Integer Transition Systems pair #487525719

details
property	value
status	complete
benchmark	bf6.t2.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n073.star.cs.uiowa.edu
space	From_T2
run statistics
property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	146.975814104 seconds
cpu usage	156.677749456
max memory	3.6261888E7
stage attributes
key	value
output-size	50964
starexec-result	YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_Transition /export/starexec/sandbox2/benchmark/theBenchmark.smt2 /export/starexec/sandbox2/output/output_files


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YES

DP problem for innermost termination.
P =
  f18#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f17#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
  f17#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f4#(I0, I1, I1, 0, I4, I0, 0, I7, I8) 
  f3#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f1#(I9, I10, I11, I12, I13, I14, I15, I16, I17) 
  f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f16#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I21 <= I23]
  f5#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f9#(I27, I28, I29, 0, I31, I32, I33, I34, I35) [I32 <= I30]
  f16#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f15#(I36, I37, I38, I39, I40, I41, I42, I43, I44) [I42 <= I39 /\ I39 <= I42]
  f16#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f14#(I45, I46, I47, I48, I49, I50, I51, I52, I53) [1 + I48 <= I51]
  f16#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f14#(I54, I55, I56, I57, I58, I59, I60, I61, I62) [1 + I60 <= I57]
  f7#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f8#(I63, I64, I65, I66, I67, I68, I69, I70, I71) 
  f15#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f4#(I72, I73, I74, 1 + I75, I76, I77, I78, I79, I80) 
  f14#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f15#(I81, I82, I83, I84, I85, I86, I87, I88, I89) 
  f10#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f12#(I90, I91, I92, I93, 0, I95, I96, I97, I98) [1 + I93 <= I95]
  f10#(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f7#(I99, I100, I101, 0, I103, I104, I105, I106, I107) [I104 <= I102]
  f13#(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f11#(I108, I109, I110, I111, I112, I113, I114, rnd8, rnd9) [rnd9 = rnd9 /\ rnd8 = rnd8 /\ 1 + I112 <= I110]
  f13#(I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f9#(I117, I118, I119, 1 + I120, I121, I122, I123, I124, I125) [I119 <= I121]
  f12#(I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f13#(I126, I127, I128, I129, I130, I131, I132, I133, I134) 
  f11#(I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f12#(I135, I136, I137, I138, 1 + I139, I140, I141, I142, I143) 
  f9#(I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f10#(I144, I145, I146, I147, I148, I149, I150, I151, I152) 
  f8#(I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f6#(I153, I154, I155, I156, I157, I158, I159, I162, I163) [I163 = I163 /\ I162 = I162 /\ 1 + I156 <= I155]
  f8#(I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f3#(I164, I165, I166, 0, I168, I169, I170, I171, I172) [I166 <= I167]
  f6#(I182, I183, I184, I185, I186, I187, I188, I189, I190) -> f7#(I182, I183, I184, 1 + I185, I186, I187, I188, I189, I190) 
  f4#(I191, I192, I193, I194, I195, I196, I197, I198, I199) -> f5#(I191, I192, I193, I194, I195, I196, I197, I198, I199) 
  f1#(I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f3#(I200, I201, I202, 1 + I203, I204, I205, I206, I207, I208) [1 + I203 <= I205]
R = 
  f18(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f17(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
  f17(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f4(I0, I1, I1, 0, I4, I0, 0, I7, I8) 
  f3(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f1(I9, I10, I11, I12, I13, I14, I15, I16, I17) 
  f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f16(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I21 <= I23]
  f5(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f9(I27, I28, I29, 0, I31, I32, I33, I34, I35) [I32 <= I30]
  f16(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f15(I36, I37, I38, I39, I40, I41, I42, I43, I44) [I42 <= I39 /\ I39 <= I42]
  f16(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f14(I45, I46, I47, I48, I49, I50, I51, I52, I53) [1 + I48 <= I51]
  f16(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f14(I54, I55, I56, I57, I58, I59, I60, I61, I62) [1 + I60 <= I57]
  f7(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f8(I63, I64, I65, I66, I67, I68, I69, I70, I71) 
  f15(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f4(I72, I73, I74, 1 + I75, I76, I77, I78, I79, I80) 
  f14(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f15(I81, I82, I83, I84, I85, I86, I87, I88, I89) 
  f10(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f12(I90, I91, I92, I93, 0, I95, I96, I97, I98) [1 + I93 <= I95]
  f10(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f7(I99, I100, I101, 0, I103, I104, I105, I106, I107) [I104 <= I102]
  f13(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f11(I108, I109, I110, I111, I112, I113, I114, rnd8, rnd9) [rnd9 = rnd9 /\ rnd8 = rnd8 /\ 1 + I112 <= I110]
  f13(I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f9(I117, I118, I119, 1 + I120, I121, I122, I123, I124, I125) [I119 <= I121]
  f12(I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f13(I126, I127, I128, I129, I130, I131, I132, I133, I134) 
  f11(I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f12(I135, I136, I137, I138, 1 + I139, I140, I141, I142, I143) 
  f9(I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f10(I144, I145, I146, I147, I148, I149, I150, I151, I152) 
  f8(I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f6(I153, I154, I155, I156, I157, I158, I159, I162, I163) [I163 = I163 /\ I162 = I162 /\ 1 + I156 <= I155]
  f8(I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f3(I164, I165, I166, 0, I168, I169, I170, I171, I172) [I166 <= I167]
  f6(I173, I174, I175, I176, I177, I178, I179, I180, I181) -> f2(I173, I174, I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188, I189, I190) -> f7(I182, I183, I184, 1 + I185, I186, I187, I188, I189, I190) 
  f4(I191, I192, I193, I194, I195, I196, I197, I198, I199) -> f5(I191, I192, I193, I194, I195, I196, I197, I198, I199) 
  f1(I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f3(I200, I201, I202, 1 + I203, I204, I205, I206, I207, I208) [1 + I203 <= I205]
  f1(I209, I210, I211, I212, I213, I214, I215, I216, I217) -> f2(I209, I210, I211, I212, I213, I214, I215, I216, I217) [I214 <= I212]

