first commit

.gitignore

@@ -0,0 +1,2 @@
+_build/
+*.merlin

CHANGELOG.md

@@ -0,0 +1,14 @@
+# Change Log
+
+All notable changes to this project will be documented in this file.
+
+The format is based on [Keep a Changelog](http://keepachangelog.com/).
+
+## [Unreleased]
+
+### Added
+
+- initial release
+
+[Unreleased]: https://git.zapashcanon.fr/zapashcanon/bdd/src/branch/master
+

LICENSE.md

@@ -0,0 +1,8 @@
+The ISC License (ISC)
+=====================
+
+Copyright © 2019, Léo Andrès and Jean-Christophe Filliâtre
+
+Permission to use, copy, modify, and/or distribute this software for any purpose with or without fee is hereby granted, provided that the above copyright notice and this permission notice appear in all copies.
+
+THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.

README.md

@@ -0,0 +1,57 @@
+# Binary Decision Diagram library in OCaml
+
+This library provides many implementations of BDD with the same interface. We provide the same set of tests and benchmarks for all of them.
+
+- `src/bdd_naive.ml`: naïve implementation
+- `src/bdd_hashcons.ml`: hash-consing implementation
+- `src/bdd_hashcons_memo.ml`: hash-consing plus memoïzation implementation
+
+They all have the same functorial interface, that you can find in `src/bdd.ml`.
+
+We have our own implementation of boolean expression:
+
+- `src/expr_lexer.mll`: the lexer
+- `src/expr_parser.mly`: the parser
+- `src/expr.ml`: the abstract syntax
+- `src/expr_utils.ml`: high-level functions to get an AST from a file or a string containing an expression written in the concrete syntax
+
+Here's what an expression in the concrete-syntax looks like: `((0 || 1) && z => 1) <=> !(x && y || z)`.
+
+## Build
+
+You need to have `dune` on your system. Then:
+
+```sh
+scripts/build.sh
+```
+
+## Test
+
+```sh
+scripts/test.sh
+```
+
+## Bench
+
+An expression written in the concrete syntax - don't forget to put double quotes around it:
+
+```sh
+scripts/bench.sh -e <expression>
+```
+
+A file containing an expression:
+
+```sh
+scripts/bench.sh -f <file>
+```
+
+## Change Log
+
+See [CHANGELOG].
+
+## License
+
+See [LICENSE].
+
+[CHANGELOG]: ./CHANGELOG.md
+[LICENSE]: ./LICENSE.md

dune-project

@@ -0,0 +1,3 @@
+(lang dune 1.6)
+(name bdd)
+(using menhir 2.0)

scripts/bench.sh

@@ -0,0 +1,9 @@
+#!/bin/sh
+
+set -eu
+
+
+( cd "$(dirname "$0")/../"
+  eval "$(opam env)"
+  dune exec src/bench.exe -- "$@"
+)

scripts/build.sh

@@ -0,0 +1,7 @@
+#!/bin/sh
+
+set -eu
+
+( cd "$(dirname "$0")/../"
+  eval "$(opam env)"
+  dune build @all )

scripts/clean.sh

@@ -0,0 +1,7 @@
+#!/bin/sh
+
+set -eu
+
+( cd "$(dirname "$0")/../"
+  eval "$(opam env)"
+  dune clean )

scripts/install.sh

@@ -0,0 +1,8 @@
+#!/bin/sh
+
+set -eu
+
+( cd "$(dirname "$0")/../"
+  eval "$(opam env)"
+  dune build @install
+  dune install bdd )

scripts/test.sh

@@ -0,0 +1,8 @@
+#!/bin/sh
+
+set -eu
+
+
+( cd "$(dirname "$0")/../"
+  eval "$(opam env)"
+  dune exec src/test.exe )

scripts/todo.sh

@@ -0,0 +1,6 @@
+#!/bin/sh
+
+set -eu
+
+( cd "$(dirname "$0")/../"
+  ( find . -type f -print0 | xargs -0 cat) | grep -r TODO )

