TRS Standard pair #516961409

details

property	value
status	complete
benchmark	Ex6_9_Luc02c_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n080.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.4438328743 seconds
cpu usage	4.36337113
max memory	3.45575424E8

stage attributes

key	value
output-size	12365
starexec-result	YES

output

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


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YES

Problem:
 active(2nd(cons1(X,cons(Y,Z)))) -> mark(Y)
 active(2nd(cons(X,X1))) -> mark(2nd(cons1(X,X1)))
 active(from(X)) -> mark(cons(X,from(s(X))))
 active(2nd(X)) -> 2nd(active(X))
 active(cons(X1,X2)) -> cons(active(X1),X2)
 active(from(X)) -> from(active(X))
 active(s(X)) -> s(active(X))
 active(cons1(X1,X2)) -> cons1(active(X1),X2)
 active(cons1(X1,X2)) -> cons1(X1,active(X2))
 2nd(mark(X)) -> mark(2nd(X))
 cons(mark(X1),X2) -> mark(cons(X1,X2))
 from(mark(X)) -> mark(from(X))
 s(mark(X)) -> mark(s(X))
 cons1(mark(X1),X2) -> mark(cons1(X1,X2))
 cons1(X1,mark(X2)) -> mark(cons1(X1,X2))
 proper(2nd(X)) -> 2nd(proper(X))
 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
 proper(from(X)) -> from(proper(X))
 proper(s(X)) -> s(proper(X))
 proper(cons1(X1,X2)) -> cons1(proper(X1),proper(X2))
 2nd(ok(X)) -> ok(2nd(X))
 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
 from(ok(X)) -> ok(from(X))
 s(ok(X)) -> ok(s(X))
 cons1(ok(X1),ok(X2)) -> ok(cons1(X1,X2))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [mark](x0) = x0,
   
   [ok](x0) = 6x0 + 7,
   
   [cons1](x0, x1) = x0 + x1,
   
   [active](x0) = 5x0 + 4,
   
   [from](x0) = x0,
   
   [cons](x0, x1) = x0 + x1 + 1,
   
   [proper](x0) = x0,
   
   [top](x0) = x0 + 4,
   
   [s](x0) = 4x0 + 3,
   
   [2nd](x0) = 2x0 + 1
  orientation:
   active(2nd(cons1(X,cons(Y,Z)))) = 10X + 10Y + 10Z + 19 >= Y = mark(Y)
   
   active(2nd(cons(X,X1))) = 10X + 10X1 + 19 >= 2X + 2X1 + 1 = mark(2nd(cons1(X,X1)))
   
   active(from(X)) = 5X + 4 >= 5X + 4 = mark(cons(X,from(s(X))))
   
   active(2nd(X)) = 10X + 9 >= 10X + 9 = 2nd(active(X))
   
   active(cons(X1,X2)) = 5X1 + 5X2 + 9 >= 5X1 + X2 + 5 = cons(active(X1),X2)
   
   active(from(X)) = 5X + 4 >= 5X + 4 = from(active(X))
   
   active(s(X)) = 20X + 19 >= 20X + 19 = s(active(X))
   
   active(cons1(X1,X2)) = 5X1 + 5X2 + 4 >= 5X1 + X2 + 4 = cons1(active(X1),X2)
   
   active(cons1(X1,X2)) = 5X1 + 5X2 + 4 >= X1 + 5X2 + 4 = cons1(X1,active(X2))
   
   2nd(mark(X)) = 2X + 1 >= 2X + 1 = mark(2nd(X))
   
   cons(mark(X1),X2) = X1 + X2 + 1 >= X1 + X2 + 1 = mark(cons(X1,X2))
   
   from(mark(X)) = X >= X = mark(from(X))
   
   s(mark(X)) = 4X + 3 >= 4X + 3 = mark(s(X))
   
   cons1(mark(X1),X2) = X1 + X2 >= X1 + X2 = mark(cons1(X1,X2))
   
   cons1(X1,mark(X2)) = X1 + X2 >= X1 + X2 = mark(cons1(X1,X2))
   
   proper(2nd(X)) = 2X + 1 >= 2X + 1 = 2nd(proper(X))
   
   proper(cons(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = cons(proper(X1),proper(X2))
   
   proper(from(X)) = X >= X = from(proper(X))
   
   proper(s(X)) = 4X + 3 >= 4X + 3 = s(proper(X))
   
   proper(cons1(X1,X2)) = X1 + X2 >= X1 + X2 = cons1(proper(X1),proper(X2))

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