TRS Stand 20472 pair #381710400

details

property	value
status	complete
benchmark	#3.6.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	Applicative_first_order_05

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	21.752188921 seconds
cpu usage	21.732632045
max memory	3.79695104E8

stage attributes

key	value
output-size	1727
starexec-result	MAYBE

output

/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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MAYBE
We consider the system theBenchmark.

We are asked to determine termination of the following first-order TRS.

  0 : [] --> o 
  app : [o * o] --> o 
  cons : [] --> o 
  false : [] --> o 
  filter : [] --> o 
  filter2 : [] --> o 
  gcd : [] --> o 
  if!6220gcd : [] --> o 
  le : [] --> o 
  map : [] --> o 
  minus : [] --> o 
  nil : [] --> o 
  pred : [] --> o 
  s : [] --> o 
  true : [] --> o 

  app(app(le, 0), X) => true 
  app(app(le, app(s, X)), 0) => false 
  app(app(le, app(s, X)), app(s, Y)) => app(app(le, X), Y) 
  app(pred, app(s, X)) => X 
  app(app(minus, X), 0) => X 
  app(app(minus, X), app(s, Y)) => app(pred, app(app(minus, X), Y)) 
  app(app(gcd, 0), X) => X 
  app(app(gcd, app(s, X)), 0) => app(s, X) 
  app(app(gcd, app(s, X)), app(s, Y)) => app(app(app(if!6220gcd, app(app(le, Y), X)), app(s, X)), app(s, Y)) 
  app(app(app(if!6220gcd, true), app(s, X)), app(s, Y)) => app(app(gcd, app(app(minus, X), Y)), app(s, Y)) 
  app(app(app(if!6220gcd, false), app(s, X)), app(s, Y)) => app(app(gcd, app(app(minus, Y), X)), app(s, X)) 
  app(app(map, X), nil) => nil 
  app(app(map, X), app(app(cons, Y), Z)) => app(app(cons, app(X, Y)), app(app(map, X), Z)) 
  app(app(filter, X), nil) => nil 
  app(app(filter, X), app(app(cons, Y), Z)) => app(app(app(app(filter2, app(X, Y)), X), Y), Z) 
  app(app(app(app(filter2, true), X), Y), Z) => app(app(cons, Y), app(app(filter, X), Z)) 
  app(app(app(app(filter2, false), X), Y), Z) => app(app(filter, X), Z)

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