TRS Stand 20472 pair #381716905

details

property	value
status	complete
benchmark	LISTUTILITIES_nokinds_FR.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n038.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	27.7353520393 seconds
cpu usage	27.731297939
max memory	4.78486528E8

stage attributes

key	value
output-size	5511
starexec-result	MAYBE

output

/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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 
  U101 : [o * o * o] --> o 
  U11 : [o * o * o] --> o 
  U21 : [o * o] --> o 
  U31 : [o * o] --> o 
  U41 : [o * o] --> o 
  U51 : [o * o * o] --> o 
  U61 : [o * o] --> o 
  U71 : [o * o] --> o 
  U81 : [o * o * o * o] --> o 
  U82 : [o * o] --> o 
  U91 : [o * o] --> o 
  activate : [o] --> o 
  afterNth : [o * o] --> o 
  and : [o * o] --> o 
  cons : [o * o] --> o 
  fst : [o] --> o 
  head : [o] --> o 
  isLNat : [o] --> o 
  isNatural : [o] --> o 
  isPLNat : [o] --> o 
  n!6220!62200 : [] --> o 
  n!6220!6220afterNth : [o * o] --> o 
  n!6220!6220and : [o * o] --> o 
  n!6220!6220cons : [o * o] --> o 
  n!6220!6220fst : [o] --> o 
  n!6220!6220head : [o] --> o 
  n!6220!6220isLNat : [o] --> o 
  n!6220!6220isNatural : [o] --> o 
  n!6220!6220natsFrom : [o] --> o 
  n!6220!6220nil : [] --> o 
  n!6220!6220pair : [o * o] --> o 
  n!6220!6220s : [o] --> o 
  n!6220!6220sel : [o * o] --> o 
  n!6220!6220snd : [o] --> o 
  n!6220!6220splitAt : [o * o] --> o 
  n!6220!6220tail : [o] --> o 
  n!6220!6220take : [o * o] --> o 
  natsFrom : [o] --> o 
  nil : [] --> o 
  pair : [o * o] --> o 
  s : [o] --> o 
  sel : [o * o] --> o 
  snd : [o] --> o 
  splitAt : [o * o] --> o 
  tail : [o] --> o 
  take : [o * o] --> o 
  tt : [] --> o 

  U101(tt, X, Y) => fst(splitAt(activate(X), activate(Y))) 
  U11(tt, X, Y) => snd(splitAt(activate(X), activate(Y))) 
  U21(tt, X) => activate(X) 
  U31(tt, X) => activate(X) 
  U41(tt, X) => cons(activate(X), n!6220!6220natsFrom(n!6220!6220s(activate(X)))) 
  U51(tt, X, Y) => head(afterNth(activate(X), activate(Y))) 
  U61(tt, X) => activate(X) 
  U71(tt, X) => pair(nil, activate(X)) 
  U81(tt, X, Y, Z) => U82(splitAt(activate(X), activate(Z)), activate(Y)) 
  U82(pair(X, Y), Z) => pair(cons(activate(Z), X), Y) 
  U91(tt, X) => activate(X) 
  afterNth(X, Y) => U11(and(isNatural(X), n!6220!6220isLNat(Y)), X, Y) 
  and(tt, X) => activate(X) 
  fst(pair(X, Y)) => U21(and(isLNat(X), n!6220!6220isLNat(Y)), X) 
  head(cons(X, Y)) => U31(and(isNatural(X), n!6220!6220isLNat(activate(Y))), X) 
  isLNat(n!6220!6220nil) => tt 
  isLNat(n!6220!6220afterNth(X, Y)) => and(isNatural(activate(X)), n!6220!6220isLNat(activate(Y))) 
  isLNat(n!6220!6220cons(X, Y)) => and(isNatural(activate(X)), n!6220!6220isLNat(activate(Y))) 
  isLNat(n!6220!6220fst(X)) => isPLNat(activate(X)) 
  isLNat(n!6220!6220natsFrom(X)) => isNatural(activate(X)) 
  isLNat(n!6220!6220snd(X)) => isPLNat(activate(X)) 
  isLNat(n!6220!6220tail(X)) => isLNat(activate(X)) 
  isLNat(n!6220!6220take(X, Y)) => and(isNatural(activate(X)), n!6220!6220isLNat(activate(Y))) 
  isNatural(n!6220!62200) => tt 
  isNatural(n!6220!6220head(X)) => isLNat(activate(X)) 
  isNatural(n!6220!6220s(X)) => isNatural(activate(X)) 
  isNatural(n!6220!6220sel(X, Y)) => and(isNatural(activate(X)), n!6220!6220isLNat(activate(Y))) 
  isPLNat(n!6220!6220pair(X, Y)) => and(isLNat(activate(X)), n!6220!6220isLNat(activate(Y))) 
  isPLNat(n!6220!6220splitAt(X, Y)) => and(isNatural(activate(X)), n!6220!6220isLNat(activate(Y))) 
  natsFrom(X) => U41(isNatural(X), X) 
  sel(X, Y) => U51(and(isNatural(X), n!6220!6220isLNat(Y)), X, Y) 
  snd(pair(X, Y)) => U61(and(isLNat(X), n!6220!6220isLNat(Y)), Y) 
  splitAt(0, X) => U71(isLNat(X), X) 
  splitAt(s(X), cons(Y, Z)) => U81(and(isNatural(X), n!6220!6220and(n!6220!6220isNatural(Y), n!6220!6220isLNat(activate(Z)))), X, Y, activate(Z)) 
  tail(cons(X, Y)) => U91(and(isNatural(X), n!6220!6220isLNat(activate(Y))), activate(Y)) 
  take(X, Y) => U101(and(isNatural(X), n!6220!6220isLNat(Y)), X, Y) 
  natsFrom(X) => n!6220!6220natsFrom(X) 
  s(X) => n!6220!6220s(X) 
  isLNat(X) => n!6220!6220isLNat(X) 
  nil => n!6220!6220nil

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