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TRS Equational pair #516978239
details
property
value
status
complete
benchmark
AC16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n116.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
2.14457678795 seconds
cpu usage
5.25756295
max memory
4.71425024E8
stage attributes
key
value
output-size
1279
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0)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: plus(x, 0) -> x plus(x, x) -> x plus(T(x), x) -> T(x) plus(T(plus(x, y)), x) -> T(plus(x, y)) L(T(x)) -> L(x) L(plus(T(y), x)) -> plus(L(plus(x, y)), L(y)) T(T(x)) -> T(x) T(plus(T(y), x)) -> plus(T(plus(x, y)), T(y)) The set E consists of the following equations: plus(x, y) == plus(y, x) plus(plus(x, y), z) == plus(x, plus(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: T_1 > plus_2 L_1 > plus_2 Status: plus_2: flat status ---------------------------------------- (2) YES
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