src/bdd.ml

@@ -0,0 +1,46 @@
+module type S = sig
+
+  type expr
+  type var
+  type t
+
+  val var_bdd: var -> t
+  val true_bdd: t
+  val false_bdd: t
+  val ite: t -> t -> t -> t
+  val conj: t -> t -> t
+  val disj: t -> t -> t
+  val neg: t -> t
+  val imp: t -> t -> t
+  val eq: t -> t -> t
+  val of_expr: expr -> t
+  val to_expr: t -> expr
+  val to_string: t -> string
+  val compute: (var, bool) Hashtbl.t -> t -> t
+  val of_string: string -> t
+  val var_of_string: string -> var
+end
+
+(* TODO: currently this is useless, but may be useful later *)
+module Make (M : S) : (S with type var = M.var and type expr = M.expr) = struct
+
+  type t = M.t
+  type var = M.var
+  type expr = M.expr
+
+  let var_bdd = M.var_bdd
+  let true_bdd = M.true_bdd
+  let false_bdd = M.false_bdd
+  let ite = M.ite
+  let conj = M.conj
+  let disj = M.disj
+  let neg = M.neg
+  let imp = M.imp
+  let eq = M.eq
+  let of_expr = M.of_expr
+  let to_expr = M.to_expr
+  let to_string = M.to_string
+  let compute = M.compute
+  let of_string = M.of_string
+  let var_of_string = M.var_of_string
+end

src/bdd_hashcons.ml

@@ -0,0 +1,91 @@
+module C = Bdd_hashcons_common
+
+type t = C.t
+type expr = C.expr
+type var = C.var
+
+let ite = C.ite
+let false_bdd = C.false_bdd
+let true_bdd = C.true_bdd
+let var_bdd = C.var_bdd
+
+open Bdd_hashcons_common
+open Hashcons
+
+let rec to_string x = match x.node with
+  | True -> "true"
+  | False -> "false"
+  | Node (v, l, h) ->
+      v ^ " ? "
+      ^ "(" ^ (to_string l) ^ ")"
+      ^ ": (" ^ (to_string h) ^ ")"
+
+let rec neg x = match x.node with
+  | True -> false_bdd
+  | False -> true_bdd
+  | Node (v, l, h) -> node v (neg l) (neg h)
+
+let comb n1 n2 op = match n1.node, n2.node with
+  | Node (v1, l1, h1), Node (v2, l2, h2) ->
+      node v1
+        (node v2 (op l1 l2) (op l1 h2))
+        (node v2 (op h1 l2) (op h1 h2))
+  | _ -> failwith "hashcons blah"
+
+let rec conj n1 n2 = match n1.node, n2.node with
+  | True, True -> true_bdd
+  | False, _ | _, False -> false_bdd
+  | True, _ -> n2
+  | _, True -> n1
+  | _ -> comb n1 n2 conj
+
+let rec disj n1 n2 = match n1.node, n2.node with
+  | True, _ | _, True -> true_bdd
+  | False, False -> false_bdd
+  | False, _ -> n2
+  | _, False -> n1
+  | _ -> comb n1 n2 disj
+
+let rec imp n1 n2 = match n1.node, n2.node with
+  | False, _ | True, True -> true_bdd
+  | True, False -> false_bdd
+  | True, _ -> n2
+  | _ -> comb n1 n2 imp
+
+let rec eq n1 n2 = match n1.node, n2.node with
+  | False, False | True, True -> true_bdd
+  | True, False | False, True -> false_bdd
+  | _, _ -> comb n1 n2 eq
+
+let rec of_expr = function
+  | Expr.True -> true_bdd
+  | Expr.False -> false_bdd
+  | Expr.Var v -> var_bdd v
+  | Expr.Neg e -> neg (of_expr e)
+  | Expr.And (e1, e2) -> conj (of_expr e1) (of_expr e2)
+  | Expr.Or (e1, e2) -> disj (of_expr e1) (of_expr e2)
+  | Expr.Imp (e1, e2) -> imp (of_expr e1) (of_expr e2)
+  | Expr.Eq (e1, e2) -> eq (of_expr e1) (of_expr e2)
+
+let compute tbl =
+  let rec compute_aux n = match n.node with
+  | False -> false_bdd
+  | True -> true_bdd
+  | Node (v, l, h) -> ( match Hashtbl.find tbl v with
+    | exception Not_found ->
+      failwith ("truth value of " ^ v ^ " is missing")
+    | true -> compute_aux l
+    | false -> compute_aux h )
+  in compute_aux
+
+let rec to_expr n = match n.node with
+  | False -> Expr.False
+  | True -> Expr.True
+  | Node (v, l, h) ->
+      Expr.Or (
+        Expr.And (Expr.Var v, (to_expr l)),
+        Expr.And (Expr.Neg (Expr.Var v), (to_expr h)))
+
+let of_string s = of_expr (Expr_utils.from_string s)
+
+let var_of_string s = s

