0.58/0.61 YES 0.58/0.61 0.58/0.61 Problem 1: 0.58/0.61 0.58/0.61 (VAR v_NonEmpty:S x1:S) 0.58/0.61 (RULES 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ) 0.58/0.61 0.58/0.61 Problem 1: 0.58/0.61 0.58/0.61 Dependency Pairs Processor: 0.58/0.61 -> Pairs: 0.58/0.61 0#(0(1(0(x1:S)))) -> 0#(0(2(0(x1:S)))) 0.58/0.61 0#(0(1(0(x1:S)))) -> 0#(1(5(0(0(2(x1:S)))))) 0.58/0.61 0#(0(1(0(x1:S)))) -> 0#(2(0(x1:S))) 0.58/0.61 0#(3(1(0(x1:S)))) -> 0#(5(0(x1:S))) 0.58/0.61 0#(3(1(0(x1:S)))) -> 3#(0(5(0(x1:S)))) 0.58/0.61 0#(3(1(0(x1:S)))) -> 5#(0(x1:S)) 0.58/0.61 0#(1(0(0(0(x1:S))))) -> 0#(0(5(1(0(0(x1:S)))))) 0.58/0.61 0#(1(0(0(0(x1:S))))) -> 0#(5(1(0(0(x1:S))))) 0.58/0.61 0#(1(0(0(0(x1:S))))) -> 5#(1(0(0(x1:S)))) 0.58/0.61 0#(1(0(3(x1:S)))) -> 0#(5(3(2(0(x1:S))))) 0.58/0.61 0#(1(0(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 0#(1(0(3(x1:S)))) -> 3#(2(0(x1:S))) 0.58/0.61 0#(1(0(3(x1:S)))) -> 5#(3(2(0(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(0(2(0(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(0(2(1(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(3(2(1(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(5(2(5(1(0(x1:S)))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(5(2(1(2(0(x1:S)))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(2(0(x1:S))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(2(1(0(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(0(4(1(3(x1:S)))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(0(x1:S))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(1(3(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(2(0(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(2(2(1(0(x1:S)))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(4(4(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 3#(2(1(0(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 3#(x1:S) 0.58/0.61 0#(1(0(x1:S))) -> 5#(1(0(2(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 5#(1(0(4(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 5#(1(0(x1:S))) 0.58/0.61 0#(1(0(x1:S))) -> 5#(2(5(1(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 5#(2(1(2(0(x1:S))))) 0.58/0.61 0#(1(5(0(x1:S)))) -> 0#(5(1(4(0(x1:S))))) 0.58/0.61 0#(1(5(0(x1:S)))) -> 0#(2(0(x1:S))) 0.58/0.61 0#(1(5(0(x1:S)))) -> 3#(0(2(0(x1:S)))) 0.58/0.61 0#(1(5(0(x1:S)))) -> 5#(3(0(2(0(x1:S))))) 0.58/0.61 0#(1(5(0(x1:S)))) -> 5#(1(4(0(x1:S)))) 0.58/0.61 0#(1(1(0(x1:S)))) -> 0#(4(4(1(1(0(x1:S)))))) 0.58/0.61 0#(1(1(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 0#(1(1(3(x1:S)))) -> 3#(4(5(1(1(0(x1:S)))))) 0.58/0.61 0#(1(1(3(x1:S)))) -> 5#(1(1(0(x1:S)))) 0.58/0.61 0#(1(2(0(x1:S)))) -> 0#(2(0(x1:S))) 0.58/0.61 0#(1(2(0(x1:S)))) -> 0#(2(1(0(x1:S)))) 0.58/0.61 0#(1(2(0(x1:S)))) -> 0#(4(0(x1:S))) 0.58/0.61 0#(1(2(0(x1:S)))) -> 3#(0(2(1(0(x1:S))))) 0.58/0.61 0#(1(4(0(0(x1:S))))) -> 0#(0(0(4(1(0(x1:S)))))) 0.58/0.61 0#(1(4(0(0(x1:S))))) -> 0#(0(4(1(0(x1:S))))) 0.58/0.61 0#(1(4(0(0(x1:S))))) -> 0#(4(1(0(x1:S)))) 0.58/0.61 0#(1(4(0(x1:S)))) -> 0#(3(4(2(1(0(x1:S)))))) 0.58/0.61 0#(1(4(0(x1:S)))) -> 3#(4(2(1(0(x1:S))))) 0.58/0.61 3#(0(3(1(0(x1:S))))) -> 0#(1(3(2(3(0(x1:S)))))) 0.58/0.61 3#(0(3(1(0(x1:S))))) -> 3#(0(x1:S)) 0.58/0.61 3#(0(3(1(0(x1:S))))) -> 3#(2(3(0(x1:S)))) 0.58/0.61 5#(0(1(0(x1:S)))) -> 0#(0(4(5(x1:S)))) 0.58/0.61 5#(0(1(0(x1:S)))) -> 