39.19/38.57 MAYBE 39.19/38.57 39.19/38.57 DP problem for innermost termination. 39.19/38.57 P = 39.19/38.57 f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 39.19/38.57 f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3#(I0, I1, -1, 0, I4, I5, I6, I0, I1) 39.19/38.57 f2#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f3#(I9, I10, I11, I12, I13, I14, I15, -1 + I13, I17) 39.19/38.57 f2#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f3#(I18, I19, I20, 1 + I22, I22, I23, I24, I25, I26) 39.19/38.57 f3#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 39.19/38.57 f4#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f1#(I36, I37, I38, I39, rnd5, I41, I42, I43, I44) [rnd5 = rnd5 /\ I39 <= I43] 39.19/38.57 f1#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f2#(I54, I55, I56, I57, I58, I59, I60, I61, I62) 39.19/38.57 f1#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f3#(I63, I64, rnd3, I66, I67, I68, I69, -1 + I66, I71) [rnd3 = rnd3] 39.19/38.57 f1#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f2#(I72, I73, I74, I75, I76, I77, I78, I79, I80) 39.19/38.57 R = 39.19/38.57 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9) 39.19/38.57 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3(I0, I1, -1, 0, I4, I5, I6, I0, I1) 39.19/38.57 f2(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f3(I9, I10, I11, I12, I13, I14, I15, -1 + I13, I17) 39.19/38.57 f2(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f3(I18, I19, I20, 1 + I22, I22, I23, I24, I25, I26) 39.19/38.57 f3(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4(I27, I28, I29, I30, I31, I32, I33, I34, I35) 39.19/38.57 f4(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f1(I36, I37, I38, I39, rnd5, I41, I42, I43, I44) [rnd5 = rnd5 /\ I39 <= I43] 39.19/38.57 f4(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f5(I45, I46, I47, I48, I49, I47, I47, I52, I53) [1 + I52 <= I48] 39.19/38.57 f1(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f2(I54, I55, I56, I57, I58, I59, I60, I61, I62) 39.19/38.57 f1(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f3(I63, I64, rnd3, I66, I67, I68, I69, -1 + I66, I71) [rnd3 = rnd3] 39.19/38.57 f1(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f2(I72, I73, I74, I75, I76, I77, I78, I79, I80) 39.19/38.57 39.19/38.57 The dependency graph for this problem is: 39.19/38.57 0 -> 1 39.19/38.57 1 -> 4 39.19/38.57 2 -> 4 39.19/38.57 3 -> 4 39.19/38.57 4 -> 5 39.19/38.57 5 -> 6, 7, 8 39.19/38.57 6 -> 2, 3 39.19/38.57 7 -> 4 39.19/38.57 8 -> 2, 3 39.19/38.57 Where: 39.19/38.57 0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 39.19/38.57 1) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3#(I0, I1, -1, 0, I4, I5, I6, I0, I1) 39.19/38.57 2) f2#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f3#(I9, I10, I11, I12, I13, I14, I15, -1 + I13, I17) 39.19/38.57 3) f2#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f3#(I18, I19, I20, 1 + I22, I22, I23, I24, I25, I26) 39.19/38.57 4) f3#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 39.19/38.57 5) f4#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f1#(I36, I37, I38, I39, rnd5, I41, I42, I43, I44) [rnd5 = rnd5 /\ I39 <= I43] 39.19/38.57 6) f1#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f2#(I54, I55, I56, I57, I58, I59, I60, I61, I62) 39.19/38.57 7) f1#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f3#(I63, I64, rnd3, I66, I67, I68, I69, -1 + I66, I71) [rnd3 = rnd3] 39.19/38.57 8) f1#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f2#(I72, I73, I74, I75, I76, I77, I78, I79, I80) 39.19/38.57 39.19/38.57 We have the following SCCs. 39.19/38.57 { 2, 3, 4, 5, 6, 7, 8 } 39.19/38.57 39.19/38.57 DP problem for innermost termination. 39.19/38.57 P = 39.19/38.57 f2#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f3#(I9, I10, I11, I12, I13, I14, I15, -1 + I13, I17) 39.19/38.57 f2#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f3#(I18, I19, I20, 1 + I22, I22, I23, I24, I25, I26) 39.19/38.57 f3#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 39.19/38.57 f4#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f1#(I36, I37, I38, I39, rnd5, I41, I42, I43, I44) [rnd5 = rnd5 /\ I39 <= I43] 39.19/38.57 f1#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f2#(I54, I55, I56, I57, I58, I59, I60, I61, I62) 39.19/38.57 f1#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f3#(I63, I64, rnd3, I66, I67, I68, I69, -1 + I66, I71) [rnd3 = rnd3] 39.19/38.57 f1#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f2#(I72, I73, I74, I75, I76, I77, I78, I79, I80) 39.19/38.57 R = 39.19/38.57 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9) 39.19/38.57 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3(I0, I1, -1, 0, I4, I5, I6, I0, I1) 39.19/38.57 f2(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f3(I9, I10, I11, I12, I13, I14, I15, -1 + I13, I17) 39.19/38.57 f2(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f3(I18, I19, I20, 1 + I22, I22, I23, I24, I25, I26) 39.19/38.57 f3(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4(I27, I28, I29, I30, I31, I32, I33, I34, I35) 39.19/38.57 f4(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f1(I36, I37, I38, I39, rnd5, I41, I42, I43, I44) [rnd5 = rnd5 /\ I39 <= I43] 39.19/38.57 f4(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f5(I45, I46, I47, I48, I49, I47, I47, I52, I53) [1 + I52 <= I48] 39.19/38.57 f1(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f2(I54, I55, I56, I57, I58, I59, I60, I61, I62) 39.19/38.57 f1(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f3(I63, I64, rnd3, I66, I67, I68, I69, -1 + I66, I71) [rnd3 = rnd3] 39.19/38.57 f1(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f2(I72, I73, I74, I75, I76, I77, I78, I79, I80) 39.19/38.57 39.19/41.54 EOF