27.57/27.63 MAYBE 27.57/27.63 27.57/27.63 DP problem for innermost termination. 27.57/27.63 P = 27.57/27.63 f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 27.57/27.63 f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f1#(I0, rnd2, I2, I3, I4, I5, I6, I7, I8, I2, I10, I11, 1) [y1 = 1 /\ rnd2 = rnd2] 27.57/27.63 f3#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f6#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) [I24 <= 0] 27.57/27.63 f3#(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f2#(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) [1 <= I37] 27.57/27.63 f2#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f10#(I39, I40, I41, I42, I43, rnd6, I45, I46, I47, I48, rnd11, I50, 0) [rnd11 = rnd6 /\ rnd6 = rnd6 /\ 1 <= I51] 27.57/27.63 f2#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f10#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) [I64 <= 0] 27.57/27.63 f11#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f7#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) 27.57/27.63 f7#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f11#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) 27.57/27.63 f10#(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103) -> f9#(I91, I92, I93, I94, I95, I96, rnd7, I98, rnd9, I100, I101, I102, I103) [rnd9 = rnd7 /\ rnd7 = rnd7 /\ I103 <= 0] 27.57/27.63 f10#(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f8#(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116) [1 <= I116] 27.57/27.63 f9#(I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f8#(I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, 1) [I117 <= I125 - I127] 27.57/27.63 f9#(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142) -> f8#(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142) [1 + I138 - I140 <= I130] 27.57/27.63 f8#(I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155) -> f6#(I143, I144, I145, rnd4, I147, I148, I149, I150, I151, I152, I153, I154, I155) [rnd4 = rnd4] 27.57/27.63 f6#(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168) -> f7#(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168) 27.57/27.63 f1#(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194) -> f3#(I182, I183, I184, I185, rnd5, I187, I188, 1, I190, 0, I192, rnd12, I194) [rnd12 = rnd5 /\ rnd5 = rnd5 /\ 1 <= I191] 27.57/27.63 f1#(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207) -> f2#(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207) [I204 <= 0] 27.57/27.63 R = 27.57/27.63 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 27.57/27.63 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f1(I0, rnd2, I2, I3, I4, I5, I6, I7, I8, I2, I10, I11, 1) [y1 = 1 /\ rnd2 = rnd2] 27.57/27.63 f3(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f6(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) [I24 <= 0] 27.57/27.63 f3(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f2(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) [1 <= I37] 27.57/27.63 f2(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f10(I39, I40, I41, I42, I43, rnd6, I45, I46, I47, I48, rnd11, I50, 0) [rnd11 = rnd6 /\ rnd6 = rnd6 /\ 1 <= I51] 27.57/27.63 f2(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f10(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) [I64 <= 0] 27.57/27.63 f11(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f7(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) 27.57/27.63 f7(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f11(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) 27.57/27.63 f10(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103) -> f9(I91, I92, I93, I94, I95, I96, rnd7, I98, rnd9, I100, I101, I102, I103) [rnd9 = rnd7 /\ rnd7 = rnd7 /\ I103 <= 0] 27.57/27.63 f10(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f8(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116) [1 <= I116] 27.57/27.63 f9(I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f8(I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, 1) [I117 <= I125 - I127] 27.57/27.63 f9(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142) -> f8(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142) [1 + I138 - I140 <= I130] 27.57/27.63 f8(I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155) -> f6(I143, I144, I145, rnd4, I147, I148, I149, I150, I151, I152, I153, I154, I155) [rnd4 = rnd4] 27.57/27.63 f6(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168) -> f7(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168) 27.57/27.63 f4(I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) -> f5(I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) 27.57/27.63 f1(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194) -> f3(I182, I183, I184, I185, rnd5, I187, I188, 1, I190, 0, I192, rnd12, I194) [rnd12 = rnd5 /\ rnd5 = rnd5 /\ 1 <= I191] 27.57/27.63 f1(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207) -> f2(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207) [I204 <= 0] 27.57/27.63 27.57/27.63 The dependency graph for this problem is: 27.57/27.63 0 -> 1 27.57/27.63 1 -> 14, 15 27.57/27.63 2 -> 13 27.57/27.63 3 -> 4, 5 27.57/27.63 4 -> 8 27.57/27.63 5 -> 8 27.57/27.63 6 -> 7 27.57/27.63 7 -> 6 27.57/27.63 8 -> 10, 11 27.57/27.63 9 -> 12 27.57/27.63 10 -> 12 27.57/27.63 11 -> 12 27.57/27.63 12 -> 13 27.57/27.63 13 -> 7 27.57/27.63 14 -> 2, 3 27.57/27.63 15 -> 4, 5 