TRS Stand 20472 pair #381716740

details

property	value
status	complete
benchmark	LengthOfFiniteLists_complete_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n111.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	3.86073899269 seconds
cpu usage	3.845364895
max memory	9.0054656E7

stage attributes

key	value
output-size	88710
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 
  U21 : [o * o] --> o 
  U22 : [o] --> o 
  U31 : [o * o] --> o 
  U32 : [o] --> o 
  U41 : [o * o * o] --> o 
  U42 : [o * o] --> o 
  U43 : [o] --> o 
  U51 : [o * o * o] --> o 
  U52 : [o * o] --> o 
  U53 : [o] --> o 
  U61 : [o * o] --> o 
  a!6220!6220U11 : [o * o] --> o 
  a!6220!6220U12 : [o] --> o 
  a!6220!6220U21 : [o * o] --> o 
  a!6220!6220U22 : [o] --> o 
  a!6220!6220U31 : [o * o] --> o 
  a!6220!6220U32 : [o] --> o 
  a!6220!6220U41 : [o * o * o] --> o 
  a!6220!6220U42 : [o * o] --> o 
  a!6220!6220U43 : [o] --> o 
  a!6220!6220U51 : [o * o * o] --> o 
  a!6220!6220U52 : [o * o] --> o 
  a!6220!6220U53 : [o] --> o 
  a!6220!6220U61 : [o * o] --> o 
  a!6220!6220and : [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 
  and : [o * o] --> 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!6220isNatList(X)) 
  a!6220!6220U12(tt) => tt 
  a!6220!6220U21(tt, X) => a!6220!6220U22(a!6220!6220isNat(X)) 
  a!6220!6220U22(tt) => tt 
  a!6220!6220U31(tt, X) => a!6220!6220U32(a!6220!6220isNatList(X)) 
  a!6220!6220U32(tt) => tt 
  a!6220!6220U41(tt, X, Y) => a!6220!6220U42(a!6220!6220isNat(X), Y) 
  a!6220!6220U42(tt, X) => a!6220!6220U43(a!6220!6220isNatIList(X)) 
  a!6220!6220U43(tt) => tt 
  a!6220!6220U51(tt, X, Y) => a!6220!6220U52(a!6220!6220isNat(X), Y) 
  a!6220!6220U52(tt, X) => a!6220!6220U53(a!6220!6220isNatList(X)) 
  a!6220!6220U53(tt) => tt 
  a!6220!6220U61(tt, X) => s(a!6220!6220length(mark(X))) 
  a!6220!6220and(tt, X) => mark(X) 
  a!6220!6220isNat(0) => tt 
  a!6220!6220isNat(length(X)) => a!6220!6220U11(a!6220!6220isNatIListKind(X), X) 
  a!6220!6220isNat(s(X)) => a!6220!6220U21(a!6220!6220isNatKind(X), X) 
  a!6220!6220isNatIList(X) => a!6220!6220U31(a!6220!6220isNatIListKind(X), X) 
  a!6220!6220isNatIList(zeros) => tt 
  a!6220!6220isNatIList(cons(X, Y)) => a!6220!6220U41(a!6220!6220and(a!6220!6220isNatKind(X), isNatIListKind(Y)), X, Y) 
  a!6220!6220isNatIListKind(nil) => tt 
  a!6220!6220isNatIListKind(zeros) => tt 
  a!6220!6220isNatIListKind(cons(X, Y)) => a!6220!6220and(a!6220!6220isNatKind(X), isNatIListKind(Y)) 
  a!6220!6220isNatKind(0) => tt 
  a!6220!6220isNatKind(length(X)) => a!6220!6220isNatIListKind(X) 
  a!6220!6220isNatKind(s(X)) => a!6220!6220isNatKind(X) 
  a!6220!6220isNatList(nil) => tt 
  a!6220!6220isNatList(cons(X, Y)) => a!6220!6220U51(a!6220!6220and(a!6220!6220isNatKind(X), isNatIListKind(Y)), X, Y) 
  a!6220!6220length(nil) => 0 
  a!6220!6220length(cons(X, Y)) => a!6220!6220U61(a!6220!6220and(a!6220!6220and(a!6220!6220isNatList(Y), isNatIListKind(Y)), and(isNat(X), isNatKind(X))), Y) 
  mark(zeros) => a!6220!6220zeros 
  mark(U11(X, Y)) => a!6220!6220U11(mark(X), Y) 
  mark(U12(X)) => a!6220!6220U12(mark(X)) 
  mark(isNatList(X)) => a!6220!6220isNatList(X) 
  mark(U21(X, Y)) => a!6220!6220U21(mark(X), Y) 
  mark(U22(X)) => a!6220!6220U22(mark(X)) 
  mark(isNat(X)) => a!6220!6220isNat(X) 
  mark(U31(X, Y)) => a!6220!6220U31(mark(X), Y) 
  mark(U32(X)) => a!6220!6220U32(mark(X))

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job log

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