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Complexity_ITS 2019-03-21 04.46 pair #429990714
details
property
value
status
complete
benchmark
firewire.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
46.7385 seconds
cpu usage
73.9906
user time
72.7375
system time
1.25313
max virtual memory
1.87781E7
max residence set size
253056.0
stage attributes
key
value
starexec-result
WORST_CASE(NON_POLY, ?)
output
73.90/46.71 WORST_CASE(NON_POLY, ?) 73.90/46.72 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 73.90/46.72 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 73.90/46.72 73.90/46.72 73.90/46.72 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 73.90/46.72 73.90/46.72 (0) CpxIntTrs 73.90/46.72 (1) Loat Proof [FINISHED, 45.1 s] 73.90/46.72 (2) BOUNDS(INF, INF) 73.90/46.72 73.90/46.72 73.90/46.72 ---------------------------------------- 73.90/46.72 73.90/46.72 (0) 73.90/46.72 Obligation: 73.90/46.72 Complexity Int TRS consisting of the following rules: 73.90/46.72 f0(A, B, C, D, E, F, G, H, I) -> Com_1(f9(0, 1, 1, 0, 0, J, G, H, I)) :|: J >= 1 73.90/46.72 f9(A, B, C, D, E, F, G, H, I) -> Com_1(f20(A, B, C - 1, D, D, 0, A - 2, 1, A - 2)) :|: A >= 3 && C >= 1 && D >= E && D <= E && F >= 0 && F <= 0 73.90/46.72 f9(A, B, C, D, E, F, G, H, I) -> Com_1(f20(A, B, C - 1, D, D, 0, A, 0, A)) :|: 2 >= A && C >= 1 && D >= E && D <= E && F >= 0 && F <= 0 73.90/46.72 f9(A, B, C, D, E, F, G, H, I) -> Com_1(f20(0, B + 1, B + 1, D, D, J, G, H, I)) :|: J >= 1 && A >= 3 && 0 >= C && D >= E && D <= E && F >= 0 && F <= 0 73.90/46.72 f9(A, B, C, D, E, F, G, H, I) -> Com_1(f20(A + 1, B + 1, B + 1, D, D, J, G, H, I)) :|: J >= 1 && 2 >= A && 0 >= C && D >= E && D <= E && F >= 0 && F <= 0 73.90/46.72 f9(A, B, C, D, E, F, G, H, I) -> Com_1(f20(A, B, C, D, D, F - 1, G, J, K)) :|: 0 >= F + 1 && D >= E && D <= E 73.90/46.72 f9(A, B, C, D, E, F, G, H, I) -> Com_1(f20(A, B, C, D, D, F - 1, G, J, K)) :|: F >= 1 && D >= E && D <= E 73.90/46.72 f20(A, B, C, D, E, F, G, H, I) -> Com_1(f32(A, B, C, 0, E, F, G, H, 0)) :|: I >= 0 && I <= 0 73.90/46.72 f20(A, B, C, D, E, F, G, H, I) -> Com_1(f32(A, B, C, 1, E, F, G, H, I)) :|: 0 >= I + 1 73.90/46.72 f20(A, B, C, D, E, F, G, H, I) -> Com_1(f32(A, B, C, 1, E, F, G, H, I)) :|: I >= 1 73.90/46.72 f32(A, B, C, D, E, F, G, H, I) -> Com_1(f9(A, B, C, D, 0, F, G, 0, I)) :|: H >= 0 && H <= 0 73.90/46.72 f32(A, B, C, D, E, F, G, H, I) -> Com_1(f9(A, B, C, D, 1, F, G, H, I)) :|: 0 >= H + 1 73.90/46.72 f32(A, B, C, D, E, F, G, H, I) -> Com_1(f9(A, B, C, D, 1, F, G, H, I)) :|: H >= 1 73.90/46.72 f9(A, B, C, D, E, F, G, H, I) -> Com_1(f38(A, B, C, D, E, F, G, H, I)) :|: E >= D + 1 73.90/46.72 f9(A, B, C, D, E, F, G, H, I) -> Com_1(f38(A, B, C, D, E, F, G, H, I)) :|: D >= 1 + E 73.90/46.72 