2.50/1.16 YES 2.76/1.18 2.76/1.18 Problem: 2.76/1.18 0(1(2(2(3(0(4(4(x1)))))))) -> 0(4(5(0(3(4(0(4(x1)))))))) 2.76/1.18 0(2(2(2(0(5(2(5(4(x1))))))))) -> 0(0(0(3(4(3(0(1(0(x1))))))))) 2.76/1.18 2(1(1(3(4(3(1(1(5(x1))))))))) -> 1(0(2(3(1(0(5(1(5(x1))))))))) 2.76/1.18 5(4(0(4(3(3(1(2(5(3(0(x1))))))))))) -> 5(5(2(5(3(1(5(0(3(5(2(x1))))))))))) 2.76/1.18 2(4(5(0(1(1(3(3(5(3(0(0(x1)))))))))))) -> 4(4(2(2(1(0(4(0(1(3(2(0(x1)))))))))))) 2.76/1.18 4(4(3(0(3(1(5(3(5(1(3(1(5(3(x1)))))))))))))) -> 0(2(4(5(0(0(0(5(1(0(5(4(4(x1))))))))))))) 2.76/1.18 2(2(0(0(2(1(0(5(3(2(2(1(4(0(5(x1))))))))))))))) -> 0(0(3(5(3(0(4(3(1(3(0(2(5(5(x1)))))))))))))) 2.76/1.18 3(0(0(4(2(5(5(1(3(0(2(3(3(5(1(4(5(x1))))))))))))))))) -> 2.76/1.18 3(4(0(1(0(5(5(3(1(4(0(3(5(3(2(2(5(x1))))))))))))))))) 2.76/1.18 5(1(1(4(1(5(3(0(4(3(2(5(4(1(3(3(5(x1))))))))))))))))) -> 2.76/1.18 5(0(1(0(4(0(2(4(5(1(5(4(1(5(3(3(5(x1))))))))))))))))) 2.76/1.18 0(1(4(4(3(2(0(4(1(4(3(4(4(1(5(3(4(4(x1)))))))))))))))))) -> 2.76/1.18 0(2(4(2(3(1(0(1(1(1(3(0(2(4(4(1(1(2(x1)))))))))))))))))) 2.76/1.18 1(1(4(1(0(1(0(3(3(4(4(1(5(4(0(4(4(5(5(3(x1)))))))))))))))))))) -> 2.76/1.18 1(3(0(3(2(2(4(4(2(0(3(3(4(0(3(0(4(3(4(0(x1)))))))))))))))))))) 2.76/1.18 2(0(3(3(3(4(1(1(0(4(4(0(3(3(3(0(0(1(5(3(x1)))))))))))))))))))) -> 2.76/1.18 5(3(3(1(4(0(4(5(4(4(4(2(4(3(1(1(1(5(4(x1))))))))))))))))))) 2.76/1.18 2(3(3(2(1(5(0(5(0(1(3(3(2(5(1(5(0(3(0(5(x1)))))))))))))))))))) -> 2.76/1.18 3(4(0(2(5(5(2(4(2(4(3(1(1(4(4(5(5(3(5(x1))))))))))))))))))) 2.76/1.18 3(3(2(2(3(3(4(0(0(0(2(5(0(5(3(0(0(1(1(4(x1)))))))))))))))))))) -> 2.76/1.18 3(1(1(0(3(3(5(4(2(2(1(0(1(1(0(5(0(3(4(0(x1)))))))))))))))))))) 2.76/1.18 4(2(4(1(0(5(0(4(1(0(3(0(2(5(4(3(5(3(5(3(x1)))))))))))))))))))) -> 2.76/1.18 4(2(5(4(4(2(4(5(0(0(3(1(5(0(2(0(2(2(1(x1))))))))))))))))))) 2.76/1.18 2.76/1.18 Proof: 2.76/1.18 String Reversal Processor: 2.76/1.18 4(4(0(3(2(2(1(0(x1)))))))) -> 4(0(4(3(0(5(4(0(x1)))))))) 