(* (c) Copyright 2006-2018 Microsoft Corporation and Inria.                  *)
(* Distributed under the terms of CeCILL-B.                                  *)
From mathcomp Require Import ssreflect ssrfun ssrbool ssrnat ssrint.
From fourcolor Require Import part hubcap present.

(******************************************************************************)
(*   This file contains the unavoidability proof for cartwheels with a hub    *)
(* arity of 7. This proof is distilled from the supporting data for the       *)
(* Robertson et al. revised proof.                                            *)
(******************************************************************************)

Set Implicit Arguments.
Unset Strict Implicit.
Unset Printing Implicit Defensive.

Lemma exclude7 : excluded_arity 7.
Proof.
Presentation red.
Pcase L0_1: s[1] <= 5.
  Pcase L1_1: s[2] <= 5.
    Pcase L2_1: s[3] <= 5.
      Pcase: s[4] <= 5.
        Reducible.
      Pcase: s[7] <= 5.
        Reducible.
      Pcase L3_1: s[4] > 6.
        Pcase: s[7] > 6.
          Pcase: h[6] <= 5.
            Pcase L6_1: s[5] > 7.
              Pcase: s[4] > 7.
                Hubcap $[2]<=5 $[4]<=(-2) $[5]<=0 $[1,3]<=7 $[6,7]<=0 $.
              Pcase: s[6] > 5.
                Hubcap $[1]<=4 $[2]<=5 $[5]<=0 $[6]<=0 $[7]<=(-1) $[3,4]<=2 $.
              Hubcap $[1]<=4 $[2]<=5 $[5]<=0 $[6]<=2 $[7]<=(-3) $[3,4]<=2 $.
            Pcase: s[6] > 7.
              Similar to *L6_1[4].
            Pcase L6_2: s[4] > 7.
              Pcase L7_1: s[4] > 8.
                Pcase L8_1: s[5] > 5.
                  Pcase: s[5] <= 6.
                    Hubcap $[2]<=5 $[4]<=(-2) $[5]<=0 $[6]<=1 $[7]<=(-1)
                           $[1,3]<=7 $.
                  Pcase: s[6] > 5.
                    Hubcap $[2]<=5 $[4]<=(-2) $[5]<=1 $[6]<=0 $[7]<=(-1)
                           $[1,3]<=7 $.
                  Hubcap $[2]<=5 $[4]<=(-3) $[5]<=2 $[6]<=2 $[7]<=(-3) $[1,3]<=7
                         $.
                Pcase: s[6] <= 6.
                  Reducible.
                Pcase: s[7] > 8.
                  Similar to *L8_1[4].
                Hubcap $[2]<=5 $[4]<=(-3) $[5]<=2 $[1,3]<=7 $[6,7]<=(-1) $.
              Pcase: s[7] > 8.
                Similar to *L7_1[4].
              Pcase L7_2: s[5] > 5.
                Pcase: s[5] <= 6.
                  Hubcap $[2]<=5 $[4]<=(-2) $[5]<=0 $[6]<=1 $[7]<=(-1) $[1,3]<=7
                         $.
                Pcase: s[6] > 5.
                  Hubcap $[2]<=5 $[4]<=(-2) $[5]<=1 $[6]<=0 $[7]<=(-1) $[1,3]<=7
                         $.
                Hubcap $[2]<=5 $[4]<=(-3) $[5]<=2 $[6]<=2 $[7]<=(-3) $[1,3]<=7
                       $.
              Pcase: s[6] <= 6.
                Reducible.
              Pcase: s[7] > 7.
                Similar to *L7_2[4].
              Pcase: h[7] <= 5.
                Reducible.
              Hubcap $[2]<=5 $[4]<=(-3) $[5]<=2 $[1,3]<=7 $[6,7]<=(-1) $.
            Pcase: s[7] > 7.
              Similar to *L6_2[4].
            Pcase: h[5] <= 5.
              Hubcap $[1]<=4 $[2]<=5 $[5]<=0 $[6]<=0 $[7]<=(-1) $[3,4]<=2 $.
            Pcase: h[7] <= 5.
              Hubcap $[1]<=4 $[2]<=5 $[5]<=0 $[6]<=0 $[7]<=(-1) $[3,4]<=2 $.
            Pcase L6_3: s[5] > 5.
              Pcase: s[5] <= 6.
                Hubcap $[2]<=5 $[5]<=0 $[6]<=1 $[1,7]<=2 $[3,4]<=2 $.
              Pcase: s[6] > 5.
                Hubcap $[2]<=5 $[5]<=1 $[6]<=0 $[1,7]<=2 $[3,4]<=2 $.
              Hubcap $[2]<=5 $[6]<=2 $[7]<=(-3) $[1,3]<=7 $[4,5]<=(-1) $.
            Pcase: s[6] > 5.
              Similar to *L6_3[4].
            Reducible.
          Pcase L5_1: s[5] > 7.
            Pcase: s[4] > 7.
              Hubcap $[2]<=5 $[4]<=(-2) $[5]<=0 $[1,3]<=7 $[6,7]<=0 $.
            Pcase: s[6] > 5.
              Hubcap $[1]<=4 $[2]<=5 $[5]<=0 $[6]<=0 $[7]<=(-1) $[3,4]<=2 $.
            Hubcap $[1]<=4 $[2]<=5 $[5]<=0 $[6]<=2 $[7]<=(-3) $[3,4]<=2 $.
          Pcase: s[6] > 7.
            Similar to *L5_1[4].
          Pcase L5_2: s[5] > 5.
            Pcase: s[6] > 6.
              Hubcap $[2]<=5 $[5]<=0 $[6]<=1 $[1,7]<=2 $[3,4]<=2 $.
            Pcase: s[6] > 5.
              Pcase: s[5] > 6.
                Hubcap $[2]<=5 $[5]<=1 $[6]<=0 $[1,7]<=2 $[3,4]<=2 $.
              Pcase: h[6] > 6.
                Hubcap $[1]<=4 $[2]<=5 $[5]<=0 $[6]<=0 $[7]<=(-1) $[3,4]<=2 $.
              Pcase: f1[5] > 6.
                Hubcap $[2]<=5 $[6]<=0 $[1,3]<=7 $[1,7]<=2 $[3,4]<=2 $[4,5]<=0
                       $[5,7]<=0 $.
              Pcase: f1[5] <= 5.
                Hubcap $[2]<=5 $[5]<=0 $[7]<=(-2) $[1,3]<=7 $[4,6]<=0 $.
              Pcase: s[4] <= 7.
                Hubcap $[2]<=5 $[6]<=0 $[1,3]<=7 $[1,7]<=2 $[3,4]<=2 $[4,5]<=0
                       $[5,7]<=0 $.
              Pcase: s[7] > 7.
                Hubcap $[2]<=5 $[4]<=(-2) $[7]<=(-2) $[1,3]<=7 $[5,6]<=2 $.
              Hubcap $[2]<=5 $[4]<=(-2) $[7]<=(-1) $[1,3]<=7 $[5,6]<=1 $.
            Pcase: s[5] <= 6.
              Hubcap $[2]<=5 $[4]<=(-3) $[5]<=2 $[6]<=2 $[7]<=(-3) $[1,3]<=7 $.
            Pcase: s[4] > 7.
              Hubcap $[2]<=5 $[4]<=(-2) $[5]<=1 $[6]<=2 $[7]<=(-3) $[1,3]<=7 $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=3 $[2]<=5 $[5]<=1 $[6]<=2 $[7]<=(-3) $[3,4]<=2 $.
            Pcase: h[3] <= 6.
              Reducible.
            Pcase: h[1] <= 5.
              Reducible.
            Pcase: h[4] > 5.
              Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=1 $[6]<=2
                     $[7]<=(-3) $.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=2 $[7]<=(-3)
                   $.
          Pcase: s[6] > 5.
            Similar to *L5_2[4].
