TRS Standard pair #516961589

details

property	value
status	complete
benchmark	Ex6_GM04_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.470843076706 seconds
cpu usage	0.687099493
max memory	1.71425792E8

stage attributes

key	value
output-size	3095
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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


YES

Problem:
 a__c() -> a__f(g(c()))
 a__f(g(X)) -> g(X)
 mark(c()) -> a__c()
 mark(f(X)) -> a__f(X)
 mark(g(X)) -> g(X)
 a__c() -> c()
 a__f(X) -> f(X)

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [mark](x0) = x0 + 6,
   
   [c] = 0,
   
   [a__f](x0) = x0,
   
   [f](x0) = x0,
   
   [a__c] = 6,
   
   [g](x0) = 4x0 + 6
  orientation:
   a__c() = 6 >= 6 = a__f(g(c()))
   
   a__f(g(X)) = 4X + 6 >= 4X + 6 = g(X)
   
   mark(c()) = 6 >= 6 = a__c()
   
   mark(f(X)) = X + 6 >= X = a__f(X)
   
   mark(g(X)) = 4X + 12 >= 4X + 6 = g(X)
   
   a__c() = 6 >= 0 = c()
   
   a__f(X) = X >= X = f(X)
  problem:
   a__c() -> a__f(g(c()))
   a__f(g(X)) -> g(X)
   mark(c()) -> a__c()
   a__f(X) -> f(X)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                 [1 0 0]     [1]
    [mark](x0) = [0 0 0]x0 + [0]
                 [0 0 0]     [0],
    
          [0]
    [c] = [0]
          [0],
    
                 [1 1 0]  
    [a__f](x0) = [0 0 1]x0
                 [0 0 1]  ,
    
              [1 0 0]  
    [f](x0) = [0 0 1]x0
              [0 0 1]  ,
    
             [1]
    [a__c] = [0]
             [0],
    
              [1 0 0]  
    [g](x0) = [0 0 1]x0
              [0 0 1]  
   orientation:
             [1]    [0]               
    a__c() = [0] >= [0] = a__f(g(c()))
             [0]    [0]               
    
                 [1 0 1]     [1 0 0]        
    a__f(g(X)) = [0 0 1]X >= [0 0 1]X = g(X)
                 [0 0 1]     [0 0 1]        
    
                [1]    [1]         
    mark(c()) = [0] >= [0] = a__c()
                [0]    [0]         
    
              [1 1 0]     [1 0 0]        
    a__f(X) = [0 0 1]X >= [0 0 1]X = f(X)
              [0 0 1]     [0 0 1]        
   problem:
    a__f(g(X)) -> g(X)
    mark(c()) -> a__c()
    a__f(X) -> f(X)
   Matrix Interpretation Processor: dim=3
    
    interpretation:

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