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TRS Standard pair #487070202
details
property
value
status
complete
benchmark
Ex4_7_37_Bor03_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.892665 seconds
cpu usage
2.33554
user time
1.76958
system time
0.565953
max virtual memory
1561992.0
max residence set size
71336.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: from(X) -> cons(X,n__from(s(X))) sel(0(),cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,activate(XS)) minus(X,0()) -> 0() minus(s(X),s(Y)) -> minus(X,Y) quot(0(),s(Y)) -> 0() quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) zWquot(XS,nil()) -> nil() zWquot(nil(),XS) -> nil() zWquot(cons(X,XS),cons(Y,YS)) -> cons(quot(X,Y),n__zWquot(activate(XS),activate(YS))) from(X) -> n__from(X) zWquot(X1,X2) -> n__zWquot(X1,X2) activate(n__from(X)) -> from(X) activate(n__zWquot(X1,X2)) -> zWquot(X1,X2) activate(X) -> X Proof: DP Processor: DPs: sel#(s(N),cons(X,XS)) -> activate#(XS) sel#(s(N),cons(X,XS)) -> sel#(N,activate(XS)) minus#(s(X),s(Y)) -> minus#(X,Y) quot#(s(X),s(Y)) -> minus#(X,Y) quot#(s(X),s(Y)) -> quot#(minus(X,Y),s(Y)) zWquot#(cons(X,XS),cons(Y,YS)) -> activate#(YS) zWquot#(cons(X,XS),cons(Y,YS)) -> activate#(XS) zWquot#(cons(X,XS),cons(Y,YS)) -> quot#(X,Y) activate#(n__from(X)) -> from#(X) activate#(n__zWquot(X1,X2)) -> zWquot#(X1,X2) TRS: from(X) -> cons(X,n__from(s(X))) sel(0(),cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,activate(XS)) minus(X,0()) -> 0() minus(s(X),s(Y)) -> minus(X,Y) quot(0(),s(Y)) -> 0() quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) zWquot(XS,nil()) -> nil() zWquot(nil(),XS) -> nil() zWquot(cons(X,XS),cons(Y,YS)) -> cons(quot(X,Y),n__zWquot(activate(XS),activate(YS))) from(X) -> n__from(X) zWquot(X1,X2) -> n__zWquot(X1,X2) activate(n__from(X)) -> from(X) activate(n__zWquot(X1,X2)) -> zWquot(X1,X2) activate(X) -> X TDG Processor: DPs: sel#(s(N),cons(X,XS)) -> activate#(XS) sel#(s(N),cons(X,XS)) -> sel#(N,activate(XS)) minus#(s(X),s(Y)) -> minus#(X,Y) quot#(s(X),s(Y)) -> minus#(X,Y) quot#(s(X),s(Y)) -> quot#(minus(X,Y),s(Y)) zWquot#(cons(X,XS),cons(Y,YS)) -> activate#(YS) zWquot#(cons(X,XS),cons(Y,YS)) -> activate#(XS) zWquot#(cons(X,XS),cons(Y,YS)) -> quot#(X,Y) activate#(n__from(X)) -> from#(X) activate#(n__zWquot(X1,X2)) -> zWquot#(X1,X2) TRS: from(X) -> cons(X,n__from(s(X))) sel(0(),cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,activate(XS)) minus(X,0()) -> 0() minus(s(X),s(Y)) -> minus(X,Y) quot(0(),s(Y)) -> 0() quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) zWquot(XS,nil()) -> nil() zWquot(nil(),XS) -> nil() zWquot(cons(X,XS),cons(Y,YS)) -> cons(quot(X,Y),n__zWquot(activate(XS),activate(YS))) from(X) -> n__from(X) zWquot(X1,X2) -> n__zWquot(X1,X2) activate(n__from(X)) -> from(X) activate(n__zWquot(X1,X2)) -> zWquot(X1,X2) activate(X) -> X graph: zWquot#(cons(X,XS),cons(Y,YS)) -> quot#(X,Y) -> quot#(s(X),s(Y)) -> quot#(minus(X,Y),s(Y)) zWquot#(cons(X,XS),cons(Y,YS)) -> quot#(X,Y) -> quot#(s(X),s(Y)) -> minus#(X,Y) zWquot#(cons(X,XS),cons(Y,YS)) -> activate#(YS) -> activate#(n__zWquot(X1,X2)) -> zWquot#(X1,X2) zWquot#(cons(X,XS),cons(Y,YS)) -> activate#(YS) -> activate#(n__from(X)) -> from#(X) zWquot#(cons(X,XS),cons(Y,YS)) -> activate#(XS) -> activate#(n__zWquot(X1,X2)) -> zWquot#(X1,X2) zWquot#(cons(X,XS),cons(Y,YS)) -> activate#(XS) -> activate#(n__from(X)) -> from#(X) quot#(s(X),s(Y)) -> quot#(minus(X,Y),s(Y)) -> quot#(s(X),s(Y)) -> quot#(minus(X,Y),s(Y)) quot#(s(X),s(Y)) -> quot#(minus(X,Y),s(Y)) -> quot#(s(X),s(Y)) -> minus#(X,Y) quot#(s(X),s(Y)) -> minus#(X,Y) -> minus#(s(X),s(Y)) -> minus#(X,Y) minus#(s(X),s(Y)) -> minus#(X,Y) -> minus#(s(X),s(Y)) -> minus#(X,Y) activate#(n__zWquot(X1,X2)) -> zWquot#(X1,X2) -> zWquot#(cons(X,XS),cons(Y,YS)) -> quot#(X,Y) activate#(n__zWquot(X1,X2)) -> zWquot#(X1,X2) ->
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