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TRS Standard pair #487068022
details
property
value
status
complete
benchmark
4.61.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.68671 seconds
cpu usage
5.21568
user time
4.00976
system time
1.20592
max virtual memory
4872824.0
max residence set size
87372.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: bsort(nil()) -> nil() bsort(.(x,y)) -> last(.(bubble(.(x,y)),bsort(butlast(bubble(.(x,y)))))) bubble(nil()) -> nil() bubble(.(x,nil())) -> .(x,nil()) bubble(.(x,.(y,z))) -> if(<=(x,y),.(y,bubble(.(x,z))),.(x,bubble(.(y,z)))) last(nil()) -> 0() last(.(x,nil())) -> x last(.(x,.(y,z))) -> last(.(y,z)) butlast(nil()) -> nil() butlast(.(x,nil())) -> nil() butlast(.(x,.(y,z))) -> .(x,butlast(.(y,z))) Proof: DP Processor: DPs: bsort#(.(x,y)) -> butlast#(bubble(.(x,y))) bsort#(.(x,y)) -> bsort#(butlast(bubble(.(x,y)))) bsort#(.(x,y)) -> bubble#(.(x,y)) bsort#(.(x,y)) -> last#(.(bubble(.(x,y)),bsort(butlast(bubble(.(x,y)))))) bubble#(.(x,.(y,z))) -> bubble#(.(y,z)) bubble#(.(x,.(y,z))) -> bubble#(.(x,z)) last#(.(x,.(y,z))) -> last#(.(y,z)) butlast#(.(x,.(y,z))) -> butlast#(.(y,z)) TRS: bsort(nil()) -> nil() bsort(.(x,y)) -> last(.(bubble(.(x,y)),bsort(butlast(bubble(.(x,y)))))) bubble(nil()) -> nil() bubble(.(x,nil())) -> .(x,nil()) bubble(.(x,.(y,z))) -> if(<=(x,y),.(y,bubble(.(x,z))),.(x,bubble(.(y,z)))) last(nil()) -> 0() last(.(x,nil())) -> x last(.(x,.(y,z))) -> last(.(y,z)) butlast(nil()) -> nil() butlast(.(x,nil())) -> nil() butlast(.(x,.(y,z))) -> .(x,butlast(.(y,z))) TDG Processor: DPs: bsort#(.(x,y)) -> butlast#(bubble(.(x,y))) bsort#(.(x,y)) -> bsort#(butlast(bubble(.(x,y)))) bsort#(.(x,y)) -> bubble#(.(x,y)) bsort#(.(x,y)) -> last#(.(bubble(.(x,y)),bsort(butlast(bubble(.(x,y)))))) bubble#(.(x,.(y,z))) -> bubble#(.(y,z)) bubble#(.(x,.(y,z))) -> bubble#(.(x,z)) last#(.(x,.(y,z))) -> last#(.(y,z)) butlast#(.(x,.(y,z))) -> butlast#(.(y,z)) TRS: bsort(nil()) -> nil() bsort(.(x,y)) -> last(.(bubble(.(x,y)),bsort(butlast(bubble(.(x,y)))))) bubble(nil()) -> nil() bubble(.(x,nil())) -> .(x,nil()) bubble(.(x,.(y,z))) -> if(<=(x,y),.(y,bubble(.(x,z))),.(x,bubble(.(y,z)))) last(nil()) -> 0() last(.(x,nil())) -> x last(.(x,.(y,z))) -> last(.(y,z)) butlast(nil()) -> nil() butlast(.(x,nil())) -> nil() butlast(.(x,.(y,z))) -> .(x,butlast(.(y,z))) graph: last#(.(x,.(y,z))) -> last#(.(y,z)) -> last#(.(x,.(y,z))) -> last#(.(y,z)) bubble#(.(x,.(y,z))) -> bubble#(.(y,z)) -> bubble#(.(x,.(y,z))) -> bubble#(.(x,z)) bubble#(.(x,.(y,z))) -> bubble#(.(y,z)) -> bubble#(.(x,.(y,z))) -> bubble#(.(y,z)) bubble#(.(x,.(y,z))) -> bubble#(.(x,z)) -> bubble#(.(x,.(y,z))) -> bubble#(.(x,z)) bubble#(.(x,.(y,z))) -> bubble#(.(x,z)) -> bubble#(.(x,.(y,z))) -> bubble#(.(y,z)) butlast#(.(x,.(y,z))) -> butlast#(.(y,z)) -> butlast#(.(x,.(y,z))) -> butlast#(.(y,z)) bsort#(.(x,y)) -> last#(.(bubble(.(x,y)),bsort(butlast(bubble(.(x,y)))))) -> last#(.(x,.(y,z))) -> last#(.(y,z)) bsort#(.(x,y)) -> bubble#(.(x,y)) -> bubble#(.(x,.(y,z))) -> bubble#(.(x,z)) bsort#(.(x,y)) -> bubble#(.(x,y)) -> bubble#(.(x,.(y,z))) -> bubble#(.(y,z)) bsort#(.(x,y)) -> butlast#(bubble(.(x,y))) -> butlast#(.(x,.(y,z))) -> butlast#(.(y,z)) bsort#(.(x,y)) -> bsort#(butlast(bubble(.(x,y)))) -> bsort#(.(x,y)) -> last#(.(bubble(.(x,y)),bsort(butlast(bubble(.(x,y)))))) bsort#(.(x,y)) -> bsort#(butlast(bubble(.(x,y)))) -> bsort#(.(x,y)) -> bubble#(.(x,y)) bsort#(.(x,y)) -> bsort#(butlast(bubble(.(x,y)))) -> bsort#(.(x,y)) -> bsort#(butlast(bubble(.(x,y)))) bsort#(.(x,y)) -> bsort#(butlast(bubble(.(x,y)))) -> bsort#(.(x,y)) -> butlast#(bubble(.(x,y))) SCC Processor: #sccs: 4 #rules: 5 #arcs: 14/64 DPs: bsort#(.(x,y)) -> bsort#(butlast(bubble(.(x,y)))) TRS: bsort(nil()) -> nil() bsort(.(x,y)) -> last(.(bubble(.(x,y)),bsort(butlast(bubble(.(x,y)))))) bubble(nil()) -> nil() bubble(.(x,nil())) -> .(x,nil()) bubble(.(x,.(y,z))) -> if(<=(x,y),.(y,bubble(.(x,z))),.(x,bubble(.(y,z))))
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