/export/starexec/sandbox/solver/bin/starexec_run_Transition /export/starexec/sandbox/benchmark/theBenchmark.smt2 /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES DP problem for innermost termination. P = f14#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) f13#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18) -> f5#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I0, 2, 1) f4#(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) -> f1#(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I36 + I37, I35, I36, I37) [I36 <= I37] f4#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f1#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I55 - I56, I54, I55, I56) [1 + I56 <= I55] f6#(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f12#(I57, I73, I59, I74, I61, I75, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) [I73 <= I75] f6#(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f8#(I76, I77, I94, I79, I93, I81, I92, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) [1 + I94 <= I92] f12#(I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113) -> f11#(I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113) [I96 <= I98] f12#(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) -> f9#(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) [1 + I117 <= I115] f11#(I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f10#(I133, I134, I135, I136, I137, I138, I139, I134, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [I134 <= I138] f11#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f10#(I152, I153, I154, I155, I156, I157, I158, I157, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) [1 + I157 <= I153] f10#(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) -> f4#(I171, I172, I173, I174, I175, I176, I177, I178, I179, I178, I181, I182, I183, I178, I185, I186, I178 + I187, I188, I189) f9#(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f10#(I190, I191, I192, I193, I194, I195, I196, I193, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) [I193 <= I195] f9#(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) -> f10#(I209, I210, I211, I212, I213, I214, I215, I214, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) [1 + I214 <= I212] f8#(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f7#(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, rnd11, I239, I240, I241, I242, I243, I244, I245, I246) [rnd11 = rnd11 /\ I230 <= I232] f8#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) -> f7#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) [1 + I251 <= I249] f7#(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) -> f3#(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, rnd12, I278, I279, I280, I281, I282, I283, I284) [rnd12 = rnd12 /\ I268 <= I272] f7#(I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f3#(I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) [1 + I291 <= I287] f5#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322) -> f4#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, rnd13, I317, I318, I319, I320, I321, I322) [rnd13 = rnd13 /\ I320 <= I321] f5#(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f6#(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I340 <= I339] f3#(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f4#(I342, I343, I344, I345, I346, I347, I348, I349, I344, I351, I352, I353, I354, I355, I344, I357, I358, I359, rnd19) [rnd19 = rnd19] R = f14(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) f13(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18) -> f5(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I0, 2, 1) f4(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) -> f1(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I36 + I37, I35, I36, I37) [I36 <= I37] f4(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f1(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I55 - I56, I54, I55, I56) [1 + I56 <= I55] f6(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f12(I57, I73, I59, I74, I61, I75, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) [I73 <= I75] f6(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f8(I76, I77, I94, I79, I93, I81, I92, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) [1 + I94 <= I92] f12(I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113) -> f11(I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113) [I96 <= I98] f12(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) -> f9(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) [1 + I117 <= I115] f11(I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f10(I133, I134, I135, I136, I137, I138, I139, I134, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [I134 <= I138] f11(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f10(I152, I153, I154, I155, I156, I157, I158, I157, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) [1 + I157 <= I153] f10(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) -> f4(I171, I172, I173, I174, I175, I176, I177, I178, I179, I178, I181, I182, I183, I178, I185, I186, I178 + I187, I188, I189) f9(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f10(I190, I191, I192, I193, I194, I195, I196, I193, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) [I193 <= I195] f9(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) -> f10(I209, I210, I211, I212, I213, I214, I215, I214, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) [1 + I214 <= I212] f8(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f7(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, rnd11, I239, I240, I241, I242, I243, I244, I245, I246) [rnd11 = rnd11 /\ I230 <= I232] f8(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) -> f7(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) [1 + I251 <= I249] f7(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) -> f3(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, rnd12, I278, I279, I280, I281, I282, I283, I284) [rnd12 = rnd12 /\ I268 <= I272] f7(I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f3(I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) [1 + I291 <= I287] f5(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322) -> f4(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, rnd13, I317, I318, I319, I320, I321, I322) [rnd13 = rnd13 /\ I320 <= I321] f5(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f6(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I340 <= I339] f3(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f4(I342, I343, I344, I345, I346, I347, I348, I349, I344, I351, I352, I353, I354, I355, I344, I357, I358, I359, rnd19) [rnd19 = rnd19] f1(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) -> f2(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) The dependency graph for this problem is: 0 -> 1 1 -> 17, 18 2 -> 3 -> 4 -> 6, 7 5 -> 13, 14 6 -> 8, 9 7 -> 11, 12 8 -> 10 9 -> 10 10 -> 2, 3 11 -> 10 12 -> 10 13 -> 15, 16 14 -> 15, 16 15 -> 19 16 -> 19 17 -> 2, 3 18 -> 4, 5 19 -> 2, 3 Where: 0) f14#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) 1) f13#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18) -> f5#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I0, 2, 1) 2) f4#(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) -> f1#(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I36 + I37, I35, I36, I37) [I36 <= I37] 3) f4#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f1#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I55 - I56, I54, I55, I56) [1 + I56 <= I55] 4) f6#(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f12#(I57, I73, I59, I74, I61, I75, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) [I73 <= I75] 5) f6#(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f8#(I76, I77, I94, I79, I93, I81, I92, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) [1 + I94 <= I92] 6) f12#(I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113) -> f11#(I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113) [I96 <= I98] 7) f12#(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) -> f9#(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) [1 + I117 <= I115] 8) f11#(I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f10#(I133, I134, I135, I136, I137, I138, I139, I134, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [I134 <= I138] 9) f11#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f10#(I152, I153, I154, I155, I156, I157, I158, I157, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) [1 + I157 <= I153] 10) f10#(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) -> f4#(I171, I172, I173, I174, I175, I176, I177, I178, I179, I178, I181, I182, I183, I178, I185, I186, I178 + I187, I188, I189) 11) f9#(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f10#(I190, I191, I192, I193, I194, I195, I196, I193, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) [I193 <= I195] 12) f9#(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) -> f10#(I209, I210, I211, I212, I213, I214, I215, I214, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) [1 + I214 <= I212] 13) f8#(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f7#(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, rnd11, I239, I240, I241, I242, I243, I244, I245, I246) [rnd11 = rnd11 /\ I230 <= I232] 14) f8#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) -> f7#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) [1 + I251 <= I249] 15) f7#(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) -> f3#(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, rnd12, I278, I279, I280, I281, I282, I283, I284) [rnd12 = rnd12 /\ I268 <= I272] 16) f7#(I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f3#(I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) [1 + I291 <= I287] 17) f5#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322) -> f4#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, rnd13, I317, I318, I319, I320, I321, I322) [rnd13 = rnd13 /\ I320 <= I321] 18) f5#(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f6#(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I340 <= I339] 19) f3#(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f4#(I342, I343, I344, I345, I346, I347, I348, I349, I344, I351, I352, I353, I354, I355, I344, I357, I358, I359, rnd19) [rnd19 = rnd19] We have the following SCCs.