Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Compl Integ Trans Syste 26843 pair #381744757
details
property
value
status
complete
benchmark
complex.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n103.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
3.46388292313 seconds
cpu usage
8.726766778
max memory
4.51190784E8
stage attributes
key
value
output-size
96998
starexec-result
WORST_CASE(Omega(n^1), O(n^1))
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^1), O(n^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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 986 ms] (2) BOUNDS(1, n^1) (3) Loat Proof [FINISHED, 1791 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_complex_start(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb0_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_bb0_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_0(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_0(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_1(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_1(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_2(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_2(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_3(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_3(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_4(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_4(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_5(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_5(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_6(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_6(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb1_in(v_a, v_b, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_bb1_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__0, v__01, v_10, v_9, v_a, v_b)) :|: v__0 < 30 eval_complex_bb1_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb5_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: v__0 >= 30 eval_complex_bb2_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: v__12 < v__1 eval_complex_bb2_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb4_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: v__12 >= v__1 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 10, v__12 + 7, v_10, v_9, v_a, v_b)) :|: v__12 > 5 && v__12 + 7 >= 10 && v__12 + 7 <= 12 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 1, v__12 + 7, v_10, v_9, v_a, v_b)) :|: v__12 > 5 && v__12 + 7 < 10 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 1, v__12 + 7, v_10, v_9, v_a, v_b)) :|: v__12 > 5 && v__12 + 7 > 12 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 10, v__12 + 2, v_10, v_9, v_a, v_b)) :|: v__12 <= 5 && v__12 + 2 >= 10 && v__12 + 2 <= 12 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 1, v__12 + 2, v_10, v_9, v_a, v_b)) :|: v__12 <= 5 && v__12 + 2 < 10 eval_complex_bb3_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb2_in(v__0, v__01, v__1 + 1, v__12 + 2, v_10, v_9, v_a, v_b)) :|: v__12 <= 5 && v__12 + 2 > 12 eval_complex_bb4_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_15(v__0, v__01, v__1, v__12, v_10, v__1 + 2, v_a, v_b)) :|: TRUE eval_complex_15(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_16(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_16(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_17(v__0, v__01, v__1, v__12, v__12 - 10, v_9, v_a, v_b)) :|: TRUE eval_complex_17(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_18(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_18(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_bb1_in(v_9, v_10, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE eval_complex_bb5_in(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b) -> Com_1(eval_complex_stop(v__0, v__01, v__1, v__12, v_10, v_9, v_a, v_b)) :|: TRUE The start-symbols are:[eval_complex_start_8] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 67*ar_1 + 6*ar_3 + 2167) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalcomplex0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalcomplex1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalcomplex2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalcomplex3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalcomplex4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalcomplex5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplex6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalcomplex6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2, ar_6, ar_7)) [ 29 >= ar_0 ] (Comp: ?, Cost: 1) evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 30 ] (Comp: ?, Cost: 1) evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= ar_5 + 1 ] (Comp: ?, Cost: 1) evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 >= ar_4 ] (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 10, ar_5 + 7, ar_6, ar_7)) [ ar_5 >= 6 /\ ar_5 >= 3 /\ 5 >= ar_5 ] (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7, ar_6, ar_7)) [ ar_5 >= 6 /\ 2 >= ar_5 ] (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7, ar_6, ar_7)) [ ar_5 >= 6 ] (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 10, ar_5 + 2, ar_6, ar_7)) [ 5 >= ar_5 /\ ar_5 >= 8 /\ 10 >= ar_5 ] (Comp: ?, Cost: 1) evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2, ar_6, ar_7)) [ 5 >= ar_5 /\ 7 >= ar_5 ]
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Compl Integ Trans Syste 26843