38.38/37.79 YES 38.38/37.79 38.38/37.79 DP problem for innermost termination. 38.38/37.79 P = 38.38/37.79 f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) 38.38/37.79 f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f3#(I0, rnd2, 1 + I2, I3, I4, I5, I6, I7, I8, rnd10, rnd11, I11, I12, rnd14, I13) [1 <= I4 /\ I13 <= rnd10 /\ rnd10 <= I13 /\ I13 <= rnd2 /\ rnd2 <= I13 /\ rnd10 <= rnd2 /\ rnd2 <= rnd10 /\ I4 <= rnd11 /\ rnd11 <= I4 /\ 1 + I2 <= 1 /\ 1 <= 1 + I2 /\ rnd2 = I13 /\ rnd14 = rnd14 /\ 1 + I2 <= I4 /\ rnd10 = rnd10 /\ rnd11 = rnd11] 38.38/37.79 f6#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) -> f5#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) 38.38/37.79 f5#(I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f6#(I49, I64, 1 + I51, rnd4, I53, I54, I55, rnd8, I57, I58, I59, I60, I61, I65, I62) [1 + rnd4 <= I53 /\ -1 + 1 + I51 <= rnd4 /\ rnd4 <= -1 + 1 + I51 /\ 1 + rnd4 <= 1 + I51 /\ 1 + I51 <= 1 + rnd4 /\ I64 = I62 /\ I65 = I65 /\ 1 + I51 <= I53 /\ rnd4 = rnd4 /\ rnd8 = rnd8 /\ 0 <= I51] 38.38/37.79 f3#(I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f5#(I92, I107, 1 + I94, I95, I96, I97, rnd7, I99, I100, I108, I109, I103, I104, I110, I105) [2 <= I96 /\ 1 <= I96 /\ I105 <= I108 /\ I108 <= I105 /\ I105 <= I107 /\ I107 <= I105 /\ I108 <= I107 /\ I107 <= I108 /\ I96 <= I109 /\ I109 <= I96 /\ 1 + I94 <= 2 /\ 2 <= 1 + I94 /\ I107 = I105 /\ I110 = I110 /\ 1 + I94 <= I96 /\ rnd7 = rnd7 /\ I108 = I108 /\ I109 = I109] 38.38/37.79 f1#(I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f2#(I137, 0, 0, I140, I152, rnd6, I143, I144, I145, I146, I153, I148, I149, I150, I151) [I154 = I154 /\ I153 = I154 /\ rnd6 = rnd6 /\ I152 = I153 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ I153 <= I152 /\ I152 <= I153] 38.38/37.79 R = 38.38/37.79 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) 38.38/37.79 f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f3(I0, rnd2, 1 + I2, I3, I4, I5, I6, I7, I8, rnd10, rnd11, I11, I12, rnd14, I13) [1 <= I4 /\ I13 <= rnd10 /\ rnd10 <= I13 /\ I13 <= rnd2 /\ rnd2 <= I13 /\ rnd10 <= rnd2 /\ rnd2 <= rnd10 /\ I4 <= rnd11 /\ rnd11 <= I4 /\ 1 + I2 <= 1 /\ 1 <= 1 + I2 /\ rnd2 = I13 /\ rnd14 = rnd14 /\ 1 + I2 <= I4 /\ rnd10 = rnd10 /\ rnd11 = rnd11] 38.38/37.79 f2(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f4(rnd1, I30, rnd3, I18, rnd5, I20, I21, I22, I26, I31, I32, I26, rnd13, I33, rnd15) [I32 = I32 /\ I19 <= I17 /\ y3 = I16 /\ y1 = y3 /\ rnd5 = rnd5 /\ rnd3 = rnd3 /\ rnd13 = rnd13 /\ I30 = I30 /\ I31 = I31 /\ rnd15 = rnd15 /\ I33 = I33 /\ rnd1 = y1 /\ y2 = y2 /\ I32 <= 0] 38.38/37.79 f6(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) -> f5(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) 38.38/37.79 f5(I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f6(I49, I64, 