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Complexity_C_Integer 2019-03-21 04.38 pair #429989260
details
property
value
status
complete
benchmark
Avery-FLOPS2006-Table1_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n062.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
1.34461 seconds
cpu usage
2.27184
user time
2.08082
system time
0.191017
max virtual memory
1.839634E7
max residence set size
180540.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
2.21/1.31 WORST_CASE(?, O(n^1)) 2.21/1.32 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.21/1.32 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.21/1.32 2.21/1.32 2.21/1.32 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 2.21/1.32 2.21/1.32 (0) CpxIntTrs 2.21/1.32 (1) Koat Proof [FINISHED, 178 ms] 2.21/1.32 (2) BOUNDS(1, n^1) 2.21/1.32 2.21/1.32 2.21/1.32 ---------------------------------------- 2.21/1.32 2.21/1.32 (0) 2.21/1.32 Obligation: 2.21/1.32 Complexity Int TRS consisting of the following rules: 2.21/1.32 eval_foo_start(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_bb0_in(v_.01, v_.12, v_i, v_x, v_y, v_z)) :|: TRUE 2.21/1.32 eval_foo_bb0_in(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_x, v_.12, v_i, v_x, v_y, v_z)) :|: v_y > 0 && v_x > 0 2.21/1.32 eval_foo_bb0_in(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_bb5_in(v_.01, v_.12, v_i, v_x, v_y, v_z)) :|: v_y <= 0 2.21/1.32 eval_foo_bb0_in(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_bb5_in(v_.01, v_.12, v_i, v_x, v_y, v_z)) :|: v_x <= 0 2.21/1.32 eval_foo_bb1_in(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_bb2_in(v_.01, v_.12, v_i, v_x, v_y, v_z)) :|: v_.01 > 0 2.21/1.32 eval_foo_bb1_in(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_bb3_in(v_.01, v_.01, v_i, v_x, v_y, v_z)) :|: v_.01 <= 0 2.21/1.32 eval_foo_bb2_in(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_.01 - 1, v_.12, v_i, v_x, v_y, v_z)) :|: TRUE 2.21/1.32 eval_foo_bb3_in(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_bb4_in(v_.01, v_.12, v_i, v_x, v_y, v_z)) :|: v_.12 < v_y 2.21/1.32 eval_foo_bb3_in(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_bb5_in(v_.01, v_.12, v_i, v_x, v_y, v_z)) :|: v_.12 >= v_y 2.21/1.32 eval_foo_bb4_in(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_bb3_in(v_.01, v_.12 + 1, v_i, v_x, v_y, v_z)) :|: TRUE 2.21/1.32 eval_foo_bb5_in(v_.01, v_.12, v_i, v_x, v_y, v_z) -> Com_1(eval_foo_stop(v_.01, v_.12, v_i, v_x, v_y, v_z)) :|: TRUE 2.21/1.32 2.21/1.32 The start-symbols are:[eval_foo_start_6] 2.21/1.32 2.21/1.32 2.21/1.32 ---------------------------------------- 2.21/1.32 2.21/1.32 (1) Koat Proof (FINISHED) 2.21/1.32 YES(?, 14*ar_1 + 6*ar_0 + 69) 2.21/1.32 2.21/1.32 2.21/1.32 2.21/1.32 Initial complexity problem: 2.21/1.32 2.21/1.32 1: T: 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3)) 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= 1 /\ ar_1 >= 1 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_2)) [ 0 >= ar_2 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3)) 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_3 + 1 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_0 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3 + 1)) 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3)) 2.21/1.32 2.21/1.32 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ] 2.21/1.32 2.21/1.32 start location: koat_start 2.21/1.32 2.21/1.32 leaf cost: 0 2.21/1.32 2.21/1.32 2.21/1.32 2.21/1.32 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.21/1.32 2.21/1.32 2: T: 2.21/1.32 2.21/1.32 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3)) 2.21/1.32 2.21/1.32 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= 1 /\ ar_1 >= 1 ] 2.21/1.32 2.21/1.32 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ] 2.21/1.32 2.21/1.32 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_2)) [ 0 >= ar_2 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 - 1, ar_3)) 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_3 + 1 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_0 ] 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3 + 1)) 2.21/1.32 2.21/1.32 (Comp: ?, Cost: 1) evalfoobb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3)) 2.21/1.32 2.21/1.32 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
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