27.57/27.63 Where: 27.57/27.63 0) f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 27.57/27.63 1) f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f1#(I0, rnd2, I2, I3, I4, I5, I6, I7, I8, I2, I10, I11, 1) [y1 = 1 /\ rnd2 = rnd2] 27.57/27.63 2) f3#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f6#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) [I24 <= 0] 27.57/27.63 3) f3#(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f2#(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) [1 <= I37] 27.57/27.63 4) f2#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f10#(I39, I40, I41, I42, I43, rnd6, I45, I46, I47, I48, rnd11, I50, 0) [rnd11 = rnd6 /\ rnd6 = rnd6 /\ 1 <= I51] 27.57/27.63 5) f2#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f10#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) [I64 <= 0] 27.57/27.63 6) f11#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f7#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) 27.57/27.63 7) f7#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f11#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) 27.57/27.63 8) f10#(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103) -> f9#(I91, I92, I93, I94, I95, I96, rnd7, I98, rnd9, I100, I101, I102, I103) [rnd9 = rnd7 /\ rnd7 = rnd7 /\ I103 <= 0] 27.57/27.63 9) f10#(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f8#(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116) [1 <= I116] 27.57/27.63 10) f9#(I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f8#(I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, 1) [I117 <= I125 - I127] 27.57/27.63 11) f9#(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142) -> f8#(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142) [1 + I138 - I140 <= I130] 27.57/27.63 12) f8#(I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155) -> f6#(I143, I144, I145, rnd4, I147, I148, I149, I150, I151, I152, I153, I154, I155) [rnd4 = rnd4] 27.57/27.63 13) f6#(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168) -> f7#(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168) 27.57/27.63 14) f1#(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194) -> f3#(I182, I183, I184, I185, rnd5, I187, I188, 1, I190, 0, I192, rnd12, I194) [rnd12 = rnd5 /\ rnd5 = rnd5 /\ 1 <= I191] 27.57/27.63 15) f1#(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207) -> f2#(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207) [I204 <= 0] 27.57/27.63 27.57/27.63 We have the following SCCs. 27.57/27.63 { 6, 7 } 27.57/27.63 27.57/27.63 DP problem for innermost termination. 27.57/27.63 P = 27.57/27.63 f11#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f7#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) 27.57/27.63 f7#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f11#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) 27.57/27.63 R = 27.57/27.63 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 27.57/27.63 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f1(I0, rnd2, I2, I3, I4, I5, I6, I7, I8, I2, I10, I11, 1) [y1 = 1 /\ rnd2 = rnd2] 27.57/27.63 f3(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f6(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) [I24 <= 0] 27.57/27.63 f3(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f2(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) [1 <= I37] 27.57/27.63 f2(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f10(I39, I40, I41, I42, I43, rnd6, I45, I46, I47, I48, rnd11, I50, 0) [rnd11 = rnd6 /\ rnd6 = rnd6 /\ 1 <= I51] 27.57/27.63 f2(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f10(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) [I64 <= 0] 27.57/27.63 f11(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f7(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) 27.57/27.63 f7(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f11(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) 27.57/27.63 f10(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103) -> f9(I91, I92, I93, I94, I95, I96, rnd7, I98, rnd9, I100, I101, I102, I103) [rnd9 = rnd7 /\ rnd7 = rnd7 /\ I103 <= 0] 27.57/27.63 f10(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f8(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116) [1 <= I116] 27.57/27.63 f9(I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f8(I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, 1) [I117 <= I125 - I127] 27.57/27.63 f9(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142) -> f8(I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142) [1 + I138 - I140 <= I130] 27.57/27.63 f8(I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155) -> f6(I143, I144, I145, rnd4, I147, I148, I149, I150, I151, I152, I153, I154, I155) [rnd4 = rnd4] 27.57/27.63 f6(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168) -> f7(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168) 27.57/27.63 f4(I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) -> f5(I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) 27.57/27.63 f1(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194) -> f3(I182, I183, I184, I185, rnd5, I187, I188, 1, I190, 0, I192, rnd12, I194) [rnd12 = rnd5 /\ rnd5 = rnd5 /\ 1 <= I191] 27.57/27.63 f1(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207) -> f2(I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207) [I204 <= 0] 27.57/27.63 27.57/30.61 EOF