          Hubcap $[2]<=5 $[4]<=(-4) $[5]<=3 $[6]<=3 $[7]<=(-4) $[1,3]<=7 $.
        Pcase: s[6] <= 5.
          Reducible.
        Pcase: h[1] <= 5.
          Reducible.
        Pcase: s[5] <= 5.
          Pcase: s[6] <= 6.
            Reducible.
          Hubcap $[4]<=(-3) $[5]<=2 $[6]<=(-2) $[1,3]<=7 $[2,7]<=6 $.
        Pcase: s[6] > 7.
          Hubcap $[1]<=4 $[5]<=0 $[6]<=(-2) $[2,7]<=6 $[3,4]<=2 $.
        Pcase: h[3] <= 5.
          Pcase: h[2] <= 6.
            Reducible.
          Pcase: h[4] <= 5.
            Reducible.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[2]<=5 $[3]<=4 $[4]<=(-2) $[5]<=0 $[6]<=(-1) $[7]<=1
                   $.
          Pcase: h[7] <= 5.
            Reducible.
          Pcase: s[5] > 7.
            Hubcap $[1]<=3 $[2]<=5 $[3]<=4 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                   $.
          Pcase: s[5] <= 6.
            Hubcap $[1]<=3 $[2]<=5 $[3]<=4 $[4]<=(-3) $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: h[6] > 5.
            Hubcap $[1]<=3 $[2]<=5 $[3]<=4 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                   $.
          Hubcap $[1]<=3 $[2]<=5 $[3]<=4 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                 $.
        Pcase: h[3] <= 6.
          Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-2) $[7]<=1 $[5,6]<=1 $.
        Pcase: h[1] <= 6.
          Pcase: h[2] <= 5.
            Reducible.
          Pcase: f1[7] <= 5.
            Reducible.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1) $[7]<=2
                   $.
          Pcase: h[7] <= 5.
            Reducible.
          Pcase: s[5] > 7.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=(-1) $[6]<=0 $[7]<=2
                   $.
          Pcase: s[5] <= 6.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-3) $[5]<=0 $[6]<=0 $[7]<=2 $.
          Pcase: s[4] > 7.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-2) $[5]<=0 $[6]<=0 $[7]<=2 $.
          Pcase: h[2] > 6.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-2) $[5]<=0 $[6]<=0 $[7]<=2 $.
          Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-2) $[5]<=0 $[6]<=0 $[7]<=2 $.
        Pcase: s[6] > 6.
          Pcase: s[4] > 7.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=0 $[6]<=(-1) $[7]<=1
                   $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1) $[7]<=1
                   $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=0 $[6]<=(-1) $[7]<=1
                   $.
          Pcase: f1[4] <= 5.
            Reducible.
          Pcase: h[7] > 5.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-2) $[7]<=1
                   $.
          Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-2) $[7]<=1
                 $.
        Pcase: h[7] <= 5.
          Reducible.
        Pcase: s[5] <= 6.
          Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-3) $[5]<=0 $[6]<=0 $[7]<=1 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1 $.
        Pcase: h[5] <= 5.
          Pcase: s[4] > 7.
            Pcase: s[5] > 7.
              Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0
                     $[7]<=1 $.
            Pcase: h[6] > 5.
              Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0
                     $[7]<=1 $.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                   $.
          Pcase: s[5] <= 7.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                   $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                   $.
          Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                 $.
        Pcase: s[4] > 7.
          Pcase: s[5] > 7.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                   $.
          Pcase: h[6] > 5.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                   $.
          Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                 $.
        Pcase: h[4] > 5.
          Pcase: s[5] > 7.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                   $.
          Pcase: h[6] > 5.
            Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                   $.
          Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                 $.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: s[5] > 7.
          Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                 $.
        Pcase: h[6] > 5.
          Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1
                 $.
        Hubcap $[1]<=4 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=(-1) $[6]<=0 $[7]<=1 $.
      Pcase: s[7] > 6.
        Similar to *L3_1[4].
      Pcase: s[5] <= 5.
        Reducible.
      Pcase: s[6] <= 5.
        Reducible.
      Pcase: h[4] <= 5.
        Reducible.
      Pcase: h[1] <= 5.
        Reducible.
      Pcase L3_2: s[5] > 6.
        Pcase: s[6] <= 6.
          Hubcap $[5]<=(-4) $[6]<=0 $[1,3]<=7 $[2,4]<=6 $[2,7]<=6 $[4,7]<=3 $.
        Pcase L4_1: s[5] > 7.
          Pcase: s[6] > 7.
            Hubcap $[5]<=(-2) $[6]<=(-2) $[1,3]<=7 $[2,4]<=6 $[2,7]<=6 $[4,7]<=3
                   $.
          Pcase: h[7] > 5.
            Hubcap $[5]<=(-2) $[6]<=(-2) $[1,3]<=7 $[2,4]<=6 $[2,7]<=6 $[4,7]<=3
                   $.
          Hubcap $[5]<=(-2) $[6]<=(-2) $[1,3]<=7 $[2,4]<=6 $[2,7]<=6 $[4,7]<=3
                 $.
        Pcase: s[6] > 7.
          Similar to *L4_1[4].
        Pcase L4_2: h[5] > 5.
          Pcase: h[7] > 5.
            Hubcap $[5]<=(-2) $[6]<=(-2) $[1,3]<=7 $[2,4]<=6 $[2,7]<=6 $[4,7]<=3
                   $.
          Hubcap $[5]<=(-2) $[6]<=(-2) $[1,3]<=7 $[2,4]<=6 $[2,7]<=6 $[4,7]<=3
                 $.
        Pcase: h[7] > 5.
          Similar to *L4_2[4].
        Pcase: f1[5] <= 5.
          Reducible.
        Pcase: f2[6] <= 5.
          Reducible.
        Hubcap $[5]<=(-2) $[6]<=(-2) $[1,3]<=7 $[2,4]<=6 $[2,7]<=6 $[4,7]<=3 $.
      Pcase: s[6] > 6.
        Similar to *L3_2[4].
      Reducible.
    Pcase: s[7] <= 5.
      Similar to L2_1[6].
    Pcase L2_2: s[4] <= 5.
      Pcase: s[3] <= 6.
        Reducible.
      Pcase: s[5] > 5.
        Pcase: s[7] <= 6.
          Pcase: s[6] <= 5.
            Reducible.
          Pcase: s[6] <= 6.
            Pcase: s[5] <= 6.
              Reducible.
            Pcase: h[7] <= 5.
              Reducible.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=(-1) $[6]<=0 $[7]<=3
                   $.
          Pcase: s[5] > 7.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=0 $[6]<=(-1) $[7]<=3
                   $.
          Pcase: s[5] > 6.
            Pcase: s[6] > 7.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[6]<=(-2) $[5,7]<=4 $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=4 $[2]<=3 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6]<=(-1)
                     $[7]<=2 $.
            Pcase: h[3] <= 5.
              Reducible.
            Pcase: h[1] <= 5.
              Reducible.
            Pcase: h[5] > 5.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[7]<=3 $[5,6]<=(-1) $.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[6]<=(-2) $[5,7]<=4 $.
          Pcase: s[3] <= 7.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=3 $[6]<=(-3) $[5,7]<=4 $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=4 $[2]<=3 $[3]<=(-2) $[4]<=3 $[5]<=3 $[6]<=(-3) $[7]<=2
                   $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: h[1] <= 5.
            Reducible.
          Pcase: h[4] > 5.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=3 $[6]<=(-3) $[5,7]<=4 $.
          Pcase: h[5] > 5.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6]<=(-3) $[7]<=3
                   $.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=(-3) $[7]<=1
                 $.
        Pcase: s[5] > 8.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=0 $[6,7]<=2 $.
        Pcase: s[6] <= 5.
          Pcase: s[5] > 7.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6]<=2 $[7]<=(-2)
                   $.
