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TRS Equational pair #487092845
details
property
value
status
complete
benchmark
AC08.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Mixed_AC_and_C
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.74419 seconds
cpu usage
3.46477
user time
3.30387
system time
0.160902
max virtual memory
1.8275312E7
max residence set size
216484.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: eq(x, x) -> true not(eq(x, y)) -> neq(x, y) not(neq(x, y)) -> eq(x, y) not(true) -> false not(false) -> true not(not(x)) -> x not(and(x, y)) -> or(not(x), not(y)) not(or(x, y)) -> and(not(x), not(y)) neq(x, x) -> false or(and(x, y), z) -> and(or(x, z), or(y, z)) or(x, x) -> x or(x, true) -> true or(x, false) -> x and(x, x) -> x and(x, true) -> x and(x, false) -> false and(x, or(x, y)) -> x The set E consists of the following equations: eq(x, y) == eq(y, x) neq(x, y) == neq(y, x) and(x, y) == and(y, x) or(x, y) == or(y, x) and(and(x, y), z) == and(x, and(y, z)) or(or(x, y), z) == or(x, or(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: not_1 > eq_2 > true not_1 > neq_2 > false not_1 > or_2 > and_2 Status: and_2: flat status or_2: flat status eq_2: flat status neq_2: flat status ---------------------------------------- (2) YES
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