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Integer_Transition_Systems 2019-03-29 01.54 pair #432276150
details
property
value
status
complete
benchmark
ase_example.t2_fixed.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
Ctrl
configuration
Transition
runtime (wallclock)
16.6902 seconds
cpu usage
16.5299
user time
9.15418
system time
7.37569
max virtual memory
745484.0
max residence set size
11860.0
stage attributes
key
value
starexec-result
YES
output
16.48/16.68 YES 16.48/16.68 16.48/16.68 DP problem for innermost termination. 16.48/16.68 P = 16.48/16.68 f9#(x1, x2, x3, x4, x5, x6) -> f8#(x1, x2, x3, x4, x5, x6) 16.48/16.68 f8#(I0, I1, I2, I3, I4, I5) -> f1#(0, rnd2, 10, 10, rnd5, rnd6) [rnd5 = rnd5 /\ rnd2 = 10 /\ rnd6 = rnd6] 16.48/16.68 f2#(I6, I7, I8, I9, I10, I11) -> f1#(1 + I6, I7, I8, I9, I10, I11) [1 + I6 <= I8] 16.48/16.68 f2#(I12, I13, I14, I15, I16, I17) -> f6#(0, I13, I14, I15, I16, I17) [I14 <= I12] 16.48/16.68 f5#(I18, I19, I20, I21, I22, I23) -> f3#(I18, I19, I20, I21, I22, I23) 16.48/16.68 f7#(I24, I25, I26, I27, I28, I29) -> f6#(1 + I24, I25, I26, I27, I28, I29) [1 + I24 <= I26] 16.48/16.68 f7#(I30, I31, I32, I33, I34, I35) -> f5#(0, I31, I32, I33, I34, I35) [I32 <= I30] 16.48/16.68 f6#(I36, I37, I38, I39, I40, I41) -> f7#(I36, I37, I38, I39, I40, I41) 16.48/16.68 f3#(I42, I43, I44, I45, I46, I47) -> f5#(1 + I42, I43, I44, I45, I46, I47) [1 + I42 <= I44] 16.48/16.68 f1#(I54, I55, I56, I57, I58, I59) -> f2#(I54, I55, I56, I57, I58, I59) 16.48/16.68 R = 16.48/16.68 f9(x1, x2, x3, x4, x5, x6) -> f8(x1, x2, x3, x4, x5, x6) 16.48/16.68 f8(I0, I1, I2, I3, I4, I5) -> f1(0, rnd2, 10, 10, rnd5, rnd6) [rnd5 = rnd5 /\ rnd2 = 10 /\ rnd6 = rnd6] 16.48/16.68 f2(I6, I7, I8, I9, I10, I11) -> f1(1 + I6, I7, I8, I9, I10, I11) [1 + I6 <= I8] 16.48/16.68 f2(I12, I13, I14, I15, I16, I17) -> f6(0, I13, I14, I15, I16, I17) [I14 <= I12] 16.48/16.68 f5(I18, I19, I20, I21, I22, I23) -> f3(I18, I19, I20, I21, I22, I23) 16.48/16.68 f7(I24, I25, I26, I27, I28, I29) -> f6(1 + I24, I25, I26, I27, I28, I29) [1 + I24 <= I26] 16.48/16.68 f7(I30, I31, I32, I33, I34, I35) -> f5(0, I31, I32, I33, I34, I35) [I32 <= I30] 16.48/16.68 f6(I36, I37, I38, I39, I40, I41) -> f7(I36, I37, I38, I39, I40, I41) 16.48/16.68 f3(I42, I43, I44, I45, I46, I47) -> f5(1 + I42, I43, I44, I45, I46, I47) [1 + I42 <= I44] 16.48/16.68 f3(I48, I49, I50, I51, I52, I53) -> f4(I48, I49, I50, I51, I52, I53) [I50 <= I48] 16.48/16.68 f1(I54, I55, I56, I57, I58, I59) -> f2(I54, I55, I56, I57, I58, I59) 16.48/16.68 16.48/16.68 The dependency graph for this problem is: 16.48/16.68 0 -> 1 16.48/16.68 1 -> 9 16.48/16.68 2 -> 9 16.48/16.68 3 -> 7 16.48/16.68 4 -> 8 16.48/16.68 5 -> 7 16.48/16.68 6 -> 4 16.48/16.68 7 -> 5, 6 16.48/16.68 8 -> 4 16.48/16.68 9 -> 2, 3 16.48/16.68 Where: 16.48/16.68 0) f9#(x1, x2, x3, x4, x5, x6) -> f8#(x1, x2, x3, x4, x5, x6) 16.48/16.68 1) f8#(I0, I1, I2, I3, I4, I5) -> f1#(0, rnd2, 10, 10, rnd5, rnd6) [rnd5 = rnd5 /\ rnd2 = 10 /\ rnd6 = rnd6] 16.48/16.68 2) f2#(I6, I7, I8, I9, I10, I11) -> f1#(1 + I6, I7, I8, I9, I10, I11) [1 + I6 <= I8] 16.48/16.68 3) f2#(I12, I13, I14, I15, I16, I17) -> f6#(0, I13, I14, I15, I16, I17) [I14 <= I12] 16.48/16.68 4) f5#(I18, I19, I20, I21, I22, I23) -> f3#(I18, I19, I20, I21, I22, I23) 16.48/16.68 5) f7#(I24, I25, I26, I27, I28, I29) -> f6#(1 + I24, I25, I26, I27, I28, I29) [1 + I24 <= I26] 16.48/16.68 6) f7#(I30, I31, I32, I33, I34, I35) -> f5#(0, I31, I32, I33, I34, I35) [I32 <= I30] 16.48/16.68 7) f6#(I36, I37, I38, I39, I40, I41) -> f7#(I36, I37, I38, I39, I40, I41) 16.48/16.68 8) f3#(I42, I43, I44, I45, I46, I47) -> f5#(1 + I42, I43, I44, I45, I46, I47) [1 + I42 <= I44] 16.48/16.68 9) f1#(I54, I55, I56, I57, I58, I59) -> f2#(I54, I55, I56, I57, I58, I59) 16.48/16.68 16.48/16.68 We have the following SCCs. 16.48/16.68 { 2, 9 } 16.48/16.68 { 5, 7 } 16.48/16.68 { 4, 8 } 16.48/16.68 16.48/16.68 DP problem for innermost termination. 