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Integer_Transition_Systems 2019-03-29 01.54 pair #432273543
details
property
value
status
complete
benchmark
Fibonacci.jar-obl-8.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n176.star.cs.uiowa.edu
space
From_AProVE_2014
run statistics
property
value
solver
Ctrl
configuration
Transition
runtime (wallclock)
0.824288 seconds
cpu usage
0.840942
user time
0.448385
system time
0.392557
max virtual memory
125640.0
max residence set size
8496.0
stage attributes
key
value
starexec-result
YES
output
0.77/0.82 YES 0.77/0.82 0.77/0.82 DP problem for innermost termination. 0.77/0.82 P = 0.77/0.82 init#(x1, x2) -> f1#(rnd1, rnd2) 0.77/0.82 f3#(I0, I1) -> f2#(I1, I2) [I1 <= I0 - 1 /\ 1 <= I0 - 1] 0.77/0.82 f4#(I3, I4) -> f3#(I3, I3 - 2) [0 <= I3 - 1] 0.77/0.82 f2#(I5, I6) -> f3#(I5, I5 - 2) [I5 - 1 <= I5 - 1 /\ 1 <= I5 - 1] 0.77/0.82 f2#(I7, I8) -> f3#(2, 0) [2 = I7] 0.77/0.82 f2#(I9, I10) -> f2#(I9 - 1, I11) [I9 - 1 <= I9 - 1 /\ 1 <= I9 - 1] 0.77/0.82 f1#(I12, I13) -> f2#(I13, I14) [-1 <= I13 - 1 /\ 0 <= I12 - 1] 0.77/0.82 R = 0.77/0.82 init(x1, x2) -> f1(rnd1, rnd2) 0.77/0.82 f3(I0, I1) -> f2(I1, I2) [I1 <= I0 - 1 /\ 1 <= I0 - 1] 0.77/0.82 f4(I3, I4) -> f3(I3, I3 - 2) [0 <= I3 - 1] 0.77/0.82 f2(I5, I6) -> f3(I5, I5 - 2) [I5 - 1 <= I5 - 1 /\ 1 <= I5 - 1] 0.77/0.82 f2(I7, I8) -> f3(2, 0) [2 = I7] 0.77/0.82 f2(I9, I10) -> f2(I9 - 1, I11) [I9 - 1 <= I9 - 1 /\ 1 <= I9 - 1] 0.77/0.82 f1(I12, I13) -> f2(I13, I14) [-1 <= I13 - 1 /\ 0 <= I12 - 1] 0.77/0.82 0.77/0.82 The dependency graph for this problem is: 0.77/0.82 0 -> 6 0.77/0.82 1 -> 3, 4, 5 0.77/0.82 2 -> 1 0.77/0.82 3 -> 1 0.77/0.82 4 -> 1 0.77/0.82 5 -> 3, 4, 5 0.77/0.82 6 -> 3, 4, 5 0.77/0.82 Where: 0.77/0.82 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.77/0.82 1) f3#(I0, I1) -> f2#(I1, I2) [I1 <= I0 - 1 /\ 1 <= I0 - 1] 0.77/0.82 2) f4#(I3, I4) -> f3#(I3, I3 - 2) [0 <= I3 - 1] 0.77/0.82 3) f2#(I5, I6) -> f3#(I5, I5 - 2) [I5 - 1 <= I5 - 1 /\ 1 <= I5 - 1] 0.77/0.82 4) f2#(I7, I8) -> f3#(2, 0) [2 = I7] 0.77/0.82 5) f2#(I9, I10) -> f2#(I9 - 1, I11) [I9 - 1 <= I9 - 1 /\ 1 <= I9 - 1] 0.77/0.82 6) f1#(I12, I13) -> f2#(I13, I14) [-1 <= I13 - 1 /\ 0 <= I12 - 1] 0.77/0.82 0.77/0.82 We have the following SCCs. 0.77/0.82 { 1, 3, 4, 5 } 0.77/0.82 0.77/0.82 DP problem for innermost termination. 