Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Complexity_C_Integer 2019-03-21 04.38 pair #429989068
details
property
value
status
complete
benchmark
svcomp_java_AG313.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
1.35626 seconds
cpu usage
2.38431
user time
2.19102
system time
0.193292
max virtual memory
1.833918E7
max residence set size
182476.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
2.18/1.32 WORST_CASE(?, O(n^1)) 2.18/1.33 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.18/1.33 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.18/1.33 2.18/1.33 2.18/1.33 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 2.18/1.33 2.18/1.33 (0) CpxIntTrs 2.18/1.33 (1) Koat Proof [FINISHED, 76 ms] 2.18/1.33 (2) BOUNDS(1, n^1) 2.18/1.33 2.18/1.33 2.18/1.33 ---------------------------------------- 2.18/1.33 2.18/1.33 (0) 2.18/1.33 Obligation: 2.18/1.33 Complexity Int TRS consisting of the following rules: 2.18/1.33 eval_foo_start(v_.01, v_i, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.01, v_i, v_x, v_y)) :|: TRUE 2.18/1.33 eval_foo_bb0_in(v_.01, v_i, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_i, v_x, v_y)) :|: v_x < 0 2.18/1.33 eval_foo_bb0_in(v_.01, v_i, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_i, v_x, v_y)) :|: v_x > 0 2.18/1.33 eval_foo_bb0_in(v_.01, v_i, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.01, v_i, v_x, v_y)) :|: v_x >= 0 && v_x <= 0 2.18/1.33 eval_foo_bb1_in(v_.01, v_i, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.01, v_i, v_x, v_y)) :|: v_.01 > 0 && v_y > 0 2.18/1.33 eval_foo_bb1_in(v_.01, v_i, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.01, v_i, v_x, v_y)) :|: v_.01 <= 0 2.18/1.33 eval_foo_bb1_in(v_.01, v_i, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.01, v_i, v_x, v_y)) :|: v_y <= 0 2.18/1.33 eval_foo_bb2_in(v_.01, v_i, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.01 - v_y, v_i, v_x, v_y)) :|: TRUE 2.18/1.33 eval_foo_bb3_in(v_.01, v_i, v_x, v_y) -> Com_1(eval_foo_stop(v_.01, v_i, v_x, v_y)) :|: TRUE 2.18/1.33 2.18/1.33 The start-symbols are:[eval_foo_start_4] 2.18/1.33 2.18/1.33 2.18/1.33 ---------------------------------------- 2.18/1.33 2.18/1.33 (1) Koat Proof (FINISHED) 2.18/1.33 YES(?, 2*ar_0 + 10) 2.18/1.33 2.18/1.33 2.18/1.33 2.18/1.33 Initial complexity problem: 2.18/1.33 2.18/1.33 1: T: 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2)) 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0, ar_0, ar_2)) [ 0 >= ar_0 + 1 ] 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0, ar_0, ar_2)) [ ar_0 >= 1 ] 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2)) [ ar_0 = 0 ] 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2)) [ ar_1 >= 1 /\ ar_2 >= 1 ] 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2)) [ 0 >= ar_1 ] 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2)) [ 0 >= ar_2 ] 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0, ar_1 - ar_2, ar_2)) 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2) -> Com_1(evalfoostop(ar_0, ar_1, ar_2)) 2.18/1.33 2.18/1.33 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2) -> Com_1(evalfoostart(ar_0, ar_1, ar_2)) [ 0 <= 0 ] 2.18/1.33 2.18/1.33 start location: koat_start 2.18/1.33 2.18/1.33 leaf cost: 0 2.18/1.33 2.18/1.33 2.18/1.33 2.18/1.33 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.18/1.33 2.18/1.33 2: T: 2.18/1.33 2.18/1.33 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2)) 2.18/1.33 2.18/1.33 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0, ar_0, ar_2)) [ 0 >= ar_0 + 1 ] 2.18/1.33 2.18/1.33 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0, ar_0, ar_2)) [ ar_0 >= 1 ] 2.18/1.33 2.18/1.33 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2)) [ ar_0 = 0 ] 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2)) [ ar_1 >= 1 /\ ar_2 >= 1 ] 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2)) [ 0 >= ar_1 ] 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2)) [ 0 >= ar_2 ] 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0, ar_1 - ar_2, ar_2)) 2.18/1.33 2.18/1.33 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2) -> Com_1(evalfoostop(ar_0, ar_1, ar_2)) 2.18/1.33 2.18/1.33 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2) -> Com_1(evalfoostart(ar_0, ar_1, ar_2)) [ 0 <= 0 ] 2.18/1.33 2.18/1.33 start location: koat_start 2.18/1.33 2.18/1.33 leaf cost: 0 2.18/1.33 2.18/1.33 2.18/1.33 2.18/1.33 A polynomial rank function with 2.18/1.33 2.18/1.33 Pol(evalfoostart) = 2
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Complexity_C_Integer 2019-03-21 04.38