          Pcase: s[5] > 6.
            Pcase: h[2] > 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=(-2) $[4]<=2 $[5]<=4 $[6]<=2
                     $[7]<=(-2) $.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6]<=2 $[7]<=(-2)
                   $.
          Pcase: h[2] <= 5.
            Reducible.
          Pcase: h[5] > 5.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=2 $[5]<=4 $[6]<=3 $[7]<=(-3)
                   $.
          Pcase: f1[5] <= 5.
            Reducible.
          Pcase: h[6] > 5.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=4 $[6]<=2 $[7]<=(-3)
                   $.
          Pcase: f1[5] <= 6.
            Reducible.
          Pcase L5_1: s[3] > 7.
            Pcase: h[4] <= 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=(-4) $[4]<=3 $[5]<=5 $[6]<=3
                     $[7]<=(-3) $.
            Pcase: s[7] <= 7.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=4 $[6]<=3
                     $[7]<=(-3) $.
            Pcase: h[7] > 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=4 $[6]<=3
                     $[7]<=(-3) $.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=5 $[6]<=3 $[7]<=(-4)
                   $.
          Pcase: s[7] > 7.
            Similar to *L5_1[5].
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: h[4] <= 6.
            Reducible.
          Pcase: h[7] <= 6.
            Reducible.
          Pcase: h[1] <= 5.
            Reducible.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=4 $[6]<=3 $[7]<=(-3)
                 $.
        Pcase: s[5] > 7.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $.
        Pcase: h[2] > 5.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-2) $[4]<=2 $[6]<=0 $[5,7]<=4 $.
          Pcase: s[6] <= 6.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-2) $[4]<=3 $[7]<=(-2) $[5,6]<=5 $.
          Pcase: s[7] > 7.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-2) $[4]<=3 $[7]<=(-1) $[5,6]<=4 $.
          Pcase: s[3] <= 7.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-2) $[4]<=3 $[5]<=2 $[6,7]<=1 $.
          Pcase: h[2] <= 6.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-2) $[4,7]<=2 $[5,6]<=4 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-2) $[4]<=3 $[5]<=2 $[6,7]<=1 $.
          Pcase: h[5] > 5.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6,7]<=1 $.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6,7]<=1 $.
        Pcase: h[3] <= 5.
          Reducible.
        Pcase: h[1] <= 5.
          Reducible.
        Pcase: s[5] > 6.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[6]<=0 $[5,7]<=2 $.
        Pcase: s[6] <= 6.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=3 $[7]<=(-2) $[5,6]<=3 $.
        Pcase: h[5] > 5.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6,7]<=0 $.
        Pcase: f1[5] <= 5.
          Reducible.
        Pcase: s[6] > 8.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=3 $[5]<=3 $[6]<=(-1)
                 $[7]<=(-1) $.
        Pcase: s[3] <= 7.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=3 $[5]<=2 $[6]<=0 $[7]<=(-1)
                 $.
        Pcase: h[4] > 5.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=3 $[5]<=2 $[6]<=0 $[7]<=(-1)
                 $.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=0 $[7]<=(-1) $.
      Pcase: s[6] <= 5.
        Similar to L2_1[3].
      Pcase L3_1: s[6] > 6.
        Pcase: s[7] <= 6.
          Pcase: h[2] > 5.
            Hubcap $[2]<=3 $[3]<=(-3) $[5]<=4 $[6]<=(-3) $[7]<=2 $[1,4]<=7 $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: h[1] <= 5.
            Reducible.
          Pcase: h[5] <= 5.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-4) $[4]<=4 $[5]<=4 $[6]<=(-3) $[7]<=1
                   $.
          Pcase: h[1] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=(-3) $[7]<=1
                   $.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=(-4) $[7]<=3
                 $.
        Pcase L4_1: h[2] > 5.
          Pcase: h[4] <= 5.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6,7]<=1 $.
          Pcase: h[5] > 5.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6,7]<=1 $.
          Pcase: h[6] <= 5.
            Reducible.
          Pcase: s[6] > 7.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=4 $[5]<=4 $[6]<=(-1) $[7]<=0
                   $.
          Pcase: h[6] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=4 $[5]<=4 $[6]<=(-1) $[7]<=0
                   $.
          Pcase: f1[6] > 5.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=4 $[5]<=4 $[6]<=(-1)
                   $[7]<=(-1) $.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=4 $[5]<=4 $[6]<=1 $[7]<=(-2)
                 $.
        Pcase: h[5] > 5.
          Similar to *L4_1[2].
        Pcase: h[3] <= 5.
          Reducible.
        Pcase: h[4] <= 5.
          Reducible.
        Pcase: h[6] <= 5.
          Reducible.
        Pcase: h[1] <= 5.
          Reducible.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-4) $[4]<=4 $[5]<=4 $[6]<=(-1) $[7]<=(-1)
               $.
      Pcase: s[7] > 6.
        Similar to *L3_1[2].
      Reducible.
    Pcase: s[6] <= 5.
      Similar to *L2_2[5].
    Pcase: s[5] <= 5.
      Pcase L3_1: s[3] > 6.
        Pcase: s[7] > 6.
          Pcase L5_1: s[4] <= 6.
            Pcase: h[2] <= 5.
              Pcase: h[3] <= 5.
                Reducible.
              Pcase: h[1] <= 5.
                Reducible.
              Pcase: s[6] <= 6.
                Pcase: h[5] > 6.
                  Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=1 $[5]<=3 $[6]<=2
                         $[7]<=(-2) $.
                Pcase: h[5] <= 5.
                  Hubcap $[1]<=4 $[2]<=4 $[3]<=(-3) $[4]<=2 $[5]<=3 $[6]<=2
                         $[7]<=(-2) $.
                Pcase: f1[4] <= 5.
                  Reducible.
                Pcase: h[6] > 5.
                  Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=1 $[5]<=2 $[6]<=1
                         $[7]<=(-2) $.
                Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=3 $[6]<=2
                       $[7]<=(-3) $.
              Pcase: h[5] > 6.
                Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=1 $[5]<=2 $[6,7]<=1 $.
              Pcase: f1[4] <= 5.
                Reducible.
              Pcase: h[5] > 5.
                Pcase: s[6] > 7.
                  Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[5]<=2 $[6]<=0 $[4,7]<=2 $.
                Pcase: h[6] > 5.
                  Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=1 $[5]<=2 $[6,7]<=1 $.
                Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6]<=2
                       $[7]<=(-2) $.
              Pcase: s[6] > 7.
                Hubcap $[1]<=4 $[2]<=4 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=0
                       $[7]<=(-1) $.
              Pcase: h[6] > 5.
                Hubcap $[1]<=4 $[2]<=4 $[3]<=(-3) $[4]<=2 $[5]<=3 $[6]<=1
                       $[7]<=(-1) $.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=1
                     $[7]<=(-2) $.
            Pcase: s[6] > 6.
              Pcase: h[5] > 5.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6,7]<=2 $.
              Pcase: f1[4] <= 5.
                Reducible.
              Pcase: s[6] <= 7.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6,7]<=1 $.
              Pcase: s[7] > 7.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=0
                       $[7]<=(-1) $.
              Pcase: h[2] <= 6.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=0
                       $[7]<=(-1) $.
              Pcase: h[6] > 5.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=2 $[5]<=3 $[6]<=0
                       $[7]<=2 $.
              Pcase: h[7] > 6.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=0
                       $[7]<=1 $.
              Pcase: h[7] <= 5.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=0
                       $[7]<=1 $.
              Pcase: h[1] > 5.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=0
                       $[7]<=(-1) $.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=(-1)
                     $[7]<=2 $.
            Pcase: h[5] > 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=(-2) $[4]<=2 $[5]<=3 $[6]<=2
                     $[7]<=(-2) $.
            Pcase: f1[4] <= 5.
              Reducible.
