details

property	value
status	complete
benchmark	nested2.t2.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	From_T2

run statistics

property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	25.0978 seconds
cpu usage	25.121
user time	13.1932
system time	11.9279
max virtual memory	723432.0
max residence set size	13868.0

stage attributes

key	value
starexec-result	YES

output

YES DP problem for innermost termination. P = f6#(x1, x2, x3, x4, x5, x6, x7) -> f1#(x1, x2, x3, x4, x5, x6, x7) f5#(I0, I1, I2, I3, I4, I5, I6) -> f3#(I0, I1, I2, I3, I4, I5, I6) f3#(I7, I8, I9, I10, I11, I12, I13) -> f5#(I7, -1 + I8, I9, rnd4, -1 + I11, I12, rnd7) [1 <= rnd7 /\ -1 + rnd7 <= -1 + I11 /\ -1 + I11 <= -1 + rnd7 /\ -1 + rnd4 <= -1 + I8 /\ -1 + I8 <= -1 + rnd4 /\ 1 <= I11 /\ rnd7 = rnd7 /\ rnd4 = rnd4] f3#(I14, I15, I16, I17, I18, I19, I20) -> f2#(I14, I15, I16, I17, I18, I19, I20) [I18 <= 0 /\ I18 <= 0] f4#(I21, I22, I23, I24, I25, I26, I27) -> f3#(I21, -1 + I22, rnd3, I24, -1 + I25, rnd6, I27) [1 <= rnd6 /\ 1 <= rnd3 /\ -1 + rnd6 <= -1 + I25 /\ -1 + I25 <= -1 + rnd6 /\ -1 + rnd3 <= -1 + I22 /\ -1 + I22 <= -1 + rnd3 /\ 1 <= I25 /\ rnd6 = rnd6 /\ rnd3 = rnd3] f2#(I28, I29, I30, I31, I32, I33, I34) -> f3#(I28, I29, I30, I31, I28, I33, I34) [1 <= I29 /\ 1 <= I28 /\ 1 <= I29] f1#(I35, I36, I37, I38, I39, I40, I41) -> f2#(I35, rnd2, I37, I38, rnd5, I40, I41) [rnd5 = rnd5 /\ rnd2 = rnd2] R = f6(x1, x2, x3, x4, x5, x6, x7) -> f1(x1, x2, x3, x4, x5, x6, x7) f5(I0, I1, I2, I3, I4, I5, I6) -> f3(I0, I1, I2, I3, I4, I5, I6) f3(I7, I8, I9, I10, I11, I12, I13) -> f5(I7, -1 + I8, I9, rnd4, -1 + I11, I12, rnd7) [1 <= rnd7 /\ -1 + rnd7 <= -1 + I11 /\ -1 + I11 <= -1 + rnd7 /\ -1 + rnd4 <= -1 + I8 /\ -1 + I8 <= -1 + rnd4 /\ 1 <= I11 /\ rnd7 = rnd7 /\ rnd4 = rnd4] f3(I14, I15, I16, I17, I18, I19, I20) -> f2(I14, I15, I16, I17, I18, I19, I20) [I18 <= 0 /\ I18 <= 0] f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, -1 + I22, rnd3, I24, -1 + I25, rnd6, I27) [1 <= rnd6 /\ 1 <= rnd3 /\ -1 + rnd6 <= -1 + I25 /\ -1 + I25 <= -1 + rnd6 /\ -1 + rnd3 <= -1 + I22 /\ -1 + I22 <= -1 + rnd3 /\ 1 <= I25 /\ rnd6 = rnd6 /\ rnd3 = rnd3] f2(I28, I29, I30, I31, I32, I33, I34) -> f3(I28, I29, I30, I31, I28, I33, I34) [1 <= I29 /\ 1 <= I28 /\ 1 <= I29] f1(I35, I36, I37, I38, I39, I40, I41) -> f2(I35, rnd2, I37, I38, rnd5, I40, I41) [rnd5 = rnd5 /\ rnd2 = rnd2] The dependency graph for this problem is: 0 -> 6 1 -> 2, 3 2 -> 1 3 -> 5 4 -> 2, 3 5 -> 2 6 -> 5 Where: 0) f6#(x1, x2, x3, x4, x5, x6, x7) -> f1#(x1, x2, x3, x4, x5, x6, x7) 1) f5#(I0, I1, I2, I3, I4, I5, I6) -> f3#(I0, I1, I2, I3, I4, I5, I6) 2) f3#(I7, I8, I9, I10, I11, I12, I13) -> f5#(I7, -1 + I8, I9, rnd4, -1 + I11, I12, rnd7) [1 <= rnd7 /\ -1 + rnd7 <= -1 + I11 /\ -1 + I11 <= -1 + rnd7 /\ -1 + rnd4 <= -1 + I8 /\ -1 + I8 <= -1 + rnd4 /\ 1 <= I11 /\ rnd7 = rnd7 /\ rnd4 = rnd4] 3) f3#(I14, I15, I16, I17, I18, I19, I20) -> f2#(I14, I15, I16, I17, I18, I19, I20) [I18 <= 0 /\ I18 <= 0] 4) f4#(I21, I22, I23, I24, I25, I26, I27) -> f3#(I21, -1 + I22, rnd3, I24, -1 + I25, rnd6, I27) [1 <= rnd6 /\ 1 <= rnd3 /\ -1 + rnd6 <= -1 + I25 /\ -1 + I25 <= -1 + rnd6 /\ -1 + rnd3 <= -1 + I22 /\ -1 + I22 <= -1 + rnd3 /\ 1 <= I25 /\ rnd6 = rnd6 /\ rnd3 = rnd3] 5) f2#(I28, I29, I30, I31, I32, I33, I34) -> f3#(I28, I29, I30, I31, I28, I33, I34) [1 <= I29 /\ 1 <= I28 /\ 1 <= I29] 6) f1#(I35, I36, I37, I38, I39, I40, I41) -> f2#(I35, rnd2, I37, I38, rnd5, I40, I41) [rnd5 = rnd5 /\ rnd2 = rnd2] We have the following SCCs. { 1, 2, 3, 5 } DP problem for innermost termination. P = f5#(I0, I1, I2, I3, I4, I5, I6) -> f3#(I0, I1, I2, I3, I4, I5, I6) f3#(I7, I8, I9, I10, I11, I12, I13) -> f5#(I7, -1 + I8, I9, rnd4, -1 + I11, I12, rnd7) [1 <= rnd7 /\ -1 + rnd7 <= -1 + I11 /\ -1 + I11 <= -1 + rnd7 /\ -1 + rnd4 <= -1 + I8 /\ -1 + I8 <= -1 + rnd4 /\ 1 <= I11 /\ rnd7 = rnd7 /\ rnd4 = rnd4] f3#(I14, I15, I16, I17, I18, I19, I20) -> f2#(I14, I15, I16, I17, I18, I19, I20) [I18 <= 0 /\ I18 <= 0] f2#(I28, I29, I30, I31, I32, I33, I34) -> f3#(I28, I29, I30, I31, I28, I33, I34) [1 <= I29 /\ 1 <= I28 /\ 1 <= I29] R = f6(x1, x2, x3, x4, x5, x6, x7) -> f1(x1, x2, x3, x4, x5, x6, x7) f5(I0, I1, I2, I3, I4, I5, I6) -> f3(I0, I1, I2, I3, I4, I5, I6) f3(I7, I8, I9, I10, I11, I12, I13) -> f5(I7, -1 + I8, I9, rnd4, -1 + I11, I12, rnd7) [1 <= rnd7 /\ -1 + rnd7 <= -1 + I11 /\ -1 + I11 <= -1 + rnd7 /\ -1 + rnd4 <= -1 + I8 /\ -1 + I8 <= -1 + rnd4 /\ 1 <= I11 /\ rnd7 = rnd7 /\ rnd4 = rnd4] f3(I14, I15, I16, I17, I18, I19, I20) -> f2(I14, I15, I16, I17, I18, I19, I20) [I18 <= 0 /\ I18 <= 0] f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, -1 + I22, rnd3, I24, -1 + I25, rnd6, I27) [1 <= rnd6 /\ 1 <= rnd3 /\ -1 + rnd6 <= -1 + I25 /\ -1 + I25 <= -1 + rnd6 /\ -1 + rnd3 <= -1 + I22 /\ -1 + I22 <= -1 + rnd3 /\ 1 <= I25 /\ rnd6 = rnd6 /\ rnd3 = rnd3] f2(I28, I29, I30, I31, I32, I33, I34) -> f3(I28, I29, I30, I31, I28, I33, I34) [1 <= I29 /\ 1 <= I28 /\ 1 <= I29] f1(I35, I36, I37, I38, I39, I40, I41) -> f2(I35, rnd2, I37, I38, rnd5, I40, I41) [rnd5 = rnd5 /\ rnd2 = rnd2] We use the extended value criterion with the projection function NU: NU[f2#(x0,x1,x2,x3,x4,x5,x6)] = x1 - 1 NU[f3#(x0,x1,x2,x3,x4,x5,x6)] = x1 - x4 - 1 NU[f5#(x0,x1,x2,x3,x4,x5,x6)] = x1 - x4 - 1 This gives the following inequalities: ==> I1 - I4 - 1 >= I1 - I4 - 1 1 <= rnd7 /\ -1 + rnd7 <= -1 + I11 /\ -1 + I11 <= -1 + rnd7 /\ -1 + rnd4 <= -1 + I8 /\ -1 + I8 <= -1 + rnd4 /\ 1 <= I11 /\ rnd7 = rnd7 /\ rnd4 = rnd4 ==> I8 - I11 - 1 >= (-1 + I8) - (-1 + I11) - 1 I18 <= 0 /\ I18 <= 0 ==> I15 - I18 - 1 >= I15 - 1 1 <= I29 /\ 1 <= I28 /\ 1 <= I29 ==> I29 - 1 > I29 - I28 - 1 with I29 - 1 >= 0 We remove all the strictly oriented dependency pairs. DP problem for innermost termination. P = f5#(I0, I1, I2, I3, I4, I5, I6) -> f3#(I0, I1, I2, I3, I4, I5, I6) f3#(I7, I8, I9, I10, I11, I12, I13) -> f5#(I7, -1 + I8, I9, rnd4, -1 + I11, I12, rnd7) [1 <= rnd7 /\ -1 + rnd7 <= -1 + I11 /\ -1 + I11 <= -1 + rnd7 /\ -1 + rnd4 <= -1 + I8 /\ -1 + I8 <= -1 + rnd4 /\ 1 <= I11 /\ rnd7 = rnd7 /\ rnd4 = rnd4] f3#(I14, I15, I16, I17, I18, I19, I20) -> f2#(I14, I15, I16, I17, I18, I19, I20) [I18 <= 0 /\ I18 <= 0] R = f6(x1, x2, x3, x4, x5, x6, x7) -> f1(x1, x2, x3, x4, x5, x6, x7) f5(I0, I1, I2, I3, I4, I5, I6) -> f3(I0, I1, I2, I3, I4, I5, I6) f3(I7, I8, I9, I10, I11, I12, I13) -> f5(I7, -1 + I8, I9, rnd4, -1 + I11, I12, rnd7) [1 <= rnd7 /\ -1 + rnd7 <= -1 + I11 /\ -1 + I11 <= -1 + rnd7 /\ -1 + rnd4 <= -1 + I8 /\ -1 + I8 <= -1 + rnd4 /\ 1 <= I11 /\ rnd7 = rnd7 /\ rnd4 = rnd4] f3(I14, I15, I16, I17, I18, I19, I20) -> f2(I14, I15, I16, I17, I18, I19, I20) [I18 <= 0 /\ I18 <= 0] f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, -1 + I22, rnd3, I24, -1 + I25, rnd6, I27) [1 <= rnd6 /\ 1 <= rnd3 /\ -1 + rnd6 <= -1 + I25 /\ -1 + I25 <= -1 + rnd6 /\ -1 + rnd3 <= -1 + I22 /\ -1 + I22 <= -1 + rnd3 /\ 1 <= I25 /\ rnd6 = rnd6 /\ rnd3 = rnd3] f2(I28, I29, I30, I31, I32, I33, I34) -> f3(I28, I29, I30, I31, I28, I33, I34) [1 <= I29 /\ 1 <= I28 /\ 1 <= I29] f1(I35, I36, I37, I38, I39, I40, I41) -> f2(I35, rnd2, I37, I38, rnd5, I40, I41) [rnd5 = rnd5 /\ rnd2 = rnd2] The dependency graph for this problem is: 1 -> 2, 3 2 -> 1 3 -> Where: 1) f5#(I0, I1, I2, I3, I4, I5, I6) -> f3#(I0, I1, I2, I3, I4, I5, I6) 2) f3#(I7, I8, I9, I10, I11, I12, I13) -> f5#(I7, -1 + I8, I9, rnd4, -1 + I11, I12, rnd7) [1 <= rnd7 /\ -1 + rnd7 <= -1 + I11 /\ -1 + I11 <= -1 + rnd7 /\ -1 + rnd4 <= -1 + I8 /\ -1 + I8 <= -1 + rnd4 /\ 1 <= I11 /\ rnd7 = rnd7 /\ rnd4 = rnd4] 3) f3#(I14, I15, I16, I17, I18, I19, I20) -> f2#(I14, I15, I16, I17, I18, I19, I20) [I18 <= 0 /\ I18 <= 0] We have the following SCCs. { 1, 2 } DP problem for innermost termination. P = f5#(I0, I1, I2, I3, I4, I5, I6) -> f3#(I0, I1, I2, I3, I4, I5, I6) f3#(I7, I8, I9, I10, I11, I12, I13) -> f5#(I7, -1 + I8, I9, rnd4, -1 + I11, I12, rnd7) [1 <= rnd7 /\ -1 + rnd7 <= -1 + I11 /\ -1 + I11 <= -1 + rnd7 /\ -1 + rnd4 <= -1 + I8 /\ -1 + I8 <= -1 + rnd4 /\ 1 <= I11 /\ rnd7 = rnd7 /\ rnd4 = rnd4] R = f6(x1, x2, x3, x4, x5, x6, x7) -> f1(x1, x2, x3, x4, x5, x6, x7) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to ITS