49.48/49.08 MAYBE 49.48/49.08 49.48/49.08 DP problem for innermost termination. 49.48/49.08 P = 49.48/49.08 f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 49.48/49.08 f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) 49.48/49.08 f6#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f7#(I10, I11, rnd3, I13, I14, I15, I16, I17, I18, I19) [rnd3 = rnd3] 49.48/49.08 f5#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I20 = I20] 49.48/49.08 f2#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I30, rnd2, I32, rnd4, I34, I35, rnd7, I37, I38, I39) [1 + I31 <= I39 /\ rnd2 = rnd2 /\ y1 = y1 /\ rnd7 = y1 /\ rnd4 = rnd4] 49.48/49.08 f4#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f2#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) 49.48/49.08 f2#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f4#(I50, I60, I52, I61, I54, I55, I62, I57, I58, I59) [1 + I51 <= I59 /\ I60 = I60 /\ I63 = I63 /\ I62 = I63 /\ I61 = I61 /\ 0 <= I62 /\ I62 <= 0] 49.48/49.08 f1#(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f2#(I75, I76, I77, I78, I83, I80, I81, I82, I83, I84) 49.48/49.08 R = 49.48/49.08 f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 49.48/49.08 f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) 49.48/49.08 f6(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f7(I10, I11, rnd3, I13, I14, I15, I16, I17, I18, I19) [rnd3 = rnd3] 49.48/49.08 f5(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I20 = I20] 49.48/49.08 f2(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f5(I30, rnd2, I32, rnd4, I34, I35, rnd7, I37, I38, I39) [1 + I31 <= I39 /\ rnd2 = rnd2 /\ y1 = y1 /\ rnd7 = y1 /\ rnd4 = rnd4] 49.48/49.08 f4(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f2(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) 49.48/49.08 f2(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f4(I50, I60, I52, I61, I54, I55, I62, I57, I58, I59) [1 + I51 <= I59 /\ I60 = I60 /\ I63 = I63 /\ I62 = I63 /\ I61 = I61 /\ 0 <= I62 /\ I62 <= 0] 49.48/49.08 f2(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73) -> f3(I64, I74, I66, I67, I68, I71, I70, I71, I72, I73) [I74 = I74 /\ I73 <= I65] 49.48/49.08 f1(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f2(I75, I76, I77, I78, I83, I80, I81, I82, I83, I84) 49.48/49.08 49.48/49.08 The dependency graph for this problem is: 49.48/49.08 0 -> 7 49.48/49.08 1 -> 4, 6 49.48/49.08 2 -> 1 49.48/49.08 3 -> 2 49.48/49.08 4 -> 3 49.48/49.08 5 -> 4, 6 49.48/49.08 6 -> 5 49.48/49.08 7 -> 4, 6 49.48/49.08 Where: 49.48/49.08 0) f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 49.48/49.08 1) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) 49.48/49.08 2) f6#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f7#(I10, I11, rnd3, I13, I14, I15, I16, I17, I18, I19) [rnd3 = rnd3] 49.48/49.08 3) f5#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I20 = I20] 49.48/49.08 4) f2#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I30, rnd2, I32, rnd4, I34, I35, rnd7, I37, I38, I39) [1 + I31 <= I39 /\ rnd2 = rnd2 /\ y1 = y1 /\ rnd7 = y1 /\ rnd4 = rnd4] 49.48/49.08 5) f4#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f2#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) 49.48/49.08 6) f2#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f4#(I50, I60, I52, I61, I54, I55, I62, I57, I58, I59) [1 + I51 <= I59 /\ I60 = I60 /\ I63 = I63 /\ I62 = I63 /\ I61 = I61 /\ 0 <= I62 /\ I62 <= 0] 49.48/49.08 7) f1#(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f2#(I75, I76, I77, I78, I83, I80, I81, I82, I83, I84) 49.48/49.08 49.48/49.08 We have the following SCCs. 49.48/49.08 { 1, 2, 3, 4, 5, 6 } 49.48/49.08 49.48/49.08 DP problem for innermost termination. 49.48/49.08 P = 49.48/49.08 f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) 49.48/49.08 f6#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f7#(I10, I11, rnd3, I13, I14, I15, I16, I17, I18, I19) [rnd3 = rnd3] 49.48/49.08 f5#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I20 = I20] 49.48/49.08 f2#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I30, rnd2, I32, rnd4, I34, I35, rnd7, I37, I38, I39) [1 + I31 <= I39 /\ rnd2 = rnd2 /\ y1 = y1 /\ rnd7 = y1 /\ rnd4 = rnd4] 49.48/49.08 f4#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f2#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) 49.48/49.08 f2#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f4#(I50, I60, I52, I61, I54, I55, I62, I57, I58, I59) [1 + I51 <= I59 /\ I60 = I60 /\ I63 = I63 /\ I62 = I63 /\ I61 = I61 /\ 0 <= I62 /\ I62 <= 0] 49.48/49.08 R = 49.48/49.08 f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 49.48/49.08 f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) 49.48/49.08 f6(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f7(I10, I11, rnd3, I13, I14, I15, I16, I17, I18, I19) [rnd3 = rnd3] 49.48/49.08 f5(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I20 = I20] 49.48/49.08 f2(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f5(I30, rnd2, I32, rnd4, I34, I35, rnd7, I37, I38, I39) [1 + I31 <= I39 /\ rnd2 = rnd2 /\ y1 = y1 /\ rnd7 = y1 /\ rnd4 = rnd4] 49.48/49.08 f4(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f2(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) 49.48/49.08 f2(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f4(I50, I60, I52, I61, I54, I55, I62, I57, I58, I59) [1 + I51 <= I59 /\ I60 = I60 /\ I63 = I63 /\ I62 = I63 /\ I61 = I61 /\ 0 <= I62 /\ I62 <= 0] 49.48/49.08 f2(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73) -> f3(I64, I74, I66, I67, I68, I71, I70, I71, I72, I73) [I74 = I74 /\ I73 <= I65] 49.48/49.08 f1(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f2(I75, I76, I77, I78, I83, I80, I81, I82, I83, I84) 49.48/49.08 49.48/52.05 EOF