            Pcase: h[6] > 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=2 $[5]<=3 $[6]<=2
                     $[7]<=(-2) $.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=(-3) $[4]<=3 $[5]<=4 $[6]<=3 $[7]<=(-3)
                   $.
          Pcase: s[6] <= 6.
            Similar to *L5_1[5].
          Pcase L5_2: s[4] > 7.
            Pcase: s[6] > 7.
              Pcase: s[3] > 7.
                Hubcap $[1]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6]<=0 $[2,7]<=5 $.
              Pcase: s[7] > 7.
                Hubcap $[1]<=4 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=(-1) $[2,3]<=5 $.
              Pcase: h[2] <= 6.
                Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=0 $[3,7]<=0 $.
              Pcase: h[3] > 5.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=2
                       $.
              Pcase: h[4] > 6.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=(-1) $[5]<=2 $[6]<=0
                       $[7]<=2 $.
              Pcase: h[4] <= 5.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=(-1) $[5]<=2 $[6]<=0
                       $[7]<=2 $.
              Pcase: h[7] > 6.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=(-1) $[5]<=2 $[6]<=0
                       $[7]<=1 $.
              Pcase: h[7] <= 5.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=(-1) $[5]<=2 $[6]<=0
                       $[7]<=1 $.
              Pcase: h[1] > 5.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=(-1) $[5]<=2 $[6]<=0
                       $[7]<=0 $.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=(-1) $[5]<=2 $[6]<=(-1)
                     $[7]<=2 $.
            Pcase: s[3] > 7.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=1 $.
            Pcase: h[3] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=1 $.
            Pcase: h[3] <= 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=(-1) $[5]<=2 $[6,7]<=1 $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=2 $[6,7]<=1 $.
            Pcase: h[1] <= 5.
              Reducible.
            Pcase: h[6] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=0 $[3,7]<=0 $.
            Pcase: h[6] <= 5.
              Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[7]<=(-2) $[3,6]<=2 $.
            Pcase: s[7] > 7.
              Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[7]<=(-1) $[3,6]<=1 $.
            Pcase: h[5] <= 5.
              Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[7]<=(-1) $[3,6]<=1 $.
            Pcase: h[7] <= 5.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=1 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=(-1)
                     $.
            Pcase: h[1] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[7]<=(-1) $[3,6]<=1 $.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=0 $[3,7]<=0 $.
          Pcase: s[6] > 7.
            Similar to *L5_2[5].
          Pcase: h[2] > 5.
            Hubcap $[1]<=3 $[2]<=3 $[5]<=2 $[3,4]<=1 $[6,7]<=1 $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: h[1] <= 5.
            Reducible.
          Pcase L5_3: h[5] <= 5.
            Pcase: h[6] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[5]<=2 $[6]<=0 $[4,7]<=2 $.
            Pcase: h[6] <= 5.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6]<=2
                     $[7]<=(-2) $.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6]<=1 $[7]<=(-1)
                   $.
          Pcase: h[6] <= 5.
            Similar to *L5_3[5].
          Pcase L5_4: h[4] <= 5.
            Pcase: s[3] <= 7.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=1 $.
            Pcase: s[7] > 7.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[5]<=2 $[6]<=1
                     $[7]<=(-1) $.
            Pcase: h[5] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=1 $.
            Pcase: h[6] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[5]<=2 $[6]<=0 $[4,7]<=1 $.
            Pcase: h[7] <= 5.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[5]<=2 $[6]<=0
                     $[7]<=(-1) $.
            Pcase: h[1] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[5]<=2 $[6]<=1
                     $[7]<=(-1) $.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[5]<=2 $[6]<=0 $[4,7]<=1 $.
          Pcase: h[7] <= 5.
            Similar to *L5_4[5].
          Pcase: f1[4] <= 5.
            Pcase: s[3] > 7.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=1 $.
            Pcase: s[7] > 7.
              Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[7]<=(-1) $[3,6]<=1 $.
            Pcase: h[3] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=1 $.
            Pcase: h[4] <= 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=1 $.
            Pcase: h[6] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=0 $[3,7]<=0 $.
            Pcase: h[1] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[7]<=(-1) $[3,6]<=1 $.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=0 $[3,7]<=0 $.
          Pcase: f2[6] <= 5.
            Pcase: s[3] > 7.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[5]<=2 $[6]<=0 $[4,7]<=1 $.
            Pcase: s[7] > 7.
              Hubcap $[1]<=4 $[2]<=4 $[5]<=2 $[6]<=0 $[7]<=(-1) $[3,4]<=1 $.
            Pcase: h[3] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[5]<=2 $[6]<=0 $[4,7]<=1 $.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=0 $[3,7]<=0 $.
          Pcase L5_5: s[3] > 7.
            Pcase: s[7] > 7.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[5]<=2 $[6]<=1
                     $[7]<=(-1) $.
            Pcase: h[5] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=1 $.
            Pcase: h[6] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[5]<=2 $[6]<=0 $[4,7]<=1 $.
            Pcase: h[1] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[5]<=2 $[6]<=1
                     $[7]<=(-1) $.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[5]<=2 $[6]<=0 $[4,7]<=1 $.
          Pcase: s[7] > 7.
            Similar to *L5_5[5].
          Pcase L5_6: h[3] > 6.
            Pcase: h[5] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=1 $.
            Pcase: h[6] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[5]<=2 $[6]<=0 $[4,7]<=1 $.
            Pcase: h[1] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[5]<=2 $[6]<=1
                     $[7]<=(-1) $.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[5]<=2 $[6]<=0 $[4,7]<=1 $.
          Pcase: h[1] > 6.
            Similar to *L5_6[5].
          Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=0 $[3,7]<=0 $.
        Pcase: s[6] <= 6.
          Reducible.
        Pcase: s[4] > 6.
          Pcase: s[4] > 7.
            Pcase: s[3] > 7.
              Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6]<=(-2)
                     $[7]<=3 $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=4 $[2]<=3 $[4]<=0 $[5]<=2 $[6]<=(-2) $[3,7]<=3 $.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=(-2) $[3,7]<=2 $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=4 $[2]<=3 $[5]<=2 $[6]<=(-2) $[7]<=2 $[3,4]<=1 $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: h[1] <= 5.
            Reducible.
          Pcase: h[5] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=(-2) $[3,7]<=2 $.
          Pcase: h[5] <= 5.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[5]<=2 $[6]<=(-2) $[4,7]<=4 $.
          Pcase: s[3] > 7.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[5]<=2 $[6]<=(-2) $[4,7]<=3 $.
          Pcase: h[3] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[5]<=2 $[6]<=(-2) $[4,7]<=3 $.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=(-2) $[3,7]<=2 $.
        Pcase: h[5] > 5.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-2) $[5]<=2 $[6]<=(-2) $[4,7]<=4 $.
        Hubcap $[1]<=4 $[3]<=(-3) $[4]<=3 $[5]<=3 $[6]<=(-2) $[2,7]<=5 $.
      Pcase: s[7] > 6.
        Similar to *L3_1[5].
      Pcase: s[4] <= 6.
        Reducible.
      Pcase: s[6] <= 6.
        Reducible.
      Hubcap $[1]<=4 $[2]<=4 $[4]<=(-2) $[5]<=2 $[6]<=(-2) $[3,7]<=4 $.
    Pcase L2_3: s[3] <= 6.
      Pcase L3_1: s[4] > 6.
        Pcase: s[7] > 6.
          Pcase: s[5] > 7.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=(-1) $[5]<=0 $[6]<=0 $[3,7]<=3 $.
          Pcase: s[6] > 7.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=(-1) $[5]<=0 $[6]<=0 $[3,7]<=3 $.
          Pcase: h[6] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=(-1) $[5]<=0 $[6]<=0 $[3,7]<=3 $.
          Pcase: h[2] > 5.
            Pcase: s[4] > 7.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=(-2) $[5,6]<=3 $[5,7]<=2
                     $[6,7]<=2 $.
