33.83/33.39 MAYBE 33.83/33.39 33.83/33.39 DP problem for innermost termination. 33.83/33.39 P = 33.83/33.39 f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) 33.83/33.39 f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f1#(I0, rnd2, I2, I3, I4, I5, I6, rnd8, I8, I9, I10, I11, I12, I13, 1) [rnd2 = rnd2 /\ y1 = 1 /\ rnd8 = rnd2] 33.83/33.39 f3#(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6#(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I28 <= 0] 33.83/33.39 f3#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f2#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) [1 <= I43] 33.83/33.39 f11#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 33.83/33.39 f7#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) -> f11#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) 33.83/33.39 f2#(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f10#(I75, I76, rnd3, I78, 0, I80, I81, I82, rnd9, I84, rnd11, I86, I87, I88, 0) [rnd9 = rnd11 /\ rnd11 = rnd3 /\ rnd3 = rnd3 /\ 1 <= I89] 33.83/33.39 f2#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f10#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) [I104 <= 0] 33.83/33.39 f10#(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f9#(I105, I106, I120, I108, I109, 0, rnd7, I112, I113, I114, I115, rnd12, I117, I118, I119) [rnd7 = rnd12 /\ rnd12 = I120 /\ I120 = I120 /\ I119 <= 0] 33.83/33.39 f10#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) -> f8#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) [1 <= I135] 33.83/33.39 f9#(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150) -> f8#(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, 1) [1000 <= I142 - I144] 33.83/33.39 f9#(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165) -> f8#(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165) [1 + I157 - I159 <= 1000] 33.83/33.39 f8#(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) -> f6#(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) 33.83/33.39 f6#(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) -> f7#(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) 33.83/33.39 f1#(I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225) -> f3#(rnd1, I212, I213, 1, I215, I216, I217, 0, I219, rnd10, I221, I222, rnd13, rnd14, I225) [rnd14 = rnd13 /\ rnd13 = rnd10 /\ rnd10 = rnd1 /\ rnd1 = rnd1 /\ 1 <= I218] 33.83/33.39 f1#(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f2#(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) [I233 <= 0] 33.83/33.39 R = 33.83/33.39 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) 33.83/33.39 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f1(I0, rnd2, I2, I3, I4, I5, I6, rnd8, I8, I9, I10, I11, I12, I13, 1) [rnd2 = rnd2 /\ y1 = 1 /\ rnd8 = rnd2] 33.83/33.39 f3(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I28 <= 0] 33.83/33.39 f3(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f2(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) [1 <= I43] 33.83/33.39 f11(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 33.83/33.39 f7(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) -> f11(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) 33.83/33.39 f2(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f10(I75, I76, rnd3, I78, 0, I80, I81, I82, rnd9, I84, rnd11, I86, I87, I88, 0) [rnd9 = rnd11 /\ rnd11 = rnd3 /\ rnd3 = rnd3 /\ 1 <= I89] 33.83/33.39 f2(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f10(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) [I104 <= 0] 33.83/33.39 f10(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f9(I105, I106, I120, I108, I109, 0, rnd7, I112, I113, I114, I115, rnd12, I117, I118, I119) [rnd7 = rnd12 /\ rnd12 = I120 /\ I120 = I120 /\ I119 <= 0] 33.83/33.39 f10(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) -> f8(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) [1 <= I135] 33.83/33.39 f9(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150) -> f8(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, 1) [1000 <= I142 - I144] 33.83/33.39 f9(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165) -> f8(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165) [1 + I157 - I159 <= 1000] 33.83/33.39 f8(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) -> f6(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) 33.83/33.39 f6(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) -> f7(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) 33.83/33.39 f4(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210) -> f5(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210) 33.83/33.39 f1(I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225) -> f3(rnd1, I212, I213, 1, I215, I216, I217, 0, I219, rnd10, I221, I222, rnd13, rnd14, I225) [rnd14 = rnd13 /\ rnd13 = rnd10 /\ rnd10 = rnd1 /\ rnd1 = rnd1 /\ 1 <= I218] 33.83/33.39 f1(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f2(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) [I233 <= 0] 33.83/33.39 33.83/33.39 The dependency graph for this problem is: 33.83/33.39 0 -> 1 33.83/33.39 1 -> 14, 15 33.83/33.39 2 -> 13 33.83/33.39 3 -> 6, 7 33.83/33.39 4 -> 5 33.83/33.39 5 -> 4 33.83/33.39 6 -> 8 33.83/33.39 7 -> 8 33.83/33.39 8 -> 10, 11 33.83/33.39 9 -> 12 33.83/33.39 10 -> 12 33.83/33.39 11 -> 12 33.83/33.39 12 -> 13 33.83/33.39 13 -> 5 33.83/33.39 14 -> 2, 3 33.83/33.39 