TRS Standard pair #615306374

details

property	value
status	complete
benchmark	006.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n027.star.cs.uiowa.edu
space	AotoYamada_05

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.536229848862 seconds
cpu usage	0.925354567
max memory	1.76553984E8

stage attributes

key	value
output-size	5812
starexec-result	"YES"

output

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


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


YES

Problem:
 app(app(mapbt(),f),app(leaf(),x)) -> app(leaf(),app(f,x))
 app(app(mapbt(),f),app(app(app(branch(),x),l),r)) ->
 app(app(app(branch(),app(f,x)),app(app(mapbt(),f),l)),app(app(mapbt(),f),r))

Proof:
 Extended Uncurrying Processor:
  application symbol: app
  symbol table:
   branch ==> branch0/0 branch1/1 branch2/2 branch3/3
   leaf ==> leaf0/0 leaf1/1
   mapbt ==> mapbt0/0 mapbt1/1 mapbt2/2
   
  uncurry-rules:
   app(mapbt1(x4),x5) -> mapbt2(x4,x5)
   app(mapbt0(),x4) -> mapbt1(x4)
   app(leaf0(),x7) -> leaf1(x7)
   app(branch2(x9,x10),x11) -> branch3(x9,x10,x11)
   app(branch1(x9),x10) -> branch2(x9,x10)
   app(branch0(),x9) -> branch1(x9)
  eta-rules:
   
  problem:
   mapbt2(f,leaf1(x)) -> leaf1(app(f,x))
   mapbt2(f,branch3(x,l,r)) -> branch3(app(f,x),mapbt2(f,l),mapbt2(f,r))
   app(mapbt1(x4),x5) -> mapbt2(x4,x5)
   app(mapbt0(),x4) -> mapbt1(x4)
   app(leaf0(),x7) -> leaf1(x7)
   app(branch2(x9,x10),x11) -> branch3(x9,x10,x11)
   app(branch1(x9),x10) -> branch2(x9,x10)
   app(branch0(),x9) -> branch1(x9)
  DP Processor:
   DPs:
    mapbt{2,#}(f,leaf1(x)) -> app#(f,x)
    mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,r)
    mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,l)
    mapbt{2,#}(f,branch3(x,l,r)) -> app#(f,x)
    app#(mapbt1(x4),x5) -> mapbt{2,#}(x4,x5)
   TRS:
    mapbt2(f,leaf1(x)) -> leaf1(app(f,x))
    mapbt2(f,branch3(x,l,r)) -> branch3(app(f,x),mapbt2(f,l),mapbt2(f,r))
    app(mapbt1(x4),x5) -> mapbt2(x4,x5)
    app(mapbt0(),x4) -> mapbt1(x4)
    app(leaf0(),x7) -> leaf1(x7)
    app(branch2(x9,x10),x11) -> branch3(x9,x10,x11)
    app(branch1(x9),x10) -> branch2(x9,x10)
    app(branch0(),x9) -> branch1(x9)
   TDG Processor:
    DPs:
     mapbt{2,#}(f,leaf1(x)) -> app#(f,x)
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,r)
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,l)
     mapbt{2,#}(f,branch3(x,l,r)) -> app#(f,x)
     app#(mapbt1(x4),x5) -> mapbt{2,#}(x4,x5)
    TRS:
     mapbt2(f,leaf1(x)) -> leaf1(app(f,x))
     mapbt2(f,branch3(x,l,r)) -> branch3(app(f,x),mapbt2(f,l),mapbt2(f,r))
     app(mapbt1(x4),x5) -> mapbt2(x4,x5)
     app(mapbt0(),x4) -> mapbt1(x4)
     app(leaf0(),x7) -> leaf1(x7)
     app(branch2(x9,x10),x11) -> branch3(x9,x10,x11)
     app(branch1(x9),x10) -> branch2(x9,x10)
     app(branch0(),x9) -> branch1(x9)
    graph:
     app#(mapbt1(x4),x5) -> mapbt{2,#}(x4,x5) ->
     mapbt{2,#}(f,branch3(x,l,r)) -> app#(f,x)
     app#(mapbt1(x4),x5) -> mapbt{2,#}(x4,x5) ->
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,l)
     app#(mapbt1(x4),x5) -> mapbt{2,#}(x4,x5) ->
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,r)
     app#(mapbt1(x4),x5) -> mapbt{2,#}(x4,x5) ->
     mapbt{2,#}(f,leaf1(x)) -> app#(f,x)
     mapbt{2,#}(f,branch3(x,l,r)) -> app#(f,x) ->
     app#(mapbt1(x4),x5) -> mapbt{2,#}(x4,x5)
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,r) ->
     mapbt{2,#}(f,branch3(x,l,r)) -> app#(f,x)
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,r) ->
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,l)
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,r) ->
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,r)
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,r) ->
     mapbt{2,#}(f,leaf1(x)) -> app#(f,x)
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,l) ->
     mapbt{2,#}(f,branch3(x,l,r)) -> app#(f,x)
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,l) ->
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,l)
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,l) ->
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,r)
     mapbt{2,#}(f,branch3(x,l,r)) -> mapbt{2,#}(f,l) ->
     mapbt{2,#}(f,leaf1(x)) -> app#(f,x)
     mapbt{2,#}(f,leaf1(x)) -> app#(f,x) -> app#(mapbt1(x4),x5) -> mapbt{2,#}(x4,x5)
    Subterm Criterion Processor:

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