2.69/2.96 MAYBE 2.69/2.96 2.69/2.96 DP problem for innermost termination. 2.69/2.96 P = 2.69/2.96 f5#(x1, x2, x3, x4) -> f1#(x1, x2, x3, x4) 2.69/2.96 f4#(I0, I1, I2, I3) -> f3#(I0, I1, I2, I3) 2.69/2.96 f3#(I4, I5, I6, I7) -> f4#(I4, I5, I6 - I7, 1 + I7) [1 <= I6] 2.69/2.96 f1#(I12, I13, I14, I15) -> f3#(I12, I13, I14, I15) [1 <= I15] 2.69/2.96 R = 2.69/2.96 f5(x1, x2, x3, x4) -> f1(x1, x2, x3, x4) 2.69/2.96 f4(I0, I1, I2, I3) -> f3(I0, I1, I2, I3) 2.69/2.96 f3(I4, I5, I6, I7) -> f4(I4, I5, I6 - I7, 1 + I7) [1 <= I6] 2.69/2.96 f3(I8, I9, I10, I11) -> f2(I9, I9, I10, I11) [I10 <= 0] 2.69/2.96 f1(I12, I13, I14, I15) -> f3(I12, I13, I14, I15) [1 <= I15] 2.69/2.96 f1(I16, I17, I18, I19) -> f2(I17, I17, I18, I19) [1 + I19 <= 1] 2.69/2.96 2.69/2.96 The dependency graph for this problem is: 2.69/2.96 0 -> 3 2.69/2.96 1 -> 2 2.69/2.96 2 -> 1 2.69/2.96 3 -> 2 2.69/2.96 Where: 2.69/2.96 0) f5#(x1, x2, x3, x4) -> f1#(x1, x2, x3, x4) 2.69/2.96 1) f4#(I0, I1, I2, I3) -> f3#(I0, I1, I2, I3) 2.69/2.96 2) f3#(I4, I5, I6, I7) -> f4#(I4, I5, I6 - I7, 1 + I7) [1 <= I6] 2.69/2.96 3) f1#(I12, I13, I14, I15) -> f3#(I12, I13, I14, I15) [1 <= I15] 2.69/2.96 2.69/2.96 We have the following SCCs. 2.69/2.96 { 1, 2 } 2.69/2.96 2.69/2.96 DP problem for innermost termination. 2.69/2.96 P = 2.69/2.96 f4#(I0, I1, I2, I3) -> f3#(I0, I1, I2, I3) 2.69/2.96 f3#(I4, I5, I6, I7) -> f4#(I4, I5, I6 - I7, 1 + I7) [1 <= I6] 2.69/2.96 R = 2.69/2.96 f5(x1, x2, x3, x4) -> f1(x1, x2, x3, x4) 2.69/2.96 f4(I0, I1, I2, I3) -> f3(I0, I1, I2, I3) 2.69/2.96 f3(I4, I5, I6, I7) -> f4(I4, I5, I6 - I7, 1 + I7) [1 <= I6] 2.69/2.96 f3(I8, I9, I10, I11) -> f2(I9, I9, I10, I11) [I10 <= 0] 2.69/2.96 f1(I12, I13, I14, I15) -> f3(I12, I13, I14, I15) [1 <= I15] 2.69/2.96 f1(I16, I17, I18, I19) -> f2(I17, I17, I18, I19) [1 + I19 <= 1] 2.69/2.96 2.69/5.94 EOF