TRS Stand 20472 pair #381716675

details

property	value
status	complete
benchmark	LengthOfFiniteLists_complete_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n054.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	7.88256502151 seconds
cpu usage	7.878081158
max memory	2.833408E8

stage attributes

key	value
output-size	106871
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] --> o 
  U12 : [o * o] --> o 
  U13 : [o] --> o 
  U21 : [o * o] --> o 
  U22 : [o * o] --> o 
  U23 : [o] --> o 
  U31 : [o * o] --> o 
  U32 : [o * o] --> o 
  U33 : [o] --> o 
  U41 : [o * o * o] --> o 
  U42 : [o * o * o] --> o 
  U43 : [o * o * o] --> o 
  U44 : [o * o * o] --> o 
  U45 : [o * o] --> o 
  U46 : [o] --> o 
  U51 : [o * o] --> o 
  U52 : [o] --> o 
  U61 : [o] --> o 
  U71 : [o] --> o 
  U81 : [o * o * o] --> o 
  U82 : [o * o * o] --> o 
  U83 : [o * o * o] --> o 
  U84 : [o * o * o] --> o 
  U85 : [o * o] --> o 
  U86 : [o] --> o 
  U91 : [o * o * o] --> o 
  U92 : [o * o * o] --> o 
  U93 : [o * o * o] --> o 
  U94 : [o * o] --> o 
  a!6220!6220U11 : [o * o] --> o 
  a!6220!6220U12 : [o * o] --> o 
  a!6220!6220U13 : [o] --> o 
  a!6220!6220U21 : [o * o] --> o 
  a!6220!6220U22 : [o * o] --> o 
  a!6220!6220U23 : [o] --> o 
  a!6220!6220U31 : [o * o] --> o 
  a!6220!6220U32 : [o * o] --> o 
  a!6220!6220U33 : [o] --> o 
  a!6220!6220U41 : [o * o * o] --> o 
  a!6220!6220U42 : [o * o * o] --> o 
  a!6220!6220U43 : [o * o * o] --> o 
  a!6220!6220U44 : [o * o * o] --> o 
  a!6220!6220U45 : [o * o] --> o 
  a!6220!6220U46 : [o] --> o 
  a!6220!6220U51 : [o * o] --> o 
  a!6220!6220U52 : [o] --> o 
  a!6220!6220U61 : [o] --> o 
  a!6220!6220U71 : [o] --> o 
  a!6220!6220U81 : [o * o * o] --> o 
  a!6220!6220U82 : [o * o * o] --> o 
  a!6220!6220U83 : [o * o * o] --> o 
  a!6220!6220U84 : [o * o * o] --> o 
  a!6220!6220U85 : [o * o] --> o 
  a!6220!6220U86 : [o] --> o 
  a!6220!6220U91 : [o * o * o] --> o 
  a!6220!6220U92 : [o * o * o] --> o 
  a!6220!6220U93 : [o * o * o] --> o 
  a!6220!6220U94 : [o * o] --> o 
  a!6220!6220isNat : [o] --> o 
  a!6220!6220isNatIList : [o] --> o 
  a!6220!6220isNatIListKind : [o] --> o 
  a!6220!6220isNatKind : [o] --> o 
  a!6220!6220isNatList : [o] --> o 
  a!6220!6220length : [o] --> o 
  a!6220!6220zeros : [] --> o 
  cons : [o * o] --> o 
  isNat : [o] --> o 
  isNatIList : [o] --> o 
  isNatIListKind : [o] --> o 
  isNatKind : [o] --> o 
  isNatList : [o] --> o 
  length : [o] --> o 
  mark : [o] --> o 
  nil : [] --> o 
  s : [o] --> o 
  tt : [] --> o 
  zeros : [] --> o 

  a!6220!6220zeros => cons(0, zeros) 
  a!6220!6220U11(tt, X) => a!6220!6220U12(a!6220!6220isNatIListKind(X), X) 
  a!6220!6220U12(tt, X) => a!6220!6220U13(a!6220!6220isNatList(X)) 
  a!6220!6220U13(tt) => tt 
  a!6220!6220U21(tt, X) => a!6220!6220U22(a!6220!6220isNatKind(X), X) 
  a!6220!6220U22(tt, X) => a!6220!6220U23(a!6220!6220isNat(X)) 
  a!6220!6220U23(tt) => tt 
  a!6220!6220U31(tt, X) => a!6220!6220U32(a!6220!6220isNatIListKind(X), X) 
  a!6220!6220U32(tt, X) => a!6220!6220U33(a!6220!6220isNatList(X)) 
  a!6220!6220U33(tt) => tt

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