Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Complexity_C_Integer 2019-03-21 04.38 pair #429989296
details
property
value
status
complete
benchmark
ChawdharyCookGulwaniSagivYang-ESOP2008-aaron6_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n128.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
5.02546 seconds
cpu usage
5.94708
user time
5.48203
system time
0.465047
max virtual memory
1.8787928E7
max residence set size
331480.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
5.80/4.56 WORST_CASE(?, O(n^1)) 5.80/4.57 proof of /export/starexec/sandbox/output/output_files/bench.koat 5.80/4.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.80/4.57 5.80/4.57 5.80/4.57 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 5.80/4.57 5.80/4.57 (0) CpxIntTrs 5.80/4.57 (1) Koat Proof [FINISHED, 3286 ms] 5.80/4.57 (2) BOUNDS(1, n^1) 5.80/4.57 5.80/4.57 5.80/4.57 ---------------------------------------- 5.80/4.57 5.80/4.57 (0) 5.80/4.57 Obligation: 5.80/4.57 Complexity Int TRS consisting of the following rules: 5.80/4.57 eval_foo_start(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: TRUE 5.80/4.57 eval_foo_bb0_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_tx, v_y, v_ty, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_x + v_y >= 0 5.80/4.57 eval_foo_bb0_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_x + v_y < 0 5.80/4.58 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_.0 <= v_n 5.80/4.58 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_.0 > v_n 5.80/4.58 eval_foo_bb2_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_.0 >= 2 * v_.01 + v_.03 5.80/4.58 eval_foo_bb2_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_.0 < 2 * v_.01 + v_.03 5.80/4.58 eval_foo_bb3_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_.03 >= v_.05 + 1 5.80/4.58 eval_foo_bb3_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_.03 < v_.05 + 1 5.80/4.58 eval_foo_bb4_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_.0 >= v_.01 + 1 5.80/4.58 eval_foo_bb4_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_.0 < v_.01 + 1 5.80/4.58 eval_foo_bb5_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_9(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: TRUE 5.80/4.58 eval_foo_9(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y), eval_foo_10(v_.0, v_.01, v_.03, v_.05, nondef.0, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: TRUE 5.80/4.58 eval_foo_10(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y), eval_foo_11(v_.0, v_.01, v_.03, v_.05, v_10, nondef.1, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: TRUE 5.80/4.58 eval_foo_11(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_10 < 0 5.80/4.58 eval_foo_11(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_10 > 0 5.80/4.58 eval_foo_11(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_12, v_.0, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: v_10 >= 0 && v_10 <= 0 5.80/4.58 eval_foo_bb6_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_12(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: TRUE 5.80/4.58 eval_foo_12(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y), eval_foo_13(v_.0, v_.01, v_.03, v_.05, v_10, v_12, nondef.2, v_n, v_tx, v_ty, v_x, v_y)) :|: TRUE 5.80/4.58 eval_foo_13(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_12, v_.0, v_13, v_.03, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: TRUE 5.80/4.58 eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.03, v_.05, v_10, v_12, v_13, v_n, v_tx, v_ty, v_x, v_y)) :|: TRUE 5.80/4.58 5.80/4.58 The start-symbols are:[eval_foo_start_12] 5.80/4.58 5.80/4.58 5.80/4.58 ---------------------------------------- 5.80/4.58 5.80/4.58 (1) Koat Proof (FINISHED) 5.80/4.58 YES(?, 308*ar_4 + 308*ar_8 + 16) 5.80/4.58 5.80/4.58 5.80/4.58 5.80/4.58 Initial complexity problem: 5.80/4.58 5.80/4.58 1: T: 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_0, ar_4, ar_4, ar_1, ar_7, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_0 + ar_1 >= 0 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ 0 >= ar_0 + ar_1 + 1 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_8 >= ar_2 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_2 >= ar_8 + 1 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_2 >= 2*ar_3 + ar_5 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ 2*ar_3 + ar_5 >= ar_2 + 1 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_5 >= ar_6 + 1 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_6 >= ar_5 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_2 >= ar_3 + 1 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_3 >= ar_2 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoo9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo90(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo91(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_10, ar_10, ar_11, ar_12)) 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_2(evalfoo90(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, n, ar_11, ar_12), evalfoo91(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, n, ar_11, ar_12)) 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo100(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo101(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_10, ar_12)) 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_2(evalfoo100(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, n, ar_11, ar_12), evalfoo101(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, n, ar_11, ar_12)) 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ 0 >= ar_9 + 1 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_9 >= 1 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_11, ar_2, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) [ ar_9 = 0 ] 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoo12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo120(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12)) 5.80/4.58 5.80/4.58 (Comp: ?, Cost: 1) evalfoo121(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12) -> Com_1(evalfoo13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_10))
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