src/bdd_hashcons_common.ml

@@ -0,0 +1,38 @@
+type var = string
+type expr = Expr.t
+
+type t = bdd Hashcons.hash_consed
+and bdd =
+  | True
+  | False
+  | Node of var * t * t (* x ? true : false *)
+
+module Bdd_node = struct
+  type t = bdd
+  let equal x y = match x, y with
+  | True, True -> true
+  | False, False -> true
+  | Node (v1, l1, r1), Node (v2, l2, r2) ->
+      v1 == v2 && l1 == l2 && r1 == r2
+  | _ -> false
+  let hash = function
+  | True -> 1
+  | False -> 0
+  | Node (_, l, r) ->
+      (* TODO: add v here *)
+      (19 * l.hkey + r.hkey)
+end
+
+module Hbdd = Hashcons.Make(Bdd_node)
+
+let node, false_bdd, true_bdd, var_bdd(*, ite*) =
+  let hc = Hbdd.hashcons (Hbdd.create 256) in
+  let true_bdd = hc True in
+  let false_bdd = hc False in
+  (fun v l h -> if l == h then l else hc (Node (v, l, h))),
+  (false_bdd),
+  (true_bdd),
+  (fun v -> hc (Node (v, true_bdd, false_bdd)))(*,
+  (fun _if _then _else -> false_bdd) TODO *)
+
+let ite _ _ _ = false_bdd (* TODO *)

