SRS Standard pair #516974366

details

property	value
status	complete
benchmark	size-12-alpha-2-num-1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	42.945524931 seconds
cpu usage	170.364509893
max memory	1.43407104E9

stage attributes

key	value
output-size	4008
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(a(x1)) -> x1
 a(a(b(x1))) -> b(a(b(a(a(x1)))))
 b(b(x1)) -> x1

Proof:
 DP Processor:
  DPs:
   a#(a(b(x1))) -> a#(x1)
   a#(a(b(x1))) -> a#(a(x1))
   a#(a(b(x1))) -> b#(a(a(x1)))
   a#(a(b(x1))) -> a#(b(a(a(x1))))
   a#(a(b(x1))) -> b#(a(b(a(a(x1)))))
  TRS:
   a(a(x1)) -> x1
   a(a(b(x1))) -> b(a(b(a(a(x1)))))
   b(b(x1)) -> x1
  TDG Processor:
   DPs:
    a#(a(b(x1))) -> a#(x1)
    a#(a(b(x1))) -> a#(a(x1))
    a#(a(b(x1))) -> b#(a(a(x1)))
    a#(a(b(x1))) -> a#(b(a(a(x1))))
    a#(a(b(x1))) -> b#(a(b(a(a(x1)))))
   TRS:
    a(a(x1)) -> x1
    a(a(b(x1))) -> b(a(b(a(a(x1)))))
    b(b(x1)) -> x1
   graph:
    a#(a(b(x1))) -> a#(b(a(a(x1)))) ->
    a#(a(b(x1))) -> b#(a(b(a(a(x1)))))
    a#(a(b(x1))) -> a#(b(a(a(x1)))) ->
    a#(a(b(x1))) -> a#(b(a(a(x1))))
    a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> b#(a(a(x1)))
    a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(a(x1))
    a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(x1)
    a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> b#(a(b(a(a(x1)))))
    a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(b(a(a(x1))))
    a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> b#(a(a(x1)))
    a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(a(x1))
    a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(x1)
    a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> b#(a(b(a(a(x1)))))
    a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(b(a(a(x1))))
    a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> b#(a(a(x1)))
    a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(a(x1))
    a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(x1)
   SCC Processor:
    #sccs: 1
    #rules: 3
    #arcs: 15/25
    DPs:
     a#(a(b(x1))) -> a#(b(a(a(x1))))
     a#(a(b(x1))) -> a#(x1)
     a#(a(b(x1))) -> a#(a(x1))
    TRS:
     a(a(x1)) -> x1
     a(a(b(x1))) -> b(a(b(a(a(x1)))))
     b(b(x1)) -> x1
    Arctic Interpretation Processor:
     dimension: 2
     usable rules:
      a(a(x1)) -> x1
      a(a(b(x1))) -> b(a(b(a(a(x1)))))
      b(b(x1)) -> x1
     interpretation:
                [-& 0 ]     [0]
      [b](x0) = [0  3 ]x0 + [3],
      
                [-& 0 ]     [0]
      [a](x0) = [0  -&]x0 + [0],
      
      [a#](x0) = [2 1]x0 + [0]
     orientation:
      a#(a(b(x1))) = [2 5]x1 + [5] >= [1 4]x1 + [4] = a#(b(a(a(x1))))
      
      a#(a(b(x1))) = [2 5]x1 + [5] >= [2 1]x1 + [0] = a#(x1)
      
      a#(a(b(x1))) = [2 5]x1 + [5] >= [1 2]x1 + [2] = a#(a(x1))
      
                      [0]           
      a(a(x1)) = x1 + [0] >= x1 = x1
      
                    [-& 0 ]     [0]    [-& 0 ]     [0]                    
      a(a(b(x1))) = [0  3 ]x1 + [3] >= [0  3 ]x1 + [3] = b(a(b(a(a(x1)))))
      
                 [0 3]     [3]           
      b(b(x1)) = [3 6]x1 + [6] >= x1 = x1
     problem:
      DPs:
       a#(a(b(x1))) -> a#(x1)
      TRS:
       a(a(x1)) -> x1

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