- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z)) [2] a__sel(0,cons(X,Z)) -> mark(X) [3] a__first(0,Z) -> nil [4] a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z)) [5] a__from(X) -> cons(mark(X),from(s(X))) [6] a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z)) [7] a__sel1(0,cons(X,Z)) -> a__quote(X) [8] a__first1(0,Z) -> nil1 [9] a__first1(s(X),cons(Y,Z)) -> cons1(a__quote(Y),a__first1(mark(X),mark(Z))) [10] a__quote(0) -> 01 [11] a__quote1(cons(X,Z)) -> cons1(a__quote(X),a__quote1(Z)) [12] a__quote1(nil) -> nil1 [13] a__quote(s(X)) -> s1(a__quote(X)) [14] a__quote(sel(X,Z)) -> a__sel1(mark(X),mark(Z)) [15] a__quote1(first(X,Z)) -> a__first1(mark(X),mark(Z)) [16] a__unquote(01) -> 0 [17] a__unquote(s1(X)) -> s(a__unquote(mark(X))) [18] a__unquote1(nil1) -> nil [19] a__unquote1(cons1(X,Z)) -> a__fcons(a__unquote(mark(X)),a__unquote1(mark(Z))) [20] a__fcons(X,Z) -> cons(mark(X),Z) [21] mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2)) [22] mark(first(X1,X2)) -> a__first(mark(X1),mark(X2)) [23] mark(from(X)) -> a__from(mark(X)) [24] mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2)) [25] mark(quote(X)) -> a__quote(X) [26] mark(first1(X1,X2)) -> a__first1(mark(X1),mark(X2)) [27] mark(quote1(X)) -> a__quote1(X) [28] mark(unquote(X)) -> a__unquote(mark(X)) [29] mark(unquote1(X)) -> a__unquote1(mark(X)) [30] mark(fcons(X1,X2)) -> a__fcons(mark(X1),mark(X2)) [31] mark(s(X)) -> s(mark(X)) [32] mark(cons(X1,X2)) -> cons(mark(X1),X2) [33] mark(0) -> 0 [34] mark(nil) -> nil [35] mark(nil1) -> nil1 [36] mark(cons1(X1,X2)) -> cons1(mark(X1),mark(X2)) [37] mark(01) -> 01 [38] mark(s1(X)) -> s1(mark(X)) [39] a__sel(X1,X2) -> sel(X1,X2) [40] a__first(X1,X2) -> first(X1,X2) [41] a__from(X) -> from(X) [42] a__sel1(X1,X2) -> sel1(X1,X2) [43] a__quote(X) -> quote(X) [44] a__first1(X1,X2) -> first1(X1,X2) [45] a__quote1(X) -> quote1(X) [46] a__unquote(X) -> unquote(X) [47] a__unquote1(X) -> unquote1(X) [48] a__fcons(X1,X2) -> fcons(X1,X2) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { a__sel(s(X),cons(Y,Z)) >= a__sel(mark(X),mark(Z)) ; a__sel(0,cons(X,Z)) >= mark(X) ; a__sel(X1,X2) >= sel(X1,X2) ; mark(s(X)) >= s(mark(X)) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(nil) >= nil ; mark(first(X1,X2)) >= a__first(mark(X1),mark(X2)) ; mark(from(X)) >= a__from(mark(X)) ; mark(nil1) >= nil1 ; mark(cons1(X1,X2)) >= cons1(mark(X1),mark(X2)) ; mark(01) >= 01 ; mark(s1(X)) >= s1(mark(X)) ; mark(sel(X1,X2)) >= a__sel(mark(X1),mark(X2)) ; mark(sel1(X1,X2)) >= a__sel1(mark(X1),mark(X2)) ; mark(quote(X)) >= a__quote(X) ; mark(first1(X1,X2)) >= a__first1(mark(X1),mark(X2)) ; mark(quote1(X)) >= a__quote1(X) ; mark(unquote(X)) >= a__unquote(mark(X)) ; mark(unquote1(X)) >= a__unquote1(mark(X)) ; mark(fcons(X1,X2)) >= a__fcons(mark(X1),mark(X2)) ; a__first(s(X),cons(Y,Z)) >= cons(mark(Y),first(X,Z)) ; a__first(0,Z) >= nil ; a__first(X1,X2) >= first(X1,X2) ; a__from(X) >= cons(mark(X),from(s(X))) ; a__from(X) >= from(X) ; a__sel1(s(X),cons(Y,Z)) >= a__sel1(mark(X),mark(Z)) ; a__sel1(0,cons(X,Z)) >= a__quote(X) ; a__sel1(X1,X2) >= sel1(X1,X2) ; a__quote(s(X)) >= s1(a__quote(X)) ; a__quote(0) >= 01 ; a__quote(sel(X,Z)) >= a__sel1(mark(X),mark(Z)) ; a__quote(X) >= quote(X) ; a__first1(s(X),cons(Y,Z)) >= cons1(a__quote(Y),a__first1(mark(X),mark(Z))) ; a__first1(0,Z) >= nil1 ; a__first1(X1,X2) >= first1(X1,X2) ; a__quote1(cons(X,Z)) >= cons1(a__quote(X),a__quote1(Z)) ; a__quote1(nil) >= nil1 ; a__quote1(first(X,Z)) >= a__first1(mark(X),mark(Z)) ; a__quote1(X) >= quote1(X) ; a__unquote(01) >= 0 ; a__unquote(s1(X)) >= s(a__unquote(mark(X))) ; a__unquote(X) >= unquote(X) ; a__unquote1(nil1) >= nil ; a__unquote1(cons1(X,Z)) >= a__fcons(a__unquote(mark(X)),a__unquote1(mark(Z))) ; a__unquote1(X) >= unquote1(X) ; a__fcons(X,Z) >= cons(mark(X),Z) ; a__fcons(X1,X2) >= fcons(X1,X2) ; Marked_a__fcons(X,Z) >= Marked_mark(X) ; Marked_a__unquote1(cons1(X,Z)) >= Marked_a__fcons(a__unquote(mark(X)), a__unquote1(mark(Z))) ; Marked_a__unquote1(cons1(X,Z)) >= Marked_a__unquote1(mark(Z)) ; Marked_a__unquote1(cons1(X,Z)) >= Marked_a__unquote(mark(X)) ; Marked_a__unquote1(cons1(X,Z)) >= Marked_mark(X) ; Marked_a__unquote1(cons1(X,Z)) >= Marked_mark(Z) ; Marked_a__unquote(s1(X)) >= Marked_a__unquote(mark(X)) ; Marked_a__unquote(s1(X)) >= Marked_mark(X) ; Marked_a__quote1(cons(X,Z)) >= Marked_a__quote1(Z) ; Marked_a__quote1(cons(X,Z)) >= Marked_a__quote(X) ; Marked_a__quote1(first(X,Z)) >= Marked_a__first1(mark(X),mark(Z)) ; Marked_a__quote1(first(X,Z)) >= Marked_mark(X) ; Marked_a__quote1(first(X,Z)) >= Marked_mark(Z) ; Marked_a__first1(s(X),cons(Y,Z)) >= Marked_a__first1(mark(X),mark(Z)) ; Marked_a__first1(s(X),cons(Y,Z)) >= Marked_a__quote(Y) ; Marked_a__first1(s(X),cons(Y,Z)) >= Marked_mark(X) ; Marked_a__first1(s(X),cons(Y,Z)) >= Marked_mark(Z) ; Marked_a__quote(s(X)) >= Marked_a__quote(X) ; Marked_a__quote(sel(X,Z)) >= Marked_a__sel1(mark(X),mark(Z)) ; Marked_a__quote(sel(X,Z)) >= Marked_mark(X) ; Marked_a__quote(sel(X,Z)) >= Marked_mark(Z) ; Marked_a__sel1(s(X),cons(Y,Z)) >= Marked_a__sel1(mark(X),mark(Z)) ; Marked_a__sel1(s(X),cons(