TRS Stand 20472 pair #381716845

details

property	value
status	complete
benchmark	LISTUTILITIES_nokinds_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n089.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	18.1373670101 seconds
cpu usage	18.132197218
max memory	5.54016768E8

stage attributes

key	value
output-size	6858
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 
  a!6220!6220U101 : [o * o * o] --> o 
  a!6220!6220U11 : [o * o * o] --> o 
  a!6220!6220U21 : [o * o] --> o 
  a!6220!6220U31 : [o * o] --> o 
  a!6220!6220U41 : [o * o] --> o 
  a!6220!6220U51 : [o * o * o] --> o 
  a!6220!6220U61 : [o * o] --> o 
  a!6220!6220U71 : [o * o] --> o 
  a!6220!6220U81 : [o * o * o * o] --> o 
  a!6220!6220U82 : [o * o] --> o 
  a!6220!6220U91 : [o * o] --> o 
  a!6220!6220afterNth : [o * o] --> o 
  a!6220!6220and : [o * o] --> o 
  a!6220!6220fst : [o] --> o 
  a!6220!6220head : [o] --> o 
  a!6220!6220isLNat : [o] --> o 
  a!6220!6220isNatural : [o] --> o 
  a!6220!6220isPLNat : [o] --> o 
  a!6220!6220natsFrom : [o] --> o 
  a!6220!6220sel : [o * o] --> o 
  a!6220!6220snd : [o] --> o 
  a!6220!6220splitAt : [o * o] --> o 
  a!6220!6220tail : [o] --> o 
  a!6220!6220take : [o * 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 
  mark : [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 

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

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