TRS Standard pair #615302223

details

property	value
status	complete
benchmark	ExIntrod_GM04_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n146.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	3.62055897713 seconds
cpu usage	12.948893687
max memory	4.78707712E8

stage attributes

key	value
output-size	42757
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:
 active(nats()) -> mark(adx(zeros()))
 active(zeros()) -> mark(cons(0(),zeros()))
 active(incr(cons(X,Y))) -> mark(cons(s(X),incr(Y)))
 active(adx(cons(X,Y))) -> mark(incr(cons(X,adx(Y))))
 active(hd(cons(X,Y))) -> mark(X)
 active(tl(cons(X,Y))) -> mark(Y)
 active(adx(X)) -> adx(active(X))
 active(incr(X)) -> incr(active(X))
 active(hd(X)) -> hd(active(X))
 active(tl(X)) -> tl(active(X))
 adx(mark(X)) -> mark(adx(X))
 incr(mark(X)) -> mark(incr(X))
 hd(mark(X)) -> mark(hd(X))
 tl(mark(X)) -> mark(tl(X))
 proper(nats()) -> ok(nats())
 proper(adx(X)) -> adx(proper(X))
 proper(zeros()) -> ok(zeros())
 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
 proper(0()) -> ok(0())
 proper(incr(X)) -> incr(proper(X))
 proper(s(X)) -> s(proper(X))
 proper(hd(X)) -> hd(proper(X))
 proper(tl(X)) -> tl(proper(X))
 adx(ok(X)) -> ok(adx(X))
 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
 incr(ok(X)) -> ok(incr(X))
 s(ok(X)) -> ok(s(X))
 hd(ok(X)) -> ok(hd(X))
 tl(ok(X)) -> ok(tl(X))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [mark](x0) = 4x0,
   
   [s](x0) = x0,
   
   [active](x0) = 4x0,
   
   [adx](x0) = x0,
   
   [0] = 0,
   
   [tl](x0) = x0,
   
   [nats] = 4,
   
   [incr](x0) = x0,
   
   [ok](x0) = 4x0,
   
   [proper](x0) = 4x0,
   
   [hd](x0) = x0,
   
   [top](x0) = x0 + 1,
   
   [cons](x0, x1) = x0 + 2x1,
   
   [zeros] = 0
  orientation:
   active(nats()) = 16 >= 0 = mark(adx(zeros()))
   
   active(zeros()) = 0 >= 0 = mark(cons(0(),zeros()))
   
   active(incr(cons(X,Y))) = 4X + 8Y >= 4X + 8Y = mark(cons(s(X),incr(Y)))
   
   active(adx(cons(X,Y))) = 4X + 8Y >= 4X + 8Y = mark(incr(cons(X,adx(Y))))
   
   active(hd(cons(X,Y))) = 4X + 8Y >= 4X = mark(X)
   
   active(tl(cons(X,Y))) = 4X + 8Y >= 4Y = mark(Y)
   
   active(adx(X)) = 4X >= 4X = adx(active(X))
   
   active(incr(X)) = 4X >= 4X = incr(active(X))
   
   active(hd(X)) = 4X >= 4X = hd(active(X))
   
   active(tl(X)) = 4X >= 4X = tl(active(X))
   
   adx(mark(X)) = 4X >= 4X = mark(adx(X))
   
   incr(mark(X)) = 4X >= 4X = mark(incr(X))
   
   hd(mark(X)) = 4X >= 4X = mark(hd(X))
   
   tl(mark(X)) = 4X >= 4X = mark(tl(X))

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