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Runti Compl Inner Rewri 22807 pair #381905200
details
property
value
status
complete
benchmark
Ex3_3_25_Bor03_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n050.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
294.202412844 seconds
cpu usage
1001.79681863
max memory
3.328008192E9
stage attributes
key
value
output-size
3288
starexec-result
WORST_CASE(Omega(n^1),?)
output
/export/starexec/sandbox2/solver/bin/starexec_run_tct_rci /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),?) * Step 1: Sum WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: a__app(X1,X2) -> app(X1,X2) a__app(cons(X,XS),YS) -> cons(mark(X),app(XS,YS)) a__app(nil(),YS) -> mark(YS) a__from(X) -> cons(mark(X),from(s(X))) a__from(X) -> from(X) a__prefix(L) -> cons(nil(),zWadr(L,prefix(L))) a__prefix(X) -> prefix(X) a__zWadr(X1,X2) -> zWadr(X1,X2) a__zWadr(XS,nil()) -> nil() a__zWadr(cons(X,XS),cons(Y,YS)) -> cons(a__app(mark(Y),cons(mark(X),nil())),zWadr(XS,YS)) a__zWadr(nil(),YS) -> nil() mark(app(X1,X2)) -> a__app(mark(X1),mark(X2)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(from(X)) -> a__from(mark(X)) mark(nil()) -> nil() mark(prefix(X)) -> a__prefix(mark(X)) mark(s(X)) -> s(mark(X)) mark(zWadr(X1,X2)) -> a__zWadr(mark(X1),mark(X2)) - Signature: {a__app/2,a__from/1,a__prefix/1,a__zWadr/2,mark/1} / {app/2,cons/2,from/1,nil/0,prefix/1,s/1,zWadr/2} - Obligation: innermost runtime complexity wrt. defined symbols {a__app,a__from,a__prefix,a__zWadr ,mark} and constructors {app,cons,from,nil,prefix,s,zWadr} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: a__app(X1,X2) -> app(X1,X2) a__app(cons(X,XS),YS) -> cons(mark(X),app(XS,YS)) a__app(nil(),YS) -> mark(YS) a__from(X) -> cons(mark(X),from(s(X))) a__from(X) -> from(X) a__prefix(L) -> cons(nil(),zWadr(L,prefix(L))) a__prefix(X) -> prefix(X) a__zWadr(X1,X2) -> zWadr(X1,X2) a__zWadr(XS,nil()) -> nil() a__zWadr(cons(X,XS),cons(Y,YS)) -> cons(a__app(mark(Y),cons(mark(X),nil())),zWadr(XS,YS)) a__zWadr(nil(),YS) -> nil() mark(app(X1,X2)) -> a__app(mark(X1),mark(X2)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(from(X)) -> a__from(mark(X)) mark(nil()) -> nil() mark(prefix(X)) -> a__prefix(mark(X)) mark(s(X)) -> s(mark(X)) mark(zWadr(X1,X2)) -> a__zWadr(mark(X1),mark(X2)) - Signature: {a__app/2,a__from/1,a__prefix/1,a__zWadr/2,mark/1} / {app/2,cons/2,from/1,nil/0,prefix/1,s/1,zWadr/2} - Obligation: innermost runtime complexity wrt. defined symbols {a__app,a__from,a__prefix,a__zWadr ,mark} and constructors {app,cons,from,nil,prefix,s,zWadr} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: mark(x){x -> app(x,y)} = mark(app(x,y)) ->^+ a__app(mark(x),mark(y)) = C[mark(x) = mark(x){}] WORST_CASE(Omega(n^1),?)
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