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TRS Equat 89423 pair #381732689
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
n027.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.73745918274 seconds
cpu usage
4.140004607
max memory
2.89251328E8
stage attributes
key
value
output-size
1228
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 203 ms] (2) YES ----------------------------------------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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