Integer Transition Systems pair #487526439

details
property	value
status	complete
benchmark	bakery.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)	152.396017075 seconds
cpu usage	163.141830831
max memory	3.3824768E7
stage attributes
key	value
output-size	12044
starexec-result	MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_Transition /export/starexec/sandbox/benchmark/theBenchmark.smt2 /export/starexec/sandbox/output/output_files


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MAYBE

DP problem for innermost termination.
P =
  f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 
  f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f5#(0, I1, rnd3, I3, rnd5, 1, I6, 0, 0, I9, rnd11, I11, rnd13) [rnd5 <= rnd3 /\ rnd3 = rnd3 /\ 1 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= rnd11 /\ rnd11 = rnd11 /\ 1 <= rnd13 /\ rnd13 = rnd13]
  f5#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2#(0, I14, 1 + I15, I16, I17, 1, I19, I20, I21, I22, I23, 1 + I15, I25) 
  f2#(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f5#(1, I27, I28, I29, I30, I31, I32, 0, 0, I35, I36, I37, I38) [1 + I37 <= I30]
  f2#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f5#(1, I40, I41, I42, I43, I44, I45, 0, 0, I48, I49, I50, I51) [I51 <= I49]
  f2#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f4#(I52, I53, I54, I55, I56, I57, I58, I59, I60, rnd10, I62, I63, I64) [rnd10 = rnd10 /\ 1 + I62 <= I64 /\ I56 <= I63]
  f4#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3#(I65, rnd2, I78, I68, I69, I70, I71, I72, I73, I79, I75, I76, I77) [I79 = I79 /\ I78 = rnd2 + I67 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 2 <= I74]
  f4#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92) -> f3#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I93, I90, I91, I92) [I93 = I93 /\ I89 <= 1]
  f3#(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f2#(I94, I107, I96, I96 - I98, I108, I99, -1 * I98 + I105, I101, 1, I109, I110, I105, I106) [I109 = I109 /\ 1 <= I110 /\ I110 = I110 /\ I108 = I107 + I98 /\ I107 <= -1 * I98 + I105 /\ I107 <= I96 - I98 /\ I105 <= I107 /\ I107 = I107 /\ 2 <= I103]
  f3#(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123) -> f1#(I111, I112, I113, I114, I115, I116, I117, 1, I119, I124, I121, I122, I123) [I124 = I124 /\ I120 <= 1]
  f1#(I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f2#(I125, I138, I127, I128, I129, I130, I131, I132, I133, I139, I140, I136, I137) [I139 = I139 /\ I140 = I138 + I135 /\ 1 <= I138 /\ I138 = I138 /\ 2 <= I134]
  f1#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f2#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I154, I151, I152, I153) [I154 = I154 /\ I150 <= 1]
R = 
  f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 
  f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f5(0, I1, rnd3, I3, rnd5, 1, I6, 0, 0, I9, rnd11, I11, rnd13) [rnd5 <= rnd3 /\ rnd3 = rnd3 /\ 1 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= rnd11 /\ rnd11 = rnd11 /\ 1 <= rnd13 /\ rnd13 = rnd13]
  f5(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2(0, I14, 1 + I15, I16, I17, 1, I19, I20, I21, I22, I23, 1 + I15, I25) 
  f2(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f5(1, I27, I28, I29, I30, I31, I32, 0, 0, I35, I36, I37, I38) [1 + I37 <= I30]
  f2(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f5(1, I40, I41, I42, I43, I44, I45, 0, 0, I48, I49, I50, I51) [I51 <= I49]
  f2(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f4(I52, I53, I54, I55, I56, I57, I58, I59, I60, rnd10, I62, I63, I64) [rnd10 = rnd10 /\ 1 + I62 <= I64 /\ I56 <= I63]
  f4(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3(I65, rnd2, I78, I68, I69, I70, I71, I72, I73, I79, I75, I76, I77) [I79 = I79 /\ I78 = rnd2 + I67 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 2 <= I74]
  f4(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92) -> f3(I80, I81, I82, I83, I84, I85, I86, I87, I88, I93, I90, I91, I92) [I93 = I93 /\ I89 <= 1]
  f3(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f2(I94, I107, I96, I96 - I98, I108, I99, -1 * I98 + I105, I101, 1, I109, I110, I105, I106) [I109 = I109 /\ 1 <= I110 /\ I110 = I110 /\ I108 = I107 + I98 /\ I107 <= -1 * I98 + I105 /\ I107 <= I96 - I98 /\ I105 <= I107 /\ I107 = I107 /\ 2 <= I103]
  f3(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123) -> f1(I111, I112, I113, I114, I115, I116, I117, 1, I119, I124, I121, I122, I123) [I124 = I124 /\ I120 <= 1]
  f1(I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f2(I125, I138, I127, I128, I129, I130, I131, I132, I133, I139, I140, I136, I137) [I139 = I139 /\ I140 = I138 + I135 /\ 1 <= I138 /\ I138 = I138 /\ 2 <= I134]
  f1(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f2(I141, I142, I143, I144, I145, I146, I147, I148, I149, I154, I151, I152, I153) [I154 = I154 /\ I150 <= 1]

