SRS Stand 10685 pair #381718252

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	n050.star.cs.uiowa.edu
space	Bouchare_06

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	25.9616010189 seconds
cpu usage	102.451744126
max memory	1.572245504E9

stage attributes

key	value
output-size	6114
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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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:
     [b#](x0) = [-& 0 ]x0 + [0],
     
     [a#](x0) = [-& 0 ]x0 + [0],
     
               [0 0]     [0]
     [b](x0) = [2 0]x0 + [3],
     
               [0 0]     [0]
     [a](x0) = [0 0]x0 + [0]
    orientation:
     a#(b(a(x1))) = [2 2]x1 + [3] >= [2 2]x1 + [3] = b#(b(a(x1)))
     
     b#(b(b(x1))) = [2 2]x1 + [3] >= [-& 0 ]x1 + [0] = a#(x1)
     
     b#(b(b(x1))) = [2 2]x1 + [3] >= [0 0]x1 + [0] = b#(a(x1))
     
     b#(b(x1)) = [2 0]x1 + [3] >= [-& 0 ]x1 + [0] = a#(x1)
     
     b#(b(x1)) = [2 0]x1 + [3] >= [0 0]x1 + [0] = a#(a(x1))
     
     b#(b(x1)) = [2 0]x1 + [3] >= [0 0]x1 + [0] = a#(a(a(x1)))
     
                   [2 2]     [3]    [2 2]     [3]              
     a(b(a(x1))) = [2 2]x1 + [3] >= [2 2]x1 + [3] = b(b(a(x1)))
     
                   [2 2]     [3]    [0 0]     [0]           
     b(b(b(x1))) = [4 2]x1 + [5] >= [2 2]x1 + [3] = b(a(x1))
     
                [2 0]     [3]    [0 0]     [0]              
     b(b(x1)) = [2 2]x1 + [3] >= [0 0]x1 + [0] = a(a(a(x1)))
    problem:
     DPs:
      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(b(a(x1))) -> b(b(a(x1)))
      b(b(b(x1))) -> b(a(x1))
      b(b(x1)) -> a(a(a(x1)))

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