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TRS Standard pair #487073222
details
property
value
status
complete
benchmark
thiemann02.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n185.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
99.3444 seconds
cpu usage
335.799
user time
330.226
system time
5.57396
max virtual memory
6419416.0
max residence set size
837744.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Problem: eq(0(),0()) -> true() eq(0(),s(x)) -> false() eq(s(x),0()) -> false() eq(s(x),s(y)) -> eq(x,y) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) app(nil(),y) -> y app(add(n,x),y) -> add(n,app(x,y)) min(add(n,nil())) -> n min(add(n,add(m,x))) -> if_min(le(n,m),add(n,add(m,x))) if_min(true(),add(n,add(m,x))) -> min(add(n,x)) if_min(false(),add(n,add(m,x))) -> min(add(m,x)) head(add(n,x)) -> n tail(add(n,x)) -> x tail(nil()) -> nil() null(nil()) -> true() null(add(n,x)) -> false() rm(n,nil()) -> nil() rm(n,add(m,x)) -> if_rm(eq(n,m),n,add(m,x)) if_rm(true(),n,add(m,x)) -> rm(n,x) if_rm(false(),n,add(m,x)) -> add(m,rm(n,x)) minsort(x) -> mins(x,nil(),nil()) mins(x,y,z) -> if(null(x),x,y,z) if(true(),x,y,z) -> z if(false(),x,y,z) -> if2(eq(head(x),min(x)),x,y,z) if2(true(),x,y,z) -> mins(app(rm(head(x),tail(x)),y),nil(),app(z,add(head(x),nil()))) if2(false(),x,y,z) -> mins(tail(x),add(head(x),y),z) Proof: Open
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