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TRS Standard pair #487072757
details
property
value
status
complete
benchmark
gen-10.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
Secret_06_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.928857 seconds
cpu usage
2.50867
user time
1.88533
system time
0.623341
max virtual memory
2132168.0
max residence set size
69164.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(b(a(),z)) -> z b(y,b(a(),z)) -> b(f(c(y,y,a())),b(f(z),a())) f(f(f(c(z,x,a())))) -> b(f(x),z) Proof: DP Processor: DPs: b#(y,b(a(),z)) -> f#(z) b#(y,b(a(),z)) -> b#(f(z),a()) b#(y,b(a(),z)) -> f#(c(y,y,a())) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) f#(f(f(c(z,x,a())))) -> f#(x) f#(f(f(c(z,x,a())))) -> b#(f(x),z) TRS: f(b(a(),z)) -> z b(y,b(a(),z)) -> b(f(c(y,y,a())),b(f(z),a())) f(f(f(c(z,x,a())))) -> b(f(x),z) TDG Processor: DPs: b#(y,b(a(),z)) -> f#(z) b#(y,b(a(),z)) -> b#(f(z),a()) b#(y,b(a(),z)) -> f#(c(y,y,a())) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) f#(f(f(c(z,x,a())))) -> f#(x) f#(f(f(c(z,x,a())))) -> b#(f(x),z) TRS: f(b(a(),z)) -> z b(y,b(a(),z)) -> b(f(c(y,y,a())),b(f(z),a())) f(f(f(c(z,x,a())))) -> b(f(x),z) graph: b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> f#(c(y,y,a())) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> b#(f(z),a()) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> f#(z) b#(y,b(a(),z)) -> b#(f(z),a()) -> b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) b#(y,b(a(),z)) -> b#(f(z),a()) -> b#(y,b(a(),z)) -> f#(c(y,y,a())) b#(y,b(a(),z)) -> b#(f(z),a()) -> b#(y,b(a(),z)) -> b#(f(z),a()) b#(y,b(a(),z)) -> b#(f(z),a()) -> b#(y,b(a(),z)) -> f#(z) b#(y,b(a(),z)) -> f#(c(y,y,a())) -> f#(f(f(c(z,x,a())))) -> b#(f(x),z) b#(y,b(a(),z)) -> f#(c(y,y,a())) -> f#(f(f(c(z,x,a())))) -> f#(x) b#(y,b(a(),z)) -> f#(z) -> f#(f(f(c(z,x,a())))) -> b#(f(x),z) b#(y,b(a(),z)) -> f#(z) -> f#(f(f(c(z,x,a())))) -> f#(x) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> f#(c(y,y,a())) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> b#(f(z),a()) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> f#(z) f#(f(f(c(z,x,a())))) -> f#(x) -> f#(f(f(c(z,x,a())))) -> b#(f(x),z) f#(f(f(c(z,x,a())))) -> f#(x) -> f#(f(f(c(z,x,a())))) -> f#(x) EDG Processor: DPs: b#(y,b(a(),z)) -> f#(z) b#(y,b(a(),z)) -> b#(f(z),a()) b#(y,b(a(),z)) -> f#(c(y,y,a())) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) f#(f(f(c(z,x,a())))) -> f#(x) f#(f(f(c(z,x,a())))) -> b#(f(x),z) TRS: f(b(a(),z)) -> z b(y,b(a(),z)) -> b(f(c(y,y,a())),b(f(z),a())) f(f(f(c(z,x,a())))) -> b(f(x),z) graph: b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> f#(z) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> b#(f(z),a()) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> f#(c(y,y,a())) b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) -> b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) b#(y,b(a(),z)) -> f#(z) -> f#(f(f(c(z,x,a())))) -> f#(x) b#(y,b(a(),z)) -> f#(z) -> f#(f(f(c(z,x,a())))) -> b#(f(x),z) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> f#(z) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> b#(f(z),a()) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> f#(c(y,y,a())) f#(f(f(c(z,x,a())))) -> b#(f(x),z) -> b#(y,b(a(),z)) -> b#(f(c(y,y,a())),b(f(z),a())) f#(f(f(c(z,x,a())))) -> f#(x) -> f#(f(f(c(z,x,a())))) -> f#(x) f#(f(f(c(z,x,a())))) -> f#(x) -> f#(f(f(c(z,x,a())))) -> b#(f(x),z) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36
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