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Runti Compl Full Rewri 10127 pair #381902241
details
property
value
status
complete
benchmark
tower.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
AProVE_06
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
295.391463995 seconds
cpu usage
547.117619242
max memory
9.009774592E9
stage attributes
key
value
output-size
2211
starexec-result
WORST_CASE(Omega(n^1),?)
output
/export/starexec/sandbox2/solver/bin/starexec_run_tct_rc /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: exp(x,0()) -> s(0()) exp(x,s(y)) -> times(x,exp(x,y)) p(s(0())) -> 0() p(s(s(x))) -> s(p(s(x))) plus(0(),x) -> x plus(s(x),y) -> s(plus(p(s(x)),y)) times(0(),y) -> 0() times(s(x),y) -> plus(y,times(p(s(x)),y)) tower(x,y) -> towerIter(x,y,s(0())) towerIter(0(),y,z) -> z towerIter(s(x),y,z) -> towerIter(p(s(x)),y,exp(y,z)) - Signature: {exp/2,p/1,plus/2,times/2,tower/2,towerIter/3} / {0/0,s/1} - Obligation: runtime complexity wrt. defined symbols {exp,p,plus,times,tower,towerIter} and constructors {0,s} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: exp(x,0()) -> s(0()) exp(x,s(y)) -> times(x,exp(x,y)) p(s(0())) -> 0() p(s(s(x))) -> s(p(s(x))) plus(0(),x) -> x plus(s(x),y) -> s(plus(p(s(x)),y)) times(0(),y) -> 0() times(s(x),y) -> plus(y,times(p(s(x)),y)) tower(x,y) -> towerIter(x,y,s(0())) towerIter(0(),y,z) -> z towerIter(s(x),y,z) -> towerIter(p(s(x)),y,exp(y,z)) - Signature: {exp/2,p/1,plus/2,times/2,tower/2,towerIter/3} / {0/0,s/1} - Obligation: runtime complexity wrt. defined symbols {exp,p,plus,times,tower,towerIter} and constructors {0,s} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: exp(x,y){y -> s(y)} = exp(x,s(y)) ->^+ times(x,exp(x,y)) = C[exp(x,y) = exp(x,y){}] WORST_CASE(Omega(n^1),?)
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