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ITS pair #487097734
details
property
value
status
complete
benchmark
small21.t2.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_T2
run statistics
property
value
solver
Ctrl
configuration
Transition
runtime (wallclock)
2.80619 seconds
cpu usage
2.84459
user time
1.52911
system time
1.31548
max virtual memory
359208.0
max residence set size
8572.0
stage attributes
key
value
starexec-result
YES
output
YES DP problem for innermost termination. P = f5#(x1, x2) -> f4#(x1, x2) f4#(I0, I1) -> f1#(I0, I1) f3#(I2, I3) -> f2#(I2, I3) f2#(I4, I5) -> f3#(I4, -1 + I5) [1 <= I5] f2#(I6, I7) -> f1#(-1 + I6, 1 + I7) [I7 <= 0] f1#(I8, I9) -> f2#(I8, I8) [1 <= I8] R = f5(x1, x2) -> f4(x1, x2) f4(I0, I1) -> f1(I0, I1) f3(I2, I3) -> f2(I2, I3) f2(I4, I5) -> f3(I4, -1 + I5) [1 <= I5] f2(I6, I7) -> f1(-1 + I6, 1 + I7) [I7 <= 0] f1(I8, I9) -> f2(I8, I8) [1 <= I8] The dependency graph for this problem is: 0 -> 1 1 -> 5 2 -> 3, 4 3 -> 2 4 -> 5 5 -> 3 Where: 0) f5#(x1, x2) -> f4#(x1, x2) 1) f4#(I0, I1) -> f1#(I0, I1) 2) f3#(I2, I3) -> f2#(I2, I3) 3) f2#(I4, I5) -> f3#(I4, -1 + I5) [1 <= I5] 4) f2#(I6, I7) -> f1#(-1 + I6, 1 + I7) [I7 <= 0] 5) f1#(I8, I9) -> f2#(I8, I8) [1 <= I8] We have the following SCCs. { 2, 3, 4, 5 } DP problem for innermost termination. P = f3#(I2, I3) -> f2#(I2, I3) f2#(I4, I5) -> f3#(I4, -1 + I5) [1 <= I5] f2#(I6, I7) -> f1#(-1 + I6, 1 + I7) [I7 <= 0] f1#(I8, I9) -> f2#(I8, I8) [1 <= I8] R = f5(x1, x2) -> f4(x1, x2) f4(I0, I1) -> f1(I0, I1) f3(I2, I3) -> f2(I2, I3) f2(I4, I5) -> f3(I4, -1 + I5) [1 <= I5] f2(I6, I7) -> f1(-1 + I6, 1 + I7) [I7 <= 0] f1(I8, I9) -> f2(I8, I8) [1 <= I8] We use the extended value criterion with the projection function NU: NU[f1#(x0,x1)] = x0 + 1 NU[f2#(x0,x1)] = x0 NU[f3#(x0,x1)] = x0 This gives the following inequalities: ==> I2 >= I2 1 <= I5 ==> I4 >= I4 I7 <= 0 ==> I6 >= (-1 + I6) + 1 1 <= I8 ==> I8 + 1 > I8 with I8 + 1 >= 0 We remove all the strictly oriented dependency pairs. DP problem for innermost termination. P = f3#(I2, I3) -> f2#(I2, I3) f2#(I4, I5) -> f3#(I4, -1 + I5) [1 <= I5] f2#(I6, I7) -> f1#(-1 + I6, 1 + I7) [I7 <= 0] R = f5(x1, x2) -> f4(x1, x2) f4(I0, I1) -> f1(I0, I1) f3(I2, I3) -> f2(I2, I3) f2(I4, I5) -> f3(I4, -1 + I5) [1 <= I5] f2(I6, I7) -> f1(-1 + I6, 1 + I7) [I7 <= 0] f1(I8, I9) -> f2(I8, I8) [1 <= I8] The dependency graph for this problem is: 2 -> 3, 4 3 -> 2 4 -> Where: 2) f3#(I2, I3) -> f2#(I2, I3) 3) f2#(I4, I5) -> f3#(I4, -1 + I5) [1 <= I5] 4) f2#(I6, I7) -> f1#(-1 + I6, 1 + I7) [I7 <= 0] We have the following SCCs. { 2, 3 } DP problem for innermost termination. P = f3#(I2, I3) -> f2#(I2, I3) f2#(I4, I5) -> f3#(I4, -1 + I5) [1 <= I5] R = f5(x1, x2) -> f4(x1, x2) f4(I0, I1) -> f1(I0, I1) f3(I2, I3) -> f2(I2, I3) f2(I4, I5) -> f3(I4, -1 + I5) [1 <= I5] f2(I6, I7) -> f1(-1 + I6, 1 + I7) [I7 <= 0] f1(I8, I9) -> f2(I8, I8) [1 <= I8]
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