263.81/259.50 MAYBE 263.81/259.50 263.81/259.50 DP problem for innermost termination. 263.81/259.50 P = 263.81/259.50 f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f9#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 263.81/259.50 f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f3#(rnd1, rnd2, 0, 2, I4, I5, I6, rnd8, rnd9, rnd10, I10, I11, I12) [y3 = 1 /\ 0 <= 4 - y3 /\ rnd9 = rnd9 /\ y2 = 1 /\ rnd8 = rnd8 /\ rnd2 = 0 /\ y1 = rnd2 /\ rnd10 = y1 /\ rnd1 = rnd1] 263.81/259.50 f11#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2#(I26, I27, 1, I16, I17, I18, I19, I20, I28, I29, I23, I24, I25) [I30 = I17 /\ 5 - I30 <= 0 /\ I28 = I28 /\ I27 = 1 /\ I31 = I27 /\ I29 = I31 /\ I26 = I26] 263.81/259.50 f11#(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3#(I45, I46, 0, I35, I36, 1 + I36, I38, I47, I48, I49, I42, I43, I44) [I50 = I36 /\ 0 <= 4 - I50 /\ I48 = I48 /\ I51 = I36 /\ I47 = I47 /\ I46 = 0 /\ I52 = I46 /\ I49 = I52 /\ I45 = I45] 263.81/259.50 f10#(I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f3#(I66, I67, 0, I56, 2, I58, I59, I68, I69, I70, I63, I64, I65) [I71 = 1 /\ 0 <= 4 - I71 /\ I69 = I69 /\ I72 = 1 /\ I68 = I68 /\ I67 = 0 /\ I73 = I67 /\ I70 = I73 /\ I66 = I66] 263.81/259.50 f9#(I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86) -> f4#(I74, I75, I76, I77, I78, I79, rnd7, I81, I82, I83, I84, I85, I86) [rnd7 = rnd7] 263.81/259.50 f6#(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4#(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 f6#(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3#(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 f8#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f2#(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f8#(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [1 + I156 <= 0] 263.81/259.50 f7#(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f4#(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, 1 + I170, I171, I172) [-1 * I171 + I172 <= 0] 263.81/259.50 f7#(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3#(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 f3#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f4#(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6#(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 f1#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3#(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2#(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 R = 263.81/259.50 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f9(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 263.81/259.50 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f3(rnd1, rnd2, 0, 2, I4, I5, I6, rnd8, rnd9, rnd10, I10, I11, I12) [y3 = 1 /\ 0 <= 4 - y3 /\ rnd9 = rnd9 /\ y2 = 1 /\ rnd8 = rnd8 /\ rnd2 = 0 /\ y1 = rnd2 /\ rnd10 = y1 /\ rnd1 = rnd1] 263.81/259.50 f11(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2(I26, I27, 1, I16, I17, I18, I19, I20, I28, I29, I23, I24, I25) [I30 = I17 /\ 5 - I30 <= 0 /\ I28 = I28 /\ I27 = 1 /\ I31 = I27 /\ I29 = I31 /\ I26 = I26] 263.81/259.50 f11(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I45, I46, 0, I35, I36, 1 + I36, I38, I47, I48, I49, I42, I43, I44) [I50 = I36 /\ 0 <= 4 - I50 /\ I48 = I48 /\ I51 = I36 /\ I47 = I47 /\ I46 = 0 /\ I52 = I46 /\ I49 = I52 /\ I45 = I45] 263.81/259.50 f10(I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f3(I66, I67, 0, I56, 2, I58, I59, I68, I69, I70, I63, I64, I65) [I71 = 1 /\ 0 <= 4 - I71 /\ I69 = I69 /\ I72 = 1 /\ I68 = I68 /\ I67 = 0 /\ I73 = I67 /\ I70 = I73 /\ I66 = I66] 263.81/259.50 f9(I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86) -> f4(I74, I75, I76, I77, I78, I79, rnd7, I81, I82, I83, I84, I85, I86) [rnd7 = rnd7] 263.81/259.50 f6(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 f6(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 f8(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f2(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f8(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [1 + I156 <= 0] 263.81/259.50 f7(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f4(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, 1 + I170, I171, I172) [-1 * I171 + I172 <= 0] 263.81/259.50 f7(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 f3(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f4(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 f4(I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) -> f5(I233, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) [I233 = I233 /\ -1 * I230 + I231 <= 0] 263.81/259.50 f1(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 263.81/259.50 The dependency graph