SRS Stand 10685 pair #381720807

details

property	value
status	complete
benchmark	size-12-alpha-3-num-44.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n110.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	24.9370810986 seconds
cpu usage	98.315821208
max memory	1.439891456E9

stage attributes

key	value
output-size	4773
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(x1) -> b(c(x1))
 b(b(x1)) -> x1
 c(c(b(x1))) -> 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)))
  TRS:
   a(x1) -> x1
   a(x1) -> b(c(x1))
   b(b(x1)) -> x1
   c(c(b(x1))) -> 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)))
   TRS:
    a(x1) -> x1
    a(x1) -> b(c(x1))
    b(b(x1)) -> x1
    c(c(b(x1))) -> a(a(c(x1)))
   graph:
    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)
    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: 4
    #arcs: 10/25
    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)))
    TRS:
     a(x1) -> x1
     a(x1) -> b(c(x1))
     b(b(x1)) -> x1
     c(c(b(x1))) -> a(a(c(x1)))
    Arctic Interpretation Processor:
     dimension: 2
     usable rules:
      a(x1) -> x1
      a(x1) -> b(c(x1))
      b(b(x1)) -> x1
      c(c(b(x1))) -> a(a(c(x1)))
     interpretation:
      [c#](x0) = [0  -&]x0 + [0],
      
      [a#](x0) = [1 0]x0 + [2],
      
                [-& 0 ]     [1]
      [b](x0) = [0  1 ]x0 + [2],
      
                [-& 0 ]     [0]
      [c](x0) = [0  -&]x0 + [1],
      
                [0  -&]     [1]
      [a](x0) = [1  0 ]x0 + [2]
     orientation:
      c#(c(b(x1))) = [0 1]x1 + [2] >= [0  -&]x1 + [0] = c#(x1)
      
      c#(c(b(x1))) = [0 1]x1 + [2] >= [0 1]x1 + [2] = a#(c(x1))
      
      a#(x1) = [1 0]x1 + [2] >= [0  -&]x1 + [0] = c#(x1)
      
      c#(c(b(x1))) = [0 1]x1 + [2] >= [0 1]x1 + [2] = a#(a(c(x1)))
      
              [0  -&]     [1]           
      a(x1) = [1  0 ]x1 + [2] >= x1 = x1
      
              [0  -&]     [1]    [0  -&]     [1]           
      a(x1) = [1  0 ]x1 + [2] >= [1  0 ]x1 + [2] = b(c(x1))
      
                 [0 1]     [2]

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