Y,Z)) >= Marked_mark(X) ; Marked_a__sel1(s(X),cons(Y,Z)) >= Marked_mark(Z) ; Marked_a__sel1(0,cons(X,Z)) >= Marked_a__quote(X) ; Marked_a__from(X) >= Marked_mark(X) ; Marked_a__first(s(X),cons(Y,Z)) >= Marked_mark(Y) ; Marked_a__sel(s(X),cons(Y,Z)) >= Marked_a__sel(mark(X),mark(Z)) ; Marked_a__sel(s(X),cons(Y,Z)) >= Marked_mark(X) ; Marked_a__sel(s(X),cons(Y,Z)) >= Marked_mark(Z) ; Marked_a__sel(0,cons(X,Z)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(first(X1,X2)) >= Marked_a__first(mark(X1),mark(X2)) ; Marked_mark(first(X1,X2)) >= Marked_mark(X1) ; Marked_mark(first(X1,X2)) >= Marked_mark(X2) ; Marked_mark(from(X)) >= Marked_a__from(mark(X)) ; Marked_mark(from(X)) >= Marked_mark(X) ; Marked_mark(cons1(X1,X2)) >= Marked_mark(X1) ; Marked_mark(cons1(X1,X2)) >= Marked_mark(X2) ; Marked_mark(s1(X)) >= Marked_mark(X) ; Marked_mark(sel(X1,X2)) >= Marked_a__sel(mark(X1),mark(X2)) ; Marked_mark(sel(X1,X2)) >= Marked_mark(X1) ; Marked_mark(sel(X1,X2)) >= Marked_mark(X2) ; Marked_mark(sel1(X1,X2)) >= Marked_a__sel1(mark(X1),mark(X2)) ; Marked_mark(sel1(X1,X2)) >= Marked_mark(X1) ; Marked_mark(sel1(X1,X2)) >= Marked_mark(X2) ; Marked_mark(quote(X)) >= Marked_a__quote(X) ; Marked_mark(first1(X1,X2)) >= Marked_a__first1(mark(X1),mark(X2)) ; Marked_mark(first1(X1,X2)) >= Marked_mark(X1) ; Marked_mark(first1(X1,X2)) >= Marked_mark(X2) ; Marked_mark(quote1(X)) >= Marked_a__quote1(X) ; Marked_mark(unquote(X)) >= Marked_a__unquote(mark(X)) ; Marked_mark(unquote(X)) >= Marked_mark(X) ; Marked_mark(unquote1(X)) >= Marked_a__unquote1(mark(X)) ; Marked_mark(unquote1(X)) >= Marked_mark(X) ; Marked_mark(fcons(X1,X2)) >= Marked_a__fcons(mark(X1),mark(X2)) ; Marked_mark(fcons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(fcons(X1,X2)) >= Marked_mark(X2) ; } + Disjunctions:{ { Marked_a__fcons(X,Z) > Marked_mark(X) ; } { Marked_a__unquote1(cons1(X,Z)) > Marked_a__fcons(a__unquote(mark(X)), a__unquote1(mark(Z))) ; } { Marked_a__unquote1(cons1(X,Z)) > Marked_a__unquote1(mark(Z)) ; } { Marked_a__unquote1(cons1(X,Z)) > Marked_a__unquote(mark(X)) ; } { Marked_a__unquote1(cons1(X,Z)) > Marked_mark(X) ; } { Marked_a__unquote1(cons1(X,Z)) > Marked_mark(Z) ; } { Marked_a__unquote(s1(X)) > Marked_a__unquote(mark(X)) ; } { Marked_a__unquote(s1(X)) > Marked_mark(X) ; } { Marked_a__quote1(cons(X,Z)) > Marked_a__quote1(Z) ; } { Marked_a__quote1(cons(X,Z)) > Marked_a__quote(X) ; } { Marked_a__quote1(first(X,Z)) > Marked_a__first1(mark(X),mark(Z)) ; } { Marked_a__quote1(first(X,Z)) > Marked_mark(X) ; } { Marked_a__quote1(first(X,Z)) > Marked