/298.02	 0(1(1(0(x1:S)))) -> 2(1(0(0(1(2(x1:S))))))
286.96/298.02	 0(1(3(x1:S))) -> 3(2(2(1(0(x1:S)))))
286.96/298.02	 0(3(0(x1:S))) -> 2(0(2(3(4(0(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 0(2(3(2(x1:S))))
286.96/298.02	 0(3(x1:S)) -> 0(2(2(2(3(2(x1:S))))))
286.96/298.02	 0(3(x1:S)) -> 2(0(2(1(3(x1:S)))))
286.96/298.02	 0(3(x1:S)) -> 2(3(0(2(2(x1:S)))))
286.96/298.02	 0(4(0(0(x1:S)))) -> 0(4(0(2(1(0(x1:S))))))
286.96/298.02	 0(4(1(3(x1:S)))) -> 2(1(4(2(0(3(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 1(0(2(1(3(4(x1:S))))))
286.96/298.02	 0(4(3(x1:S))) -> 3(0(2(4(x1:S))))
286.96/298.02	 0(4(3(x1:S))) -> 2(2(4(3(4(0(x1:S))))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(2(5(0(x1:S)))))
286.96/298.02	 0(4(5(3(x1:S)))) -> 4(3(5(0(2(4(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 2(4(0(5(2(5(x1:S))))))
286.96/298.02	 0(4(5(x1:S))) -> 5(3(2(4(4(0(x1:S))))))
286.96/298.02	 0(5(0(4(x1:S)))) -> 5(0(0(2(4(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 0(5(2(4(0(x1:S)))))
286.96/298.02	 0(5(0(x1:S))) -> 5(0(2(3(2(0(x1:S))))))
286.96/298.02	 0(5(3(x1:S))) -> 3(2(5(3(2(0(x1:S))))))
286.96/298.02	 0(5(5(3(x1:S)))) -> 2(3(5(5(0(x1:S)))))
286.96/298.02	 1(0(0(x1:S))) -> 1(0(2(5(0(2(x1:S))))))
286.96/298.02	 1(0(3(x1:S))) -> 2(1(3(0(5(2(x1:S))))))
286.96/298.02	 1(0(4(x1:S))) -> 3(0(2(1(4(x1:S)))))
286.96/298.02	 1(0(4(x1:S))) -> 2(1(2(1(4(0(x1:S))))))
286.96/298.02	 1(3(0(4(x1:S)))) -> 4(0(1(2(3(x1:S)))))
286.96/298.02	 3(0(0(x1:S))) -> 3(0(2(0(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(0(2(3(x1:S))))
286.96/298.02	 3(0(3(x1:S))) -> 3(3(2(2(0(x1:S)))))
286.96/298.02	 3(0(4(3(4(x1:S))))) -> 3(0(3(4(2(4(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(3(4(2(0(3(x1:S))))))
286.96/298.02	 3(0(4(x1:S))) -> 2(2(3(4(0(x1:S)))))
286.96/298.02	 3(0(4(x1:S))) -> 5(5(2(4(0(3(x1:S))))))
286.96/298.02	 3(3(0(4(5(x1:S))))) -> 1(4(5(3(0(3(x1:S))))))
286.96/298.02	 3(3(4(x1:S))) -> 3(2(1(3(2(4(x1:S))))))
286.96/298.02	 3(4(2(0(3(x1:S))))) -> 2(3(0(2(3(4(x1:S))))))
286.96/298.02	 3(5(0(x1:S))) -> 3(5(1(0(2(1(x1:S))))))
286.96/298.02	 4(0(3(5(x1:S)))) -> 5(2(3(4(2(0(x1:S))))))
286.96/298.02	 4(0(4(x1:S))) -> 0(2(4(4(0(x1:S)))))
286.96/298.02	 4(0(4(x1:S))) -> 1(4(0(2(4(0(x1:S))))))
286.96/298.02	->Strongly Connected Components:
286.96/298.02	 There is no strongly connected component
286.96/298.02	
286.96/298.02	The problem is finite.
286.96/298.02	EOF