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TRS Standard pair #516965584
details
property
value
status
complete
benchmark
z19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.33976602554 seconds
cpu usage
7.891714451
max memory
8.22452224E8
stage attributes
key
value
output-size
5860
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: f(f(a(),a()),x) -> f(a(),f(b(),f(a(),x))) f(x,f(y,z)) -> f(f(x,y),z) Proof: DP Processor: DPs: f#(f(a(),a()),x) -> f#(a(),x) f#(f(a(),a()),x) -> f#(b(),f(a(),x)) f#(f(a(),a()),x) -> f#(a(),f(b(),f(a(),x))) f#(x,f(y,z)) -> f#(x,y) f#(x,f(y,z)) -> f#(f(x,y),z) TRS: f(f(a(),a()),x) -> f(a(),f(b(),f(a(),x))) f(x,f(y,z)) -> f(f(x,y),z) EDG Processor: DPs: f#(f(a(),a()),x) -> f#(a(),x) f#(f(a(),a()),x) -> f#(b(),f(a(),x)) f#(f(a(),a()),x) -> f#(a(),f(b(),f(a(),x))) f#(x,f(y,z)) -> f#(x,y) f#(x,f(y,z)) -> f#(f(x,y),z) TRS: f(f(a(),a()),x) -> f(a(),f(b(),f(a(),x))) f(x,f(y,z)) -> f(f(x,y),z) graph: f#(f(a(),a()),x) -> f#(b(),f(a(),x)) -> f#(x,f(y,z)) -> f#(x,y) f#(f(a(),a()),x) -> f#(b(),f(a(),x)) -> f#(x,f(y,z)) -> f#(f(x,y),z) f#(f(a(),a()),x) -> f#(a(),f(b(),f(a(),x))) -> f#(x,f(y,z)) -> f#(x,y) f#(f(a(),a()),x) -> f#(a(),f(b(),f(a(),x))) -> f#(x,f(y,z)) -> f#(f(x,y),z) f#(f(a(),a()),x) -> f#(a(),x) -> f#(x,f(y,z)) -> f#(x,y) f#(f(a(),a()),x) -> f#(a(),x) -> f#(x,f(y,z)) -> f#(f(x,y),z) f#(x,f(y,z)) -> f#(f(x,y),z) -> f#(f(a(),a()),x) -> f#(a(),x) f#(x,f(y,z)) -> f#(f(x,y),z) -> f#(f(a(),a()),x) -> f#(b(),f(a(),x)) f#(x,f(y,z)) -> f#(f(x,y),z) -> f#(f(a(),a()),x) -> f#(a(),f(b(),f(a(),x))) f#(x,f(y,z)) -> f#(f(x,y),z) -> f#(x,f(y,z)) -> f#(x,y) f#(x,f(y,z)) -> f#(f(x,y),z) -> f#(x,f(y,z)) -> f#(f(x,y),z) f#(x,f(y,z)) -> f#(x,y) -> f#(f(a(),a()),x) -> f#(a(),x) f#(x,f(y,z)) -> f#(x,y) -> f#(f(a(),a()),x) -> f#(b(),f(a(),x)) f#(x,f(y,z)) -> f#(x,y) -> f#(f(a(),a()),x) -> f#(a(),f(b(),f(a(),x))) f#(x,f(y,z)) -> f#(x,y) -> f#(x,f(y,z)) -> f#(x,y) f#(x,f(y,z)) -> f#(x,y) -> f#(x,f(y,z)) -> f#(f(x,y),z) Semantic Labeling Processor: dimension: 1 usable rules: f(f(a(),a()),x) -> f(a(),f(b(),f(a(),x))) f(x,f(y,z)) -> f(f(x,y),z) interpretation: [f](x0, x1) = x0, [a] = 1, [b] = 0 labeled: a b usable (for model): a b argument filtering: pi(a) = [] pi(f) = 0 pi(b) = [] pi(f#) = 0 precedence: a > f# ~ b ~ f problem: DPs: f#(f(a(),a()),x) -> f#(a(),x) f#(f(a(),a()),x) -> f#(a(),f(b(),f(a(),x))) f#(x,f(y,z)) -> f#(x,y) f#(x,f(y,z)) -> f#(f(x,y),z) TRS: f(f(a(),a()),x) -> f(a(),f(b(),f(a(),x))) f(x,f(y,z)) -> f(f(x,y),z) Restore Modifier: DPs: f#(f(a(),a()),x) -> f#(a(),x) f#(f(a(),a()),x) -> f#(a(),f(b(),f(a(),x))) f#(x,f(y,z)) -> f#(x,y) f#(x,f(y,z)) -> f#(f(x,y),z) TRS: f(f(a(),a()),x) -> f(a(),f(b(),f(a(),x))) f(x,f(y,z)) -> f(f(x,y),z) Matrix Interpretation Processor: dim=1
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