2.76/1.18 4(5(2(5(0(2(2(2(0(x1))))))))) -> 0(1(0(3(4(3(0(0(0(x1))))))))) 2.76/1.18 5(1(1(3(4(3(1(1(2(x1))))))))) -> 5(1(5(0(1(3(2(0(1(x1))))))))) 2.76/1.18 0(3(5(2(1(3(3(4(0(4(5(x1))))))))))) -> 2(5(3(0(5(1(3(5(2(5(5(x1))))))))))) 2.76/1.18 0(0(3(5(3(3(1(1(0(5(4(2(x1)))))))))))) -> 0(2(3(1(0(4(0(1(2(2(4(4(x1)))))))))))) 2.76/1.18 3(5(1(3(1(5(3(5(1(3(0(3(4(4(x1)))))))))))))) -> 4(4(5(0(1(5(0(0(0(5(4(2(0(x1))))))))))))) 2.76/1.18 5(0(4(1(2(2(3(5(0(1(2(0(0(2(2(x1))))))))))))))) -> 5(5(2(0(3(1(3(4(0(3(5(3(0(0(x1)))))))))))))) 2.76/1.18 5(4(1(5(3(3(2(0(3(1(5(5(2(4(0(0(3(x1))))))))))))))))) -> 2.76/1.18 5(2(2(3(5(3(0(4(1(3(5(5(0(1(0(4(3(x1))))))))))))))))) 2.76/1.18 5(3(3(1(4(5(2(3(4(0(3(5(1(4(1(1(5(x1))))))))))))))))) -> 2.76/1.18 5(3(3(5(1(4(5(1(5(4(2(0(4(0(1(0(5(x1))))))))))))))))) 2.76/1.18 4(4(3(5(1(4(4(3(4(1(4(0(2(3(4(4(1(0(x1)))))))))))))))))) -> 2.76/1.18 2(1(1(4(4(2(0(3(1(1(1(0(1(3(2(4(2(0(x1)))))))))))))))))) 2.76/1.18 3(5(5(4(4(0(4(5(1(4(4(3(3(0(1(0(1(4(1(1(x1)))))))))))))))))))) -> 2.76/1.18 0(4(3(4(0(3(0(4(3(3(0(2(4(4(2(2(3(0(3(1(x1)))))))))))))))))))) 2.76/1.18 3(5(1(0(0(3(3(3(0(4(4(0(1(1(4(3(3(3(0(2(x1)))))))))))))))))))) -> 2.76/1.18 4(5(1(1(1(3(4(2(4(4(4(5(4(0(4(1(3(3(5(x1))))))))))))))))))) 2.76/1.18 5(0(3(0(5(1(5(2(3(3(1(0(5(0(5(1(2(3(3(2(x1)))))))))))))))))))) -> 2.76/1.18 5(3(5(5(4(4(1(1(3(4(2(4(2(5(5(2(0(4(3(x1))))))))))))))))))) 2.76/1.18 4(1(1(0(0(3(5(0(5(2(0(0(0(4(3(3(2(2(3(3(x1)))))))))))))))))))) -> 2.76/1.18 0(4(3(0(5(0(1(1(0(1(2(2(4(5(3(3(0(1(1(3(x1)))))))))))))))))))) 2.76/1.18 3(5(3(5(3(4(5(2(0(3(0(1(4(0(5(0(1(4(2(4(x1)))))))))))))))))))) -> 2.76/1.18 1(2(2(0(2(0(5(1(3(0(0(5(4(2(4(4(5(2(4(x1))))))))))))))))))) 2.76/1.18 KBO Processor: 2.76/1.18 weight function: 2.76/1.18 w0 = 1 2.76/1.18 w(5) = w(1) = w(2) = w(3) = w(0) = w(4) = 1 2.76/1.18 precedence: 2.76/1.18 1 > 4 > 3 > 0 > 5 ~ 2 2.76/1.18 problem: 2.76/1.18 2.76/1.18 Qed 2.76/1.18 EOF