90.00/88.69 MAYBE 90.00/88.69 90.00/88.69 DP problem for innermost termination. 90.00/88.69 P = 90.00/88.69 f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) 90.00/88.69 f11#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) 90.00/88.69 f10#(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f11#(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, rnd12, I33, I30, I31, I32, rnd17) [y1 = y1 /\ rnd17 = y1 /\ rnd12 = rnd12] 90.00/88.69 f9#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f10#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) [I37 = I37] 90.00/88.69 f8#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) -> f9#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) [0 <= I55] 90.00/88.69 f7#(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101) -> f8#(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I102, I101, I98, I99, I100, I103) [I104 = I104 /\ I103 = I104 /\ I102 = I102] 90.00/88.69 f6#(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f7#(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) [I107 = I107] 90.00/88.69 f3#(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f6#(I139, I128, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, rnd15, I137, I127) [0 <= I130 /\ -1 - I129 + I131 <= 0 /\ I140 = I128 /\ 0 <= I130 /\ rnd15 = I140 /\ I139 = I139 /\ 0 <= I130 /\ 0 <= I130 /\ 0 <= I130 /\ 0 <= I130] 90.00/88.69 f5#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157) -> f3#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157) 90.00/88.69 f3#(I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174) -> f5#(I158, I159, I160, I161, I162, I163, rnd7, 1 + I165, I166, I167, I168, I169, I170, rnd14, I172, rnd16, I174) [rnd7 = rnd14 /\ rnd14 = rnd16 /\ rnd16 = rnd16 /\ 0 <= -2 - I165 + I167 /\ 0 <= I166] 90.00/88.69 f2#(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211) -> f3#(I195, I196, I197, I198, I199, I200, I212, 1 + I202, I203, I204, I205, I206, I207, I213, I209, I214, I211) [I212 = I213 /\ I213 = I214 /\ I214 = I214 /\ 0 <= -2 - I202 + I204] 90.00/88.69 f1#(I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) -> f2#(I215, I216, I217, I218, I219, I220, 0, 0, I223, I224, rnd11, I226, I227, I228, I229, I230, I231) [rnd11 = rnd11] 90.00/88.69 R = 90.00/88.69 f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) 90.00/88.69 f11(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) 90.00/88.69 f10(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f11(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, rnd12, I33, I30, I31, I32, rnd17) [y1 = y1 /\ rnd17 = y1 /\ rnd12 = rnd12] 90.00/88.69 f9(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f10(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) [I37 = I37] 90.00/88.69 f8(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) -> f9(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) [0 <= I55] 90.00/88.69 f8(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f4(rnd1, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) [0 <= I72 /\ I84 <= 0 /\ 0 <= I84 /\ B0 = B0 /\ rnd1 = rnd1] 90.00/88.69 f7(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101) -> f8(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I102, I101, I98, I99, I100, I103) [I104 = I104 /\ I103 = I104 /\ I102 = I102] 90.00/88.69 f6(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f7(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) [I107 = I107] 90.00/88.69 f3(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f6(I139, I128, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, rnd15, I137, I127) [0 <= I130 /\ -1 - I129 + I131 <= 0 /\ I140 = I128 /\ 0 <= I130 /\ rnd15 = I140 /\ I139 = I139 /\ 0 <= I130 /\ 0 <= I130 /\ 0 <= I130 /\ 0 <= I130] 90.00/88.69 f5(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157) -> f3(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157) 90.00/88.69 f3(I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174) -> f5(I158, I159, I160, I161, I162, I163, rnd7, 1 + I165, I166, I167, I168, I169, I170, rnd14, I172, rnd16, I174) [rnd7 = rnd14 /\ rnd14 = rnd16 /\ rnd16 = rnd16 /\ 0 <= -2 - I165 + I167 /\ 0 <= I166] 90.00/88.69 f2(I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191) -> f4(I192, I181, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I193, I190, I180) [-1 - I182 + I184 <= 0 /\ I194 = I181 /\ I193 = I194 /\ y2 = y2 /\ I180 <= 0 /\ 0 <= I180 /\ y3 = y3 /\ I192 = I192] 90.00/88.69 f2(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211) -> f3(I195, I196, I197, I198, I199, I200, I212, 1 + I202, I203, I204, I205, I206, I207, I213, I209, I214, I211) [I212 = I213 /\ I213 = I214 /\ I214 = I214 /\ 0 <= -2 - I202 + I204] 90.00/88.69 f1(I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) -> f2(I215, I216, I217, I218, I219, I220, 0, 0, I223, I224, rnd11, I226, I227, I228, I229, I230, I231) [rnd11 = rnd11] 90.00/88.69 90.00/88.69 The dependency graph for this problem is: 90.00/88.69 0 -> 11 90.00/88.69 1 -> 4 90.00/88.69 2 -> 1 90.00/88.69 3 -> 2 90.00/88.69 4 -> 3 90.00/88.69 5 -> 4 90.00/88.69 6 -> 5 90.00/88.69 7 -> 6 90.00/88.69 8 -> 7, 9 90.00/88.69 9 -> 8 90.00/88.69 10 -> 7, 9 90.00/88.69 11 -> 10 90.00/88.69 Where: 90.00/88.69 0) f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) 90.00/88.69 1) f11#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) 90.00/88.69 2) f10#(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f11#(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, rnd12, I33, I30, I31, I32, rnd17) [y1 = y1 /\ rnd17 = y1 /\ rnd12 = rnd12] 90.00/88.69 3) f9#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f10#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) [I37 = I37] 90.00/88.69 4) f8#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) -> f9#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) [0 <= I55] 90.00/88.69 5) f7#(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101) -> f8#(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I102, I101, I98, I99, I100, I103) [I104 = I104 /\ I103 = I104 /\ I102 = I102] 90.00/88.69 6) f6#(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f7#(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) [I107 = I107] 90.00/88.69 7) f3#(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f6#(I139, I128, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, rnd15, I137, I127) [0 <= I130 /\ -1 - I129 + I131 <= 0 /\ I140 = I128 /\ 0 <= I130 /\ rnd15 = I140 /\ I139 = I139 /\ 0 <= I130 /\ 0 <= I130 /\ 0 <= I130 /\ 0 <= I130] 90.00/88.69 8) f5#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157) -> f3#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157) 90.00/88.69 9) f3#(I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174) -> f5#(I158, I159, I160, I161, I162, I163, rnd7, 1 + I165, I166, I167, I168, I169, I170, rnd14, I172, rnd16, I174) [rnd7 = rnd14 /\ rnd14 = rnd16 /\ rnd16 = rnd16 /\ 0 <= -2 - I165 + I167 /\ 0 <= I166] 90.00/88.69 10) f2#(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211) -> f3#(I195, I196, I197, I198, I199, I200, I212, 1 + I202, I203, I204, I205, I206, I207, I213, I209, I214, I211) [I212 = I213 /\ I213 = I214 /\ I214 = I214 /\ 0 <= -2 - I202 + I204] 90.00/88.69 11) f1#(I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) -> f2#(I215, I216, I217, I218, I219, I220, 0, 0, I223, I224, rnd11, I226, I227, I228, I229, I230, I231) [rnd11 = rnd11] 90.00/88.69 90.00/88.69 We have the following SCCs. 90.00/88.69 { 8, 9 } 90.00/88.69 { 1, 2, 3, 4 } 90.00/88.69 90.00/88.69 DP problem for innermost termination. 90.00/88.69 P = 90.00/88.69 f11#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) 90.00/88.69 f10#(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f11#(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, rnd12, I33, I30, I31, I32, rnd17) [y1 = y1 /\ rnd17 = y1 /\ rnd12 = rnd12] 90.00/88.69 f9#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f10#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) [I37 = I37] 90.00/88.69 f8#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) -> f9#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) [0 <= I55] 90.00/88.69 R = 90.00/88.69 f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) 90.00/88.69 f11(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) 90.00/88.69 f10(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f11(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, rnd12, I33, I30, I31, I32, rnd17) [y1 = y1 /\ rnd17 = y1 /\ rnd12 = rnd12] 90.00/88.69 f9(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f10(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) [I37 = I37] 90.00/88.69 f8(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) -> f9(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) [0 <= I55] 90.00/88.69 f8(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f4(rnd1, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) [0 <= I72 /\ I84 <= 0 /\ 0 <= I84 /\ B0 = B0 /\ rnd1 = rnd1] 90.00/88.69 f7(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101) -> f8(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I102, I101, I98, I99, I100, I103) [I104 = I104 /\ I103 = I104 /\ I102 = I102] 90.00/88.69 f6(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f7(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) [I107 = I107] 90.00/88.69 f3(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f6(I139, I128, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, rnd15, I137, I127) [0 <= I130 /\ -1 - I129 + I131 <= 0 /\ I140 = I128 /\ 0 <= I130 /\ rnd15 = I140 /\ I139 = I139 /\ 0 <= I130 /\ 0 <= I130 /\ 0 <= I130 /\ 0 <= I130] 90.00/88.69 f5(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157) -> f3(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157) 90.00/88.69 f3(I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174) -> f5(I158, I159, I160, I161, I162, I163, rnd7, 1 + I165, I166, I167, I168, I169, I170, rnd14, I172, rnd16, I174) [rnd7 = rnd14 /\ rnd14 = rnd16 /\ rnd16 = rnd16 /\ 0 <= -2 - I165 + I167 /\ 0 <= I166] 90.00/88.69 f2(I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191) -> f4(I192, I181, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I193, I190, I180) [-1 - I182 + I184 <= 0 /\ I194 = I181 /\ I193 = I194 /\ y2 = y2 /\ I180 <= 0 /\ 0 <= I180 /\ y3 = y3 /\ I192 = I192] 90.00/88.69 f2(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211) -> f3(I195, I196, I197, I198, I199, I200, I212, 1 + I202, I203, I204, I205, I206, I207, I213, I209, I214, I211) [I212 = I213 /\ I213 = I214 /\ I214 = I214 /\ 0 <= -2 - I202 + I204] 90.00/88.69 f1(I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231) -> f2(I215, I216, I217, I218, I219, I220, 0, 0, I223, I224, rnd11, I226, I227, I228, I229, I230, I231) [rnd11 = rnd11] 90.00/88.69 90.00/91.66 EOF