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TRS Equational pair #487092821
details
property
value
status
complete
benchmark
YWHM14_4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.87806 seconds
cpu usage
4.01848
user time
3.85949
system time
0.158981
max virtual memory
1.8275312E7
max residence set size
297368.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 194 ms] (2) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: ac1(a, ac2(b, c)) -> ac1(b, f(ac2(a, c))) ac2(a, ac1(b, c)) -> ac2(b, f(ac1(a, c))) The set E consists of the following equations: ac1(x, y) == ac1(y, x) ac2(x, y) == ac2(y, x) ac1(ac1(x, y), z) == ac1(x, ac1(y, z)) ac2(ac2(x, y), z) == ac2(x, ac2(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: ac1_2 > b > a > c ac1_2 > f_1 ac2_2 > f_1 Status: ac1_2: flat status ac2_2: flat status ---------------------------------------- (2) YES
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