_mark(Z) ; } { Marked_a__first1(s(X),cons(Y,Z)) > Marked_a__first1(mark(X),mark(Z)) ; } { Marked_a__first1(s(X),cons(Y,Z)) > Marked_a__quote(Y) ; } { Marked_a__first1(s(X),cons(Y,Z)) > Marked_mark(X) ; } { Marked_a__first1(s(X),cons(Y,Z)) > Marked_mark(Z) ; } { Marked_a__quote(s(X)) > Marked_a__quote(X) ; } { Marked_a__quote(sel(X,Z)) > Marked_a__sel1(mark(X),mark(Z)) ; } { Marked_a__quote(sel(X,Z)) > Marked_mark(X) ; } { Marked_a__quote(sel(X,Z)) > Marked_mark(Z) ; } { Marked_a__sel1(s(X),cons(Y,Z)) > Marked_a__sel1(mark(X),mark(Z)) ; } { Marked_a__sel1(s(X),cons(Y,Z)) > Marked_mark(X) ; } { Marked_a__sel1(s(X),cons(Y,Z)) > Marked_mark(Z) ; } { Marked_a__sel1(0,cons(X,Z)) > Marked_a__quote(X) ; } { Marked_a__from(X) > Marked_mark(X) ; } { Marked_a__first(s(X),cons(Y,Z)) > Marked_mark(Y) ; } { Marked_a__sel(s(X),cons(Y,Z)) > Marked_a__sel(mark(X),mark(Z)) ; } { Marked_a__sel(s(X),cons(Y,Z)) > Marked_mark(X) ; } { Marked_a__sel(s(X),cons(Y,Z)) > Marked_mark(Z) ; } { Marked_a__sel(0,cons(X,Z)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(first(X1,X2)) > Marked_a__first(mark(X1),mark(X2)) ; } { Marked_mark(first(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(first(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(from(X)) > Marked_a__from(mark(X)) ; } { Marked_mark(from(X)) > Marked_mark(X) ; } { Marked_mark(cons1(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(cons1(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(s1(X)) > Marked_mark(X) ; } { Marked_mark(sel(X1,X2)) > Marked_a__sel(mark(X1),mark(X2)) ; } { Marked_mark(sel(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(sel(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(sel1(X1,X2)) > Marked_a__sel1(mark(X1),mark(X2)) ; } { Marked_mark(sel1(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(sel1(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(quote(X)) > Marked_a__quote(X) ; } { Marked_mark(first1(X1,X2)) > Marked_a__first1(mark(X1),mark(X2)) ; } { Marked_mark(first1(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(first1(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(quote1(X)) > Marked_a__quote1(X) ; } { Marked_mark(unquote(X)) > Marked_a__unquote(mark(X)) ; } { Marked_mark(unquote(X)) > Marked_mark(X) ; } { Marked_mark(unquote1(X)) > Marked_a__unquote1(mark(X)) ; } { Marked_mark(unquote1(X)) > Marked_mark(X) ; } { Marked_mark(fcons(X1,X2)) > Marked_a__fcons(mark(X1),mark(X2)) ; } { Marked_mark(fcons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(fcons(X1,X2)) > Marked_mark(X2) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === Time