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ITS pair #487098982
details
property
value
status
complete
benchmark
mc91test.t2_fixed.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
Ctrl
configuration
Transition
runtime (wallclock)
34.5603 seconds
cpu usage
35.1285
user time
19.5207
system time
15.6078
max virtual memory
706980.0
max residence set size
15432.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE DP problem for innermost termination. P = f8#(x1, x2, x3, x4, x5) -> f7#(x1, x2, x3, x4, x5) f7#(I0, I1, I2, I3, I4) -> f1#(0, 1, rnd3, I3, I4) [rnd3 = rnd3] f6#(I5, I6, I7, I8, I9) -> f1#(I5, I6, I7, I8, I9) f1#(I10, I11, I12, I13, I14) -> f6#(I10, -1 + I11, -10 + I12, I13, I14) [101 <= I12 /\ 1 <= I11] f5#(I15, I16, I17, I18, I19) -> f1#(I15, I16, I17, I18, I19) f1#(I20, I21, I22, I23, I24) -> f5#(I20, 1 + I21, 11 + I22, I23, I24) [I22 <= 100 /\ 1 <= I21] f4#(I25, I26, I27, I28, I29) -> f1#(I25, I26, I27, I28, I29) f1#(I30, I31, I32, I33, I34) -> f4#(1, -1 + I31, -10 + I32, I31, I32) [101 <= I32 /\ 1 <= I31 /\ I30 <= 0] f3#(I35, I36, I37, I38, I39) -> f1#(I35, I36, I37, I38, I39) f1#(I40, I41, I42, I43, I44) -> f3#(1, 1 + I41, 11 + I42, I41, I42) [I42 <= 100 /\ 1 <= I41 /\ I40 <= 0] R = f8(x1, x2, x3, x4, x5) -> f7(x1, x2, x3, x4, x5) f7(I0, I1, I2, I3, I4) -> f1(0, 1, rnd3, I3, I4) [rnd3 = rnd3] f6(I5, I6, I7, I8, I9) -> f1(I5, I6, I7, I8, I9) f1(I10, I11, I12, I13, I14) -> f6(I10, -1 + I11, -10 + I12, I13, I14) [101 <= I12 /\ 1 <= I11] f5(I15, I16, I17, I18, I19) -> f1(I15, I16, I17, I18, I19) f1(I20, I21, I22, I23, I24) -> f5(I20, 1 + I21, 11 + I22, I23, I24) [I22 <= 100 /\ 1 <= I21] f4(I25, I26, I27, I28, I29) -> f1(I25, I26, I27, I28, I29) f1(I30, I31, I32, I33, I34) -> f4(1, -1 + I31, -10 + I32, I31, I32) [101 <= I32 /\ 1 <= I31 /\ I30 <= 0] f3(I35, I36, I37, I38, I39) -> f1(I35, I36, I37, I38, I39) f1(I40, I41, I42, I43, I44) -> f3(1, 1 + I41, 11 + I42, I41, I42) [I42 <= 100 /\ 1 <= I41 /\ I40 <= 0] f1(I45, I46, I47, I48, I49) -> f2(I45, I46, I47, I48, I49) [I47 <= I49 /\ I48 <= I46 /\ 1 <= I45] The dependency graph for this problem is: 0 -> 1 1 -> 3, 5, 7, 9 2 -> 3, 5, 7, 9 3 -> 2 4 -> 3, 5, 7, 9 5 -> 4 6 -> 3, 5, 7, 9 7 -> 6 8 -> 3, 5, 7, 9 9 -> 8 Where: 0) f8#(x1, x2, x3, x4, x5) -> f7#(x1, x2, x3, x4, x5) 1) f7#(I0, I1, I2, I3, I4) -> f1#(0, 1, rnd3, I3, I4) [rnd3 = rnd3] 2) f6#(I5, I6, I7, I8, I9) -> f1#(I5, I6, I7, I8, I9) 3) f1#(I10, I11, I12, I13, I14) -> f6#(I10, -1 + I11, -10 + I12, I13, I14) [101 <= I12 /\ 1 <= I11] 4) f5#(I15, I16, I17, I18, I19) -> f1#(I15, I16, I17, I18, I19) 5) f1#(I20, I21, I22, I23, I24) -> f5#(I20, 1 + I21, 11 + I22, I23, I24) [I22 <= 100 /\ 1 <= I21] 6) f4#(I25, I26, I27, I28, I29) -> f1#(I25, I26, I27, I28, I29) 7) f1#(I30, I31, I32, I33, I34) -> f4#(1, -1 + I31, -10 + I32, I31, I32) [101 <= I32 /\ 1 <= I31 /\ I30 <= 0] 8) f3#(I35, I36, I37, I38, I39) -> f1#(I35, I36, I37, I38, I39) 9) f1#(I40, I41, I42, I43, I44) -> f3#(1, 1 + I41, 11 + I42, I41, I42) [I42 <= 100 /\ 1 <= I41 /\ I40 <= 0] We have the following SCCs. { 2, 3, 4, 5, 6, 7, 8, 9 } DP problem for innermost termination. P = f6#(I5, I6, I7, I8, I9) -> f1#(I5, I6, I7, I8, I9) f1#(I10, I11, I12, I13, I14) -> f6#(I10, -1 + I11, -10 + I12, I13, I14) [101 <= I12 /\ 1 <= I11] f5#(I15, I16, I17, I18, I19) -> f1#(I15, I16, I17, I18, I19) f1#(I20, I21, I22, I23, I24) -> f5#(I20, 1 + I21, 11 + I22, I23, I24) [I22 <= 100 /\ 1 <= I21] f4#(I25, I26, I27, I28, I29) -> f1#(I25, I26, I27, I28, I29) f1#(I30, I31, I32, I33, I34) -> f4#(1, -1 + I31, -10 + I32, I31, I32) [101 <= I32 /\ 1 <= I31 /\ I30 <= 0] f3#(I35, I36, I37, I38, I39) -> f1#(I35, I36, I37, I38, I39) f1#(I40, I41, I42, I43, I44) -> f3#(1, 1 + I41, 11 + I42, I41, I42) [I42 <= 100 /\ 1 <= I41 /\ I40 <= 0] R = f8(x1, x2, x3, x4, x5) -> f7(x1, x2, x3, x4, x5) f7(I0, I1, I2, I3, I4) -> f1(0, 1, rnd3, I3, I4) [rnd3 = rnd3] f6(I5, I6, I7, I8, I9) -> f1(I5, I6, I7, I8, I9) f1(I10, I11, I12, I13, I14) -> f6(I10, -1 + I11, -10 + I12, I13, I14) [101 <= I12 /\ 1 <= I11] f5(I15, I16, I17, I18, I19) -> f1(I15, I16, I17, I18, I19) f1(I20, I21, I22, I23, I24) -> f5(I20, 1 + I21, 11 + I22, I23, I24) [I22 <= 100 /\ 1 <= I21] f4(I25, I26, I27, I28, I29) -> f1(I25, I26, I27, I28, I29) f1(I30, I31, I32, I33, I34) -> f4(1, -1 + I31, -10 + I32, I31, I32) [101 <= I32 /\ 1 <= I31 /\ I30 <= 0] f3(I35, I36, I37, I38, I39) -> f1(I35, I36, I37, I38, I39) f1(I40, I41, I42, I43, I44) -> f3(1, 1 + I41, 11 + I42, I41, I42) [I42 <= 100 /\ 1 <= I41 /\ I40 <= 0] f1(I45, I46, I47, I48, I49) -> f2(I45, I46, I47, I48, I49) [I47 <= I49 /\ I48 <= I46 /\ 1 <= I45] We use the reverse value criterion with the projection function NU: NU[f3#(z1,z2,z3,z4,z5)] = 0 + -1 * z1 NU[f4#(z1,z2,z3,z4,z5)] = 0 + -1 * z1 NU[f5#(z1,z2,z3,z4,z5)] = 0 + -1 * z1 NU[f1#(z1,z2,z3,z4,z5)] = 0 + -1 * z1 NU[f6#(z1,z2,z3,z4,z5)] = 0 + -1 * z1 This gives the following inequalities: ==> 0 + -1 * I5 >= 0 + -1 * I5 101 <= I12 /\ 1 <= I11 ==> 0 + -1 * I10 >= 0 + -1 * I10 ==> 0 + -1 * I15 >= 0 + -1 * I15 I22 <= 100 /\ 1 <= I21 ==> 0 + -1 * I20 >= 0 + -1 * I20 ==> 0 + -1 * I25 >= 0 + -1 * I25 101 <= I32 /\ 1 <= I31 /\ I30 <= 0 ==> 0 + -1 * I30 > 0 + -1 * 1 with 0 + -1 * I30 >= 0 ==> 0 + -1 * I35 >= 0 + -1 * I35 I42 <= 100 /\ 1 <= I41 /\ I40 <= 0 ==> 0 + -1 * I40 > 0 + -1 * 1 with 0 + -1 * I40 >= 0 We remove all the strictly oriented dependency pairs. DP problem for innermost termination. P = f6#(I5, I6, I7, I8, I9) -> f1#(I5, I6, I7, I8, I9) f1#(I10, I11, I12, I13, I14) -> f6#(I10, -1 + I11, -10 + I12, I13, I14) [101 <= I12 /\ 1 <= I11] f5#(I15, I16, I17, I18, I19) -> f1#(I15, I16, I17, I18, I19)
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