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TRS Standard pair #516967104
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
n143.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.760349035263 seconds
cpu usage
1.683027731
max memory
3.53148928E8
stage attributes
key
value
output-size
5106
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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)
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