            Pcase: s[5] > 6.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=(-1) $[6]<=0 $[5,7]<=2 $.
            Pcase: h[5] <= 5.
              Reducible.
            Pcase: s[6] > 6.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=(-1) $[5]<=0 $[6,7]<=2 $.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4,5]<=0 $[6,7]<=1 $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: h[1] <= 5.
            Reducible.
          Pcase: s[5] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[6]<=0 $[3,7]<=2 $[4,5]<=0 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[5]<=0 $[3,7]<=2 $[4,6]<=0 $.
          Pcase: h[6] <= 5.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=1 $[4]<=(-1) $[7]<=(-1) $[5,6]<=3 $.
          Pcase: s[7] <= 7.
            Hubcap $[1]<=4 $[2]<=4 $[3,7]<=2 $[4,5]<=(-1) $[4,6]<=0 $[5,6]<=2 $.
          Pcase: s[4] > 7.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=3 $[4]<=(-2) $[7]<=(-1) $[5,6]<=2 $.
          Pcase: h[5] <= 5.
            Reducible.
          Pcase: h[3] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=1 $[4]<=(-1) $[5]<=2 $[6]<=1 $[7]<=(-1)
                   $.
          Pcase: f1[3] <= 5.
            Reducible.
          Pcase: h[4] > 5.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=3 $[4]<=(-2) $[7]<=(-1) $[5,6]<=2 $.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=3 $[4]<=(-1) $[7]<=(-1) $[5,6]<=1 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=(-1) $[5]<=0 $[6]<=(-1) $[3,7]<=4 $.
        Pcase: h[7] <= 5.
          Reducible.
        Pcase: s[5] > 7.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=(-1) $[5]<=(-1) $[6]<=0 $[3,7]<=4 $.
        Pcase: s[5] <= 6.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=(-2) $[5]<=0 $[6]<=0 $[3,7]<=4 $.
        Pcase: s[4] > 7.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=(-2) $[5]<=0 $[6]<=0 $[3,7]<=4 $.
        Pcase: h[4] > 5.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=(-2) $[5]<=0 $[6]<=0 $[3,7]<=4 $.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: h[6] > 5.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=(-1) $[5]<=(-1) $[6]<=0 $[3,7]<=4 $.
        Hubcap $[1]<=4 $[2]<=4 $[4]<=(-1) $[5]<=(-1) $[6]<=0 $[3,7]<=4 $.
      Pcase: h[4] <= 5.
        Reducible.
      Pcase: s[5] > 6.
        Pcase: s[7] > 7.
          Pcase: s[5] > 7.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=3 $[4]<=0 $[5]<=(-1) $[6]<=0 $[7]<=(-1)
                   $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=(-1) $.
          Pcase: h[6] <= 5.
            Reducible.
          Pcase: h[2] > 5.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=0 $[5]<=1 $[6]<=0 $[7]<=(-1) $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: h[1] <= 5.
            Reducible.
          Pcase: h[3] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=1 $[4]<=0 $[5]<=1 $[6]<=0 $[7]<=(-1) $.
          Pcase: f1[3] <= 5.
            Reducible.
          Pcase: h[5] > 5.
            Hubcap $[1]<=4 $[2]<=4 $[3]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=(-1) $.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=(-1) $.
        Pcase: s[5] > 7.
          Pcase: s[7] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=(-1) $[6]<=0 $[3,7]<=3 $.
          Pcase: s[6] > 6.
            Similar to *L3_1[5].
          Pcase: h[7] <= 5.
            Reducible.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=(-2) $[6]<=0 $[3,7]<=4 $.
        Pcase L4_1: h[5] > 5.
          Pcase: s[6] > 7.
            Pcase: s[7] <= 6.
              Similar to *L3_1[5].
            Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=(-1) $[6]<=0 $[3,7]<=3 $.
          Pcase: s[7] > 6.
            Pcase: s[6] > 6.
              Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=(-1) $[6]<=0 $[3,7]<=3 $.
            Pcase: h[6] <= 5.
              Reducible.
            Pcase: h[2] > 5.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=1 $.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=0 $[6]<=0 $[3,7]<=2 $.
          Pcase: s[6] > 6.
            Similar to *L3_1[5].
          Pcase: h[6] <= 5.
            Reducible.
          Pcase: h[7] <= 5.
            Reducible.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=(-2) $[6]<=0 $[3,7]<=4 $.
        Pcase: f1[5] <= 5.
          Reducible.
        Pcase: s[6] > 7.
          Pcase: s[7] <= 6.
            Similar to *L3_1[5].
          Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=(-1) $[6]<=0 $[3,7]<=3 $.
        Pcase: s[7] > 6.
          Pcase: s[6] > 6.
            Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=(-1) $[6]<=0 $[3,7]<=3 $.
          Pcase: h[6] <= 5.
            Reducible.
          Pcase: h[2] > 5.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=1 $.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=(-1) $.
        Pcase: s[6] > 6.
          Similar to *L3_1[5].
        Pcase: h[6] > 5.
          Similar to *L4_1[5].
        Reducible.
      Pcase: h[5] <= 5.
        Reducible.
      Pcase: s[7] > 6.
        Pcase: h[3] <= 5.
          Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=0 $[5]<=0 $[6,7]<=1 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=0 $[6,7]<=2 $.
        Pcase: h[1] <= 5.
          Reducible.
        Pcase: s[6] > 7.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=0 $[6]<=0 $[3,7]<=2 $.
        Pcase: s[6] <= 6.
          Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=0 $[6]<=0 $[3,7]<=2 $.
        Pcase: h[3] > 6.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=1 $[4]<=0 $[5]<=0 $[6,7]<=1 $.
        Pcase: f1[3] <= 5.
          Reducible.
        Pcase: h[6] > 5.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=(-1) $.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=(-1) $.
      Pcase: s[6] > 6.
        Similar to *L3_1[5].
      Reducible.
    Pcase: s[7] <= 6.
      Similar to *L2_3[5].
    Pcase: s[5] > 7.
      Hubcap $[4]<=0 $[5]<=0 $[6]<=0 $[1,3]<=5 $[2,7]<=5 $.
    Pcase: h[2] > 5.
      Pcase L3_1: s[3] > 7.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4]<=2 $[5,6]<=3 $[5,7]<=2
                 $[6,7]<=2 $.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4]<=0 $[6]<=0 $[5,7]<=4 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4,5]<=3 $[6,7]<=2 $.
        Pcase: s[7] > 7.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4]<=2 $[7]<=(-1) $[5,6]<=4 $.
        Pcase: h[5] > 5.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4,5]<=3 $[6,7]<=1 $.
        Pcase: h[1] <= 5.
          Reducible.
        Pcase: h[6] > 5.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4,5]<=3 $[6,7]<=2 $.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4]<=1 $[5]<=3 $[6]<=1 $[7]<=(-1) $.
      Pcase: s[7] > 7.
        Similar to *L3_1[5].
      Pcase L3_2: h[3] <= 5.
        Pcase: h[2] <= 6.
          Reducible.
        Pcase L4_1: h[4] <= 5.
          Pcase: s[4] <= 6.
            Reducible.
          Pcase: s[4] > 7.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[5,6]<=3 $[5,7]<=2 $[6,7]<=2
                   $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[6]<=0 $[5,7]<=2 $.
          Pcase: h[5] <= 5.
            Reducible.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[5]<=0 $[3,4]<=2 $[6,7]<=2 $.
          Pcase: h[6] > 5.
            Hubcap $[1]<=3 $[2]<=3 $[5]<=1 $[3,4]<=2 $[6,7]<=1 $.
          Hubcap $[1]<=3 $[2]<=3 $[3,4]<=2 $[5,6]<=3 $[5,7]<=1 $[6,7]<=1 $.
        Pcase: h[7] <= 5.
          Pcase: h[1] <= 5.
            Similar to *L4_1[5].
