TRS Standard pair #615301537

details

property	value
status	complete
benchmark	ExIntrod_GM01_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n157.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	10.6716718674 seconds
cpu usage	36.135276296
max memory	1.622257664E9

stage attributes

key	value
output-size	133230
starexec-result	"YES"

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


YES

Problem:
 active(incr(nil())) -> mark(nil())
 active(incr(cons(X,L))) -> mark(cons(s(X),incr(L)))
 active(adx(nil())) -> mark(nil())
 active(adx(cons(X,L))) -> mark(incr(cons(X,adx(L))))
 active(nats()) -> mark(adx(zeros()))
 active(zeros()) -> mark(cons(0(),zeros()))
 active(head(cons(X,L))) -> mark(X)
 active(tail(cons(X,L))) -> mark(L)
 mark(incr(X)) -> active(incr(mark(X)))
 mark(nil()) -> active(nil())
 mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
 mark(s(X)) -> active(s(mark(X)))
 mark(adx(X)) -> active(adx(mark(X)))
 mark(nats()) -> active(nats())
 mark(zeros()) -> active(zeros())
 mark(0()) -> active(0())
 mark(head(X)) -> active(head(mark(X)))
 mark(tail(X)) -> active(tail(mark(X)))
 incr(mark(X)) -> incr(X)
 incr(active(X)) -> incr(X)
 cons(mark(X1),X2) -> cons(X1,X2)
 cons(X1,mark(X2)) -> cons(X1,X2)
 cons(active(X1),X2) -> cons(X1,X2)
 cons(X1,active(X2)) -> cons(X1,X2)
 s(mark(X)) -> s(X)
 s(active(X)) -> s(X)
 adx(mark(X)) -> adx(X)
 adx(active(X)) -> adx(X)
 head(mark(X)) -> head(X)
 head(active(X)) -> head(X)
 tail(mark(X)) -> tail(X)
 tail(active(X)) -> tail(X)

Proof:
 Matrix Interpretation Processor: dim=3
  
  interpretation:
                    [1 0 0]     [1 0 1]  
   [cons](x0, x1) = [0 1 1]x0 + [0 0 0]x1
                    [0 0 0]     [0 1 1]  ,
   
             [0]
   [zeros] = [1]
             [0],
   
                [1 0 0]  
   [incr](x0) = [0 0 0]x0
                [0 0 0]  ,
   
                [1 0 0]  
   [mark](x0) = [0 0 0]x0
                [0 1 1]  ,
   
             [1 0 0]  
   [s](x0) = [0 0 0]x0
             [0 0 0]  ,
   
                [1 0 0]  
   [head](x0) = [0 1 1]x0
                [0 0 0]  ,
   
           [0]
   [nil] = [0]
           [0],
   
            [1]
   [nats] = [0]
            [0],
   
                [1 0 0]  
   [tail](x0) = [0 1 1]x0
                [0 0 0]  ,
   
         [0]
   [0] = [0]
         [0],
   
               [1 0 0]     [1]
   [adx](x0) = [0 0 0]x0 + [0]
               [0 0 0]     [0],
   
                  [1 0 0]  
   [active](x0) = [0 0 0]x0
                  [0 1 1]  
  orientation:
                         [0]    [0]              
   active(incr(nil())) = [0] >= [0] = mark(nil())
                         [0]    [0]              
   
                             [1 0 1]    [1 0 0]     [1 0 0]    [1 0 0]                            
   active(incr(cons(X,L))) = [0 0 0]L + [0 0 0]X >= [0 0 0]L + [0 0 0]X = mark(cons(s(X),incr(L)))

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