src/bdd_hashcons_memo.ml

@@ -0,0 +1,106 @@
+module C = Bdd_hashcons_common
+
+type t = C.t
+type expr = C.expr
+type var = C.var
+
+let ite = C.ite
+let false_bdd = C.false_bdd
+let true_bdd = C.true_bdd
+let var_bdd = C.var_bdd
+
+open Bdd_hashcons_common
+open Hashcons
+
+let to_string = Hbdd.memo (fun to_string x ->
+  match x.node with
+  | True -> "true"
+  | False -> "false"
+  | Node (v, l, h) ->
+    v ^ " ? "
+    ^ "(" ^ (to_string l) ^ ")"
+    ^ ": (" ^ (to_string h) ^ ")")
+
+let neg = Hbdd.memo (fun neg x ->
+  match x.node with
+  | True -> false_bdd
+  | False -> true_bdd
+  | Node (v, l, h) -> node v (neg l) (neg h))
+
+let comb op = Hbdd.memo2 (fun _ n1 n2 ->
+  match n1.node, n2.node with
+  | Node (v1, l1, h1), Node (v2, l2, h2) ->
+      node v1
+        (node v2 (op l1 l2) (op l1 h2))
+        (node v2 (op h1 l2) (op h1 h2))
+  | _ -> failwith "hashcons-memo blah")
+
+let conj = Hbdd.memo2 (fun conj n1 n2 ->
+  match n1.node, n2.node with
+  | True, True -> true_bdd
+  | False, _ | _, False -> false_bdd
+  | True, _ -> n2
+  | _, True -> n1
+  | _ -> (comb conj) n1 n2)
+
+let disj = Hbdd.memo2 (fun disj n1 n2 ->
+  match n1.node, n2.node with
+  | True, _ | _, True -> true_bdd
+  | False, False -> false_bdd
+  | False, _ -> n2
+  | _, False -> n1
+  | _ -> (comb disj) n1 n2)
+
+let imp = Hbdd.memo2 (fun imp n1 n2 ->
+  match n1.node, n2.node with
+  | False, _ | True, True -> true_bdd
+  | True, False -> false_bdd
+  | True, _ -> n2
+  | _ -> (comb imp) n1 n2)
+
+let eq = Hbdd.memo2 (fun eq n1 n2 ->
+  match n1.node, n2.node with
+  | False, False | True, True -> true_bdd
+  | True, False | False, True -> false_bdd
+  | _, _ -> (comb eq) n1 n2)
+
+module MemoExpr = Memo.Make(struct
+  type t = Expr.t
+  let equal = (=)
+  let hash b = Hashtbl.hash b
+end)
+
+let of_expr = MemoExpr.memo (fun of_expr -> function
+  | Expr.True -> true_bdd
+  | Expr.False -> false_bdd
+  | Expr.Var v -> var_bdd v
+  | Expr.Neg e -> neg (of_expr e)
+  | Expr.And (e1, e2) -> conj (of_expr e1) (of_expr e2)
+  | Expr.Or (e1, e2) -> disj (of_expr e1) (of_expr e2)
+  | Expr.Imp (e1, e2) -> imp (of_expr e1) (of_expr e2)
+  | Expr.Eq (e1, e2) -> eq (of_expr e1) (of_expr e2))
+
+let compute tbl =
+  let compute_aux = Hbdd.memo (fun compute_aux n ->
+    match n.node with
+  | False -> false_bdd
+  | True -> true_bdd
+  | Node (v, l, h) -> ( match Hashtbl.find tbl v with
+    | exception Not_found ->
+        failwith ("truth value of " ^ v ^ " is missing")
+    | true -> compute_aux l
+    | false -> compute_aux h ))
+  in compute_aux
+
+let to_expr = Hbdd.memo (fun to_expr n ->
+  match n.node with
+  | False -> Expr.False
+  | True -> Expr.True
+  | Node (v, l, h) ->
+      Expr.Or (
+        Expr.And (Expr.Var v, (to_expr l)),
+        Expr.And (Expr.Neg (Expr.Var v), (to_expr h))))
+
+let of_string s = of_expr (Expr_utils.from_string s)
+
+let var_of_string s = s

