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TRS Stand 20472 pair #381711968
details
property
value
status
complete
benchmark
thiemann10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n050.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.43415403366 seconds
cpu usage
4.455872332
max memory
7.16787712E8
stage attributes
key
value
output-size
8167
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0() lastbit(s(0())) -> s(0()) lastbit(s(s(x))) -> lastbit(x) zero(0()) -> true() zero(s(x)) -> false() conv(x) -> conviter(x,cons(0(),nil())) conviter(x,l) -> if(zero(x),x,l) if(true(),x,l) -> l if(false(),x,l) -> conviter(half(x),cons(lastbit(x),l)) Proof: DP Processor: DPs: half#(s(s(x))) -> half#(x) lastbit#(s(s(x))) -> lastbit#(x) conv#(x) -> conviter#(x,cons(0(),nil())) conviter#(x,l) -> zero#(x) conviter#(x,l) -> if#(zero(x),x,l) if#(false(),x,l) -> lastbit#(x) if#(false(),x,l) -> half#(x) if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) TRS: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0() lastbit(s(0())) -> s(0()) lastbit(s(s(x))) -> lastbit(x) zero(0()) -> true() zero(s(x)) -> false() conv(x) -> conviter(x,cons(0(),nil())) conviter(x,l) -> if(zero(x),x,l) if(true(),x,l) -> l if(false(),x,l) -> conviter(half(x),cons(lastbit(x),l)) TDG Processor: DPs: half#(s(s(x))) -> half#(x) lastbit#(s(s(x))) -> lastbit#(x) conv#(x) -> conviter#(x,cons(0(),nil())) conviter#(x,l) -> zero#(x) conviter#(x,l) -> if#(zero(x),x,l) if#(false(),x,l) -> lastbit#(x) if#(false(),x,l) -> half#(x) if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) TRS: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0() lastbit(s(0())) -> s(0()) lastbit(s(s(x))) -> lastbit(x) zero(0()) -> true() zero(s(x)) -> false() conv(x) -> conviter(x,cons(0(),nil())) conviter(x,l) -> if(zero(x),x,l) if(true(),x,l) -> l if(false(),x,l) -> conviter(half(x),cons(lastbit(x),l)) graph: if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) -> conviter#(x,l) -> if#(zero(x),x,l) if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) -> conviter#(x,l) -> zero#(x) if#(false(),x,l) -> lastbit#(x) -> lastbit#(s(s(x))) -> lastbit#(x) if#(false(),x,l) -> half#(x) -> half#(s(s(x))) -> half#(x) conviter#(x,l) -> if#(zero(x),x,l) -> if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) conviter#(x,l) -> if#(zero(x),x,l) -> if#(false(),x,l) -> half#(x) conviter#(x,l) -> if#(zero(x),x,l) -> if#(false(),x,l) -> lastbit#(x) conv#(x) -> conviter#(x,cons(0(),nil())) -> conviter#(x,l) -> if#(zero(x),x,l) conv#(x) -> conviter#(x,cons(0(),nil())) -> conviter#(x,l) -> zero#(x) lastbit#(s(s(x))) -> lastbit#(x) -> lastbit#(s(s(x))) -> lastbit#(x) half#(s(s(x))) -> half#(x) -> half#(s(s(x))) -> half#(x) SCC Processor: #sccs: 3 #rules: 4 #arcs: 11/64 DPs: if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) conviter#(x,l) -> if#(zero(x),x,l) TRS: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0()
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