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TRS Standard pair #487069012
details
property
value
status
complete
benchmark
3.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
Mixed_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.596104 seconds
cpu usage
1.31623
user time
0.887376
system time
0.428854
max virtual memory
962912.0
max residence set size
70064.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(x,f(f(f(a(),a()),a()),a())) -> f(f(x,a()),x) Proof: DP Processor: DPs: f#(x,f(f(f(a(),a()),a()),a())) -> f#(x,a()) f#(x,f(f(f(a(),a()),a()),a())) -> f#(f(x,a()),x) TRS: f(x,f(f(f(a(),a()),a()),a())) -> f(f(x,a()),x) EDG Processor: DPs: f#(x,f(f(f(a(),a()),a()),a())) -> f#(x,a()) f#(x,f(f(f(a(),a()),a()),a())) -> f#(f(x,a()),x) TRS: f(x,f(f(f(a(),a()),a()),a())) -> f(f(x,a()),x) graph: f#(x,f(f(f(a(),a()),a()),a())) -> f#(f(x,a()),x) -> f#(x,f(f(f(a(),a()),a()),a())) -> f#(x,a()) f#(x,f(f(f(a(),a()),a()),a())) -> f#(f(x,a()),x) -> f#(x,f(f(f(a(),a()),a()),a())) -> f#(f(x,a()),x) SCC Processor: #sccs: 1 #rules: 1 #arcs: 2/4 DPs: f#(x,f(f(f(a(),a()),a()),a())) -> f#(f(x,a()),x) TRS: f(x,f(f(f(a(),a()),a()),a())) -> f(f(x,a()),x) Bounds Processor: bound: 5 enrichment: roof automaton: final states: {5} transitions: f{#,5}(24,20) -> 5* f1(9,4) -> 4* f1(4,8) -> 9* f{#,3}(16,12) -> 5* a4() -> 19* f{#,1}(9,4) -> 5* a1() -> 8* f{#,0}(4,4) -> 5* a3() -> 15* f3(12,15) -> 16* f3(16,12) -> 4* a0() -> 4* f0(4,4) -> 4* f2(12,9) -> 4* f2(9,11) -> 12* f{#,2}(12,9) -> 5* a2() -> 11* f{#,4}(20,16) -> 5* f5(24,20) -> 4* f5(20,23) -> 24* a5() -> 23* f4(16,19) -> 20* f4(20,16) -> 4* problem: DPs: TRS: f(x,f(f(f(a(),a()),a()),a())) -> f(f(x,a()),x) Qed
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