25.81/25.42 MAYBE 25.81/25.42 25.81/25.42 DP problem for innermost termination. 25.81/25.42 P = 25.81/25.42 f7#(x1, x2, x3, x4, x5, x6, x7) -> f6#(x1, x2, x3, x4, x5, x6, x7) 25.81/25.42 f6#(I0, I1, I2, I3, I4, I5, I6) -> f3#(-1, 0, I2, I3, I4, 14, 8) 25.81/25.42 f2#(I7, I8, I9, I10, I11, I12, I13) -> f3#(I7, I8, I9, I10, I11, -1 + I9, I13) 25.81/25.42 f2#(I14, I15, I16, I17, I18, I19, I20) -> f3#(I14, 1 + I16, I16, I17, I18, I19, I20) 25.81/25.42 f3#(I21, I22, I23, I24, I25, I26, I27) -> f4#(I21, I22, I23, I24, I25, I26, I27) 25.81/25.42 f4#(I28, I29, I30, I31, I32, I33, I34) -> f1#(I28, I29, rnd3, I31, I32, I33, I34) [rnd3 = rnd3 /\ I29 <= I33] 25.81/25.42 f1#(I42, I43, I44, I45, I46, I47, I48) -> f2#(I42, I43, I44, I45, I46, I47, I48) 25.81/25.42 f1#(I49, I50, I51, I52, I53, I54, I55) -> f3#(rnd1, I50, I51, I52, I53, -1 + I50, I55) [rnd1 = rnd1] 25.81/25.42 f1#(I56, I57, I58, I59, I60, I61, I62) -> f2#(I56, I57, I58, I59, I60, I61, I62) 25.81/25.42 R = 25.81/25.42 f7(x1, x2, x3, x4, x5, x6, x7) -> f6(x1, x2, x3, x4, x5, x6, x7) 25.81/25.42 f6(I0, I1, I2, I3, I4, I5, I6) -> f3(-1, 0, I2, I3, I4, 14, 8) 25.81/25.42 f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, I9, I10, I11, -1 + I9, I13) 25.81/25.42 f2(I14, I15, I16, I17, I18, I19, I20) -> f3(I14, 1 + I16, I16, I17, I18, I19, I20) 25.81/25.42 f3(I21, I22, I23, I24, I25, I26, I27) -> f4(I21, I22, I23, I24, I25, I26, I27) 25.81/25.42 f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, I29, rnd3, I31, I32, I33, I34) [rnd3 = rnd3 /\ I29 <= I33] 25.81/25.42 f4(I35, I36, I37, I38, I39, I40, I41) -> f5(I35, I36, I37, I35, I35, I40, I41) [1 + I40 <= I36] 25.81/25.42 f1(I42, I43, I44, I45, I46, I47, I48) -> f2(I42, I43, I44, I45, I46, I47, I48) 25.81/25.42 f1(I49, I50, I51, I52, I53, I54, I55) -> f3(rnd1, I50, I51, I52, I53, -1 + I50, I55) [rnd1 = rnd1] 25.81/25.42 f1(I56, I57, I58, I59, I60, I61, I62) -> f2(I56, I57, I58, I59, I60, I61, I62) 25.81/25.42 25.81/25.42 The dependency graph for this problem is: 25.81/25.42 0 -> 1 25.81/25.42 1 -> 4 25.81/25.42 2 -> 4 25.81/25.42 3 -> 4 25.81/25.42 4 -> 5 25.81/25.42 5 -> 6, 7, 8 25.81/25.42 6 -> 2, 3 25.81/25.42 7 -> 4 25.81/25.42 8 -> 2, 3 25.81/25.42 Where: 25.81/25.42 0) f7#(x1, x2, x3, x4, x5, x6, x7) -> f6#(x1, x2, x3, x4, x5, x6, x7) 25.81/25.42 1) f6#(I0, I1, I2, I3, I4, I5, I6) -> f3#(-1, 0, I2, I3, I4, 14, 8) 25.81/25.42 2) f2#(I7, I8, I9, I10, I11, I12, I13) -> f3#(I7, I8, I9, I10, I11, -1 + I9, I13) 25.81/25.42 