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Compl C Integ Progr 85445 pair #381745905
details
property
value
status
complete
benchmark
sipma91.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n095.star.cs.uiowa.edu
space
WTC_V2
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
3.35722303391 seconds
cpu usage
4.44853465
max memory
3.63876352E8
stage attributes
key
value
output-size
317497
starexec-result
WORST_CASE(?, O(n^1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_c_complexity /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).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, 2054 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_sipma91_start(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb0_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2)) :|: TRUE eval_sipma91_bb0_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb8_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2)) :|: v_x > 100 eval_sipma91_bb0_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb1_in(v_5, v_6, v_x, v_x, v_y1.1, v_y1.2, 1, v_y2.1, v_y2.2)) :|: v_x <= 100 eval_sipma91_bb1_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb2_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2)) :|: v_y1.0 <= 100 eval_sipma91_bb1_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb3_in(v_5, v_6, v_x, v_y1.0, v_y1.0, v_y1.2, v_y2.0, v_y2.0, v_y2.2)) :|: v_y1.0 > 100 eval_sipma91_bb2_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb1_in(v_5, v_6, v_x, v_y1.0 + 11, v_y1.1, v_y1.2, v_y2.0 + 1, v_y2.1, v_y2.2)) :|: TRUE eval_sipma91_bb3_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb4_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2)) :|: v_y2.1 > 1 eval_sipma91_bb3_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb8_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2)) :|: v_y2.1 <= 1 eval_sipma91_bb4_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb3_in(v_5, v_6, v_x, v_y1.0, v_y1.1 - 10, v_y1.2, v_y2.0, v_y2.1 - 1, v_y2.2)) :|: v_y1.1 - 10 > 100 && v_y2.1 - 1 >= 1 && v_y2.1 - 1 <= 1 eval_sipma91_bb4_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb5_in(v_y1.1 - 10, v_y2.1 - 1, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2)) :|: v_y1.1 - 10 <= 100 eval_sipma91_bb4_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb5_in(v_y1.1 - 10, v_y2.1 - 1, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2)) :|: v_y2.1 - 1 < 1 eval_sipma91_bb4_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb5_in(v_y1.1 - 10, v_y2.1 - 1, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2)) :|: v_y2.1 - 1 > 1 eval_sipma91_bb5_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb6_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2)) :|: v_5 > 100 eval_sipma91_bb5_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb7_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_5, v_y2.0, v_y2.1, v_6)) :|: v_5 <= 100 eval_sipma91_bb6_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb7_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_5 - 10, v_y2.0, v_y2.1, v_6 - 1)) :|: TRUE eval_sipma91_bb7_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_bb3_in(v_5, v_6, v_x, v_y1.0, v_y1.2 + 11, v_y1.2, v_y2.0, v_y2.2 + 1, v_y2.2)) :|: TRUE eval_sipma91_bb8_in(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2) -> Com_1(eval_sipma91_stop(v_5, v_6, v_x, v_y1.0, v_y1.1, v_y1.2, v_y2.0, v_y2.1, v_y2.2)) :|: TRUE The start-symbols are:[eval_sipma91_start_9] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 365*ar_0 + 40276) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalsipma91start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsipma91bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_0 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb1in(ar_0, ar_0, 1, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 100 >= ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 100 >= ar_1 ] (Comp: ?, Cost: 1) evalsipma91bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb3in(ar_0, ar_1, ar_2, ar_1, ar_2, ar_5, ar_6, ar_7, ar_8)) [ ar_1 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb1in(ar_0, ar_1 + 11, ar_2 + 1, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsipma91bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_4 >= 2 ] (Comp: ?, Cost: 1) evalsipma91bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 1 >= ar_4 ] (Comp: ?, Cost: 1) evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb3in(ar_0, ar_1, ar_2, ar_3 - 10, ar_4 - 1, ar_5, ar_6, ar_7, ar_8)) [ ar_3 >= 111 /\ ar_4 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 10, ar_4 - 1, ar_7, ar_8)) [ 110 >= ar_3 ] (Comp: ?, Cost: 1) evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 10, ar_4 - 1, ar_7, ar_8)) [ 1 >= ar_4 ] (Comp: ?, Cost: 1) evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 10, ar_4 - 1, ar_7, ar_8)) [ ar_4 >= 3 ] (Comp: ?, Cost: 1) evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_5 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5, ar_6)) [ 100 >= ar_5 ] (Comp: ?, Cost: 1) evalsipma91bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5 - 10, ar_6 - 1)) (Comp: ?, Cost: 1) evalsipma91bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb3in(ar_0, ar_1, ar_2, ar_7 + 11, ar_8 + 1, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsipma91bb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transition from problem 1: evalsipma91bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsipma91bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 10, ar_4 - 1, ar_7, ar_8)) [ 1 >= ar_4 ]
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