TRS Standard pair #487068142

details

property	value
status	complete
benchmark	4.31.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n179.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.578229 seconds
cpu usage	1.11579
user time	0.866611
system time	0.249176
max virtual memory	192352.0
max residence set size	67752.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem:
 purge(nil()) -> nil()
 purge(.(x,y)) -> .(x,purge(remove(x,y)))
 remove(x,nil()) -> nil()
 remove(x,.(y,z)) -> if(=(x,y),remove(x,z),.(y,remove(x,z)))

Proof:
 DP Processor:
  DPs:
   purge#(.(x,y)) -> remove#(x,y)
   purge#(.(x,y)) -> purge#(remove(x,y))
   remove#(x,.(y,z)) -> remove#(x,z)
  TRS:
   purge(nil()) -> nil()
   purge(.(x,y)) -> .(x,purge(remove(x,y)))
   remove(x,nil()) -> nil()
   remove(x,.(y,z)) -> if(=(x,y),remove(x,z),.(y,remove(x,z)))
  TDG Processor:
   DPs:
    purge#(.(x,y)) -> remove#(x,y)
    purge#(.(x,y)) -> purge#(remove(x,y))
    remove#(x,.(y,z)) -> remove#(x,z)
   TRS:
    purge(nil()) -> nil()
    purge(.(x,y)) -> .(x,purge(remove(x,y)))
    remove(x,nil()) -> nil()
    remove(x,.(y,z)) -> if(=(x,y),remove(x,z),.(y,remove(x,z)))
   graph:
    remove#(x,.(y,z)) -> remove#(x,z) ->
    remove#(x,.(y,z)) -> remove#(x,z)
    purge#(.(x,y)) -> remove#(x,y) ->
    remove#(x,.(y,z)) -> remove#(x,z)
    purge#(.(x,y)) -> purge#(remove(x,y)) ->
    purge#(.(x,y)) -> purge#(remove(x,y))
    purge#(.(x,y)) -> purge#(remove(x,y)) -> purge#(.(x,y)) -> remove#(x,y)
   SCC Processor:
    #sccs: 2
    #rules: 2
    #arcs: 4/9
    DPs:
     purge#(.(x,y)) -> purge#(remove(x,y))
    TRS:
     purge(nil()) -> nil()
     purge(.(x,y)) -> .(x,purge(remove(x,y)))
     remove(x,nil()) -> nil()
     remove(x,.(y,z)) -> if(=(x,y),remove(x,z),.(y,remove(x,z)))
    EDG Processor:
     DPs:
      purge#(.(x,y)) -> purge#(remove(x,y))
     TRS:
      purge(nil()) -> nil()
      purge(.(x,y)) -> .(x,purge(remove(x,y)))
      remove(x,nil()) -> nil()
      remove(x,.(y,z)) -> if(=(x,y),remove(x,z),.(y,remove(x,z)))
     graph:
      
     SCC Processor:
      #sccs: 0
      #rules: 0
      #arcs: 0/1
      
    
    DPs:
     remove#(x,.(y,z)) -> remove#(x,z)
    TRS:
     purge(nil()) -> nil()
     purge(.(x,y)) -> .(x,purge(remove(x,y)))
     remove(x,nil()) -> nil()
     remove(x,.(y,z)) -> if(=(x,y),remove(x,z),.(y,remove(x,z)))
    Subterm Criterion Processor:
     simple projection:
      pi(remove#) = 1
     problem:
      DPs:
       
      TRS:
       purge(nil()) -> nil()
       purge(.(x,y)) -> .(x,purge(remove(x,y)))
       remove(x,nil()) -> nil()
       remove(x,.(y,z)) -> if(=(x,y),remove(x,z),.(y,remove(x,z)))
     Qed

popout

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

job log

popout

actions all output return to TRS Standard