1 + I51, rnd4, I53, I54, I55, rnd8, I57, I58, I59, I60, I61, I65, I62) [1 + rnd4 <= I53 /\ -1 + 1 + I51 <= rnd4 /\ rnd4 <= -1 + 1 + I51 /\ 1 + rnd4 <= 1 + I51 /\ 1 + I51 <= 1 + rnd4 /\ I64 = I62 /\ I65 = I65 /\ 1 + I51 <= I53 /\ rnd4 = rnd4 /\ rnd8 = rnd8 /\ 0 <= I51] 38.38/37.79 f5(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f4(I81, I82, I83, I69, I84, I71, I72, I73, I77, I85, I86, I77, I87, I88, I89) [0 <= I68 /\ I86 = I86 /\ I70 <= I68 /\ I90 = I67 /\ I91 = I90 /\ I84 = I84 /\ I83 = I83 /\ I87 = I87 /\ I82 = I82 /\ I85 = I85 /\ I89 = I89 /\ I88 = I88 /\ I81 = I91 /\ B0 = B0 /\ 1 <= I86 /\ 2 <= I86 /\ I86 <= I83] 38.38/37.79 f3(I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f5(I92, I107, 1 + I94, I95, I96, I97, rnd7, I99, I100, I108, I109, I103, I104, I110, I105) [2 <= I96 /\ 1 <= I96 /\ I105 <= I108 /\ I108 <= I105 /\ I105 <= I107 /\ I107 <= I105 /\ I108 <= I107 /\ I107 <= I108 /\ I96 <= I109 /\ I109 <= I96 /\ 1 + I94 <= 2 /\ 2 <= 1 + I94 /\ I107 = I105 /\ I110 = I110 /\ 1 + I94 <= I96 /\ rnd7 = rnd7 /\ I108 = I108 /\ I109 = I109] 38.38/37.79 f3(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f4(I126, I127, I128, I114, I129, I116, I117, I118, I122, I130, I131, I122, I132, I133, I134) [I131 = I131 /\ I115 <= I113 /\ I135 = I112 /\ I136 = I135 /\ I129 = I129 /\ I128 = I128 /\ I132 = I132 /\ I127 = I127 /\ I130 = I130 /\ I134 = I134 /\ I133 = I133 /\ I126 = I136 /\ B1 = B1 /\ 1 <= I131 /\ I131 <= 1 /\ 1 <= I131 /\ I131 <= 1] 38.38/37.79 f1(I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f2(I137, 0, 0, I140, I152, rnd6, I143, I144, I145, I146, I153, I148, I149, I150, I151) [I154 = I154 /\ I153 = I154 /\ rnd6 = rnd6 /\ I152 = I153 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ I153 <= I152 /\ I152 <= I153] 38.38/37.79 38.38/37.79 The dependency graph for this problem is: 38.38/37.79 0 -> 5 38.38/37.79 1 -> 4 38.38/37.79 2 -> 3 38.38/37.79 3 -> 2 38.38/37.79 4 -> 3 38.38/37.79 5 -> 1 38.38/37.79 Where: 38.38/37.79 0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) 38.38/37.79 1) f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f3#(I0, rnd2, 1 + I2, I3, I4, I5, I6, I7, I8, rnd10, rnd11, I11, I12, rnd14, I13) [1 <= I4 /\ I13 <= rnd10 /\ rnd10 <= I13 /\ I13 <= rnd2 /\ rnd2 <= I13 /\ rnd10 <= rnd2 /\ rnd2 <= rnd10 /\ I4 <= rnd11 /\ rnd11 <= I4 /\ 1 + I2 <= 1 /\ 1 <= 1 + I2 /\ rnd2 = I13 /\ rnd14 = rnd14 /\ 1 + I2 <= I4 /\ rnd10 = rnd10 /\ rnd11 = rnd11] 38.38/37.79 2) f6#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) -> f5#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) 38.38/37.79 3) f5#(I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f6#(I49, I64, 1 + I51, rnd4, I53, I54, I55, rnd8, I57, I58, I59, I60, I61, I65, I62) [1 + rnd4 <= I53 /\ -1 + 1 + I51 <= rnd4 /\ rnd4 <= -1 + 1 + I51 /\ 1 + rnd4 <= 1 + I51 /\ 1 + I51 <= 1 + rnd4 /\ I64 = I62 /\ I65 = I65 /\ 1 + I51 <= I53 /\ rnd4 = rnd4 /\ rnd8 = rnd8 /\ 0 <= I51] 38.38/37.79 4) f3#(I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f5#(I92, I107, 1 + I94, I95, I96, I97, rnd7, I99, I100, I108, I109, I103, I104, I110, I105) [2 <= I96 /\ 1 <= I96 /\ I105 <= I108 /\ I108 <= I105 /\ I105 <= I107 /\ I107 <= I105 /\ I108 <= I107 /\ I107 <= I108 /\ I96 <= I109 /\ I109 <= I96 /\ 1 + I94 <= 2 /\ 2 <= 1 + I94 /\ I107 = I105 /\ I110 = I110 /\ 1 + I94 <= I96 /\ rnd7 = rnd7 /\ I108 = I108 /\ I109 = I109] 38.38/37.79 5) f1#(I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f2#(I137, 0, 0, I140, I152, rnd6, I143, I144, I145, I146, I153, I148, I149, I150, I151) [I154 = I154 /\ I153 = I154 /\ rnd6 = rnd6 /\ I152 = I153 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ I153 <= I152 /\ I152 <= I153] 38.38/37.79 38.38/37.79 We have the following SCCs. 38.38/37.79 { 2, 3 } 38.38/37.79 38.38/37.79 DP problem for innermost termination. 38.38/37.79 P = 38.38/37.79 f6#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) -> f5#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) 38.38/37.79 f5#(I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f6#(I49, I64, 1 + I51, rnd4, I53, I54, I55, rnd8, I57, I58, I59, I60, I61, I65, I62) [1 + rnd4 <= I53 /\ -1 + 1 + I51 <= rnd4 /\ rnd4 <= -1 + 1 + I51 /\ 1 + rnd4 <= 1 + I51 /\ 1 + I51 <= 1 + rnd4 /\ I64 = I62 /\ I65 = I65 /\ 1 + I51 <= I53 /\ rnd4 = rnd4 /\ rnd8 = rnd8 /\ 0 <= I51] 38.38/37.79 R = 38.38/37.79 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) 38.38/37.79 f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f3(I0, rnd2, 1 + I2, I3, I4, I5, I6, I7, I8, rnd10, rnd11, I11, I12, rnd14, I13) [1 <= I4 /\ I13 <= rnd10 /\ rnd10 <= I13 /\ I13 <= rnd2 /\ rnd2 <= I13 /\ rnd10 <= rnd2 /\ rnd2 <= rnd10 /\ I4 <= rnd11 /\ rnd11 <= I4 /\ 1 + I2 <= 1 /\ 1 <= 1 + I2 /\ rnd2 = I13 /\ rnd14 = rnd14 /\ 1 + I2 <= I4 /\ rnd10 = rnd10 /\ rnd11 = rnd11] 38.38/37.79 f2(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f4(rnd1, I30, rnd3, I18, rnd5, I20, I21, I22, I26, I31, I32, I26, rnd13, I33, rnd15) [I32 = I32 /\ I19 <= I17 /\ y3 = I16 /\ y1 = y3 /\ rnd5 = rnd5 /\ rnd3 = rnd3 /\ rnd13 = rnd13 /\ I30 = I30 /\ I31 = I31 /\ rnd15 = rnd15 /\ I33 = I33 /\ rnd1 = y1 /\ y2 = y2 /\ I32 <= 0] 38.38/37.79 f6(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) -> f5(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) 38.38/37.79 f5(I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f6(I49, I64, 1 + I51, rnd4, I53, I54, I55, rnd8, I57, I58, I59, I60, I61, I65, I62) [1 + rnd4 <= I53 /\ -1 + 1 + I51 <= rnd4 /\ rnd4 <= -1 + 1 + I51 /\ 1 + rnd4 <= 1 + I51 /\ 1 + I51 <= 1 + rnd4 /\ I64 = I62 /\ I65 = I65 /\ 1 + I51 <= I53 /\ rnd4 = rnd4 /\ rnd8 = rnd8 /\ 0 <= I51] 