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TRS Standard pair #487067407
details
property
value
status
complete
benchmark
#3.38.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.597877 seconds
cpu usage
1.23938
user time
0.950904
system time
0.288474
max virtual memory
3297032.0
max residence set size
65776.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: rev(nil()) -> nil() rev(cons(x,l)) -> cons(rev1(x,l),rev2(x,l)) rev1(0(),nil()) -> 0() rev1(s(x),nil()) -> s(x) rev1(x,cons(y,l)) -> rev1(y,l) rev2(x,nil()) -> nil() rev2(x,cons(y,l)) -> rev(cons(x,rev2(y,l))) Proof: DP Processor: DPs: rev#(cons(x,l)) -> rev2#(x,l) rev#(cons(x,l)) -> rev1#(x,l) rev1#(x,cons(y,l)) -> rev1#(y,l) rev2#(x,cons(y,l)) -> rev2#(y,l) rev2#(x,cons(y,l)) -> rev#(cons(x,rev2(y,l))) TRS: rev(nil()) -> nil() rev(cons(x,l)) -> cons(rev1(x,l),rev2(x,l)) rev1(0(),nil()) -> 0() rev1(s(x),nil()) -> s(x) rev1(x,cons(y,l)) -> rev1(y,l) rev2(x,nil()) -> nil() rev2(x,cons(y,l)) -> rev(cons(x,rev2(y,l))) TDG Processor: DPs: rev#(cons(x,l)) -> rev2#(x,l) rev#(cons(x,l)) -> rev1#(x,l) rev1#(x,cons(y,l)) -> rev1#(y,l) rev2#(x,cons(y,l)) -> rev2#(y,l) rev2#(x,cons(y,l)) -> rev#(cons(x,rev2(y,l))) TRS: rev(nil()) -> nil() rev(cons(x,l)) -> cons(rev1(x,l),rev2(x,l)) rev1(0(),nil()) -> 0() rev1(s(x),nil()) -> s(x) rev1(x,cons(y,l)) -> rev1(y,l) rev2(x,nil()) -> nil() rev2(x,cons(y,l)) -> rev(cons(x,rev2(y,l))) graph: rev1#(x,cons(y,l)) -> rev1#(y,l) -> rev1#(x,cons(y,l)) -> rev1#(y,l) rev2#(x,cons(y,l)) -> rev2#(y,l) -> rev2#(x,cons(y,l)) -> rev#(cons(x,rev2(y,l))) rev2#(x,cons(y,l)) -> rev2#(y,l) -> rev2#(x,cons(y,l)) -> rev2#(y,l) rev2#(x,cons(y,l)) -> rev#(cons(x,rev2(y,l))) -> rev#(cons(x,l)) -> rev1#(x,l) rev2#(x,cons(y,l)) -> rev#(cons(x,rev2(y,l))) -> rev#(cons(x,l)) -> rev2#(x,l) rev#(cons(x,l)) -> rev1#(x,l) -> rev1#(x,cons(y,l)) -> rev1#(y,l) rev#(cons(x,l)) -> rev2#(x,l) -> rev2#(x,cons(y,l)) -> rev#(cons(x,rev2(y,l))) rev#(cons(x,l)) -> rev2#(x,l) -> rev2#(x,cons(y,l)) -> rev2#(y,l) SCC Processor: #sccs: 2 #rules: 4 #arcs: 8/25 DPs: rev2#(x,cons(y,l)) -> rev2#(y,l) rev2#(x,cons(y,l)) -> rev#(cons(x,rev2(y,l))) rev#(cons(x,l)) -> rev2#(x,l) TRS: rev(nil()) -> nil() rev(cons(x,l)) -> cons(rev1(x,l),rev2(x,l)) rev1(0(),nil()) -> 0() rev1(s(x),nil()) -> s(x) rev1(x,cons(y,l)) -> rev1(y,l) rev2(x,nil()) -> nil() rev2(x,cons(y,l)) -> rev(cons(x,rev2(y,l))) Subterm Criterion Processor: simple projection: pi(rev) = 0 pi(cons) = [1,1] pi(rev2) = 1 pi(rev#) = 0 pi(rev2#) = [1,1] problem: DPs: rev#(cons(x,l)) -> rev2#(x,l) TRS: rev(nil()) -> nil() rev(cons(x,l)) -> cons(rev1(x,l),rev2(x,l)) rev1(0(),nil()) -> 0() rev1(s(x),nil()) -> s(x) rev1(x,cons(y,l)) -> rev1(y,l) rev2(x,nil()) -> nil() rev2(x,cons(y,l)) -> rev(cons(x,rev2(y,l))) SCC Processor: #sccs: 0 #rules: 0 #arcs: 5/1 DPs: rev1#(x,cons(y,l)) -> rev1#(y,l) TRS:
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