Integer Transition Systems pair #487525521

details
property	value
status	complete
benchmark	bsort100.t2.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n084.star.cs.uiowa.edu
space	From_T2
run statistics
property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	124.965237856 seconds
cpu usage	134.11185096
max memory	3.34848E7
stage attributes
key	value
output-size	33634
starexec-result	YES
output
/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 =
  f16#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f15#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
  f15#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3#(1, I1, I2, I3, I4, I5, rnd7, -1, I8) [rnd7 = -1]
  f11#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f10#(I9, 1, 1, I12, I13, I14, I15, I16, I17) [I17 <= I14]
  f11#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f4#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I23 <= I26]
  f10#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f14#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 
  f14#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f13#(I36, I37, I38, I39, I40, I41, I42, I43, I44) [I37 <= I41]
  f14#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f7#(I45, I46, I47, I48, I49, I50, I51, I52, I53) [1 + I50 <= I46]
  f13#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f7#(I54, I55, I56, I57, I58, I59, I60, I61, I62) [1 + I58 - I62 <= I55]
  f13#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f12#(I63, I64, I65, I66, I67, I68, I69, I70, I71) [I64 <= I67 - I71]
  f12#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f9#(I72, I73, I74, I75, I76, I77, I78, I79, I80) 
  f12#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f9#(I81, I82, 0, rnd4, I85, I86, I87, I88, I89) [rnd4 = rnd4]
  f2#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f11#(I90, I91, I92, I93, I94, I95, I96, I97, I98) 
  f9#(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f10#(I99, 1 + I100, I101, I102, I103, I104, I105, I106, I107) 
  f8#(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f6#(I108, I109, I110, I111, I112, I113, I114, I115, I116) [1 + I110 <= 0]
  f8#(I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f6#(I117, I118, I119, I120, I121, I122, I123, I124, I125) [1 <= I119]
  f8#(I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f2#(I126, I127, I128, I129, I130, I131, I132, I133, 1 + I134) [0 <= I128 /\ I128 <= 0]
  f7#(I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f8#(I135, I136, I137, I138, I139, I140, I141, I142, I143) 
  f6#(I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f4#(I144, I145, I146, I147, I148, I149, I150, I151, I152) 
  f3#(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f1#(I162, I163, I164, I165, I166, I167, I168, I169, I170) 
  f1#(I171, I172, I173, I174, I175, I176, I177, I178, I179) -> f3#(1 + I171, I172, I173, I174, I175, I176, I177, I178, I179) [I171 <= I175]
  f1#(I180, I181, I182, I183, I184, I185, I186, I187, I188) -> f2#(I180, I181, 0, I183, I184, I185, I186, I187, 1) [1 + I184 <= I180]
R = 
  f16(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f15(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
  f15(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3(1, I1, I2, I3, I4, I5, rnd7, -1, I8) [rnd7 = -1]
  f11(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f10(I9, 1, 1, I12, I13, I14, I15, I16, I17) [I17 <= I14]
  f11(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f4(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I23 <= I26]
  f10(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f14(I27, I28, I29, I30, I31, I32, I33, I34, I35) 
  f14(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f13(I36, I37, I38, I39, I40, I41, I42, I43, I44) [I37 <= I41]
  f14(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f7(I45, I46, I47, I48, I49, I50, I51, I52, I53) [1 + I50 <= I46]
  f13(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f7(I54, I55, I56, I57, I58, I59, I60, I61, I62) [1 + I58 - I62 <= I55]
  f13(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f12(I63, I64, I65, I66, I67, I68, I69, I70, I71) [I64 <= I67 - I71]
  f12(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f9(I72, I73, I74, I75, I76, I77, I78, I79, I80) 
  f12(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f9(I81, I82, 0, rnd4, I85, I86, I87, I88, I89) [rnd4 = rnd4]
