SRS Relative pair #487082050

details

property	value
status	complete
benchmark	r3.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n148.star.cs.uiowa.edu
space	Waldmann_06_relative

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.49732 seconds
cpu usage	4.88188
user time	4.00028
system time	0.881601
max virtual memory	6494704.0
max residence set size	67388.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem:
 strict:
  a(a(x1)) -> x1
 weak:
  a(a(x1)) -> b(a(a(a(b(x1)))))

Proof:
 Arctic Interpretation Processor:
  dimension: 2
  interpretation:
             [0  -&]  
   [b](x0) = [-& -&]x0,
   
             [0  0 ]  
   [a](x0) = [4  -&]x0
  orientation:
              [4 0]             
   a(a(x1)) = [4 4]x1 >= x1 = x1
   
              [4 0]      [4  -&]                      
   a(a(x1)) = [4 4]x1 >= [-& -&]x1 = b(a(a(a(b(x1)))))
  problem:
   strict:
    
   weak:
    a(a(x1)) -> b(a(a(a(b(x1)))))
  Qed

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