TRS Stand 20472 pair #381714972

details

property	value
status	complete
benchmark	Ex1_Luc04b_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n002.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	3.44646692276 seconds
cpu usage	12.052646036
max memory	4.502528E8

stage attributes

key	value
output-size	37482
starexec-result	YES

output

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


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YES

Problem:
 active(nats()) -> mark(cons(0(),incr(nats())))
 active(pairs()) -> mark(cons(0(),incr(odds())))
 active(odds()) -> mark(incr(pairs()))
 active(incr(cons(X,XS))) -> mark(cons(s(X),incr(XS)))
 active(head(cons(X,XS))) -> mark(X)
 active(tail(cons(X,XS))) -> mark(XS)
 active(cons(X1,X2)) -> cons(active(X1),X2)
 active(incr(X)) -> incr(active(X))
 active(s(X)) -> s(active(X))
 active(head(X)) -> head(active(X))
 active(tail(X)) -> tail(active(X))
 cons(mark(X1),X2) -> mark(cons(X1,X2))
 incr(mark(X)) -> mark(incr(X))
 s(mark(X)) -> mark(s(X))
 head(mark(X)) -> mark(head(X))
 tail(mark(X)) -> mark(tail(X))
 proper(nats()) -> ok(nats())
 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
 proper(0()) -> ok(0())
 proper(incr(X)) -> incr(proper(X))
 proper(pairs()) -> ok(pairs())
 proper(odds()) -> ok(odds())
 proper(s(X)) -> s(proper(X))
 proper(head(X)) -> head(proper(X))
 proper(tail(X)) -> tail(proper(X))
 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
 incr(ok(X)) -> ok(incr(X))
 s(ok(X)) -> ok(s(X))
 head(ok(X)) -> ok(head(X))
 tail(ok(X)) -> ok(tail(X))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [top](x0) = x0 + 1,
   
   [ok](x0) = x0,
   
   [proper](x0) = x0,
   
   [tail](x0) = 4x0 + 1,
   
   [head](x0) = x0,
   
   [s](x0) = x0,
   
   [odds] = 0,
   
   [pairs] = 0,
   
   [mark](x0) = x0,
   
   [cons](x0, x1) = x0 + 4x1,
   
   [incr](x0) = x0,
   
   [0] = 0,
   
   [active](x0) = x0,
   
   [nats] = 0
  orientation:
   active(nats()) = 0 >= 0 = mark(cons(0(),incr(nats())))
   
   active(pairs()) = 0 >= 0 = mark(cons(0(),incr(odds())))
   
   active(odds()) = 0 >= 0 = mark(incr(pairs()))
   
   active(incr(cons(X,XS))) = X + 4XS >= X + 4XS = mark(cons(s(X),incr(XS)))
   
   active(head(cons(X,XS))) = X + 4XS >= X = mark(X)
   
   active(tail(cons(X,XS))) = 4X + 16XS + 1 >= XS = mark(XS)
   
   active(cons(X1,X2)) = X1 + 4X2 >= X1 + 4X2 = cons(active(X1),X2)
   
   active(incr(X)) = X >= X = incr(active(X))
   
   active(s(X)) = X >= X = s(active(X))
   
   active(head(X)) = X >= X = head(active(X))
   
   active(tail(X)) = 4X + 1 >= 4X + 1 = tail(active(X))
   
   cons(mark(X1),X2) = X1 + 4X2 >= X1 + 4X2 = mark(cons(X1,X2))
   
   incr(mark(X)) = X >= X = mark(incr(X))

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