SRS_Standard 2019-03-29 03.29 pair #432292152

details

property	value
status	complete
benchmark	z119.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n039.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	ttt2-1.19
configuration	ttt2
runtime (wallclock)	2.83254 seconds
cpu usage	9.93932
user time	7.57879
system time	2.36052
max virtual memory	3524184.0
max residence set size	68828.0

stage attributes

key	value
starexec-result	YES

output

9.90/2.82	YES
9.90/2.82	
9.90/2.82	Problem:
9.90/2.82	 a(b(x1)) -> b(d(x1))
9.90/2.82	 a(c(x1)) -> d(d(d(x1)))
9.90/2.82	 b(d(x1)) -> a(c(b(x1)))
9.90/2.82	 c(f(x1)) -> d(d(c(x1)))
9.90/2.82	 d(d(x1)) -> f(x1)
9.90/2.82	 f(f(x1)) -> a(x1)
9.90/2.82	
9.90/2.82	Proof:
9.90/2.82	 Matrix Interpretation Processor: dim=1
9.90/2.82	  
9.90/2.82	  interpretation:
9.90/2.82	   [f](x0) = x0 + 2,
9.90/2.82	   
9.90/2.82	   [c](x0) = x0,
9.90/2.82	   
9.90/2.82	   [d](x0) = x0 + 1,
9.90/2.82	   
9.90/2.82	   [a](x0) = x0 + 3,
9.90/2.82	   
9.90/2.82	   [b](x0) = 3x0
9.90/2.82	  orientation:
9.90/2.82	   a(b(x1)) = 3x1 + 3 >= 3x1 + 3 = b(d(x1))
9.90/2.82	   
9.90/2.82	   a(c(x1)) = x1 + 3 >= x1 + 3 = d(d(d(x1)))
9.90/2.82	   
9.90/2.82	   b(d(x1)) = 3x1 + 3 >= 3x1 + 3 = a(c(b(x1)))
9.90/2.82	   
9.90/2.82	   c(f(x1)) = x1 + 2 >= x1 + 2 = d(d(c(x1)))
9.90/2.82	   
9.90/2.82	   d(d(x1)) = x1 + 2 >= x1 + 2 = f(x1)
9.90/2.82	   
9.90/2.82	   f(f(x1)) = x1 + 4 >= x1 + 3 = a(x1)
9.90/2.82	  problem:
9.90/2.82	   a(b(x1)) -> b(d(x1))
9.90/2.82	   a(c(x1)) -> d(d(d(x1)))
9.90/2.82	   b(d(x1)) -> a(c(b(x1)))
9.90/2.82	   c(f(x1)) -> d(d(c(x1)))
9.90/2.82	   d(d(x1)) -> f(x1)
9.90/2.82	  String Reversal Processor:
9.90/2.82	   b(a(x1)) -> d(b(x1))
9.90/2.82	   c(a(x1)) -> d(d(d(x1)))
9.90/2.82	   d(b(x1)) -> b(c(a(x1)))
9.90/2.82	   f(c(x1)) -> c(d(d(x1)))
9.90/2.82	   d(d(x1)) -> f(x1)
9.90/2.82	   Matrix Interpretation Processor: dim=2
9.90/2.82	    
9.90/2.82	    interpretation:
9.90/2.82	               [1 0]  
9.90/2.82	     [f](x0) = [0 0]x0,
9.90/2.82	     
9.90/2.82	               [1 0]  
9.90/2.82	     [c](x0) = [0 0]x0,
9.90/2.82	     
9.90/2.82	               [1 0]  
9.90/2.82	     [d](x0) = [0 0]x0,
9.90/2.82	     
9.90/2.82	               [1 0]     [0]
9.90/2.82	     [a](x0) = [2 2]x0 + [2],
9.90/2.82	     
9.90/2.82	               [1 2]  
9.90/2.82	     [b](x0) = [0 1]x0
9.90/2.82	    orientation:
9.90/2.82	                [5 4]     [4]    [1 2]             
9.90/2.82	     b(a(x1)) = [2 2]x1 + [2] >= [0 0]x1 = d(b(x1))
9.90/2.82	     
9.90/2.82	                [1 0]      [1 0]                
9.90/2.82	     c(a(x1)) = [0 0]x1 >= [0 0]x1 = d(d(d(x1)))
9.90/2.82	     
9.90/2.82	                [1 2]      [1 0]                
9.90/2.82	     d(b(x1)) = [0 0]x1 >= [0 0]x1 = b(c(a(x1)))
9.90/2.82	     
9.90/2.82	                [1 0]      [1 0]                
9.90/2.82	     f(c(x1)) = [0 0]x1 >= [0 0]x1 = c(d(d(x1)))
9.90/2.82	     
9.90/2.82	                [1 0]      [1 0]          
9.90/2.82	     d(d(x1)) = [0 0]x1 >= [0 0]x1 = f(x1)
9.90/2.82	    problem:
9.90/2.82	     c(a(x1)) -> d(d(d(x1)))
9.90/2.82	     d(b(x1)) -> b(c(a(x1)))
9.90/2.82	     f(c(x1)) -> c(d(d(x1)))
9.90/2.82	     d(d(x1)) -> f(x1)
9.90/2.82	    Matrix Interpretation Processor: dim=2
9.90/2.82	     
9.90/2.82	     interpretation:
9.90/2.82	                [1 2]  
9.90/2.82	      [f](x0) = [0 1]x0,
9.90/2.82	      
9.90/2.82	                  
9.90/2.82	      [c](x0) = x0,
9.90/2.82	      
9.90/2.82	                [1 1]  
9.90/2.82	      [d](x0) = [0 1]x0,
9.90/2.82	      
9.90/2.82	                [1 3]  
9.90/2.82	      [a](x0) = [0 1]x0,
9.90/2.82	      
9.90/2.82	                [1 2]     [0]

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