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Runti Compl Inner Rewri 22807 pair #381904514
details
property
value
status
complete
benchmark
19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n042.star.cs.uiowa.edu
space
Beerendonk_07
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
294.796803951 seconds
cpu usage
1122.63308445
max memory
4.11461632E9
stage attributes
key
value
output-size
2563
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: cond1(true(),x,y,z) -> cond2(gr(x,0()),x,y,z) cond2(false(),x,y,z) -> cond3(gr(y,0()),x,y,z) cond2(true(),x,y,z) -> cond1(or(gr(x,z),gr(y,z)),p(x),y,z) cond3(false(),x,y,z) -> cond1(or(gr(x,z),gr(y,z)),x,y,z) cond3(true(),x,y,z) -> cond1(or(gr(x,z),gr(y,z)),x,p(y),z) gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) or(x,true()) -> true() or(false(),false()) -> false() or(true(),x) -> true() p(0()) -> 0() p(s(x)) -> x - Signature: {cond1/4,cond2/4,cond3/4,gr/2,or/2,p/1} / {0/0,false/0,s/1,true/0} - Obligation: innermost runtime complexity wrt. defined symbols {cond1,cond2,cond3,gr,or,p} and constructors {0,false,s ,true} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: cond1(true(),x,y,z) -> cond2(gr(x,0()),x,y,z) cond2(false(),x,y,z) -> cond3(gr(y,0()),x,y,z) cond2(true(),x,y,z) -> cond1(or(gr(x,z),gr(y,z)),p(x),y,z) cond3(false(),x,y,z) -> cond1(or(gr(x,z),gr(y,z)),x,y,z) cond3(true(),x,y,z) -> cond1(or(gr(x,z),gr(y,z)),x,p(y),z) gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) or(x,true()) -> true() or(false(),false()) -> false() or(true(),x) -> true() p(0()) -> 0() p(s(x)) -> x - Signature: {cond1/4,cond2/4,cond3/4,gr/2,or/2,p/1} / {0/0,false/0,s/1,true/0} - Obligation: innermost runtime complexity wrt. defined symbols {cond1,cond2,cond3,gr,or,p} and constructors {0,false,s ,true} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: gr(x,y){x -> s(x),y -> s(y)} = gr(s(x),s(y)) ->^+ gr(x,y) = C[gr(x,y) = gr(x,y){}] WORST_CASE(Omega(n^1),?)
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