out for these parameters. === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (Simple graph) Found the following constraints: { a__sel(s(X),cons(Y,Z)) >= a__sel(mark(X),mark(Z)) ; a__sel(0,cons(X,Z)) >= mark(X) ; a__sel(X1,X2) >= sel(X1,X2) ; mark(s(X)) >= s(mark(X)) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(nil) >= nil ; mark(first(X1,X2)) >= a__first(mark(X1),mark(X2)) ; mark(from(X)) >= a__from(mark(X)) ; mark(nil1) >= nil1 ; mark(cons1(X1,X2)) >= cons1(mark(X1),mark(X2)) ; mark(01) >= 01 ; mark(s1(X)) >= s1(mark(X)) ; mark(sel(X1,X2)) >= a__sel(mark(X1),mark(X2)) ; mark(sel1(X1,X2)) >= a__sel1(mark(X1),mark(X2)) ; mark(quote(X)) >= a__quote(X) ; mark(first1(X1,X2)) >= a__first1(mark(X1),mark(X2)) ; mark(quote1(X)) >= a__quote1(X) ; mark(unquote(X)) >= a__unquote(mark(X)) ; mark(unquote1(X)) >= a__unquote1(mark(X)) ; mark(fcons(X1,X2)) >= a__fcons(mark(X1),mark(X2)) ; a__first(s(X),cons(Y,Z)) >= cons(mark(Y),first(X,Z)) ; a__first(0,Z) >= nil ; a__first(X1,X2) >= first(X1,X2) ; a__from(X) >= cons(mark(X),from(s(X))) ; a__from(X) >= from(X) ; a__sel1(s(X),cons(Y,Z)) >= a__sel1(mark(X),mark(Z)) ; a__sel1(0,cons(X,Z)) >= a__quote(X) ; a__sel1(X1,X2) >= sel1(X1,X2) ; a__quote(s(X)) >= s1(a__quote(X)) ; a__quote(0) >= 01 ; a__quote(sel(X,Z)) >= a__sel1(mark(X),mark(Z)) ; a__quote(X) >= quote(X) ; a__first1(s(X),cons(Y,Z)) >= cons1(a__quote(Y),a__first1(mark(X),mark(Z))) ; a__first1(0,Z) >= nil1 ; a__first1(X1,X2) >= first1(X1,X2) ; a__quote1(cons(X,Z)) >= cons1(a__quote(X),a__quote1(Z)) ; a__quote1(nil) >= nil1 ; a__quote1(first(X,Z)) >= a__first1(mark(X),mark(Z)) ; a__quote1(X) >= quote1(X) ; a__unquote(01) >= 0 ; a__unquote(s1(X)) >= s(a__unquote(mark(X))) ; a__unquote(X) >= unquote(X) ; a__unquote1(nil1) >= nil ; a__unquote1(cons1(X,Z)) >= a__fcons(a__unquote(mark(X)),a__unquote1(mark(Z))) ; a__unquote1(X) >= unquote1(X) ; a__fcons(X,Z) >= cons(mark(X),Z) ; a__fcons(X1,X2) >= fcons(X1,X2) ; Marked_a__fcons(X,Z) > Marked_mark(X) ; Marked_a__unquote1(cons1(X,Z)) > Marked_a__fcons(a__unquote(mark(X)), a__unquote1(mark(Z))) ; Marked_a__unquote1(cons1(X,Z)) > Marked_a__unquote1(mark(Z)) ; Marked_a__unquote1(cons1(X,Z)) >= Marked_a__unquote(mark(X)) ; Marked_a__unquote1(cons1(X,Z)) > Marked_mark(X) ; Marked_a__unquote1(cons1(X,Z)) > Marked_mark(Z) ; Marked_a__unquote(s1(X)) > Marked_a__unquote(mark(X)) ; Marked_a__unquote(s1(X)) > Marked_mark(X) ; Marked_a__quote1(cons(X,Z)) > Marked_a__quote1(Z) ; Marked_a__quote1(cons(X,Z)) >= Marked_a__quote(X) ; Marked_a__quote