details

property	value
status	complete
benchmark	t15.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n085.star.cs.uiowa.edu
space	C4B_examples

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	1.52736496925 seconds
cpu usage	2.542546039
max memory	2.63217152E8

stage attributes

key	value
output-size	35119
starexec-result	WORST_CASE(?, O(n^1))

output

/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/output/output_files/bench.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 386 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_t15_start(v_.0, v_3, v_x, v_y, v_z.0) -> Com_1(eval_t15_bb0_in(v_.0, v_3, v_x, v_y, v_z.0)) :|: TRUE eval_t15_bb0_in(v_.0, v_3, v_x, v_y, v_z.0) -> Com_1(eval_t15_bb5_in(v_.0, v_3, v_x, v_y, v_z.0)) :|: v_y < 0 eval_t15_bb0_in(v_.0, v_3, v_x, v_y, v_z.0) -> Com_1(eval_t15_bb1_in(v_x, v_3, v_x, v_y, v_z.0)) :|: v_y >= 0 eval_t15_bb1_in(v_.0, v_3, v_x, v_y, v_z.0) -> Com_1(eval_t15_bb2_in(v_.0, v_3, v_x, v_y, v_z.0)) :|: v_.0 > v_y eval_t15_bb1_in(v_.0, v_3, v_x, v_y, v_z.0) -> Com_1(eval_t15_bb5_in(v_.0, v_3, v_x, v_y, v_z.0)) :|: v_.0 <= v_y eval_t15_bb2_in(v_.0, v_3, v_x, v_y, v_z.0) -> Com_1(eval_t15_bb3_in(v_.0, v_.0 - v_y - 1, v_x, v_y, v_y)) :|: TRUE eval_t15_bb3_in(v_.0, v_3, v_x, v_y, v_z.0) -> Com_1(eval_t15_bb4_in(v_.0, v_3, v_x, v_y, v_z.0)) :|: v_z.0 > 0 eval_t15_bb3_in(v_.0, v_3, v_x, v_y, v_z.0) -> Com_1(eval_t15_bb1_in(v_3, v_3, v_x, v_y, v_z.0)) :|: v_z.0 <= 0 eval_t15_bb4_in(v_.0, v_3, v_x, v_y, v_z.0) -> Com_1(eval_t15_bb3_in(v_.0, v_3, v_x, v_y, v_z.0 - 1)) :|: TRUE eval_t15_bb5_in(v_.0, v_3, v_x, v_y, v_z.0) -> Com_1(eval_t15_stop(v_.0, v_3, v_x, v_y, v_z.0)) :|: TRUE The start-symbols are:[eval_t15_start_5] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 10*ar_0 + 15*ar_2 + 7) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalt15start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalt15bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalt15bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ] (Comp: ?, Cost: 1) evalt15bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalt15bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) evalt15bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, ar_0)) (Comp: ?, Cost: 1) evalt15bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= 1 ] (Comp: ?, Cost: 1) evalt15bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ 0 >= ar_4 ] (Comp: ?, Cost: 1) evalt15bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) (Comp: ?, Cost: 1) evalt15bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15stop(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 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) evalt15start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: 1, Cost: 1) evalt15bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ] (Comp: 1, Cost: 1) evalt15bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ] (Comp: ?, Cost: 1) evalt15bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalt15bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) evalt15bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, ar_0)) (Comp: ?, Cost: 1) evalt15bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= 1 ] (Comp: ?, Cost: 1) evalt15bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ 0 >= ar_4 ] (Comp: ?, Cost: 1) evalt15bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) (Comp: ?, Cost: 1) evalt15bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalt15stop(ar_0, ar_1, ar_2, ar_3, ar_4)) popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Compl C Integ Progr 85445