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TRS Standard pair #487069017
details
property
value
status
complete
benchmark
4.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
Mixed_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.573784 seconds
cpu usage
1.2326
user time
0.873457
system time
0.359139
max virtual memory
96176.0
max residence set size
66796.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(x,f(a(),y)) -> f(f(y,f(f(a(),a()),a())),x) Proof: DP Processor: DPs: f#(x,f(a(),y)) -> f#(a(),a()) f#(x,f(a(),y)) -> f#(f(a(),a()),a()) f#(x,f(a(),y)) -> f#(y,f(f(a(),a()),a())) f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x) TRS: f(x,f(a(),y)) -> f(f(y,f(f(a(),a()),a())),x) EDG Processor: DPs: f#(x,f(a(),y)) -> f#(a(),a()) f#(x,f(a(),y)) -> f#(f(a(),a()),a()) f#(x,f(a(),y)) -> f#(y,f(f(a(),a()),a())) f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x) TRS: f(x,f(a(),y)) -> f(f(y,f(f(a(),a()),a())),x) graph: f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x) -> f#(x,f(a(),y)) -> f#(a(),a()) f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x) -> f#(x,f(a(),y)) -> f#(f(a(),a()),a()) f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x) -> f#(x,f(a(),y)) -> f#(y,f(f(a(),a()),a())) f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x) -> f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x) SCC Processor: #sccs: 1 #rules: 1 #arcs: 4/16 DPs: f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x) TRS: f(x,f(a(),y)) -> f(f(y,f(f(a(),a()),a())),x) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {1} transitions: f0(5,5) -> 6* f0(2,5) -> 6* f0(4,3) -> 5* f0(3,3) -> 4* f30() -> 2* f{#,0}(6,2) -> 1* f{#,0}(6,6) -> 1* a0() -> 3* problem: DPs: TRS: f(x,f(a(),y)) -> f(f(y,f(f(a(),a()),a())),x) Qed
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