The dependency graph for this problem is:
  0 -> 1
  1 -> 2
  2 -> 3, 4, 5
  3 -> 2
  4 -> 2
  5 -> 6, 7
  6 -> 8, 9
  7 -> 8, 9
  8 -> 4, 5
  9 -> 10, 11
  10 -> 3, 4, 5
  11 -> 3, 4, 5
Where:
  0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 
  1) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f5#(0, I1, rnd3, I3, rnd5, 1, I6, 0, 0, I9, rnd11, I11, rnd13) [rnd5 <= rnd3 /\ rnd3 = rnd3 /\ 1 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= rnd11 /\ rnd11 = rnd11 /\ 1 <= rnd13 /\ rnd13 = rnd13]
  2) f5#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2#(0, I14, 1 + I15, I16, I17, 1, I19, I20, I21, I22, I23, 1 + I15, I25) 
  3) f2#(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f5#(1, I27, I28, I29, I30, I31, I32, 0, 0, I35, I36, I37, I38) [1 + I37 <= I30]
  4) f2#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f5#(1, I40, I41, I42, I43, I44, I45, 0, 0, I48, I49, I50, I51) [I51 <= I49]
  5) f2#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f4#(I52, I53, I54, I55, I56, I57, I58, I59, I60, rnd10, I62, I63, I64) [rnd10 = rnd10 /\ 1 + I62 <= I64 /\ I56 <= I63]
  6) f4#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3#(I65, rnd2, I78, I68, I69, I70, I71, I72, I73, I79, I75, I76, I77) [I79 = I79 /\ I78 = rnd2 + I67 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 2 <= I74]
  7) f4#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92) -> f3#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I93, I90, I91, I92) [I93 = I93 /\ I89 <= 1]
  8) f3#(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f2#(I94, I107, I96, I96 - I98, I108, I99, -1 * I98 + I105, I101, 1, I109, I110, I105, I106) [I109 = I109 /\ 1 <= I110 /\ I110 = I110 /\ I108 = I107 + I98 /\ I107 <= -1 * I98 + I105 /\ I107 <= I96 - I98 /\ I105 <= I107 /\ I107 = I107 /\ 2 <= I103]
  9) f3#(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123) -> f1#(I111, I112, I113, I114, I115, I116, I117, 1, I119, I124, I121, I122, I123) [I124 = I124 /\ I120 <= 1]
  10) f1#(I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f2#(I125, I138, I127, I128, I129, I130, I131, I132, I133, I139, I140, I136, I137) [I139 = I139 /\ I140 = I138 + I135 /\ 1 <= I138 /\ I138 = I138 /\ 2 <= I134]
  11) f1#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f2#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I154, I151, I152, I153) [I154 = I154 /\ I150 <= 1]

We have the following SCCs.
  { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 }

