SRS Standard pair #487512501

details

property	value
status	complete
benchmark	size-12-alpha-3-num-495.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n111.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	48.6171410084 seconds
cpu usage	192.976688324
max memory	1.835798528E9

stage attributes

key	value
output-size	5486
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)) -> b(x1)
 b(c(x1)) -> a(x1)
 c(b(x1)) -> b(c(c(a(x1))))

Proof:
 DP Processor:
  DPs:
   a#(a(x1)) -> b#(x1)
   b#(c(x1)) -> a#(x1)
   c#(b(x1)) -> a#(x1)
   c#(b(x1)) -> c#(a(x1))
   c#(b(x1)) -> c#(c(a(x1)))
   c#(b(x1)) -> b#(c(c(a(x1))))
  TRS:
   a(a(x1)) -> b(x1)
   b(c(x1)) -> a(x1)
   c(b(x1)) -> b(c(c(a(x1))))
  TDG Processor:
   DPs:
    a#(a(x1)) -> b#(x1)
    b#(c(x1)) -> a#(x1)
    c#(b(x1)) -> a#(x1)
    c#(b(x1)) -> c#(a(x1))
    c#(b(x1)) -> c#(c(a(x1)))
    c#(b(x1)) -> b#(c(c(a(x1))))
   TRS:
    a(a(x1)) -> b(x1)
    b(c(x1)) -> a(x1)
    c(b(x1)) -> b(c(c(a(x1))))
   graph:
    c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> b#(c(c(a(x1))))
    c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> c#(c(a(x1)))
    c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> c#(a(x1))
    c#(b(x1)) -> c#(c(a(x1))) -> c#(b(x1)) -> a#(x1)
    c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> b#(c(c(a(x1))))
    c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> c#(c(a(x1)))
    c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> c#(a(x1))
    c#(b(x1)) -> c#(a(x1)) -> c#(b(x1)) -> a#(x1)
    c#(b(x1)) -> b#(c(c(a(x1)))) -> b#(c(x1)) -> a#(x1)
    c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1)
    b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1)
    a#(a(x1)) -> b#(x1) -> b#(c(x1)) -> a#(x1)
   SCC Processor:
    #sccs: 2
    #rules: 4
    #arcs: 12/36
    DPs:
     c#(b(x1)) -> c#(c(a(x1)))
     c#(b(x1)) -> c#(a(x1))
    TRS:
     a(a(x1)) -> b(x1)
     b(c(x1)) -> a(x1)
     c(b(x1)) -> b(c(c(a(x1))))
    Arctic Interpretation Processor:
     dimension: 3
     usable rules:
      a(a(x1)) -> b(x1)
      b(c(x1)) -> a(x1)
      c(b(x1)) -> b(c(c(a(x1))))
     interpretation:
                [0 0 1]     [1 ]
      [b](x0) = [0 0 0]x0 + [-&]
                [0 1 0]     [0 ],
      
      [c#](x0) = [0  -& 0 ]x0 + [0],
      
                [-& -& 0 ]     [0 ]
      [a](x0) = [-& -& 0 ]x0 + [-&]
                [0  0  1 ]     [1 ],
      
                [0  0  -&]     [0]
      [c](x0) = [0  -& 0 ]x0 + [0]
                [0  -& -&]     [0]
     orientation:
      c#(b(x1)) = [0 1 1]x1 + [1] >= [-& -& 0 ]x1 + [0] = c#(c(a(x1)))
      
      c#(b(x1)) = [0 1 1]x1 + [1] >= [0 0 1]x1 + [1] = c#(a(x1))
      
                 [0 0 1]     [1]    [0 0 1]     [1 ]        
      a(a(x1)) = [0 0 1]x1 + [1] >= [0 0 0]x1 + [-&] = b(x1)
                 [1 1 2]     [2]    [0 1 0]     [0 ]        
      
                 [1 0 0]     [1]    [-& -& 0 ]     [0 ]        
      b(c(x1)) = [0 0 0]x1 + [0] >= [-& -& 0 ]x1 + [-&] = a(x1)
                 [1 0 1]     [1]    [0  0  1 ]     [1 ]        
      
                 [0 0 1]     [1]    [0 0 1]     [1]                 
      c(b(x1)) = [0 1 1]x1 + [1] >= [0 0 1]x1 + [1] = b(c(c(a(x1))))
                 [0 0 1]     [1]    [0 0 1]     [1]                 
     problem:
      DPs:

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