15.75/15.58 MAYBE 15.75/15.58 15.75/15.58 DP problem for innermost termination. 15.75/15.58 P = 15.75/15.58 f5#(x1, x2, x3, x4) -> f4#(x1, x2, x3, x4) 15.75/15.58 f4#(I0, I1, I2, I3) -> f2#(I0, I1, I2, I3) 15.75/15.58 f3#(I4, I5, I6, I7) -> f1#(I4, I5, I6, I7) [I5 = I5] 15.75/15.58 f2#(I8, I9, I10, I11) -> f3#(I8, I9, I10, I11) [I8 = I8] 15.75/15.58 f1#(I12, I13, I14, I15) -> f2#(I12, I13, I14, -1 + I15) [2 - I15 <= I14 /\ I15 <= I14] 15.75/15.58 f1#(I16, I17, I18, I19) -> f2#(I16, I17, -1 + I18, I19) [1 + I19 <= I18 /\ I19 <= 1 - I18] 15.75/15.58 f1#(I20, I21, I22, I23) -> f2#(I20, I21, I22, 1 + I23) [1 + I22 <= -1 * I23 /\ I22 <= I23] 15.75/15.58 f1#(I24, I25, I26, I27) -> f2#(I24, I25, 1 + I26, I27) [1 + I26 <= I27 /\ -1 * I26 <= I27] 15.75/15.58 R = 15.75/15.58 f5(x1, x2, x3, x4) -> f4(x1, x2, x3, x4) 15.75/15.58 f4(I0, I1, I2, I3) -> f2(I0, I1, I2, I3) 15.75/15.58 f3(I4, I5, I6, I7) -> f1(I4, I5, I6, I7) [I5 = I5] 15.75/15.58 f2(I8, I9, I10, I11) -> f3(I8, I9, I10, I11) [I8 = I8] 15.75/15.58 f1(I12, I13, I14, I15) -> f2(I12, I13, I14, -1 + I15) [2 - I15 <= I14 /\ I15 <= I14] 15.75/15.58 f1(I16, I17, I18, I19) -> f2(I16, I17, -1 + I18, I19) [1 + I19 <= I18 /\ I19 <= 1 - I18] 15.75/15.58 f1(I20, I21, I22, I23) -> f2(I20, I21, I22, 1 + I23) [1 + I22 <= -1 * I23 /\ I22 <= I23] 15.75/15.58 f1(I24, I25, I26, I27) -> f2(I24, I25, 1 + I26, I27) [1 + I26 <= I27 /\ -1 * I26 <= I27] 15.75/15.58 15.75/15.58 The dependency graph for this problem is: 15.75/15.58 0 -> 1 15.75/15.58 1 -> 3 15.75/15.58 2 -> 4, 5, 6, 7 15.75/15.58 3 -> 2 15.75/15.58 4 -> 3 15.75/15.58 5 -> 3 15.75/15.58 6 -> 3 15.75/15.58 7 -> 3 15.75/15.58 Where: 15.75/15.58 0) f5#(x1, x2, x3, x4) -> f4#(x1, x2, x3, x4) 15.75/15.58 1) f4#(I0, I1, I2, I3) -> f2#(I0, I1, I2, I3) 15.75/15.58 2) f3#(I4, I5, I6, I7) -> f1#(I4, I5, I6, I7) [I5 = I5] 15.75/15.58 3) f2#(I8, I9, I10, I11) -> f3#(I8, I9, I10, I11) [I8 = I8] 15.75/15.58 4) f1#(I12, I13, I14, I15) -> f2#(I12, I13, I14, -1 + I15) [2 - I15 <= I14 /\ I15 <= I14] 15.75/15.58 5) f1#(I16, I17, I18, I19) -> f2#(I16, I17, -1 + I18, I19) [1 + I19 <= I18 /\ I19 <= 1 - I18] 15.75/15.58 6) f1#(I20, I21, I22, I23) -> f2#(I20, I21, I22, 1 + I23) [1 + I22 <= -1 * I23 /\ I22 <= I23] 15.75/15.58 7) f1#(I24, I25, I26, I27) -> f2#(I24, I25, 1 + I26, I27) [1 + I26 <= I27 /\ -1 * I26 <= I27] 15.75/15.58 15.75/15.58 We have the following SCCs. 15.75/15.58 { 2, 3, 4, 5, 6, 7 } 15.75/15.58 15.75/15.58 DP problem for innermost termination. 15.75/15.58 P = 15.75/15.58 f3#(I4, I5, I6, I7) -> f1#(I4, I5, I6, I7) [I5 = I5] 15.75/15.58 f2#(I8, I9, I10, I11) -> f3#(I8, I9, I10, I11) [I8 = I8] 15.75/15.58 f1#(I12, I13, I14, I15) -> f2#(I12, I13, I14, -1 + I15) [2 - I15 <= I14 /\ I15 <= I14] 15.75/15.58 f1#(I16, I17, I18, I19) -> f2#(I16, I17, -1 + I18, I19) [1 + I19 <= I18 /\ I19 <= 1 - I18] 15.75/15.58 f1#(I20, I21, I22, I23) -> f2#(I20, I21, I22, 1 + I23) [1 + I22 <= -1 * I23 /\ I22 <= I23] 15.75/15.58 f1#(I24, I25, I26, I27) -> f2#(I24, I25, 1 + I26, I27) [1 + I26 <= I27 /\ -1 * I26 <= I27] 15.75/15.58 R = 15.75/15.58 f5(x1, x2, x3, x4) -> f4(x1, x2, x3, x4) 15.75/15.58 f4(I0, I1, I2, I3) -> f2(I0, I1, I2, I3) 15.75/15.58 f3(I4, I5, I6, I7) -> f1(I4, I5, I6, I7) [I5 = I5] 15.75/15.58 f2(I8, I9, I10, I11) -> f3(I8, I9, I10, I11) [I8 = I8] 15.75/15.58 f1(I12, I13, I14, I15) -> f2(I12, I13, I14, -1 + I15) [2 - I15 <= I14 /\ I15 <= I14] 15.75/15.58 f1(I16, I17, I18, I19) -> f2(I16, I17, -1 + I18, I19) [1 + I19 <= I18 /\ I19 <= 1 - I18] 15.75/15.58 f1(I20, I21, I22, I23) -> f2(I20, I21, I22, 1 + I23) [1 + I22 <= -1 * I23 /\ I22 <= I23] 15.75/15.58 f1(I24, I25, I26, I27) -> f2(I24, I25, 1 + I26, I27) [1 + I26 <= I27 /\ -1 * I26 <= I27] 15.75/15.58 15.75/18.56 EOF