details

property	value
status	complete
benchmark	PEANO_nosorts_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.781934022903 seconds
cpu usage	1.915017036
max memory	2.36150784E8

stage attributes

key	value
output-size	14314
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: a__U11(tt(),M,N) -> a__U12(tt(),M,N) a__U12(tt(),M,N) -> s(a__plus(mark(N),mark(M))) a__plus(N,0()) -> mark(N) a__plus(N,s(M)) -> a__U11(tt(),M,N) mark(U11(X1,X2,X3)) -> a__U11(mark(X1),X2,X3) mark(U12(X1,X2,X3)) -> a__U12(mark(X1),X2,X3) mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2)) mark(tt()) -> tt() mark(s(X)) -> s(mark(X)) mark(0()) -> 0() a__U11(X1,X2,X3) -> U11(X1,X2,X3) a__U12(X1,X2,X3) -> U12(X1,X2,X3) a__plus(X1,X2) -> plus(X1,X2) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [1 0 0] [1] [a__plus](x0, x1) = [0 1 0]x0 + [0 0 0]x1 + [1] [0 0 0] [0 0 0] [1], [1 1 0] [1 0 0] [1 1 0] [0] [U12](x0, x1, x2) = [1 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [1] [0 0 0] [0 0 0] [0 0 0] [1], [1 0 0] [1 0 0] [1 1 0] [1] [a__U11](x0, x1, x2) = [0 1 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [0] [0 0 0] [0 0 0] [0 0 0] [1], [1 0 0] [0] [mark](x0) = [0 1 0]x0 + [0] [0 0 0] [1], [1 0 0] [s](x0) = [0 0 0]x0 [0 0 1] , [0] [tt] = [1] [1], [1 0 0] [1 0 0] [1 1 0] [1] [U11](x0, x1, x2) = [0 1 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [0] [0 0 0] [0 0 0] [0 0 0] [0], [1 1 0] [1 0 0] [1] [plus](x0, x1) = [0 1 0]x0 + [0 0 0]x1 + [1] [0 0 0] [0 0 0] [1], [0] [0] = [0] [0], [1 1 0] [1 0 0] [1 1 0] [0] [a__U12](x0, x1, x2) = [1 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [1] [0 0 0] [0 0 0] [0 0 0] [1] orientation: [1 0 0] [1 1 0] [1] [1 0 0] [1 1 0] [1] a__U11(tt(),M,N) = [0 0 0]M + [0 0 0]N + [1] >= [0 0 0]M + [0 0 0]N + [1] = a__U12(tt(),M,N) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] [1 0 0] [1 1 0] [1] [1 0 0] [1 1 0] [1] a__U12(tt(),M,N) = [0 0 0]M + [0 0 0]N + [1] >= [0 0 0]M + [0 0 0]N + [0] = s(a__plus(mark(N),mark(M))) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] [1 1 0] [1] [1 0 0] [0] a__plus(N,0()) = [0 1 0]N + [1] >= [0 1 0]N + [0] = mark(N) [0 0 0] [1] [0 0 0] [1] [1 0 0] [1 1 0] [1] [1 0 0] [1 1 0] [1] a__plus(N,s(M)) = [0 0 0]M + [0 1 0]N + [1] >= [0 0 0]M + [0 0 0]N + [1] = a__U11(tt(),M,N) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] [1 0 0] [1 0 0] [1 1 0] [1] [1 0 0] [1 0 0] [1 1 0] [1] mark(U11(X1,X2,X3)) = [0 1 0]X1 + [0 0 0]X2 + [0 0 0]X3 + [0] >= [0 1 0]X1 + [0 0 0]X2 + [0 0 0]X3 + [0] = a__U11(mark(X1),X2,X3) [0 0 0] [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [0 0 0] [1] [1 1 0] [1 0 0] [1 1 0] [0] [1 1 0] [1 0 0] [1 1 0] [0] mark(U12(X1,X2,X3)) = [1 0 0]X1 + [0 0 0]X2 + [0 0 0]X3 + [1] >= [1 0 0]X1 + [0 0 0]X2 + [0 0 0]X3 + [1] = a__U12(mark(X1),X2,X3) [0 0 0] [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [0 0 0] [1] [1 1 0] [1 0 0] [1] [1 1 0] [1 0 0] [1] mark(plus(X1,X2)) = [0 1 0]X1 + [0 0 0]X2 + [1] >= [0 1 0]X1 + [0 0 0]X2 + [1] = a__plus(mark(X1),mark(X2)) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] [0] [0] mark(tt()) = [1] >= [1] = tt() [1] [1] [1 0 0] [0] [1 0 0] [0] popout

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