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TRS Standard pair #516964769
details
property
value
status
complete
benchmark
revlist.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n009.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.826297044754 seconds
cpu usage
1.953841847
max memory
3.77151488E8
stage attributes
key
value
output-size
4294
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: rev1(0(),nil()) -> 0() rev1(s(X),nil()) -> s(X) rev1(X,cons(Y,L)) -> rev1(Y,L) rev(nil()) -> nil() rev(cons(X,L)) -> cons(rev1(X,L),rev2(X,L)) rev2(X,nil()) -> nil() rev2(X,cons(Y,L)) -> rev(cons(X,rev(rev2(Y,L)))) Proof: DP Processor: DPs: rev1#(X,cons(Y,L)) -> rev1#(Y,L) rev#(cons(X,L)) -> rev2#(X,L) rev#(cons(X,L)) -> rev1#(X,L) rev2#(X,cons(Y,L)) -> rev2#(Y,L) rev2#(X,cons(Y,L)) -> rev#(rev2(Y,L)) rev2#(X,cons(Y,L)) -> rev#(cons(X,rev(rev2(Y,L)))) TRS: rev1(0(),nil()) -> 0() rev1(s(X),nil()) -> s(X) rev1(X,cons(Y,L)) -> rev1(Y,L) rev(nil()) -> nil() rev(cons(X,L)) -> cons(rev1(X,L),rev2(X,L)) rev2(X,nil()) -> nil() rev2(X,cons(Y,L)) -> rev(cons(X,rev(rev2(Y,L)))) TDG Processor: DPs: rev1#(X,cons(Y,L)) -> rev1#(Y,L) rev#(cons(X,L)) -> rev2#(X,L) rev#(cons(X,L)) -> rev1#(X,L) rev2#(X,cons(Y,L)) -> rev2#(Y,L) rev2#(X,cons(Y,L)) -> rev#(rev2(Y,L)) rev2#(X,cons(Y,L)) -> rev#(cons(X,rev(rev2(Y,L)))) TRS: rev1(0(),nil()) -> 0() rev1(s(X),nil()) -> s(X) rev1(X,cons(Y,L)) -> rev1(Y,L) rev(nil()) -> nil() rev(cons(X,L)) -> cons(rev1(X,L),rev2(X,L)) rev2(X,nil()) -> nil() rev2(X,cons(Y,L)) -> rev(cons(X,rev(rev2(Y,L)))) graph: rev2#(X,cons(Y,L)) -> rev2#(Y,L) -> rev2#(X,cons(Y,L)) -> rev#(cons(X,rev(rev2(Y,L)))) rev2#(X,cons(Y,L)) -> rev2#(Y,L) -> rev2#(X,cons(Y,L)) -> rev#(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#(rev2(Y,L)) -> rev#(cons(X,L)) -> rev1#(X,L) rev2#(X,cons(Y,L)) -> rev#(rev2(Y,L)) -> rev#(cons(X,L)) -> rev2#(X,L) rev2#(X,cons(Y,L)) -> rev#(cons(X,rev(rev2(Y,L)))) -> rev#(cons(X,L)) -> rev1#(X,L) rev2#(X,cons(Y,L)) -> rev#(cons(X,rev(rev2(Y,L)))) -> rev#(cons(X,L)) -> rev2#(X,L) rev#(cons(X,L)) -> rev2#(X,L) -> rev2#(X,cons(Y,L)) -> rev#(cons(X,rev(rev2(Y,L)))) rev#(cons(X,L)) -> rev2#(X,L) -> rev2#(X,cons(Y,L)) -> rev#(rev2(Y,L)) rev#(cons(X,L)) -> rev2#(X,L) -> rev2#(X,cons(Y,L)) -> rev2#(Y,L) rev#(cons(X,L)) -> rev1#(X,L) -> rev1#(X,cons(Y,L)) -> rev1#(Y,L) rev1#(X,cons(Y,L)) -> rev1#(Y,L) -> rev1#(X,cons(Y,L)) -> rev1#(Y,L) SCC Processor: #sccs: 2 #rules: 5 #arcs: 12/36 DPs: rev2#(X,cons(Y,L)) -> rev2#(Y,L) rev2#(X,cons(Y,L)) -> rev#(rev2(Y,L)) rev#(cons(X,L)) -> rev2#(X,L) rev2#(X,cons(Y,L)) -> rev#(cons(X,rev(rev2(Y,L)))) TRS: rev1(0(),nil()) -> 0() rev1(s(X),nil()) -> s(X) rev1(X,cons(Y,L)) -> rev1(Y,L) rev(nil()) -> nil() rev(cons(X,L)) -> cons(rev1(X,L),rev2(X,L)) rev2(X,nil()) -> nil() rev2(X,cons(Y,L)) -> rev(cons(X,rev(rev2(Y,L)))) Subterm Criterion Processor: simple projection: pi(cons) = [1,1] pi(rev) = 0 pi(rev2) = 1 pi(rev#) = [0,0] pi(rev2#) = [1,1] problem: DPs: rev2#(X,cons(Y,L)) -> rev#(cons(X,rev(rev2(Y,L))))
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