SRS Stand 10685 pair #381722997

details

property	value
status	complete
benchmark	size-12-alpha-3-num-286.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n088.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	25.0690851212 seconds
cpu usage	98.651330385
max memory	1.631756288E9

stage attributes

key	value
output-size	3702
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(x1) -> x1
 a(b(x1)) -> c(b(c(a(x1))))
 c(c(x1)) -> c(b(a(x1)))

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

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