16.48/16.68 P = 16.48/16.68 f5#(I18, I19, I20, I21, I22, I23) -> f3#(I18, I19, I20, I21, I22, I23) 16.48/16.68 f3#(I42, I43, I44, I45, I46, I47) -> f5#(1 + I42, I43, I44, I45, I46, I47) [1 + I42 <= I44] 16.48/16.68 R = 16.48/16.68 f9(x1, x2, x3, x4, x5, x6) -> f8(x1, x2, x3, x4, x5, x6) 16.48/16.68 f8(I0, I1, I2, I3, I4, I5) -> f1(0, rnd2, 10, 10, rnd5, rnd6) [rnd5 = rnd5 /\ rnd2 = 10 /\ rnd6 = rnd6] 16.48/16.68 f2(I6, I7, I8, I9, I10, I11) -> f1(1 + I6, I7, I8, I9, I10, I11) [1 + I6 <= I8] 16.48/16.68 f2(I12, I13, I14, I15, I16, I17) -> f6(0, I13, I14, I15, I16, I17) [I14 <= I12] 16.48/16.68 f5(I18, I19, I20, I21, I22, I23) -> f3(I18, I19, I20, I21, I22, I23) 16.48/16.68 f7(I24, I25, I26, I27, I28, I29) -> f6(1 + I24, I25, I26, I27, I28, I29) [1 + I24 <= I26] 16.48/16.68 f7(I30, I31, I32, I33, I34, I35) -> f5(0, I31, I32, I33, I34, I35) [I32 <= I30] 16.48/16.68 f6(I36, I37, I38, I39, I40, I41) -> f7(I36, I37, I38, I39, I40, I41) 16.48/16.68 f3(I42, I43, I44, I45, I46, I47) -> f5(1 + I42, I43, I44, I45, I46, I47) [1 + I42 <= I44] 16.48/16.68 f3(I48, I49, I50, I51, I52, I53) -> f4(I48, I49, I50, I51, I52, I53) [I50 <= I48] 16.48/16.68 f1(I54, I55, I56, I57, I58, I59) -> f2(I54, I55, I56, I57, I58, I59) 16.48/16.68 16.48/16.68 We use the reverse value criterion with the projection function NU: 16.48/16.68 NU[f3#(z1,z2,z3,z4,z5,z6)] = z3 + -1 * (1 + z1) 16.48/16.68 NU[f5#(z1,z2,z3,z4,z5,z6)] = z3 + -1 * (1 + z1) 16.48/16.68 16.48/16.68 This gives the following inequalities: 16.48/16.68 ==> I20 + -1 * (1 + I18) >= I20 + -1 * (1 + I18) 16.48/16.68 1 + I42 <= I44 ==> I44 + -1 * (1 + I42) > I44 + -1 * (1 + (1 + I42)) with I44 + -1 * (1 + I42) >= 0 16.48/16.68 16.48/16.68 We remove all the strictly oriented dependency pairs. 16.48/16.68 16.48/16.68 DP problem for innermost termination. 16.48/16.68 P = 16.48/16.68 f5#(I18, I19, I20, I21, I22, I23) -> f3#(I18, I19, I20, I21, I22, I23) 16.48/16.68 R = 16.48/16.68 f9(x1, x2, x3, x4, x5, x6) -> f8(x1, x2, x3, x4, x5, x6) 16.48/16.68 f8(I0, I1, I2, I3, I4, I5) -> f1(0, rnd2, 10, 10, rnd5, rnd6) [rnd5 = rnd5 /\ rnd2 = 10 /\ rnd6 = rnd6] 16.48/16.68 f2(I6, I7, I8, I9, I10, I11) -> f1(1 + I6, I7, I8, I9, I10, I11) [1 + I6 <= I8] 16.48/16.68 f2(I12, I13, I14, I15, I16, I17) -> f6(0, I13, I14, I15, I16, I17) [I14 <= I12] 16.48/16.68 f5(I18, I19, I20, I21, I22, I23) -> f3(I18, I19, I20, I21, I22, I23) 16.48/16.68 f7(I24, I25, I26, I27, I28, I29) -> f6(1 + I24, I25, I26, I27, I28, I29) [1 + I24 <= I26] 16.48/16.68 f7(I30, I31, I32, I33, I34, I35) -> f5(0, I31, I32, I33, I34, I35) [I32 <= I30] 16.48/16.68 f6(I36, I37, I38, I39, I40, I41) -> f7(I36, I37, I38, I39, I40, I41) 16.48/16.68 f3(I42, I43, I44, I45, I46, I47) -> f5(1 + I42, I43, I44, I45, I46, I47) [1 + I42 <= I44] 16.48/16.68 f3(I48, I49, I50, I51, I52, I53) -> f4(I48, I49, I50, I51, I52, I53) [I50 <= I48] 16.48/16.68 f1(I54, I55, I56, I57, I58, I59) -> f2(I54, I55, I56, I57, I58, I59) 16.48/16.68 16.48/16.68 The dependency graph for this problem is: 16.48/16.68 4 ->
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