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TRS Standard pair #516965644
details
property
value
status
complete
benchmark
jw17.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n114.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.676414966583 seconds
cpu usage
1.286872916
max memory
3.21593344E8
stage attributes
key
value
output-size
1844
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: f(a(),f(x,a())) -> f(a(),f(f(f(a(),a()),a()),x)) Proof: DP Processor: DPs: f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(f(a(),a()),a()) f#(a(),f(x,a())) -> f#(f(f(a(),a()),a()),x) f#(a(),f(x,a())) -> f#(a(),f(f(f(a(),a()),a()),x)) TRS: f(a(),f(x,a())) -> f(a(),f(f(f(a(),a()),a()),x)) EDG Processor: DPs: f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(f(a(),a()),a()) f#(a(),f(x,a())) -> f#(f(f(a(),a()),a()),x) f#(a(),f(x,a())) -> f#(a(),f(f(f(a(),a()),a()),x)) TRS: f(a(),f(x,a())) -> f(a(),f(f(f(a(),a()),a()),x)) graph: f#(a(),f(x,a())) -> f#(a(),f(f(f(a(),a()),a()),x)) -> f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(a(),f(f(f(a(),a()),a()),x)) -> f#(a(),f(x,a())) -> f#(f(a(),a()),a()) f#(a(),f(x,a())) -> f#(a(),f(f(f(a(),a()),a()),x)) -> f#(a(),f(x,a())) -> f#(f(f(a(),a()),a()),x) f#(a(),f(x,a())) -> f#(a(),f(f(f(a(),a()),a()),x)) -> f#(a(),f(x,a())) -> f#(a(),f(f(f(a(),a()),a()),x)) SCC Processor: #sccs: 1 #rules: 1 #arcs: 4/16 DPs: f#(a(),f(x,a())) -> f#(a(),f(f(f(a(),a()),a()),x)) TRS: f(a(),f(x,a())) -> f(a(),f(f(f(a(),a()),a()),x)) Bounds Processor: bound: 0 enrichment: match automaton: final states: {7,1} transitions: a0() -> 3* f0(3,6) -> 7* f0(4,3) -> 5* f0(3,3) -> 4* f0(5,2) -> 6* f0(5,5) -> 6* f30() -> 2* f{#,0}(3,6) -> 1* problem: DPs: TRS: f(a(),f(x,a())) -> f(a(),f(f(f(a(),a()),a()),x)) Qed
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