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Runti Compl Full Rewri 10127 pair #381903572
details
property
value
status
complete
benchmark
Ex3_3_25_Bor03_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n036.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
298.51486516 seconds
cpu usage
1182.02791774
max memory
3.946358784E10
stage attributes
key
value
output-size
3040
starexec-result
WORST_CASE(Omega(n^1),?)
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),?) * Step 1: Sum WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: activate(X) -> X activate(n__app(X1,X2)) -> app(X1,X2) activate(n__from(X)) -> from(X) activate(n__nil()) -> nil() activate(n__zWadr(X1,X2)) -> zWadr(X1,X2) app(X1,X2) -> n__app(X1,X2) app(cons(X,XS),YS) -> cons(X,n__app(activate(XS),YS)) app(nil(),YS) -> YS from(X) -> cons(X,n__from(s(X))) from(X) -> n__from(X) nil() -> n__nil() prefix(L) -> cons(nil(),n__zWadr(L,prefix(L))) zWadr(X1,X2) -> n__zWadr(X1,X2) zWadr(XS,nil()) -> nil() zWadr(cons(X,XS),cons(Y,YS)) -> cons(app(Y,cons(X,n__nil())),n__zWadr(activate(XS),activate(YS))) zWadr(nil(),YS) -> nil() - Signature: {activate/1,app/2,from/1,nil/0,prefix/1,zWadr/2} / {cons/2,n__app/2,n__from/1,n__nil/0,n__zWadr/2,s/1} - Obligation: runtime complexity wrt. defined symbols {activate,app,from,nil,prefix,zWadr} and constructors {cons,n__app ,n__from,n__nil,n__zWadr,s} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: activate(X) -> X activate(n__app(X1,X2)) -> app(X1,X2) activate(n__from(X)) -> from(X) activate(n__nil()) -> nil() activate(n__zWadr(X1,X2)) -> zWadr(X1,X2) app(X1,X2) -> n__app(X1,X2) app(cons(X,XS),YS) -> cons(X,n__app(activate(XS),YS)) app(nil(),YS) -> YS from(X) -> cons(X,n__from(s(X))) from(X) -> n__from(X) nil() -> n__nil() prefix(L) -> cons(nil(),n__zWadr(L,prefix(L))) zWadr(X1,X2) -> n__zWadr(X1,X2) zWadr(XS,nil()) -> nil() zWadr(cons(X,XS),cons(Y,YS)) -> cons(app(Y,cons(X,n__nil())),n__zWadr(activate(XS),activate(YS))) zWadr(nil(),YS) -> nil() - Signature: {activate/1,app/2,from/1,nil/0,prefix/1,zWadr/2} / {cons/2,n__app/2,n__from/1,n__nil/0,n__zWadr/2,s/1} - Obligation: runtime complexity wrt. defined symbols {activate,app,from,nil,prefix,zWadr} and constructors {cons,n__app ,n__from,n__nil,n__zWadr,s} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: activate(z){z -> n__app(cons(x,z),v)} = activate(n__app(cons(x,z),v)) ->^+ cons(x,n__app(activate(z),v)) = C[activate(z) = activate(z){}] WORST_CASE(Omega(n^1),?)
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