0#(4(5(x1:S))) 0.58/0.61 5#(0(1(0(x1:S)))) -> 5#(x1:S) 0.58/0.61 5#(0(1(2(0(x1:S))))) -> 0#(0(5(2(1(0(x1:S)))))) 0.58/0.61 5#(0(1(2(0(x1:S))))) -> 0#(5(2(1(0(x1:S))))) 0.58/0.61 5#(0(1(2(0(x1:S))))) -> 5#(2(1(0(x1:S)))) 0.58/0.61 -> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 0.58/0.61 Problem 1: 0.58/0.61 0.58/0.61 SCC Processor: 0.58/0.61 -> Pairs: 0.58/0.61 0#(0(1(0(x1:S)))) -> 0#(0(2(0(x1:S)))) 0.58/0.61 0#(0(1(0(x1:S)))) -> 0#(1(5(0(0(2(x1:S)))))) 0.58/0.61 0#(0(1(0(x1:S)))) -> 0#(2(0(x1:S))) 0.58/0.61 0#(3(1(0(x1:S)))) -> 0#(5(0(x1:S))) 0.58/0.61 0#(3(1(0(x1:S)))) -> 3#(0(5(0(x1:S)))) 0.58/0.61 0#(3(1(0(x1:S)))) -> 5#(0(x1:S)) 0.58/0.61 0#(1(0(0(0(x1:S))))) -> 0#(0(5(1(0(0(x1:S)))))) 0.58/0.61 0#(1(0(0(0(x1:S))))) -> 0#(5(1(0(0(x1:S))))) 0.58/0.61 0#(1(0(0(0(x1:S))))) -> 5#(1(0(0(x1:S)))) 0.58/0.61 0#(1(0(3(x1:S)))) -> 0#(5(3(2(0(x1:S))))) 0.58/0.61 0#(1(0(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 0#(1(0(3(x1:S)))) -> 3#(2(0(x1:S))) 0.58/0.61 0#(1(0(3(x1:S)))) -> 5#(3(2(0(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(0(2(0(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(0(2(1(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(3(2(1(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(5(2(5(1(0(x1:S)))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(5(2(1(2(0(x1:S)))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(2(0(x1:S))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(2(1(0(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(0(4(1(3(x1:S)))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(0(x1:S))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(1(3(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(2(0(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(2(2(1(0(x1:S)))))) 0.58/0.61 0#(1(0(x1:S))) -> 0#(4(4(4(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 3#(2(1(0(x1:S)))) 0.58/0.61 0#(1(0(x1:S))) -> 3#(x1:S) 0.58/0.61 0#(1(0(x1:S))) -> 5#(1(0(2(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 5#(1(0(4(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 5#(1(0(x1:S))) 0.58/0.61 0#(1(0(x1:S))) -> 5#(2(5(1(0(x1:S))))) 0.58/0.61 0#(1(0(x1:S))) -> 5#(2(1(2(0(x1:S))))) 0.58/0.61 0#(1(5(0(x1:S)))) -> 0#(5(1(4(0(x1:S))))) 0.58/0.61 0#(1(5(0(x1:S)))) -> 0#(2(0(x1:S))) 0.58/0.61 0#(1(5(0(x1:S)))) -> 3#(0(2(0(x1:S)))) 0.58/0.61 0#(1(5(0(x1:S)))) -> 5#(3(0(2(0(x1:S))))) 0.58/0.61 0#(1(5(0(x1:S)))) -> 5#(1(4(0(x1:S)))) 0.58/0.61 0#(1(1(0(x1:S)))) -> 0#(4(4(1(1(0(x1:S)))))) 0.58/0.61 0#(1(1(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 0#(1(1(3(x1:S)))) -> 3#(4(5(1(1(0(x1:S)))))) 0.58/0.61 0#(1(1(3(x1:S)))) -> 5#(1(1(0(x1:S)))) 0.58/0.61 0#(1(2(0(x1:S)))) -> 0#(2(0(x1:S))) 0.58/0.61 0#(1(2(0(x1:S)))) -> 0#(2(1(0(x1:S)))) 0.58/0.61 0#(1(2(0(x1:S)))) -> 0#(4(0(x1:S))) 0.58/0.61 0#(1(2(0(x1:S)))) -> 3#(0(2(1(0(x1:S))))) 0.58/0.61 0#(1(4(0(0(x1:S))))) -> 0#(0(0(4(1(0(x1:S)))))) 0.58/0.61 0#(1(4(0(0(x1:S))))) -> 0#(0(4(1(0(x1:S))))) 0.58/0.61 0#(1(4(0(0(x1:S))))) -> 0#(4(1(0(x1:S)))) 0.58/0.61 0#(1(4(0(x1:S)))) -> 0#(3(4(2(1(0(x1:S)))))) 0.58/0.61 0#(1(4(0(x1:S)))) -> 3#(4(2(1(0(x1:S))))) 0.58/0.61 3#(0(3(1(0(x1:S))))) -> 0#(1(3(2(3(0(x1:S)))))) 0.58/0.61 3#(0(3(1(0(x1:S))))) -> 3#(0(x1:S)) 0.58/0.61 3#(0(3(1(0(x1:S))))) -> 3#(2(3(0(x1:S)))) 0.58/0.61 5#(0(1(0(x1:S)))) -> 