SRS Stand 10685 pair #381720867

details

property	value
status	complete
benchmark	size-12-alpha-3-num-168.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n023.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	24.2307109833 seconds
cpu usage	95.528427113
max memory	1.43273984E9

stage attributes

key	value
output-size	4590
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)) -> b(a(c(a(x1))))
 b(x1) -> x1
 c(c(c(x1))) -> b(x1)

Proof:
 String Reversal Processor:
  a(x1) -> x1
  b(a(x1)) -> a(c(a(b(x1))))
  b(x1) -> x1
  c(c(c(x1))) -> b(x1)
  DP Processor:
   DPs:
    b#(a(x1)) -> b#(x1)
    b#(a(x1)) -> a#(b(x1))
    b#(a(x1)) -> c#(a(b(x1)))
    b#(a(x1)) -> a#(c(a(b(x1))))
    c#(c(c(x1))) -> b#(x1)
   TRS:
    a(x1) -> x1
    b(a(x1)) -> a(c(a(b(x1))))
    b(x1) -> x1
    c(c(c(x1))) -> b(x1)
   TDG Processor:
    DPs:
     b#(a(x1)) -> b#(x1)
     b#(a(x1)) -> a#(b(x1))
     b#(a(x1)) -> c#(a(b(x1)))
     b#(a(x1)) -> a#(c(a(b(x1))))
     c#(c(c(x1))) -> b#(x1)
    TRS:
     a(x1) -> x1
     b(a(x1)) -> a(c(a(b(x1))))
     b(x1) -> x1
     c(c(c(x1))) -> b(x1)
    graph:
     c#(c(c(x1))) -> b#(x1) -> b#(a(x1)) -> a#(c(a(b(x1))))
     c#(c(c(x1))) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1)))
     c#(c(c(x1))) -> b#(x1) -> b#(a(x1)) -> a#(b(x1))
     c#(c(c(x1))) -> b#(x1) -> b#(a(x1)) -> b#(x1)
     b#(a(x1)) -> c#(a(b(x1))) -> c#(c(c(x1))) -> b#(x1)
     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(c(a(b(x1))))
     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1)))
     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1))
     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1)
    SCC Processor:
     #sccs: 1
     #rules: 3
     #arcs: 9/25
     DPs:
      c#(c(c(x1))) -> b#(x1)
      b#(a(x1)) -> b#(x1)
      b#(a(x1)) -> c#(a(b(x1)))
     TRS:
      a(x1) -> x1
      b(a(x1)) -> a(c(a(b(x1))))
      b(x1) -> x1
      c(c(c(x1))) -> b(x1)
     Arctic Interpretation Processor:
      dimension: 2
      usable rules:
       a(x1) -> x1
       b(a(x1)) -> a(c(a(b(x1))))
       b(x1) -> x1
       c(c(c(x1))) -> b(x1)
      interpretation:
       [c#](x0) = [-& 1 ]x0 + [2],
       
       [b#](x0) = [0 3]x0 + [0],
       
                 [-& 0 ]     [0 ]
       [c](x0) = [0  2 ]x0 + [-&],
       
                 [2  -&]     [-&]
       [b](x0) = [2  0 ]x0 + [1 ],
       
                 [2 0]     [2]
       [a](x0) = [0 0]x0 + [2]
      orientation:
       c#(c(c(x1))) = [3 5]x1 + [2] >= [0 3]x1 + [0] = b#(x1)
       
       b#(a(x1)) = [3 3]x1 + [5] >= [0 3]x1 + [0] = b#(x1)
       
       b#(a(x1)) = [3 3]x1 + [5] >= [3 1]x1 + [3] = c#(a(b(x1)))
       
               [2 0]     [2]           
       a(x1) = [0 0]x1 + [2] >= x1 = x1
       
                  [4 2]     [4]    [4 2]     [4]                 
       b(a(x1)) = [4 2]x1 + [4] >= [4 2]x1 + [4] = a(c(a(b(x1))))

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