1.63/1.73 MAYBE 1.63/1.73 1.63/1.73 DP problem for innermost termination. 1.63/1.73 P = 1.63/1.73 f4#(x1, x2, x3) -> f3#(x1, x2, x3) 1.63/1.73 f3#(I0, I1, I2) -> f1#(I0, I1, I2) 1.63/1.73 f2#(I3, I4, I5) -> f1#(I3, I4, I5) 1.63/1.73 f1#(I6, I7, I8) -> f2#(I6, I7, -1 * I6 + I8) [1 + I7 <= -1 * I6 + I8] 1.63/1.73 R = 1.63/1.73 f4(x1, x2, x3) -> f3(x1, x2, x3) 1.63/1.73 f3(I0, I1, I2) -> f1(I0, I1, I2) 1.63/1.73 f2(I3, I4, I5) -> f1(I3, I4, I5) 1.63/1.73 f1(I6, I7, I8) -> f2(I6, I7, -1 * I6 + I8) [1 + I7 <= -1 * I6 + I8] 1.63/1.73 1.63/1.73 The dependency graph for this problem is: 1.63/1.73 0 -> 1 1.63/1.73 1 -> 3 1.63/1.73 2 -> 3 1.63/1.73 3 -> 2 1.63/1.73 Where: 1.63/1.73 0) f4#(x1, x2, x3) -> f3#(x1, x2, x3) 1.63/1.73 1) f3#(I0, I1, I2) -> f1#(I0, I1, I2) 1.63/1.73 2) f2#(I3, I4, I5) -> f1#(I3, I4, I5) 1.63/1.73 3) f1#(I6, I7, I8) -> f2#(I6, I7, -1 * I6 + I8) [1 + I7 <= -1 * I6 + I8] 1.63/1.73 1.63/1.73 We have the following SCCs. 1.63/1.73 { 2, 3 } 1.63/1.73 1.63/1.73 DP problem for innermost termination. 1.63/1.73 P = 1.63/1.73 f2#(I3, I4, I5) -> f1#(I3, I4, I5) 1.63/1.73 f1#(I6, I7, I8) -> f2#(I6, I7, -1 * I6 + I8) [1 + I7 <= -1 * I6 + I8] 1.63/1.73 R = 1.63/1.73 f4(x1, x2, x3) -> f3(x1, x2, x3) 1.63/1.73 f3(I0, I1, I2) -> f1(I0, I1, I2) 1.63/1.73 f2(I3, I4, I5) -> f1(I3, I4, I5) 1.63/1.73 f1(I6, I7, I8) -> f2(I6, I7, -1 * I6 + I8) [1 + I7 <= -1 * I6 + I8] 1.63/1.73 1.76/1.74 EOF