SRS Standard pair #487513623

details

property	value
status	complete
benchmark	size-12-alpha-2-num-16.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n093.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	47.3571529388 seconds
cpu usage	187.971455218
max memory	1.656578048E9

stage attributes

key	value
output-size	7379
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:
 a(x1) -> x1
 a(a(x1)) -> b(x1)
 b(a(b(x1))) -> a(a(b(b(b(x1)))))

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

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