/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: f(true(),s(x)) -> f(eq(0(),minus(x,x)),double(s(x))) 2: double(x) -> doubleAkk(x,0()) 3: doubleAkk(0(),y) -> y 4: doubleAkk(s(x),y) -> doubleAkk(x,s(s(y))) 5: minus(x,0()) -> x 6: minus(0(),y) -> 0() 7: minus(s(x),s(y)) -> minus(x,y) 8: eq(0(),0()) -> true() 9: eq(s(x),0()) -> false() 10: eq(0(),s(y)) -> false() 11: eq(s(x),s(y)) -> eq(x,y) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying eq 1: f(true(),s(x)) -> f(eq^1_0(minus(x,x)),double(s(x))) 2: double(x) -> doubleAkk(x,0()) 3: doubleAkk(0(),y) -> y 4: doubleAkk(s(x),y) -> doubleAkk(x,s(s(y))) 5: minus(x,0()) -> x 6: minus(0(),y) -> 0() 7: minus(s(x),s(y)) -> minus(x,y) 8: eq^1_0(0()) -> true() 9: eq^1_s(x,0()) -> false() 10: eq^1_0(s(y)) -> false() 11: eq^1_s(x,s(y)) -> eq(x,y) 12: eq(0(),_1) ->= eq^1_0(_1) 13: eq(s(_1),_2) ->= eq^1_s(_1,_2) Number of strict rules: 11 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #double(x) -> #doubleAkk(x,0()) #2: #eq(s(_1),_2) ->? #eq^1_s(_1,_2) #3: #eq^1_s(x,s(y)) -> #eq(x,y) #4: #eq(0(),_1) ->? #eq^1_0(_1) #5: #minus(s(x),s(y)) -> #minus(x,y) #6: #f(true(),s(x)) -> #f(eq^1_0(minus(x,x)),double(s(x))) #7: #f(true(),s(x)) -> #eq^1_0(minus(x,x)) #8: #f(true(),s(x)) -> #minus(x,x) #9: #f(true(),s(x)) -> #double(s(x)) #10: #doubleAkk(s(x),y) -> #doubleAkk(x,s(s(y))) Number of SCCs: 4, DPs: 5 SCC { #5 } POLO(Sum)... succeeded. #eq^1_s w: 0 s w: x1 + 1 eq^1_s w: 0 #eq^1_0 w: 0 minus w: 0 eq w: 0 false w: 0 true w: 0 f w: 0 #eq w: 0 #doubleAkk w: 0 0 w: 0 eq^1_0 w: 0 #double w: 0 double w: 0 doubleAkk w: 0 #f w: 0 #minus w: x2 USABLE RULES: { } Removed DPs: #5 Number of SCCs: 3, DPs: 4 SCC { #10 } POLO(Sum)... succeeded. #eq^1_s w: 0 s w: x1 + 1 eq^1_s w: 0 #eq^1_0 w: 0 minus w: 0 eq w: 0 false w: 0 true w: 0 f w: 0 #eq w: 0 #doubleAkk w: x1 0 w: 0 eq^1_0 w: 0 #double w: 0 double w: 0 doubleAkk w: 0 #f w: 0 #minus w: 0 USABLE RULES: { } Removed DPs: #10 Number of SCCs: 2, DPs: 3 SCC { #6 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.