Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Runti Compl Full Rewri 10127 pair #381903291
details
property
value
status
complete
benchmark
Ex1_GM03_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.56130409241 seconds
cpu usage
3.298751399
max memory
1.78941952E8
stage attributes
key
value
output-size
2478
starexec-result
WORST_CASE(NON_POLY, ?)
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(INF, INF). (0) CpxTRS (1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (2) TRS for Loop Detection (3) InfiniteLowerBoundProof [FINISHED, 0 ms] (4) BOUNDS(INF, INF) ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(INF, INF). The TRS R consists of the following rules: p(0) -> 0 p(s(X)) -> X leq(0, Y) -> true leq(s(X), 0) -> false leq(s(X), s(Y)) -> leq(X, Y) if(true, X, Y) -> activate(X) if(false, X, Y) -> activate(Y) diff(X, Y) -> if(leq(X, Y), n__0, n__s(diff(p(X), Y))) 0 -> n__0 s(X) -> n__s(X) activate(n__0) -> 0 activate(n__s(X)) -> s(X) activate(X) -> X S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (2) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(INF, INF). The TRS R consists of the following rules: p(0) -> 0 p(s(X)) -> X leq(0, Y) -> true leq(s(X), 0) -> false leq(s(X), s(Y)) -> leq(X, Y) if(true, X, Y) -> activate(X) if(false, X, Y) -> activate(Y) diff(X, Y) -> if(leq(X, Y), n__0, n__s(diff(p(X), Y))) 0 -> n__0 s(X) -> n__s(X) activate(n__0) -> 0 activate(n__s(X)) -> s(X) activate(X) -> X S is empty. Rewrite Strategy: FULL ---------------------------------------- (3) InfiniteLowerBoundProof (FINISHED) The following loop proves infinite runtime complexity: The rewrite sequence diff(X, Y) ->^+ if(leq(X, Y), n__0, n__s(diff(p(X), Y))) gives rise to a decreasing loop by considering the right hand sides subterm at position [2,0]. The pumping substitution is [ ]. The result substitution is [X / p(X)]. ---------------------------------------- (4) BOUNDS(INF, INF)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Runti Compl Full Rewri 10127