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Runti Compl Full Rewri 10127 pair #381902780
details
property
value
status
complete
benchmark
Ex5_7_Luc97.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
Strategy_removed_CSR_05
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
295.805088043 seconds
cpu usage
484.091158796
max memory
6.219214848E9
stage attributes
key
value
output-size
2759
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: dbl(0()) -> 0() dbl(s(X)) -> s(s(dbl(X))) dbl1(0()) -> 01() dbl1(s(X)) -> s1(s1(dbl1(X))) dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y)) dbls(nil()) -> nil() from(X) -> cons(X,from(s(X))) indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z)) indx(nil(),X) -> nil() quote(0()) -> 01() quote(dbl(X)) -> dbl1(X) quote(s(X)) -> s1(quote(X)) quote(sel(X,Y)) -> sel1(X,Y) sel(0(),cons(X,Y)) -> X sel(s(X),cons(Y,Z)) -> sel(X,Z) sel1(0(),cons(X,Y)) -> X sel1(s(X),cons(Y,Z)) -> sel1(X,Z) - Signature: {dbl/1,dbl1/1,dbls/1,from/1,indx/2,quote/1,sel/2,sel1/2} / {0/0,01/0,cons/2,nil/0,s/1,s1/1} - Obligation: runtime complexity wrt. defined symbols {dbl,dbl1,dbls,from,indx,quote,sel,sel1} and constructors {0,01 ,cons,nil,s,s1} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: dbl(0()) -> 0() dbl(s(X)) -> s(s(dbl(X))) dbl1(0()) -> 01() dbl1(s(X)) -> s1(s1(dbl1(X))) dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y)) dbls(nil()) -> nil() from(X) -> cons(X,from(s(X))) indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z)) indx(nil(),X) -> nil() quote(0()) -> 01() quote(dbl(X)) -> dbl1(X) quote(s(X)) -> s1(quote(X)) quote(sel(X,Y)) -> sel1(X,Y) sel(0(),cons(X,Y)) -> X sel(s(X),cons(Y,Z)) -> sel(X,Z) sel1(0(),cons(X,Y)) -> X sel1(s(X),cons(Y,Z)) -> sel1(X,Z) - Signature: {dbl/1,dbl1/1,dbls/1,from/1,indx/2,quote/1,sel/2,sel1/2} / {0/0,01/0,cons/2,nil/0,s/1,s1/1} - Obligation: runtime complexity wrt. defined symbols {dbl,dbl1,dbls,from,indx,quote,sel,sel1} and constructors {0,01 ,cons,nil,s,s1} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: dbl(x){x -> s(x)} = dbl(s(x)) ->^+ s(s(dbl(x))) = C[dbl(x) = dbl(x){}] WORST_CASE(Omega(n^1),?)
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