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TRS Standard pair #487068427
details
property
value
status
complete
benchmark
jw19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.698132 seconds
cpu usage
1.51886
user time
1.00565
system time
0.513204
max virtual memory
3303344.0
max residence set size
69312.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) Proof: DP Processor: DPs: f#(x,f(a(),a())) -> f#(a(),x) f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) TRS: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) EDG Processor: DPs: f#(x,f(a(),a())) -> f#(a(),x) f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) TRS: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) graph: f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) -> f#(x,f(a(),a())) -> f#(a(),x) f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) -> f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) -> f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) f#(x,f(a(),a())) -> f#(a(),x) -> f#(x,f(a(),a())) -> f#(a(),x) f#(x,f(a(),a())) -> f#(a(),x) -> f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(a(),x) -> f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) SCC Processor: #sccs: 1 #rules: 2 #arcs: 6/9 DPs: f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) f#(x,f(a(),a())) -> f#(a(),x) TRS: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) Bounds Processor: bound: 1 enrichment: match-dp automaton: final states: {7} transitions: f0(9,9) -> 10,8 f0(10,9) -> 9* f{#,1}(11,9) -> 7* a0() -> 9* f{#,0}(9,8) -> 7* f30() -> 8* a1() -> 11* problem: DPs: f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) TRS: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {1} transitions: f0(6,5) -> 4* f0(6,4) -> 4* f0(3,6) -> 4* f0(5,3) -> 6* f0(3,2) -> 4* f0(3,3) -> 5* a0() -> 3* f{#,0}(6,4) -> 1* f100() -> 2* problem: DPs: TRS: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) Qed
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