/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(app(minus(),x),0()) -> x 2: app(app(minus(),app(s(),x)),app(s(),y)) -> app(app(minus(),x),y) 3: app(app(quot(),0()),app(s(),y)) -> 0() 4: app(app(quot(),app(s(),x)),app(s(),y)) -> app(s(),app(app(quot(),app(app(minus(),x),y)),app(s(),y))) 5: app(app(plus(),0()),y) -> y 6: app(app(plus(),app(s(),x)),y) -> app(s(),app(app(plus(),x),y)) 7: app(app(plus(),app(app(minus(),x),app(s(),0()))),app(app(minus(),y),app(s(),app(s(),z)))) -> app(app(plus(),app(app(minus(),y),app(s(),app(s(),z)))),app(app(minus(),x),app(s(),0()))) 8: app(app(plus(),app(app(plus(),x),app(s(),0()))),app(app(plus(),y),app(s(),app(s(),z)))) -> app(app(plus(),app(app(plus(),y),app(s(),app(s(),z)))),app(app(plus(),x),app(s(),0()))) 9: app(app(map(),f),nil()) -> nil() 10: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) 11: app(app(filter(),f),nil()) -> nil() 12: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) 13: app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) 14: app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) Number of strict rules: 14 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_minus(x,0()) -> x 2: app^2_minus(app^1_s(x),app^1_s(y)) -> app^2_minus(x,y) 3: app^2_quot(0(),app^1_s(y)) -> 0() 4: app^2_quot(app^1_s(x),app^1_s(y)) -> app^1_s(app^2_quot(app^2_minus(x,y),app^1_s(y))) 5: app^2_plus(0(),y) -> y 6: app^2_plus(app^1_s(x),y) -> app^1_s(app^2_plus(x,y)) 7: app^2_plus(app^2_minus(x,app^1_s(0())),app^2_minus(y,app^1_s(app^1_s(z)))) -> app^2_plus(app^2_minus(y,app^1_s(app^1_s(z))),app^2_minus(x,app^1_s(0()))) 8: app^2_plus(app^2_plus(x,app^1_s(0())),app^2_plus(y,app^1_s(app^1_s(z)))) -> app^2_plus(app^2_plus(y,app^1_s(app^1_s(z))),app^2_plus(x,app^1_s(0()))) 9: app^2_map(f,nil()) -> nil() 10: app^2_map(f,app^2_cons(x,xs)) -> app^2_cons(app(f,x),app^2_map(f,xs)) 11: app^2_filter(f,nil()) -> nil() 12: app^2_filter(f,app^2_cons(x,xs)) -> app^4_filter2(app(f,x),f,x,xs) 13: app^4_filter2(true(),f,x,xs) -> app^2_cons(x,app^2_filter(f,xs)) 14: app^4_filter2(false(),f,x,xs) -> app^2_filter(f,xs) 15: app(plus(),_1) ->= app^1_plus(_1) 16: app(app^1_plus(_1),_2) ->= app^2_plus(_1,_2) 17: app(cons(),_1) ->= app^1_cons(_1) 18: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 19: app(quot(),_1) ->= app^1_quot(_1) 20: app(app^1_quot(_1),_2) ->= app^2_quot(_1,_2) 21: app(s(),_1) ->= app^1_s(_1) 22: app(filter(),_1) ->= app^1_filter(_1) 23: app(app^1_filter(_1),_2) ->= app^2_filter(_1,_2) 24: app(map(),_1) ->= app^1_map(_1) 25: app(app^1_map(_1),_2) ->= app^2_map(_1,_2) 26: app(minus(),_1) ->= app^1_minus(_1) 27: app(app^1_minus(_1),_2) ->= app^2_minus(_1,_2) 28: app(filter2(),_1) ->= app^1_filter2(_1) 29: app(app^1_filter2(_1),_2) ->= app^2_filter2(_1,_2) 30: app(app^2_filter2(_1,_2),_3) ->= app^3_filter2(_1,_2,_3) 31: app(app^3_filter2(_1,_2,_3),_4) ->= app^4_filter2(_1,_2,_3,_4) Number of strict rules: 14 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^2_minus(app^1_s(x),app^1_s(y)) -> #app^2_minus(x,y) #2: #app^2_plus(app^1_s(x),y) -> #app^2_plus(x,y) #3: #app^4_filter2(true(),f,x,xs) -> #app^2_filter(f,xs) #4: #app(app^1_filter(_1),_2) ->? #app^2_filter(_1,_2) #5: #app^2_filter(f,app^2_cons(x,xs)) -> #app^4_filter2(app(f,x),f,x,xs) #6: #app^2_filter(f,app^2_cons(x,xs)) -> #app(f,x) #7: #app(app^3_filter2(_1,_2,_3),_4) ->? #app^4_filter2(_1,_2,_3,_4) #8: #app^4_filter2(false(),f,x,xs) -> #app^2_filter(f,xs) #9: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2) #10: #app(app^1_quot(_1),_2) ->? #app^2_quot(_1,_2) #11: #app^2_plus(app^2_minus(x,app^1_s(0())),app^2_minus(y,app^1_s(app^1_s(z)))) -> #app^2_plus(app^2_minus(y,app^1_s(app^1_s(z))),app^2_minus(x,app^1_s(0()))) #12: #app^2_map(f,app^2_cons(x,xs)) -> #app(f,x) #13: #app^2_map(f,app^2_cons(x,xs)) -> #app^2_map(f,xs) #14: #app(app^1_minus(_1),_2) ->? #app^2_minus(_1,_2) #15: #app(app^1_plus(_1),_2) ->? #app^2_plus(_1,_2) #16: #app^2_plus(app^2_plus(x,app^1_s(0())),app^2_plus(y,app^1_s(app^1_s(z)))) -> #app^2_plus(app^2_plus(y,app^1_s(app^1_s(z))),app^2_plus(x,app^1_s(0()))) #17: #app^2_quot(app^1_s(x),app^1_s(y)) -> #app^2_quot(app^2_minus(x,y),app^1_s(y)) #18: #app^2_quot(app^1_s(x),app^1_s(y)) -> #app^2_minus(x,y) Number of SCCs: 4, DPs: 14 SCC { #1 } POLO(Sum)... succeeded. app^2_quot w: 0 #app^2_minus w: x1 + x2 s w: 0 #app^2_quot w: 0 app^1_cons w: 0 app^1_plus w: 0 #app^2_map w: 0 minus w: 0 app^2_filter2 w: 0 app^4_filter2 w: 0 false w: 0 app^1_filter2 w: 0 true w: 0 #app^2_plus w: 0 filter2 w: 0 app^2_plus w: 0 0 w: 0 quot w: 0 #app^4_filter2 w: 0 app^1_quot w: 0 nil w: 0 #app w: 0 app^2_minus w: 0 map w: 0 app^1_filter w: 0 plus w: 0 cons w: 0 filter w: 0 app^1_minus w: 0 app^3_filter2 w: 0 app^2_filter w: 0 app^1_map w: 0 app^2_cons w: 0 app^1_s w: x1 + 1 app^2_map w: 0 #app^2_filter w: 0 app w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 3, DPs: 13 SCC { #17 } POLO(Sum)... succeeded. app^2_quot w: 0 #app^2_minus w: 0 s w: 0 #app^2_quot w: x1 app^1_cons w: 0 app^1_plus w: 0 #app^2_map w: 0 minus w: 0 app^2_filter2 w: 0 app^4_filter2 w: 0 false w: 0 app^1_filter2 w: 0 true w: 0 #app^2_plus w: 0 filter2 w: 0 app^2_plus w: 0 0 w: 1 quot w: 0 #app^4_filter2 w: 0 app^1_quot w: 0 nil w: 0 #app w: 0 app^2_minus w: x1 + 1 map w: 0 app^1_filter w: 0 plus w: 0 cons w: 0 filter w: 0 app^1_minus w: 0 app^3_filter2 w: 0 app^2_filter w: 0 app^1_map w: 0 app^2_cons w: 0 app^1_s w: x1 + 2 app^2_map w: 0 #app^2_filter w: 0 app w: 0 USABLE RULES: { 1 2 } Removed DPs: #17 Number of SCCs: 2, DPs: 12 SCC { #2 #11 #16 } POLO(Sum)... succeeded. app^2_quot w: 0 #app^2_minus w: 0 s w: 0 #app^2_quot w: x1 app^1_cons w: 0 app^1_plus w: 0 #app^2_map w: 0 minus w: 0 app^2_filter2 w: 0 app^4_filter2 w: 0 false w: 0 app^1_filter2 w: 0 true w: 0 #app^2_plus w: x1 + x2 filter2 w: 0 app^2_plus w: x1 + x2 + 2 0 w: 1 quot w: 0 #app^4_filter2 w: 0 app^1_quot w: 0 nil w: 0 #app w: 0 app^2_minus w: x1 + x2 + 1 map w: 0 app^1_filter w: 0 plus w: 0 cons w: 0 filter w: 0 app^1_minus w: 0 app^3_filter2 w: 0 app^2_filter w: 0 app^1_map w: 0 app^2_cons w: 0 app^1_s w: x1 + 1 app^2_map w: 0 #app^2_filter w: 0 app w: 0 USABLE RULES: { 1 2 5..8 } Removed DPs: #2 Number of SCCs: 2, DPs: 11 SCC { #11 #16 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. app^2_quot w: [0;0] #app^2_minus w: [0;0] s w: [0;0] #app^2_quot w: [0;0] app^1_cons w: [0;0] app^1_plus w: [0;0] #app^2_map w: [0;0] minus w: [0;0] app^2_filter2 w: [0;0] app^4_filter2 w: [0;0] false w: [0;0] app^1_filter2 w: [0;0] true w: [0;0] #app^2_plus w: [1,0;1,1] * x1 + [0,1;1,1] * x2 filter2 w: [0;0] app^2_plus w: [1,1;1,1] * x1 + [1,1;1,1] * x2 + [2;1] 0 w: [1;1] quot w: [0;0] #app^4_filter2 w: [0;0] app^1_quot w: [0;0] nil w: [0;0] #app w: [0;0] app^2_minus w: [1,1;1,1] * x1 + [0,0;1,1] * x2 + [1;0] map w: [0;0] app^1_filter w: [0;0] plus w: [0;0] cons w: [0;0] filter w: [0;0] app^1_minus w: [0;0] app^3_filter2 w: [0;0] app^2_filter w: [0;0] app^1_map w: [0;0] app^2_cons w: [0;0] app^1_s w: [0,1;1,0] * x1 + [2;1] app^2_map w: [0;0] #app^2_filter w: [0;0] app w: [0;0] USABLE RULES: { 1 2 5..8 } Removed DPs: #11 Number of SCCs: 2, DPs: 10 SCC { #16 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.