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[7]<=1 $[3,4]<=2 $[5,6]<=1 $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=1 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=1 $[5]<=1 $[6,7]<=1 $.
          Hubcap $[1]<=3 $[2]<=3 $[5]<=1 $[6]<=1 $[7]<=1 $[3,4]<=1 $.
        Pcase: h[1] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[7]<=(-1) $[3,4]<=2 $[5,6]<=3 $.
        Pcase: h[1] > 5.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[4]<=0 $[6]<=0 $[7]<=0 $[3,5]<=4 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[7]<=0 $[3,4]<=2 $[5,6]<=2 $.
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[3,4]<=2 $[5,6]<=3 $[5,7]<=1 $[6,7]<=1 $.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=1 $[5]<=2 $[6,7]<=0 $.
        Pcase: f1[3] > 5.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=0 $[4,5]<=2 $[6,7]<=2 $.
        Pcase: f2[3] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[6,7]<=2 $[3,4]<=2 $[3,5]<=2 $[4,5]<=1 $.
        Pcase: s[4] <= 7.
          Hubcap $[1]<=3 $[2]<=3 $[4]<=0 $[3,5]<=3 $[6,7]<=1 $.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=1 $[6]<=0 $[7]<=1 $.
        Pcase: h[4] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=1 $[6]<=1 $[7]<=1 $.
        Pcase: h[5] > 5.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=1 $[6,7]<=1 $.
        Pcase: h[6] > 5.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[7]<=1 $[5,6]<=1 $.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=1 $[6]<=1 $[7]<=0 $.
      Pcase: h[1] <= 5.
        Similar to *L3_2[5].
      Pcase: s[4] > 7.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=2 $[6,7]<=2 $.
      Pcase: s[6] > 7.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[6]<=0 $[7]<=0 $[4,5]<=3 $.
      Pcase: s[5] > 6.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=1 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=1 $.
        Pcase: h[4] > 5.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=0 $[4]<=0 $[6]<=0 $[5,7]<=4 $.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[6]<=0 $[5,7]<=3 $.
      Pcase: h[5] > 6.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[6]<=2 $[5,7]<=1 $.
      Pcase: h[6] > 6.
        Hubcap $[1]<=3 $[2]<=3 $[4]<=2 $[6]<=0 $[7]<=1 $[3,5]<=1 $.
      Pcase L3_3: h[4] <= 5.
        Pcase: h[5] <= 5.
          Reducible.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[6]<=2 $[3,4]<=1 $[5,7]<=1 $.
        Pcase: f1[4] <= 6.
          Reducible.
        Pcase: f1[5] <= 5.
          Reducible.
        Pcase: f2[3] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=1 $[5]<=0 $[6,7]<=2 $.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=1 $[6]<=1 $[5,7]<=1 $.
      Pcase: h[7] <= 5.
        Similar to *L3_3[5].
      Pcase: s[6] > 6.
        Hubcap $[1]<=3 $[2]<=3 $[6]<=2 $[3,7]<=(-1) $[4,5]<=3 $.
      Pcase: s[4] > 6.
        Hubcap $[1]<=3 $[2]<=3 $[4]<=2 $[3,5]<=1 $[6,7]<=1 $.
      Hubcap $[1]<=3 $[2]<=3 $[3,4]<=1 $[5,6]<=4 $[5,7]<=2 $[6,7]<=1 $.
    Pcase: h[3] <= 5.
      Reducible.
    Pcase: h[1] <= 5.
      Reducible.
    Pcase L2_4: s[4] > 6.
      Pcase: s[5] > 6.
        Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=0 $[3,7]<=0 $.
      Pcase: s[6] > 6.
        Hubcap $[1]<=4 $[2]<=4 $[5]<=0 $[3,4]<=1 $[6,7]<=1 $.
      Pcase: h[6] > 6.
        Hubcap $[1]<=4 $[2]<=4 $[5]<=0 $[6]<=0 $[7]<=1 $[3,4]<=1 $.
      Pcase: h[6] <= 5.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[7]<=(-1) $[5,6]<=3 $.
      Pcase: s[7] > 7.
        Hubcap $[1]<=4 $[2]<=4 $[7]<=(-1) $[3,4]<=1 $[5,6]<=2 $.
      Pcase: h[7] <= 5.
        Reducible.
      Pcase: s[4] > 7.
        Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[3,7]<=0 $[5,6]<=2 $.
      Pcase: h[5] > 5.
        Hubcap $[1]<=4 $[2]<=4 $[4]<=1 $[3,7]<=0 $[5,6]<=1 $.
      Pcase: h[1] > 6.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=2 $[7]<=(-1) $[5,6]<=2 $.
      Pcase: f2[4] <= 5.
        Reducible.
      Pcase: h[7] <= 6.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[5,6]<=2 $[5,7]<=1 $[6,7]<=2 $.
      Pcase: f1[5] > 5.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[7]<=1 $[5,6]<=1 $.
      Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[5]<=0 $[6]<=2 $[7]<=(-1) $.
    Pcase: s[6] > 6.
      Similar to *L2_4[5].
    Pcase L2_5: h[4] <= 5.
      Pcase: s[3] <= 7.
        Reducible.
      Pcase: s[5] > 6.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[6]<=0 $[5,7]<=3 $.
      Pcase L3_1: s[7] > 7.
        Pcase: h[5] > 5.
          Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[7]<=(-1) $[4,5]<=3 $[4,6]<=2
                 $[5,6]<=4 $.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[7]<=(-1) $[4,5]<=4 $[4,6]<=2
               $[5,6]<=3 $.
      Pcase: h[7] <= 5.
        Similar to *L3_1[5].
      Pcase: h[5] > 6.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=1 $.
      Pcase: h[5] <= 5.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=2 $[7]<=(-1) $[5,6]<=2 $.
      Pcase: h[6] > 5.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4,5]<=2 $[6,7]<=1 $.
      Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[6]<=1 $[7]<=(-1) $[4,5]<=3 $.
    Pcase: h[7] <= 5.
      Similar to *L2_5[5].
    Pcase: s[5] > 6.
      Pcase: s[3] > 7.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[6]<=0 $[5,7]<=3 $.
      Pcase: s[7] > 7.
        Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[6]<=0 $[7]<=(-1) $[3,5]<=3 $.
      Pcase: h[3] > 6.
        Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=0 $[6]<=0 $[5,7]<=3 $.
      Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=2 $[6]<=0 $[3,7]<=0 $.
    Pcase: h[5] <= 5.
      Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[6]<=1 $[7]<=(-1) $[4,5]<=3 $.
    Pcase: h[6] > 6.
      Hubcap $[1]<=4 $[2]<=4 $[4]<=1 $[5]<=1 $[6]<=0 $[3,7]<=0 $.
    Pcase: h[6] <= 5.
      Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4]<=1 $[7]<=(-1) $[5,6]<=3 $.
    Pcase: s[7] > 7.
      Hubcap $[1]<=4 $[2]<=4 $[7]<=(-1) $[3,4]<=1 $[5,6]<=2 $.
    Pcase: s[3] > 7.
      Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4,5]<=2 $[6,7]<=1 $.
    Pcase: h[3] > 6.
      Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4,5]<=2 $[6,7]<=1 $.
    Pcase: h[5] > 6.
      Hubcap $[1]<=4 $[2]<=4 $[4]<=0 $[5]<=1 $[6]<=1 $[3,7]<=0 $.
    Pcase: h[1] > 6.
      Hubcap $[1]<=4 $[2]<=4 $[7]<=(-1) $[3,4]<=1 $[5,6]<=2 $.
    Pcase: f1[3] > 5.
      Hubcap $[1]<=4 $[2]<=4 $[3]<=(-1) $[4,5]<=2 $[6,7]<=1 $.
    Hubcap $[1]<=4 $[2]<=4 $[3]<=1 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=(-1) $.
  Pcase: s[7] <= 5.
    Similar to L1_1[6].
