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TRS Stand 20472 pair #381712922
details
property
value
status
complete
benchmark
22.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n042.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.534165143967 seconds
cpu usage
0.931312412
max memory
1.32841472E8
stage attributes
key
value
output-size
1762
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: f(x,0()) -> s(0()) f(s(x),s(y)) -> s(f(x,y)) g(0(),x) -> g(f(x,x),x) Proof: DP Processor: DPs: f#(s(x),s(y)) -> f#(x,y) g#(0(),x) -> f#(x,x) g#(0(),x) -> g#(f(x,x),x) TRS: f(x,0()) -> s(0()) f(s(x),s(y)) -> s(f(x,y)) g(0(),x) -> g(f(x,x),x) TDG Processor: DPs: f#(s(x),s(y)) -> f#(x,y) g#(0(),x) -> f#(x,x) g#(0(),x) -> g#(f(x,x),x) TRS: f(x,0()) -> s(0()) f(s(x),s(y)) -> s(f(x,y)) g(0(),x) -> g(f(x,x),x) graph: g#(0(),x) -> g#(f(x,x),x) -> g#(0(),x) -> g#(f(x,x),x) g#(0(),x) -> g#(f(x,x),x) -> g#(0(),x) -> f#(x,x) g#(0(),x) -> f#(x,x) -> f#(s(x),s(y)) -> f#(x,y) f#(s(x),s(y)) -> f#(x,y) -> f#(s(x),s(y)) -> f#(x,y) SCC Processor: #sccs: 2 #rules: 2 #arcs: 4/9 DPs: g#(0(),x) -> g#(f(x,x),x) TRS: f(x,0()) -> s(0()) f(s(x),s(y)) -> s(f(x,y)) g(0(),x) -> g(f(x,x),x) EDG Processor: DPs: g#(0(),x) -> g#(f(x,x),x) TRS: f(x,0()) -> s(0()) f(s(x),s(y)) -> s(f(x,y)) g(0(),x) -> g(f(x,x),x) graph: SCC Processor: #sccs: 0 #rules: 0 #arcs: 0/1 DPs: f#(s(x),s(y)) -> f#(x,y) TRS: f(x,0()) -> s(0()) f(s(x),s(y)) -> s(f(x,y)) g(0(),x) -> g(f(x,x),x) Subterm Criterion Processor: simple projection: pi(f#) = 0 problem: DPs: TRS: f(x,0()) -> s(0()) f(s(x),s(y)) -> s(f(x,y)) g(0(),x) -> g(f(x,x),x) Qed
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