TRS Relative pair #487520624

details

property	value
status	complete
benchmark	#3.37_rand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	INVY_15

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.8039021492 seconds
cpu usage	6.117103892
max memory	7.3844736E8

stage attributes

key	value
output-size	4720
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


YES

Problem:
 strict:
  not(true()) -> false()
  not(false()) -> true()
  evenodd(x,0()) -> not(evenodd(x,s(0())))
  evenodd(0(),s(0())) -> false()
  evenodd(s(x),s(0())) -> evenodd(x,0())
 weak:
  rand(x) -> x
  rand(x) -> rand(s(x))

Proof:
 Matrix Interpretation Processor: dim=2
  
  interpretation:
                       [2 0]     [1 1]     [0]
   [evenodd](x0, x1) = [0 0]x0 + [0 0]x1 + [3],
   
               [1 0]     [0]
   [not](x0) = [0 0]x0 + [1],
   
         [0]
   [0] = [2],
   
             [1 1]  
   [s](x0) = [0 0]x0,
   
            [0]
   [true] = [1],
   
                [2 2]     [2]
   [rand](x0) = [0 2]x0 + [1],
   
             [0]
   [false] = [0]
  orientation:
                 [0]    [0]          
   not(true()) = [1] >= [0] = false()
   
                  [0]    [0]         
   not(false()) = [1] >= [1] = true()
   
                    [2 0]    [2]    [2 0]    [2]                         
   evenodd(x,0()) = [0 0]x + [3] >= [0 0]x + [1] = not(evenodd(x,s(0())))
   
                         [2]    [0]          
   evenodd(0(),s(0())) = [3] >= [0] = false()
   
                          [2 2]    [2]    [2 0]    [2]                 
   evenodd(s(x),s(0())) = [0 0]x + [3] >= [0 0]x + [3] = evenodd(x,0())
   
             [2 2]    [2]         
   rand(x) = [0 2]x + [1] >= x = x
   
             [2 2]    [2]    [2 2]    [2]             
   rand(x) = [0 2]x + [1] >= [0 0]x + [1] = rand(s(x))
  problem:
   strict:
    not(true()) -> false()
    not(false()) -> true()
    evenodd(x,0()) -> not(evenodd(x,s(0())))
    evenodd(s(x),s(0())) -> evenodd(x,0())
   weak:
    rand(x) -> rand(s(x))
  Matrix Interpretation Processor: dim=2
   
   interpretation:
                        [1 0]     [2 0]  
    [evenodd](x0, x1) = [0 0]x0 + [0 0]x1,
    
                [1 2]  
    [not](x0) = [0 1]x0,
    
          [0]
    [0] = [0],
    
              [1 0]  
    [s](x0) = [0 0]x0,
    
             [1]
    [true] = [1],
    
                 [1 2]  
    [rand](x0) = [0 1]x0,
    
              [0]
    [false] = [1]
   orientation:
                  [3]    [0]          
    not(true()) = [1] >= [1] = false()
    
                   [2]    [1]

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