TRS Standard pair #615304365

details

property	value
status	complete
benchmark	jwttt.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n017.star.cs.uiowa.edu
space	Waldmann_06

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.52534413338 seconds
cpu usage	4.919318674
max memory	6.13761024E8

stage attributes

key	value
output-size	3791
starexec-result	"YES"

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem:
 f(x,f(a(),y)) -> f(a(),f(f(a(),h(f(a(),x))),y))

Proof:
 DP Processor:
  DPs:
   f#(x,f(a(),y)) -> f#(a(),x)
   f#(x,f(a(),y)) -> f#(a(),h(f(a(),x)))
   f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y)
   f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y))
  TRS:
   f(x,f(a(),y)) -> f(a(),f(f(a(),h(f(a(),x))),y))
  EDG Processor:
   DPs:
    f#(x,f(a(),y)) -> f#(a(),x)
    f#(x,f(a(),y)) -> f#(a(),h(f(a(),x)))
    f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y)
    f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y))
   TRS:
    f(x,f(a(),y)) -> f(a(),f(f(a(),h(f(a(),x))),y))
   graph:
    f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y) ->
    f#(x,f(a(),y)) -> f#(a(),x)
    f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y) ->
    f#(x,f(a(),y)) -> f#(a(),h(f(a(),x)))
    f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y) ->
    f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y)
    f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y) ->
    f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y))
    f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y)) ->
    f#(x,f(a(),y)) -> f#(a(),x)
    f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y)) ->
    f#(x,f(a(),y)) -> f#(a(),h(f(a(),x)))
    f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y)) ->
    f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y)
    f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y)) ->
    f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y))
    f#(x,f(a(),y)) -> f#(a(),x) -> f#(x,f(a(),y)) -> f#(a(),x)
    f#(x,f(a(),y)) -> f#(a(),x) -> f#(x,f(a(),y)) -> f#(a(),h(f(a(),x)))
    f#(x,f(a(),y)) -> f#(a(),x) ->
    f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y)
    f#(x,f(a(),y)) -> f#(a(),x) -> f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y))
   SCC Processor:
    #sccs: 1
    #rules: 3
    #arcs: 12/16
    DPs:
     f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y)
     f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y))
     f#(x,f(a(),y)) -> f#(a(),x)
    TRS:
     f(x,f(a(),y)) -> f(a(),f(f(a(),h(f(a(),x))),y))
    Bounds Processor:
     bound: 1
     enrichment: match-dp
     automaton:
      final states: {14}
      transitions:
       f{#,0}(16,15) -> 14*
       a0() -> 16*
       f0(16,16) -> 20*
       f0(16,21) -> 16*
       f0(16,15) -> 15*
       h1(39) -> 40*
       f1(41,21) -> 16*
       f1(34,40) -> 41*
       f1(34,34) -> 39*
       f40() -> 15*
       h0(20) -> 21*
       a1() -> 34*
       f{#,1}(41,21) -> 14*
       f{#,1}(34,34) -> 14*
       f{#,1}(34,16) -> 14*
     problem:
      DPs:
       f#(x,f(a(),y)) -> f#(f(a(),h(f(a(),x))),y)
       f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y))
      TRS:
       f(x,f(a(),y)) -> f(a(),f(f(a(),h(f(a(),x))),y))
     Subterm Criterion Processor:
      simple projection:
       pi(f) = [1,1]
       pi(f#) = [1,1]
      problem:
       DPs:
        f#(x,f(a(),y)) -> f#(a(),f(f(a(),h(f(a(),x))),y))
       TRS:
        f(x,f(a(),y)) -> f(a(),f(f(a(),h(f(a(),x))),y))
      Semantic Labeling Processor:
       dimension: 2
       usable rules:

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