src/bdd_naive.ml

@@ -0,0 +1,90 @@
+type var = string
+type expr = Expr.t
+
+type t =
+  | True
+  | False
+  | Node of var * t * t (* x ? true : false *)
+
+let var_bdd x = Node (x, True, False)
+let true_bdd = True
+let false_bdd = False
+
+let rec to_string = function
+  | True -> "true"
+  | False -> "false"
+  | Node (var, low, high) ->
+      var ^ " ? "
+       ^ "(" ^ (to_string low) ^ ")"
+       ^ ": (" ^ (to_string high) ^ ")"
+
+let ite _ _ _ = False (* TODO *)
+
+let rec neg = function
+  | True -> False
+  | False -> True
+  | Node (var, low, high) -> Node (var, neg low, neg high)
+
+let comb n1 n2 op = match n1, n2 with
+  | Node (v1, l1, h1), Node (v2, l2, h2) ->
+      Node (v1,
+        Node (v2, op l1 l2, op l1 h2),
+        Node (v2, op h1 l2, op h1 h2))
+  | _ -> failwith "naive blah"
+  (*
+  | Node (v, l, h), _ -> Node (v, op l n2, op h n2)
+  | _, Node (v, l, h) -> Node (v, op n1 l, op n1 h)
+  | _, _ -> op n1 n2*)
+
+let rec conj n1 n2 = match n1, n2 with
+  | True, True -> True
+  | False, _ | _, False -> False
+  | True, x | x, True -> x
+  | _ -> comb n1 n2 conj
+
+let rec disj n1 n2 = match n1, n2 with
+  | True, _ | _, True -> True
+  | False, False -> False
+  | False, x | x, False -> x
+  | _ -> comb n1 n2 disj
+
+let rec imp n1 n2 = match n1, n2 with
+  | False, _ | True, True -> True
+  | True, False -> False
+  | True, _ -> n2
+  | _ -> comb n1 n2 imp
+
+let rec eq n1 n2 = match n1, n2 with
+  | False, False | True, True -> True
+  | True, False | False, True -> False
+  | n1, n2 -> comb n1 n2 eq
+
+let rec of_expr = function
+  | Expr.True -> True
+  | Expr.False -> False
+  | Expr.Var v -> Node (v, True, False)
+  | Expr.Neg e -> neg (of_expr e)
+  | Expr.And (e1, e2) -> conj (of_expr e1) (of_expr e2)
+  | Expr.Or (e1, e2) -> disj (of_expr e1) (of_expr e2)
+  | Expr.Imp (e1, e2) -> imp (of_expr e1) (of_expr e2)
+  | Expr.Eq (e1, e2) -> eq (of_expr e1) (of_expr e2)
+
+let compute tbl =
+  let rec compute_aux = function
+  | False -> False
+  | True -> True
+  | Node (v, l, h) -> ( match Hashtbl.find tbl v with
+    | exception Not_found ->
+        failwith ("truth value of " ^ v ^ " is missing")
+    | true -> compute_aux l
+    | false -> compute_aux h
+  )
+  in compute_aux
+
+let to_expr = function
+  | False -> Expr.False
+  | _ -> failwith "TODO"
+
+let of_string s = of_expr (Expr_utils.from_string s)
+
+let var_of_string s = s

src/bench.ml

@@ -0,0 +1,53 @@
+module Make (M: Bdd.S) = struct
+
+  module M = Bdd.Make(M)
+
+  let bench_one tbl expr =
+    let start = Unix.gettimeofday () in
+    let bdd = M.of_expr expr in
+    ignore (M.compute tbl bdd);
+    let stop = Unix.gettimeofday () in
+    stop -. start
+
+  let bench_n n tbl expr =
+    let sum = ref 0. in
+    for _ = 0 to n do
+      sum := !sum +. (bench_one tbl expr)
+    done;
+    !sum
+
+  let bench_n_print n s tbl expr =
+    Printf.printf "bench %s %.2f\n" s (bench_n n tbl expr)
+
+end
+
+let _ =
+
+  let f = ref None in
+  let e = ref None in
+
+  Arg.parse [
+    ("-f", Arg.String (fun s -> f := Some s), "file");
+    ("-e", Arg.String (fun s -> e := Some s), "expression");
+  ] (fun _ -> ()) "Bdd test";
+
+  let expr = match !e, !f with
+  | Some _, Some _ -> raise (Arg.Bad "file or expression, not both...")
+  | Some e, _ -> Expr_utils.from_string e
+  | _, Some f -> Expr_utils.from_file f
+  | None, None -> raise (Arg.Bad "file or expression needed")
+  in
+
+  let tbl = Hashtbl.create 512 in
+  Hashtbl.add tbl "x" false;
+  Hashtbl.add tbl "y" true;
+
+  let n = 5 in
+
+  let module B1 = Make(Bdd_naive) in
+  let module B2 = Make(Bdd_hashcons) in
+  let module B3 = Make(Bdd_hashcons_memo) in
+
+  B3.bench_n_print n "hashcons + memo:" tbl expr;
+  B2.bench_n_print n "hashcons:       " tbl expr;
+  B1.bench_n_print n "naïve:          " tbl expr;

