TRS Stand 20472 pair #381715061

details

property	value
status	complete
benchmark	2.14.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	SK90

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	0.572726011276 seconds
cpu usage	1.091906688
max memory	1.5693824E8

stage attributes

key	value
output-size	3234
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


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


YES

Problem:
 double(0()) -> 0()
 double(s(x)) -> s(s(double(x)))
 half(0()) -> 0()
 half(s(0())) -> 0()
 half(s(s(x))) -> s(half(x))
 -(x,0()) -> x
 -(s(x),s(y)) -> -(x,y)
 if(0(),y,z) -> y
 if(s(x),y,z) -> z
 half(double(x)) -> x

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [if](x0, x1, x2) = x0 + x1 + 4x2 + 4,
   
   [-](x0, x1) = x0 + x1 + 1,
   
   [half](x0) = x0,
   
   [s](x0) = x0,
   
   [double](x0) = x0 + 3,
   
   [0] = 6
  orientation:
   double(0()) = 9 >= 6 = 0()
   
   double(s(x)) = x + 3 >= x + 3 = s(s(double(x)))
   
   half(0()) = 6 >= 6 = 0()
   
   half(s(0())) = 6 >= 6 = 0()
   
   half(s(s(x))) = x >= x = s(half(x))
   
   -(x,0()) = x + 7 >= x = x
   
   -(s(x),s(y)) = x + y + 1 >= x + y + 1 = -(x,y)
   
   if(0(),y,z) = y + 4z + 10 >= y = y
   
   if(s(x),y,z) = x + y + 4z + 4 >= z = z
   
   half(double(x)) = x + 3 >= x = x
  problem:
   double(s(x)) -> s(s(double(x)))
   half(0()) -> 0()
   half(s(0())) -> 0()
   half(s(s(x))) -> s(half(x))
   -(s(x),s(y)) -> -(x,y)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                  [1 0 0]     [1 0 0]     [1]
    [-](x0, x1) = [0 0 0]x0 + [1 0 0]x1 + [1]
                  [1 0 0]     [0 0 0]     [0],
    
                 [1 0 0]     [1]
    [half](x0) = [1 0 0]x0 + [1]
                 [0 0 0]     [1],
    
              [1 0 0]  
    [s](x0) = [1 0 0]x0
              [0 0 0]  ,
    
                   [1 0 0]     [1]
    [double](x0) = [1 0 0]x0 + [1]
                   [1 0 0]     [1],
    
          [0]
    [0] = [0]
          [0]
   orientation:
                   [1 0 0]    [1]    [1 0 0]    [1]                  
    double(s(x)) = [1 0 0]x + [1] >= [1 0 0]x + [1] = s(s(double(x)))
                   [1 0 0]    [1]    [0 0 0]    [0]                  
    
                [1]    [0]      
    half(0()) = [1] >= [0] = 0()
                [1]    [0]      
    
                   [1]    [0]      
    half(s(0())) = [1] >= [0] = 0()
                   [1]    [0]      
    
                    [1 0 0]    [1]    [1 0 0]    [1]             
    half(s(s(x))) = [1 0 0]x + [1] >= [1 0 0]x + [1] = s(half(x))
                    [0 0 0]    [1]    [0 0 0]    [0]

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