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Compl Integ Trans Syste 26843 pair #381744821
details
property
value
status
complete
benchmark
counterex1a.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n010.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
19.9249720573 seconds
cpu usage
32.061486796
max memory
5.9867136E8
stage attributes
key
value
output-size
22424
starexec-result
WORST_CASE(Omega(n^1), ?)
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, INF). (0) CpxIntTrs (1) Loat Proof [FINISHED, 2403 ms] (2) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_counterex1a_start(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb0_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_bb0_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_0(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_0(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_1(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_1(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_2(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_2(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_3(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_3(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_4(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_4(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_5(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_5(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_6(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_6(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_7(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_7(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_8(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_8(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_9(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_9(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(v_b, v_x, v_y, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_bb1_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb2_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v__01 >= 0 && 0 <= v__04 && v__04 <= v_n eval_counterex1a_bb1_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a__critedge_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v__01 < 0 eval_counterex1a_bb1_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a__critedge_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: 0 > v__04 eval_counterex1a_bb1_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a__critedge_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v__04 > v_n eval_counterex1a_bb2_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb3_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v__0 >= 0 && v__0 <= 0 eval_counterex1a_bb2_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb4_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v__0 < 0 eval_counterex1a_bb2_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb4_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v__0 > 0 eval_counterex1a_bb3_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_11(v__0, v__01, v__04, v__04 + 1, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_11(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_12(v__0, v__01, v__04, v_4, nondef_0, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_12(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(1, v__01, v_4, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_5 > 0 eval_counterex1a_12(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(v__0, v__01, v_4, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_5 <= 0 eval_counterex1a_bb4_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_15(v__0, v__01, v__04, v_4, v_5, v__04 - 1, v_8, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_15(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_16(v__0, v__01, v__04, v_4, v_5, v_7, nondef_1, v_b, v_n, v_x, v_y)) :|: TRUE eval_counterex1a_16(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(0, v__01 - 1, v_7, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 > 0 eval_counterex1a_16(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(v__0, v__01 - 1, v_7, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 > 0 && v_8 <= 0 eval_counterex1a_16(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(0, v__01, v_7, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 <= 0 && v_8 > 0 eval_counterex1a_16(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(v__0, v__01, v_7, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 <= 0 eval_counterex1a__critedge_in(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_stop(v__0, v__01, v__04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE The start-symbols are:[eval_counterex1a_start_11] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: evalcounterex1astart 0: evalcounterex1astart -> evalcounterex1abb0in : [], cost: 1 1: evalcounterex1abb0in -> evalcounterex1a0 : [], cost: 1 2: evalcounterex1a0 -> evalcounterex1a1 : [], cost: 1 3: evalcounterex1a1 -> evalcounterex1a2 : [], cost: 1 4: evalcounterex1a2 -> evalcounterex1a3 : [], cost: 1 5: evalcounterex1a3 -> evalcounterex1a4 : [], cost: 1 6: evalcounterex1a4 -> evalcounterex1a5 : [], cost: 1 7: evalcounterex1a5 -> evalcounterex1a6 : [], cost: 1 8: evalcounterex1a6 -> evalcounterex1a7 : [], cost: 1 9: evalcounterex1a7 -> evalcounterex1a8 : [], cost: 1 10: evalcounterex1a8 -> evalcounterex1a9 : [], cost: 1 11: evalcounterex1a9 -> evalcounterex1abb1in : A'=B, C'=D, E'=F, [], cost: 1 12: evalcounterex1abb1in -> evalcounterex1abb2in : [ C>=0 && E>=0 && G>=E ], cost: 1 13: evalcounterex1abb1in -> evalcounterex1acritedgein : [ 0>=1+C ], cost: 1 14: evalcounterex1abb1in -> evalcounterex1acritedgein : [ 0>=1+E ], cost: 1
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