/export/starexec/sandbox2/solver/bin/starexec_run_Transition /export/starexec/sandbox2/benchmark/theBenchmark.smt2 /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE DP problem for innermost termination. P = f25#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f21#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f24#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) f24#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f20#(I10, 0, I12, rnd4, 0, I15, 0, I17, I18, I19) [rnd4 <= 1 /\ 0 <= rnd4 /\ rnd4 = rnd4 /\ 0 <= I12 /\ I12 <= 0] f24#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f22#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [1 + I22 <= 0] f24#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f22#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) [1 <= I32] f21#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f2#(rnd1, 0, 0, 0, 0, rnd6, 0, 0, 1, rnd10) [0 <= rnd1 /\ rnd1 = rnd1 /\ 0 <= rnd10 /\ rnd10 = rnd10 /\ rnd6 = 3 + 1] f20#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f19#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) [I69 <= 0] f20#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f6#(I70, I71, I72, I73, I74, I75, I76, I77, I78, -1 + I79) [1 <= I79] f19#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f18#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [1 <= I85] f19#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f6#(I90, I91, I92, I93, I94, I100, I96, 0, 1 + I98, I101) [0 <= I101 /\ I101 = I101 /\ I100 = 3 + 1 + I98 /\ I95 <= 0] f18#(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6#(I102, I103, I104, I105, I106, I107, I108, 1 + I109, I110, I111) [I105 <= 0 /\ I109 <= 0] f18#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f6#(I112, I113, I114, I115, I116, -1 + I117, I118, 0, I120, I121) [1 <= I119] f6#(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f17#(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) f17#(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141) -> f16#(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141) [I133 <= 0] f17#(I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f4#(I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [1 <= I143] f16#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f15#(I152, I153, I154, I155, rnd5, I157, I158, I159, I160, I161) [rnd5 <= 1 /\ 0 <= rnd5 /\ rnd5 = rnd5 /\ I158 <= I152] f16#(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171) -> f4#(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171) [1 + I162 <= I168] f15#(I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) -> f14#(I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) [I181 <= 0] f15#(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191) -> f12#(I182, I183, I184, I185, I186, I187, I188, I189, I190, -1 + I191) [1 <= I191] f14#(I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) -> f13#(I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) [1 <= I197] f14#(I202, I203, I204, I205, I206, I207, I208, I209, I210, I211) -> f12#(I202, I203, I204, I205, I206, I212, I208, 0, 1 + I210, I213) [0 <= I213 /\ I213 = I213 /\ I212 = 3 + 1 + I210 /\ I207 <= 0] f13#(I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f12#(I214, I215, I216, I217, I218, I219, I220, 1 + I221, I222, I223) [I218 <= 0 /\ I221 <= 0] f13#(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f12#(I224, I225, I226, I227, I228, -1 + I229, I230, 0, I232, I233) [1 <= I231] f12#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243) -> f11#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243) [1 <= I238] f12#(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f5#(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) [1 + I248 <= 1] f11#(I254, I255, I256, I257, I258, I259, I260, I261, I262, I263) -> f10#(I254, rnd2, I256, I257, I258, I259, I260, I261, I262, I263) [rnd2 <= 1 /\ 0 <= rnd2 /\ rnd2 = rnd2 /\ I257 <= 0] f11#(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f5#(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273) [1 <= I267] f10#(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) -> f9#(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) [I283 <= 0] f10#(I284, I285, I286, I287, I288, I289, I290, I291, I292, I293) -> f7#(I284, I285, I286, I287, I288, I289, I290, I291, I292, -1 + I293) [1 <= I293] f9#(I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f8#(I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) [1 <= I299] f9#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f7#(I304, I305, I306, I307, I308, I314, I310, 0, 1 + I312, I315) [0 <= I315 /\ I315 = I315 /\ I314 = 3 + 1 + I312 /\ I309 <= 0] f8#(I316, I317, I318, I319, I320, I321, I322, I323, I324, I325) -> f7#(I316, I317, I318, I319, I320, I321, I322, 