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TRS Standard pair #487068627
details
property
value
status
complete
benchmark
jw36.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.57605 seconds
cpu usage
1.23606
user time
0.894497
system time
0.341564
max virtual memory
2328084.0
max residence set size
69004.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(f(x,a()),a()) -> f(f(f(a(),a()),f(x,a())),a()) Proof: DP Processor: DPs: f#(f(x,a()),a()) -> f#(a(),a()) f#(f(x,a()),a()) -> f#(f(a(),a()),f(x,a())) f#(f(x,a()),a()) -> f#(f(f(a(),a()),f(x,a())),a()) TRS: f(f(x,a()),a()) -> f(f(f(a(),a()),f(x,a())),a()) EDG Processor: DPs: f#(f(x,a()),a()) -> f#(a(),a()) f#(f(x,a()),a()) -> f#(f(a(),a()),f(x,a())) f#(f(x,a()),a()) -> f#(f(f(a(),a()),f(x,a())),a()) TRS: f(f(x,a()),a()) -> f(f(f(a(),a()),f(x,a())),a()) graph: f#(f(x,a()),a()) -> f#(f(f(a(),a()),f(x,a())),a()) -> f#(f(x,a()),a()) -> f#(a(),a()) f#(f(x,a()),a()) -> f#(f(f(a(),a()),f(x,a())),a()) -> f#(f(x,a()),a()) -> f#(f(a(),a()),f(x,a())) f#(f(x,a()),a()) -> f#(f(f(a(),a()),f(x,a())),a()) -> f#(f(x,a()),a()) -> f#(f(f(a(),a()),f(x,a())),a()) SCC Processor: #sccs: 1 #rules: 1 #arcs: 3/9 DPs: f#(f(x,a()),a()) -> f#(f(f(a(),a()),f(x,a())),a()) TRS: f(f(x,a()),a()) -> f(f(f(a(),a()),f(x,a())),a()) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {1} transitions: f0(6,2) -> 4* f0(5,4) -> 6* f0(3,2) -> 4* f0(2,2) -> 5* a0() -> 2* f30() -> 3* f{#,0}(6,2) -> 1* problem: DPs: TRS: f(f(x,a()),a()) -> f(f(f(a(),a()),f(x,a())),a()) Qed
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