37.71/37.54 MAYBE 37.71/37.54 37.71/37.54 DP problem for innermost termination. 37.71/37.54 P = 37.71/37.54 f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) 37.71/37.54 f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15) -> f1#(I0, I1, rnd3, I3, I4, I5, I6, I7, rnd9, I9, I10, I11, I12, I13, I14, 1) [rnd3 = rnd3 /\ y1 = 1 /\ rnd9 = rnd3] 37.71/37.54 f3#(I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) -> f6#(I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) [I30 <= 0] 37.71/37.54 f3#(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) -> f2#(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) [1 <= I46] 37.71/37.54 f11#(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f7#(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) 37.71/37.54 f7#(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f11#(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) 37.71/37.54 f2#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95) -> f10#(I80, I81, I82, rnd4, I84, 0, I86, I87, I88, rnd10, I90, rnd12, I92, I93, I94, 0) [rnd10 = rnd12 /\ rnd12 = rnd4 /\ rnd4 = rnd4 /\ 1 <= I95] 37.71/37.54 f2#(I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f10#(I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [I111 <= 0] 37.71/37.54 f10#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127) -> f9#(I112, I113, I114, I128, I116, I117, 0, rnd8, I120, I121, I122, I123, rnd13, I125, I126, I127) [rnd8 = rnd13 /\ rnd13 = I128 /\ I128 = I128 /\ I127 <= 0] 37.71/37.54 f10#(I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144) -> f8#(I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144) [1 <= I144] 37.71/37.54 f9#(I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160) -> f8#(I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, 1) [I145 <= I152 - I154] 37.71/37.54 f9#(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176) -> f8#(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176) [1 + I168 - I170 <= I161] 37.71/37.54 f8#(I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192) -> f6#(I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192) 37.71/37.54 f6#(I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f7#(I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) 37.71/37.54 f1#(I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f3#(I225, rnd2, I227, I228, 1, I230, I231, I232, 0, I234, rnd11, I236, I237, rnd14, rnd15, I240) [rnd15 = rnd14 /\ rnd14 = rnd11 /\ rnd11 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I233] 37.71/37.54 f1#(I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f2#(I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) [I249 <= 0] 37.71/37.54 R = 37.71/37.54 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) 37.71/37.54 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15) -> f1(I0, I1, rnd3, I3, I4, I5, I6, I7, rnd9, I9, I10, I11, I12, I13, I14, 1) [rnd3 = rnd3 /\ y1 = 1 /\ rnd9 = rnd3] 37.71/37.54 f3(I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) -> f6(I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) [I30 <= 0] 37.71/37.54 f3(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) -> f2(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) [1 <= I46] 37.71/37.54 f11(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f7(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) 37.71/37.54 f7(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f11(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) 37.71/37.54 f2(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95) -> f10(I80, I81, I82, rnd4, I84, 0, I86, I87, I88, rnd10, I90, rnd12, I92, I93, I94, 0) [rnd10 = rnd12 /\ rnd12 = rnd4 /\ rnd4 = rnd4 /\ 1 <= I95] 37.71/37.54 f2(I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f10(I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [I111 <= 0] 37.71/37.54 f10(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127) -> f9(I112, I113, I114, I128, I116, I117, 0, rnd8, I120, I121, I122, I123, rnd13, I125, I126, I127) [rnd8 = rnd13 /\ rnd13 = I128 /\ I128 = I128 /\ I127 <= 0] 37.71/37.54 f10(I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144) -> f8(I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144) [1 <= I144] 37.71/37.54 f9(I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160) -> f8(I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, 1) [I145 <= I152 - I154] 37.71/37.54 f9(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176) -> f8(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176) [1 + I168 - I170 <= I161] 37.71/37.54 f8(I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192) -> f6(I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192) 37.71/37.54 f6(I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f7(I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) 37.71/37.54 f4(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224) -> f5(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224) 37.71/37.54 f1(I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f3(I225, rnd2, I227, I228, 1, I230, I231, I232, 0, I234, rnd11, I236, I237, rnd14, rnd15, I240) [rnd15 = rnd14 /\ rnd14 = rnd11 /\ rnd11 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I233] 37.71/37.54 f1(I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f2(I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) [I249 <= 0] 37.71/37.54 37.71/37.54 The dependency graph for this problem is: 37.71/37.54 0 -> 1 37.71/37.54 1 -> 14, 15 37.71/37.54 2 -> 13 37.71/37.54 3 -> 6, 7 37.71/37.54 4 -> 5 37.71/37.54 5 -> 4 37.71/37.54 6 -> 8 37.71/37.54 7 -> 8 37.71/37.54 8 -> 10, 11 37.71/37.54 9 -> 12 37.71/37.54 10 -> 12 37.71/37.54 11 -> 12 37.71/37.54 12 -> 13 37.71/37.54 13 -> 5 37.71/37.54 14 -> 2, 3 37.71/37.54 15 -> 6, 7 37.71/37.54 