SRS Standard pair #516975014

details

property	value
status	complete
benchmark	size-12-alpha-3-num-503.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n175.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	47.8405911922 seconds
cpu usage	189.806638915
max memory	2.093047808E9

stage attributes

key	value
output-size	5557
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

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

Proof:
 DP Processor:
  DPs:
   a#(a(x1)) -> b#(c(x1))
   a#(a(x1)) -> b#(b(c(x1)))
   a#(a(x1)) -> b#(b(b(c(x1))))
   b#(c(b(x1))) -> b#(c(x1))
   b#(c(b(x1))) -> a#(b(c(x1)))
  TRS:
   a(a(x1)) -> b(b(b(c(x1))))
   b(c(b(x1))) -> a(b(c(x1)))
  TDG Processor:
   DPs:
    a#(a(x1)) -> b#(c(x1))
    a#(a(x1)) -> b#(b(c(x1)))
    a#(a(x1)) -> b#(b(b(c(x1))))
    b#(c(b(x1))) -> b#(c(x1))
    b#(c(b(x1))) -> a#(b(c(x1)))
   TRS:
    a(a(x1)) -> b(b(b(c(x1))))
    b(c(b(x1))) -> a(b(c(x1)))
   graph:
    b#(c(b(x1))) -> b#(c(x1)) -> b#(c(b(x1))) -> a#(b(c(x1)))
    b#(c(b(x1))) -> b#(c(x1)) -> b#(c(b(x1))) -> b#(c(x1))
    b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(b(b(c(x1))))
    b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(b(c(x1)))
    b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(c(x1))
    a#(a(x1)) -> b#(b(b(c(x1)))) -> b#(c(b(x1))) -> a#(b(c(x1)))
    a#(a(x1)) -> b#(b(b(c(x1)))) -> b#(c(b(x1))) -> b#(c(x1))
    a#(a(x1)) -> b#(b(c(x1))) -> b#(c(b(x1))) -> a#(b(c(x1)))
    a#(a(x1)) -> b#(b(c(x1))) -> b#(c(b(x1))) -> b#(c(x1))
    a#(a(x1)) -> b#(c(x1)) -> b#(c(b(x1))) -> a#(b(c(x1)))
    a#(a(x1)) -> b#(c(x1)) -> b#(c(b(x1))) -> b#(c(x1))
   EDG Processor:
    DPs:
     a#(a(x1)) -> b#(c(x1))
     a#(a(x1)) -> b#(b(c(x1)))
     a#(a(x1)) -> b#(b(b(c(x1))))
     b#(c(b(x1))) -> b#(c(x1))
     b#(c(b(x1))) -> a#(b(c(x1)))
    TRS:
     a(a(x1)) -> b(b(b(c(x1))))
     b(c(b(x1))) -> a(b(c(x1)))
    graph:
     b#(c(b(x1))) -> b#(c(x1)) -> b#(c(b(x1))) -> b#(c(x1))
     b#(c(b(x1))) -> b#(c(x1)) -> b#(c(b(x1))) -> a#(b(c(x1)))
     b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(c(x1))
     b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(b(c(x1)))
     b#(c(b(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(b(b(c(x1))))
     a#(a(x1)) -> b#(c(x1)) -> b#(c(b(x1))) -> b#(c(x1))
     a#(a(x1)) -> b#(c(x1)) -> b#(c(b(x1))) -> a#(b(c(x1)))
    SCC Processor:
     #sccs: 1
     #rules: 3
     #arcs: 7/25
     DPs:
      b#(c(b(x1))) -> b#(c(x1))
      b#(c(b(x1))) -> a#(b(c(x1)))
      a#(a(x1)) -> b#(c(x1))
     TRS:
      a(a(x1)) -> b(b(b(c(x1))))
      b(c(b(x1))) -> a(b(c(x1)))
     Arctic Interpretation Processor:
      dimension: 4
      usable rules:
       a(a(x1)) -> b(b(b(c(x1))))
       b(c(b(x1))) -> a(b(c(x1)))
      interpretation:
       [b#](x0) = [-& 0  0  0 ]x0 + [0],
       
                 [-& 1  0  0 ]     [0 ]
                 [-& -& -& -&]     [-&]
       [c](x0) = [-& 0  0  0 ]x0 + [0 ]
                 [-& 0  0  -&]     [0 ],
       
       [a#](x0) = [0 0 0 0]x0 + [0],
       
                 [0  1  1  1 ]     [1]
                 [0  0  0  0 ]     [0]
       [a](x0) = [0  0  0  0 ]x0 + [0]
                 [0  0  -& 0 ]     [0],
       
                 [0  0  0  0 ]     [0]
                 [-& -& 0  0 ]     [0]
       [b](x0) = [-& 0  0  0 ]x0 + [0]
                 [-& 1  0  0 ]     [0]
      orientation:
       b#(c(b(x1))) = [-& 1  0  0 ]x1 + [0] >= [-& 0  0  0 ]x1 + [0] = b#(c(x1))

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