162.61/160.13 MAYBE 162.61/160.13 162.61/160.13 DP problem for innermost termination. 162.61/160.13 P = 162.61/160.13 f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 162.61/160.13 f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f5#(0, I1, rnd3, I3, rnd5, 1, I6, 0, 0, I9, rnd11, I11, rnd13) [rnd5 <= rnd3 /\ rnd3 = rnd3 /\ 1 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= rnd11 /\ rnd11 = rnd11 /\ 1 <= rnd13 /\ rnd13 = rnd13] 162.61/160.13 f5#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2#(0, I14, 1 + I15, I16, I17, 1, I19, I20, I21, I22, I23, 1 + I15, I25) 162.61/160.13 f2#(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f5#(1, I27, I28, I29, I30, I31, I32, 0, 0, I35, I36, I37, I38) [1 + I37 <= I30] 162.61/160.13 f2#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f5#(1, I40, I41, I42, I43, I44, I45, 0, 0, I48, I49, I50, I51) [I51 <= I49] 162.61/160.13 f2#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f4#(I52, I53, I54, I55, I56, I57, I58, I59, I60, rnd10, I62, I63, I64) [rnd10 = rnd10 /\ 1 + I62 <= I64 /\ I56 <= I63] 162.61/160.13 f4#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3#(I65, rnd2, I78, I68, I69, I70, I71, I72, I73, I79, I75, I76, I77) [I79 = I79 /\ I78 = rnd2 + I67 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 2 <= I74] 162.61/160.13 f4#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92) -> f3#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I93, I90, I91, I92) [I93 = I93 /\ I89 <= 1] 162.61/160.13 f3#(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f2#(I94, I107, I96, I96 - I98, I108, I99, -1 * I98 + I105, I101, 1, I109, I110, I105, I106) [I109 = I109 /\ 1 <= I110 /\ I110 = I110 /\ I108 = I107 + I98 /\ I107 <= -1 * I98 + I105 /\ I107 <= I96 - I98 /\ I105 <= I107 /\ I107 = I107 /\ 2 <= I103] 162.61/160.13 f3#(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123) -> f1#(I111, I112, I113, I114, I115, I116, I117, 1, I119, I124, I121, I122, I123) [I124 = I124 /\ I120 <= 1] 162.61/160.13 f1#(I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f2#(I125, I138, I127, I128, I129, I130, I131, I132, I133, I139, I140, I136, I137) [I139 = I139 /\ I140 = I138 + I135 /\ 1 <= I138 /\ I138 = I138 /\ 2 <= I134] 162.61/160.13 f1#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f2#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I154, I151, I152, I153) [I154 = I154 /\ I150 <= 1] 162.61/160.13 R = 162.61/160.13 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 162.61/160.13 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f5(0, I1, rnd3, I3, rnd5, 1, I6, 0, 0, I9, rnd11, I11, rnd13) [rnd5 <= rnd3 /\ rnd3 = rnd3 /\ 1 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= rnd11 /\ rnd11 = rnd11 /\ 1 <= rnd13 /\ rnd13 = rnd13] 162.61/160.13 f5(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2(0, I14, 1 + I15, I16, I17, 1, I19, I20, I21, I22, I23, 1 + I15, I25) 162.61/160.13 f2(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f5(1, I27, I28, I29, I30, I31, I32, 0, 0, I35, I36, I37, I38) [1 + I37 <= I30] 162.61/160.13 f2(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f5(1, I40, I41, I42, I43, I44, I45, 0, 0, I48, I49, I50, I51) [I51 <= I49] 162.61/160.13 f2(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f4(I52, I53, I54, I55, I56, I57, I58, I59, I60, rnd10, I62, I63, I64) [rnd10 = rnd10 /\ 1 + I62 <= I64 /\ I56 <= I63] 162.61/160.13 f4(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3(I65, rnd2, I78, I68, I69, I70, I71, I72, I73, I79, I75, I76, I77) [I79 = I79 /\ I78 = rnd2 + I67 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 2 <= I74] 162.61/160.13 f4(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92) -> f3(I80, I81, I82, I83, I84, I85, I86, I87, I88, I93, I90, I91, I92) [I93 = I93 /\ I89 <= 1] 162.61/160.13 f3(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f2(I94, I107, I96, I96 - I98, I108, I99, -1 * I98 + I105, I101, 1, I109, I110, I105, I106) [I109 = I109 /\ 