1 + I323, I324, I325) [I317 <= 0 /\ I323 <= 0] f8#(I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f7#(I326, I327, I328, I329, I330, -1 + I331, I332, 0, I334, I335) [1 <= I333] f7#(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345) -> f5#(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345) [I344 <= 1 + I336] f5#(I346, I347, I348, I349, I350, I351, I352, I353, I354, I355) -> f6#(I346, I347, I348, I349, I350, I351, 1 + I352, I353, I354, I355) [I354 <= 1 + I346] f4#(I356, I357, I358, I359, I360, I361, I362, I363, I364, I365) -> f3#(I356, I357, I358, I359, I360, I361, I362, I363, I364, I365) f3#(I366, I367, I368, I369, I370, I371, I372, I373, I374, I375) -> f1#(I366, I367, 1, I369, I370, I371, I372, I373, I374, I375) [I367 <= 0] f3#(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) -> f1#(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) [1 <= I377] f1#(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f2#(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [I394 <= 1 + I386] R = f25(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f21(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f24(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) f24(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f20(I10, 0, I12, rnd4, 0, I15, 0, I17, I18, I19) [rnd4 <= 1 /\ 0 <= rnd4 /\ rnd4 = rnd4 /\ 0 <= I12 /\ I12 <= 0] f24(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f22(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [1 + I22 <= 0] f24(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f22(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) [1 <= I32] f22(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f23(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) f21(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f2(rnd1, 0, 0, 0, 0, rnd6, 0, 0, 1, rnd10) [0 <= rnd1 /\ rnd1 = rnd1 /\ 0 <= rnd10 /\ rnd10 = rnd10 /\ rnd6 = 3 + 1] f20(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f19(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) [I69 <= 0] f20(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f6(I70, I71, I72, I73, I74, I75, I76, I77, I78, -1 + I79) [1 <= I79] f19(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f18(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [1 <= I85] f19(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f6(I90, I91, I92, I93, I94, I100, I96, 0, 1 + I98, I101) [0 <= I101 /\ I101 = I101 /\ I100 = 3 + 1 + I98 /\ I95 <= 0] f18(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6(I102, I103, I104, I105, I106, I107, I108, 1 + I109, I110, I111) [I105 <= 0 /\ I109 <= 0] f18(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f6(I112, I113, I114, I115, I116, -1 + I117, I118, 0, I120, I121) [1 <= I119] f6(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f17(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) f17(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141) -> f16(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141) [I133 <= 0] f17(I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f4(I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [1 <= I143] f16(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f15(I152, I153, I154, I155, rnd5, I157, I158, I159, I160, I161) [rnd5 <= 1 /\ 0 <= rnd5 /\ rnd5 = rnd5 /\ I158 <= I152] f16(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171) -> f4(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171) [1 + I162 <= I168] f15(I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) -> f14(I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) [I181 <= 0] f15(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191) -> f12(I182, I183, I184, I185, I186, I187, I188, I189, I190, -1 + I191) [1 <= I191] f14(I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) -> f13(I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) [1 <= I197] f14(I202, I203, I204, I205, I206, I207, I208, I209, I210, I211) -> f12(I202, I203, I204, I205, I206, I212, I208, 0, 1 + I210, I213) [0 <= I213 /\ I213 = I213 /\ I212 = 3 + 1 + I210 /\ I207 <= 0] f13(I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f12(I214, I215, I216, I217, I218, I219, I220, 1 + I221, I222, I223) [I218 <= 0 /\ I221 <= 0] f13(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f12(I224, I225, I226, I227, I228, -1 + I229, I230, 0, I232, I233) [1 <= I231] f12(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243) -> f11(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243) [1 <= I238] f12(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f5(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) [1 + I248 <= 1] f11(I254, I255, I256, I257, I258, I259, I260, I261, I262, I263) -> f10(I254, rnd2, I256, I257, I258, I259, I260, I261, I262, I263) [rnd2 <= 1 /\ 0 <= rnd2 /\ rnd2 = rnd2 /\ I257 <= 0] f11(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f5(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273) [1 <= I267] f10(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) -> f9(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) [I283 <= 0] f10(I284, I285, I286, I287, I288, I289, I290, I291, I292, I293) -> f7(I284, I285, I286, I287, I288, I289, I290, I291, I292, -1 + I293) [1 <= I293] f9(I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f8(I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) [1 <= I299] f9(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f7(I304, I305, I306, I307, I308, I314, I310, 0, 1 + I312, I315) [0 <= I315 /\ I315 = I315 /\ I314 = 3 + 1 + I312 /\ I309 <= 0] f8(I316, I317, I318, I319, I320, I321, I322, I323, I324, I325) -> f7(I316, I317, I318, I319, I320, I321, I322, 1 + I323, I324, I325) [I317 <= 0 /\ I323 <= 0] f8(I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f7(I326, I327, I328, I329, I330, -1 + I331, I332, 0, I334, I335) [1 <= I333] f7(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345) -> f5(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345) [I344 <= 1 + I336] f5(I346, I347, I348, I349, I350, I351, I352, I353, I354, I355) -> f6(I346, I347, I348, I349, I350, I351, 1 + I352, I353, I354, I355) [I354 <= 1 + I346] f4(I356, I357, I358, I359, I360, I361, I362, I363, I364, I365) -> f3(I356, I357, I358, I359, I360, I361, I362, I363, I364, I365) f3(I366, I367, I368, I369, I370, I371, I372, I373, I374, I375) -> f1(I366, I367, 1, I369, I370, I371, I372, I373, I374, I375) [I367 <= 0] f3(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) -> f1(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) [1 <= I377] f1(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f2(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [I394 <= 1 + I386] The dependency graph for this problem is: 0 -> 5 1 -> 2, 3, 4 2 -> 6, 7 3 -> 4 -> 5 -> 1 6 -> 8, 9 7 -> 12 8 -> 10, 11 9 -> 12 10 -> 12 11 -> 12 12 -> 13, 14 13 -> 15, 16 14 -> 35 15 -> 17, 18 16 -> 35 17 -> 19, 20 18 -> 23, 24 19 -> 21, 22 20 -> 23, 24 21 -> 24 22 -> 23, 24 23 -> 25, 26 24 -> 34 25 -> 27, 28 26 -> 34 27 -> 29, 30 28 -> 33 29 -> 31, 32 30 -> 33 31 -> 33 32 -> 33 33 -> 34 34 -> 12 35 -> 36, 37 36 -> 38 37 -> 38 38 -> 1 Where: 0) f25#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f21#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 1) f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f24#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) 2) f24#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f20#(I10, 0, I12, rnd4, 0, I15, 0, I17, I18, I19) [rnd4 <= 1 /\ 0 <= rnd4 /\ rnd4 = rnd4 /\ 0 <= I12 /\ I12 <= 0] 3) f24#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f22#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [1 + I22 <= 0] 4) f24#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f22#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) [1 <= I32] 5) f21#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f2#(rnd1, 0, 0, 0, 0, rnd6, 0, 0, 1, rnd10) [0 <= rnd1 /\ rnd1 = rnd1 /\ 0 <= rnd10 /\ rnd10 = rnd10 /\ rnd6 = 3 + 1] 6) f20#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f19#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) [I69 <= 0] 7) f20#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f6#(I70, I71, I72, I73, I74, I75, I76, I77, I78, -1 + I79) [1 <= I79] 8) f19#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f18#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [1 <= I85] 9) f19#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f6#(I90, I91, I92, I93, I94, I100, I96, 0, 1 + I98, I101) [0 <= I101 /\ I101 = I101 /\ I100 = 3 + 1 + I98 /\ I95 <= 0] 10) f18#(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6#(I102, I103, I104, I105, I106, I107, I108, 1 + I109, I110, I111) [I105 <= 0 /\ I109 <= 0] 11) f18#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f6#(I112, I113, I114, I115, I116, -1 + I117, I118, 0, I120, I121) [1 <= I119] 12) f6#(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f17#(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) 13) f17#(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141) -> f16#(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141) [I133 <= 0] 14) f17#(I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f4#(I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [1 <= I143] 15) f16#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f15#(I152, I153, I154, I155, rnd5, I157, I158, I159, I160, I161) [rnd5 <= 1 /\ 0 <= rnd5 /\ rnd5 = rnd5 /\ I158 <= I152] 16) f16#(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171) -> f4#(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171) [1 + I162 <= I168] 17) f15#(I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) -> f14#(I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) [I181 <= 0] 18) f15#(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191) -> f12#(I182, I183, I184, I185, I186, I187, I188, I189, I190, -1 + I191) [1 <= I191] 19) f14#(I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) -> f13#(I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) [1 <= I197] 20) f14#(I202, I203, I204, I205, I206, I207, I208, I209, I210, I211) -> f12#(I202, I203, I204, I205, I206, I212, I208, 0, 1 + I210, I213) [0 <= I213 /\ I213 = I213 /\ I212 = 3 + 1 + I210 /\ I207 <= 0] 21) f13#(I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f12#(I214, I215, I216, I217, I218, I219, I220, 1 + I221, I222, I223) [I218 <= 0 /\ I221 <= 0] 22) f13#(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f12#(I224, I225, I226, I227, I228, -1 + I229, I230, 0, I232, I233) [1 <= I231] 23) f12#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243) -> f11#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243) [1 <= I238] 24) f12#(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f5#(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) [1 + I248 <= 1] 25) f11#(I254, I255, I256, I257, I258, I259, I260, I261, I262, I263) -> f10#(I254, rnd2, I256, I257, I258, I259, I260, I261, I262, I263) [rnd2 <= 1 /\ 0 <= rnd2 /\ rnd2 = rnd2 /\ I257 <= 0] 26) f11#(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f5#(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273) [1 <= I267] 27) f10#(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) -> f9#(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) [I283 <= 0] 28) f10#(I284, I285, I286, I287, I288, I289, I290, I291, I292, I293) -> f7#(I284, I285, I286, I287, I288, I289, I290, I291, I292, -1 + I293) [1 <= I293] 29) f9#(I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f8#(I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) [1 <= I299] 30) f9#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f7#(I304, I305, I306, I307, I308, I314, I310, 0, 1 + I312, I315) [0 <= I315 /\ I315 = I315 /\ I314 = 3 + 1 + I312 /\ I309 <= 0] 31) f8#(I316, I317, I318, I319, I320, I321, I322, I323, I324, I325) -> f7#(I316, I317, I318, I319, I320, I321, I322, 1 + I323, I324, I325) [I317 <= 0 /\ I323 <= 0] 32) f8#(I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f7#(I326, I327, I328, I329, I330, -1 + I331, I332, 0, I334, I335) [1 <= I333] 33) f7#(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345) -> f5#(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345) [I344 <= 1 + I336] 34) f5#(I346, I347, I348, I349, I350, I351, I352, I353, I354, I355) -> f6#(I346, I347, I348, I349, I350, I351, 1 + I352, I353, I354, I355) [I354 <= 1 + I346] 35) f4#(I356, I357, I358, I359, I360, I361, I362, I363, I364, I365) -> f3#(I356, I357, I358, I359, I360, I361, I362, I363, I364, I365) 36) f3#(I366, I367, I368, I369, I370, I371, I372, I373, I374, I375) -> f1#(I366, I367, 1, I369, I370, I371, I372, I373, I374, I375) [I367 <= 0] 37) f3#(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) -> f1#(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) [1 <= I377] 38) f1#(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f2#(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [I394 <= 1 + I386] We have the following SCCs. { 1, 2, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38 } DP problem for innermost termination. P = f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f24#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) f24#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f20#(I10, 0, I12, rnd4, 0, I15, 0, I17, I18, I19) [rnd4 <= 1 /\ 0 <= rnd4 /\ rnd4 = rnd4 /\ 0 <= I12 /\ I12 <= 0] f20#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f19#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) [I69 <= 0] f20#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f6#(I70, I71, I72, I73, I74, I75, I76, I77, I78, -1 + I79) [1 <= I79] f19#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f18#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [1 <= I85] f19#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f6#(I90, I91, I92, I93, I94, I100, I96, 0, 1 + I98, I101) [0 <= I101 /\ I101 = I101 /\ I100 = 3 + 1 + I98 /\ I95 <= 0] f18#(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6#(I102, I103, I104, I105, I106, I107, I108, 1 + I109, I110, I111) [I105 <= 0 /\ I109 <= 0] f18#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f6#(I112, I113, I114, I115, I116, -1 + I117, I118, 0, I120, I121) [1 <= I119] f6#(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f17#(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) f17#(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141) -> f16#(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141) [I133 <= 0] f17#(I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f4#(I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [1 <= I143] f16#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f15#(I152, I153, I154, I155, rnd5, I157, I158, I159, I160, I161) [rnd5 <= 1 /\ 0 <= rnd5 /\ rnd5 = rnd5 /\ I158 <= I152] f16#(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171) -> f4#(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171) [1 + I162 <= I168] f15#(I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) -> f14#(I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) [I181 <= 0] f15#(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191) -> f12#(I182, I183, I184, I185, I186, I187, I188, I189, I190, -1 + I191) [1 <= I191] f14#(I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) -> f13#(I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) [1 <= I197] f14#(I202, I203, I204, I205, I206, I207, I208, I209, I210, I211) -> f12#(I202, I203, I204, I205, I206, I212, I208, 0, 1 + I210, I213) [0 <= I213 /\ I213 = I213 /\ I212 = 3 + 1 + I210 /\ I207 <= 0] f13#(I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f12#(I214, I215, I216, I217, I218, I219, I220, 1 + I221, I222, I223) [I218 <= 0 /\ I221 <= 0] f13#(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f12#(I224, I225, I226, I227, I228, -1 + I229, I230, 0, I232, I233) [1 <= I231] f12#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243) -> f11#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243) [1 <= I238] f12#(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f5#(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) [1 + I248 <= 1] f11#(I254, I255, I256, I257, I258, I259, I260, I261, I262, I263) -> f10#(I254, rnd2, I256, I257, I258, I259, I260, I261, I262, I263) [rnd2 <= 1 /\ 0 <= rnd2 /\ rnd2 = rnd2 /\ I257 <= 0] f11#(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f5#(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273) [1 <= I267] f10#(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) -> f9#(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) [I283 <= 0] f10#(I284, I285, I286, I287, I288, I289, I290, I291, I292, I293) -> f7#(I284, I285, I286, I287, I288, I289, I290, I291, I292, -1 + I293) [1 <= I293] f9#(I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f8#(I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) [1 <= I299] f9#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f7#(I304, I305, I306, I307, I308, I314, I310, 0, 1 + I312, I315) [0 <= I315 /\ I315 = I315 /\ I314 = 3 + 1 + I312 /\ I309 <= 0] f8#(I316, I317, I318, I319, I320, I321, I322, I323, I324, I325) -> f7#(I316, I317, I318, I319, I320, I321, I322, 1 + I323, I324, I325) [I317 <= 0 /\ I323 <= 0] f8#(I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f7#(I326, I327, I328, I329, I330, -1 + I331, I332, 0, I334, I335) [1 <= I333] f7#(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345) -> f5#(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345) [I344 <= 1 + I336] f5#(I346, I347, I348, I349, I350, I351, I352, I353, I354, I355) -> f6#(I346, I347, I348, I349, I350, I351, 1 + I352, I353, I354, I355) [I354 <= 1 + I346] f4#(I356, I357, I358, I359, I360, I361, I362, I363, I364, I365) -> f3#(I356, I357, I358, I359, I360, I361, I362, I363, I364, I365) f3#(I366, I367, I368, I369, I370, I371, I372, I373, I374, I375) -> f1#(I366, I367, 1, I369, I370, I371, I372, I373, I374, I375) [I367 <= 0] f3#(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) -> f1#(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) [1 <= I377] f1#(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f2#(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [I394 <= 1 + I386] R = f25(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f21(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f24(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) f24(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f20(I10, 0, I12, rnd4, 0, I15, 0, I17, I18, I19) [rnd4 <= 1 /\ 0 <= rnd4 /\ rnd4 = rnd4 /\ 0 <= I12 /\ I12 <= 0] f24(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f22(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [1 + I22 <= 0] f24(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f22(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) [1 <= I32] f22(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f23(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) f21(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f2(rnd1, 0, 0, 0, 0, rnd6, 0, 0, 1, rnd10) [0 <= rnd1 /\ rnd1 = rnd1 /\ 0 <= rnd10 /\ rnd10 = rnd10 /\ rnd6 = 3 + 