for this problem is: 263.81/259.50 0 -> 5 263.81/259.50 1 -> 13 263.81/259.50 2 -> 9 263.81/259.50 3 -> 13 263.81/259.50 4 -> 13 263.81/259.50 5 -> 14 263.81/259.50 6 -> 14 263.81/259.50 7 -> 13 263.81/259.50 8 -> 11, 12 263.81/259.50 9 -> 8 263.81/259.50 10 -> 8 263.81/259.50 11 -> 14 263.81/259.50 12 -> 13 263.81/259.50 13 -> 15, 16 263.81/259.50 14 -> 6, 7 263.81/259.50 15 -> 13 263.81/259.50 16 -> 9 263.81/259.50 Where: 263.81/259.50 0) f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f9#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 263.81/259.50 1) f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f3#(rnd1, rnd2, 0, 2, I4, I5, I6, rnd8, rnd9, rnd10, I10, I11, I12) [y3 = 1 /\ 0 <= 4 - y3 /\ rnd9 = rnd9 /\ y2 = 1 /\ rnd8 = rnd8 /\ rnd2 = 0 /\ y1 = rnd2 /\ rnd10 = y1 /\ rnd1 = rnd1] 263.81/259.50 2) f11#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2#(I26, I27, 1, I16, I17, I18, I19, I20, I28, I29, I23, I24, I25) [I30 = I17 /\ 5 - I30 <= 0 /\ I28 = I28 /\ I27 = 1 /\ I31 = I27 /\ I29 = I31 /\ I26 = I26] 263.81/259.50 3) f11#(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3#(I45, I46, 0, I35, I36, 1 + I36, I38, I47, I48, I49, I42, I43, I44) [I50 = I36 /\ 0 <= 4 - I50 /\ I48 = I48 /\ I51 = I36 /\ I47 = I47 /\ I46 = 0 /\ I52 = I46 /\ I49 = I52 /\ I45 = I45] 263.81/259.50 4) f10#(I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f3#(I66, I67, 0, I56, 2, I58, I59, I68, I69, I70, I63, I64, I65) [I71 = 1 /\ 0 <= 4 - I71 /\ I69 = I69 /\ I72 = 1 /\ I68 = I68 /\ I67 = 0 /\ I73 = I67 /\ I70 = I73 /\ I66 = I66] 263.81/259.50 5) f9#(I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86) -> f4#(I74, I75, I76, I77, I78, I79, rnd7, I81, I82, I83, I84, I85, I86) [rnd7 = rnd7] 263.81/259.50 6) f6#(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4#(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 7) f6#(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3#(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 8) f8#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 9) f2#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 10) f2#(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f8#(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [1 + I156 <= 0] 263.81/259.50 11) f7#(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f4#(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, 1 + I170, I171, I172) [-1 * I171 + I172 <= 0] 263.81/259.50 12) f7#(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3#(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 13) f3#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 14) f4#(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6#(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 15) f1#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3#(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 16) f1#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2#(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 263.81/259.50 We have the following SCCs. 263.81/259.50 { 6, 7, 8, 9, 11, 12, 13, 14, 15, 16 } 263.81/259.50 263.81/259.50 DP problem for innermost termination. 263.81/259.50 P = 263.81/259.50 f6#(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4#(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 f6#(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3#(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 f8#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f7#(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f4#(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, 1 + I170, I171, I172) [-1 * I171 + I172 <= 0] 263.81/259.50 f7#(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3#(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 f3#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f4#(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6#(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 f1#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3#(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2#(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 R = 263.81/259.50 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f9(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 263.81/259.50 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f3(rnd1, rnd2, 0, 2, I4, I5, I6, rnd8, rnd9, rnd10, I10, I11, I12) [y3 = 1 /\ 0 <= 4 - y3 /\ rnd9 = rnd9 /\ y2 = 1 /\ rnd8 = rnd8 /\ rnd2 = 0 /\ y1 = rnd2 /\ rnd10 = y1 /\ rnd1 = rnd1] 263.81/259.50 f11(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2(I26, I27, 1, I16, I17, I18, I19, I20, I28, I29, I23, I24, I25) [I30 = I17 /\ 5 - I30 <= 0 /\ I28 = I28 /\ I27 = 1 /\ I31 = I27 /\ I29 = I31 /\ I26 = I26] 263.81/259.50 f11(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I45, I46, 0, I35, I36, 1 + I36, I38, I47, I48, I49, I42, I43, I44) [I50 = I36 /\ 0 <= 4 - I50 /\ I48 = I48 /\ I51 = I36 /\ I47 = I47 /\ I46 = 0 /\ I52 = I46 /\ I49 = I52 /\ I45 = I45] 263.81/259.50 f10(I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f3(I66, I67, 0, I56, 2, I58, I59, I68, I69, I70, I63, I64, I65) [I71 = 1 /\ 0 <= 4 - I71 /\ I69 = I69 /\ I72 = 1 /\ I68 = I68 /\ I67 = 0 /\ I73 = I67 /\ I70 = I73 /\ I66 = I66] 263.81/259.50 f9(I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86) -> f4(I74, I75, I76, I77, I78, I79, rnd7, I81, I82, I83, I84, I85, I86) [rnd7 = rnd7] 263.81/259.50 f6(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 f6(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 f8(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f2(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f8(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [1 + I156 <= 0] 263.81/259.50 f7(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f4(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, 1 + I170, I171, I172) [-1 * I171 + I172 <= 0] 263.81/259.50 f7(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 f3(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f4(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 f4(I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) -> f5(I233, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) [I233 = I233 /\ -1 * I230 + I231 <= 0] 263.81/259.50 f1(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 263.81/259.50 We use the extended value criterion with the projection function NU: 263.81/259.50 NU[f1#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = 0 263.81/259.50 NU[f2#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = 0 263.81/259.50 NU[f7#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = 0 263.81/259.50 NU[f8#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = 0 263.81/259.50 NU[f3#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = 0 263.81/259.50 NU[f4#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = -x11 + x12 - 1 263.81/259.50 NU[f6#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = -x11 + x12 - 1 263.81/259.50 263.81/259.50 This gives the following inequalities: 263.81/259.50 -1 * I98 + I99 <= 0 ==> -I98 + I99 - 1 >= -I98 + I99 - 1 263.81/259.50 0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113 ==> -I111 + I112 - 1 >= 0 263.81/259.50 ==> 0 >= 0 263.81/259.50 1 <= I143 ==> 0 >= 0 263.81/259.50 -1 * I171 + I172 <= 0 ==> 0 > -I171 + I172 - 1 with 0 >= 0 263.81/259.50 0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186 ==> 0 >= 0 263.81/259.50 0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0 ==> 0 >= 0 263.81/259.50 0 <= -1 - I217 + I218 ==> -I218 + I219 - 1 >= -I218 + I219 - 1 263.81/259.50 I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247 ==> 0 >= 0 263.81/259.50 I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268 ==> 0 >= 0 263.81/259.50 263.81/259.50 We remove all the strictly oriented dependency pairs. 263.81/259.50 263.81/259.50 DP problem for innermost termination. 263.81/259.50 P = 263.81/259.50 f6#(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4#(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 f6#(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3#(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 f8#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f7#(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3#(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 f3#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f4#(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6#(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 f1#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3#(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2#(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 R = 263.81/259.50 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f9(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 263.81/259.50 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f3(rnd1, rnd2, 0, 2, I4, I5, I6, rnd8, rnd9, rnd10, I10, I11, I12) [y3 = 1 /\ 0 <= 4 - y3 /\ rnd9 = rnd9 /\ y2 = 1 /\ rnd8 = rnd8 /\ rnd2 = 0 /\ y1 = rnd2 /\ rnd10 = y1 /\ rnd1 = rnd1] 263.81/259.50 f11(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2(I26, I27, 1, I16, I17, I18, I19, I20, I28, I29, I23, I24, I25) [I30 = I17 /\ 5 - I30 <= 0 /\ I28 = I28 /\ I27 = 1 /\ I31 = I27 /\ I29 = I31 /\ I26 = I26] 263.81/259.50 f11(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I45, I46, 0, I35, I36, 1 + I36, I38, I47, I48, I49, I42, I43, I44) [I50 = I36 /\ 0 <= 4 - I50 /\ I48 = I48 /\ I51 = I36 /\ I47 = I47 /\ I46 = 0 /\ I52 = I46 /\ I49 = I52 /\ I45 = I45] 263.81/259.50 f10(I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f3(I66, I67, 0, I56, 2, I58, I59, I68, I69, I70, I63, I64, I65) [I71 = 1 /\ 0 <= 4 - I71 /\ I69 = I69 /\ I72 = 1 /\ I68 = I68 /\ I67 = 0 /\ I73 = I67 /\ I70 = I73 /\ I66 = I66] 263.81/259.50 f9(I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86) -> f4(I74, I75, I76, I77, I78, I79, rnd7, I81, I82, I83, I84, I85, I86) [rnd7 = rnd7] 263.81/259.50 f6(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 f6(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 f8(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f2(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f8(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [1 + I156 <= 0] 263.81/259.50 f7(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f4(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, 1 + I170, I171, I172) [-1 * I171 + I172 <= 0] 263.81/259.50 f7(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 f3(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f4(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 f4(I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) -> f5(I233, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) [I233 = I233 /\ -1 * I230 + I231 <= 0] 263.81/259.50 f1(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 263.81/259.50 The dependency graph for this problem is: 263.81/259.50 6 -> 14 263.81/259.50 7 -> 13 263.81/259.50 8 -> 12 263.81/259.50 9 -> 8 263.81/259.50 12 -> 13 263.81/259.50 13 -> 15, 16 263.81/259.50 14 -> 6, 7 263.81/259.50 15 -> 13 263.81/259.50 16 -> 9 263.81/259.50 Where: 263.81/259.50 6) f6#(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4#(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 7) f6#(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3#(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 8) f8#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 9) f2#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 12) f7#(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3#(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 13) f3#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 14) f4#(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6#(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 15) f1#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3#(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 16) f1#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2#(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 263.81/259.50 We have the following SCCs. 263.81/259.50 { 6, 14 } 263.81/259.50 { 8, 9, 12, 13, 15, 16 } 263.81/259.50 263.81/259.50 DP problem for innermost termination. 263.81/259.50 P = 263.81/259.50 f8#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f7#(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3#(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 f3#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f1#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3#(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2#(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 R = 263.81/259.50 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f9(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 263.81/259.50 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f3(rnd1, rnd2, 0, 2, I4, I5, I6, rnd8, rnd9, rnd10, I10, I11, I12) [y3 = 1 /\ 0 <= 4 - y3 /\ rnd9 = rnd9 /\ y2 = 1 /\ rnd8 = rnd8 /\ rnd2 = 0 /\ y1 = rnd2 /\ rnd10 = y1 /\ rnd1 = rnd1] 263.81/259.50 f11(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2(I26, I27, 1, I16, I17, I18, I19, I20, I28, I29, I23, I24, I25) [I30 = I17 /\ 5 - I30 <= 0 /\ I28 = I28 /\ I27 = 1 /\ I31 = I27 /\ I29 = I31 /\ I26 = I26] 263.81/259.50 f11(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I45, I46, 0, I35, I36, 1 + I36, I38, I47, I48, I49, I42, I43, I44) [I50 = I36 /\ 0 <= 4 - I50 /\ I48 = I48 /\ I51 = I36 /\ I47 = I47 /\ I46 = 0 /\ I52 = I46 /\ I49 = I52 /\ I45 = I45] 263.81/259.50 f10(I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f3(I66, I67, 0, I56, 2, I58, I59, I68, I69, I70, I63, I64, I65) [I71 = 1 /\ 0 <= 4 - I71 /\ I69 = I69 /\ I72 = 1 /\ I68 = I68 /\ I67 = 0 /\ I73 = I67 /\ I70 = I73 /\ I66 = I66] 263.81/259.50 f9(I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86) -> f4(I74, I75, I76, I77, I78, I79, rnd7, I81, I82, I83, I84, I85, I86) [rnd7 = rnd7] 263.81/259.50 f6(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 f6(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 f8(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f2(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f8(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [1 + I156 <= 0] 263.81/259.50 f7(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f4(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, 1 + I170, I171, I172) [-1 * I171 + I172 <= 0] 263.81/259.50 f7(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 f3(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f4(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 f4(I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) -> f5(I233, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) [I233 = I233 /\ -1 * I230 + I231 <= 0] 263.81/259.50 f1(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 263.81/259.50 We use the extended value criterion with the projection function NU: 263.81/259.50 NU[f1#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = -x11 + x12 - 1 263.81/259.50 NU[f3#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = -x11 + x12 - 1 263.81/259.50 NU[f2#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = -x11 + x12 - 1 263.81/259.50 NU[f7#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = -x11 + x12 263.81/259.50 NU[f8#(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)] = -x11 + x12 - 1 263.81/259.50 263.81/259.50 This gives the following inequalities: 263.81/259.50 ==> -I132 + I133 - 1 >= -(1 + I132) + I133 263.81/259.50 1 <= I143 ==> -I145 + I146 - 1 >= -I145 + I146 - 1 263.81/259.50 0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186 ==> -I184 + I185 > -I184 + I185 - 1 with -I184 + I185 >= 0 263.81/259.50 0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0 ==> -I205 + I206 - 1 >= -I205 + I206 - 1 263.81/259.50 I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247 ==> -I245 + I246 - 1 >= -I245 + I246 - 1 263.81/259.50 I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268 ==> -I266 + I267 - 1 >= -I266 + I267 - 1 263.81/259.50 263.81/259.50 We remove all the strictly oriented dependency pairs. 263.81/259.50 263.81/259.50 DP problem for innermost termination. 263.81/259.50 P = 263.81/259.50 f8#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f3#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f1#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3#(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2#(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 R = 263.81/259.50 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f9(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 263.81/259.50 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f3(rnd1, rnd2, 0, 2, I4, I5, I6, rnd8, rnd9, rnd10, I10, I11, I12) [y3 = 1 /\ 0 <= 4 - y3 /\ rnd9 = rnd9 /\ y2 = 1 /\ rnd8 = rnd8 /\ rnd2 = 0 /\ y1 = rnd2 /\ rnd10 = y1 /\ rnd1 = rnd1] 263.81/259.50 f11(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2(I26, I27, 1, I16, I17, I18, I19, I20, I28, I29, I23, I24, I25) [I30 = I17 /\ 5 - I30 <= 0 /\ I28 = I28 /\ I27 = 1 /\ I31 = I27 /\ I29 = I31 /\ I26 = I26] 263.81/259.50 f11(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I45, I46, 0, I35, I36, 1 + I36, I38, I47, I48, I49, I42, I43, I44) [I50 = I36 /\ 0 <= 4 - I50 /\ I48 = I48 /\ I51 = I36 /\ I47 = I47 /\ I46 = 0 /\ I52 = I46 /\ I49 = I52 /\ I45 = I45] 263.81/259.50 f10(I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f3(I66, I67, 0, I56, 2, I58, I59, I68, I69, I70, I63, I64, I65) [I71 = 1 /\ 0 <= 4 - I71 /\ I69 = I69 /\ I72 = 1 /\ I68 = I68 /\ I67 = 0 /\ I73 = I67 /\ I70 = I73 /\ I66 = I66] 263.81/259.50 f9(I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86) -> f4(I74, I75, I76, I77, I78, I79, rnd7, I81, I82, I83, I84, I85, I86) [rnd7 = rnd7] 263.81/259.50 f6(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 f6(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 f8(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f2(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f8(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [1 + I156 <= 0] 263.81/259.50 f7(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f4(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, 1 + I170, I171, I172) [-1 * I171 + I172 <= 0] 263.81/259.50 f7(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 f3(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f4(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 f4(I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) -> f5(I233, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) [I233 = I233 /\ -1 * I230 + I231 <= 0] 263.81/259.50 f1(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 263.81/259.50 The dependency graph for this problem is: 263.81/259.50 8 -> 263.81/259.50 9 -> 8 263.81/259.50 13 -> 15, 16 263.81/259.50 15 -> 13 263.81/259.50 16 -> 9 263.81/259.50 Where: 263.81/259.50 8) f8#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 9) f2#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8#(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 13) f3#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 15) f1#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3#(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 16) f1#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2#(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 263.81/259.50 We have the following SCCs. 263.81/259.50 { 13, 15 } 263.81/259.50 263.81/259.50 DP problem for innermost termination. 263.81/259.50 P = 263.81/259.50 f3#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f1#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3#(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 R = 263.81/259.50 f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f9(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 263.81/259.50 f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f3(rnd1, rnd2, 0, 2, I4, I5, I6, rnd8, rnd9, rnd10, I10, I11, I12) [y3 = 1 /\ 0 <= 4 - y3 /\ rnd9 = rnd9 /\ y2 = 1 /\ rnd8 = rnd8 /\ rnd2 = 0 /\ y1 = rnd2 /\ rnd10 = y1 /\ rnd1 = rnd1] 263.81/259.50 f11(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2(I26, I27, 1, I16, I17, I18, I19, I20, I28, I29, I23, I24, I25) [I30 = I17 /\ 5 - I30 <= 0 /\ I28 = I28 /\ I27 = 1 /\ I31 = I27 /\ I29 = I31 /\ I26 = I26] 263.81/259.50 f11(I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I45, I46, 0, I35, I36, 1 + I36, I38, I47, I48, I49, I42, I43, I44) [I50 = I36 /\ 0 <= 4 - I50 /\ I48 = I48 /\ I51 = I36 /\ I47 = I47 /\ I46 = 0 /\ I52 = I46 /\ I49 = I52 /\ I45 = I45] 263.81/259.50 f10(I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f3(I66, I67, 0, I56, 2, I58, I59, I68, I69, I70, I63, I64, I65) [I71 = 1 /\ 0 <= 4 - I71 /\ I69 = I69 /\ I72 = 1 /\ I68 = I68 /\ I67 = 0 /\ I73 = I67 /\ I70 = I73 /\ I66 = I66] 263.81/259.50 f9(I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86) -> f4(I74, I75, I76, I77, I78, I79, rnd7, I81, I82, I83, I84, I85, I86) [rnd7 = rnd7] 263.81/259.50 f6(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f4(I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, 1 + I97, I98, I99) [-1 * I98 + I99 <= 0] 263.81/259.50 f6(I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112) -> f3(I113, I114, 0, I103, I104, I105, I106, I115, I116, I117, I110, I111, I112) [0 <= -1 - I111 + I112 /\ I118 = 0 /\ 0 <= 4 - I118 /\ I116 = I116 /\ I119 = 0 /\ I115 = I115 /\ I114 = 0 /\ I120 = I114 /\ I117 = I120 /\ I113 = I113] 263.81/259.50 f8(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133) -> f7(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, 1 + I132, I133) 263.81/259.50 f2(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) -> f8(I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146) [1 <= I143] 263.81/259.50 f2(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) -> f8(I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159) [1 + I156 <= 0] 263.81/259.50 f7(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f4(I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, 1 + I170, I171, I172) [-1 * I171 + I172 <= 0] 263.81/259.50 f7(I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185) -> f3(I186, I187, 0, I176, I177, I178, I179, I188, I189, I190, I183, I184, I185) [0 <= -1 - I184 + I185 /\ I191 = 0 /\ 0 <= 4 - I191 /\ I189 = I189 /\ I192 = 0 /\ I188 = I188 /\ I187 = 0 /\ I193 = I187 /\ I190 = I193 /\ I186 = I186] 263.81/259.50 f3(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f1(I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) [0 <= -1 - I205 + I206 /\ 0 <= I203 /\ I203 <= 0] 263.81/259.50 f4(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f6(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) [0 <= -1 - I217 + I218] 263.81/259.50 f4(I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) -> f5(I233, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232) [I233 = I233 /\ -1 * I230 + I231 <= 0] 263.81/259.50 f1(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f3(I247, I248, 0, I237, I238, I239, I240, I249, I250, I251, I244, I245, I246) [I252 = I237 /\ 0 <= 4 - I252 /\ I250 = I250 /\ I253 = I237 /\ I249 = I249 /\ I248 = 0 /\ I254 = I248 /\ I251 = I254 /\ I247 = I247] 263.81/259.50 f1(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267) -> f2(I268, I269, 1, I258, I259, I260, I261, I262, I270, I271, I265, I266, I267) [I272 = I258 /\ 5 - I272 <= 0 /\ I270 = I270 /\ I269 = 1 /\ I273 = I269 /\ I271 = I273 /\ I268 = I268] 263.81/259.50 263.81/262.48 EOF