src/dune

@@ -0,0 +1,21 @@
+(executable
+  (name bench)
+  (libraries unix bdd)
+  (modules bench))
+
+(executable
+  (name test)
+  (modules test)
+  (libraries bdd))
+
+(library
+  (name bdd)
+  (modules bdd bdd_naive bdd_hashcons_common bdd_hashcons bdd_hashcons_memo expr expr_utils expr_parser expr_lexer hashcons utils memo)
+  (wrapped false))
+
+(ocamllex
+  (modules expr_lexer))
+
+(menhir
+  (modules expr_parser)
+  (flags ("--explain" "--dump")))

src/expr.ml

@@ -0,0 +1,11 @@
+type var = string
+
+type t =
+  | True
+  | False
+  | Var of var
+  | Neg of t
+  | And of t * t
+  | Or of t * t
+  | Imp of t * t
+  | Eq of t * t

src/expr_lexer.mll

@@ -0,0 +1,67 @@
+{
+  open Expr_parser
+
+  exception Error of string
+
+  let current_line = ref 1
+  let current_offset = ref 1
+  let total_offset = ref 1
+
+  let mem_new_line = ref []
+
+  (* TODO: add something that remembers at which offset each new_line_met () occured, so we will be able to find the line of a syntax error (and typecheck error) without having to change a lot our AST *)
+
+  let get_mem_new_line () = List.rev (!mem_new_line)
+
+  let new_line_met () =
+    total_offset := !total_offset + 1;
+    mem_new_line := (!total_offset)::(!mem_new_line);
+    current_line := !current_line + 1;
+    current_offset := 0
+
+  let incr_offset x =
+    total_offset := !total_offset + x;
+    current_offset := !current_offset + x
+
+}
+
+let alpha     = ['a'-'z' 'A'-'Z']
+let newline   = ['\n' '\r']
+let blank     = [' ' '\t']
+let digit     = ['0'-'9']
+let int       = digit+
+let ident     = alpha (alpha|digit|'_')*
+
+rule token = parse
+
+| newline   { new_line_met (); token lexbuf }
+| blank     { incr_offset 1; token lexbuf }
+
+| "/*" { comment lexbuf; token lexbuf }
+
+| '0' { incr_offset 1; FALSE }
+| '1'  { incr_offset 1; TRUE }
+
+| '(' { incr_offset 1; LPAR }
+| ')' { incr_offset 1; RPAR }
+
+| '!' { incr_offset 1; NOT }
+
+| "&&" { incr_offset 2; AND }
+| "||" { incr_offset 2; OR }
+| "=>" { incr_offset 2; IMP }
+| "<=>" { incr_offset 3; EQ }
+
+| ident as i    {
+  incr_offset (String.length i);
+  VAR i
+}
+| eof { EOF }
+
+| _ { raise (Error (Printf.sprintf "Line %d, at offset %d: unexpected character." (!current_line) (!current_offset))) }
+
+and comment = parse
+  | "*/"      { incr_offset 2; () }
+  | newline   { new_line_met (); comment lexbuf }
+  | _         { incr_offset 1; comment lexbuf }
+  | eof       { failwith ("Unterminated comment at line " ^ (string_of_int (!current_line)) ^ " at offset " ^ (string_of_int (!current_offset)) ^ ".") }

