Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487072977
details
property
value
status
complete
benchmark
thiemann40.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.889324 seconds
cpu usage
2.47294
user time
1.91761
system time
0.555329
max virtual memory
4774864.0
max residence set size
68944.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: nonZero(0()) -> false() nonZero(s(x)) -> true() p(0()) -> 0() p(s(x)) -> x id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x,0()) rand(x,y) -> if(nonZero(x),x,y) if(false(),x,y) -> y if(true(),x,y) -> rand(p(x),id_inc(y)) Proof: DP Processor: DPs: random#(x) -> rand#(x,0()) rand#(x,y) -> nonZero#(x) rand#(x,y) -> if#(nonZero(x),x,y) if#(true(),x,y) -> id_inc#(y) if#(true(),x,y) -> p#(x) if#(true(),x,y) -> rand#(p(x),id_inc(y)) TRS: nonZero(0()) -> false() nonZero(s(x)) -> true() p(0()) -> 0() p(s(x)) -> x id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x,0()) rand(x,y) -> if(nonZero(x),x,y) if(false(),x,y) -> y if(true(),x,y) -> rand(p(x),id_inc(y)) TDG Processor: DPs: random#(x) -> rand#(x,0()) rand#(x,y) -> nonZero#(x) rand#(x,y) -> if#(nonZero(x),x,y) if#(true(),x,y) -> id_inc#(y) if#(true(),x,y) -> p#(x) if#(true(),x,y) -> rand#(p(x),id_inc(y)) TRS: nonZero(0()) -> false() nonZero(s(x)) -> true() p(0()) -> 0() p(s(x)) -> x id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x,0()) rand(x,y) -> if(nonZero(x),x,y) if(false(),x,y) -> y if(true(),x,y) -> rand(p(x),id_inc(y)) graph: if#(true(),x,y) -> rand#(p(x),id_inc(y)) -> rand#(x,y) -> if#(nonZero(x),x,y) if#(true(),x,y) -> rand#(p(x),id_inc(y)) -> rand#(x,y) -> nonZero#(x) rand#(x,y) -> if#(nonZero(x),x,y) -> if#(true(),x,y) -> rand#(p(x),id_inc(y)) rand#(x,y) -> if#(nonZero(x),x,y) -> if#(true(),x,y) -> p#(x) rand#(x,y) -> if#(nonZero(x),x,y) -> if#(true(),x,y) -> id_inc#(y) random#(x) -> rand#(x,0()) -> rand#(x,y) -> if#(nonZero(x),x,y) random#(x) -> rand#(x,0()) -> rand#(x,y) -> nonZero#(x) SCC Processor: #sccs: 1 #rules: 2 #arcs: 7/36 DPs: if#(true(),x,y) -> rand#(p(x),id_inc(y)) rand#(x,y) -> if#(nonZero(x),x,y) TRS: nonZero(0()) -> false() nonZero(s(x)) -> true() p(0()) -> 0() p(s(x)) -> x id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x,0()) rand(x,y) -> if(nonZero(x),x,y) if(false(),x,y) -> y if(true(),x,y) -> rand(p(x),id_inc(y)) Usable Rule Processor: DPs: if#(true(),x,y) -> rand#(p(x),id_inc(y)) rand#(x,y) -> if#(nonZero(x),x,y) TRS: id_inc(x) -> x id_inc(x) -> s(x) p(0()) -> 0() p(s(x)) -> x nonZero(0()) -> false() nonZero(s(x)) -> true() Arctic Interpretation Processor: dimension: 1 usable rules: p(0()) -> 0() p(s(x)) -> x nonZero(0()) -> false() nonZero(s(x)) -> true()
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard