0.00/0.50 YES 0.00/0.50 0.00/0.50 DP problem for innermost termination. 0.00/0.50 P = 0.00/0.50 f9#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37) 0.00/0.50 f5#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114) -> f6#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114) [1 <= I98] 0.00/0.50 f5#(I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f6#(I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [1 + I135 <= 0] 0.00/0.50 f4#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188) -> f5#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I165, I157, rnd22, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188) [rnd22 = rnd22] 0.00/0.50 f3#(I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225) -> f4#(I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225) [1 <= I210] 0.00/0.50 f3#(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262) -> f4#(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262) [1 + I247 <= 0] 0.00/0.50 f2#(I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) -> f3#(I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I276, I300, I301, I302, I303, I304, I305, I291, I292, I293, I294, I295, I296, I297, I298, I299) [I305 = I305 /\ I306 = I270 /\ I304 = I304 /\ I307 = I292 /\ I308 = I297 /\ I302 = I302 /\ I303 = I303 /\ I309 = I266 /\ I310 = I267 /\ 0 <= -1 - I309 + I310 /\ I300 = I300 /\ I301 = I301] 0.00/0.50 f1#(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347) -> f2#(I348, I312, I313, I314, I315, I316, I317, I318, rnd9, rnd10, rnd11, rnd12, rnd13, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I349, rnd29, I340, rnd31, rnd32, rnd33, rnd34, rnd35, rnd36, rnd37) [rnd12 = rnd12 /\ rnd13 = rnd13 /\ rnd10 = rnd10 /\ rnd11 = rnd11 /\ rnd32 = rnd32 /\ rnd31 = rnd31 /\ rnd33 = rnd33 /\ rnd9 = rnd9 /\ rnd34 = rnd34 /\ rnd35 = rnd35 /\ I350 = rnd34 /\ rnd29 = rnd29 /\ rnd36 = rnd36 /\ rnd37 = rnd37 /\ I349 = rnd34 /\ I348 = I348] 0.00/0.50 R = 0.00/0.50 f9(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37) 0.00/0.50 f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36) -> f8(rnd1, rnd2, 0, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, rnd15, I15, I16, I17, I18, I19, I20, I21, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, I28, I29, I30, I31, I32, I33, I34, I35, I36) [rnd28 = rnd28 /\ y7 = I7 /\ rnd27 = rnd27 /\ y5 = I29 /\ y6 = I34 /\ rnd25 = rnd25 /\ rnd26 = rnd26 /\ y3 = I3 /\ y4 = I4 /\ -1 * y3 + y4 <= 0 /\ rnd23 = rnd23 /\ rnd24 = rnd24 /\ y2 = I29 /\ y1 = y1 /\ rnd15 = rnd15 /\ rnd2 = 0 /\ rnd1 = rnd2] 0.00/0.50 f6(I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73) -> f7(I74, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I66, rnd17, rnd18, rnd19, rnd20, rnd21, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73) [rnd20 = rnd20 /\ rnd21 = rnd21 /\ I75 = I50 /\ I76 = I43 /\ I77 = I66 /\ rnd17 = rnd17 /\ rnd18 = rnd18 /\ rnd19 = rnd19 /\ I74 = I74] 0.00/0.50 f5(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114) -> f6(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114) [1 <= I98] 0.00/0.50 f5(I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f6(I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [1 + I135 <= 0] 0.00/0.50 f4(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188) -> f5(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I165, I157, rnd22, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188) [rnd22 = rnd22] 0.00/0.50 f3(I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225) -> f4(I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225) [1 <= I210] 0.00/0.50 f3(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262) -> f4(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262) [1 + I247 <= 0] 0.00/0.50 f2(I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) -> f3(I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I276, I300, I301, I302, I303, I304, I305, I291, I292, I293, I294, I295, I296, I297, I298, I299) [I305 = I305 /\ I306 = I270 /\ I304 = I304 /\ I307 = I292 /\ I308 = I297 /\ I302 = I302 /\ I303 = I303 /\ I309 = I266 /\ I310 = I267 /\ 0 <= -1 - I309 + I310 /\ I300 = I300 /\ I301 = I301] 0.00/0.50 f1(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347) -> f2(I348, I312, I313, I314, I315, I316, I317, I318, rnd9, rnd10, rnd11, rnd12, rnd13, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I349, rnd29, I340, rnd31, rnd32, rnd33, rnd34, rnd35, rnd36, rnd37) [rnd12 = rnd12 /\ rnd13 = rnd13 /\ rnd10 = rnd10 /\ rnd11 = rnd11 /\ rnd32 = rnd32 /\ rnd31 = rnd31 /\ rnd33 = rnd33 /\ rnd9 = rnd9 /\ rnd34 = rnd34 /\ rnd35 = rnd35 /\ I350 = rnd34 /\ rnd29 = rnd29 /\ rnd36 = rnd36 /\ rnd37 = rnd37 /\ I349 = rnd34 /\ I348 = I348] 0.00/0.50 0.00/0.50 The dependency graph for this problem is: 0.00/0.50 0 -> 7 0.00/0.50 1 -> 0.00/0.50 2 -> 0.00/0.50 3 -> 1, 2 0.00/0.50 4 -> 3 0.00/0.50 5 -> 3 0.00/0.50 6 -> 4, 5 0.00/0.50 7 -> 6 0.00/0.50 Where: 0.00/0.50 0) f9#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37) 0.00/0.50 1) f5#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114) -> f6#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114) [1 <= I98] 0.00/0.50 2) f5#(I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f6#(I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [1 + I135 <= 0] 0.00/0.50 3) f4#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188) -> f5#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I165, I157, rnd22, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188) [rnd22 = rnd22] 0.00/0.50 4) f3#(I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225) -> f4#(I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225) [1 <= I210] 0.00/0.50 5) f3#(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262) -> f4#(I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262) [1 + I247 <= 0] 0.00/0.50 6) f2#(I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) -> f3#(I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I276, I300, I301, I302, I303, I304, I305, I291, I292, I293, I294, I295, I296, I297, I298, I299) [I305 = I305 /\ I306 = I270 /\ I304 = I304 /\ I307 = I292 /\ I308 = I297 /\ I302 = I302 /\ I303 = I303 /\ I309 = I266 /\ I310 = I267 /\ 0 <= -1 - I309 + I310 /\ I300 = I300 /\ I301 = I301] 0.00/0.50 7) f1#(I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347) -> f2#(I348, I312, I313, I314, I315, I316, I317, I318, rnd9, rnd10, rnd11, rnd12, rnd13, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I349, rnd29, I340, rnd31, rnd32, rnd33, rnd34, rnd35, rnd36, rnd37) [rnd12 = rnd12 /\ rnd13 = rnd13 /\ rnd10 = rnd10 /\ rnd11 = rnd11 /\ rnd32 = rnd32 /\ rnd31 = rnd31 /\ rnd33 = rnd33 /\ rnd9 = rnd9 /\ rnd34 = rnd34 /\ rnd35 = rnd35 /\ I350 = rnd34 /\ rnd29 = rnd29 /\ rnd36 = rnd36 /\ rnd37 = rnd37 /\ I349 = rnd34 /\ I348 = I348] 0.00/0.50 0.00/0.50 We have the following SCCs. 0.00/0.50 0.48/0.51 EOF