SRS Standard pair #487083962

details

property	value
status	complete
benchmark	size-12-alpha-3-num-359.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	49.2212 seconds
cpu usage	194.377
user time	190.282
system time	4.09587
max virtual memory	1.1639632E7
max residence set size	102136.0

stage attributes

key	value
starexec-result	YES

output

YES

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

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

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