1] f20(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f19(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) [I69 <= 0] f20(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f6(I70, I71, I72, I73, I74, I75, I76, I77, I78, -1 + I79) [1 <= I79] f19(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f18(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [1 <= I85] f19(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f6(I90, I91, I92, I93, I94, I100, I96, 0, 1 + I98, I101) [0 <= I101 /\ I101 = I101 /\ I100 = 3 + 1 + I98 /\ I95 <= 0] f18(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6(I102, I103, I104, I105, I106, I107, I108, 1 + I109, I110, I111) [I105 <= 0 /\ I109 <= 0] f18(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f6(I112, I113, I114, I115, I116, -1 + I117, I118, 0, I120, I121) [1 <= I119] f6(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f17(I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) f17(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141) -> f16(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141) [I133 <= 0] f17(I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f4(I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [1 <= I143] f16(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f15(I152, I153, I154, I155, rnd5, I157, I158, I159, I160, I161) [rnd5 <= 1 /\ 0 <= rnd5 /\ rnd5 = rnd5 /\ I158 <= I152] f16(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171) -> f4(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171) [1 + I162 <= I168] f15(I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) -> f14(I172, I173, I174, I175, I176, I177, I178, I179, I180, I181) [I181 <= 0] f15(I182, I183, I184, I185, I186, I187, I188, I189, I190, I191) -> f12(I182, I183, I184, I185, I186, I187, I188, I189, I190, -1 + I191) [1 <= I191] f14(I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) -> f13(I192, I193, I194, I195, I196, I197, I198, I199, I200, I201) [1 <= I197] f14(I202, I203, I204, I205, I206, I207, I208, I209, I210, I211) -> f12(I202, I203, I204, I205, I206, I212, I208, 0, 1 + I210, I213) [0 <= I213 /\ I213 = I213 /\ I212 = 3 + 1 + I210 /\ I207 <= 0] f13(I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f12(I214, I215, I216, I217, I218, I219, I220, 1 + I221, I222, I223) [I218 <= 0 /\ I221 <= 0] f13(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f12(I224, I225, I226, I227, I228, -1 + I229, I230, 0, I232, I233) [1 <= I231] f12(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243) -> f11(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243) [1 <= I238] f12(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f5(I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) [1 + I248 <= 1] f11(I254, I255, I256, I257, I258, I259, I260, I261, I262, I263) -> f10(I254, rnd2, I256, I257, I258, I259, I260, I261, I262, I263) [rnd2 <= 1 /\ 0 <= rnd2 /\ rnd2 = rnd2 /\ I257 <= 0] f11(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f5(I264, I265, I266, I267, I268, I269, I270, I271, I272, I273) [1 <= I267] f10(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) -> f9(I274, I275, I276, I277, I278, I279, I280, I281, I282, I283) [I283 <= 0] f10(I284, I285, I286, I287, I288, I289, I290, I291, I292, I293) -> f7(I284, I285, I286, I287, I288, I289, I290, I291, I292, -1 + I293) [1 <= I293] f9(I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f8(I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) [1 <= I299] f9(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313) -> f7(I304, I305, I306, I307, I308, I314, I310, 0, 1 + I312, I315) [0 <= I315 /\ I315 = I315 /\ I314 = 3 + 1 + I312 /\ I309 <= 0] f8(I316, I317, I318, I319, I320, I321, I322, I323, I324, I325) -> f7(I316, I317, I318, I319, I320, I321, I322, 1 + I323, I324, I325) [I317 <= 0 /\ I323 <= 0] f8(I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f7(I326, I327, I328, I329, I330, -1 + I331, I332, 0, I334, I335) [1 <= I333] f7(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345) -> f5(I336, I337, I338, I339, I340, I341, I342, I343, I344, I345) [I344 <= 1 + I336] f5(I346, I347, I348, I349, I350, I351, I352, I353, I354, I355) -> f6(I346, I347, I348, I349, I350, I351, 1 + I352, I353, I354, I355) [I354 <= 1 + I346] f4(I356, I357, I358, I359, I360, I361, I362, I363, I364, I365) -> f3(I356, I357, I358, I359, I360, I361, I362, I363, I364, I365) f3(I366, I367, I368, I369, I370, I371, I372, I373, I374, I375) -> f1(I366, I367, 1, I369, I370, I371, I372, I373, I374, I375) [I367 <= 0] f3(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) -> f1(I376, I377, I378, I379, I380, I381, I382, I383, I384, I385) [1 <= I377] f1(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f2(I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [I394 <= 1 + I386]