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TRS Standard pair #487070402
details
property
value
status
complete
benchmark
Ex5_DLMMU04_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)
2.133 seconds
cpu usage
7.19596
user time
5.96096
system time
1.23499
max virtual memory
1989296.0
max residence set size
106020.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__pairNs() -> cons(0(),incr(oddNs())) a__oddNs() -> a__incr(a__pairNs()) a__incr(cons(X,XS)) -> cons(s(mark(X)),incr(XS)) a__take(0(),XS) -> nil() a__take(s(N),cons(X,XS)) -> cons(mark(X),take(N,XS)) a__zip(nil(),XS) -> nil() a__zip(X,nil()) -> nil() a__zip(cons(X,XS),cons(Y,YS)) -> cons(pair(mark(X),mark(Y)),zip(XS,YS)) a__tail(cons(X,XS)) -> mark(XS) a__repItems(nil()) -> nil() a__repItems(cons(X,XS)) -> cons(mark(X),cons(X,repItems(XS))) mark(pairNs()) -> a__pairNs() mark(incr(X)) -> a__incr(mark(X)) mark(oddNs()) -> a__oddNs() mark(take(X1,X2)) -> a__take(mark(X1),mark(X2)) mark(zip(X1,X2)) -> a__zip(mark(X1),mark(X2)) mark(tail(X)) -> a__tail(mark(X)) mark(repItems(X)) -> a__repItems(mark(X)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(0()) -> 0() mark(s(X)) -> s(mark(X)) mark(nil()) -> nil() mark(pair(X1,X2)) -> pair(mark(X1),mark(X2)) a__pairNs() -> pairNs() a__incr(X) -> incr(X) a__oddNs() -> oddNs() a__take(X1,X2) -> take(X1,X2) a__zip(X1,X2) -> zip(X1,X2) a__tail(X) -> tail(X) a__repItems(X) -> repItems(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [pairNs] = 0, [cons](x0, x1) = 2x0 + x1, [a__tail](x0) = 2x0 + 2, [s](x0) = 2x0, [0] = 0, [incr](x0) = 2x0, [a__repItems](x0) = 3x0, [tail](x0) = 2x0 + 2, [repItems](x0) = 3x0, [a__oddNs] = 0, [nil] = 0, [a__pairNs] = 0, [mark](x0) = x0, [zip](x0, x1) = x0 + x1, [a__zip](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [a__take](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [a__incr](x0) = 2x0, [oddNs] = 0 orientation: a__pairNs() = 0 >= 0 = cons(0(),incr(oddNs())) a__oddNs() = 0 >= 0 = a__incr(a__pairNs()) a__incr(cons(X,XS)) = 4X + 2XS >= 4X + 2XS = cons(s(mark(X)),incr(XS)) a__take(0(),XS) = XS >= 0 = nil() a__take(s(N),cons(X,XS)) = 2N + 2X + XS >= N + 2X + XS = cons(mark(X),take(N,XS)) a__zip(nil(),XS) = XS >= 0 = nil() a__zip(X,nil()) = X >= 0 = nil() a__zip(cons(X,XS),cons(Y,YS)) = 2X + XS + 2Y + YS >= 2X + XS + 2Y + YS = cons(pair(mark(X),mark(Y)),zip(XS,YS)) a__tail(cons(X,XS)) = 4X + 2XS + 2 >= XS = mark(XS) a__repItems(nil()) = 0 >= 0 = nil() a__repItems(cons(X,XS)) = 6X + 3XS >= 4X + 3XS = cons(mark(X),cons(X,repItems(XS)))
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