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Runti Compl Inner Rewri 22807 pair #381904302
details
property
value
status
complete
benchmark
gcdMinMax.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
294.212549925 seconds
cpu usage
952.55241548
max memory
4.498931712E9
stage attributes
key
value
output-size
2033
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: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) gcd(0(),s(y)) -> s(y) gcd(s(x),0()) -> s(x) gcd(s(x),s(y)) -> gcd(-(s(max(x,y)),s(min(x,y))),s(min(x,y))) max(x,0()) -> x max(0(),y) -> y max(s(x),s(y)) -> s(max(x,y)) min(x,0()) -> 0() min(0(),y) -> 0() min(s(x),s(y)) -> s(min(x,y)) - Signature: {-/2,gcd/2,max/2,min/2} / {0/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {-,gcd,max,min} and constructors {0,s} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) gcd(0(),s(y)) -> s(y) gcd(s(x),0()) -> s(x) gcd(s(x),s(y)) -> gcd(-(s(max(x,y)),s(min(x,y))),s(min(x,y))) max(x,0()) -> x max(0(),y) -> y max(s(x),s(y)) -> s(max(x,y)) min(x,0()) -> 0() min(0(),y) -> 0() min(s(x),s(y)) -> s(min(x,y)) - Signature: {-/2,gcd/2,max/2,min/2} / {0/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {-,gcd,max,min} and constructors {0,s} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: -(x,y){x -> s(x),y -> s(y)} = -(s(x),s(y)) ->^+ -(x,y) = C[-(x,y) = -(x,y){}] WORST_CASE(Omega(n^1),?)
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