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Runti Compl Inner Rewri 22807 pair #381905132
details
property
value
status
complete
benchmark
Ex3_2_Luc97_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n052.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
294.203778982 seconds
cpu usage
885.680411412
max memory
2.169634816E9
stage attributes
key
value
output-size
3515
starexec-result
WORST_CASE(Omega(n^1),?)
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rci /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: a__dbl(X) -> dbl(X) a__dbl(0()) -> 0() a__dbl(s(X)) -> s(s(dbl(X))) a__dbls(X) -> dbls(X) a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y)) a__dbls(nil()) -> nil() a__from(X) -> cons(X,from(s(X))) a__from(X) -> from(X) a__indx(X1,X2) -> indx(X1,X2) a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z)) a__indx(nil(),X) -> nil() a__sel(X1,X2) -> sel(X1,X2) a__sel(0(),cons(X,Y)) -> mark(X) a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z)) mark(0()) -> 0() mark(cons(X1,X2)) -> cons(X1,X2) mark(dbl(X)) -> a__dbl(mark(X)) mark(dbls(X)) -> a__dbls(mark(X)) mark(from(X)) -> a__from(X) mark(indx(X1,X2)) -> a__indx(mark(X1),X2) mark(nil()) -> nil() mark(s(X)) -> s(X) mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2)) - Signature: {a__dbl/1,a__dbls/1,a__from/1,a__indx/2,a__sel/2,mark/1} / {0/0,cons/2,dbl/1,dbls/1,from/1,indx/2,nil/0,s/1 ,sel/2} - Obligation: innermost runtime complexity wrt. defined symbols {a__dbl,a__dbls,a__from,a__indx,a__sel ,mark} and constructors {0,cons,dbl,dbls,from,indx,nil,s,sel} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: a__dbl(X) -> dbl(X) a__dbl(0()) -> 0() a__dbl(s(X)) -> s(s(dbl(X))) a__dbls(X) -> dbls(X) a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y)) a__dbls(nil()) -> nil() a__from(X) -> cons(X,from(s(X))) a__from(X) -> from(X) a__indx(X1,X2) -> indx(X1,X2) a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z)) a__indx(nil(),X) -> nil() a__sel(X1,X2) -> sel(X1,X2) a__sel(0(),cons(X,Y)) -> mark(X) a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z)) mark(0()) -> 0() mark(cons(X1,X2)) -> cons(X1,X2) mark(dbl(X)) -> a__dbl(mark(X)) mark(dbls(X)) -> a__dbls(mark(X)) mark(from(X)) -> a__from(X) mark(indx(X1,X2)) -> a__indx(mark(X1),X2) mark(nil()) -> nil() mark(s(X)) -> s(X) mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2)) - Signature: {a__dbl/1,a__dbls/1,a__from/1,a__indx/2,a__sel/2,mark/1} / {0/0,cons/2,dbl/1,dbls/1,from/1,indx/2,nil/0,s/1 ,sel/2} - Obligation: innermost runtime complexity wrt. defined symbols {a__dbl,a__dbls,a__from,a__indx,a__sel ,mark} and constructors {0,cons,dbl,dbls,from,indx,nil,s,sel} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: mark(x){x -> dbl(x)} = mark(dbl(x)) ->^+ a__dbl(mark(x)) = C[mark(x) = mark(x){}] WORST_CASE(Omega(n^1),?)
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