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Compl Integ Trans Syste 26843 pair #381744256
details
property
value
status
complete
benchmark
easy1.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.71116399765 seconds
cpu usage
3.809548472
max memory
2.88428032E8
stage attributes
key
value
output-size
10520
starexec-result
WORST_CASE(?, O(1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 19 ms] (2) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_easy1_start(v_0, v_x_0) -> Com_1(eval_easy1_bb0_in(v_0, v_x_0)) :|: TRUE eval_easy1_bb0_in(v_0, v_x_0) -> Com_1(eval_easy1_1(nondef_0, v_x_0)) :|: TRUE eval_easy1_1(v_0, v_x_0) -> Com_1(eval_easy1_2(v_0, v_x_0)) :|: TRUE eval_easy1_2(v_0, v_x_0) -> Com_1(eval_easy1_3(v_0, v_x_0)) :|: TRUE eval_easy1_3(v_0, v_x_0) -> Com_1(eval_easy1_4(v_0, v_x_0)) :|: TRUE eval_easy1_4(v_0, v_x_0) -> Com_1(eval_easy1_5(v_0, v_x_0)) :|: TRUE eval_easy1_5(v_0, v_x_0) -> Com_1(eval_easy1_6(v_0, v_x_0)) :|: TRUE eval_easy1_6(v_0, v_x_0) -> Com_1(eval_easy1_bb1_in(v_0, 0)) :|: TRUE eval_easy1_bb1_in(v_0, v_x_0) -> Com_1(eval_easy1_bb2_in(v_0, v_x_0)) :|: v_x_0 < 40 eval_easy1_bb1_in(v_0, v_x_0) -> Com_1(eval_easy1_bb3_in(v_0, v_x_0)) :|: v_x_0 >= 40 eval_easy1_bb2_in(v_0, v_x_0) -> Com_1(eval_easy1_bb1_in(v_0, v_x_0 + 1)) :|: v_0 >= 0 && v_0 <= 0 eval_easy1_bb2_in(v_0, v_x_0) -> Com_1(eval_easy1_bb1_in(v_0, v_x_0 + 2)) :|: v_0 < 0 eval_easy1_bb2_in(v_0, v_x_0) -> Com_1(eval_easy1_bb1_in(v_0, v_x_0 + 2)) :|: v_0 > 0 eval_easy1_bb3_in(v_0, v_x_0) -> Com_1(eval_easy1_stop(v_0, v_x_0)) :|: TRUE The start-symbols are:[eval_easy1_start_2] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 172) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evaleasy1start(ar_0, ar_1) -> Com_1(evaleasy1bb0in(ar_0, ar_1)) (Comp: ?, Cost: 1) evaleasy1bb0in(ar_0, ar_1) -> Com_1(evaleasy11(c, ar_1)) (Comp: ?, Cost: 1) evaleasy11(ar_0, ar_1) -> Com_1(evaleasy12(ar_0, ar_1)) (Comp: ?, Cost: 1) evaleasy12(ar_0, ar_1) -> Com_1(evaleasy13(ar_0, ar_1)) (Comp: ?, Cost: 1) evaleasy13(ar_0, ar_1) -> Com_1(evaleasy14(ar_0, ar_1)) (Comp: ?, Cost: 1) evaleasy14(ar_0, ar_1) -> Com_1(evaleasy15(ar_0, ar_1)) (Comp: ?, Cost: 1) evaleasy15(ar_0, ar_1) -> Com_1(evaleasy16(ar_0, ar_1)) (Comp: ?, Cost: 1) evaleasy16(ar_0, ar_1) -> Com_1(evaleasy1bb1in(ar_0, 0)) (Comp: ?, Cost: 1) evaleasy1bb1in(ar_0, ar_1) -> Com_1(evaleasy1bb2in(ar_0, ar_1)) [ 39 >= ar_1 ] (Comp: ?, Cost: 1) evaleasy1bb1in(ar_0, ar_1) -> Com_1(evaleasy1bb3in(ar_0, ar_1)) [ ar_1 >= 40 ] (Comp: ?, Cost: 1) evaleasy1bb2in(ar_0, ar_1) -> Com_1(evaleasy1bb1in(ar_0, ar_1 + 1)) [ ar_0 = 0 ] (Comp: ?, Cost: 1) evaleasy1bb2in(ar_0, ar_1) -> Com_1(evaleasy1bb1in(ar_0, ar_1 + 2)) [ 0 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evaleasy1bb2in(ar_0, ar_1) -> Com_1(evaleasy1bb1in(ar_0, ar_1 + 2)) [ ar_0 >= 1 ] (Comp: ?, Cost: 1) evaleasy1bb3in(ar_0, ar_1) -> Com_1(evaleasy1stop(ar_0, ar_1)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1) -> Com_1(evaleasy1start(ar_0, ar_1)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evaleasy1start(ar_0, ar_1) -> Com_1(evaleasy1bb0in(ar_0, ar_1)) (Comp: 1, Cost: 1) evaleasy1bb0in(ar_0, ar_1) -> Com_1(evaleasy11(c, ar_1)) (Comp: 1, Cost: 1) evaleasy11(ar_0, ar_1) -> Com_1(evaleasy12(ar_0, ar_1)) (Comp: 1, Cost: 1) evaleasy12(ar_0, ar_1) -> Com_1(evaleasy13(ar_0, ar_1))
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