details

property	value
status	complete
benchmark	DivMinus2.jar-obl-8.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	From_AProVE_2014

run statistics

property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	7.06486 seconds
cpu usage	7.17759
user time	3.8539
system time	3.32369
max virtual memory	684692.0
max residence set size	8696.0

stage attributes

key	value
starexec-result	YES

output

YES DP problem for innermost termination. P = init#(x1, x2, x3, x4, x5) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5) f3#(I0, I1, I2, I3, I4) -> f2#(I1 + 1, I2, I0, I5, I6) [0 = I4 /\ 0 = I3 /\ -1 <= I1 - 1] f3#(I7, I8, I9, I10, I11) -> f3#(I7, I8, I9 - 1, I10 - 1, I10 - 1) [I10 = I11 /\ 0 <= I10 - 1] f3#(I12, I13, I14, I15, I16) -> f3#(I12, I13, I14 + 1, I15 + 1, I15 + 1) [I15 = I16 /\ I15 <= 0 /\ 0 <= I15 - 1] f3#(I17, I18, I19, I20, I21) -> f3#(I17, I18, I19 + 1, I20 + 1, I20 + 1) [I20 = I21 /\ I20 <= 0 /\ I20 <= -1] f2#(I22, I23, I24, I25, I26) -> f3#(I24, I22, I23, I24, I24) [0 <= I24 - 1 /\ I24 <= I23] f1#(I27, I28, I29, I30, I31) -> f2#(0, I32, I33, I34, I35) [0 <= I27 - 1 /\ -1 <= I32 - 1 /\ -1 <= I28 - 1 /\ -1 <= I33 - 1] R = init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) f3(I0, I1, I2, I3, I4) -> f2(I1 + 1, I2, I0, I5, I6) [0 = I4 /\ 0 = I3 /\ -1 <= I1 - 1] f3(I7, I8, I9, I10, I11) -> f3(I7, I8, I9 - 1, I10 - 1, I10 - 1) [I10 = I11 /\ 0 <= I10 - 1] f3(I12, I13, I14, I15, I16) -> f3(I12, I13, I14 + 1, I15 + 1, I15 + 1) [I15 = I16 /\ I15 <= 0 /\ 0 <= I15 - 1] f3(I17, I18, I19, I20, I21) -> f3(I17, I18, I19 + 1, I20 + 1, I20 + 1) [I20 = I21 /\ I20 <= 0 /\ I20 <= -1] f2(I22, I23, I24, I25, I26) -> f3(I24, I22, I23, I24, I24) [0 <= I24 - 1 /\ I24 <= I23] f1(I27, I28, I29, I30, I31) -> f2(0, I32, I33, I34, I35) [0 <= I27 - 1 /\ -1 <= I32 - 1 /\ -1 <= I28 - 1 /\ -1 <= I33 - 1] The dependency graph for this problem is: 0 -> 6 1 -> 5 2 -> 1, 2 3 -> 4 -> 1, 4 5 -> 2 6 -> 5 Where: 0) init#(x1, x2, x3, x4, x5) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5) 1) f3#(I0, I1, I2, I3, I4) -> f2#(I1 + 1, I2, I0, I5, I6) [0 = I4 /\ 0 = I3 /\ -1 <= I1 - 1] 2) f3#(I7, I8, I9, I10, I11) -> f3#(I7, I8, I9 - 1, I10 - 1, I10 - 1) [I10 = I11 /\ 0 <= I10 - 1] 3) f3#(I12, I13, I14, I15, I16) -> f3#(I12, I13, I14 + 1, I15 + 1, I15 + 1) [I15 = I16 /\ I15 <= 0 /\ 0 <= I15 - 1] 4) f3#(I17, I18, I19, I20, I21) -> f3#(I17, I18, I19 + 1, I20 + 1, I20 + 1) [I20 = I21 /\ I20 <= 0 /\ I20 <= -1] 5) f2#(I22, I23, I24, I25, I26) -> f3#(I24, I22, I23, I24, I24) [0 <= I24 - 1 /\ I24 <= I23] 6) f1#(I27, I28, I29, I30, I31) -> f2#(0, I32, I33, I34, I35) [0 <= I27 - 1 /\ -1 <= I32 - 1 /\ -1 <= I28 - 1 /\ -1 <= I33 - 1] We have the following SCCs. { 4 } { 1, 2, 5 } DP problem for innermost termination. P = f3#(I0, I1, I2, I3, I4) -> f2#(I1 + 1, I2, I0, I5, I6) [0 = I4 /\ 0 = I3 /\ -1 <= I1 - 1] f3#(I7, I8, I9, I10, I11) -> f3#(I7, I8, I9 - 1, I10 - 1, I10 - 1) [I10 = I11 /\ 0 <= I10 - 1] f2#(I22, I23, I24, I25, I26) -> f3#(I24, I22, I23, I24, I24) [0 <= I24 - 1 /\ I24 <= I23] R = init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) f3(I0, I1, I2, I3, I4) -> f2(I1 + 1, I2, I0, I5, I6) [0 = I4 /\ 0 = I3 /\ -1 <= I1 - 1] f3(I7, I8, I9, I10, I11) -> f3(I7, I8, I9 - 1, I10 - 1, I10 - 1) [I10 = I11 /\ 0 <= I10 - 1] f3(I12, I13, I14, I15, I16) -> f3(I12, I13, I14 + 1, I15 + 1, I15 + 1) [I15 = I16 /\ I15 <= 0 /\ 0 <= I15 - 1] f3(I17, I18, I19, I20, I21) -> f3(I17, I18, I19 + 1, I20 + 1, I20 + 1) [I20 = I21 /\ I20 <= 0 /\ I20 <= -1] f2(I22, I23, I24, I25, I26) -> f3(I24, I22, I23, I24, I24) [0 <= I24 - 1 /\ I24 <= I23] f1(I27, I28, I29, I30, I31) -> f2(0, I32, I33, I34, I35) [0 <= I27 - 1 /\ -1 <= I32 - 1 /\ -1 <= I28 - 1 /\ -1 <= I33 - 1] We use the extended value criterion with the projection function NU: NU[f2#(x0,x1,x2,x3,x4)] = x1 - x2 NU[f3#(x0,x1,x2,x3,x4)] = -x0 + x2 - x3 This gives the following inequalities: 0 = I4 /\ 0 = I3 /\ -1 <= I1 - 1 ==> -I0 + I2 - I3 >= I2 - I0 I10 = I11 /\ 0 <= I10 - 1 ==> -I7 + I9 - I10 >= -I7 + (I9 - 1) - (I10 - 1) 0 <= I24 - 1 /\ I24 <= I23 ==> I23 - I24 > -I24 + I23 - I24 with I23 - I24 >= 0 We remove all the strictly oriented dependency pairs. DP problem for innermost termination. P = f3#(I0, I1, I2, I3, I4) -> f2#(I1 + 1, I2, I0, I5, I6) [0 = I4 /\ 0 = I3 /\ -1 <= I1 - 1] f3#(I7, I8, I9, I10, I11) -> f3#(I7, I8, I9 - 1, I10 - 1, I10 - 1) [I10 = I11 /\ 0 <= I10 - 1] R = init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) f3(I0, I1, I2, I3, I4) -> f2(I1 + 1, I2, I0, I5, I6) [0 = I4 /\ 0 = I3 /\ -1 <= I1 - 1] f3(I7, I8, I9, I10, I11) -> f3(I7, I8, I9 - 1, I10 - 1, I10 - 1) [I10 = I11 /\ 0 <= I10 - 1] f3(I12, I13, I14, I15, I16) -> f3(I12, I13, I14 + 1, I15 + 1, I15 + 1) [I15 = I16 /\ I15 <= 0 /\ 0 <= I15 - 1] f3(I17, I18, I19, I20, I21) -> f3(I17, I18, I19 + 1, I20 + 1, I20 + 1) [I20 = I21 /\ I20 <= 0 /\ I20 <= -1] f2(I22, I23, I24, I25, I26) -> f3(I24, I22, I23, I24, I24) [0 <= I24 - 1 /\ I24 <= I23] f1(I27, I28, I29, I30, I31) -> f2(0, I32, I33, I34, I35) [0 <= I27 - 1 /\ -1 <= I32 - 1 /\ -1 <= I28 - 1 /\ -1 <= I33 - 1] The dependency graph for this problem is: 1 -> 2 -> 1, 2 Where: 1) f3#(I0, I1, I2, I3, I4) -> f2#(I1 + 1, I2, I0, I5, I6) [0 = I4 /\ 0 = I3 /\ -1 <= I1 - 1] 2) f3#(I7, I8, I9, I10, I11) -> f3#(I7, I8, I9 - 1, I10 - 1, I10 - 1) [I10 = I11 /\ 0 <= I10 - 1] We have the following SCCs. { 2 } DP problem for innermost termination. P = f3#(I7, I8, I9, I10, I11) -> f3#(I7, I8, I9 - 1, I10 - 1, I10 - 1) [I10 = I11 /\ 0 <= I10 - 1] R = init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) f3(I0, I1, I2, I3, I4) -> f2(I1 + 1, I2, I0, I5, I6) [0 = I4 /\ 0 = I3 /\ -1 <= I1 - 1] f3(I7, I8, I9, I10, I11) -> f3(I7, I8, I9 - 1, I10 - 1, I10 - 1) [I10 = I11 /\ 0 <= I10 - 1] f3(I12, I13, I14, I15, I16) -> f3(I12, I13, I14 + 1, I15 + 1, I15 + 1) [I15 = I16 /\ I15 <= 0 /\ 0 <= I15 - 1] f3(I17, I18, I19, I20, I21) -> f3(I17, I18, I19 + 1, I20 + 1, I20 + 1) [I20 = I21 /\ I20 <= 0 /\ I20 <= -1] f2(I22, I23, I24, I25, I26) -> f3(I24, I22, I23, I24, I24) [0 <= I24 - 1 /\ I24 <= I23] f1(I27, I28, I29, I30, I31) -> f2(0, I32, I33, I34, I35) [0 <= I27 - 1 /\ -1 <= I32 - 1 /\ -1 <= I28 - 1 /\ -1 <= I33 - 1] popout

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