TRS Stand 20472 pair #381715864

details

property	value
status	complete
benchmark	PEANO_nosorts_noand_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n105.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	2.73182106018 seconds
cpu usage	9.322599001
max memory	4.26360832E8

stage attributes

key	value
output-size	26335
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem:
 active(U11(tt(),M,N)) -> mark(U12(tt(),M,N))
 active(U12(tt(),M,N)) -> mark(s(plus(N,M)))
 active(plus(N,0())) -> mark(N)
 active(plus(N,s(M))) -> mark(U11(tt(),M,N))
 active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3)
 active(U12(X1,X2,X3)) -> U12(active(X1),X2,X3)
 active(s(X)) -> s(active(X))
 active(plus(X1,X2)) -> plus(active(X1),X2)
 active(plus(X1,X2)) -> plus(X1,active(X2))
 U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3))
 U12(mark(X1),X2,X3) -> mark(U12(X1,X2,X3))
 s(mark(X)) -> mark(s(X))
 plus(mark(X1),X2) -> mark(plus(X1,X2))
 plus(X1,mark(X2)) -> mark(plus(X1,X2))
 proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3))
 proper(tt()) -> ok(tt())
 proper(U12(X1,X2,X3)) -> U12(proper(X1),proper(X2),proper(X3))
 proper(s(X)) -> s(proper(X))
 proper(plus(X1,X2)) -> plus(proper(X1),proper(X2))
 proper(0()) -> ok(0())
 U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3))
 U12(ok(X1),ok(X2),ok(X3)) -> ok(U12(X1,X2,X3))
 s(ok(X)) -> ok(s(X))
 plus(ok(X1),ok(X2)) -> ok(plus(X1,X2))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [top](x0) = 2x0,
   
   [ok](x0) = x0,
   
   [proper](x0) = x0,
   
   [0] = 0,
   
   [s](x0) = x0 + 3,
   
   [plus](x0, x1) = 4x0 + 5x1,
   
   [mark](x0) = x0,
   
   [U12](x0, x1, x2) = 4x0 + 5x1 + 4x2,
   
   [active](x0) = x0,
   
   [U11](x0, x1, x2) = 7x0 + 5x1 + 4x2 + 5,
   
   [tt] = 1
  orientation:
   active(U11(tt(),M,N)) = 5M + 4N + 12 >= 5M + 4N + 4 = mark(U12(tt(),M,N))
   
   active(U12(tt(),M,N)) = 5M + 4N + 4 >= 5M + 4N + 3 = mark(s(plus(N,M)))
   
   active(plus(N,0())) = 4N >= N = mark(N)
   
   active(plus(N,s(M))) = 5M + 4N + 15 >= 5M + 4N + 12 = mark(U11(tt(),M,N))
   
   active(U11(X1,X2,X3)) = 7X1 + 5X2 + 4X3 + 5 >= 7X1 + 5X2 + 4X3 + 5 = U11(active(X1),X2,X3)
   
   active(U12(X1,X2,X3)) = 4X1 + 5X2 + 4X3 >= 4X1 + 5X2 + 4X3 = U12(active(X1),X2,X3)
   
   active(s(X)) = X + 3 >= X + 3 = s(active(X))
   
   active(plus(X1,X2)) = 4X1 + 5X2 >= 4X1 + 5X2 = plus(active(X1),X2)
   
   active(plus(X1,X2)) = 4X1 + 5X2 >= 4X1 + 5X2 = plus(X1,active(X2))
   
   U11(mark(X1),X2,X3) = 7X1 + 5X2 + 4X3 + 5 >= 7X1 + 5X2 + 4X3 + 5 = mark(U11(X1,X2,X3))
   
   U12(mark(X1),X2,X3) = 4X1 + 5X2 + 4X3 >= 4X1 + 5X2 + 4X3 = mark(U12(X1,X2,X3))
   
   s(mark(X)) = X + 3 >= X + 3 = mark(s(X))
   
   plus(mark(X1),X2) = 4X1 + 5X2 >= 4X1 + 5X2 = mark(plus(X1,X2))
   
   plus(X1,mark(X2)) = 4X1 + 5X2 >= 4X1 + 5X2 = mark(plus(X1,X2))
   
   proper(U11(X1,X2,X3)) = 7X1 + 5X2 + 4X3 + 5 >= 7X1 + 5X2 + 4X3 + 5 = U11(proper(X1),proper(X2),proper(X3))
   
   proper(tt()) = 1 >= 1 = ok(tt())
   
   proper(U12(X1,X2,X3)) = 4X1 + 5X2 + 4X3 >= 4X1 + 5X2 + 4X3 = U12(proper(X1),proper(X2),proper(X3))
   
   proper(s(X)) = X + 3 >= X + 3 = s(proper(X))
   
   proper(plus(X1,X2)) = 4X1 + 5X2 >= 4X1 + 5X2 = plus(proper(X1),proper(X2))

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