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TRS Standard pair #487068727
details
property
value
status
complete
benchmark
jw02.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.520156 seconds
cpu usage
0.936825
user time
0.649722
system time
0.287103
max virtual memory
96176.0
max residence set size
64408.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(a(),f(x,a())) -> f(a(),f(f(a(),a()),x)) Proof: DP Processor: DPs: f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(f(a(),a()),x) f#(a(),f(x,a())) -> f#(a(),f(f(a(),a()),x)) TRS: f(a(),f(x,a())) -> f(a(),f(f(a(),a()),x)) EDG Processor: DPs: f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(f(a(),a()),x) f#(a(),f(x,a())) -> f#(a(),f(f(a(),a()),x)) TRS: f(a(),f(x,a())) -> f(a(),f(f(a(),a()),x)) graph: f#(a(),f(x,a())) -> f#(a(),f(f(a(),a()),x)) -> f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(a(),f(f(a(),a()),x)) -> f#(a(),f(x,a())) -> f#(f(a(),a()),x) f#(a(),f(x,a())) -> f#(a(),f(f(a(),a()),x)) -> f#(a(),f(x,a())) -> f#(a(),f(f(a(),a()),x)) SCC Processor: #sccs: 1 #rules: 1 #arcs: 3/9 DPs: f#(a(),f(x,a())) -> f#(a(),f(f(a(),a()),x)) TRS: f(a(),f(x,a())) -> f(a(),f(f(a(),a()),x)) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {1} transitions: a0() -> 3* f0(4,4) -> 5* f0(3,3) -> 4* f0(4,2) -> 5* f{#,0}(3,5) -> 1* f30() -> 2* problem: DPs: TRS: f(a(),f(x,a())) -> f(a(),f(f(a(),a()),x)) Qed
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