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Compl Integ Trans Syste 26843 pair #381744406
details
property
value
status
complete
benchmark
counterex1b.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
WTC
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
7.75757813454 seconds
cpu usage
16.730797585
max memory
3.85196032E8
stage attributes
key
value
output-size
21087
starexec-result
WORST_CASE(Omega(n^2), ?)
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^2), ?) proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, INF). (0) CpxIntTrs (1) Loat Proof [FINISHED, 3005 ms] (2) BOUNDS(n^2, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: evalfstart(A, B, C, D, E, F) -> Com_1(evalfentryin(A, B, C, D, E, F)) :|: TRUE evalfentryin(A, B, C, D, E, F) -> Com_1(evalfbb8in(B, A, C, D, E, F)) :|: TRUE evalfbb8in(A, B, C, D, E, F) -> Com_1(evalfbb2in(A, B, A, D, E, F)) :|: B >= 0 evalfbb8in(A, B, C, D, E, F) -> Com_1(evalfreturnin(A, B, C, D, E, F)) :|: 0 >= B + 1 evalfbb2in(A, B, C, D, E, F) -> Com_1(evalfbb4in(A, B, C, D, E, F)) :|: 0 >= C + 1 evalfbb2in(A, B, C, D, E, F) -> Com_1(evalfbb3in(A, B, C, D, E, F)) :|: C >= 0 evalfbb3in(A, B, C, D, E, F) -> Com_1(evalfbb1in(A, B, C, D, E, F)) :|: 0 >= G + 1 evalfbb3in(A, B, C, D, E, F) -> Com_1(evalfbb1in(A, B, C, D, E, F)) :|: G >= 1 evalfbb3in(A, B, C, D, E, F) -> Com_1(evalfbb4in(A, B, C, D, E, F)) :|: TRUE evalfbb1in(A, B, C, D, E, F) -> Com_1(evalfbb2in(A, B, C - 1, D, E, F)) :|: TRUE evalfbb4in(A, B, C, D, E, F) -> Com_1(evalfbb6in(A, B, C, B - 1, C, F)) :|: TRUE evalfbb6in(A, B, C, D, E, F) -> Com_1(evalfbb8in(E, D, C, D, E, F)) :|: E >= F + 1 evalfbb6in(A, B, C, D, E, F) -> Com_1(evalfbb7in(A, B, C, D, E, F)) :|: F >= E evalfbb7in(A, B, C, D, E, F) -> Com_1(evalfbb5in(A, B, C, D, E, F)) :|: 0 >= G + 1 evalfbb7in(A, B, C, D, E, F) -> Com_1(evalfbb5in(A, B, C, D, E, F)) :|: G >= 1 evalfbb7in(A, B, C, D, E, F) -> Com_1(evalfbb8in(E, D, C, D, E, F)) :|: TRUE evalfbb5in(A, B, C, D, E, F) -> Com_1(evalfbb6in(A, B, C, D, E + 1, F)) :|: TRUE evalfreturnin(A, B, C, D, E, F) -> Com_1(evalfstop(A, B, C, D, E, F)) :|: TRUE The start-symbols are:[evalfstart_6] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: evalfstart 0: evalfstart -> evalfentryin : [], cost: 1 1: evalfentryin -> evalfbb8in : A'=B, B'=A, [], cost: 1 2: evalfbb8in -> evalfbb2in : C'=A, [ B>=0 ], cost: 1 3: evalfbb8in -> evalfreturnin : [ 0>=1+B ], cost: 1 4: evalfbb2in -> evalfbb4in : [ 0>=1+C ], cost: 1 5: evalfbb2in -> evalfbb3in : [ C>=0 ], cost: 1 6: evalfbb3in -> evalfbb1in : [ 0>=1+free ], cost: 1 7: evalfbb3in -> evalfbb1in : [ free_1>=1 ], cost: 1 8: evalfbb3in -> evalfbb4in : [], cost: 1 9: evalfbb1in -> evalfbb2in : C'=-1+C, [], cost: 1 10: evalfbb4in -> evalfbb6in : D'=-1+B, E'=C, [], cost: 1 11: evalfbb6in -> evalfbb8in : A'=E, B'=D, [ E>=1+F ], cost: 1 12: evalfbb6in -> evalfbb7in : [ F>=E ], cost: 1 13: evalfbb7in -> evalfbb5in : [ 0>=1+free_2 ], cost: 1 14: evalfbb7in -> evalfbb5in : [ free_3>=1 ], cost: 1 15: evalfbb7in -> evalfbb8in : A'=E, B'=D, [], cost: 1 16: evalfbb5in -> evalfbb6in : E'=1+E, [], cost: 1 17: evalfreturnin -> evalfstop : [], cost: 1 Removed unreachable and leaf rules: Start location: evalfstart
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