/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: app(x,y) -> helpa(0(),plus(length(x),length(y)),x,y) 2: plus(x,0()) -> x 3: plus(x,s(y)) -> s(plus(x,y)) 4: length(nil()) -> 0() 5: length(cons(x,y)) -> s(length(y)) 6: helpa(c,l,ys,zs) -> if(ge(c,l),c,l,ys,zs) 7: ge(x,0()) -> true() 8: ge(0(),s(x)) -> false() 9: ge(s(x),s(y)) -> ge(x,y) 10: if(true(),c,l,ys,zs) -> nil() 11: if(false(),c,l,ys,zs) -> helpb(c,l,ys,zs) 12: take(0(),cons(x,xs()),ys) -> x 13: take(0(),nil(),cons(y,ys)) -> y 14: take(s(c),cons(x,xs()),ys) -> take(c,xs(),ys) 15: take(s(c),nil(),cons(y,ys)) -> take(c,nil(),ys) 16: helpb(c,l,ys,zs) -> cons(take(c,ys,zs),helpa(s(c),l,ys,zs)) Number of strict rules: 16 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #helpa(c,l,ys,zs) -> #if(ge(c,l),c,l,ys,zs) #2: #helpa(c,l,ys,zs) -> #ge(c,l) #3: #ge(s(x),s(y)) -> #ge(x,y) #4: #if(false(),c,l,ys,zs) -> #helpb(c,l,ys,zs) #5: #take(s(c),cons(x,xs()),ys) -> #take(c,xs(),ys) #6: #length(cons(x,y)) -> #length(y) #7: #helpb(c,l,ys,zs) -> #take(c,ys,zs) #8: #helpb(c,l,ys,zs) -> #helpa(s(c),l,ys,zs) #9: #plus(x,s(y)) -> #plus(x,y) #10: #app(x,y) -> #helpa(0(),plus(length(x),length(y)),x,y) #11: #app(x,y) -> #plus(length(x),length(y)) #12: #app(x,y) -> #length(x) #13: #app(x,y) -> #length(y) #14: #take(s(c),nil(),cons(y,ys)) -> #take(c,nil(),ys) Number of SCCs: 5, DPs: 7 SCC { #6 } Sum... succeeded. s(x1) w: (0) #take(x1,x2,x3) w: (0) take(x1,x2,x3) w: (0) #plus(x1,x2) w: (0) #helpa(x1,x2,x3,x4) w: (0) false() w: (0) #ge(x1,x2) w: (0) helpb(x1,x2,x3,x4) w: (0) true() w: (0) 0() w: (0) if(x1,x2,x3,x4,x5) w: (0) ge(x1,x2) w: (0) nil() w: (0) #app(x1,x2) w: (0) plus(x1,x2) w: (0) cons(x1,x2) w: (1 + x2) #if(x1,x2,x3,x4,x5) w: (0) xs() w: (0) helpa(x1,x2,x3,x4) w: (0) length(x1) w: (0) #length(x1) w: (x1) #helpb(x1,x2,x3,x4) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #6 Number of SCCs: 4, DPs: 6 SCC { #9 } Sum... succeeded. s(x1) w: (1 + x1) #take(x1,x2,x3) w: (0) take(x1,x2,x3) w: (0) #plus(x1,x2) w: (x2) #helpa(x1,x2,x3,x4) w: (0) false() w: (0) #ge(x1,x2) w: (0) helpb(x1,x2,x3,x4) w: (0) true() w: (0) 0() w: (0) if(x1,x2,x3,x4,x5) w: (0) ge(x1,x2) w: (0) nil() w: (0) #app(x1,x2) w: (0) plus(x1,x2) w: (0) cons(x1,x2) w: (1) #if(x1,x2,x3,x4,x5) w: (0) xs() w: (0) helpa(x1,x2,x3,x4) w: (0) length(x1) w: (0) #length(x1) w: (0) #helpb(x1,x2,x3,x4) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #9 Number of SCCs: 3, DPs: 5 SCC { #3 } Sum... succeeded. s(x1) w: (1 + x1) #take(x1,x2,x3) w: (0) take(x1,x2,x3) w: (0) #plus(x1,x2) w: (0) #helpa(x1,x2,x3,x4) w: (0) false() w: (0) #ge(x1,x2) w: (x2) helpb(x1,x2,x3,x4) w: (0) true() w: (0) 0() w: (0) if(x1,x2,x3,x4,x5) w: (0) ge(x1,x2) w: (0) nil() w: (0) #app(x1,x2) w: (0) plus(x1,x2) w: (0) cons(x1,x2) w: (1) #if(x1,x2,x3,x4,x5) w: (0) xs() w: (0) helpa(x1,x2,x3,x4) w: (0) length(x1) w: (0) #length(x1) w: (0) #helpb(x1,x2,x3,x4) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #3 Number of SCCs: 2, DPs: 4 SCC { #14 } Sum... succeeded. s(x1) w: (1 + x1) #take(x1,x2,x3) w: (x2 + x1) take(x1,x2,x3) w: (0) #plus(x1,x2) w: (0) #helpa(x1,x2,x3,x4) w: (0) false() w: (0) #ge(x1,x2) w: (0) helpb(x1,x2,x3,x4) w: (0) true() w: (0) 0() w: (0) if(x1,x2,x3,x4,x5) w: (0) ge(x1,x2) w: (0) nil() w: (1) #app(x1,x2) w: (0) plus(x1,x2) w: (0) cons(x1,x2) w: (1) #if(x1,x2,x3,x4,x5) w: (0) xs() w: (0) helpa(x1,x2,x3,x4) w: (0) length(x1) w: (0) #length(x1) w: (0) #helpb(x1,x2,x3,x4) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #14 Number of SCCs: 1, DPs: 3 SCC { #1 #4 #8 } Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed. Finding a loop... failed.