2.76/2.82 MAYBE 2.76/2.82 2.76/2.82 DP problem for innermost termination. 2.76/2.82 P = 2.76/2.82 f5#(x1, x2, x3, x4) -> f1#(x1, x2, x3, x4) 2.76/2.82 f4#(I0, I1, I2, I3) -> f2#(I0, I1, I2, I3) 2.76/2.82 f2#(I4, I5, I6, I7) -> f4#(I4, I5, I6 + I7, -1 + I7) [1 <= I6] 2.76/2.82 f1#(I12, I13, I14, I15) -> f2#(I12, I13, I14, I15) 2.76/2.82 R = 2.76/2.82 f5(x1, x2, x3, x4) -> f1(x1, x2, x3, x4) 2.76/2.82 f4(I0, I1, I2, I3) -> f2(I0, I1, I2, I3) 2.76/2.82 f2(I4, I5, I6, I7) -> f4(I4, I5, I6 + I7, -1 + I7) [1 <= I6] 2.76/2.82 f2(I8, I9, I10, I11) -> f3(I9, I9, I10, I11) [I10 <= 0] 2.76/2.82 f1(I12, I13, I14, I15) -> f2(I12, I13, I14, I15) 2.76/2.82 2.76/2.82 The dependency graph for this problem is: 2.76/2.82 0 -> 3 2.76/2.82 1 -> 2 2.76/2.82 2 -> 1 2.76/2.82 3 -> 2 2.76/2.82 Where: 2.76/2.82 0) f5#(x1, x2, x3, x4) -> f1#(x1, x2, x3, x4) 2.76/2.82 1) f4#(I0, I1, I2, I3) -> f2#(I0, I1, I2, I3) 2.76/2.82 2) f2#(I4, I5, I6, I7) -> f4#(I4, I5, I6 + I7, -1 + I7) [1 <= I6] 2.76/2.82 3) f1#(I12, I13, I14, I15) -> f2#(I12, I13, I14, I15) 2.76/2.82 2.76/2.82 We have the following SCCs. 2.76/2.82 { 1, 2 } 2.76/2.82 2.76/2.82 DP problem for innermost termination. 2.76/2.82 P = 2.76/2.82 f4#(I0, I1, I2, I3) -> f2#(I0, I1, I2, I3) 2.76/2.82 f2#(I4, I5, I6, I7) -> f4#(I4, I5, I6 + I7, -1 + I7) [1 <= I6] 2.76/2.82 R = 2.76/2.82 f5(x1, x2, x3, x4) -> f1(x1, x2, x3, x4) 2.76/2.82 f4(I0, I1, I2, I3) -> f2(I0, I1, I2, I3) 2.76/2.82 f2(I4, I5, I6, I7) -> f4(I4, I5, I6 + I7, -1 + I7) [1 <= I6] 2.76/2.82 f2(I8, I9, I10, I11) -> f3(I9, I9, I10, I11) [I10 <= 0] 2.76/2.82 f1(I12, I13, I14, I15) -> f2(I12, I13, I14, I15) 2.76/2.82 2.76/5.80 EOF