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TRS Equational pair #487523175
details
property
value
status
complete
benchmark
AC12.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
AProVE_AC_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.51615095139 seconds
cpu usage
3.270896388
max memory
2.06020608E8
stage attributes
key
value
output-size
1176
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ----------------------------------------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: f(g(f(h(x), x)), x) -> f(h(x), f(x, x)) f(h(x), g(x)) -> f(g(h(x)), x) f(g(h(x)), f(x, f(x, y))) -> f(g(f(h(x), y)), x) f(g(g(x)), x) -> f(g(x), g(x)) The set E consists of the following equations: f(x, y) == f(y, x) f(f(x, y), z) == f(x, f(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: h_1 > f_2 > g_1 Status: f_2: flat status ---------------------------------------- (2) YES
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