SRS Standard pair #516975176

details

property	value
status	complete
benchmark	size-12-alpha-3-num-460.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n128.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	45.170568943 seconds
cpu usage	178.935752544
max memory	1.811673088E9

stage attributes

key	value
output-size	4544
starexec-result	YES

output

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


--------------------------------------------------------------------------------


YES

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

Proof:
 DP Processor:
  DPs:
   a#(x1) -> c#(x1)
   a#(x1) -> b#(c(x1))
   c#(c(b(x1))) -> c#(x1)
   c#(c(b(x1))) -> a#(c(x1))
   c#(c(b(x1))) -> a#(a(c(x1)))
   c#(c(b(x1))) -> a#(a(a(c(x1))))
  TRS:
   a(x1) -> b(c(x1))
   b(b(x1)) -> x1
   c(c(b(x1))) -> a(a(a(c(x1))))
  TDG Processor:
   DPs:
    a#(x1) -> c#(x1)
    a#(x1) -> b#(c(x1))
    c#(c(b(x1))) -> c#(x1)
    c#(c(b(x1))) -> a#(c(x1))
    c#(c(b(x1))) -> a#(a(c(x1)))
    c#(c(b(x1))) -> a#(a(a(c(x1))))
   TRS:
    a(x1) -> b(c(x1))
    b(b(x1)) -> x1
    c(c(b(x1))) -> a(a(a(c(x1))))
   graph:
    c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(a(a(c(x1))))
    c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(a(c(x1)))
    c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(c(x1))
    c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1)
    c#(c(b(x1))) -> a#(c(x1)) -> a#(x1) -> b#(c(x1))
    c#(c(b(x1))) -> a#(c(x1)) -> a#(x1) -> c#(x1)
    c#(c(b(x1))) -> a#(a(c(x1))) -> a#(x1) -> b#(c(x1))
    c#(c(b(x1))) -> a#(a(c(x1))) -> a#(x1) -> c#(x1)
    c#(c(b(x1))) -> a#(a(a(c(x1)))) -> a#(x1) -> b#(c(x1))
    c#(c(b(x1))) -> a#(a(a(c(x1)))) -> a#(x1) -> c#(x1)
    a#(x1) -> c#(x1) -> c#(c(b(x1))) -> a#(a(a(c(x1))))
    a#(x1) -> c#(x1) -> c#(c(b(x1))) -> a#(a(c(x1)))
    a#(x1) -> c#(x1) -> c#(c(b(x1))) -> a#(c(x1))
    a#(x1) -> c#(x1) -> c#(c(b(x1))) -> c#(x1)
   SCC Processor:
    #sccs: 1
    #rules: 5
    #arcs: 14/36
    DPs:
     c#(c(b(x1))) -> c#(x1)
     c#(c(b(x1))) -> a#(c(x1))
     a#(x1) -> c#(x1)
     c#(c(b(x1))) -> a#(a(c(x1)))
     c#(c(b(x1))) -> a#(a(a(c(x1))))
    TRS:
     a(x1) -> b(c(x1))
     b(b(x1)) -> x1
     c(c(b(x1))) -> a(a(a(c(x1))))
    Arctic Interpretation Processor:
     dimension: 2
     usable rules:
      a(x1) -> b(c(x1))
      b(b(x1)) -> x1
      c(c(b(x1))) -> a(a(a(c(x1))))
     interpretation:
      [c#](x0) = [0 1]x0 + [0],
      
                [-& 0 ]     [0 ]
      [c](x0) = [0  -&]x0 + [-&],
      
      [a#](x0) = [0 1]x0 + [1],
      
                [0  1 ]     [1]
      [a](x0) = [-& 0 ]x0 + [0],
      
                [1  0 ]     [1 ]
      [b](x0) = [0  -&]x0 + [-&]
     orientation:
      c#(c(b(x1))) = [2 1]x1 + [2] >= [0 1]x1 + [0] = c#(x1)
      
      c#(c(b(x1))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(c(x1))
      
      a#(x1) = [0 1]x1 + [1] >= [0 1]x1 + [0] = c#(x1)
      
      c#(c(b(x1))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(a(c(x1)))
      
      c#(c(b(x1))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(a(a(c(x1))))
      
              [0  1 ]     [1]    [0  1 ]     [1]           
      a(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = b(c(x1))

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to SRS Standard