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TRS Standard pair #487068517
details
property
value
status
complete
benchmark
jw24.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.496664 seconds
cpu usage
0.931668
user time
0.651694
system time
0.279974
max virtual memory
96176.0
max residence set size
63892.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(x,f(a(),a())) -> f(f(f(f(a(),a()),a()),a()),x) Proof: DP Processor: DPs: f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),a()) f#(x,f(a(),a())) -> f#(f(f(f(a(),a()),a()),a()),x) TRS: f(x,f(a(),a())) -> f(f(f(f(a(),a()),a()),a()),x) EDG Processor: DPs: f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),a()) f#(x,f(a(),a())) -> f#(f(f(f(a(),a()),a()),a()),x) TRS: f(x,f(a(),a())) -> f(f(f(f(a(),a()),a()),a()),x) graph: f#(x,f(a(),a())) -> f#(f(f(f(a(),a()),a()),a()),x) -> f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(f(f(f(a(),a()),a()),a()),x) -> f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),a()) f#(x,f(a(),a())) -> f#(f(f(f(a(),a()),a()),a()),x) -> f#(x,f(a(),a())) -> f#(f(f(f(a(),a()),a()),a()),x) SCC Processor: #sccs: 1 #rules: 1 #arcs: 3/9 DPs: f#(x,f(a(),a())) -> f#(f(f(f(a(),a()),a()),a()),x) TRS: f(x,f(a(),a())) -> f(f(f(f(a(),a()),a()),a()),x) Bounds Processor: bound: 0 enrichment: match automaton: final states: {7,1} transitions: f0(6,6) -> 7* f0(6,2) -> 7* f0(5,3) -> 6* f0(4,3) -> 5* f0(3,3) -> 4* a0() -> 3* f{#,0}(6,2) -> 1* f{#,0}(6,6) -> 1* f30() -> 2* problem: DPs: TRS: f(x,f(a(),a())) -> f(f(f(f(a(),a()),a()),a()),x) Qed
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