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Complexity_C_Integer 2019-03-21 04.38 pair #429989176
details
property
value
status
complete
benchmark
svcomp_b.15.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n087.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
1.46202 seconds
cpu usage
2.44332
user time
2.24536
system time
0.197961
max virtual memory
1.8273644E7
max residence set size
186576.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
2.19/1.42 WORST_CASE(?, O(n^1)) 2.19/1.43 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.19/1.43 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.19/1.43 2.19/1.43 2.19/1.43 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 2.19/1.43 2.19/1.43 (0) CpxIntTrs 2.19/1.43 (1) Koat Proof [FINISHED, 179 ms] 2.19/1.43 (2) BOUNDS(1, n^1) 2.19/1.43 2.19/1.43 2.19/1.43 ---------------------------------------- 2.19/1.43 2.19/1.43 (0) 2.19/1.43 Obligation: 2.19/1.43 Complexity Int TRS consisting of the following rules: 2.19/1.43 eval_foo_start(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb0_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: TRUE 2.19/1.43 eval_foo_bb0_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: TRUE 2.19/1.43 eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb2_in(v_.01, v_.03, v_.01, v_.03, v_c, v_x, v_y, v_z)) :|: v_.01 >= v_.03 && v_.01 <= v_.03 && v_.01 > v_z 2.19/1.43 eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: v_.01 < v_.03 2.19/1.43 eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: v_.01 > v_.03 2.19/1.43 eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: v_.01 <= v_z 2.19/1.43 eval_foo_bb2_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb3_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: v_.14 > v_z 2.19/1.43 eval_foo_bb2_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_.12, v_.14, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: v_.14 <= v_z 2.19/1.43 eval_foo_bb3_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_bb2_in(v_.01, v_.03, v_.12 - 1, v_.14 - 1, v_c, v_x, v_y, v_z)) :|: TRUE 2.19/1.43 eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z) -> Com_1(eval_foo_stop(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y, v_z)) :|: TRUE 2.19/1.43 2.19/1.43 The start-symbols are:[eval_foo_start_8] 2.19/1.43 2.19/1.43 2.19/1.43 ---------------------------------------- 2.19/1.43 2.19/1.43 (1) Koat Proof (FINISHED) 2.19/1.43 YES(?, 2*ar_3 + 2*ar_4 + 12) 2.19/1.43 2.19/1.43 2.19/1.43 2.19/1.43 Initial complexity problem: 2.19/1.43 2.19/1.43 1: T: 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6)) 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\ ar_0 = ar_2 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1)) 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.19/1.43 2.19/1.43 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.19/1.43 2.19/1.43 start location: koat_start 2.19/1.43 2.19/1.43 leaf cost: 0 2.19/1.43 2.19/1.43 2.19/1.43 2.19/1.43 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.19/1.43 2.19/1.43 2: T: 2.19/1.43 2.19/1.43 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.19/1.43 2.19/1.43 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6)) 2.19/1.43 2.19/1.43 (Comp: 1, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_2)) [ ar_2 >= ar_4 + 1 /\ ar_0 = ar_2 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 + 1 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_0 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= ar_4 + 1 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_5, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= ar_6 ] 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6 - 1)) 2.19/1.43 2.19/1.43 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.19/1.43 2.19/1.43 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.19/1.43 2.19/1.43 start location: koat_start 2.19/1.43 2.19/1.43 leaf cost: 0 2.19/1.43
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