5.35/5.31 MAYBE 5.35/5.31 5.35/5.31 DP problem for innermost termination. 5.35/5.31 P = 5.35/5.31 f5#(x1, x2, x3, x4) -> f4#(x1, x2, x3, x4) 5.35/5.31 f4#(I0, I1, I2, I3) -> f1#(I0, I1, I2, I3) 5.35/5.31 f3#(I4, I5, I6, I7) -> f1#(I4, I5, I6, I7) 5.35/5.31 f1#(I8, I9, I10, I11) -> f3#(-1 + I8, I9 + I10, I10 + I11, I8 + I11) [1 <= I9] 5.35/5.31 f2#(I12, I13, I14, I15) -> f1#(I12, I13, I14, I15) 5.35/5.31 f1#(I16, I17, I18, I19) -> f2#(I16, -1 + I17, I18, I19) [1 <= I17] 5.35/5.31 R = 5.35/5.31 f5(x1, x2, x3, x4) -> f4(x1, x2, x3, x4) 5.35/5.31 f4(I0, I1, I2, I3) -> f1(I0, I1, I2, I3) 5.35/5.31 f3(I4, I5, I6, I7) -> f1(I4, I5, I6, I7) 5.35/5.31 f1(I8, I9, I10, I11) -> f3(-1 + I8, I9 + I10, I10 + I11, I8 + I11) [1 <= I9] 5.35/5.31 f2(I12, I13, I14, I15) -> f1(I12, I13, I14, I15) 5.35/5.31 f1(I16, I17, I18, I19) -> f2(I16, -1 + I17, I18, I19) [1 <= I17] 5.35/5.31 5.35/5.31 The dependency graph for this problem is: 5.35/5.31 0 -> 1 5.35/5.31 1 -> 3, 5 5.35/5.31 2 -> 3, 5 5.35/5.31 3 -> 2 5.35/5.31 4 -> 3, 5 5.35/5.31 5 -> 4 5.35/5.31 Where: 5.35/5.31 0) f5#(x1, x2, x3, x4) -> f4#(x1, x2, x3, x4) 5.35/5.31 1) f4#(I0, I1, I2, I3) -> f1#(I0, I1, I2, I3) 5.35/5.31 2) f3#(I4, I5, I6, I7) -> f1#(I4, I5, I6, I7) 5.35/5.31 3) f1#(I8, I9, I10, I11) -> f3#(-1 + I8, I9 + I10, I10 + I11, I8 + I11) [1 <= I9] 5.35/5.31 4) f2#(I12, I13, I14, I15) -> f1#(I12, I13, I14, I15) 5.35/5.31 5) f1#(I16, I17, I18, I19) -> f2#(I16, -1 + I17, I18, I19) [1 <= I17] 5.35/5.31 5.35/5.31 We have the following SCCs. 5.35/5.31 { 2, 3, 4, 5 } 5.35/5.31 5.35/5.31 DP problem for innermost termination. 5.35/5.31 P = 5.35/5.31 f3#(I4, I5, I6, I7) -> f1#(I4, I5, I6, I7) 5.35/5.31 f1#(I8, I9, I10, I11) -> f3#(-1 + I8, I9 + I10, I10 + I11, I8 + I11) [1 <= I9] 5.35/5.31 f2#(I12, I13, I14, I15) -> f1#(I12, I13, I14, I15) 5.35/5.31 f1#(I16, I17, I18, I19) -> f2#(I16, -1 + I17, I18, I19) [1 <= I17] 5.35/5.31 R = 5.35/5.31 f5(x1, x2, x3, x4) -> f4(x1, x2, x3, x4) 5.35/5.31 f4(I0, I1, I2, I3) -> f1(I0, I1, I2, I3) 5.35/5.31 f3(I4, I5, I6, I7) -> f1(I4, I5, I6, I7) 5.35/5.31 f1(I8, I9, I10, I11) -> f3(-1 + I8, I9 + I10, I10 + I11, I8 + I11) [1 <= I9] 5.35/5.31 f2(I12, I13, I14, I15) -> f1(I12, I13, I14, I15) 5.35/5.31 f1(I16, I17, I18, I19) -> f2(I16, -1 + I17, I18, I19) [1 <= I17] 5.35/5.31 5.35/8.29 EOF