SRS Standard pair #487085660

details

property	value
status	complete
benchmark	13.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Bouchare_06

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	43.5341 seconds
cpu usage	170.346
user time	167.116
system time	3.22969
max virtual memory	1.1454776E7
max residence set size	116276.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem:
 a(a(b(x1))) -> a(x1)
 a(b(a(x1))) -> b(b(a(x1)))
 b(b(x1)) -> a(a(a(x1)))

Proof:
 DP Processor:
  DPs:
   a#(a(b(x1))) -> a#(x1)
   a#(b(a(x1))) -> b#(b(a(x1)))
   b#(b(x1)) -> a#(x1)
   b#(b(x1)) -> a#(a(x1))
   b#(b(x1)) -> a#(a(a(x1)))
  TRS:
   a(a(b(x1))) -> a(x1)
   a(b(a(x1))) -> b(b(a(x1)))
   b(b(x1)) -> a(a(a(x1)))
  TDG Processor:
   DPs:
    a#(a(b(x1))) -> a#(x1)
    a#(b(a(x1))) -> b#(b(a(x1)))
    b#(b(x1)) -> a#(x1)
    b#(b(x1)) -> a#(a(x1))
    b#(b(x1)) -> a#(a(a(x1)))
   TRS:
    a(a(b(x1))) -> a(x1)
    a(b(a(x1))) -> b(b(a(x1)))
    b(b(x1)) -> a(a(a(x1)))
   graph:
    b#(b(x1)) -> a#(a(a(x1))) -> a#(b(a(x1))) -> b#(b(a(x1)))
    b#(b(x1)) -> a#(a(a(x1))) -> a#(a(b(x1))) -> a#(x1)
    b#(b(x1)) -> a#(a(x1)) -> a#(b(a(x1))) -> b#(b(a(x1)))
    b#(b(x1)) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(x1)
    b#(b(x1)) -> a#(x1) -> a#(b(a(x1))) -> b#(b(a(x1)))
    b#(b(x1)) -> a#(x1) -> a#(a(b(x1))) -> a#(x1)
    a#(a(b(x1))) -> a#(x1) -> a#(b(a(x1))) -> b#(b(a(x1)))
    a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(x1)
    a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(a(a(x1)))
    a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(a(x1))
    a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(x1)
   Arctic Interpretation Processor:
    dimension: 2
    usable rules:
     a(a(b(x1))) -> a(x1)
     a(b(a(x1))) -> b(b(a(x1)))
     b(b(x1)) -> a(a(a(x1)))
    interpretation:
               [0 0]  
     [a](x0) = [0 0]x0,
     
     [b#](x0) = [-& 3 ]x0 + [1],
     
               [-& 1 ]     [2 ]
     [b](x0) = [0  0 ]x0 + [-&],
     
     [a#](x0) = [2 0]x0 + [0]
    orientation:
     a#(a(b(x1))) = [2 3]x1 + [4] >= [2 0]x1 + [0] = a#(x1)
     
     a#(b(a(x1))) = [3 3]x1 + [4] >= [3 3]x1 + [1] = b#(b(a(x1)))
     
     b#(b(x1)) = [3 3]x1 + [1] >= [2 0]x1 + [0] = a#(x1)
     
     b#(b(x1)) = [3 3]x1 + [1] >= [2 2]x1 + [0] = a#(a(x1))
     
     b#(b(x1)) = [3 3]x1 + [1] >= [2 2]x1 + [0] = a#(a(a(x1)))
     
                   [0 1]     [2]    [0 0]          
     a(a(b(x1))) = [0 1]x1 + [2] >= [0 0]x1 = a(x1)
     
                   [1 1]     [2]    [1 1]     [2]              
     a(b(a(x1))) = [1 1]x1 + [2] >= [1 1]x1 + [2] = b(b(a(x1)))
     
                [1 1]     [2]    [0 0]                
     b(b(x1)) = [0 1]x1 + [2] >= [0 0]x1 = a(a(a(x1)))
    problem:
     DPs:
      a#(a(b(x1))) -> a#(x1)
      a#(b(a(x1))) -> b#(b(a(x1)))
     TRS:
      a(a(b(x1))) -> a(x1)
      a(b(a(x1))) -> b(b(a(x1)))
      b(b(x1)) -> a(a(a(x1)))
    Restore Modifier:
     DPs:
      a#(a(b(x1))) -> a#(x1)
      a#(b(a(x1))) -> b#(b(a(x1)))
     TRS:
      a(a(b(x1))) -> a(x1)
      a(b(a(x1))) -> b(b(a(x1)))
      b(b(x1)) -> a(a(a(x1)))
     EDG Processor:
      DPs:
       a#(a(b(x1))) -> a#(x1)
       a#(b(a(x1))) -> b#(b(a(x1)))
      TRS:
       a(a(b(x1))) -> a(x1)
       a(b(a(x1))) -> b(b(a(x1)))

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