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TRS Standard pair #487067017
details
property
value
status
complete
benchmark
#4.30c.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
Strategy_removed_AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
76.3045 seconds
cpu usage
299.528
user time
296.327
system time
3.20112
max virtual memory
5697136.0
max residence set size
225556.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) minus(x,0()) -> x minus(0(),x) -> 0() minus(s(x),s(y)) -> minus(x,y) gcd(0(),y) -> y gcd(s(x),0()) -> s(x) gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) if_gcd(true(),x,y) -> gcd(minus(x,y),y) if_gcd(false(),x,y) -> gcd(minus(y,x),x) Proof: DP Processor: DPs: le#(s(x),s(y)) -> le#(x,y) minus#(s(x),s(y)) -> minus#(x,y) gcd#(s(x),s(y)) -> le#(y,x) gcd#(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y)) if_gcd#(true(),x,y) -> minus#(x,y) if_gcd#(true(),x,y) -> gcd#(minus(x,y),y) if_gcd#(false(),x,y) -> minus#(y,x) if_gcd#(false(),x,y) -> gcd#(minus(y,x),x) TRS: le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) minus(x,0()) -> x minus(0(),x) -> 0() minus(s(x),s(y)) -> minus(x,y) gcd(0(),y) -> y gcd(s(x),0()) -> s(x) gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) if_gcd(true(),x,y) -> gcd(minus(x,y),y) if_gcd(false(),x,y) -> gcd(minus(y,x),x) TDG Processor: DPs: le#(s(x),s(y)) -> le#(x,y) minus#(s(x),s(y)) -> minus#(x,y) gcd#(s(x),s(y)) -> le#(y,x) gcd#(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y)) if_gcd#(true(),x,y) -> minus#(x,y) if_gcd#(true(),x,y) -> gcd#(minus(x,y),y) if_gcd#(false(),x,y) -> minus#(y,x) if_gcd#(false(),x,y) -> gcd#(minus(y,x),x) TRS: le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) minus(x,0()) -> x minus(0(),x) -> 0() minus(s(x),s(y)) -> minus(x,y) gcd(0(),y) -> y gcd(s(x),0()) -> s(x) gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) if_gcd(true(),x,y) -> gcd(minus(x,y),y) if_gcd(false(),x,y) -> gcd(minus(y,x),x) graph: if_gcd#(false(),x,y) -> gcd#(minus(y,x),x) -> gcd#(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y)) if_gcd#(false(),x,y) -> gcd#(minus(y,x),x) -> gcd#(s(x),s(y)) -> le#(y,x) if_gcd#(false(),x,y) -> minus#(y,x) -> minus#(s(x),s(y)) -> minus#(x,y) if_gcd#(true(),x,y) -> gcd#(minus(x,y),y) -> gcd#(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y)) if_gcd#(true(),x,y) -> gcd#(minus(x,y),y) -> gcd#(s(x),s(y)) -> le#(y,x) if_gcd#(true(),x,y) -> minus#(x,y) -> minus#(s(x),s(y)) -> minus#(x,y) gcd#(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y)) -> if_gcd#(false(),x,y) -> gcd#(minus(y,x),x) gcd#(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y)) -> if_gcd#(false(),x,y) -> minus#(y,x) gcd#(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y)) -> if_gcd#(true(),x,y) -> gcd#(minus(x,y),y) gcd#(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y)) -> if_gcd#(true(),x,y) -> minus#(x,y) gcd#(s(x),s(y)) -> le#(y,x) -> le#(s(x),s(y)) -> le#(x,y) minus#(s(x),s(y)) -> minus#(x,y) -> minus#(s(x),s(y)) -> minus#(x,y) le#(s(x),s(y)) -> le#(x,y) -> le#(s(x),s(y)) -> le#(x,y) SCC Processor: #sccs: 3 #rules: 5 #arcs: 13/64 DPs: if_gcd#(false(),x,y) -> gcd#(minus(y,x),x) gcd#(s(x),s(y)) -> if_gcd#(le(y,x),s(x),s(y)) if_gcd#(true(),x,y) -> gcd#(minus(x,y),y) TRS: le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) minus(x,0()) -> x minus(0(),x) -> 0() minus(s(x),s(y)) -> minus(x,y) gcd(0(),y) -> y
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