TRS Standard pair #615302433

details

property	value
status	complete
benchmark	LengthOfFiniteLists_nosorts_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n028.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	2.76456189156 seconds
cpu usage	7.228103845
max memory	4.65416192E8

stage attributes

key	value
output-size	34471
starexec-result	"NO"

output

/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


NO

Problem:
 a__zeros() -> cons(0(),zeros())
 a__U11(tt(),L) -> a__U12(tt(),L)
 a__U12(tt(),L) -> s(a__length(mark(L)))
 a__length(nil()) -> 0()
 a__length(cons(N,L)) -> a__U11(tt(),L)
 mark(zeros()) -> a__zeros()
 mark(U11(X1,X2)) -> a__U11(mark(X1),X2)
 mark(U12(X1,X2)) -> a__U12(mark(X1),X2)
 mark(length(X)) -> a__length(mark(X))
 mark(cons(X1,X2)) -> cons(mark(X1),X2)
 mark(0()) -> 0()
 mark(tt()) -> tt()
 mark(s(X)) -> s(mark(X))
 mark(nil()) -> nil()
 a__zeros() -> zeros()
 a__U11(X1,X2) -> U11(X1,X2)
 a__U12(X1,X2) -> U12(X1,X2)
 a__length(X) -> length(X)

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [tt] = 0,
   
   [a__length](x0) = x0,
   
   [0] = 0,
   
   [cons](x0, x1) = x0 + 4x1,
   
   [a__U11](x0, x1) = x0 + 4x1,
   
   [nil] = 2,
   
   [a__zeros] = 0,
   
   [mark](x0) = 4x0,
   
   [U12](x0, x1) = x0 + 4x1,
   
   [U11](x0, x1) = x0 + 2x1,
   
   [s](x0) = x0,
   
   [length](x0) = x0,
   
   [a__U12](x0, x1) = x0 + 4x1,
   
   [zeros] = 0
  orientation:
   a__zeros() = 0 >= 0 = cons(0(),zeros())
   
   a__U11(tt(),L) = 4L >= 4L = a__U12(tt(),L)
   
   a__U12(tt(),L) = 4L >= 4L = s(a__length(mark(L)))
   
   a__length(nil()) = 2 >= 0 = 0()
   
   a__length(cons(N,L)) = 4L + N >= 4L = a__U11(tt(),L)
   
   mark(zeros()) = 0 >= 0 = a__zeros()
   
   mark(U11(X1,X2)) = 4X1 + 8X2 >= 4X1 + 4X2 = a__U11(mark(X1),X2)
   
   mark(U12(X1,X2)) = 4X1 + 16X2 >= 4X1 + 4X2 = a__U12(mark(X1),X2)
   
   mark(length(X)) = 4X >= 4X = a__length(mark(X))
   
   mark(cons(X1,X2)) = 4X1 + 16X2 >= 4X1 + 4X2 = cons(mark(X1),X2)
   
   mark(0()) = 0 >= 0 = 0()
   
   mark(tt()) = 0 >= 0 = tt()
   
   mark(s(X)) = 4X >= 4X = s(mark(X))
   
   mark(nil()) = 8 >= 2 = nil()
   
   a__zeros() = 0 >= 0 = zeros()
   
   a__U11(X1,X2) = X1 + 4X2 >= X1 + 2X2 = U11(X1,X2)
   
   a__U12(X1,X2) = X1 + 4X2 >= X1 + 4X2 = U12(X1,X2)
   
   a__length(X) = X >= X = length(X)
  problem:
   a__zeros() -> cons(0(),zeros())
   a__U11(tt(),L) -> a__U12(tt(),L)
   a__U12(tt(),L) -> s(a__length(mark(L)))
   a__length(cons(N,L)) -> a__U11(tt(),L)

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