14.49/14.65 MAYBE 14.49/14.65 14.49/14.65 DP problem for innermost termination. 14.49/14.65 P = 14.49/14.65 f8#(x1, x2, x3, x4) -> f7#(x1, x2, x3, x4) 14.49/14.65 f7#(I0, I1, I2, I3) -> f2#(I0, I1, I2, I3) [I0 <= 0] 14.49/14.65 f2#(I4, I5, I6, I7) -> f6#(I4, I5, I6, I7) [1 <= I7 /\ 1 <= I6] 14.49/14.65 f6#(I8, I9, I10, I11) -> f5#(I8, I9, -1 + I10, I11) 14.49/14.65 f6#(I12, I13, I14, I15) -> f5#(I12, I13, I14, -1 + I15) 14.49/14.65 f5#(I16, I17, I18, I19) -> f1#(I16, I17, I18, I19) [1 <= I16] 14.49/14.65 f5#(I20, I21, I22, I23) -> f4#(I20, I21, I22, I23) [I20 <= 0] 14.49/14.65 f4#(I24, I25, I26, I27) -> f2#(1, I26, I26, I27) 14.49/14.65 f4#(I28, I29, I30, I31) -> f2#(I28, I29, I30, I31) [I28 <= 0] 14.49/14.65 f1#(I36, I37, I38, I39) -> f2#(I36, I37, I38, I39) [1 + I38 <= I37] 14.49/14.65 R = 14.49/14.65 f8(x1, x2, x3, x4) -> f7(x1, x2, x3, x4) 14.49/14.65 f7(I0, I1, I2, I3) -> f2(I0, I1, I2, I3) [I0 <= 0] 14.49/14.65 f2(I4, I5, I6, I7) -> f6(I4, I5, I6, I7) [1 <= I7 /\ 1 <= I6] 14.49/14.65 f6(I8, I9, I10, I11) -> f5(I8, I9, -1 + I10, I11) 14.49/14.65 f6(I12, I13, I14, I15) -> f5(I12, I13, I14, -1 + I15) 14.49/14.65 f5(I16, I17, I18, I19) -> f1(I16, I17, I18, I19) [1 <= I16] 14.49/14.65 f5(I20, I21, I22, I23) -> f4(I20, I21, I22, I23) [I20 <= 0] 14.49/14.65 f4(I24, I25, I26, I27) -> f2(1, I26, I26, I27) 14.49/14.65 f4(I28, I29, I30, I31) -> f2(I28, I29, I30, I31) [I28 <= 0] 14.49/14.65 f1(I32, I33, I34, I35) -> f3(I32, I33, I34, I35) [I33 <= I34] 14.49/14.65 f1(I36, I37, I38, I39) -> f2(I36, I37, I38, I39) [1 + I38 <= I37] 14.49/14.65 14.49/14.65 The dependency graph for this problem is: 14.49/14.65 0 -> 1 14.49/14.65 1 -> 2 14.49/14.65 2 -> 3, 4 14.49/14.65 3 -> 5, 6 14.49/14.65 4 -> 5, 6 14.49/14.65 5 -> 9 14.49/14.65 6 -> 7, 8 14.49/14.65 7 -> 2 14.49/14.65 8 -> 2 14.49/14.65 9 -> 2 14.49/14.65 Where: 14.49/14.65 0) f8#(x1, x2, x3, x4) -> f7#(x1, x2, x3, x4) 14.49/14.65 1) f7#(I0, I1, I2, I3) -> f2#(I0, I1, I2, I3) [I0 <= 0] 14.49/14.65 2) f2#(I4, I5, I6, I7) -> f6#(I4, I5, I6, I7) [1 <= I7 /\ 1 <= I6] 14.49/14.65 3) f6#(I8, I9, I10, I11) -> f5#(I8, I9, -1 + I10, I11) 14.49/14.65 4) f6#(I12, I13, I14, I15) -> f5#(I12, I13, I14, -1 + I15) 14.49/14.65 5) f5#(I16, I17, I18, I19) -> f1#(I16, I17, I18, I19) [1 <= I16] 14.49/14.65 6) f5#(I20, I21, I22, I23) -> f4#(I20, I21, I22, I23) [I20 <= 0] 14.49/14.65 7) f4#(I24, I25, I26, I27) -> f2#(1, I26, I26, I27) 14.49/14.65 8) f4#(I28, I29, I30, I31) -> f2#(I28, I29, I30, I31) [I28 <= 0] 14.49/14.65 9) f1#(I36, I37, I38, I39) -> f2#(I36, I37, I38, I39) [1 + I38 <= I37] 14.49/14.65 14.49/14.65 We have the following SCCs. 14.49/14.65 { 2, 3, 4, 5, 6, 7, 8, 9 } 14.49/14.65 14.49/14.65 DP problem for innermost termination. 14.49/14.65 P = 14.49/14.65 f2#(I4, I5, I6, I7) -> f6#(I4, I5, I6, I7) [1 <= I7 /\ 1 <= I6] 14.49/14.65 f6#(I8, I9, I10, I11) -> f5#(I8, I9, -1 + I10, I11) 14.49/14.65 f6#(I12, I13, I14, I15) -> f5#(I12, I13, I14, -1 + I15) 14.49/14.65 f5#(I16, I17, I18, I19) -> f1#(I16, I17, I18, I19) [1 <= I16] 14.49/14.65 f5#(I20, I21, I22, I23) -> f4#(I20, I21, I22, I23) [I20 <= 0] 14.49/14.65 f4#(I24, I25, I26, I27) -> f2#(1, I26, I26, I27) 14.49/14.65 f4#(I28, I29, I30, I31) -> f2#(I28, I29, I30, I31) [I28 <= 0] 14.49/14.65 f1#(I36, I37, I38, I39) -> f2#(I36, I37, I38, I39) [1 + I38 <= I37] 14.49/14.65 R = 14.49/14.65 f8(x1, x2, x3, x4) -> f7(x1, x2, x3, x4) 14.49/14.65 f7(I0, I1, I2, I3) -> f2(I0, I1, I2, I3) [I0 <= 0] 14.49/14.65 f2(I4, I5, I6, I7) -> f6(I4, I5, I6, I7) [1 <= I7 /\ 1 <= I6] 14.49/14.65 f6(I8, I9, I10, I11) -> f5(I8, I9, -1 + I10, I11) 14.49/14.65 f6(I12, I13, I14, I15) -> f5(I12, I13, I14, -1 + I15) 14.49/14.65 f5(I16, I17, I18, I19) -> f1(I16, I17, I18, I19) [1 <= I16] 14.49/14.65 f5(I20, I21, I22, I23) -> f4(I20, I21, I22, I23) [I20 <= 0] 14.49/14.65 f4(I24, I25, I26, I27) -> f2(1, I26, I26, I27) 14.49/14.65 f4(I28, I29, I30, I31) -> f2(I28, I29, I30, I31) [I28 <= 0] 14.49/14.65 f1(I32, I33, I34, I35) -> f3(I32, I33, I34, I35) [I33 <= I34] 14.49/14.65 f1(I36, I37, I38, I39) -> f2(I36, I37, I38, I39) [1 + I38 <= I37] 14.49/14.65 14.49/17.62 EOF