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TRS Standard pair #487069112
details
property
value
status
complete
benchmark
perfect2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.80409 seconds
cpu usage
2.03852
user time
1.59718
system time
0.441341
max virtual memory
1659248.0
max residence set size
71160.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: minus(0(),y) -> 0() minus(s(x),0()) -> s(x) minus(s(x),s(y)) -> minus(x,y) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) if(true(),x,y) -> x if(false(),x,y) -> y perfectp(0()) -> false() perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) f(0(),y,0(),u) -> true() f(0(),y,s(z),u) -> false() f(s(x),0(),z,u) -> f(x,u,minus(z,s(x)),u) f(s(x),s(y),z,u) -> if(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) Proof: DP Processor: DPs: minus#(s(x),s(y)) -> minus#(x,y) le#(s(x),s(y)) -> le#(x,y) perfectp#(s(x)) -> f#(x,s(0()),s(x),s(x)) f#(s(x),0(),z,u) -> minus#(z,s(x)) f#(s(x),0(),z,u) -> f#(x,u,minus(z,s(x)),u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) f#(s(x),s(y),z,u) -> minus#(y,x) f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) f#(s(x),s(y),z,u) -> le#(x,y) f#(s(x),s(y),z,u) -> if#(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) TRS: minus(0(),y) -> 0() minus(s(x),0()) -> s(x) minus(s(x),s(y)) -> minus(x,y) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) if(true(),x,y) -> x if(false(),x,y) -> y perfectp(0()) -> false() perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) f(0(),y,0(),u) -> true() f(0(),y,s(z),u) -> false() f(s(x),0(),z,u) -> f(x,u,minus(z,s(x)),u) f(s(x),s(y),z,u) -> if(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) TDG Processor: DPs: minus#(s(x),s(y)) -> minus#(x,y) le#(s(x),s(y)) -> le#(x,y) perfectp#(s(x)) -> f#(x,s(0()),s(x),s(x)) f#(s(x),0(),z,u) -> minus#(z,s(x)) f#(s(x),0(),z,u) -> f#(x,u,minus(z,s(x)),u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) f#(s(x),s(y),z,u) -> minus#(y,x) f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) f#(s(x),s(y),z,u) -> le#(x,y) f#(s(x),s(y),z,u) -> if#(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) TRS: minus(0(),y) -> 0() minus(s(x),0()) -> s(x) minus(s(x),s(y)) -> minus(x,y) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) if(true(),x,y) -> x if(false(),x,y) -> y perfectp(0()) -> false() perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) f(0(),y,0(),u) -> true() f(0(),y,s(z),u) -> false() f(s(x),0(),z,u) -> f(x,u,minus(z,s(x)),u) f(s(x),s(y),z,u) -> if(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) graph: f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) -> f#(s(x),s(y),z,u) -> if#(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) -> f#(s(x),s(y),z,u) -> le#(x,y) f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) -> f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) -> f#(s(x),s(y),z,u) -> minus#(y,x) f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) -> f#(s(x),s(y),z,u) -> f#(x,u,z,u) f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) -> f#(s(x),0(),z,u) -> f#(x,u,minus(z,s(x)),u) f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) -> f#(s(x),0(),z,u) -> minus#(z,s(x)) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> if#(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> le#(x,y) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> f#(s(x),minus(y,x),z,u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> minus#(y,x) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> f#(x,u,z,u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),0(),z,u) -> f#(x,u,minus(z,s(x)),u)
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