TRS Stand 20472 pair #381714831

details

property	value
status	complete
benchmark	2.41.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n099.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	0.623406887054 seconds
cpu usage	1.263680898
max memory	1.52625152E8

stage attributes

key	value
output-size	3160
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


YES

Problem:
 norm(nil()) -> 0()
 norm(g(x,y)) -> s(norm(x))
 f(x,nil()) -> g(nil(),x)
 f(x,g(y,z)) -> g(f(x,y),z)
 rem(nil(),y) -> nil()
 rem(g(x,y),0()) -> g(x,y)
 rem(g(x,y),s(z)) -> rem(x,z)

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [rem](x0, x1) = 4x0 + x1,
   
   [f](x0, x1) = 4x0 + 2x1,
   
   [s](x0) = x0,
   
   [g](x0, x1) = x0 + 4x1,
   
   [0] = 0,
   
   [norm](x0) = 4x0 + 6,
   
   [nil] = 0
  orientation:
   norm(nil()) = 6 >= 0 = 0()
   
   norm(g(x,y)) = 4x + 16y + 6 >= 4x + 6 = s(norm(x))
   
   f(x,nil()) = 4x >= 4x = g(nil(),x)
   
   f(x,g(y,z)) = 4x + 2y + 8z >= 4x + 2y + 4z = g(f(x,y),z)
   
   rem(nil(),y) = y >= 0 = nil()
   
   rem(g(x,y),0()) = 4x + 16y >= x + 4y = g(x,y)
   
   rem(g(x,y),s(z)) = 4x + 16y + z >= 4x + z = rem(x,z)
  problem:
   norm(g(x,y)) -> s(norm(x))
   f(x,nil()) -> g(nil(),x)
   f(x,g(y,z)) -> g(f(x,y),z)
   rem(nil(),y) -> nil()
   rem(g(x,y),0()) -> g(x,y)
   rem(g(x,y),s(z)) -> rem(x,z)
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [rem](x0, x1) = 4x0 + x1 + 1,
    
    [f](x0, x1) = 4x0 + x1 + 1,
    
    [s](x0) = x0,
    
    [g](x0, x1) = x0 + 4x1,
    
    [0] = 7,
    
    [norm](x0) = 4x0 + 2,
    
    [nil] = 0
   orientation:
    norm(g(x,y)) = 4x + 16y + 2 >= 4x + 2 = s(norm(x))
    
    f(x,nil()) = 4x + 1 >= 4x = g(nil(),x)
    
    f(x,g(y,z)) = 4x + y + 4z + 1 >= 4x + y + 4z + 1 = g(f(x,y),z)
    
    rem(nil(),y) = y + 1 >= 0 = nil()
    
    rem(g(x,y),0()) = 4x + 16y + 8 >= x + 4y = g(x,y)
    
    rem(g(x,y),s(z)) = 4x + 16y + z + 1 >= 4x + z + 1 = rem(x,z)
   problem:
    norm(g(x,y)) -> s(norm(x))
    f(x,g(y,z)) -> g(f(x,y),z)
    rem(g(x,y),s(z)) -> rem(x,z)
   Matrix Interpretation Processor: dim=1
    
    interpretation:
     [rem](x0, x1) = x0 + 4x1 + 2,
     
     [f](x0, x1) = 2x0 + x1,
     
     [s](x0) = x0 + 1,
     
     [g](x0, x1) = x0 + 2x1 + 1,
     
     [norm](x0) = x0 + 7
    orientation:

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to TRS Stand 20472