TRS Standard pair #516962584

details

property	value
status	complete
benchmark	ExIntrod_GM01_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n175.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	4.89360189438 seconds
cpu usage	17.968732251
max memory	5.39312128E8

stage attributes

key	value
output-size	67861
starexec-result	YES

output

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


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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)
 active(incr(X)) -> incr(active(X))
 active(cons(X1,X2)) -> cons(active(X1),X2)
 active(s(X)) -> s(active(X))
 active(adx(X)) -> adx(active(X))
 active(head(X)) -> head(active(X))
 active(tail(X)) -> tail(active(X))
 incr(mark(X)) -> mark(incr(X))
 cons(mark(X1),X2) -> mark(cons(X1,X2))
 s(mark(X)) -> mark(s(X))
 adx(mark(X)) -> mark(adx(X))
 head(mark(X)) -> mark(head(X))
 tail(mark(X)) -> mark(tail(X))
 proper(incr(X)) -> incr(proper(X))
 proper(nil()) -> ok(nil())
 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
 proper(s(X)) -> s(proper(X))
 proper(adx(X)) -> adx(proper(X))
 proper(nats()) -> ok(nats())
 proper(zeros()) -> ok(zeros())
 proper(0()) -> ok(0())
 proper(head(X)) -> head(proper(X))
 proper(tail(X)) -> tail(proper(X))
 incr(ok(X)) -> ok(incr(X))
 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
 s(ok(X)) -> ok(s(X))
 adx(ok(X)) -> ok(adx(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:
   [cons](x0, x1) = x0 + x1,
   
   [zeros] = 0,
   
   [incr](x0) = x0,
   
   [mark](x0) = x0,
   
   [s](x0) = x0,
   
   [head](x0) = x0,
   
   [nil] = 3,
   
   [nats] = 6,
   
   [top](x0) = x0 + 1,
   
   [proper](x0) = x0,
   
   [tail](x0) = 2x0 + 4,
   
   [0] = 0,
   
   [ok](x0) = x0,
   
   [adx](x0) = 2x0,
   
   [active](x0) = x0
  orientation:
   active(incr(nil())) = 3 >= 3 = mark(nil())
   
   active(incr(cons(X,L))) = L + X >= L + X = mark(cons(s(X),incr(L)))
   
   active(adx(nil())) = 6 >= 3 = mark(nil())
   
   active(adx(cons(X,L))) = 2L + 2X >= 2L + X = mark(incr(cons(X,adx(L))))
   
   active(nats()) = 6 >= 0 = mark(adx(zeros()))
   
   active(zeros()) = 0 >= 0 = mark(cons(0(),zeros()))
   
   active(head(cons(X,L))) = L + X >= X = mark(X)
   
   active(tail(cons(X,L))) = 2L + 2X + 4 >= L = mark(L)
   
   active(incr(X)) = X >= X = incr(active(X))

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