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TRS Stand 20472 pair #381714120
details
property
value
status
complete
benchmark
thiemann16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n008.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
3.66979908943 seconds
cpu usage
13.047730377
max memory
8.1813504E8
stage attributes
key
value
output-size
21420
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: check(0()) -> zero() check(s(0())) -> odd() check(s(s(0()))) -> even() check(s(s(s(x)))) -> check(s(x)) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(x,y) -> timesIter(x,y,0()) timesIter(x,y,z) -> if(check(x),x,y,z,plus(z,y)) p(s(x)) -> x p(0()) -> 0() if(zero(),x,y,z,u) -> z if(odd(),x,y,z,u) -> timesIter(p(x),y,u) if(even(),x,y,z,u) -> plus(timesIter(half(x),y,half(z)),timesIter(half(x),y,half(s(z)))) Proof: DP Processor: DPs: check#(s(s(s(x)))) -> check#(s(x)) half#(s(s(x))) -> half#(x) plus#(s(x),y) -> plus#(x,y) times#(x,y) -> timesIter#(x,y,0()) timesIter#(x,y,z) -> plus#(z,y) timesIter#(x,y,z) -> check#(x) timesIter#(x,y,z) -> if#(check(x),x,y,z,plus(z,y)) if#(odd(),x,y,z,u) -> p#(x) if#(odd(),x,y,z,u) -> timesIter#(p(x),y,u) if#(even(),x,y,z,u) -> half#(s(z)) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(s(z))) if#(even(),x,y,z,u) -> half#(z) if#(even(),x,y,z,u) -> half#(x) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(z)) if#(even(),x,y,z,u) -> plus#(timesIter(half(x),y,half(z)),timesIter(half(x),y,half(s(z)))) TRS: check(0()) -> zero() check(s(0())) -> odd() check(s(s(0()))) -> even() check(s(s(s(x)))) -> check(s(x)) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(x,y) -> timesIter(x,y,0()) timesIter(x,y,z) -> if(check(x),x,y,z,plus(z,y)) p(s(x)) -> x p(0()) -> 0() if(zero(),x,y,z,u) -> z if(odd(),x,y,z,u) -> timesIter(p(x),y,u) if(even(),x,y,z,u) -> plus(timesIter(half(x),y,half(z)),timesIter(half(x),y,half(s(z)))) TDG Processor: DPs: check#(s(s(s(x)))) -> check#(s(x)) half#(s(s(x))) -> half#(x) plus#(s(x),y) -> plus#(x,y) times#(x,y) -> timesIter#(x,y,0()) timesIter#(x,y,z) -> plus#(z,y) timesIter#(x,y,z) -> check#(x) timesIter#(x,y,z) -> if#(check(x),x,y,z,plus(z,y)) if#(odd(),x,y,z,u) -> p#(x) if#(odd(),x,y,z,u) -> timesIter#(p(x),y,u) if#(even(),x,y,z,u) -> half#(s(z)) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(s(z))) if#(even(),x,y,z,u) -> half#(z) if#(even(),x,y,z,u) -> half#(x) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(z)) if#(even(),x,y,z,u) -> plus#(timesIter(half(x),y,half(z)),timesIter(half(x),y,half(s(z)))) TRS: check(0()) -> zero() check(s(0())) -> odd() check(s(s(0()))) -> even() check(s(s(s(x)))) -> check(s(x)) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(x,y) -> timesIter(x,y,0()) timesIter(x,y,z) -> if(check(x),x,y,z,plus(z,y)) p(s(x)) -> x p(0()) -> 0() if(zero(),x,y,z,u) -> z if(odd(),x,y,z,u) -> timesIter(p(x),y,u) if(even(),x,y,z,u) -> plus(timesIter(half(x),y,half(z)),timesIter(half(x),y,half(s(z)))) graph: if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(s(z))) -> timesIter#(x,y,z) -> if#(check(x),x,y,z,plus(z,y)) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(s(z))) -> timesIter#(x,y,z) -> check#(x)
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