TRS Relat 75837 pair #381725061

details

property	value
status	complete
benchmark	#3.24_rand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n095.star.cs.uiowa.edu
space	INVY_15

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	3.1907248497 seconds
cpu usage	11.116831314
max memory	9.06981376E8

stage attributes

key	value
output-size	3633
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:
 strict:
  f(0()) -> s(0())
  f(s(0())) -> s(0())
  f(s(s(x))) -> f(f(s(x)))
 weak:
  rand(x) -> x
  rand(x) -> rand(s(x))

Proof:
 Arctic Interpretation Processor:
  dimension: 2
  interpretation:
                [1 1]  
   [rand](x0) = [7 7]x0,
   
             [0  -&]  
   [s](x0) = [0  0 ]x0,
   
             [0  0 ]  
   [f](x0) = [-& 0 ]x0,
   
         [4]
   [0] = [4]
  orientation:
            [4]    [4]         
   f(0()) = [4] >= [4] = s(0())
   
               [4]    [4]         
   f(s(0())) = [4] >= [4] = s(0())
   
                [0 0]     [0 0]              
   f(s(s(x))) = [0 0]x >= [0 0]x = f(f(s(x)))
   
             [1 1]          
   rand(x) = [7 7]x >= x = x
   
             [1 1]     [1 1]              
   rand(x) = [7 7]x >= [7 7]x = rand(s(x))
  problem:
   strict:
    f(0()) -> s(0())
    f(s(0())) -> s(0())
    f(s(s(x))) -> f(f(s(x)))
   weak:
    rand(x) -> rand(s(x))
  Matrix Interpretation Processor: dim=2
   
   interpretation:
                 [1 0]  
    [rand](x0) = [0 2]x0,
    
              [1 0]  
    [s](x0) = [0 0]x0,
    
              [1 2]  
    [f](x0) = [0 0]x0,
    
          [0]
    [0] = [1]
   orientation:
             [2]    [0]         
    f(0()) = [0] >= [0] = s(0())
    
                [0]    [0]         
    f(s(0())) = [0] >= [0] = s(0())
    
                 [1 0]     [1 0]              
    f(s(s(x))) = [0 0]x >= [0 0]x = f(f(s(x)))
    
              [1 0]     [1 0]              
    rand(x) = [0 2]x >= [0 0]x = rand(s(x))
   problem:
    strict:
     f(s(0())) -> s(0())
     f(s(s(x))) -> f(f(s(x)))
    weak:
     rand(x) -> rand(s(x))
   Arctic Interpretation Processor:
    dimension: 2
    interpretation:
                  [0  -&]  
     [rand](x0) = [-& -&]x0,
     
               [0  -&]  
     [s](x0) = [6  2 ]x0,
     
               [1  1 ]  
     [f](x0) = [-& 0 ]x0,
     
           [0]
     [0] = [6]

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