details

property	value
status	complete
benchmark	differ.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n023.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.56295418739 seconds
cpu usage	3.341193121
max memory	2.16047616E8

stage attributes

key	value
output-size	1547
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ----------------------------------------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: dx(X) -> 1 dx(0) -> 0 dx(1) -> 0 dx(a) -> 0 dx(+(f, g)) -> +(dx(f), dx(g)) dx(*(f, g)) -> +(*(dx(f), g), *(dx(g), f)) dx(-(f, g)) -> -(dx(f), dx(g)) dx(neg(f)) -> neg(dx(f)) dx(/(f, g)) -> -(/(dx(f), g), /(*(dx(g), f), exp(g, 2))) dx(ln(f)) -> /(dx(f), f) dx(exp(f, g)) -> +(*(dx(f), *(exp(f, -(g, 1)), g)), *(dx(g), *(exp(f, g), ln(f)))) The set E consists of the following equations: *(x, y) == *(y, x) +(x, y) == +(y, x) *(*(x, y), z) == *(x, *(y, z)) +(+(x, y), z) == +(x, +(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: dx_1 > 1 dx_1 > 0 dx_1 > +_2 dx_1 > *_2 dx_1 > -_2 dx_1 > neg_1 dx_1 > /_2 dx_1 > exp_2 dx_1 > 2 dx_1 > ln_1 Status: *_2: flat status +_2: flat status ---------------------------------------- (2) YES popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Equational