1(first(X,Z)) >= Marked_a__first1(mark(X),mark(Z)) ; Marked_a__quote1(first(X,Z)) > Marked_mark(X) ; Marked_a__quote1(first(X,Z)) > Marked_mark(Z) ; Marked_a__first1(s(X),cons(Y,Z)) > Marked_a__first1(mark(X),mark(Z)) ; Marked_a__first1(s(X),cons(Y,Z)) >= Marked_a__quote(Y) ; Marked_a__first1(s(X),cons(Y,Z)) > Marked_mark(X) ; Marked_a__first1(s(X),cons(Y,Z)) > Marked_mark(Z) ; Marked_a__quote(s(X)) > Marked_a__quote(X) ; Marked_a__quote(sel(X,Z)) > Marked_a__sel1(mark(X),mark(Z)) ; Marked_a__quote(sel(X,Z)) > Marked_mark(X) ; Marked_a__quote(sel(X,Z)) > Marked_mark(Z) ; Marked_a__sel1(s(X),cons(Y,Z)) > Marked_a__sel1(mark(X),mark(Z)) ; Marked_a__sel1(s(X),cons(Y,Z)) > Marked_mark(X) ; Marked_a__sel1(s(X),cons(Y,Z)) > Marked_mark(Z) ; Marked_a__sel1(0,cons(X,Z)) > Marked_a__quote(X) ; Marked_a__from(X) > Marked_mark(X) ; Marked_a__first(s(X),cons(Y,Z)) > Marked_mark(Y) ; Marked_a__sel(s(X),cons(Y,Z)) > Marked_a__sel(mark(X),mark(Z)) ; Marked_a__sel(s(X),cons(Y,Z)) > Marked_mark(X) ; Marked_a__sel(s(X),cons(Y,Z)) > Marked_mark(Z) ; Marked_a__sel(0,cons(X,Z)) > Marked_mark(X) ; Marked_mark(s(X)) > Marked_mark(X) ; Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; Marked_mark(first(X1,X2)) >= Marked_a__first(mark(X1),mark(X2)) ; Marked_mark(first(X1,X2)) > Marked_mark(X1) ; Marked_mark(first(X1,X2)) > Marked_mark(X2) ; Marked_mark(from(X)) >= Marked_a__from(mark(X)) ; Marked_mark(from(X)) > Marked_mark(X) ; Marked_mark(cons1(X1,X2)) > Marked_mark(X1) ; Marked_mark(cons1(X1,X2)) > Marked_mark(X2) ; Marked_mark(s1(X)) > Marked_mark(X) ; Marked_mark(sel(X1,X2)) >= Marked_a__sel(mark(X1),mark(X2)) ; Marked_mark(sel(X1,X2)) > Marked_mark(X1) ; Marked_mark(sel(X1,X2)) > Marked_mark(X2) ; Marked_mark(sel1(X1,X2)) >= Marked_a__sel1(mark(X1),mark(X2)) ; Marked_mark(sel1(X1,X2)) > Marked_mark(X1) ; Marked_mark(sel1(X1,X2)) > Marked_mark(X2) ; Marked_mark(quote(X)) >= Marked_a__quote(X) ; Marked_mark(first1(X1,X2)) >= Marked_a__first1(mark(X1),mark(X2)) ; Marked_mark(first1(X1,X2)) > Marked_mark(X1) ; Marked_mark(first1(X1,X2)) > Marked_mark(X2) ; Marked_mark(quote1(X)) >= Marked_a__quote1(X) ; Marked_mark(unquote(X)) >= Marked_a__unquote(mark(X)) ; Marked_mark(unquote(X)) > Marked_mark(X) ; Marked_mark(unquote1(X)) >= Marked_a__unquote1(mark(X)) ; Marked_mark(unquote1(X)) > Marked_mark(X) ; Marked_mark(fcons(X1,X2)) >= Marked_a__fcons(mark(X1),mark(X2)) ; Marked_mark(fcons(X1,X2)) > Marked_mark(X1) ; Marked_mark(fcons(X1,X2)) > Marked_mark(X2) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { a__sel(s(X),cons(Y,Z)) >= a__sel(mark(X),mark(Z)) ; a__sel(0,cons(X,Z)) >= mark(X) ; a__sel(X1,X2) >= sel(X1,X2) ; mark(s(X)) >= s(mark(X)) ; mark(cons(X1,X2)) >= cons(mark(X1),X2) ; mark(0) >= 0 ; mark(nil) >= nil ; mark(first(X1,X2)) >= a__first(mark(X1),mark(X2)) ; mark(from(X)) >= a__from(mark(X)) ; mark(nil1) >= nil1 ; mark(cons1(X1,X2)) >= cons1(mark(X1),mark(X2)) ; mark(01) >= 01 ; mark(s1(X)) >= s1(mark(X)) ; mark(sel(X1,X2)) >= a__sel(mark(X1),mark(X2)) ; mark(sel1(X1,X2)) >= a__sel1(mark(X1),mark(X2)) ; mark(quote(X)) >= a__quote(X) ; mark(first1(X1,X2)) >= a__first1(mark(X1),mark(X2)) ; mark(quote1(X)) >= a__quote1(X) ; mark(unquote(X)) >= a__unquote(mark(X)) ; mark(unquote1(X)) >= a__unquote1(mark(X)) ; mark(fcons(X1,X2)) >= a__fcons(mark(X1),mark(X2)) ; a__first(s(X),cons(Y,Z)) >= cons(mark(Y),first(X,Z)) ; a__first(0,Z) >= nil ; a__first(X1,X2) >= first(X1,X2) ; a__from(X) >= cons(mark(X),from(s(X))) ; a__from(X) >= from(X) ; a__sel1(s(X),cons(Y,Z)) >= a__sel1(mark(X),mark(Z)) ; a__sel1(0,cons(X,Z)) >= a__quote(X) ; a__sel1(X1,X2) >= sel1(X1,X2) ; a__quote(s(X)) >= s1(a__quote(X)) ; a__quote(0) >= 01 ; a__quote(sel(X,Z)) >= a__sel1(mark(X),mark(Z)) ; a__quote(X) >= quote(X) ; a__first1(s(X),cons(Y,Z)) >= cons1(a__quote(Y),a__first1(mark(X),mark(Z))) ; a__first1(0,Z) >= nil1 ; a__first1(X1,X2) >= first1(X1,X2) ; a__quote1(cons(X,Z)) >= cons1(a__quote(X),a__quote1(Z)) ; a__quote1(nil) >= nil1 ; a__quote1(first(X,Z)) >= a__first1(mark(X),mark(Z)) ; a__quote1(X) >= quote1(X) ; a__unquote(01) >= 0 ; a__unquote(s1(X)) >= s(a__unquote(mark(X))) ; a__unquote(X) >= unquote(X) ; a__unquote1(nil1) >= nil ; a__unquote1(cons1(X,Z)) >= a__fcons(a__unquote(mark(X)),a__unquote1(mark(Z))) ; a__unquote1(X) >= unquote1(X) ; a__fcons(X,Z) >= cons(mark(X),Z) ; a__fcons(X1,X2) >= fcons(X1,X2) ; Marked_a__fcons(X,Z) > Marked_mark(X) ; Marked_a__unquote1(cons1(X,Z)) > Marked_a__fcons(a__unquote(mark(X)), a__unquote1(mark(Z))) ; Marked_a__unquote1(cons1(X,Z)) > Marked_a__unquote1(mark(Z)) ; Marked_a__unquote1(cons1(X,Z)) >= Marked_a__unquote(mark(X)) ; Marked_a__unquote1(cons1(X,Z)) > Marked_mark(X) ; Marked_a__unquote1(cons1(X,Z)) > Marked_mark(Z) ; Marked_a__unquote(s1(X)) > Marked_a__unquote(mark(X)) ; Marked_a__unquote(s1(X)) > Marked_mark(X) ; Marked_a__quote1(cons(X,Z)) > Marked_a__quote1(Z) ; Marked_a__quote1(cons(X,Z)) >= Marked_a__quote(X) ; Marked_a__quote1(first(X,Z)) >= Marked_a__first1(mark(X),mark(Z)) ; Marked_a__quote1(first(X,Z)) > Marked_mark(X) ; Marked_a__quote1(first(X,Z)) > Marked_mark(Z) ; Marked_a__first1(s(X),cons(Y,Z)) > Marked_a__first1(mark(X),mark(Z)) ; Marked_a__first1(s(X),cons(Y,Z)) >= Marked_a__quote(Y) ; Marked_a__first1(s(X),cons(Y,Z)) > Marked_mark(X) ; Marked_a__first1(s(X),cons(Y,Z)) > Marked_mark(Z) ; Marked_a__quote(s(X)) > Marked_a__quote(X) ; Marked_a__quote(sel(X,Z)) > Marked_a__sel1(mark(X),mark(Z)) ; Marked_a__quote(sel(X,Z)) > Marked_mark(X) ; Marked_a__quote(sel(X,Z)) > Marked_mark(Z) ; Marked_a__sel1(s(X),cons(Y,Z)) > Marked_a__sel1(mark(X),mark(Z)) ; Marked_a__sel1(s(X),cons(Y,Z)) > Marked_mark(X) ; Marked_a__sel1(s(X),cons(Y,Z)) > Marked_mark(Z) ; Marked_a__sel1(0,cons(X,Z)) > Marked_a__quote(X) ; Marked_a__from(X) > Marked_mark(X) ; Marked_a__first(s(X),cons(Y,Z)) > Marked_mark(Y) ; Marked_a__sel(s(X),cons(Y,Z)) > Marked_a__sel(mark(X),mark(Z)) ; Marked_a__sel(s(X),cons(Y,Z)) > Marked_mark(X) ; Marked_a__sel(s(X),cons(Y,Z)) > Marked_mark(Z) ; Marked_a__sel(0,cons(X,Z)) > Marked_mark(X) ; Marked_mark(s(X)) > Marked_mark(X) ; Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; Marked_mark(first(X1,X2)) >= Marked_a__first(mark(X1),mark(X2)) ; Marked_mark(first(X1,X2)) > Marked_mark(X1) ; Marked_mark(first(X1,X2)) > Marked_mark(X2) ; Marked_mark(from(X)) >= Marked_a__from(mark(X)) ; Marked_mark(from(X)) > Marked_mark(X) ; Marked_mark(cons1(X1,X2)) > Marked_mark(X1) ; Marked_mark(cons1(X1,X2)) > Marked_mark(X2) ; Marked_mark(s1(X)) > Marked_mark(X) ; Marked_mark(sel(X1,X2)) >= Marked_a__sel(mark(X1),mark(X2)) ; Marked_mark(sel(X1,X2)) > Marked_mark(X1) ; Marked_mark(sel(X1,X2)) > Marked_mark(X2) ; Marked_mark(sel1(X1,X2)) >= Marked_a__sel1(mark(X1),mark(X2)) ; Marked_mark(sel1(X1,X2)) > Marked_mark(X1) ; Marked_mark(sel1(X1,X2)) > Marked_mark(X2) ; Marked_mark(quote(X)) >= Marked_a__quote(X) ; Marked_mark(first1(X1,X2)) >= Marked_a__first1(mark(X1),mark(X2)) ; Marked_mark(first1(X1,X2)) > Marked_mark(X1) ; Marked_mark(first1(X1,X2)) > Marked_mark(X2) ; Marked_mark(quote1(X)) >= Marked_a__quote1(X) ; Marked_mark(unquote(X)) >= Marked_a__unquote(mark(X)) ; Marked_mark(unquote(X)) > Marked_mark(X) ; Marked_mark(unquote1(X)) >= Marked_a__unquote1(mark(X)) ; Marked_mark(unquote1(X)) > Marked_mark(X) ; Marked_mark(fcons(X1,X2)) >= Marked_a__fcons(mark(X1),mark(X2)) ; Marked_mark(fcons(X1,X2)) > Marked_mark(X1) ; Marked_mark(fcons(X1,X2)) > Marked_mark(X2) ; } + Disjunctions:{ } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === Time out for these parameters. === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (ID_CRIT) NOT SOLVED No proof found Cime worked for 60.043054 seconds (real time) Cime Exit Status: 0