TRS Stand 20472 pair #381716684

details

property	value
status	complete
benchmark	Ex5_DLMMU04_Z.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n050.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	2.39877915382 seconds
cpu usage	7.961856047
max memory	3.53435648E8

stage attributes

key	value
output-size	31930
starexec-result	NO

output

/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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


NO

Problem:
 pairNs() -> cons(0(),n__incr(oddNs()))
 oddNs() -> incr(pairNs())
 incr(cons(X,XS)) -> cons(s(X),n__incr(activate(XS)))
 take(0(),XS) -> nil()
 take(s(N),cons(X,XS)) -> cons(X,n__take(N,activate(XS)))
 zip(nil(),XS) -> nil()
 zip(X,nil()) -> nil()
 zip(cons(X,XS),cons(Y,YS)) -> cons(pair(X,Y),n__zip(activate(XS),activate(YS)))
 tail(cons(X,XS)) -> activate(XS)
 repItems(nil()) -> nil()
 repItems(cons(X,XS)) -> cons(X,n__cons(X,n__repItems(activate(XS))))
 incr(X) -> n__incr(X)
 take(X1,X2) -> n__take(X1,X2)
 zip(X1,X2) -> n__zip(X1,X2)
 cons(X1,X2) -> n__cons(X1,X2)
 repItems(X) -> n__repItems(X)
 activate(n__incr(X)) -> incr(X)
 activate(n__take(X1,X2)) -> take(X1,X2)
 activate(n__zip(X1,X2)) -> zip(X1,X2)
 activate(n__cons(X1,X2)) -> cons(X1,X2)
 activate(n__repItems(X)) -> repItems(X)
 activate(X) -> X

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [n__cons](x0, x1) = x0 + x1,
   
   [n__repItems](x0) = x0,
   
   [repItems](x0) = 5x0,
   
   [tail](x0) = 2x0 + 4,
   
   [n__zip](x0, x1) = x0 + x1,
   
   [pair](x0, x1) = x0 + 5x1,
   
   [zip](x0, x1) = 5x0 + 5x1,
   
   [n__take](x0, x1) = 2x0 + x1,
   
   [nil] = 0,
   
   [take](x0, x1) = 2x0 + 5x1,
   
   [activate](x0) = 5x0,
   
   [s](x0) = 4x0,
   
   [incr](x0) = 5x0,
   
   [cons](x0, x1) = x0 + 4x1,
   
   [n__incr](x0) = x0,
   
   [oddNs] = 0,
   
   [0] = 0,
   
   [pairNs] = 0
  orientation:
   pairNs() = 0 >= 0 = cons(0(),n__incr(oddNs()))
   
   oddNs() = 0 >= 0 = incr(pairNs())
   
   incr(cons(X,XS)) = 5X + 20XS >= 4X + 20XS = cons(s(X),n__incr(activate(XS)))
   
   take(0(),XS) = 5XS >= 0 = nil()
   
   take(s(N),cons(X,XS)) = 8N + 5X + 20XS >= 8N + X + 20XS = cons(X,n__take(N,activate(XS)))
   
   zip(nil(),XS) = 5XS >= 0 = nil()
   
   zip(X,nil()) = 5X >= 0 = nil()
   
   zip(cons(X,XS),cons(Y,YS)) = 5X + 20XS + 5Y + 20YS >= X + 20XS + 5Y + 20YS = cons(pair(X,Y),n__zip(activate(XS),activate(YS)))
   
   tail(cons(X,XS)) = 2X + 8XS + 4 >= 5XS = activate(XS)
   
   repItems(nil()) = 0 >= 0 = nil()
   
   repItems(cons(X,XS)) = 5X + 20XS >= 5X + 20XS = cons(X,n__cons(X,n__repItems(activate(XS))))
   
   incr(X) = 5X >= X = n__incr(X)
   
   take(X1,X2) = 2X1 + 5X2 >= 2X1 + X2 = n__take(X1,X2)
   
   zip(X1,X2) = 5X1 + 5X2 >= X1 + X2 = n__zip(X1,X2)

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