0.77/0.82 P = 0.77/0.82 f3#(I0, I1) -> f2#(I1, I2) [I1 <= I0 - 1 /\ 1 <= I0 - 1] 0.77/0.82 f2#(I5, I6) -> f3#(I5, I5 - 2) [I5 - 1 <= I5 - 1 /\ 1 <= I5 - 1] 0.77/0.82 f2#(I7, I8) -> f3#(2, 0) [2 = I7] 0.77/0.82 f2#(I9, I10) -> f2#(I9 - 1, I11) [I9 - 1 <= I9 - 1 /\ 1 <= I9 - 1] 0.77/0.82 R = 0.77/0.82 init(x1, x2) -> f1(rnd1, rnd2) 0.77/0.82 f3(I0, I1) -> f2(I1, I2) [I1 <= I0 - 1 /\ 1 <= I0 - 1] 0.77/0.82 f4(I3, I4) -> f3(I3, I3 - 2) [0 <= I3 - 1] 0.77/0.82 f2(I5, I6) -> f3(I5, I5 - 2) [I5 - 1 <= I5 - 1 /\ 1 <= I5 - 1] 0.77/0.82 f2(I7, I8) -> f3(2, 0) [2 = I7] 0.77/0.82 f2(I9, I10) -> f2(I9 - 1, I11) [I9 - 1 <= I9 - 1 /\ 1 <= I9 - 1] 0.77/0.82 f1(I12, I13) -> f2(I13, I14) [-1 <= I13 - 1 /\ 0 <= I12 - 1] 0.77/0.82 0.77/0.82 We use the basic value criterion with the projection function NU: 0.77/0.82 NU[f2#(z1,z2)] = z1 0.77/0.82 NU[f3#(z1,z2)] = z2 0.77/0.82 0.77/0.82 This gives the following inequalities: 0.77/0.82 I1 <= I0 - 1 /\ 1 <= I0 - 1 ==> I1 (>! \union =) I1 0.77/0.82 I5 - 1 <= I5 - 1 /\ 1 <= I5 - 1 ==> I5 >! I5 - 2 0.77/0.82 2 = I7 ==> I7 >! 0 0.77/0.82 I9 - 1 <= I9 - 1 /\ 1 <= I9 - 1 ==> I9 >! I9 - 1 0.77/0.82 0.77/0.82 We remove all the strictly oriented dependency pairs. 0.77/0.82 0.77/0.82 DP problem for innermost termination. 0.77/0.82 P = 0.77/0.82 f3#(I0, I1) -> f2#(I1, I2) [I1 <= I0 - 1 /\ 1 <= I0 - 1] 0.77/0.82 R = 0.77/0.82 init(x1, x2) -> f1(rnd1, rnd2) 0.77/0.82 f3(I0, I1) -> f2(I1, I2) [I1 <= I0 - 1 /\ 1 <= I0 - 1] 0.77/0.82 f4(I3, I4) -> f3(I3, I3 - 2) [0 <= I3 - 1] 0.77/0.82 f2(I5, I6) -> f3(I5, I5 - 2) [I5 - 1 <= I5 - 1 /\ 1 <= I5 - 1] 0.77/0.82 f2(I7, I8) -> f3(2, 0) [2 = I7] 0.77/0.82 f2(I9, I10) -> f2(I9 - 1, I11) [I9 - 1 <= I9 - 1 /\ 1 <= I9 - 1] 0.77/0.82 f1(I12, I13) -> f2(I13, I14) [-1 <= I13 - 1 /\ 0 <= I12 - 1] 0.77/0.82 0.77/0.82 The dependency graph for this problem is: 0.77/0.82 1 -> 0.77/0.82 Where: 0.77/0.82 1) f3#(I0, I1) -> f2#(I1, I2) [I1 <= I0 - 1 /\ 1 <= I0 - 1] 0.77/0.82 0.77/0.82 We have the following SCCs. 0.77/0.82 0.77/3.80 EOF
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