TRS Stand 20472 pair #381713808

details

property	value
status	complete
benchmark	2.25.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n007.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	0.54139995575 seconds
cpu usage	0.86765703
max memory	1.44183296E8

stage attributes

key	value
output-size	2487
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


YES

Problem:
 fib(0()) -> 0()
 fib(s(0())) -> s(0())
 fib(s(s(x))) -> +(fib(s(x)),fib(x))
 +(x,0()) -> x
 +(x,s(y)) -> s(+(x,y))

Proof:
 DP Processor:
  DPs:
   fib#(s(s(x))) -> fib#(x)
   fib#(s(s(x))) -> fib#(s(x))
   fib#(s(s(x))) -> +#(fib(s(x)),fib(x))
   +#(x,s(y)) -> +#(x,y)
  TRS:
   fib(0()) -> 0()
   fib(s(0())) -> s(0())
   fib(s(s(x))) -> +(fib(s(x)),fib(x))
   +(x,0()) -> x
   +(x,s(y)) -> s(+(x,y))
  TDG Processor:
   DPs:
    fib#(s(s(x))) -> fib#(x)
    fib#(s(s(x))) -> fib#(s(x))
    fib#(s(s(x))) -> +#(fib(s(x)),fib(x))
    +#(x,s(y)) -> +#(x,y)
   TRS:
    fib(0()) -> 0()
    fib(s(0())) -> s(0())
    fib(s(s(x))) -> +(fib(s(x)),fib(x))
    +(x,0()) -> x
    +(x,s(y)) -> s(+(x,y))
   graph:
    +#(x,s(y)) -> +#(x,y) -> +#(x,s(y)) -> +#(x,y)
    fib#(s(s(x))) -> +#(fib(s(x)),fib(x)) -> +#(x,s(y)) -> +#(x,y)
    fib#(s(s(x))) -> fib#(s(x)) -> fib#(s(s(x))) -> +#(fib(s(x)),fib(x))
    fib#(s(s(x))) -> fib#(s(x)) -> fib#(s(s(x))) -> fib#(s(x))
    fib#(s(s(x))) -> fib#(s(x)) -> fib#(s(s(x))) -> fib#(x)
    fib#(s(s(x))) -> fib#(x) -> fib#(s(s(x))) -> +#(fib(s(x)),fib(x))
    fib#(s(s(x))) -> fib#(x) -> fib#(s(s(x))) -> fib#(s(x))
    fib#(s(s(x))) -> fib#(x) -> fib#(s(s(x))) -> fib#(x)
   SCC Processor:
    #sccs: 2
    #rules: 3
    #arcs: 8/16
    DPs:
     fib#(s(s(x))) -> fib#(s(x))
     fib#(s(s(x))) -> fib#(x)
    TRS:
     fib(0()) -> 0()
     fib(s(0())) -> s(0())
     fib(s(s(x))) -> +(fib(s(x)),fib(x))
     +(x,0()) -> x
     +(x,s(y)) -> s(+(x,y))
    Subterm Criterion Processor:
     simple projection:
      pi(fib#) = 0
     problem:
      DPs:
       
      TRS:
       fib(0()) -> 0()
       fib(s(0())) -> s(0())
       fib(s(s(x))) -> +(fib(s(x)),fib(x))
       +(x,0()) -> x
       +(x,s(y)) -> s(+(x,y))
     Qed
    
    DPs:
     +#(x,s(y)) -> +#(x,y)
    TRS:
     fib(0()) -> 0()
     fib(s(0())) -> s(0())
     fib(s(s(x))) -> +(fib(s(x)),fib(x))
     +(x,0()) -> x
     +(x,s(y)) -> s(+(x,y))
    Subterm Criterion Processor:
     simple projection:
      pi(+#) = 1
     problem:
      DPs:
       
      TRS:
       fib(0()) -> 0()
       fib(s(0())) -> s(0())
       fib(s(s(x))) -> +(fib(s(x)),fib(x))
       +(x,0()) -> x
       +(x,s(y)) -> s(+(x,y))
     Qed

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to TRS Stand 20472