Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487070052
details
property
value
status
complete
benchmark
Ex15_Luc98_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.87627 seconds
cpu usage
9.98622
user time
8.34091
system time
1.64531
max virtual memory
5903208.0
max residence set size
96904.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: and(true(),X) -> activate(X) and(false(),Y) -> false() if(true(),X,Y) -> activate(X) if(false(),X,Y) -> activate(Y) add(0(),X) -> activate(X) add(s(X),Y) -> s(n__add(activate(X),activate(Y))) first(0(),X) -> nil() first(s(X),cons(Y,Z)) -> cons(activate(Y),n__first(activate(X),activate(Z))) from(X) -> cons(activate(X),n__from(n__s(activate(X)))) add(X1,X2) -> n__add(X1,X2) first(X1,X2) -> n__first(X1,X2) from(X) -> n__from(X) s(X) -> n__s(X) activate(n__add(X1,X2)) -> add(activate(X1),X2) activate(n__first(X1,X2)) -> first(activate(X1),activate(X2)) activate(n__from(X)) -> from(X) activate(n__s(X)) -> s(X) activate(X) -> X Proof: WPO Processor: algebra: Max weight function: w0 = 0 w(n__from) = w(from) = w(if) = 4 w(false) = 3 w(n__first) = w(n__add) = 2 w(add) = w(0) = 1 w(n__s) = w(cons) = w(nil) = w(first) = w(s) = w(activate) = w(and) = w( true) = 0 status function: st(if) = [0, 2, 1] st(n__first) = st(cons) = st(first) = st(n__add) = st(add) = [1, 0] st(n__from) = st(n__s) = st(from) = [0] st(nil) = [] st(s) = [0] st(0) = st(false) = [] st(activate) = [0] st(and) = [0, 1] st(true) = [] subterm penalty function: sp(if, 2) = 6 sp(n__from, 0) = sp(from, 0) = sp(n__add, 1) = sp(add, 1) = 4 sp(n__first, 1) = sp(first, 1) = 2 sp(n__first, 0) = sp(first, 0) = sp(n__add, 0) = sp(add, 0) = sp(and, 0) = 1 sp(n__s, 0) = sp(cons, 1) = sp(cons, 0) = sp(s, 0) = sp(if, 1) = sp( if, 0) = sp(activate, 0) = sp(and, 1) = 0 precedence: if ~ and > activate > add > s > from ~ first > n__from ~ n__s ~ n__first ~ cons ~ nil ~ n__add ~ 0 ~ false ~ true problem: Qed
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard