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TRS Standard pair #487067562
details
property
value
status
complete
benchmark
#3.48.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.742201 seconds
cpu usage
1.7495
user time
1.32737
system time
0.422131
max virtual memory
96176.0
max residence set size
68788.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(0()) -> true() f(1()) -> false() f(s(x)) -> f(x) if(true(),s(x),s(y)) -> s(x) if(false(),s(x),s(y)) -> s(y) g(x,c(y)) -> c(g(x,y)) g(x,c(y)) -> g(x,if(f(x),c(g(s(x),y)),c(y))) Proof: DP Processor: DPs: f#(s(x)) -> f#(x) g#(x,c(y)) -> g#(x,y) g#(x,c(y)) -> g#(s(x),y) g#(x,c(y)) -> f#(x) g#(x,c(y)) -> if#(f(x),c(g(s(x),y)),c(y)) g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) TRS: f(0()) -> true() f(1()) -> false() f(s(x)) -> f(x) if(true(),s(x),s(y)) -> s(x) if(false(),s(x),s(y)) -> s(y) g(x,c(y)) -> c(g(x,y)) g(x,c(y)) -> g(x,if(f(x),c(g(s(x),y)),c(y))) TDG Processor: DPs: f#(s(x)) -> f#(x) g#(x,c(y)) -> g#(x,y) g#(x,c(y)) -> g#(s(x),y) g#(x,c(y)) -> f#(x) g#(x,c(y)) -> if#(f(x),c(g(s(x),y)),c(y)) g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) TRS: f(0()) -> true() f(1()) -> false() f(s(x)) -> f(x) if(true(),s(x),s(y)) -> s(x) if(false(),s(x),s(y)) -> s(y) g(x,c(y)) -> c(g(x,y)) g(x,c(y)) -> g(x,if(f(x),c(g(s(x),y)),c(y))) graph: g#(x,c(y)) -> g#(s(x),y) -> g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) g#(x,c(y)) -> g#(s(x),y) -> g#(x,c(y)) -> if#(f(x),c(g(s(x),y)),c(y)) g#(x,c(y)) -> g#(s(x),y) -> g#(x,c(y)) -> f#(x) g#(x,c(y)) -> g#(s(x),y) -> g#(x,c(y)) -> g#(s(x),y) g#(x,c(y)) -> g#(s(x),y) -> g#(x,c(y)) -> g#(x,y) g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) -> g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) -> g#(x,c(y)) -> if#(f(x),c(g(s(x),y)),c(y)) g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) -> g#(x,c(y)) -> f#(x) g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) -> g#(x,c(y)) -> g#(s(x),y) g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) -> g#(x,c(y)) -> g#(x,y) g#(x,c(y)) -> g#(x,y) -> g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) g#(x,c(y)) -> g#(x,y) -> g#(x,c(y)) -> if#(f(x),c(g(s(x),y)),c(y)) g#(x,c(y)) -> g#(x,y) -> g#(x,c(y)) -> f#(x) g#(x,c(y)) -> g#(x,y) -> g#(x,c(y)) -> g#(s(x),y) g#(x,c(y)) -> g#(x,y) -> g#(x,c(y)) -> g#(x,y) g#(x,c(y)) -> f#(x) -> f#(s(x)) -> f#(x) f#(s(x)) -> f#(x) -> f#(s(x)) -> f#(x) SCC Processor: #sccs: 2 #rules: 4 #arcs: 17/36 DPs: g#(x,c(y)) -> g#(s(x),y) g#(x,c(y)) -> g#(x,y) g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) TRS: f(0()) -> true() f(1()) -> false() f(s(x)) -> f(x) if(true(),s(x),s(y)) -> s(x) if(false(),s(x),s(y)) -> s(y) g(x,c(y)) -> c(g(x,y)) g(x,c(y)) -> g(x,if(f(x),c(g(s(x),y)),c(y))) EDG Processor: DPs: g#(x,c(y)) -> g#(s(x),y) g#(x,c(y)) -> g#(x,y) g#(x,c(y)) -> g#(x,if(f(x),c(g(s(x),y)),c(y))) TRS: f(0()) -> true() f(1()) -> false() f(s(x)) -> f(x) if(true(),s(x),s(y)) -> s(x) if(false(),s(x),s(y)) -> s(y) g(x,c(y)) -> c(g(x,y)) g(x,c(y)) -> g(x,if(f(x),c(g(s(x),y)),c(y))) graph: g#(x,c(y)) -> g#(s(x),y) -> g#(x,c(y)) -> g#(x,y) g#(x,c(y)) -> g#(s(x),y) -> g#(x,c(y)) -> g#(s(x),y) g#(x,c(y)) -> g#(s(x),y) ->
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