  Pcase L1_2: s[3] <= 5.
    Pcase: s[4] <= 5.
      Similar to L1_1[2].
    Pcase L2_1: s[5] <= 5.
      Pcase: s[6] <= 5.
        Similar to L1_1[4].
      Pcase L3_1: s[6] > 6.
        Pcase: s[7] > 6.
          Pcase L5_1: s[2] <= 6.
            Pcase: s[4] <= 6.
              Reducible.
            Pcase: h[2] > 5.
              Pcase: s[6] > 7.
                Hubcap $[1]<=2 $[2]<=4 $[5]<=2 $[6]<=0 $[7]<=0 $[3,4]<=2 $.
              Pcase: s[7] > 7.
                Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[5]<=2 $[7]<=(-1) $[4,6]<=0 $.
              Pcase: h[7] <= 5.
                Reducible.
              Pcase: h[3] > 5.
                Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=2 $[6]<=1 $[7]<=0
                       $.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=1 $[7]<=0
                     $.
            Pcase: f1[2] <= 5.
              Reducible.
            Pcase: h[3] > 5.
              Pcase: s[4] > 7.
                Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=(-1) $[5]<=2 $[6,7]<=0 $.
              Pcase: h[4] <= 5.
                Reducible.
              Pcase: h[5] <= 5.
                Reducible.
              Pcase: s[7] > 7.
                Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[5]<=2 $[7]<=(-1) $[4,6]<=0 $.
              Pcase: h[5] > 6.
                Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=(-1) $[5]<=2 $[6,7]<=0 $.
              Pcase: h[6] <= 5.
                Reducible.
              Pcase: h[1] > 5.
                Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=2 $[6]<=0
                       $[7]<=(-1) $.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=0 $[5]<=2 $[6]<=(-1)
                     $[7]<=(-1) $.
            Pcase: f1[2] <= 6.
              Reducible.
            Pcase: s[4] > 7.
              Pcase: s[4] > 8.
                Pcase: s[6] > 7.
                  Pcase: s[7] > 7.
                    Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                           $[7]<=(-1) $.
                  Pcase: h[4] <= 5.
                    Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                           $[7]<=(-1) $.
                  Pcase: h[1] > 5.
                    Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                           $[7]<=(-1) $.
                  Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=(-1)
                         $[7]<=(-1) $.
                Pcase: h[6] <= 5.
                  Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=1
                         $[7]<=(-2) $.
                Pcase: s[7] > 7.
                  Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                         $[7]<=(-1) $.
                Pcase: h[7] <= 5.
                  Reducible.
                Pcase: h[4] <= 5.
                  Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                         $[7]<=(-1) $.
                Pcase: h[1] > 5.
                  Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                         $[7]<=(-1) $.
                Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=(-1)
                       $[7]<=(-1) $.
              Pcase: s[6] > 7.
                Pcase: s[7] > 7.
                  Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                         $[7]<=(-1) $.
                Pcase: h[4] <= 5.
                  Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                         $[7]<=(-1) $.
                Pcase: h[1] > 5.
                  Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                         $[7]<=(-1) $.
                Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=(-1)
                       $[7]<=(-1) $.
              Pcase: h[6] <= 5.
                Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=1
                       $[7]<=(-2) $.
              Pcase: s[7] > 7.
                Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                       $[7]<=(-1) $.
              Pcase: h[7] <= 5.
                Reducible.
              Pcase: h[4] <= 5.
                Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                       $[7]<=(-1) $.
              Pcase: h[1] > 5.
                Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                       $[7]<=(-1) $.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=(-1)
                     $[7]<=(-1) $.
            Pcase: h[4] <= 6.
              Reducible.
            Pcase: h[5] <= 5.
              Reducible.
            Pcase: h[1] > 5.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=1
                     $[7]<=(-1) $.
            Pcase: s[7] <= 7.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=(-1)
                     $[7]<=(-1) $.
            Pcase: s[6] > 7.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                     $[7]<=(-1) $.
            Pcase: h[5] <= 6.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                     $[7]<=(-1) $.
            Pcase: h[6] > 5.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=0
                     $[7]<=(-1) $.
            Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=1 $[7]<=(-2)
                   $.
          Pcase: s[4] <= 6.
            Similar to *L5_1[2].
          Pcase L5_2: s[2] > 7.
            Pcase: s[4] > 8.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=0 $[5]<=2 $[6,7]<=2 $.
            Pcase: s[4] > 7.
              Pcase: s[2] > 8.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=2 $[6,7]<=2 $.
              Pcase: h[2] > 6.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,4]<=2 $[6,7]<=2 $.
              Pcase: h[5] > 6.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,4]<=2 $[6,7]<=2 $.
              Pcase L7_1: s[6] > 7.
                Pcase: s[7] > 7.
                  Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=0 $[7]<=0
                         $.
                Pcase: h[2] > 5.
                  Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=0 $[2,7]<=2 $.
                Pcase: h[3] <= 5.
                  Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=2 $[6]<=0 $[7]<=1
                         $.
                Pcase: h[4] > 5.
                  Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=2 $[6]<=0 $[7]<=2
                         $.
                Pcase: h[5] > 5.
                  Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=2 $[6]<=0 $[7]<=2
                         $.
                Pcase: h[6] > 5.
                  Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=2 $[6]<=0 $[7]<=2
                         $.
                Pcase: h[1] > 5.
                  Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=0 $[7]<=1
                         $.
                Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=(-1)
                       $[7]<=2 $.
              Pcase: s[7] > 7.
                Similar to *L7_1[2].
              Pcase: h[3] > 6.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,4]<=2 $[6,7]<=2 $.
              Pcase: h[4] > 6.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,4]<=2 $[6,7]<=2 $.
              Pcase: h[6] <= 5.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,4]<=3 $[6,7]<=1 $.
              Pcase: h[3] > 5.
                Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=2 $[6,7]<=2 $.
              Pcase: h[5] > 5.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=1 $[7]<=1 $[2,4]<=2 $.
              Pcase: h[6] <= 6.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=1 $[7]<=1 $[2,4]<=2 $.
              Pcase: h[7] > 5.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=1 $[2,4]<=3 $.
              Pcase: h[1] > 5.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=1 $[7]<=1 $[2,4]<=2 $.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=1 $[2,4]<=3 $.
            Pcase: s[2] > 8.
              Pcase: f1[4] <= 5.
                Pcase: s[7] > 7.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=0 $[4,6]<=4 $.
                Pcase: h[4] > 6.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=2 $[6,7]<=2 $.
                Pcase: f2[4] <= 5.
                  Reducible.
                Pcase: h[1] <= 5.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[4,6]<=3 $[4,7]<=5
                         $[6,7]<=1 $.
                Pcase: s[6] > 7.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=0 $[4,7]<=4 $.
                Pcase: h[4] > 5.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=3 $.
                Pcase: h[5] <= 6.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=0 $[4,7]<=4 $.
                Pcase: h[6] > 5.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=3 $[5]<=2 $[6]<=0 $[7]<=1
                         $.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=3 $[5]<=2 $[6]<=1 $[7]<=0
                       $.
              Pcase: h[5] > 6.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=2 $[6,7]<=2 $.
              Pcase: s[6] > 7.
                Pcase: s[7] > 7.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=4 $[5]<=2 $[6]<=0 $[7]<=0
                         $.
                Pcase: h[5] > 5.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=0 $[4,7]<=4 $.
                Pcase: h[1] > 5.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=4 $[5]<=2 $[6]<=0 $[7]<=0
                         $.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=(-1) $[4,7]<=5 $.
              Pcase: h[6] <= 5.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=1 $[4,7]<=3 $.
              Pcase: s[7] > 7.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=0 $[4,6]<=4 $.
              Pcase: h[5] > 5.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[4,6]<=3 $[4,7]<=4
                       $[6,7]<=2 $.
              Pcase: h[7] <= 5.
                Reducible.
