/export/starexec/sandbox/solver/bin/starexec_run_tct_dci_cert /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE EmptyProcessor - Strict TRS: f() -> g() f() -> h() half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) if(false(),b,x,y) -> logZeroError() if(true(),false(),x,s(y)) -> y if(true(),true(),x,y) -> logIter(x,y) inc(0()) -> s(0()) inc(s(x)) -> s(inc(x)) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) logIter(x,y) -> if(le(s(0()),x),le(s(s(0())),x),half(x),inc(y)) logarithm(x) -> logIter(x,0()) - Signature: {f/0,half/1,if/4,inc/1,le/2,logIter/2,logarithm/1} / {0/0,false/0,g/0,h/0,logZeroError/0,s/1,true/0} - Obligation: innermost derivational complexity wrt. signature {0,f,false,g,h,half,if,inc,le,logIter,logZeroError ,logarithm,s,true} The problem is still open.