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TRS Standard pair #487068542
details
property
value
status
complete
benchmark
jw16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.508619 seconds
cpu usage
0.980336
user time
0.659307
system time
0.321029
max virtual memory
96176.0
max residence set size
66260.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(a(),f(x,a())) -> f(x,f(f(f(a(),a()),a()),a())) 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()),a()) f#(a(),f(x,a())) -> f#(x,f(f(f(a(),a()),a()),a())) TRS: f(a(),f(x,a())) -> f(x,f(f(f(a(),a()),a()),a())) 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()),a()) f#(a(),f(x,a())) -> f#(x,f(f(f(a(),a()),a()),a())) TRS: f(a(),f(x,a())) -> f(x,f(f(f(a(),a()),a()),a())) graph: f#(a(),f(x,a())) -> f#(x,f(f(f(a(),a()),a()),a())) -> f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(x,f(f(f(a(),a()),a()),a())) -> f#(a(),f(x,a())) -> f#(f(a(),a()),a()) f#(a(),f(x,a())) -> f#(x,f(f(f(a(),a()),a()),a())) -> f#(a(),f(x,a())) -> f#(f(f(a(),a()),a()),a()) f#(a(),f(x,a())) -> f#(x,f(f(f(a(),a()),a()),a())) -> f#(a(),f(x,a())) -> f#(x,f(f(f(a(),a()),a()),a())) SCC Processor: #sccs: 1 #rules: 1 #arcs: 4/16 DPs: f#(a(),f(x,a())) -> f#(x,f(f(f(a(),a()),a()),a())) TRS: f(a(),f(x,a())) -> f(x,f(f(f(a(),a()),a()),a())) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {1} transitions: f0(4,2) -> 5* f0(3,2) -> 4* f0(2,2) -> 3* a0() -> 2* f{#,0}(4,5) -> 1* f{#,0}(6,5) -> 1* f30() -> 6* problem: DPs: TRS: f(a(),f(x,a())) -> f(x,f(f(f(a(),a()),a()),a())) Qed
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