The dependency graph for this problem is:
  0 -> 1
  1 -> 21
  2 -> 22
  3 -> 5, 6, 7
  4 -> 17
  5 -> 9
  6 -> 10
  7 -> 10
  8 -> 18, 19
  9 -> 21
  10 -> 9
  11 -> 15
  12 -> 8
  13 -> 16
  14 -> 17
  15 -> 13, 14
  16 -> 15
  17 -> 11, 12
  18 -> 20
  19 -> 2
  20 -> 8
  21 -> 3, 4
  22 -> 2
Where:
  0) f18#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f17#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
  1) f17#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f4#(I0, I1, I1, 0, I4, I0, 0, I7, I8) 
  2) f3#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f1#(I9, I10, I11, I12, I13, I14, I15, I16, I17) 
  3) f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f16#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I21 <= I23]
  4) f5#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f9#(I27, I28, I29, 0, I31, I32, I33, I34, I35) [I32 <= I30]
  5) f16#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f15#(I36, I37, I38, I39, I40, I41, I42, I43, I44) [I42 <= I39 /\ I39 <= I42]
  6) f16#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f14#(I45, I46, I47, I48, I49, I50, I51, I52, I53) [1 + I48 <= I51]
  7) f16#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f14#(I54, I55, I56, I57, I58, I59, I60, I61, I62) [1 + I60 <= I57]
  8) f7#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f8#(I63, I64, I65, I66, I67, I68, I69, I70, I71) 
  9) f15#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f4#(I72, I73, I74, 1 + I75, I76, I77, I78, I79, I80) 
  10) f14#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f15#(I81, I82, I83, I84, I85, I86, I87, I88, I89) 
  11) f10#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f12#(I90, I91, I92, I93, 0, I95, I96, I97, I98) [1 + I93 <= I95]
  12) f10#(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f7#(I99, I100, I101, 0, I103, I104, I105, I106, I107) [I104 <= I102]
  13) f13#(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f11#(I108, I109, I110, I111, I112, I113, I114, rnd8, rnd9) [rnd9 = rnd9 /\ rnd8 = rnd8 /\ 1 + I112 <= I110]
  14) f13#(I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f9#(I117, I118, I119, 1 + I120, I121, I122, I123, I124, I125) [I119 <= I121]
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