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TRS Standard pair #487068782
details
property
value
status
complete
benchmark
jw21.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n182.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.558895 seconds
cpu usage
1.15667
user time
0.744544
system time
0.412129
max virtual memory
96176.0
max residence set size
66516.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(a(),f(x,a())) -> f(f(x,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#(x,f(f(a(),a()),a())) f#(a(),f(x,a())) -> f#(f(x,f(f(a(),a()),a())),a()) TRS: f(a(),f(x,a())) -> f(f(x,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#(x,f(f(a(),a()),a())) f#(a(),f(x,a())) -> f#(f(x,f(f(a(),a()),a())),a()) TRS: f(a(),f(x,a())) -> f(f(x,f(f(a(),a()),a())),a()) graph: f#(a(),f(x,a())) -> f#(x,f(f(a(),a()),a())) -> f#(a(),f(x,a())) -> f#(a(),a()) f#(a(),f(x,a())) -> f#(x,f(f(a(),a()),a())) -> f#(a(),f(x,a())) -> f#(f(a(),a()),a()) f#(a(),f(x,a())) -> f#(x,f(f(a(),a()),a())) -> f#(a(),f(x,a())) -> f#(x,f(f(a(),a()),a())) f#(a(),f(x,a())) -> f#(x,f(f(a(),a()),a())) -> f#(a(),f(x,a())) -> f#(f(x,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(a(),a()),a())) TRS: f(a(),f(x,a())) -> f(f(x,f(f(a(),a()),a())),a()) Bounds Processor: bound: 0 enrichment: match automaton: final states: {6,1} transitions: f0(5,4) -> 7* f0(3,2) -> 4* f0(2,2) -> 3* f0(7,2) -> 6* f0(8,2) -> 7* f0(3,4) -> 8* a0() -> 2* f{#,0}(3,4) -> 1* f{#,0}(5,4) -> 1* f30() -> 5* problem: DPs: TRS: f(a(),f(x,a())) -> f(f(x,f(f(a(),a()),a())),a()) Qed
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