details

property	value
status	complete
benchmark	neg-pgarch-succeed.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n113.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	2.21833896637 seconds
cpu usage	4.924678804
max memory	2.89865728E8

stage attributes

key	value
output-size	9821
starexec-result	WORST_CASE(NON_POLY, ?)

output

/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(NON_POLY, ?) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). (0) CpxIntTrs (1) Loat Proof [FINISHED, 521 ms] (2) BOUNDS(INF, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f21(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) -> Com_1(f29(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)) :|: 0 >= A f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) -> Com_1(f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)) :|: TRUE f43(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) -> Com_1(f46(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)) :|: TRUE f29(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) -> Com_1(f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)) :|: A >= 1 f29(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) -> Com_1(f41(A, B, P, 0, P, P, G, H, I, J, K, L, M, N, O)) :|: 0 >= A && 999 + B >= P f29(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) -> Com_1(f41(1, B, P, 0, P, P, G, H, I, J, K, L, M, N, O)) :|: 0 >= A && P >= B + 1000 f21(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) -> Com_1(f29(0, P, P, D, E, F, 0, P, I, J, K, L, M, N, O)) :|: A >= 1 f0(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) -> Com_1(f21(1, B, C, D, E, F, G, H, P, P, K, L, M, N, O)) :|: 0 >= P f0(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) -> Com_1(f21(1, B, C, D, E, F, G, H, P, 0, 1, Q, Q, Q, Q)) :|: P >= 1 && Q >= 1 f0(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) -> Com_1(f41(1, B, C, D, E, F, G, H, P, 0, 1, Q, Q, Q, Q)) :|: P >= 1 && 0 >= Q The start-symbols are:[f0_15] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: f0 0: f21 -> f29 : [ 0>=A ], cost: 1 6: f21 -> f29 : A'=0, B'=free_2, C'=free_2, G'=0, H'=free_2, [ A>=1 ], cost: 1 1: f41 -> f41 : [], cost: 1 2: f43 -> f46 : [], cost: 1 3: f29 -> f41 : [ A>=1 ], cost: 1 4: f29 -> f41 : C'=free, D'=0, E'=free, F'=free, [ 0>=A && 999+B>=free ], cost: 1 5: f29 -> f41 : A'=1, C'=free_1, D'=0, E'=free_1, F'=free_1, [ 0>=A && free_1>=1000+B ], cost: 1 7: f0 -> f21 : A'=1, Q'=free_3, J'=free_3, [ 0>=free_3 ], cost: 1 8: f0 -> f21 : A'=1, Q'=free_4, J'=0, K'=1, L'=free_5, M'=free_5, N'=free_5, O'=free_5, [ free_4>=1 && free_5>=1 ], cost: 1 9: f0 -> f41 : A'=1, Q'=free_6, J'=0, K'=1, L'=free_7, M'=free_7, N'=free_7, O'=free_7, [ free_6>=1 && 0>=free_7 ], cost: 1 Removed unreachable and leaf rules: Start location: f0 0: f21 -> f29 : [ 0>=A ], cost: 1 6: f21 -> f29 : A'=0, B'=free_2, C'=free_2, G'=0, H'=free_2, [ A>=1 ], cost: 1 1: f41 -> f41 : [], cost: 1 3: f29 -> f41 : [ A>=1 ], cost: 1 4: f29 -> f41 : C'=free, D'=0, E'=free, F'=free, [ 0>=A && 999+B>=free ], cost: 1 5: f29 -> f41 : A'=1, C'=free_1, D'=0, E'=free_1, F'=free_1, [ 0>=A && free_1>=1000+B ], cost: 1 7: f0 -> f21 : A'=1, Q'=free_3, J'=free_3, [ 0>=free_3 ], cost: 1 8: f0 -> f21 : A'=1, Q'=free_4, J'=0, K'=1, L'=free_5, M'=free_5, N'=free_5, O'=free_5, [ free_4>=1 && free_5>=1 ], cost: 1 9: f0 -> f41 : A'=1, Q'=free_6, J'=0, K'=1, L'=free_7, M'=free_7, N'=free_7, O'=free_7, [ free_6>=1 && 0>=free_7 ], cost: 1 ### Simplification by acceleration and chaining ### popout

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all output return to Compl Integ Trans Syste 26843