Where: 37.71/37.54 0) f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) 37.71/37.54 1) f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15) -> f1#(I0, I1, rnd3, I3, I4, I5, I6, I7, rnd9, I9, I10, I11, I12, I13, I14, 1) [rnd3 = rnd3 /\ y1 = 1 /\ rnd9 = rnd3] 37.71/37.54 2) f3#(I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) -> f6#(I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) [I30 <= 0] 37.71/37.54 3) f3#(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) -> f2#(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) [1 <= I46] 37.71/37.54 4) f11#(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f7#(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) 37.71/37.54 5) f7#(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f11#(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) 37.71/37.54 6) f2#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95) -> f10#(I80, I81, I82, rnd4, I84, 0, I86, I87, I88, rnd10, I90, rnd12, I92, I93, I94, 0) [rnd10 = rnd12 /\ rnd12 = rnd4 /\ rnd4 = rnd4 /\ 1 <= I95] 37.71/37.54 7) f2#(I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f10#(I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [I111 <= 0] 37.71/37.54 8) f10#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127) -> f9#(I112, I113, I114, I128, I116, I117, 0, rnd8, I120, I121, I122, I123, rnd13, I125, I126, I127) [rnd8 = rnd13 /\ rnd13 = I128 /\ I128 = I128 /\ I127 <= 0] 37.71/37.54 9) f10#(I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144) -> f8#(I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144) [1 <= I144] 37.71/37.54 10) f9#(I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160) -> f8#(I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, 1) [I145 <= I152 - I154] 37.71/37.54 11) f9#(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176) -> f8#(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176) [1 + I168 - I170 <= I161] 37.71/37.54 12) f8#(I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192) -> f6#(I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192) 37.71/37.54 13) f6#(I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f7#(I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) 37.71/37.54 14) f1#(I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f3#(I225, rnd2, I227, I228, 1, I230, I231, I232, 0, I234, rnd11, I236, I237, rnd14, rnd15, I240) [rnd15 = rnd14 /\ rnd14 = rnd11 /\ rnd11 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I233] 37.71/37.54 15) f1#(I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f2#(I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) [I249 <= 0] 37.71/37.54 37.71/37.54 We have the following SCCs. 37.71/37.54 { 4, 5 } 37.71/37.54 37.71/37.54 DP problem for innermost termination. 37.71/37.54 P = 37.71/37.54 f11#(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f7#(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) 37.71/37.54 f7#(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f11#(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) 37.71/37.54 R = 37.71/37.54 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) 37.71/37.54 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15) -> f1(I0, I1, rnd3, I3, I4, I5, I6, I7, rnd9, I9, I10, I11, I12, I13, I14, 1) [rnd3 = rnd3 /\ y1 = 1 /\ rnd9 = rnd3] 37.71/37.54 f3(I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) -> f6(I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) [I30 <= 0] 37.71/37.54 f3(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) -> f2(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) [1 <= I46] 37.71/37.54 f11(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f7(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63) 37.71/37.54 f7(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f11(I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) 37.71/37.54 f2(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95) -> f10(I80, I81, I82, rnd4, I84, 0, I86, I87, I88, rnd10, I90, rnd12, I92, I93, I94, 0) [rnd10 = rnd12 /\ rnd12 = rnd4 /\ rnd4 = rnd4 /\ 1 <= I95] 37.71/37.54 f2(I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f10(I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [I111 <= 0] 37.71/37.54 f10(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127) -> f9(I112, I113, I114, I128, I116, I117, 0, rnd8, I120, I121, I122, I123, rnd13, I125, I126, I127) [rnd8 = rnd13 /\ rnd13 = I128 /\ I128 = I128 /\ I127 <= 0] 37.71/37.54 f10(I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144) -> f8(I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144) [1 <= I144] 37.71/37.54 f9(I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160) -> f8(I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, 1) [I145 <= I152 - I154] 37.71/37.54 f9(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176) -> f8(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176) [1 + I168 - I170 <= I161] 37.71/37.54 f8(I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192) -> f6(I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192) 37.71/37.54 f6(I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f7(I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) 37.71/37.54 f4(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224) -> f5(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224) 37.71/37.54 f1(I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f3(I225, rnd2, I227, I228, 1, I230, I231, I232, 0, I234, rnd11, I236, I237, rnd14, rnd15, I240) [rnd15 = rnd14 /\ rnd14 = rnd11 /\ rnd11 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I233] 37.71/37.54 f1(I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) -> f2(I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256) [I249 <= 0] 37.71/37.54 37.71/40.51 EOF