DP problem for innermost termination.
P =
  f5#(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2#(0, I14, 1 + I15, I16, I17, 1, I19, I20, I21, I22, I23, 1 + I15, I25) 
  f2#(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f5#(1, I27, I28, I29, I30, I31, I32, 0, 0, I35, I36, I37, I38) [1 + I37 <= I30]
  f2#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f5#(1, I40, I41, I42, I43, I44, I45, 0, 0, I48, I49, I50, I51) [I51 <= I49]
  f2#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f4#(I52, I53, I54, I55, I56, I57, I58, I59, I60, rnd10, I62, I63, I64) [rnd10 = rnd10 /\ 1 + I62 <= I64 /\ I56 <= I63]
  f4#(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3#(I65, rnd2, I78, I68, I69, I70, I71, I72, I73, I79, I75, I76, I77) [I79 = I79 /\ I78 = rnd2 + I67 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 2 <= I74]
  f4#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92) -> f3#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I93, I90, I91, I92) [I93 = I93 /\ I89 <= 1]
  f3#(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f2#(I94, I107, I96, I96 - I98, I108, I99, -1 * I98 + I105, I101, 1, I109, I110, I105, I106) [I109 = I109 /\ 1 <= I110 /\ I110 = I110 /\ I108 = I107 + I98 /\ I107 <= -1 * I98 + I105 /\ I107 <= I96 - I98 /\ I105 <= I107 /\ I107 = I107 /\ 2 <= I103]
  f3#(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123) -> f1#(I111, I112, I113, I114, I115, I116, I117, 1, I119, I124, I121, I122, I123) [I124 = I124 /\ I120 <= 1]
  f1#(I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f2#(I125, I138, I127, I128, I129, I130, I131, I132, I133, I139, I140, I136, I137) [I139 = I139 /\ I140 = I138 + I135 /\ 1 <= I138 /\ I138 = I138 /\ 2 <= I134]
  f1#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f2#(I141, I142, I143, I144, I145, I146, I147, I148, I149, I154, I151, I152, I153) [I154 = I154 /\ I150 <= 1]
R = 
  f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) 
  f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12) -> f5(0, I1, rnd3, I3, rnd5, 1, I6, 0, 0, I9, rnd11, I11, rnd13) [rnd5 <= rnd3 /\ rnd3 = rnd3 /\ 1 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= rnd11 /\ rnd11 = rnd11 /\ 1 <= rnd13 /\ rnd13 = rnd13]
  f5(I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f2(0, I14, 1 + I15, I16, I17, 1, I19, I20, I21, I22, I23, 1 + I15, I25) 
  f2(I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38) -> f5(1, I27, I28, I29, I30, I31, I32, 0, 0, I35, I36, I37, I38) [1 + I37 <= I30]
  f2(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51) -> f5(1, I40, I41, I42, I43, I44, I45, 0, 0, I48, I49, I50, I51) [I51 <= I49]
  f2(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f4(I52, I53, I54, I55, I56, I57, I58, I59, I60, rnd10, I62, I63, I64) [rnd10 = rnd10 /\ 1 + I62 <= I64 /\ I56 <= I63]
  f4(I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3(I65, rnd2, I78, I68, I69, I70, I71, I72, I73, I79, I75, I76, I77) [I79 = I79 /\ I78 = rnd2 + I67 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 2 <= I74]
  f4(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92) -> f3(I80, I81, I82, I83, I84, I85, I86, I87, I88, I93, I90, I91, I92) [I93 = I93 /\ I89 <= 1]
  f3(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f2(I94, I107, I96, I96 - I98, I108, I99, -1 * I98 + I105, I101, 1, I109, I110, I105, I106) [I109 = I109 /\ 1 <= I110 /\ I110 = I110 /\ I108 = I107 + I98 /\ I107 <= -1 * I98 + I105 /\ I107 <= I96 - I98 /\ I105 <= I107 /\ I107 = I107 /\ 2 <= I103]
  f3(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123) -> f1(I111, I112, I113, I114, I115, I116, I117, 1, I119, I124, I121, I122, I123) [I124 = I124 /\ I120 <= 1]
  f1(I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f2(I125, I138, I127, I128, I129, I130, I131, I132, I133, I139, I140, I136, I137) [I139 = I139 /\ I140 = I138 + I135 /\ 1 <= I138 /\ I138 = I138 /\ 2 <= I134]
  f1(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f2(I141, I142, I143, I144, I145, I146, I147, I148, I149, I154, I151, I152, I153) [I154 = I154 /\ I150 <= 1]
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