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Runti Compl Full Rewri 10127 pair #381902901
details
property
value
status
complete
benchmark
wiehe11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n051.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
295.319454908 seconds
cpu usage
803.926782837
max memory
2.683015168E9
stage attributes
key
value
output-size
3631
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: app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) app(nil(),k) -> k gt(s(x),s(y)) -> gt(x,y) gt(s(x),zero()) -> true() gt(zero(),y) -> false() id(x) -> x if(false(),x,y) -> y if(true(),x,y) -> x minus(x,0()) -> x minus(minus(x,y),z) -> minus(x,plus(y,z)) minus(s(x),s(y)) -> minus(x,y) not(x) -> if(x,false(),true()) plus(0(),y) -> y plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(s(x),y) -> s(plus(x,y)) plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(zero(),y) -> y quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) sum(cons(x,nil())) -> cons(x,nil()) - Signature: {app/2,gt/2,id/1,if/3,minus/2,not/1,plus/2,quot/2,sum/1} / {0/0,cons/2,false/0,nil/0,s/1,true/0,zero/0} - Obligation: runtime complexity wrt. defined symbols {app,gt,id,if,minus,not,plus,quot,sum} and constructors {0,cons ,false,nil,s,true,zero} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) app(nil(),k) -> k gt(s(x),s(y)) -> gt(x,y) gt(s(x),zero()) -> true() gt(zero(),y) -> false() id(x) -> x if(false(),x,y) -> y if(true(),x,y) -> x minus(x,0()) -> x minus(minus(x,y),z) -> minus(x,plus(y,z)) minus(s(x),s(y)) -> minus(x,y) not(x) -> if(x,false(),true()) plus(0(),y) -> y plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(s(x),y) -> s(plus(x,y)) plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(zero(),y) -> y quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) sum(cons(x,nil())) -> cons(x,nil()) - Signature: {app/2,gt/2,id/1,if/3,minus/2,not/1,plus/2,quot/2,sum/1} / {0/0,cons/2,false/0,nil/0,s/1,true/0,zero/0} - Obligation: runtime complexity wrt. defined symbols {app,gt,id,if,minus,not,plus,quot,sum} and constructors {0,cons ,false,nil,s,true,zero} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: app(y,z){y -> cons(x,y)} = app(cons(x,y),z) ->^+ cons(x,app(y,z)) = C[app(y,z) = app(y,z){}] WORST_CASE(Omega(n^1),?)
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