3) f2#(I14, I15, I16, I17, I18, I19, I20) -> f3#(I14, 1 + I16, I16, I17, I18, I19, I20) 25.81/25.42 4) f3#(I21, I22, I23, I24, I25, I26, I27) -> f4#(I21, I22, I23, I24, I25, I26, I27) 25.81/25.42 5) f4#(I28, I29, I30, I31, I32, I33, I34) -> f1#(I28, I29, rnd3, I31, I32, I33, I34) [rnd3 = rnd3 /\ I29 <= I33] 25.81/25.42 6) f1#(I42, I43, I44, I45, I46, I47, I48) -> f2#(I42, I43, I44, I45, I46, I47, I48) 25.81/25.42 7) f1#(I49, I50, I51, I52, I53, I54, I55) -> f3#(rnd1, I50, I51, I52, I53, -1 + I50, I55) [rnd1 = rnd1] 25.81/25.42 8) f1#(I56, I57, I58, I59, I60, I61, I62) -> f2#(I56, I57, I58, I59, I60, I61, I62) 25.81/25.42 25.81/25.42 We have the following SCCs. 25.81/25.42 { 2, 3, 4, 5, 6, 7, 8 } 25.81/25.42 25.81/25.42 DP problem for innermost termination. 25.81/25.42 P = 25.81/25.42 f2#(I7, I8, I9, I10, I11, I12, I13) -> f3#(I7, I8, I9, I10, I11, -1 + I9, I13) 25.81/25.42 f2#(I14, I15, I16, I17, I18, I19, I20) -> f3#(I14, 1 + I16, I16, I17, I18, I19, I20) 25.81/25.42 f3#(I21, I22, I23, I24, I25, I26, I27) -> f4#(I21, I22, I23, I24, I25, I26, I27) 25.81/25.42 f4#(I28, I29, I30, I31, I32, I33, I34) -> f1#(I28, I29, rnd3, I31, I32, I33, I34) [rnd3 = rnd3 /\ I29 <= I33] 25.81/25.42 f1#(I42, I43, I44, I45, I46, I47, I48) -> f2#(I42, I43, I44, I45, I46, I47, I48) 25.81/25.42 f1#(I49, I50, I51, I52, I53, I54, I55) -> f3#(rnd1, I50, I51, I52, I53, -1 + I50, I55) [rnd1 = rnd1] 25.81/25.42 f1#(I56, I57, I58, I59, I60, I61, I62) -> f2#(I56, I57, I58, I59, I60, I61, I62) 25.81/25.42 R = 25.81/25.42 f7(x1, x2, x3, x4, x5, x6, x7) -> f6(x1, x2, x3, x4, x5, x6, x7) 25.81/25.42 f6(I0, I1, I2, I3, I4, I5, I6) -> f3(-1, 0, I2, I3, I4, 14, 8) 25.81/25.42 f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, I9, I10, I11, -1 + I9, I13) 25.81/25.42 f2(I14, I15, I16, I17, I18, I19, I20) -> f3(I14, 1 + I16, I16, I17, I18, I19, I20) 25.81/25.42 f3(I21, I22, I23, I24, I25, I26, I27) -> f4(I21, I22, I23, I24, I25, I26, I27) 25.81/25.42 f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, I29, rnd3, I31, I32, I33, I34) [rnd3 = rnd3 /\ I29 <= I33] 25.81/25.42 f4(I35, I36, I37, I38, I39, I40, I41) -> f5(I35, I36, I37, I35, I35, I40, I41) [1 + I40 <= I36] 25.81/25.42 f1(I42, I43, I44, I45, I46, I47, I48) -> f2(I42, I43, I44, I45, I46, I47, I48) 25.81/25.42 f1(I49, I50, I51, I52, I53, I54, I55) -> f3(rnd1, I50, I51, I52, I53, -1 + I50, I55) [rnd1 = rnd1] 25.81/25.42 f1(I56, I57, I58, I59, I60, I61, I62) -> f2(I56, I57, I58, I59, I60, I61, I62) 25.81/25.42 25.81/28.40 EOF