38.38/37.79 f5(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f4(I81, I82, I83, I69, I84, I71, I72, I73, I77, I85, I86, I77, I87, I88, I89) [0 <= I68 /\ I86 = I86 /\ I70 <= I68 /\ I90 = I67 /\ I91 = I90 /\ I84 = I84 /\ I83 = I83 /\ I87 = I87 /\ I82 = I82 /\ I85 = I85 /\ I89 = I89 /\ I88 = I88 /\ I81 = I91 /\ B0 = B0 /\ 1 <= I86 /\ 2 <= I86 /\ I86 <= I83] 38.38/37.79 f3(I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f5(I92, I107, 1 + I94, I95, I96, I97, rnd7, I99, I100, I108, I109, I103, I104, I110, I105) [2 <= I96 /\ 1 <= I96 /\ I105 <= I108 /\ I108 <= I105 /\ I105 <= I107 /\ I107 <= I105 /\ I108 <= I107 /\ I107 <= I108 /\ I96 <= I109 /\ I109 <= I96 /\ 1 + I94 <= 2 /\ 2 <= 1 + I94 /\ I107 = I105 /\ I110 = I110 /\ 1 + I94 <= I96 /\ rnd7 = rnd7 /\ I108 = I108 /\ I109 = I109] 38.38/37.79 f3(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f4(I126, I127, I128, I114, I129, I116, I117, I118, I122, I130, I131, I122, I132, I133, I134) [I131 = I131 /\ I115 <= I113 /\ I135 = I112 /\ I136 = I135 /\ I129 = I129 /\ I128 = I128 /\ I132 = I132 /\ I127 = I127 /\ I130 = I130 /\ I134 = I134 /\ I133 = I133 /\ I126 = I136 /\ B1 = B1 /\ 1 <= I131 /\ I131 <= 1 /\ 1 <= I131 /\ I131 <= 1] 38.38/37.79 f1(I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f2(I137, 0, 0, I140, I152, rnd6, I143, I144, I145, I146, I153, I148, I149, I150, I151) [I154 = I154 /\ I153 = I154 /\ rnd6 = rnd6 /\ I152 = I153 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ I153 <= I152 /\ I152 <= I153] 38.38/37.79 38.38/37.79 We use the reverse value criterion with the projection function NU: 38.38/37.79 NU[f5#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15)] = z5 + -1 * (1 + z3) 38.38/37.79 NU[f6#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15)] = z5 + -1 * (1 + z3) 38.38/37.79 38.38/37.79 This gives the following inequalities: 38.38/37.79 ==> I38 + -1 * (1 + I36) >= I38 + -1 * (1 + I36) 38.38/37.79 1 + rnd4 <= I53 /\ -1 + 1 + I51 <= rnd4 /\ rnd4 <= -1 + 1 + I51 /\ 1 + rnd4 <= 1 + I51 /\ 1 + I51 <= 1 + rnd4 /\ I64 = I62 /\ I65 = I65 /\ 1 + I51 <= I53 /\ rnd4 = rnd4 /\ rnd8 = rnd8 /\ 0 <= I51 ==> I53 + -1 * (1 + I51) > I53 + -1 * (1 + (1 + I51)) with I53 + -1 * (1 + I51) >= 0 38.38/37.79 38.38/37.79 We remove all the strictly oriented dependency pairs. 38.38/37.79 38.38/37.79 DP problem for innermost termination. 38.38/37.79 P = 38.38/37.79 f6#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) -> f5#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) 38.38/37.80 R = 38.38/37.80 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) 38.38/37.80 f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f3(I0, rnd2, 1 + I2, I3, I4, I5, I6, I7, I8, rnd10, rnd11, I11, I12, rnd14, I13) [1 <= I4 /\ I13 <= rnd10 /\ rnd10 <= I13 /\ I13 <= rnd2 /\ rnd2 <= I13 /\ rnd10 <= rnd2 /\ rnd2 <= rnd10 /\ I4 <= rnd11 /\ rnd11 <= I4 /\ 1 + I2 <= 1 /\ 1 <= 1 + I2 /\ rnd2 = I13 /\ rnd14 = rnd14 /\ 1 + I2 <= I4 /\ rnd10 = rnd10 /\ rnd11 = rnd11] 38.38/37.80 f2(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f4(rnd1, I30, rnd3, I18, rnd5, I20, I21, I22, I26, I31, I32, I26, rnd13, I33, rnd15) [I32 = I32 /\ I19 <= I17 /\ y3 = I16 /\ y1 = y3 /\ rnd5 = rnd5 /\ rnd3 = rnd3 /\ rnd13 = rnd13 /\ I30 = I30 /\ I31 = I31 /\ rnd15 = rnd15 /\ I33 = I33 /\ rnd1 = y1 /\ y2 = y2 /\ I32 <= 0] 38.38/37.80 f6(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) -> f5(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) 38.38/37.80 f5(I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f6(I49, I64, 1 + I51, rnd4, I53, I54, I55, rnd8, I57, I58, I59, I60, I61, I65, I62) [1 + rnd4 <= I53 /\ -1 + 1 + I51 <= rnd4 /\ rnd4 <= -1 + 1 + I51 /\ 1 + rnd4 <= 1 + I51 /\ 1 + I51 <= 1 + rnd4 /\ I64 = I62 /\ I65 = I65 /\ 1 + I51 <= I53 /\ rnd4 = rnd4 /\ rnd8 = rnd8 /\ 0 <= I51] 38.38/37.80 f5(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f4(I81, I82, I83, I69, I84, I71, I72, I73, I77, I85, I86, I77, I87, I88, I89) [0 <= I68 /\ I86 = I86 /\ I70 <= I68 /\ I90 = I67 /\ I91 = I90 /\ I84 = I84 /\ I83 = I83 /\ I87 = I87 /\ I82 = I82 /\ I85 = I85 /\ I89 = I89 /\ I88 = I88 /\ I81 = I91 /\ B0 = B0 /\ 1 <= I86 /\ 2 <= I86 /\ I86 <= I83] 38.38/37.80 f3(I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f5(I92, I107, 1 + I94, I95, I96, I97, rnd7, I99, I100, I108, I109, I103, I104, I110, I105) [2 <= I96 /\ 1 <= I96 /\ I105 <= I108 /\ I108 <= I105 /\ I105 <= I107 /\ I107 <= I105 /\ I108 <= I107 /\ I107 <= I108 /\ I96 <= I109 /\ I109 <= I96 /\ 1 + I94 <= 2 /\ 2 <= 1 + I94 /\ I107 = I105 /\ I110 = I110 /\ 1 + I94 <= I96 /\ rnd7 = rnd7 /\ I108 = I108 /\ I109 = I109] 38.38/37.80 f3(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f4(I126, I127, I128, I114, I129, I116, I117, I118, I122, I130, I131, I122, I132, I133, I134) [I131 = I131 /\ I115 <= I113 /\ I135 = I112 /\ I136 = I135 /\ I129 = I129 /\ I128 = I128 /\ I132 = I132 /\ I127 = I127 /\ I130 = I130 /\ I134 = I134 /\ I133 = I133 /\ I126 = I136 /\ B1 = B1 /\ 1 <= I131 /\ I131 <= 1 /\ 1 <= I131 /\ I131 <= 1] 38.38/37.80 f1(I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f2(I137, 0, 0, I140, I152, rnd6, I143, I144, I145, I146, I153, I148, I149, I150, I151) [I154 = I154 /\ I153 = I154 /\ rnd6 = rnd6 /\ I152 = I153 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ 0 <= 0 /\ I153 <= I152 /\ I152 <= I153] 38.38/37.80 38.38/37.80 The dependency graph for this problem is: 38.38/37.80 2 -> 38.38/37.80 Where: 38.38/37.80 2) f6#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) -> f5#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48) 38.38/37.80 38.38/37.80 We have the following SCCs. 38.38/37.80 38.38/40.75 EOF