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TRS_Equational 2019-03-21 05.09 pair #429997354
details
property
value
status
complete
benchmark
YWHM14_1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n044.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.57961 seconds
cpu usage
3.36019
user time
3.21256
system time
0.147629
max virtual memory
1.8275288E7
max residence set size
212016.0
stage attributes
key
value
starexec-result
YES
output
3.18/1.55 YES 3.18/1.56 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.18/1.56 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.18/1.56 3.18/1.56 3.18/1.56 Termination of the given ETRS could be proven: 3.18/1.56 3.18/1.56 (0) ETRS 3.18/1.56 (1) EDirectTerminationProof [EQUIVALENT, 0 ms] 3.18/1.56 (2) YES 3.18/1.56 3.18/1.56 3.18/1.56 ---------------------------------------- 3.18/1.56 3.18/1.56 (0) 3.18/1.56 Obligation: 3.18/1.56 Equational rewrite system: 3.18/1.56 The TRS R consists of the following rules: 3.18/1.56 3.18/1.56 f(plus(a, a)) -> plus(f(a), f(a)) 3.18/1.56 plus(a, f(f(a))) -> plus(f(a), f(a)) 3.18/1.56 3.18/1.56 The set E consists of the following equations: 3.18/1.56 3.18/1.56 plus(x, y) == plus(y, x) 3.18/1.56 plus(plus(x, y), z) == plus(x, plus(y, z)) 3.18/1.56 3.18/1.56 3.18/1.56 ---------------------------------------- 3.18/1.56 3.18/1.56 (1) EDirectTerminationProof (EQUIVALENT) 3.18/1.56 We use [DA_FALKE] with the following order to prove termination. 3.18/1.56 3.18/1.56 Precedence: 3.18/1.56 f_1 > plus_2 3.18/1.56 3.18/1.56 3.18/1.56 Status: 3.18/1.56 plus_2: flat status 3.18/1.56 3.18/1.56 3.18/1.56 3.18/1.56 ---------------------------------------- 3.18/1.56 3.18/1.56 (2) 3.18/1.56 YES 3.33/1.57 EOF
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