TRS Stand 20472 pair #381716250

details

property	value
status	complete
benchmark	OvConsOS_nokinds_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	3.40531420708 seconds
cpu usage	3.388036827
max memory	9.320448E7

stage attributes

key	value
output-size	74972
starexec-result	YES

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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YES
We consider the system theBenchmark.

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

  0 : [] --> o 
  U11 : [o] --> o 
  U21 : [o] --> o 
  U31 : [o] --> o 
  U41 : [o * o] --> o 
  U42 : [o] --> o 
  U51 : [o * o] --> o 
  U52 : [o] --> o 
  U61 : [o * o] --> o 
  U62 : [o] --> o 
  U71 : [o * o * o] --> o 
  U72 : [o * o] --> o 
  U81 : [o] --> o 
  U91 : [o * o * o * o] --> o 
  U92 : [o * o * o * o] --> o 
  U93 : [o * o * o * o] --> o 
  a!6220!6220U11 : [o] --> o 
  a!6220!6220U21 : [o] --> o 
  a!6220!6220U31 : [o] --> o 
  a!6220!6220U41 : [o * o] --> o 
  a!6220!6220U42 : [o] --> o 
  a!6220!6220U51 : [o * o] --> o 
  a!6220!6220U52 : [o] --> o 
  a!6220!6220U61 : [o * o] --> o 
  a!6220!6220U62 : [o] --> o 
  a!6220!6220U71 : [o * o * o] --> o 
  a!6220!6220U72 : [o * o] --> o 
  a!6220!6220U81 : [o] --> o 
  a!6220!6220U91 : [o * o * o * o] --> o 
  a!6220!6220U92 : [o * o * o * o] --> o 
  a!6220!6220U93 : [o * o * o * o] --> o 
  a!6220!6220isNat : [o] --> o 
  a!6220!6220isNatIList : [o] --> o 
  a!6220!6220isNatList : [o] --> o 
  a!6220!6220length : [o] --> o 
  a!6220!6220take : [o * o] --> o 
  a!6220!6220zeros : [] --> o 
  cons : [o * o] --> o 
  isNat : [o] --> o 
  isNatIList : [o] --> o 
  isNatList : [o] --> o 
  length : [o] --> o 
  mark : [o] --> o 
  nil : [] --> o 
  s : [o] --> o 
  take : [o * o] --> o 
  tt : [] --> o 
  zeros : [] --> o 

  a!6220!6220zeros => cons(0, zeros) 
  a!6220!6220U11(tt) => tt 
  a!6220!6220U21(tt) => tt 
  a!6220!6220U31(tt) => tt 
  a!6220!6220U41(tt, X) => a!6220!6220U42(a!6220!6220isNatIList(X)) 
  a!6220!6220U42(tt) => tt 
  a!6220!6220U51(tt, X) => a!6220!6220U52(a!6220!6220isNatList(X)) 
  a!6220!6220U52(tt) => tt 
  a!6220!6220U61(tt, X) => a!6220!6220U62(a!6220!6220isNatIList(X)) 
  a!6220!6220U62(tt) => tt 
  a!6220!6220U71(tt, X, Y) => a!6220!6220U72(a!6220!6220isNat(Y), X) 
  a!6220!6220U72(tt, X) => s(a!6220!6220length(mark(X))) 
  a!6220!6220U81(tt) => nil 
  a!6220!6220U91(tt, X, Y, Z) => a!6220!6220U92(a!6220!6220isNat(Y), X, Y, Z) 
  a!6220!6220U92(tt, X, Y, Z) => a!6220!6220U93(a!6220!6220isNat(Z), X, Y, Z) 
  a!6220!6220U93(tt, X, Y, Z) => cons(mark(Z), take(Y, X)) 
  a!6220!6220isNat(0) => tt 
  a!6220!6220isNat(length(X)) => a!6220!6220U11(a!6220!6220isNatList(X)) 
  a!6220!6220isNat(s(X)) => a!6220!6220U21(a!6220!6220isNat(X)) 
  a!6220!6220isNatIList(X) => a!6220!6220U31(a!6220!6220isNatList(X)) 
  a!6220!6220isNatIList(zeros) => tt 
  a!6220!6220isNatIList(cons(X, Y)) => a!6220!6220U41(a!6220!6220isNat(X), Y) 
  a!6220!6220isNatList(nil) => tt 
  a!6220!6220isNatList(cons(X, Y)) => a!6220!6220U51(a!6220!6220isNat(X), Y) 
  a!6220!6220isNatList(take(X, Y)) => a!6220!6220U61(a!6220!6220isNat(X), Y) 
  a!6220!6220length(nil) => 0 
  a!6220!6220length(cons(X, Y)) => a!6220!6220U71(a!6220!6220isNatList(Y), Y, X) 
  a!6220!6220take(0, X) => a!6220!6220U81(a!6220!6220isNatIList(X)) 
  a!6220!6220take(s(X), cons(Y, Z)) => a!6220!6220U91(a!6220!6220isNatIList(Z), Z, X, Y) 
  mark(zeros) => a!6220!6220zeros 
  mark(U11(X)) => a!6220!6220U11(mark(X)) 
  mark(U21(X)) => a!6220!6220U21(mark(X)) 
  mark(U31(X)) => a!6220!6220U31(mark(X)) 
  mark(U41(X, Y)) => a!6220!6220U41(mark(X), Y) 
  mark(U42(X)) => a!6220!6220U42(mark(X)) 
  mark(isNatIList(X)) => a!6220!6220isNatIList(X) 
  mark(U51(X, Y)) => a!6220!6220U51(mark(X), Y) 
  mark(U52(X)) => a!6220!6220U52(mark(X)) 
  mark(isNatList(X)) => a!6220!6220isNatList(X) 
  mark(U61(X, Y)) => a!6220!6220U61(mark(X), Y)

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