TRS Relat 75837 pair #381725037

details

property	value
status	complete
benchmark	#3.7_rand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n004.star.cs.uiowa.edu
space	INVY_15

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	4.08416485786 seconds
cpu usage	15.093740032
max memory	1.091641344E9

stage attributes

key	value
output-size	3643
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:
  half(0()) -> 0()
  half(s(s(x))) -> s(half(x))
  log(s(0())) -> 0()
  log(s(s(x))) -> s(log(s(half(x))))
 weak:
  rand(x) -> x
  rand(x) -> rand(s(x))

Proof:
 Arctic Interpretation Processor:
  dimension: 1
  interpretation:
   [rand](x0) = 2x0,
   
   [log](x0) = x0,
   
   [s](x0) = x0,
   
   [half](x0) = x0,
   
   [0] = 15
  orientation:
   half(0()) = 15 >= 15 = 0()
   
   half(s(s(x))) = x >= x = s(half(x))
   
   log(s(0())) = 15 >= 15 = 0()
   
   log(s(s(x))) = x >= x = s(log(s(half(x))))
   
   rand(x) = 2x >= x = x
   
   rand(x) = 2x >= 2x = rand(s(x))
  problem:
   strict:
    half(0()) -> 0()
    half(s(s(x))) -> s(half(x))
    log(s(0())) -> 0()
    log(s(s(x))) -> s(log(s(half(x))))
   weak:
    rand(x) -> rand(s(x))
  Arctic Interpretation Processor:
   dimension: 1
   interpretation:
    [rand](x0) = x0,
    
    [log](x0) = 4x0,
    
    [s](x0) = x0,
    
    [half](x0) = x0,
    
    [0] = 4
   orientation:
    half(0()) = 4 >= 4 = 0()
    
    half(s(s(x))) = x >= x = s(half(x))
    
    log(s(0())) = 8 >= 4 = 0()
    
    log(s(s(x))) = 4x >= 4x = s(log(s(half(x))))
    
    rand(x) = x >= x = rand(s(x))
   problem:
    strict:
     half(0()) -> 0()
     half(s(s(x))) -> s(half(x))
     log(s(s(x))) -> s(log(s(half(x))))
    weak:
     rand(x) -> rand(s(x))
   Matrix Interpretation Processor: dim=2
    
    interpretation:
                  [2 0]  
     [rand](x0) = [2 0]x0,
     
                 [2 1]     [0]
     [log](x0) = [1 1]x0 + [1],
     
                    [0]
     [s](x0) = x0 + [1],
     
                    
     [half](x0) = x0,
     
           [0]
     [0] = [0]
    orientation:
                 [0]    [0]      
     half(0()) = [0] >= [0] = 0()

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