0#(0(4(5(x1:S)))) 0.58/0.61 5#(0(1(0(x1:S)))) -> 0#(4(5(x1:S))) 0.58/0.61 5#(0(1(0(x1:S)))) -> 5#(x1:S) 0.58/0.61 5#(0(1(2(0(x1:S))))) -> 0#(0(5(2(1(0(x1:S)))))) 0.58/0.61 5#(0(1(2(0(x1:S))))) -> 0#(5(2(1(0(x1:S))))) 0.58/0.61 5#(0(1(2(0(x1:S))))) -> 5#(2(1(0(x1:S)))) 0.58/0.61 -> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->Strongly Connected Components: 0.58/0.61 ->->Cycle: 0.58/0.61 ->->-> Pairs: 0.58/0.61 5#(0(1(0(x1:S)))) -> 5#(x1:S) 0.58/0.61 ->->-> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->->Cycle: 0.58/0.61 ->->-> Pairs: 0.58/0.61 3#(0(3(1(0(x1:S))))) -> 3#(0(x1:S)) 0.58/0.61 ->->-> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->->Cycle: 0.58/0.61 ->->-> Pairs: 0.58/0.61 0#(3(1(0(x1:S)))) -> 0#(5(0(x1:S))) 0.58/0.61 0#(1(0(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 0#(1(1(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 ->->-> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 0.58/0.61 0.58/0.61 The problem is decomposed in 3 subproblems. 0.58/0.61 0.58/0.61 Problem 1.1: 0.58/0.61 0.58/0.61 Subterm Processor: 0.58/0.61 -> Pairs: 0.58/0.61 5#(0(1(0(x1:S)))) -> 5#(x1:S) 0.58/0.61 -> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->Projection: 0.58/0.61 pi(5#) = 1 0.58/0.61 0.58/0.61 Problem 1.1: 0.58/0.61 0.58/0.61 SCC Processor: 0.58/0.61 -> Pairs: 0.58/0.61 Empty 0.58/0.61 -> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->Strongly Connected Components: 0.58/0.61 There is no strongly connected component 0.58/0.61 0.58/0.61 The problem is finite. 0.58/0.61 0.58/0.61 Problem 1.2: 0.58/0.61 0.58/0.61 Subterm Processor: 0.58/0.61 -> Pairs: 0.58/0.61 3#(0(3(1(0(x1:S))))) -> 3#(0(x1:S)) 0.58/0.61 -> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->Projection: 0.58/0.61 pi(3#) = 1 0.58/0.61 0.58/0.61 Problem 1.2: 0.58/0.61 0.58/0.61 SCC Processor: 0.58/0.61 -> Pairs: 0.58/0.61 Empty 0.58/0.61 -> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->Strongly Connected Components: 0.58/0.61 There is no strongly connected component 0.58/0.61 0.58/0.61 The problem is finite. 0.58/0.61 0.58/0.61 Problem 1.3: 0.58/0.61 0.58/0.61 Reduction Pair Processor: 0.58/0.61 -> Pairs: 0.58/0.61 0#(3(1(0(x1:S)))) -> 0#(5(0(x1:S))) 0.58/0.61 0#(1(0(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 0#(1(1(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 -> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 -> Usable rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->Interpretation type: 0.58/0.61 Linear 0.58/0.61 ->Coefficients: 0.58/0.61 All rationals 0.58/0.61 ->Dimension: 0.58/0.61 1 0.58/0.61 ->Bound: 0.58/0.61 2 0.58/0.61 ->Interpretation: 0.58/0.61 0.58/0.61 [0](X) = 2.X 0.58/0.61 [3](X) = 2.X + 1/2 0.58/0.61 [5](X) = 1/2.X 0.58/0.61 [1](X) = X + 2 0.58/0.61 [2](X) = 0 0.58/0.61 [4](X) = 0 0.58/0.61 [0#](X) = 2.X 0.58/0.61 0.58/0.61 Problem 1.3: 0.58/0.61 0.58/0.61 SCC Processor: 0.58/0.61 -> Pairs: 0.58/0.61 0#(1(0(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 0#(1(1(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 -> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->Strongly Connected Components: 0.58/0.61 ->->Cycle: 0.58/0.61 ->->-> Pairs: 0.58/0.61 0#(1(0(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 0#(1(1(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 ->->-> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 0.58/0.61 Problem 1.3: 0.58/0.61 0.58/0.61 Subterm Processor: 0.58/0.61 -> Pairs: 0.58/0.61 0#(1(0(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 0#(1(1(3(x1:S)))) -> 0#(x1:S) 0.58/0.61 -> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->Projection: 0.58/0.61 pi(0#) = 1 0.58/0.61 0.58/0.61 Problem 1.3: 0.58/0.61 0.58/0.61 SCC Processor: 0.58/0.61 -> Pairs: 0.58/0.61 Empty 0.58/0.61 -> Rules: 0.58/0.61 0(0(1(0(x1:S)))) -> 0(1(5(0(0(2(x1:S)))))) 0.58/0.61 0(0(1(0(x1:S)))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(3(0(1(0(x1:S))))) -> 0(3(0(0(2(1(x1:S)))))) 0.58/0.61 0(3(1(0(x1:S)))) -> 1(2(3(0(5(0(x1:S)))))) 0.58/0.61 0(1(0(0(0(x1:S))))) -> 0(0(5(1(0(0(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(3(3(0(2(x1:S)))))) 0.58/0.61 0(1(0(3(x1:S)))) -> 1(0(5(3(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(3(2(1(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(5(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(5(2(1(2(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(3(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 0(2(1(0(x1:S)))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(0(4(1(3(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 0(4(2(2(1(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 3(0(0(4(1(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(0(0(4(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 5(5(1(0(0(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 5(1(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(0(2(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(5(4(4(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(0(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(2(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 1(0(4(4(4(0(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 0(1(0(x1:S))) -> 1(4(0(4(0(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(0(0(2(1(x1:S))))) 0.58/0.61 0(1(0(x1:S))) -> 4(5(1(0(2(0(x1:S)))))) 0.58/0.61 0(1(3(0(x1:S)))) -> 1(0(3(0(2(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 0(5(1(4(0(x1:S))))) 0.58/0.61 0(1(5(0(x1:S)))) -> 1(5(3(0(2(0(x1:S)))))) 0.58/0.61 0(1(1(0(x1:S)))) -> 0(4(4(1(1(0(x1:S)))))) 0.58/0.61 0(1(1(3(x1:S)))) -> 3(4(5(1(1(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 0(0(4(2(5(1(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(4(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 3(0(2(1(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(0(2(0(x1:S))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 1(1(2(0(4(0(x1:S)))))) 0.58/0.61 0(1(2(0(x1:S)))) -> 4(1(0(0(2(x1:S))))) 0.58/0.61 0(1(2(5(0(x1:S))))) -> 1(0(2(0(5(4(x1:S)))))) 0.58/0.61 0(1(2(4(0(x1:S))))) -> 0(0(5(4(2(1(x1:S)))))) 0.58/0.61 0(1(4(0(0(x1:S))))) -> 0(0(0(4(1(0(x1:S)))))) 0.58/0.61 0(1(4(0(x1:S)))) -> 0(3(4(2(1(0(x1:S)))))) 0.58/0.61 0(1(4(5(0(x1:S))))) -> 1(5(0(0(4(2(x1:S)))))) 0.58/0.61 3(0(3(1(0(x1:S))))) -> 0(1(3(2(3(0(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 1(4(0(0(5(1(x1:S)))))) 0.58/0.61 5(0(1(0(x1:S)))) -> 2(1(0(0(4(5(x1:S)))))) 0.58/0.61 5(0(1(2(0(x1:S))))) -> 0(0(5(2(1(0(x1:S)))))) 0.58/0.61 ->Strongly Connected Components: 0.58/0.61 There is no strongly connected component 0.58/0.61 0.58/0.61 The problem is finite. 0.58/0.61 EOF