TRS Stand 20472 pair #381715835

details

property	value
status	complete
benchmark	OvConsOS_complete_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n030.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	172.767161846 seconds
cpu usage	172.734244143
max memory	1.120886784E9

stage attributes

key	value
output-size	7805
starexec-result	MAYBE

output

/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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 
  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] --> o 
  U62 : [o * o] --> o 
  U63 : [o] --> o 
  U71 : [o * o] --> o 
  U81 : [o] --> o 
  U91 : [o * o * o * o] --> o 
  active : [o] --> 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 
  ok : [o] --> o 
  proper : [o] --> o 
  s : [o] --> o 
  take : [o * o] --> o 
  top : [o] --> o 
  tt : [] --> o 
  zeros : [] --> o 

  active(zeros) => mark(cons(0, zeros)) 
  active(U11(tt, X)) => mark(U12(isNatList(X))) 
  active(U12(tt)) => mark(tt) 
  active(U21(tt, X)) => mark(U22(isNat(X))) 
  active(U22(tt)) => mark(tt) 
  active(U31(tt, X)) => mark(U32(isNatList(X))) 
  active(U32(tt)) => mark(tt) 
  active(U41(tt, X, Y)) => mark(U42(isNat(X), Y)) 
  active(U42(tt, X)) => mark(U43(isNatIList(X))) 
  active(U43(tt)) => mark(tt) 
  active(U51(tt, X, Y)) => mark(U52(isNat(X), Y)) 
  active(U52(tt, X)) => mark(U53(isNatList(X))) 
  active(U53(tt)) => mark(tt) 
  active(U61(tt, X, Y)) => mark(U62(isNat(X), Y)) 
  active(U62(tt, X)) => mark(U63(isNatIList(X))) 
  active(U63(tt)) => mark(tt) 
  active(U71(tt, X)) => mark(s(length(X))) 
  active(U81(tt)) => mark(nil) 
  active(U91(tt, X, Y, Z)) => mark(cons(Z, take(Y, X))) 
  active(and(tt, X)) => mark(X) 
  active(isNat(0)) => mark(tt) 
  active(isNat(length(X))) => mark(U11(isNatIListKind(X), X)) 
  active(isNat(s(X))) => mark(U21(isNatKind(X), X)) 
  active(isNatIList(X)) => mark(U31(isNatIListKind(X), X)) 
  active(isNatIList(zeros)) => mark(tt) 
  active(isNatIList(cons(X, Y))) => mark(U41(and(isNatKind(X), isNatIListKind(Y)), X, Y)) 
  active(isNatIListKind(nil)) => mark(tt) 
  active(isNatIListKind(zeros)) => mark(tt) 
  active(isNatIListKind(cons(X, Y))) => mark(and(isNatKind(X), isNatIListKind(Y))) 
  active(isNatIListKind(take(X, Y))) => mark(and(isNatKind(X), isNatIListKind(Y))) 
  active(isNatKind(0)) => mark(tt) 
  active(isNatKind(length(X))) => mark(isNatIListKind(X)) 
  active(isNatKind(s(X))) => mark(isNatKind(X)) 
  active(isNatList(nil)) => mark(tt) 
  active(isNatList(cons(X, Y))) => mark(U51(and(isNatKind(X), isNatIListKind(Y)), X, Y)) 
  active(isNatList(take(X, Y))) => mark(U61(and(isNatKind(X), isNatIListKind(Y)), X, Y)) 
  active(length(nil)) => mark(0) 
  active(length(cons(X, Y))) => mark(U71(and(and(isNatList(Y), isNatIListKind(Y)), and(isNat(X), isNatKind(X))), Y)) 
  active(take(0, X)) => mark(U81(and(isNatIList(X), isNatIListKind(X)))) 
  active(take(s(X), cons(Y, Z))) => mark(U91(and(and(isNatIList(Z), isNatIListKind(Z)), and(and(isNat(X), isNatKind(X)), and(isNat(Y), isNatKind(Y)))), Z, X, Y)) 
  active(cons(X, Y)) => cons(active(X), Y) 
  active(U11(X, Y)) => U11(active(X), Y) 
  active(U12(X)) => U12(active(X)) 
  active(U21(X, Y)) => U21(active(X), Y) 
  active(U22(X)) => U22(active(X)) 
  active(U31(X, Y)) => U31(active(X), Y) 
  active(U32(X)) => U32(active(X)) 
  active(U41(X, Y, Z)) => U41(active(X), Y, Z) 
  active(U42(X, Y)) => U42(active(X), Y) 
  active(U43(X)) => U43(active(X)) 
  active(U51(X, Y, Z)) => U51(active(X), Y, Z)

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