TRS Relative pair #487520501

details

property	value
status	complete
benchmark	#3.54_rand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	INVY_15

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	2.44822597504 seconds
cpu usage	8.478502277
max memory	9.58844928E8

stage attributes

key	value
output-size	4128
starexec-result	YES

output

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


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YES

Problem:
 strict:
  f(g(x)) -> g(f(f(x)))
  f(h(x)) -> h(g(x))
  f'(s(x),y,y) -> f'(y,x,s(x))
 weak:
  rand(x) -> x
  rand(x) -> rand(s(x))

Proof:
 Matrix Interpretation Processor: dim=2
  
  interpretation:
                      [2 0]     [1 0]     [1 0]  
   [f'](x0, x1, x2) = [0 2]x0 + [0 0]x1 + [0 2]x2,
   
             [1 0]  
   [f](x0) = [2 0]x0,
   
             [1 0]  
   [s](x0) = [0 0]x0,
   
                [3 0]     [2]
   [rand](x0) = [0 2]x0 + [0],
   
               
   [g](x0) = x0,
   
             [1 1]  
   [h](x0) = [2 2]x0
  orientation:
             [1 0]     [1 0]              
   f(g(x)) = [2 0]x >= [2 0]x = g(f(f(x)))
   
             [1 1]     [1 1]           
   f(h(x)) = [2 2]x >= [2 2]x = h(g(x))
   
                  [2 0]    [2 0]     [2 0]    [2 0]                
   f'(s(x),y,y) = [0 0]x + [0 2]y >= [0 0]x + [0 2]y = f'(y,x,s(x))
   
             [3 0]    [2]         
   rand(x) = [0 2]x + [0] >= x = x
   
             [3 0]    [2]    [3 0]    [2]             
   rand(x) = [0 2]x + [0] >= [0 0]x + [0] = rand(s(x))
  problem:
   strict:
    f(g(x)) -> g(f(f(x)))
    f(h(x)) -> h(g(x))
    f'(s(x),y,y) -> f'(y,x,s(x))
   weak:
    rand(x) -> rand(s(x))
  Matrix Interpretation Processor: dim=2
   
   interpretation:
                       [2 1]     [1 2]     [1 0]     [1]
    [f'](x0, x1, x2) = [3 1]x0 + [1 0]x1 + [2 1]x2 + [0],
    
              [1 0]     [0]
    [f](x0) = [0 0]x0 + [2],
    
              [1 0]     [0]
    [s](x0) = [0 2]x0 + [2],
    
                 [1 0]     [1]
    [rand](x0) = [0 0]x0 + [0],
    
              [1 0]  
    [g](x0) = [0 0]x0,
    
              [1 3]     [2]
    [h](x0) = [0 0]x0 + [0]
   orientation:
              [1 0]    [0]    [1 0]              
    f(g(x)) = [0 0]x + [2] >= [0 0]x = g(f(f(x)))
    
              [1 3]    [2]    [1 0]    [2]          
    f(h(x)) = [0 0]x + [2] >= [0 0]x + [0] = h(g(x))
    
                   [2 2]    [2 2]    [3]    [2 2]    [2 1]    [1]               
    f'(s(x),y,y) = [3 2]x + [3 1]y + [2] >= [3 2]x + [3 1]y + [2] = f'(y,x,s(x))
    
              [1 0]    [1]    [1 0]    [1]             
    rand(x) = [0 0]x + [0] >= [0 0]x + [0] = rand(s(x))
   problem:
    strict:
     f(g(x)) -> g(f(f(x)))
     f(h(x)) -> h(g(x))
    weak:
     rand(x) -> rand(s(x))
   Matrix Interpretation Processor: dim=2

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