SRS Stand 10685 pair #381718115

details

property	value
status	complete
benchmark	11.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n190.star.cs.uiowa.edu
space	Bouchare_06

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	25.7227230072 seconds
cpu usage	101.468607024
max memory	1.400205312E9

stage attributes

key	value
output-size	4429
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

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

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

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