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Compl C Integ Progr 85445 pair #381746344
details
property
value
status
complete
benchmark
AliasDarteFeautrierGonnord-SAS2010-random2d_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n085.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
4.65580701828 seconds
cpu usage
5.534491632
max memory
3.8023168E8
stage attributes
key
value
output-size
102307
starexec-result
WORST_CASE(?, O(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(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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 2852 ms] (2) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_foo_start(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE eval_foo_bb0_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(0, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE eval_foo_bb1_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_.05 < 10 eval_foo_bb1_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_.05 >= 10 eval_foo_bb2_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_1(v_.05, v_.05 + 1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE eval_foo_1(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y), eval_foo_2(v_.05, v_1, nondef.0, v_N, v_i, v_r, v_x, v_y)) :|: TRUE eval_foo_2(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 0 && v_2 <= 3 eval_foo_2(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 0 eval_foo_2(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 > 3 eval_foo_bb3_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NodeBlock14_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE eval_foo_NodeBlock14_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NodeBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 2 eval_foo_NodeBlock14_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NodeBlock12_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 2 eval_foo_NodeBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_LeafBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 1 eval_foo_NodeBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_LeafBlock6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 1 eval_foo_LeafBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 0 && v_2 <= 0 eval_foo_LeafBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 0 eval_foo_LeafBlock_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 > 0 eval_foo_bb4_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE eval_foo_LeafBlock6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 1 && v_2 <= 1 eval_foo_LeafBlock6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 1 eval_foo_LeafBlock6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 > 1 eval_foo_bb5_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE eval_foo_NodeBlock12_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_LeafBlock8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 3 eval_foo_NodeBlock12_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_LeafBlock10_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 3 eval_foo_LeafBlock8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 2 && v_2 <= 2 eval_foo_LeafBlock8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 2 eval_foo_LeafBlock8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 > 2 eval_foo_bb6_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE eval_foo_LeafBlock10_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb7_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 >= 3 && v_2 <= 3 eval_foo_LeafBlock10_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 < 3 eval_foo_LeafBlock10_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: v_2 > 3 eval_foo_bb7_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE eval_foo_NewDefault_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_1, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE eval_foo_bb8_in(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y) -> Com_1(eval_foo_stop(v_.05, v_1, v_2, v_N, v_i, v_r, v_x, v_y)) :|: TRUE The start-symbols are:[eval_foo_start_8] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 32965) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ 9 >= ar_0 ] (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 10 ] (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoo1(ar_0, ar_0 + 1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalfoo10(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalfoo11(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoo2(ar_0, ar_1, ar_3, ar_3)) (Comp: ?, Cost: 1) evalfoo1(ar_0, ar_1, ar_2, ar_3) -> Com_2(evalfoo10(ar_0, ar_1, ar_2, e), evalfoo11(ar_0, ar_1, ar_2, e)) (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ 3 >= ar_2 ] (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_2, ar_3)) [ ar_2 >= 4 ] (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfooNodeBlock14in(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalfooNodeBlock14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfooNodeBlockin(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_2 ] (Comp: ?, Cost: 1) evalfooNodeBlock14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfooNodeBlock12in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 2 ]
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