1 <= I110 /\ I110 = I110 /\ I108 = I107 + I98 /\ I107 <= -1 * I98 + I105 /\ I107 <= I96 - I98 /\ I105 <= I107 /\ I107 = I107 /\ 2 <= I103] 162.61/160.13 f3(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123) -> f1(I111, I112, I113, I114, I115, I116, I117, 1, I119, I124, I121, I122, I123) [I124 = I124 /\ I120 <= 1] 162.61/160.13 f1(I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f2(I125, I138, I127, I128, I129, I130, I131, I132, I133, I139, I140, I136, I137) [I139 = I139 /\ I140 = I138 + I135 /\ 1 <= I138 /\ I138 = I138 /\ 2 <= I134] 162.61/160.13 f1(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f2(I141, I142, I143, I144, I145, I146, I147, I148, I149, I154, I151, I152, I153) [I154 = I154 /\ I150 <= 1] 162.61/160.13 162.61/160.13 The dependency graph for this problem is: 162.61/160.13 0 -> 1 162.61/160.13 1 -> 2 162.61/160.13 2 -> 3, 4, 5 162.61/160.13 3 -> 2 162.61/160.13 4 -> 2 162.61/160.13 5 -> 6, 7 162.61/160.13 6 -> 8, 9 162.61/160.13 7 -> 8, 9 162.61/160.13 8 -> 4, 5 162.61/160.13 9 -> 10, 11 162.61/160.13 10 -> 3, 4, 5 162.61/160.13 11 -> 3, 4, 5 162.61/160.13 Where: 162.61/160.13 0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 162.61/160.13 1) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f5#(0, I1, rnd3, I3, rnd5, 1, I6, 0, 0, I9, rnd11, I11, rnd13) [rnd5 <= rnd3 /\ rnd3 = rnd3 /\ 1 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= rnd11 /\ rnd11 = rnd11 /\ 1 <= rnd13 /\ rnd13 = rnd13] 162.61/160.13 2) f5#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2#(0, I14, 1 + I15, I16, I17, 1, I19, I20, I21, I22, I23, 1 + I15, I25) 162.61/160.13 3) f2#(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f5#(1, I27, I28, I29, I30, I31, I32, 0, 0, I35, I36, I37, I38) [1 + I37 <= I30] 162.61/160.13 4) f2#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f5#(1, I40, I41, I42, I43, I44, I45, 0, 0, I48, I49, I50, I51) [I51 <= I49] 162.61/160.13 5) f2#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f4#(I52, I53, I54, I55, I56, I57, I58, I59, I60, rnd10, I62, I63, I64) [rnd10 = rnd10 /\ 1 + I62 <= I64 /\ I56 <= I63] 162.61/160.13 6) f4#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3#(I65, rnd2, I78, I68, I69, I70, I71, I72, I73, I79, I75, I76, I77) [I79 = I79 /\ I78 = rnd2 + I67 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 2 <= I74] 162.61/160.13 7) f4#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92) -> f3#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I93, I90, I91, I92) [I93 = I93 /\ I89 <= 1] 162.61/160.13 8) f3#(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f2#(I94, I107, I96, I96 - I98, I108, I99, -1 * I98 + I105, I101, 1, I109, I110, I105, I106) [I109 = I109 /\ 1 <= I110 /\ I110 = I110 /\ I108 = I107 + I98 /\ I107 <= -1 * I98 + I105 /\ I107 <= I96 - I98 /\ I105 <= I107 /\ I107 = I107 /\ 2 <= I103] 162.61/160.13 9) f3#(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123) -> f1#(I111, I112, I113, I114, I115, I116, I117, 1, I119, I124, I121, I122, I123) [I124 = I124 /\ I120 <= 1] 162.61/160.13 10) f1#(I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f2#(I125, I138, I127, I128, I129, I130, I131, I132, I133, I139, I140, I136, I137) [I139 = I139 /\ I140 = I138 + I135 /\ 1 <= I138 /\ I138 = I138 /\ 2 <= I134] 162.61/160.13 11) f1#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f2#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I154, I151, I152, I153) [I154 = I154 /\ I150 <= 1] 162.61/160.13 162.61/160.13 We have the following SCCs. 162.61/160.13 { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 } 162.61/160.13 162.61/160.13 DP problem for innermost termination. 