Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Complexity_C_Integer 2019-03-21 04.38 pair #429989140
details
property
value
status
complete
benchmark
AliasDarteFeautrierGonnord-SAS2010-loops_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
1.7756 seconds
cpu usage
2.52617
user time
2.30051
system time
0.225659
max virtual memory
1.8467568E7
max residence set size
180264.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^2))
output
2.41/1.73 WORST_CASE(?, O(n^2)) 2.41/1.74 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.41/1.74 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.41/1.74 2.41/1.74 2.41/1.74 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). 2.41/1.74 2.41/1.74 (0) CpxIntTrs 2.41/1.74 (1) Koat Proof [FINISHED, 281 ms] 2.41/1.74 (2) BOUNDS(1, n^2) 2.41/1.74 2.41/1.74 2.41/1.74 ---------------------------------------- 2.41/1.74 2.41/1.74 (0) 2.41/1.74 Obligation: 2.41/1.74 Complexity Int TRS consisting of the following rules: 2.41/1.74 eval_foo_start(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_n, v_x, v_y)) :|: TRUE 2.41/1.74 eval_foo_bb0_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_n, v_.01, v_n, v_x, v_y)) :|: v_n >= 0 2.41/1.74 eval_foo_bb0_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_n, v_x, v_y)) :|: v_n < 0 2.41/1.74 eval_foo_bb1_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_n, v_x, v_y)) :|: v_.0 >= 0 2.41/1.74 eval_foo_bb1_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_n, v_x, v_y)) :|: v_.0 < 0 2.41/1.74 eval_foo_bb2_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, 1, v_n, v_x, v_y)) :|: 1 < v_.0 2.41/1.74 eval_foo_bb2_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_n, v_x, v_y)) :|: 1 >= v_.0 2.41/1.74 eval_foo_bb3_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_n, v_x, v_y)) :|: v_.01 < v_.0 2.41/1.74 eval_foo_bb3_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_n, v_x, v_y)) :|: v_.01 >= v_.0 2.41/1.74 eval_foo_bb4_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, 2 * v_.01, v_n, v_x, v_y)) :|: TRUE 2.41/1.74 eval_foo_bb5_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01, v_n, v_x, v_y)) :|: TRUE 2.41/1.74 eval_foo_bb6_in(v_.0, v_.01, v_n, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_n, v_x, v_y)) :|: TRUE 2.41/1.74 2.41/1.74 The start-symbols are:[eval_foo_start_5] 2.41/1.74 2.41/1.74 2.41/1.74 ---------------------------------------- 2.41/1.74 2.41/1.74 (1) Koat Proof (FINISHED) 2.41/1.74 YES(?, 50*ar_0 + 8*ar_0^2 + 49) 2.41/1.74 2.41/1.74 2.41/1.74 2.41/1.74 Initial complexity problem: 2.41/1.74 2.41/1.74 1: T: 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2)) 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0, ar_0, ar_2)) [ ar_0 >= 0 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2)) [ 0 >= ar_0 + 1 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2)) [ ar_1 >= 0 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2)) [ 0 >= ar_1 + 1 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, 1)) [ ar_1 >= 2 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2)) [ 1 >= ar_1 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2)) [ ar_1 >= ar_2 + 1 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2)) [ ar_2 >= ar_1 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, 2*ar_2)) 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0, ar_1 - 1, ar_2)) 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb6in(ar_0, ar_1, ar_2) -> Com_1(evalfoostop(ar_0, ar_1, ar_2)) 2.41/1.74 2.41/1.74 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2) -> Com_1(evalfoostart(ar_0, ar_1, ar_2)) [ 0 <= 0 ] 2.41/1.74 2.41/1.74 start location: koat_start 2.41/1.74 2.41/1.74 leaf cost: 0 2.41/1.74 2.41/1.74 2.41/1.74 2.41/1.74 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.41/1.74 2.41/1.74 2: T: 2.41/1.74 2.41/1.74 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2)) 2.41/1.74 2.41/1.74 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb1in(ar_0, ar_0, ar_2)) [ ar_0 >= 0 ] 2.41/1.74 2.41/1.74 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2)) [ 0 >= ar_0 + 1 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2)) [ ar_1 >= 0 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2)) [ 0 >= ar_1 + 1 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, 1)) [ ar_1 >= 2 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2)) [ 1 >= ar_1 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2)) [ ar_1 >= ar_2 + 1 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2)) [ ar_2 >= ar_1 ] 2.41/1.74 2.41/1.74 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2) -> Com_1(evalfoobb3in(ar_0, ar_1, 2*ar_2)) 2.41/1.74
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