Integ Trans Syste 27634 pair #381739642

details
property	value
status	complete
benchmark	n-4.t2_fixed.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n050.star.cs.uiowa.edu
space	From_T2
run statistics
property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	76.0063581467 seconds
cpu usage	80.824571636
max memory	4.0542208E7
stage attributes
key	value
output-size	34249
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 =
  f15#(x1, x2, x3, x4, x5) -> f1#(x1, x2, x3, x4, x5) 
  f14#(I0, I1, I2, I3, I4) -> f3#(I0, I1, I2, 1 + I3, I4) 
  f13#(I5, I6, I7, I8, I9) -> f14#(I5, I6, I7, I8, I9) [1 <= I6]
  f13#(I10, I11, I12, I13, I14) -> f14#(I10, I11, I12, I13, I14) [1 + I11 <= 0]
  f4#(I15, I16, I17, I18, I19) -> f13#(I15, rnd2, I17, I18, I19) [rnd2 = rnd2 /\ 0 <= -1 - I18 + I19]
  f12#(I20, I21, I22, I23, I24) -> f4#(I20, I21, I22, I23, I24) 
  f4#(I25, I26, I27, I28, I29) -> f12#(I25, I30, I27, I28, I29) [0 <= I30 /\ I30 <= 0 /\ I30 = I30 /\ 0 <= -1 - I28 + I29]
  f8#(I31, I32, I33, I34, I35) -> f2#(I31, I32, 1 + I33, I34, I35) [-1 * I34 + I35 <= 0]
  f11#(I36, I37, I38, I39, I40) -> f3#(I36, I37, I38, 1 + I39, I40) 
  f10#(I41, I42, I43, I44, I45) -> f11#(I41, I42, I43, I44, I45) [1 <= I42]
  f10#(I46, I47, I48, I49, I50) -> f11#(I46, I47, I48, I49, I50) [1 + I47 <= 0]
  f8#(I51, I52, I53, I54, I55) -> f10#(I51, I56, I53, I54, I55) [I56 = I56 /\ 0 <= -1 - I54 + I55]
  f8#(I57, I58, I59, I60, I61) -> f4#(I57, I62, I59, I60, I61) [0 <= I62 /\ I62 <= 0 /\ I62 = I62 /\ 0 <= -1 - I60 + I61]
  f2#(I68, I69, I70, I71, I72) -> f8#(I68, I69, I70, I71, I72) [0 <= -1 - I70 + I71]
  f3#(I73, I74, I75, I76, I77) -> f2#(I73, I74, 1 + I75, I76, I77) [-1 * I76 + I77 <= 0]
  f7#(I78, I79, I80, I81, I82) -> f3#(I78, I79, I80, I81, I82) 
  f6#(I83, I84, I85, I86, I87) -> f7#(I83, I84, I85, 1 + I86, I87) 
  f5#(I88, I89, I90, I91, I92) -> f6#(I88, I89, I90, I91, I92) [1 <= I89]
  f5#(I93, I94, I95, I96, I97) -> f6#(I93, I94, I95, I96, I97) [1 + I94 <= 0]
  f3#(I98, I99, I100, I101, I102) -> f5#(I98, I103, I100, I101, I102) [I103 = I103 /\ 0 <= -1 - I101 + I102]
  f3#(I104, I105, I106, I107, I108) -> f4#(I104, I109, I106, I107, I108) [0 <= I109 /\ I109 <= 0 /\ I109 = I109 /\ 0 <= -1 - I107 + I108]
  f1#(I110, I111, I112, I113, I114) -> f2#(I110, I111, I112, I113, I114) 
R = 
  f15(x1, x2, x3, x4, x5) -> f1(x1, x2, x3, x4, x5) 
  f14(I0, I1, I2, I3, I4) -> f3(I0, I1, I2, 1 + I3, I4) 
  f13(I5, I6, I7, I8, I9) -> f14(I5, I6, I7, I8, I9) [1 <= I6]
  f13(I10, I11, I12, I13, I14) -> f14(I10, I11, I12, I13, I14) [1 + I11 <= 0]
  f4(I15, I16, I17, I18, I19) -> f13(I15, rnd2, I17, I18, I19) [rnd2 = rnd2 /\ 0 <= -1 - I18 + I19]
  f12(I20, I21, I22, I23, I24) -> f4(I20, I21, I22, I23, I24) 
  f4(I25, I26, I27, I28, I29) -> f12(I25, I30, I27, I28, I29) [0 <= I30 /\ I30 <= 0 /\ I30 = I30 /\ 0 <= -1 - I28 + I29]
  f8(I31, I32, I33, I34, I35) -> f2(I31, I32, 1 + I33, I34, I35) [-1 * I34 + I35 <= 0]
  f11(I36, I37, I38, I39, I40) -> f3(I36, I37, I38, 1 + I39, I40) 
  f10(I41, I42, I43, I44, I45) -> f11(I41, I42, I43, I44, I45) [1 <= I42]
