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TRS Standard pair #516963244
details
property
value
status
complete
benchmark
Ex1_Luc04b_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.00966119766 seconds
cpu usage
2.652364776
max memory
2.85220864E8
stage attributes
key
value
output-size
15952
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a__nats() -> cons(0(),incr(nats())) a__pairs() -> cons(0(),incr(odds())) a__odds() -> a__incr(a__pairs()) a__incr(cons(X,XS)) -> cons(s(mark(X)),incr(XS)) a__head(cons(X,XS)) -> mark(X) a__tail(cons(X,XS)) -> mark(XS) mark(nats()) -> a__nats() mark(incr(X)) -> a__incr(mark(X)) mark(pairs()) -> a__pairs() mark(odds()) -> a__odds() mark(head(X)) -> a__head(mark(X)) mark(tail(X)) -> a__tail(mark(X)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(0()) -> 0() mark(s(X)) -> s(mark(X)) a__nats() -> nats() a__incr(X) -> incr(X) a__pairs() -> pairs() a__odds() -> odds() a__head(X) -> head(X) a__tail(X) -> tail(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [cons](x0, x1) = 4x0 + x1, [tail](x0) = x0 + 1, [a__incr](x0) = 2x0, [0] = 0, [incr](x0) = 2x0, [a__pairs] = 0, [s](x0) = 2x0, [a__nats] = 0, [a__odds] = 0, [head](x0) = 2x0, [a__tail](x0) = x0 + 1, [a__head](x0) = 2x0, [mark](x0) = x0, [pairs] = 0, [odds] = 0, [nats] = 0 orientation: a__nats() = 0 >= 0 = cons(0(),incr(nats())) a__pairs() = 0 >= 0 = cons(0(),incr(odds())) a__odds() = 0 >= 0 = a__incr(a__pairs()) a__incr(cons(X,XS)) = 8X + 2XS >= 8X + 2XS = cons(s(mark(X)),incr(XS)) a__head(cons(X,XS)) = 8X + 2XS >= X = mark(X) a__tail(cons(X,XS)) = 4X + XS + 1 >= XS = mark(XS) mark(nats()) = 0 >= 0 = a__nats() mark(incr(X)) = 2X >= 2X = a__incr(mark(X)) mark(pairs()) = 0 >= 0 = a__pairs() mark(odds()) = 0 >= 0 = a__odds() mark(head(X)) = 2X >= 2X = a__head(mark(X)) mark(tail(X)) = X + 1 >= X + 1 = a__tail(mark(X)) mark(cons(X1,X2)) = 4X1 + X2 >= 4X1 + X2 = cons(mark(X1),X2) mark(0()) = 0 >= 0 = 0() mark(s(X)) = 2X >= 2X = s(mark(X)) a__nats() = 0 >= 0 = nats() a__incr(X) = 2X >= 2X = incr(X)
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