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TRS Equat 89423 pair #381732806
details
property
value
status
complete
benchmark
AC11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n036.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.63973593712 seconds
cpu usage
3.478221558
max memory
1.93769472E8
stage attributes
key
value
output-size
1185
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 99 ms] (2) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: f(g(f(h(a), a)), a) -> f(h(a), f(a, a)) f(h(a), g(a)) -> f(g(h(a)), a) f(g(h(a)), f(b, f(b, b))) -> f(g(f(h(a), a)), a) f(h(a), a) -> f(h(a), b) 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 h_1 > f_2 > a > b Status: f_2: flat status ---------------------------------------- (2) YES
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