  f10(I46, I47, I48, I49, I50) -> f11(I46, I47, I48, I49, I50) [1 + I47 <= 0]
  f8(I51, I52, I53, I54, I55) -> f10(I51, I56, I53, I54, I55) [I56 = I56 /\ 0 <= -1 - I54 + I55]
  f8(I57, I58, I59, I60, I61) -> f4(I57, I62, I59, I60, I61) [0 <= I62 /\ I62 <= 0 /\ I62 = I62 /\ 0 <= -1 - I60 + I61]
  f2(I63, I64, I65, I66, I67) -> f9(rnd1, I64, I65, I66, I67) [rnd1 = rnd1 /\ -1 * I65 + I66 <= 0]
  f2(I68, I69, I70, I71, I72) -> f8(I68, I69, I70, I71, I72) [0 <= -1 - I70 + I71]
  f3(I73, I74, I75, I76, I77) -> f2(I73, I74, 1 + I75, I76, I77) [-1 * I76 + I77 <= 0]
  f7(I78, I79, I80, I81, I82) -> f3(I78, I79, I80, I81, I82) 
  f6(I83, I84, I85, I86, I87) -> f7(I83, I84, I85, 1 + I86, I87) 
  f5(I88, I89, I90, I91, I92) -> f6(I88, I89, I90, I91, I92) [1 <= I89]
  f5(I93, I94, I95, I96, I97) -> f6(I93, I94, I95, I96, I97) [1 + I94 <= 0]
  f3(I98, I99, I100, I101, I102) -> f5(I98, I103, I100, I101, I102) [I103 = I103 /\ 0 <= -1 - I101 + I102]
  f3(I104, I105, I106, I107, I108) -> f4(I104, I109, I106, I107, I108) [0 <= I109 /\ I109 <= 0 /\ I109 = I109 /\ 0 <= -1 - I107 + I108]
  f1(I110, I111, I112, I113, I114) -> f2(I110, I111, I112, I113, I114) 

The dependency graph for this problem is:
  0 -> 21
  1 -> 14, 19, 20
  2 -> 1
  3 -> 1
  4 -> 2, 3
  5 -> 4, 6
  6 -> 5
  7 -> 13
  8 -> 14, 19, 20
  9 -> 8
  10 -> 8
  11 -> 9, 10
  12 -> 4, 6
  13 -> 7, 11, 12
  14 -> 13
  15 -> 14, 19, 20
  16 -> 15
  17 -> 16
  18 -> 16
  19 -> 17, 18
  20 -> 4, 6
  21 -> 13
Where:
  0) f15#(x1, x2, x3, x4, x5) -> f1#(x1, x2, x3, x4, x5) 
  1) f14#(I0, I1, I2, I3, I4) -> f3#(I0, I1, I2, 1 + I3, I4) 
  2) f13#(I5, I6, I7, I8, I9) -> f14#(I5, I6, I7, I8, I9) [1 <= I6]
  3) f13#(I10, I11, I12, I13, I14) -> f14#(I10, I11, I12, I13, I14) [1 + I11 <= 0]
  4) f4#(I15, I16, I17, I18, I19) -> f13#(I15, rnd2, I17, I18, I19) [rnd2 = rnd2 /\ 0 <= -1 - I18 + I19]
  5) f12#(I20, I21, I22, I23, I24) -> f4#(I20, I21, I22, I23, I24) 
  6) f4#(I25, I26, I27, I28, I29) -> f12#(I25, I30, I27, I28, I29) [0 <= I30 /\ I30 <= 0 /\ I30 = I30 /\ 0 <= -1 - I28 + I29]
  7) f8#(I31, I32, I33, I34, I35) -> f2#(I31, I32, 1 + I33, I34, I35) [-1 * I34 + I35 <= 0]
  8) f11#(I36, I37, I38, I39, I40) -> f3#(I36, I37, I38, 1 + I39, I40) 
  9) f10#(I41, I42, I43, I44, I45) -> f11#(I41, I42, I43, I44, I45) [1 <= I42]
  10) f10#(I46, I47, I48, I49, I50) -> f11#(I46, I47, I48, I49, I50) [1 + I47 <= 0]
  11) f8#(I51, I52, I53, I54, I55) -> f10#(I51, I56, I53, I54, I55) [I56 = I56 /\ 0 <= -1 - I54 + I55]
  12) f8#(I57, I58, I59, I60, I61) -> f4#(I57, I62, I59, I60, I61) [0 <= I62 /\ I62 <= 0 /\ I62 = I62 /\ 0 <= -1 - I60 + I61]
  13) f2#(I68, I69, I70, I71, I72) -> f8#(I68, I69, I70, I71, I72) [0 <= -1 - I70 + I71]
  14) f3#(I73, I74, I75, I76, I77) -> f2#(I73, I74, 1 + I75, I76, I77) [-1 * I76 + I77 <= 0]
  15) f7#(I78, I79, I80, I81, I82) -> f3#(I78, I79, I80, I81, I82) 
  16) f6#(I83, I84, I85, I86, I87) -> f7#(I83, I84, I85, 1 + I86, I87) 
  17) f5#(I88, I89, I90, I91, I92) -> f6#(I88, I89, I90, I91, I92) [1 <= I89]
  18) f5#(I93, I94, I95, I96, I97) -> f6#(I93, I94, I95, I96, I97) [1 + I94 <= 0]
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