SRS Standard pair #487092152

details

property	value
status	complete
benchmark	size-11-alpha-3-num-13.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Waldmann_07_size11

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	43.5958 seconds
cpu usage	170.545
user time	167.637
system time	2.90848
max virtual memory	1.1645844E7
max residence set size	101900.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem:
 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) -> 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) -> 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) -> b(c(x1))
     b(b(x1)) -> x1
     c(c(b(x1))) -> 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(c(x1)))
     interpretation:
      [c#](x0) = [0  -&]x0,
      
                [-& 0 ]     [1]
      [c](x0) = [0  -&]x0 + [1],
      
      [a#](x0) = [1 0]x0 + [0],
      
                [0  -&]     [1]
      [a](x0) = [2  0 ]x0 + [3],
      
                [-& 0 ]     [0]
      [b](x0) = [0  2 ]x0 + [3]
     orientation:
      c#(c(b(x1))) = [0 2]x1 + [3] >= [0  -&]x1 = c#(x1)
      
      c#(c(b(x1))) = [0 2]x1 + [3] >= [0 1]x1 + [2] = a#(c(x1))
      
      a#(x1) = [1 0]x1 + [0] >= [0  -&]x1 = c#(x1)
      
      c#(c(b(x1))) = [0 2]x1 + [3] >= [0 2]x1 + [3] = a#(a(c(x1)))
      
              [0  -&]     [1]    [0  -&]     [1]           
      a(x1) = [2  0 ]x1 + [3] >= [2  0 ]x1 + [3] = b(c(x1))
      
                 [0 2]     [3]           
      b(b(x1)) = [2 4]x1 + [5] >= x1 = x1
      
                    [-& 0 ]     [1]    [-& 0 ]     [1]              
      c(c(b(x1))) = [0  2 ]x1 + [3] >= [0  2 ]x1 + [3] = a(a(c(x1)))
     problem:
      DPs:
       c#(c(b(x1))) -> c#(x1)
       c#(c(b(x1))) -> a#(c(x1))
       c#(c(b(x1))) -> a#(a(c(x1)))
      TRS:
       a(x1) -> b(c(x1))
       b(b(x1)) -> x1
       c(c(b(x1))) -> a(a(c(x1)))
     Restore Modifier:

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