162.61/160.13 P = 162.61/160.13 f5#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2#(0, I14, 1 + I15, I16, I17, 1, I19, I20, I21, I22, I23, 1 + I15, I25) 162.61/160.13 f2#(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f5#(1, I27, I28, I29, I30, I31, I32, 0, 0, I35, I36, I37, I38) [1 + I37 <= I30] 162.61/160.13 f2#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f5#(1, I40, I41, I42, I43, I44, I45, 0, 0, I48, I49, I50, I51) [I51 <= I49] 162.61/160.13 f2#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f4#(I52, I53, I54, I55, I56, I57, I58, I59, I60, rnd10, I62, I63, I64) [rnd10 = rnd10 /\ 1 + I62 <= I64 /\ I56 <= I63] 162.61/160.13 f4#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3#(I65, rnd2, I78, I68, I69, I70, I71, I72, I73, I79, I75, I76, I77) [I79 = I79 /\ I78 = rnd2 + I67 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 2 <= I74] 162.61/160.13 f4#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92) -> f3#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I93, I90, I91, I92) [I93 = I93 /\ I89 <= 1] 162.61/160.13 f3#(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f2#(I94, I107, I96, I96 - I98, I108, I99, -1 * I98 + I105, I101, 1, I109, I110, I105, I106) [I109 = I109 /\ 1 <= I110 /\ I110 = I110 /\ I108 = I107 + I98 /\ I107 <= -1 * I98 + I105 /\ I107 <= I96 - I98 /\ I105 <= I107 /\ I107 = I107 /\ 2 <= I103] 162.61/160.13 f3#(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123) -> f1#(I111, I112, I113, I114, I115, I116, I117, 1, I119, I124, I121, I122, I123) [I124 = I124 /\ I120 <= 1] 162.61/160.13 f1#(I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f2#(I125, I138, I127, I128, I129, I130, I131, I132, I133, I139, I140, I136, I137) [I139 = I139 /\ I140 = I138 + I135 /\ 1 <= I138 /\ I138 = I138 /\ 2 <= I134] 162.61/160.13 f1#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f2#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I154, I151, I152, I153) [I154 = I154 /\ I150 <= 1] 162.61/160.13 R = 162.61/160.13 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 162.61/160.13 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f5(0, I1, rnd3, I3, rnd5, 1, I6, 0, 0, I9, rnd11, I11, rnd13) [rnd5 <= rnd3 /\ rnd3 = rnd3 /\ 1 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= rnd11 /\ rnd11 = rnd11 /\ 1 <= rnd13 /\ rnd13 = rnd13] 162.61/160.13 f5(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2(0, I14, 1 + I15, I16, I17, 1, I19, I20, I21, I22, I23, 1 + I15, I25) 162.61/160.13 f2(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f5(1, I27, I28, I29, I30, I31, I32, 0, 0, I35, I36, I37, I38) [1 + I37 <= I30] 162.61/160.13 f2(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f5(1, I40, I41, I42, I43, I44, I45, 0, 0, I48, I49, I50, I51) [I51 <= I49] 162.61/160.13 f2(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f4(I52, I53, I54, I55, I56, I57, I58, I59, I60, rnd10, I62, I63, I64) [rnd10 = rnd10 /\ 1 + I62 <= I64 /\ I56 <= I63] 162.61/160.13 f4(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3(I65, rnd2, I78, I68, I69, I70, I71, I72, I73, I79, I75, I76, I77) [I79 = I79 /\ I78 = rnd2 + I67 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 2 <= I74] 162.61/160.13 f4(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92) -> f3(I80, I81, I82, I83, I84, I85, I86, I87, I88, I93, I90, I91, I92) [I93 = I93 /\ I89 <= 1] 162.61/160.13 f3(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f2(I94, I107, I96, I96 - I98, I108, I99, -1 * I98 + I105, I101, 1, I109, I110, I105, I106) [I109 = I109 /\ 1 <= I110 /\ I110 = I110 /\ I108 = I107 + I98 /\ I107 <= -1 * I98 + I105 /\ I107 <= I96 - I98 /\ I105 <= I107 /\ I107 = I107 /\ 2 <= I103] 162.61/160.13 f3(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123) -> f1(I111, I112, I113, I114, I115, I116, I117, 1, I119, I124, I121, I122, I123) [I124 = I124 /\ I120 <= 1] 162.61/160.13 f1(I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f2(I125, I138, I127, I128, I129, I130, I131, I132, I133, I139, I140, I136, I137) [I139 = I139 /\ I140 = I138 + I135 /\ 1 <= I138 /\ I138 = I138 /\ 2 <= I134] 162.61/160.13 f1(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f2(I141, I142, I143, I144, I145, I146, I147, I148, I149, I154, I151, I152, I153) [I154 = I154 /\ I150 <= 1] 162.61/160.13 162.61/163.09 EOF