SRS Standard pair #487083830

details

property	value
status	complete
benchmark	size-12-alpha-3-num-468.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n148.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	44.2785 seconds
cpu usage	173.038
user time	170.093
system time	2.94488
max virtual memory	1.0956924E7
max residence set size	116396.0

stage attributes

key	value
starexec-result	YES

output

YES

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

Proof:
 DP Processor:
  DPs:
   a#(x1) -> c#(x1)
   a#(x1) -> b#(c(x1))
   a#(x1) -> c#(b(c(x1)))
   a#(x1) -> b#(c(b(c(x1))))
   c#(c(b(x1))) -> c#(x1)
   c#(c(b(x1))) -> a#(c(x1))
  TRS:
   a(x1) -> b(c(b(c(x1))))
   b(b(x1)) -> x1
   c(c(b(x1))) -> a(c(x1))
  TDG Processor:
   DPs:
    a#(x1) -> c#(x1)
    a#(x1) -> b#(c(x1))
    a#(x1) -> c#(b(c(x1)))
    a#(x1) -> b#(c(b(c(x1))))
    c#(c(b(x1))) -> c#(x1)
    c#(c(b(x1))) -> a#(c(x1))
   TRS:
    a(x1) -> b(c(b(c(x1))))
    b(b(x1)) -> x1
    c(c(b(x1))) -> a(c(x1))
   graph:
    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(b(c(x1))))
    c#(c(b(x1))) -> a#(c(x1)) -> a#(x1) -> c#(b(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)
    a#(x1) -> c#(b(c(x1))) -> c#(c(b(x1))) -> a#(c(x1))
    a#(x1) -> c#(b(c(x1))) -> c#(c(b(x1))) -> 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: 10/36
    DPs:
     c#(c(b(x1))) -> c#(x1)
     c#(c(b(x1))) -> a#(c(x1))
     a#(x1) -> c#(x1)
     a#(x1) -> c#(b(c(x1)))
    TRS:
     a(x1) -> b(c(b(c(x1))))
     b(b(x1)) -> x1
     c(c(b(x1))) -> a(c(x1))
    Arctic Interpretation Processor:
     dimension: 2
     usable rules:
      a(x1) -> b(c(b(c(x1))))
      b(b(x1)) -> x1
      c(c(b(x1))) -> a(c(x1))
     interpretation:
      [c#](x0) = [-& 0 ]x0 + [1],
      
                [-& 0 ]     [1]
      [c](x0) = [0  -&]x0 + [1],
      
      [a#](x0) = [-& 0 ]x0 + [1],
      
                [0  2 ]     [3]
      [a](x0) = [-& 0 ]x0 + [1],
      
                [2  0 ]     [3]
      [b](x0) = [0  -&]x0 + [0]
     orientation:
      c#(c(b(x1))) = [2 0]x1 + [3] >= [-& 0 ]x1 + [1] = c#(x1)
      
      c#(c(b(x1))) = [2 0]x1 + [3] >= [0  -&]x1 + [1] = a#(c(x1))
      
      a#(x1) = [-& 0 ]x1 + [1] >= [-& 0 ]x1 + [1] = c#(x1)
      
      a#(x1) = [-& 0 ]x1 + [1] >= [-& 0 ]x1 + [1] = c#(b(c(x1)))
      
              [0  2 ]     [3]    [0  2 ]     [3]                 
      a(x1) = [-& 0 ]x1 + [1] >= [-& 0 ]x1 + [1] = b(c(b(c(x1))))
      
                 [4 2]     [5]           
      b(b(x1)) = [2 0]x1 + [3] >= x1 = x1
      
                    [2  0 ]     [3]    [2  0 ]     [3]           
      c(c(b(x1))) = [0  -&]x1 + [1] >= [0  -&]x1 + [1] = a(c(x1))
     problem:
      DPs:
       c#(c(b(x1))) -> c#(x1)
       a#(x1) -> c#(x1)
       a#(x1) -> c#(b(c(x1)))
      TRS:
       a(x1) -> b(c(b(c(x1))))
       b(b(x1)) -> x1

popout

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

job log

popout

actions all output return to SRS Standard