/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO Input TRS: 1: app(app(iterate(),f),x) -> app(app(cons(),x),app(app(iterate(),f),app(f,x))) Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_iterate(f,x) -> app^2_cons(x,app^2_iterate(f,app(f,x))) 2: app(cons(),_1) ->= app^1_cons(_1) 3: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 4: app(iterate(),_1) ->= app^1_iterate(_1) 5: app(app^1_iterate(_1),_2) ->= app^2_iterate(_1,_2) Number of strict rules: 1 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app(app^1_iterate(_1),_2) ->? #app^2_iterate(_1,_2) #2: #app^2_iterate(f,x) -> #app^2_iterate(f,app(f,x)) #3: #app^2_iterate(f,x) -> #app(f,x) Number of SCCs: 1, DPs: 3 SCC { #1..3 } POLO(Sum)... succeeded. app^1_cons w: x1 + 1 app^2_iterate w: x1 + x2 #app w: x1 #app^2_iterate w: x1 + 1 cons w: 1 app^1_iterate w: x1 + 3 app^2_cons w: x1 + x2 iterate w: 2 app w: x1 + x2 + 1 USABLE RULES: { } Removed DPs: #1 #3 Number of SCCs: 1, DPs: 1 SCC { #2 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... found. #app^2_iterate(f_{1},x) -#2-> #app^2_iterate(f_{1},app(f_{1},x)) --->* #app^2_iterate(f_{1},app(f_{1},x)) Looping with: [ f_{1} := f_{1}; x := app(f_{1},x); ]