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TRS Standard pair #487068682
details
property
value
status
complete
benchmark
jw12.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)
0.49645 seconds
cpu usage
0.938814
user time
0.684674
system time
0.25414
max virtual memory
96176.0
max residence set size
61516.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(a(),f(x,a())) -> f(a(),f(f(a(),a()),f(a(),x))) Proof: DP Processor: DPs: f#(a(),f(x,a())) -> f#(a(),x) f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(f(a(),a()),f(a(),x)) f#(a(),f(x,a())) -> f#(a(),f(f(a(),a()),f(a(),x))) TRS: f(a(),f(x,a())) -> f(a(),f(f(a(),a()),f(a(),x))) EDG Processor: DPs: f#(a(),f(x,a())) -> f#(a(),x) f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(f(a(),a()),f(a(),x)) f#(a(),f(x,a())) -> f#(a(),f(f(a(),a()),f(a(),x))) TRS: f(a(),f(x,a())) -> f(a(),f(f(a(),a()),f(a(),x))) graph: f#(a(),f(x,a())) -> f#(a(),x) -> f#(a(),f(x,a())) -> f#(a(),x) f#(a(),f(x,a())) -> f#(a(),x) -> f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(a(),x) -> f#(a(),f(x,a())) -> f#(f(a(),a()),f(a(),x)) f#(a(),f(x,a())) -> f#(a(),x) -> f#(a(),f(x,a())) -> f#(a(),f(f(a(),a()),f(a(),x))) SCC Processor: #sccs: 1 #rules: 1 #arcs: 4/16 DPs: f#(a(),f(x,a())) -> f#(a(),x) TRS: f(a(),f(x,a())) -> f(a(),f(f(a(),a()),f(a(),x))) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {1} transitions: a0() -> 3* f30() -> 2* f{#,0}(3,2) -> 1* problem: DPs: TRS: f(a(),f(x,a())) -> f(a(),f(f(a(),a()),f(a(),x))) Qed
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