/export/starexec/sandbox/solver/bin/starexec_run_Transition /export/starexec/sandbox/benchmark/theBenchmark.smt2 /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE DP problem for innermost termination. P = f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f1#(rnd1, I1, I2, I3, I4, I5, I6, I1, I8, I9, I10, I11, I12, I13, I14, I15, 1) [y1 = 1 /\ rnd1 = rnd1] f3#(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f6#(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) [I32 <= 0] f3#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f2#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) [1 <= I49] f11#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) -> f7#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) f7#(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f11#(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) f2#(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101) -> f10#(I85, I86, I87, I88, 0, I90, I91, I92, rnd9, I94, I95, rnd12, I97, rnd14, I99, I100, 0) [rnd9 = rnd12 /\ rnd12 = rnd14 /\ rnd14 = rnd14 /\ 1 <= I101] f2#(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f10#(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118) [I118 <= 0] f10#(I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) -> f9#(I119, I120, I121, I122, I123, 0, rnd7, I126, I127, I128, rnd11, I130, I131, I132, rnd15, I134, I135) [rnd7 = rnd11 /\ rnd11 = rnd15 /\ rnd15 = rnd15 /\ I135 <= 0] f10#(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f8#(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) [1 <= I152] f9#(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) -> f8#(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, 1) [1000 <= I159 - I161] f9#(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186) -> f8#(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186) [1 + I176 - I178 <= 1000] f8#(I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) -> f6#(I187, I188, rnd3, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [rnd3 = rnd3] f6#(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) -> f7#(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) f1#(I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254) -> f3#(I238, rnd2, I240, 1, I242, I243, I244, 0, I246, rnd10, I248, I249, rnd13, I251, I252, rnd16, I254) [rnd16 = rnd13 /\ rnd13 = rnd10 /\ rnd10 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I245] f1#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) -> f2#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) [I262 <= 0] R = f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f1(rnd1, I1, I2, I3, I4, I5, I6, I1, I8, I9, I10, I11, I12, I13, I14, I15, 1) [y1 = 1 /\ rnd1 = rnd1] f3(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f6(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) [I32 <= 0] f3(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f2(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) [1 <= I49] f11(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) -> f7(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) f7(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f11(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) f2(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101) -> f10(I85, I86, I87, I88, 0, I90, I91, I92, rnd9, I94, I95, rnd12, I97, rnd14, I99, I100, 0) [rnd9 = rnd12 /\ rnd12 = rnd14 /\ rnd14 = rnd14 /\ 1 <= I101] f2(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f10(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118) [I118 <= 0] f10(I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) -> f9(I119, I120, I121, I122, I123, 0, rnd7, I126, I127, I128, rnd11, I130, I131, I132, rnd15, I134, I135) [rnd7 = rnd11 /\ rnd11 = rnd15 /\ rnd15 = rnd15 /\ I135 <= 0] f10(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f8(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) [1 <= I152] f9(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) -> f8(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, 1) [1000 <= I159 - I161] f9(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186) -> f8(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186) [1 + I176 - I178 <= 1000] f8(I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) -> f6(I187, I188, rnd3, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [rnd3 = rnd3] f6(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) -> f7(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) f4(I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237) -> f5(I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237) f1(I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254) -> f3(I238, rnd2, I240, 1, I242, I243, I244, 0, I246, rnd10, I248, I249, rnd13, I251, I252, rnd16, I254) [rnd16 = rnd13 /\ rnd13 = rnd10 /\ rnd10 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I245] f1(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) -> f2(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) [I262 <= 0] The dependency graph for this problem is: 0 -> 1 1 -> 14, 15 2 -> 13 3 -> 6, 7 4 -> 5 5 -> 4 6 -> 8 7 -> 8 8 -> 10, 11 9 -> 12 10 -> 12 11 -> 12 12 -> 13 13 -> 5 14 -> 2, 3 15 -> 6, 7 Where: 0) f13#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) 1) f12#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f1#(rnd1, I1, I2, I3, I4, I5, I6, I1, I8, I9, I10, I11, I12, I13, I14, I15, 1) [y1 = 1 /\ rnd1 = rnd1] 2) f3#(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f6#(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) [I32 <= 0] 3) f3#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f2#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) [1 <= I49] 4) f11#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) -> f7#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) 5) f7#(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f11#(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) 6) f2#(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101) -> f10#(I85, I86, I87, I88, 0, I90, I91, I92, rnd9, I94, I95, rnd12, I97, rnd14, I99, I100, 0) [rnd9 = rnd12 /\ rnd12 = rnd14 /\ rnd14 = rnd14 /\ 1 <= I101] 7) f2#(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f10#(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118) [I118 <= 0] 8) f10#(I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) -> f9#(I119, I120, I121, I122, I123, 0, rnd7, I126, I127, I128, rnd11, I130, I131, I132, rnd15, I134, I135) [rnd7 = rnd11 /\ rnd11 = rnd15 /\ rnd15 = rnd15 /\ I135 <= 0] 9) f10#(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f8#(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) [1 <= I152] 10) f9#(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) -> f8#(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, 1) [1000 <= I159 - I161] 11) f9#(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186) -> f8#(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186) [1 + I176 - I178 <= 1000] 12) f8#(I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) -> f6#(I187, I188, rnd3, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [rnd3 = rnd3] 13) f6#(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) -> f7#(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) 14) f1#(I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254) -> f3#(I238, rnd2, I240, 1, I242, I243, I244, 0, I246, rnd10, I248, I249, rnd13, I251, I252, rnd16, I254) [rnd16 = rnd13 /\ rnd13 = rnd10 /\ rnd10 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I245] 15) f1#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) -> f2#(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) [I262 <= 0] We have the following SCCs. { 4, 5 } DP problem for innermost termination. P = f11#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) -> f7#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) f7#(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f11#(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) R = f13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) f12(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f1(rnd1, I1, I2, I3, I4, I5, I6, I1, I8, I9, I10, I11, I12, I13, I14, I15, 1) [y1 = 1 /\ rnd1 = rnd1] f3(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f6(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) [I32 <= 0] f3(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f2(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) [1 <= I49] f11(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) -> f7(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67) f7(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f11(I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) f2(I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101) -> f10(I85, I86, I87, I88, 0, I90, I91, I92, rnd9, I94, I95, rnd12, I97, rnd14, I99, I100, 0) [rnd9 = rnd12 /\ rnd12 = rnd14 /\ rnd14 = rnd14 /\ 1 <= I101] f2(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f10(I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118) [I118 <= 0] f10(I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135) -> f9(I119, I120, I121, I122, I123, 0, rnd7, I126, I127, I128, rnd11, I130, I131, I132, rnd15, I134, I135) [rnd7 = rnd11 /\ rnd11 = rnd15 /\ rnd15 = rnd15 /\ I135 <= 0] f10(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f8(I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) [1 <= I152] f9(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) -> f8(I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, 1) [1000 <= I159 - I161] f9(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186) -> f8(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186) [1 + I176 - I178 <= 1000] f8(I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) -> f6(I187, I188, rnd3, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [rnd3 = rnd3] f6(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) -> f7(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) f4(I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237) -> f5(I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237) f1(I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254) -> f3(I238, rnd2, I240, 1, I242, I243, I244, 0, I246, rnd10, I248, I249, rnd13, I251, I252, rnd16, I254) [rnd16 = rnd13 /\ rnd13 = rnd10 /\ rnd10 = rnd2 /\ rnd2 = rnd2 /\ 1 <= I245] f1(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) -> f2(I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) [I262 <= 0]