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TRS Standard pair #516966914
details
property
value
status
complete
benchmark
2.25.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.521270990372 seconds
cpu usage
0.753125255
max memory
1.72040192E8
stage attributes
key
value
output-size
2473
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: fib(0()) -> 0() fib(s(0())) -> s(0()) fib(s(s(x))) -> +(fib(s(x)),fib(x)) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) Proof: DP Processor: DPs: fib#(s(s(x))) -> fib#(x) fib#(s(s(x))) -> fib#(s(x)) fib#(s(s(x))) -> +#(fib(s(x)),fib(x)) +#(x,s(y)) -> +#(x,y) TRS: fib(0()) -> 0() fib(s(0())) -> s(0()) fib(s(s(x))) -> +(fib(s(x)),fib(x)) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) TDG Processor: DPs: fib#(s(s(x))) -> fib#(x) fib#(s(s(x))) -> fib#(s(x)) fib#(s(s(x))) -> +#(fib(s(x)),fib(x)) +#(x,s(y)) -> +#(x,y) TRS: fib(0()) -> 0() fib(s(0())) -> s(0()) fib(s(s(x))) -> +(fib(s(x)),fib(x)) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) graph: +#(x,s(y)) -> +#(x,y) -> +#(x,s(y)) -> +#(x,y) fib#(s(s(x))) -> +#(fib(s(x)),fib(x)) -> +#(x,s(y)) -> +#(x,y) fib#(s(s(x))) -> fib#(s(x)) -> fib#(s(s(x))) -> +#(fib(s(x)),fib(x)) fib#(s(s(x))) -> fib#(s(x)) -> fib#(s(s(x))) -> fib#(s(x)) fib#(s(s(x))) -> fib#(s(x)) -> fib#(s(s(x))) -> fib#(x) fib#(s(s(x))) -> fib#(x) -> fib#(s(s(x))) -> +#(fib(s(x)),fib(x)) fib#(s(s(x))) -> fib#(x) -> fib#(s(s(x))) -> fib#(s(x)) fib#(s(s(x))) -> fib#(x) -> fib#(s(s(x))) -> fib#(x) SCC Processor: #sccs: 2 #rules: 3 #arcs: 8/16 DPs: fib#(s(s(x))) -> fib#(s(x)) fib#(s(s(x))) -> fib#(x) TRS: fib(0()) -> 0() fib(s(0())) -> s(0()) fib(s(s(x))) -> +(fib(s(x)),fib(x)) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) Subterm Criterion Processor: simple projection: pi(fib#) = 0 problem: DPs: TRS: fib(0()) -> 0() fib(s(0())) -> s(0()) fib(s(s(x))) -> +(fib(s(x)),fib(x)) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) Qed DPs: +#(x,s(y)) -> +#(x,y) TRS: fib(0()) -> 0() fib(s(0())) -> s(0()) fib(s(s(x))) -> +(fib(s(x)),fib(x)) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) Subterm Criterion Processor: simple projection: pi(+#) = 1 problem: DPs: TRS: fib(0()) -> 0() fib(s(0())) -> s(0()) fib(s(s(x))) -> +(fib(s(x)),fib(x)) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) Qed
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