src/expr_parser.mly

@@ -0,0 +1,38 @@
+%{
+  open Expr
+%}
+
+%token EOF
+%token TRUE FALSE
+%token <string> VAR
+%token NOT
+%token AND OR
+%token IMP EQ
+
+%token LPAR RPAR
+
+%left EQ
+%left IMP
+%left OR
+%left AND
+%left NOT
+
+%start <Expr.t> expr_final
+
+%%
+expr_final:
+| e = expr EOF { e }
+
+expr:
+| e = par(expr) { e }
+| TRUE { True }
+| FALSE { False }
+| id = VAR { Var id }
+| NOT e = expr { Neg e }
+| e1 = expr AND e2 = expr { And (e1, e2) }
+| e1 = expr OR e2 = expr { Or (e1, e2) }
+| e1 = expr IMP e2 = expr { Imp (e1, e2) }
+| e1 = expr EQ e2 = expr { Eq (e1, e2) }
+
+par(X):
+| x = delimited(LPAR, X, RPAR) { x }

src/expr_utils.ml

@@ -0,0 +1,26 @@
+exception Stop
+
+let from_lexing buf =
+
+  match Expr_parser.expr_final Expr_lexer.token buf with
+  | exception Expr_lexer.Error msg -> failwith ("lexer: " ^ msg)
+  | exception _ ->
+    let err_pos = Lexing.lexeme_start buf in
+    let err_line, line_offset = ref 1, ref 0 in
+    ( try List.iter (fun x -> if x > err_pos then raise Stop; incr err_line; line_offset := x) (Expr_lexer.get_mem_new_line ())
+    with | Stop -> ());
+    failwith (Printf.sprintf "parser: On line %d, at offset %d, syntax error." (!err_line) (err_pos - !line_offset))
+  | res -> res
+
+let from_file f =
+
+  let chan = open_in f in
+  let buf = Lexing.from_channel chan in
+  let res = from_lexing buf in
+  close_in chan;
+  res
+
+let from_string s =
+
+  let buf = Lexing.from_string s in
+  from_lexing buf

src/hashcons.ml

@@ -0,0 +1,51 @@
+type 'a hash_consed = {
+  node: 'a;
+  tag: int;
+  hkey: int;
+}
+
+module type S = sig
+  type key
+  type t
+  val create: int -> t
+  val clear: t -> unit
+  val hashcons: t -> key -> key hash_consed
+  val memo: ((key hash_consed -> 'a) -> key hash_consed -> 'a) -> key hash_consed -> 'a
+  val memo2: ((key hash_consed -> key hash_consed -> 'a) -> key hash_consed -> key hash_consed -> 'a) -> key hash_consed -> key hash_consed -> 'a
+end
+
+module Make(H : Hashtbl.HashedType) : (S with type key = H.t) = struct
+
+  type key = H.t
+  type data = key hash_consed
+
+  module E = Ephemeron.K1.Make(struct
+    type t = data
+    let equal = (=)
+    let hash = Hashtbl.hash
+  end)
+
+  type t = data E.t
+
+  let create = E.create
+  let clear = E.clear
+
+  let hashcons t d =
+    let hkey = H.hash d in
+    let hnode = {
+      hkey = hkey;
+      tag = Utils.gen_tag ();
+      node = d
+    } in
+    E.add t hnode hnode;
+    hnode
+
+  module M = Memo.Make(struct
+    type t = H.t hash_consed
+    let equal = (==)
+    let hash b = b.tag
+  end)
+
+  let memo = M.memo
+  let memo2 = M.memo2
+end

src/memo.ml

@@ -0,0 +1,35 @@
+module type S = sig
+  type t
+  val memo: ((t -> 'a) -> t -> 'a) -> t -> 'a
+  val memo2: ((t -> t -> 'a) -> t -> t -> 'a) -> t -> t -> 'a
+end
+
+module Make (H: Hashtbl.HashedType): (S with type t = H.t) = struct
+  type t = H.t
+  module Hash = Hashtbl.Make(H)
+  let memo ff =
+    let tbl = Hash.create 512 in
+    let rec f k = match Hash.find tbl k with
+    | exception Not_found ->
+        let v = ff f k in
+        Hash.add tbl k v;
+        v
+    | v -> v
+    in
+    f
+  module Hash2 = Hashtbl.Make(struct
+    type t = H.t * H.t
+    let equal (x1, y1) (x2, y2) = H.equal x1 x2 && H.equal y1 y2
+    let hash (x, y) = 19 * (H.hash x) + (H.hash y)
+  end)
+  let memo2 ff =
+    let tbl = Hash2.create 512 in
+    let rec f k1 k2 = match Hash2.find tbl (k1, k2) with
+    | exception Not_found ->
+        let v = ff f k1 k2 in
+        Hash2.add tbl (k1, k2) v;
+        v
+    | v -> v
+    in
+    f
+end

