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TRS Equational pair #487523283
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
n148.star.cs.uiowa.edu
space
Mixed_AC_and_C
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.56024599075 seconds
cpu usage
3.223368568
max memory
2.09399808E8
stage attributes
key
value
output-size
1681
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ----------------------------------------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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