73.90/46.72 The start-symbols are:[f0_9] 73.90/46.72 73.90/46.72 73.90/46.72 ---------------------------------------- 73.90/46.72 73.90/46.72 (1) Loat Proof (FINISHED) 73.90/46.72 73.90/46.72 73.90/46.72 ### Pre-processing the ITS problem ### 73.90/46.72 73.90/46.72 73.90/46.72 73.90/46.72 Initial linear ITS problem 73.90/46.72 73.90/46.72 Start location: f0 73.90/46.72 73.90/46.72 0: f0 -> f9 : A'=0, B'=1, C'=1, D'=0, E'=0, F'=free, [ free>=1 ], cost: 1 73.90/46.72 73.90/46.72 1: f9 -> f20 : C'=-1+C, E'=D, F'=0, G'=-2+A, H'=1, Q'=-2+A, [ A>=3 && C>=1 && D==E && F==0 ], cost: 1 73.90/46.72 73.90/46.72 2: f9 -> f20 : C'=-1+C, E'=D, F'=0, G'=A, H'=0, Q'=A, [ 2>=A && C>=1 && D==E && F==0 ], cost: 1 73.90/46.72 73.90/46.72 3: f9 -> f20 : A'=0, B'=1+B, C'=1+B, E'=D, F'=free_1, [ free_1>=1 && A>=3 && 0>=C && D==E && F==0 ], cost: 1 73.90/46.72 73.90/46.72 4: f9 -> f20 : A'=1+A, B'=1+B, C'=1+B, E'=D, F'=free_2, [ free_2>=1 && 2>=A && 0>=C && D==E && F==0 ], cost: 1 73.90/46.72 73.90/46.72 5: f9 -> f20 : E'=D, F'=-1+F, H'=free_3, Q'=free_4, [ 0>=1+F && D==E ], cost: 1 73.90/46.72 73.90/46.72 6: f9 -> f20 : E'=D, F'=-1+F, H'=free_5, Q'=free_6, [ F>=1 && D==E ], cost: 1 73.90/46.72 73.90/46.72 13: f9 -> f38 : [ E>=1+D ], cost: 1 73.90/46.72 73.90/46.72 14: f9 -> f38 : [ D>=1+E ], cost: 1 73.90/46.72 73.90/46.72 7: f20 -> f32 : D'=0, Q'=0, [ Q==0 ], cost: 1 73.90/46.72 73.90/46.72 8: f20 -> f32 : D'=1, [ 0>=1+Q ], cost: 1 73.90/46.72 73.90/46.72 9: f20 -> f32 : D'=1, [ Q>=1 ], cost: 1 73.90/46.72 73.90/46.72 10: f32 -> f9 : E'=0, H'=0, [ H==0 ], cost: 1 73.90/46.72 73.90/46.72 11: f32 -> f9 : E'=1, [ 0>=1+H ], cost: 1 73.90/46.72 73.90/46.72 12: f32 -> f9 : E'=1, [ H>=1 ], cost: 1 73.90/46.72 73.90/46.72 73.90/46.72 73.90/46.72 Removed unreachable and leaf rules: 73.90/46.72 73.90/46.72 Start location: f0 73.90/46.72 73.90/46.72 0: f0 -> f9 : A'=0, B'=1, C'=1, D'=0, E'=0, F'=free, [ free>=1 ], cost: 1 73.90/46.72 73.90/46.72 1: f9 -> f20 : C'=-1+C, E'=D, F'=0, G'=-2+A, H'=1, Q'=-2+A, [ A>=3 && C>=1 && D==E && F==0 ], cost: 1 73.90/46.72 73.90/46.72 2: f9 -> f20 : C'=-1+C, E'=D, F'=0, G'=A, H'=0, Q'=A, [ 2>=A && C>=1 && D==E && F==0 ], cost: 1 73.90/46.72 73.90/46.72 3: f9 -> f20 : A'=0, B'=1+B, C'=1+B, E'=D, F'=free_1, [ free_1>=1 && A>=3 && 0>=C && D==E && F==0 ], cost: 1 73.90/46.72 73.90/46.72 4: f9 -> f20 : A'=1+A, B'=1+B, C'=1+B, E'=D, F'=free_2, [ free_2>=1 && 2>=A && 0>=C && D==E && F==0 ], cost: 1 73.90/46.72 73.90/46.72 5: f9 -> f20 : E'=D, F'=-1+F, H'=free_3, Q'=free_4, [ 0>=1+F && D==E ], cost: 1 73.90/46.72 73.90/46.72 6: f9 -> f20 : E'=D, F'=-1+F, H'=free_5, Q'=free_6, [ F>=1 && D==E ], cost: 1 73.90/46.72 73.90/46.72 7: f20 -> f32 : D'=0, Q'=0, [ Q==0 ], cost: 1
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