  f2(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f11(I90, I91, I92, I93, I94, I95, I96, I97, I98) 
  f9(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f10(I99, 1 + I100, I101, I102, I103, I104, I105, I106, I107) 
  f8(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f6(I108, I109, I110, I111, I112, I113, I114, I115, I116) [1 + I110 <= 0]
  f8(I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f6(I117, I118, I119, I120, I121, I122, I123, I124, I125) [1 <= I119]
  f8(I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f2(I126, I127, I128, I129, I130, I131, I132, I133, 1 + I134) [0 <= I128 /\ I128 <= 0]
  f7(I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f8(I135, I136, I137, I138, I139, I140, I141, I142, I143) 
  f6(I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f4(I144, I145, I146, I147, I148, I149, I150, I151, I152) 
  f4(I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f5(I153, I154, I155, I156, I157, I158, I159, I160, I161) 
  f3(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f1(I162, I163, I164, I165, I166, I167, I168, I169, I170) 
  f1(I171, I172, I173, I174, I175, I176, I177, I178, I179) -> f3(1 + I171, I172, I173, I174, I175, I176, I177, I178, I179) [I171 <= I175]
  f1(I180, I181, I182, I183, I184, I185, I186, I187, I188) -> f2(I180, I181, 0, I183, I184, I185, I186, I187, 1) [1 + I184 <= I180]

The dependency graph for this problem is:
  0 -> 1
  1 -> 18
  2 -> 4
  3 -> 
  4 -> 5, 6
  5 -> 7, 8
  6 -> 16
  7 -> 16
  8 -> 9, 10
  9 -> 12
  10 -> 12
  11 -> 2, 3
  12 -> 4
  13 -> 17
  14 -> 17
  15 -> 11
  16 -> 13, 14, 15
  17 -> 
  18 -> 19, 20
  19 -> 18
  20 -> 11
Where:
  0) f16#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f15#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
  1) f15#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3#(1, I1, I2, I3, I4, I5, rnd7, -1, I8) [rnd7 = -1]
  2) f11#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f10#(I9, 1, 1, I12, I13, I14, I15, I16, I17) [I17 <= I14]
  3) f11#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f4#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I23 <= I26]
  4) f10#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f14#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 
  5) f14#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f13#(I36, I37, I38, I39, I40, I41, I42, I43, I44) [I37 <= I41]
  6) f14#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f7#(I45, I46, I47, I48, I49, I50, I51, I52, I53) [1 + I50 <= I46]
  7) f13#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f7#(I54, I55, I56, I57, I58, I59, I60, I61, I62) [1 + I58 - I62 <= I55]
  8) f13#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f12#(I63, I64, I65, I66, I67, I68, I69, I70, I71) [I64 <= I67 - I71]
  9) f12#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f9#(I72, I73, I74, I75, I76, I77, I78, I79, I80) 
  10) f12#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f9#(I81, I82, 0, rnd4, I85, I86, I87, I88, I89) [rnd4 = rnd4]
  11) f2#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f11#(I90, I91, I92, I93, I94, I95, I96, I97, I98) 
  12) f9#(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f10#(I99, 1 + I100, I101, I102, I103, I104, I105, I106, I107) 
  13) f8#(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f6#(I108, I109, I110, I111, I112, I113, I114, I115, I116) [1 + I110 <= 0]
  14) f8#(I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f6#(I117, I118, I119, I120, I121, I122, I123, I124, I125) [1 <= I119]
  15) f8#(I126, I127, I128, I129, I130, I131, I132, I133, I134) -> f2#(I126, I127, I128, I129, I130, I131, I132, I133, 1 + I134) [0 <= I128 /\ I128 <= 0]
  16) f7#(I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f8#(I135, I136, I137, I138, I139, I140, I141, I142, I143) 
  17) f6#(I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f4#(I144, I145, I146, I147, I148, I149, I150, I151, I152) 
  18) f3#(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f1#(I162, I163, I164, I165, I166, I167, I168, I169, I170) 
  19) f1#(I171, I172, I173, I174, I175, I176, I177, I178, I179) -> f3#(1 + I171, I172, I173, I174, I175, I176, I177, I178, I179) [I171 <= I175]
  20) f1#(I180, I181, I182, I183, I184, I185, I186, I187, I188) -> f2#(I180, I181, 0, I183, I184, I185, I186, I187, 1) [1 + I184 <= I180]
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