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TRS Stand 20472 pair #381711682
details
property
value
status
complete
benchmark
5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n109.star.cs.uiowa.edu
space
Beerendonk_07
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.43072509766 seconds
cpu usage
4.351036831
max memory
7.15264E8
stage attributes
key
value
output-size
7031
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x)) and(x,false()) -> false() and(false(),x) -> false() and(true(),true()) -> true() even(0()) -> true() even(s(0())) -> false() even(s(s(x))) -> even(x) gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y())) -> gr(x,y()) p(0()) -> 0() p(s(x)) -> x Proof: DP Processor: DPs: cond#(true(),x) -> p#(x) cond#(true(),x) -> gr#(x,0()) cond#(true(),x) -> even#(x) cond#(true(),x) -> and#(even(x),gr(x,0())) cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) even#(s(s(x))) -> even#(x) gr#(s(x),s(y())) -> gr#(x,y()) TRS: cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x)) and(x,false()) -> false() and(false(),x) -> false() and(true(),true()) -> true() even(0()) -> true() even(s(0())) -> false() even(s(s(x))) -> even(x) gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y())) -> gr(x,y()) p(0()) -> 0() p(s(x)) -> x TDG Processor: DPs: cond#(true(),x) -> p#(x) cond#(true(),x) -> gr#(x,0()) cond#(true(),x) -> even#(x) cond#(true(),x) -> and#(even(x),gr(x,0())) cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) even#(s(s(x))) -> even#(x) gr#(s(x),s(y())) -> gr#(x,y()) TRS: cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x)) and(x,false()) -> false() and(false(),x) -> false() and(true(),true()) -> true() even(0()) -> true() even(s(0())) -> false() even(s(s(x))) -> even(x) gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y())) -> gr(x,y()) p(0()) -> 0() p(s(x)) -> x graph: even#(s(s(x))) -> even#(x) -> even#(s(s(x))) -> even#(x) gr#(s(x),s(y())) -> gr#(x,y()) -> gr#(s(x),s(y())) -> gr#(x,y()) cond#(true(),x) -> even#(x) -> even#(s(s(x))) -> even#(x) cond#(true(),x) -> gr#(x,0()) -> gr#(s(x),s(y())) -> gr#(x,y()) cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) -> cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) -> cond#(true(),x) -> and#(even(x),gr(x,0())) cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) -> cond#(true(),x) -> even#(x) cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) -> cond#(true(),x) -> gr#(x,0()) cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) -> cond#(true(),x) -> p#(x) SCC Processor: #sccs: 3 #rules: 3 #arcs: 9/49 DPs: cond#(true(),x) -> cond#(and(even(x),gr(x,0())),p(x)) TRS: cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x)) and(x,false()) -> false() and(false(),x) -> false() and(true(),true()) -> true() even(0()) -> true() even(s(0())) -> false() even(s(s(x))) -> even(x) gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y())) -> gr(x,y()) p(0()) -> 0()
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