15 -> 6, 7 33.83/33.39 Where: 33.83/33.39 0) f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) 33.83/33.39 1) f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f1#(I0, rnd2, I2, I3, I4, I5, I6, rnd8, I8, I9, I10, I11, I12, I13, 1) [rnd2 = rnd2 /\ y1 = 1 /\ rnd8 = rnd2] 33.83/33.39 2) f3#(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6#(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I28 <= 0] 33.83/33.39 3) f3#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f2#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) [1 <= I43] 33.83/33.39 4) f11#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 33.83/33.39 5) f7#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) -> f11#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) 33.83/33.39 6) f2#(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f10#(I75, I76, rnd3, I78, 0, I80, I81, I82, rnd9, I84, rnd11, I86, I87, I88, 0) [rnd9 = rnd11 /\ rnd11 = rnd3 /\ rnd3 = rnd3 /\ 1 <= I89] 33.83/33.39 7) f2#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f10#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) [I104 <= 0] 33.83/33.39 8) f10#(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f9#(I105, I106, I120, I108, I109, 0, rnd7, I112, I113, I114, I115, rnd12, I117, I118, I119) [rnd7 = rnd12 /\ rnd12 = I120 /\ I120 = I120 /\ I119 <= 0] 33.83/33.39 9) f10#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) -> f8#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) [1 <= I135] 33.83/33.39 10) f9#(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150) -> f8#(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, 1) [1000 <= I142 - I144] 33.83/33.39 11) f9#(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165) -> f8#(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165) [1 + I157 - I159 <= 1000] 33.83/33.39 12) f8#(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) -> f6#(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) 33.83/33.39 13) f6#(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) -> f7#(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) 33.83/33.39 14) f1#(I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225) -> f3#(rnd1, I212, I213, 1, I215, I216, I217, 0, I219, rnd10, I221, I222, rnd13, rnd14, I225) [rnd14 = rnd13 /\ rnd13 = rnd10 /\ rnd10 = rnd1 /\ rnd1 = rnd1 /\ 1 <= I218] 33.83/33.39 15) f1#(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f2#(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) [I233 <= 0] 33.83/33.39 33.83/33.39 We have the following SCCs. 33.83/33.39 { 4, 5 } 33.83/33.39 33.83/33.39 DP problem for innermost termination. 33.83/33.39 P = 33.83/33.39 f11#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 33.83/33.39 f7#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) -> f11#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) 33.83/33.39 R = 33.83/33.39 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) 33.83/33.39 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f1(I0, rnd2, I2, I3, I4, I5, I6, rnd8, I8, I9, I10, I11, I12, I13, 1) [rnd2 = rnd2 /\ y1 = 1 /\ rnd8 = rnd2] 33.83/33.39 f3(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I28 <= 0] 33.83/33.39 f3(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f2(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) [1 <= I43] 33.83/33.39 f11(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 33.83/33.39 f7(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) -> f11(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) 33.83/33.39 f2(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f10(I75, I76, rnd3, I78, 0, I80, I81, I82, rnd9, I84, rnd11, I86, I87, I88, 0) [rnd9 = rnd11 /\ rnd11 = rnd3 /\ rnd3 = rnd3 /\ 1 <= I89] 33.83/33.39 f2(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f10(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) [I104 <= 0] 33.83/33.39 f10(I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119) -> f9(I105, I106, I120, I108, I109, 0, rnd7, I112, I113, I114, I115, rnd12, I117, I118, I119) [rnd7 = rnd12 /\ rnd12 = I120 /\ I120 = I120 /\ I119 <= 0] 33.83/33.39 f10(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) -> f8(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) [1 <= I135] 33.83/33.39 f9(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150) -> f8(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, 1) [1000 <= I142 - I144] 33.83/33.39 f9(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165) -> f8(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165) [1 + I157 - I159 <= 1000] 33.83/33.39 f8(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) -> f6(I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) 33.83/33.39 f6(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) -> f7(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) 33.83/33.39 f4(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210) -> f5(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210) 33.83/33.39 f1(I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225) -> f3(rnd1, I212, I213, 1, I215, I216, I217, 0, I219, rnd10, I221, I222, rnd13, rnd14, I225) [rnd14 = rnd13 /\ rnd13 = rnd10 /\ rnd10 = rnd1 /\ rnd1 = rnd1 /\ 1 <= I218] 33.83/33.39 f1(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f2(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) [I233 <= 0] 33.83/33.39 33.83/36.37 EOF