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Compl Integ Trans Syste 26843 pair #381744996
details
property
value
status
complete
benchmark
loop3.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n080.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
18.7730278969 seconds
cpu usage
53.102759307
max memory
1.342009344E9
stage attributes
key
value
output-size
494071
starexec-result
WORST_CASE(?, O(1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(1)) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 16.9 s] (2) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f0(A, B, C) -> Com_1(f154(0, 2, 0)) :|: TRUE f154(A, B, C) -> Com_1(f154(A + C, B, C + 1)) :|: 2 >= C f160(A, B, C) -> Com_1(f160(A + C, B, C + 1)) :|: 3 >= C f166(A, B, C) -> Com_1(f166(A + C, B, C + 1)) :|: 2 >= C f172(A, B, C) -> Com_1(f172(A + C, B, C + 1)) :|: 3 >= C f180(A, B, C) -> Com_1(f180(A + C, B, C + 1)) :|: 1 >= C f186(A, B, C) -> Com_1(f186(A + C, B, C + 1)) :|: 2 >= C f192(A, B, C) -> Com_1(f192(A + C, B, C + 1)) :|: 1 >= C f198(A, B, C) -> Com_1(f198(A + C, B, C + 1)) :|: 2 >= C f206(A, B, C) -> Com_1(f206(A + C, B, C + 1)) :|: 0 >= 3 + C f212(A, B, C) -> Com_1(f212(A + C, B, C + 1)) :|: 0 >= 2 + C f218(A, B, C) -> Com_1(f218(A + C, B, C + 1)) :|: 0 >= 3 + C f224(A, B, C) -> Com_1(f224(A + C, B, C + 1)) :|: 0 >= 2 + C f232(A, B, C) -> Com_1(f232(A + C, B, C + 1)) :|: 0 >= 2 + C f238(A, B, C) -> Com_1(f238(A + C, B, C + 1)) :|: 0 >= C + 1 f244(A, B, C) -> Com_1(f244(A + C, B, C + 1)) :|: 0 >= 2 + C f250(A, B, C) -> Com_1(f250(A + C, B, C + 1)) :|: 0 >= C + 1 f258(A, B, C) -> Com_1(f258(A + C, B, C + 1)) :|: 0 >= C + 1 f264(A, B, C) -> Com_1(f264(A + C, B, C + 1)) :|: 0 >= C f270(A, B, C) -> Com_1(f270(A + C, B, C + 1)) :|: 0 >= C + 1 f276(A, B, C) -> Com_1(f276(A + C, B, C + 1)) :|: 0 >= C f284(A, B, C) -> Com_1(f284(A + C, B, C + 1)) :|: 3 >= C f290(A, B, C) -> Com_1(f290(A + C, B, C + 1)) :|: 4 >= C f296(A, B, C) -> Com_1(f296(A + C, B, C + 1)) :|: 3 >= C f302(A, B, C) -> Com_1(f302(A + C, B, C + 1)) :|: 4 >= C f310(A, B, C) -> Com_1(f310(A + C, B, C + B)) :|: 2 >= C f316(A, B, C) -> Com_1(f316(A + C, B, C + B)) :|: 3 >= C f322(A, B, C) -> Com_1(f322(A + C, B, C + B)) :|: 2 >= C f328(A, B, C) -> Com_1(f328(A + C, B, C + B)) :|: 3 >= C f336(A, B, C) -> Com_1(f336(A + C, B, C + B)) :|: 1 >= C f342(A, B, C) -> Com_1(f342(A + C, B, C + B)) :|: 2 >= C f348(A, B, C) -> Com_1(f348(A + C, B, C + B)) :|: 1 >= C f354(A, B, C) -> Com_1(f354(A + C, B, C + B)) :|: 2 >= C f362(A, B, C) -> Com_1(f362(A + C, B, C + B)) :|: 0 >= 3 + C f368(A, B, C) -> Com_1(f368(A + C, B, C + B)) :|: 0 >= 2 + C f374(A, B, C) -> Com_1(f374(A + C, B, C + B)) :|: 0 >= 3 + C f380(A, B, C) -> Com_1(f380(A + C, B, C + B)) :|: 0 >= 2 + C f388(A, B, C) -> Com_1(f388(A + C, B, C + B)) :|: 0 >= 2 + C f394(A, B, C) -> Com_1(f394(A + C, B, C + B)) :|: 0 >= C + 1 f400(A, B, C) -> Com_1(f400(A + C, B, C + B)) :|: 0 >= 2 + C f406(A, B, C) -> Com_1(f406(A + C, B, C + B)) :|: 0 >= C + 1 f414(A, B, C) -> Com_1(f414(A + C, B, C + B)) :|: 0 >= C + 1 f420(A, B, C) -> Com_1(f420(A + C, B, C + B)) :|: 0 >= C f426(A, B, C) -> Com_1(f426(A + C, B, C + B)) :|: 0 >= C + 1 f432(A, B, C) -> Com_1(f432(A + C, B, C + B)) :|: 0 >= C f440(A, B, C) -> Com_1(f440(A + C, B, C + B)) :|: 3 >= C f446(A, B, C) -> Com_1(f446(A + C, B, C + B)) :|: 4 >= C f452(A, B, C) -> Com_1(f452(A + C, B, C + B)) :|: 3 >= C f458(A, B, C) -> Com_1(f458(A + C, B, C + B)) :|: 4 >= C f466(A, B, C) -> Com_1(f466(A + C, B, C - 1)) :|: C >= 3 f472(A, B, C) -> Com_1(f472(A + C, B, C - 1)) :|: C >= 2 f478(A, B, C) -> Com_1(f478(A + C, B, C - 1)) :|: C >= 3 f484(A, B, C) -> Com_1(f484(A + C, B, C - 1)) :|: C >= 2 f492(A, B, C) -> Com_1(f492(A + C, B, C - 1)) :|: C >= 2 f498(A, B, C) -> Com_1(f498(A + C, B, C - 1)) :|: C >= 1 f504(A, B, C) -> Com_1(f504(A + C, B, C - 1)) :|: C >= 2 f510(A, B, C) -> Com_1(f510(A + C, B, C - 1)) :|: C >= 1 f518(A, B, C) -> Com_1(f518(A + C, B, C - 1)) :|: C >= 1 f524(A, B, C) -> Com_1(f524(A + C, B, C - 1)) :|: C >= 0 f530(A, B, C) -> Com_1(f530(A + C, B, C - 1)) :|: C >= 1 f536(A, B, C) -> Com_1(f536(A + C, B, C - 1)) :|: C >= 0 f544(A, B, C) -> Com_1(f544(A + C, B, C - 1)) :|: C >= 0 f550(A, B, C) -> Com_1(f550(A + C, B, C - 1)) :|: C + 1 >= 0 f556(A, B, C) -> Com_1(f556(A + C, B, C - 1)) :|: C >= 0 f562(A, B, C) -> Com_1(f562(A + C, B, C - 1)) :|: C + 1 >= 0 f570(A, B, C) -> Com_1(f570(A + C, B, C - 1)) :|: C + 1 >= 0 f576(A, B, C) -> Com_1(f576(A + C, B, C - 1)) :|: C + 2 >= 0 f582(A, B, C) -> Com_1(f582(A + C, B, C - 1)) :|: C + 1 >= 0 f588(A, B, C) -> Com_1(f588(A + C, B, C - 1)) :|: C + 2 >= 0 f596(A, B, C) -> Com_1(f596(A + C, B, C - 1)) :|: C + 2 >= 0 f602(A, B, C) -> Com_1(f602(A + C, B, C - 1)) :|: C + 3 >= 0 f608(A, B, C) -> Com_1(f608(A + C, B, C - 1)) :|: C + 2 >= 0 f614(A, B, C) -> Com_1(f614(A + C, B, C - 1)) :|: C + 3 >= 0 f622(A, B, C) -> Com_1(f622(A + C, B, C - 1)) :|: C + 4 >= 0 f628(A, B, C) -> Com_1(f628(A + C, B, C - 1)) :|: C + 5 >= 0 f634(A, B, C) -> Com_1(f634(A + C, B, C - 1)) :|: C + 4 >= 0 f640(A, B, C) -> Com_1(f640(A + C, B, C - 1)) :|: C + 5 >= 0
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