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TRS Stand 20472 pair #381709863
details
property
value
status
complete
benchmark
t003.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n095.star.cs.uiowa.edu
space
HirokawaMiddeldorp_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.11319088936 seconds
cpu usage
2.96483364
max memory
3.60534016E8
stage attributes
key
value
output-size
9787
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) <=(0(),y) -> true() <=(s(x),0()) -> false() <=(s(x),s(y)) -> <=(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,-(z,s(x)),u) f(s(x),s(y),z,u) -> if(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) Proof: DP Processor: DPs: -#(s(x),s(y)) -> -#(x,y) <=#(s(x),s(y)) -> <=#(x,y) perfectp#(s(x)) -> f#(x,s(0()),s(x),s(x)) f#(s(x),0(),z,u) -> -#(z,s(x)) f#(s(x),0(),z,u) -> f#(x,u,-(z,s(x)),u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) f#(s(x),s(y),z,u) -> -#(y,x) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) f#(s(x),s(y),z,u) -> <=#(x,y) f#(s(x),s(y),z,u) -> if#(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) <=(0(),y) -> true() <=(s(x),0()) -> false() <=(s(x),s(y)) -> <=(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,-(z,s(x)),u) f(s(x),s(y),z,u) -> if(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) TDG Processor: DPs: -#(s(x),s(y)) -> -#(x,y) <=#(s(x),s(y)) -> <=#(x,y) perfectp#(s(x)) -> f#(x,s(0()),s(x),s(x)) f#(s(x),0(),z,u) -> -#(z,s(x)) f#(s(x),0(),z,u) -> f#(x,u,-(z,s(x)),u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) f#(s(x),s(y),z,u) -> -#(y,x) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) f#(s(x),s(y),z,u) -> <=#(x,y) f#(s(x),s(y),z,u) -> if#(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) <=(0(),y) -> true() <=(s(x),0()) -> false() <=(s(x),s(y)) -> <=(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,-(z,s(x)),u) f(s(x),s(y),z,u) -> if(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) graph: f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),s(y),z,u) -> if#(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),s(y),z,u) -> <=#(x,y) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),s(y),z,u) -> -#(y,x) f#(s(x),s(y),z,u) -> f#(s(x),-(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),-(y,x),z,u) -> f#(s(x),0(),z,u) -> f#(x,u,-(z,s(x)),u) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),0(),z,u) -> -#(z,s(x)) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> if#(<=(x,y),f(s(x),-(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) -> <=#(x,y) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> -#(y,x) f#(s(x),s(y),z,u) -> f#(x,u,z,u) ->
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