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Complexity_ITS 2019-03-21 04.46 pair #429990656
details
property
value
status
complete
benchmark
janne_complex.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
10.3207 seconds
cpu usage
15.744
user time
15.2815
system time
0.462529
max virtual memory
1.8737648E7
max residence set size
226124.0
stage attributes
key
value
starexec-result
MAYBE
output
15.68/10.30 MAYBE 15.69/10.31 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 15.69/10.31 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 15.69/10.31 15.69/10.31 15.69/10.31 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 15.69/10.31 15.69/10.31 (0) CpxIntTrs 15.69/10.31 (1) Loat Proof [FINISHED, 2661 ms] 15.69/10.31 (2) BOUNDS(1, INF) 15.69/10.31 15.69/10.31 15.69/10.31 ---------------------------------------- 15.69/10.31 15.69/10.31 (0) 15.69/10.31 Obligation: 15.69/10.31 Complexity Int TRS consisting of the following rules: 15.69/10.31 f0(A, B, C, D, E, F) -> Com_1(f8(1, 1, 0, 1, 1, F)) :|: TRUE 15.69/10.31 f8(A, B, C, D, E, F) -> Com_1(f10(A, B, C, D, E, F)) :|: 29 >= D 15.69/10.31 f10(A, B, C, D, E, F) -> Com_1(f14(A, B, C, D, G, F)) :|: D >= E + 1 && E >= 6 15.69/10.31 f10(A, B, C, D, E, F) -> Com_1(f14(A, B, C, D, E + 2, F)) :|: D >= E + 1 && 5 >= E 15.69/10.31 f14(A, B, C, D, E, F) -> Com_1(f10(A, B, C, D + 10, E, F)) :|: 12 >= E && E >= 10 15.69/10.31 f14(A, B, C, D, E, F) -> Com_1(f10(A, B, C, D + 1, E, F)) :|: E >= 13 15.69/10.31 f14(A, B, C, D, E, F) -> Com_1(f10(A, B, C, D + 1, E, F)) :|: 9 >= E 15.69/10.31 f10(A, B, C, D, E, F) -> Com_1(f8(A, B, C, D + 2, E - 10, F)) :|: E >= D 15.69/10.31 f8(A, B, C, D, E, F) -> Com_1(f28(A, B, 1, D, E, 1)) :|: D >= 30 15.69/10.31 15.69/10.31 The start-symbols are:[f0_6] 15.69/10.31 15.69/10.31 15.69/10.31 ---------------------------------------- 15.69/10.31 15.69/10.31 (1) Loat Proof (FINISHED) 15.69/10.31 15.69/10.31 15.69/10.31 ### Pre-processing the ITS problem ### 15.69/10.31 15.69/10.31 15.69/10.31 15.69/10.31 Initial linear ITS problem 15.69/10.31 15.69/10.31 Start location: f0 15.69/10.31 15.69/10.31 0: f0 -> f8 : A'=1, B'=1, C'=0, D'=1, E'=1, [], cost: 1 15.69/10.31 15.69/10.31 1: f8 -> f10 : [ 29>=D ], cost: 1 15.69/10.31 15.69/10.31 8: f8 -> f28 : C'=1, F'=1, [ D>=30 ], cost: 1 15.69/10.31 15.69/10.31 2: f10 -> f14 : E'=free, [ D>=1+E && E>=6 ], cost: 1 15.69/10.31 15.69/10.31 3: f10 -> f14 : E'=2+E, [ D>=1+E && 5>=E ], cost: 1 15.69/10.31 15.69/10.31 7: f10 -> f8 : D'=2+D, E'=-10+E, [ E>=D ], cost: 1 15.69/10.31 15.69/10.31 4: f14 -> f10 : D'=10+D, [ 12>=E && E>=10 ], cost: 1 15.69/10.31 15.69/10.31 5: f14 -> f10 : D'=1+D, [ E>=13 ], cost: 1 15.69/10.31 15.69/10.31 6: f14 -> f10 : D'=1+D, [ 9>=E ], cost: 1 15.69/10.31 15.69/10.31 15.69/10.31 15.69/10.31 Removed unreachable and leaf rules: 15.69/10.31 15.69/10.31 Start location: f0 15.69/10.31 15.69/10.31 0: f0 -> f8 : A'=1, B'=1, C'=0, D'=1, E'=1, [], cost: 1 15.69/10.31 15.69/10.31 1: f8 -> f10 : [ 29>=D ], cost: 1 15.69/10.31 15.69/10.31 2: f10 -> f14 : E'=free, [ D>=1+E && E>=6 ], cost: 1 15.69/10.31 15.69/10.31 3: f10 -> f14 : E'=2+E, [ D>=1+E && 5>=E ], cost: 1 15.69/10.31 15.69/10.31 7: f10 -> f8 : D'=2+D, E'=-10+E, [ E>=D ], cost: 1 15.69/10.31 15.69/10.31 4: f14 -> f10 : D'=10+D, [ 12>=E && E>=10 ], cost: 1 15.69/10.31 15.69/10.31 5: f14 -> f10 : D'=1+D, [ E>=13 ], cost: 1 15.69/10.31 15.69/10.31 6: f14 -> f10 : D'=1+D, [ 9>=E ], cost: 1 15.69/10.31 15.69/10.31 15.69/10.31 15.69/10.31 ### Simplification by acceleration and chaining ### 15.69/10.31 15.69/10.31 15.69/10.31 15.69/10.31 Eliminated locations (on tree-shaped paths): 15.69/10.31 15.69/10.31 Start location: f0 15.69/10.31 15.69/10.31 0: f0 -> f8 : A'=1, B'=1, C'=0, D'=1, E'=1, [], cost: 1 15.69/10.31 15.69/10.31 1: f8 -> f10 : [ 29>=D ], cost: 1 15.69/10.31 15.69/10.31 7: f10 -> f8 : D'=2+D, E'=-10+E, [ E>=D ], cost: 1 15.69/10.31 15.69/10.31 9: f10 -> f10 : D'=10+D, E'=free, [ D>=1+E && E>=6 && 12>=free && free>=10 ], cost: 2
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