SRS Standard pair #487085696

details

property	value
status	complete
benchmark	18.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Bouchare_06

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	48.2279 seconds
cpu usage	189.39
user time	184.29
system time	5.1006
max virtual memory	1.1569432E7
max residence set size	132880.0

stage attributes

key	value
starexec-result	YES

output

YES

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

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

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