src/test.ml

@@ -0,0 +1,92 @@
+module Make (M: Bdd.S) = struct
+
+  module M = Bdd.Make(M)
+
+  let test () =
+    let tbl = Hashtbl.create 32 in
+    Hashtbl.add tbl (M.var_of_string "t") true;
+    Hashtbl.add tbl (M.var_of_string "f") false;
+
+    let compute x = M.compute tbl (M.of_string x) in
+    let check =
+      let count = ref 0 in
+      fun expected res ->
+        incr count;
+        if (M.to_string res) <> expected then
+          failwith ("got: " ^ (M.to_string res) ^
+                  ", expected: " ^ expected)
+        else Printf.printf "test %d OK\n" (!count)
+    in
+
+    let check_true x = check "true" (compute x) in
+    let check_false x = check "false" (compute x) in
+
+    let f = [
+      "0";
+      "!1";
+      "0 && 0";
+      "0 && 1";
+      "1 && 0";
+      "0 || 0";
+      "f";
+      "f && f";
+      "f && t";
+      "f || f";
+      "1 => 0";
+      "t => f";
+      " 0 <=> 1";
+      " 1 <=> 0";
+      " f <=> t";
+      " t <=> f";
+    ] in
+
+    let t = [
+      "1";
+      "!0";
+      "1 && 1";
+      "1 || 0";
+      "0 || 1";
+      "1 || 1";
+      "t";
+      "t && t";
+      "t || f";
+      "f || t";
+      "t || t";
+      "0 => 1";
+      "0 => 1";
+      "1 => 1";
+      "f => f";
+      "f => t";
+      "t => t";
+      "0 <=> 0";
+      "1 <=> 1";
+      "f <=> f";
+      "t <=> t";
+    ] in
+
+    List.iter check_false f;
+    List.iter check_true t;
+    List.iter (fun el -> check_true ("!(" ^ el ^ ")")) f;
+    List.iter (fun el -> check_false ("!(" ^ el ^ ")")) t;
+    List.iter (fun el -> check_false ("!!(" ^ el ^ ")")) f;
+    List.iter (fun el -> check_true ("!!(" ^ el ^ ")")) t;
+    List.iter (fun f ->
+      List.iter (fun t ->
+        check_true ("(" ^ f ^ ") || (" ^ t ^ ")");
+        check_false ("(" ^ f ^ ") && (" ^ t ^ ")");
+      ) t
+    ) f;
+
+    ()
+
+end
+
+let _ =
+
+  let module T1 = Make(Bdd_naive) in
+  let module T2 = Make(Bdd_hashcons) in
+  let module T3 = Make(Bdd_hashcons_memo) in
+
+  T1.test ();
+  T2.test ();
+  T3.test ()

src/utils.ml

@@ -0,0 +1,3 @@
+let gen_tag =
+  let count = ref (-1) in
+  fun () -> (incr count; !count)

tests/test.txt

@@ -0,0 +1,667 @@
+(0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+
+
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))
+&& (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1
+&& (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x
+&& y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y))) && (0 || (x && y) || (1 && (x || y)))

tests/test2.txt

@@ -0,0 +1,36 @@
+   (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))
+&& (!(((!(x && y)) || (!(x || y)))
+&& (!((!(x && y)) || (!(x || y))))))