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Integer_Transition_Systems 2019-03-29 01.54 pair #432276276
details
property
value
status
complete
benchmark
complex_guard.t2.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n006.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
Ctrl
configuration
Transition
runtime (wallclock)
0.635063 seconds
cpu usage
0.645956
user time
0.342495
system time
0.303461
max virtual memory
124872.0
max residence set size
8436.0
stage attributes
key
value
starexec-result
YES
output
0.62/0.63 YES 0.62/0.63 0.62/0.63 DP problem for innermost termination. 0.62/0.63 P = 0.62/0.63 f9#(x1) -> f8#(x1) 0.62/0.63 f8#(I0) -> f3#(0) 0.62/0.63 f7#(I1) -> f5#(I1) [2 <= I1] 0.62/0.63 f7#(I2) -> f5#(I2) [1 + I2 <= 2] 0.62/0.63 f2#(I3) -> f7#(I3) 0.62/0.63 f3#(I5) -> f4#(I5) 0.62/0.63 f4#(I6) -> f2#(I6) 0.62/0.63 f4#(I7) -> f1#(I7) 0.62/0.63 f4#(I8) -> f1#(I8) 0.62/0.63 f1#(I9) -> f3#(1 + I9) [1 + I9 <= 3] 0.62/0.63 f1#(I10) -> f2#(I10) [3 <= I10] 0.62/0.63 R = 0.62/0.63 f9(x1) -> f8(x1) 0.62/0.63 f8(I0) -> f3(0) 0.62/0.63 f7(I1) -> f5(I1) [2 <= I1] 0.62/0.63 f7(I2) -> f5(I2) [1 + I2 <= 2] 0.62/0.63 f2(I3) -> f7(I3) 0.62/0.63 f5(I4) -> f6(I4) 0.62/0.63 f3(I5) -> f4(I5) 0.62/0.63 f4(I6) -> f2(I6) 0.62/0.63 f4(I7) -> f1(I7) 0.62/0.63 f4(I8) -> f1(I8) 0.62/0.63 f1(I9) -> f3(1 + I9) [1 + I9 <= 3] 0.62/0.63 f1(I10) -> f2(I10) [3 <= I10] 0.62/0.63 0.62/0.63 The dependency graph for this problem is: 0.62/0.63 0 -> 1 0.62/0.63 1 -> 5 0.62/0.63 2 -> 0.62/0.63 3 -> 0.62/0.63 4 -> 2, 3 0.62/0.63 5 -> 6, 7, 8 0.62/0.63 6 -> 4 0.62/0.63 7 -> 9, 10 0.62/0.63 8 -> 9, 10 0.62/0.63 9 -> 5 0.62/0.63 10 -> 4 0.62/0.63 Where: 0.62/0.63 0) f9#(x1) -> f8#(x1) 0.62/0.63 1) f8#(I0) -> f3#(0) 0.62/0.63 2) f7#(I1) -> f5#(I1) [2 <= I1] 0.62/0.63 3) f7#(I2) -> f5#(I2) [1 + I2 <= 2] 0.62/0.63 4) f2#(I3) -> f7#(I3) 0.62/0.63 5) f3#(I5) -> f4#(I5) 0.62/0.63 6) f4#(I6) -> f2#(I6) 0.62/0.63 7) f4#(I7) -> f1#(I7) 0.62/0.63 8) f4#(I8) -> f1#(I8) 0.62/0.63 9) f1#(I9) -> f3#(1 + I9) [1 + I9 <= 3] 0.62/0.63 10) f1#(I10) -> f2#(I10) [3 <= I10] 0.62/0.63 0.62/0.63 We have the following SCCs. 0.62/0.63 { 5, 7, 8, 9 } 0.62/0.63 0.62/0.63 DP problem for innermost termination. 0.62/0.63 P = 0.62/0.63 f3#(I5) -> f4#(I5) 0.62/0.63 f4#(I7) -> f1#(I7) 0.62/0.63 f4#(I8) -> f1#(I8) 0.62/0.63 f1#(I9) -> f3#(1 + I9) [1 + I9 <= 3] 0.62/0.63 R = 0.62/0.63 f9(x1) -> f8(x1) 0.62/0.63 f8(I0) -> f3(0) 0.62/0.63 f7(I1) -> f5(I1) [2 <= I1] 0.62/0.63 f7(I2) -> f5(I2) [1 + I2 <= 2] 0.62/0.63 f2(I3) -> f7(I3) 0.62/0.63 f5(I4) -> f6(I4) 0.62/0.63 f3(I5) -> f4(I5) 0.62/0.63 f4(I6) -> f2(I6) 0.62/0.63 f4(I7) -> f1(I7) 0.62/0.63 f4(I8) -> f1(I8) 0.62/0.63 f1(I9) -> f3(1 + I9) [1 + I9 <= 3] 0.62/0.63 f1(I10) -> f2(I10) [3 <= I10] 0.62/0.63 0.62/0.63 We use the extended value criterion with the projection function NU: 0.62/0.63 NU[f1#(x0)] = -x0 + 2 0.62/0.63 NU[f4#(x0)] = -x0 + 2 0.62/0.63 NU[f3#(x0)] = -x0 + 2 0.62/0.63 0.62/0.63 This gives the following inequalities: 0.62/0.63 ==> -I5 + 2 >= -I5 + 2 0.62/0.63 ==> -I7 + 2 >= -I7 + 2 0.62/0.63 ==> -I8 + 2 >= -I8 + 2 0.62/0.63 1 + I9 <= 3 ==> -I9 + 2 > -(1 + I9) + 2 with -I9 + 2 >= 0 0.62/0.63 0.62/0.63 We remove all the strictly oriented dependency pairs. 0.62/0.63 0.62/0.63 DP problem for innermost termination. 0.62/0.63 P = 0.62/0.63 f3#(I5) -> f4#(I5) 0.62/0.63 f4#(I7) -> f1#(I7) 0.62/0.63 f4#(I8) -> f1#(I8) 0.62/0.63 R = 0.62/0.63 f9(x1) -> f8(x1) 0.62/0.63 f8(I0) -> f3(0) 0.62/0.63 f7(I1) -> f5(I1) [2 <= I1] 0.62/0.63 f7(I2) -> f5(I2) [1 + I2 <= 2]
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