Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Compl Integ Trans Syste 26843 pair #381744705
details
property
value
status
complete
benchmark
textbook_ex1.c.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
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.95965194702 seconds
cpu usage
4.147820538
max memory
2.74161664E8
stage attributes
key
value
output-size
13244
starexec-result
WORST_CASE(Omega(n^1), O(n^1))
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^1)) proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 26 ms] (2) BOUNDS(1, n^1) (3) Loat Proof [FINISHED, 319 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_abc_start(v_a, v_b, v_i_0) -> Com_1(eval_abc_bb0_in(v_a, v_b, v_i_0)) :|: TRUE eval_abc_bb0_in(v_a, v_b, v_i_0) -> Com_1(eval_abc_0(v_a, v_b, v_i_0)) :|: TRUE eval_abc_0(v_a, v_b, v_i_0) -> Com_1(eval_abc_1(v_a, v_b, v_i_0)) :|: TRUE eval_abc_1(v_a, v_b, v_i_0) -> Com_1(eval_abc_2(v_a, v_b, v_i_0)) :|: TRUE eval_abc_2(v_a, v_b, v_i_0) -> Com_1(eval_abc_3(v_a, v_b, v_i_0)) :|: TRUE eval_abc_3(v_a, v_b, v_i_0) -> Com_1(eval_abc_4(v_a, v_b, v_i_0)) :|: TRUE eval_abc_4(v_a, v_b, v_i_0) -> Com_1(eval_abc_bb1_in(v_a, v_b, v_a)) :|: TRUE eval_abc_bb1_in(v_a, v_b, v_i_0) -> Com_1(eval_abc_bb2_in(v_a, v_b, v_i_0)) :|: v_i_0 <= v_b eval_abc_bb1_in(v_a, v_b, v_i_0) -> Com_1(eval_abc_bb3_in(v_a, v_b, v_i_0)) :|: v_i_0 > v_b eval_abc_bb2_in(v_a, v_b, v_i_0) -> Com_1(eval_abc_bb1_in(v_a, v_b, v_i_0 + 1)) :|: TRUE eval_abc_bb3_in(v_a, v_b, v_i_0) -> Com_1(eval_abc_stop(v_a, v_b, v_i_0)) :|: TRUE The start-symbols are:[eval_abc_start_3] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 2*ar_1 + 2*ar_2 + 13) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalabcstart(ar_0, ar_1, ar_2) -> Com_1(evalabcbb0in(ar_0, ar_1, ar_2)) (Comp: ?, Cost: 1) evalabcbb0in(ar_0, ar_1, ar_2) -> Com_1(evalabc0(ar_0, ar_1, ar_2)) (Comp: ?, Cost: 1) evalabc0(ar_0, ar_1, ar_2) -> Com_1(evalabc1(ar_0, ar_1, ar_2)) (Comp: ?, Cost: 1) evalabc1(ar_0, ar_1, ar_2) -> Com_1(evalabc2(ar_0, ar_1, ar_2)) (Comp: ?, Cost: 1) evalabc2(ar_0, ar_1, ar_2) -> Com_1(evalabc3(ar_0, ar_1, ar_2)) (Comp: ?, Cost: 1) evalabc3(ar_0, ar_1, ar_2) -> Com_1(evalabc4(ar_0, ar_1, ar_2)) (Comp: ?, Cost: 1) evalabc4(ar_0, ar_1, ar_2) -> Com_1(evalabcbb1in(ar_1, ar_1, ar_2)) (Comp: ?, Cost: 1) evalabcbb1in(ar_0, ar_1, ar_2) -> Com_1(evalabcbb2in(ar_0, ar_1, ar_2)) [ ar_2 >= ar_0 ] (Comp: ?, Cost: 1) evalabcbb1in(ar_0, ar_1, ar_2) -> Com_1(evalabcbb3in(ar_0, ar_1, ar_2)) [ ar_0 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalabcbb2in(ar_0, ar_1, ar_2) -> Com_1(evalabcbb1in(ar_0 + 1, ar_1, ar_2)) (Comp: ?, Cost: 1) evalabcbb3in(ar_0, ar_1, ar_2) -> Com_1(evalabcstop(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2) -> Com_1(evalabcstart(ar_0, ar_1, ar_2)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evalabcstart(ar_0, ar_1, ar_2) -> Com_1(evalabcbb0in(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 1) evalabcbb0in(ar_0, ar_1, ar_2) -> Com_1(evalabc0(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 1) evalabc0(ar_0, ar_1, ar_2) -> Com_1(evalabc1(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 1) evalabc1(ar_0, ar_1, ar_2) -> Com_1(evalabc2(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 1) evalabc2(ar_0, ar_1, ar_2) -> Com_1(evalabc3(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 1) evalabc3(ar_0, ar_1, ar_2) -> Com_1(evalabc4(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 1) evalabc4(ar_0, ar_1, ar_2) -> Com_1(evalabcbb1in(ar_1, ar_1, ar_2)) (Comp: ?, Cost: 1) evalabcbb1in(ar_0, ar_1, ar_2) -> Com_1(evalabcbb2in(ar_0, ar_1, ar_2)) [ ar_2 >= ar_0 ]
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Compl Integ Trans Syste 26843