              Pcase: h[6] <= 6.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=4 $[5]<=2 $[6]<=0 $[7]<=0
                       $.
              Pcase: h[1] > 5.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=4 $[5]<=2 $[6]<=0 $[7]<=0
                       $.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=(-1) $[4,7]<=5 $.
            Pcase: s[6] > 7.
              Pcase: s[7] > 7.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $[2,4]<=4 $.
              Pcase: h[1] > 6.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $[2,4]<=4 $.
              Pcase: h[5] > 5.
                Pcase: h[2] > 6.
                  Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=0 $[4,7]<=4 $.
                Pcase: h[1] > 5.
                  Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=1 $[2,4]<=3 $.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=(-1) $[2,4]<=4 $[2,7]<=3
                       $[4,7]<=4 $.
              Pcase: h[1] > 5.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=4 $[5]<=2 $[6]<=0 $[7]<=0
                       $.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=(-1) $[4,7]<=5 $.
            Pcase: h[6] <= 5.
              Pcase: h[2] > 6.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[4,6]<=5 $[4,7]<=3
                       $[6,7]<=1 $.
              Pcase: h[5] <= 5.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=4 $[5]<=2 $[6]<=1
                       $[7]<=(-1) $.
              Pcase: h[3] > 5.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,7]<=0 $[4,6]<=4 $.
              Pcase: h[2] <= 5.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,7]<=1 $[4,6]<=3 $.
              Pcase: s[7] > 7.
                Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[5]<=2 $[7]<=(-1) $[4,6]<=4 $.
              Pcase: h[4] > 5.
                Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=2 $[6,7]<=1 $.
              Pcase: f1[6] <= 5.
                Reducible.
              Pcase: f3[2] <= 5.
                Reducible.
              Pcase: h[5] <= 6.
                Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=1 $[7]<=0
                       $.
              Pcase: h[1] > 5.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=3 $[5]<=2 $[6]<=1 $[7]<=0
                       $.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=3 $[5]<=2 $[6]<=0 $[7]<=0 $.
            Pcase: h[4] > 5.
              Pcase: s[7] > 7.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=1 $[7]<=0 $[2,4]<=3 $.
              Pcase: h[1] <= 5.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,4]<=3 $[6,7]<=1 $.
              Pcase: h[2] > 5.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=3 $.
              Pcase: h[3] > 5.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=3 $.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=2 $[6]<=1 $[7]<=1 $.
            Pcase: s[7] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $[2,4]<=4 $.
            Pcase: h[1] <= 5.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=(-1) $[7]<=1 $[2,4]<=4 $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=0 $[4,7]<=4 $.
            Pcase: h[3] > 5.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=0 $[4,7]<=4 $.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=0 $[7]<=1 $.
          Pcase: s[4] > 7.
            Similar to *L5_2[2].
          Pcase L5_3: s[6] > 7.
            Pcase: s[7] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $[2,4]<=4 $.
            Pcase: h[1] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $[2,4]<=4 $.
            Pcase: h[1] > 5.
              Pcase: h[2] <= 5.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $[2,4]<=4 $.
              Pcase: h[3] <= 5.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $[2,4]<=4 $.
              Pcase: h[3] <= 6.
                Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[5]<=2 $[6]<=0 $[4,7]<=3 $.
              Pcase: h[2] > 6.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=0 $[4,7]<=4 $.
              Pcase: h[4] > 5.
                Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[5]<=2 $[6]<=0 $[4,7]<=3 $.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=0 $[4,7]<=4 $.
            Pcase: h[2] <= 6.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=(-1) $[7]<=1 $[2,4]<=4 $.
            Pcase: h[3] > 5.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=(-1) $[2,4]<=4 $[2,7]<=2
                     $[4,7]<=5 $.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=(-1) $[7]<=1 $[2,4]<=4 $.
          Pcase: s[7] > 7.
            Similar to *L5_3[2].
          Pcase L5_4: h[6] <= 5.
            Pcase: h[2] <= 5.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=0 $[5]<=2 $[7]<=(-1) $[2,6]<=5 $.
            Pcase: h[5] <= 5.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=1 $[7]<=(-1) $[2,4]<=4 $.
            Pcase: h[1] <= 5.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $[2,4]<=4 $.
            Pcase: h[3] > 5.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,4]<=3 $[6,7]<=1 $.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=1 $[7]<=(-1) $[2,4]<=4 $.
          Pcase: h[1] <= 5.
            Similar to *L5_4[2].
          Pcase: h[2] <= 5.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $[2,4]<=4 $.
          Pcase: h[5] <= 5.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $[2,4]<=4 $.
          Pcase L5_5: h[3] > 5.
            Pcase: h[3] <= 6.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=2 $[6]<=1 $[7]<=1 $.
            Pcase: h[2] > 6.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=3 $.
            Pcase: h[4] > 5.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=2 $[6]<=1 $[7]<=1 $.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=3 $[5]<=2 $[6]<=0 $[7]<=1 $.
          Pcase: h[4] > 5.
            Similar to *L5_5[2].
          Pcase: f1[4] <= 5.
            Reducible.
          Pcase: f2[2] <= 5.
            Reducible.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=0 $[7]<=0 $.
        Pcase: s[2] > 7.
          Pcase: s[4] > 8.
            Hubcap $[1]<=3 $[3]<=2 $[4]<=0 $[5]<=2 $[6]<=0 $[2,7]<=3 $.
          Pcase: s[4] <= 6.
            Pcase: h[1] <= 5.
              Reducible.
            Pcase: h[4] > 5.
              Hubcap $[1]<=2 $[2]<=(-1) $[3]<=2 $[4]<=4 $[5]<=3 $[6]<=(-1)
                     $[7]<=1 $.
            Hubcap $[1]<=2 $[2]<=(-2) $[3]<=3 $[4]<=5 $[7]<=1 $[5,6]<=1 $.
          Pcase: h[1] <= 5.
            Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[5]<=2 $[7]<=3 $[4,6]<=1 $.
          Pcase: s[4] > 7.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,7]<=3 $[4,6]<=1 $.
          Pcase: s[6] > 7.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=(-1) $[2,4]<=4 $[2,7]<=2
                   $[4,7]<=5 $.
          Pcase: h[7] <= 5.
            Reducible.
          Pcase: h[2] > 5.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=3 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[2,7]<=2 $[4,6]<=2 $.
          Pcase: h[1] <= 6.
            Reducible.
          Pcase: s[2] > 8.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=3 $.
          Pcase: h[3] > 5.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=3 $.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=0 $[7]<=1 $.
        Pcase: h[1] <= 5.
          Pcase: s[2] <= 6.
            Reducible.
          Pcase: s[4] <= 6.
            Reducible.
          Pcase: h[2] <= 6.
            Reducible.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: f1[7] <= 5.
            Reducible.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=2 $[4,6]<=1 $.
        Pcase: s[4] <= 6.
          Pcase: s[2] <= 6.
            Reducible.
          Pcase: h[2] <= 5.
            Reducible.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: s[6] <= 7.
            Hubcap $[1]<=2 $[4]<=4 $[7]<=1 $[2,3]<=2 $[5,6]<=1 $.
          Pcase: h[3] <= 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=4 $[5]<=3 $[6]<=(-2) $[7]<=1 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=4 $[5]<=3 $[6]<=(-2) $[7]<=1 $.
          Hubcap $[1]<=2 $[2]<=(-2) $[3]<=3 $[4]<=5 $[5]<=3 $[6]<=(-2) $[7]<=1
                 $.
        Pcase: s[2] > 6.
          Pcase: s[4] > 8.
            Hubcap $[1]<=2 $[3]<=2 $[4]<=0 $[5]<=2 $[7]<=1 $[2,6]<=3 $.
          Pcase: s[6] > 7.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=(-1) $[7]<=1 $[2,4]<=4 $.
          Pcase: h[7] <= 5.
            Reducible.
          Pcase: h[2] <= 5.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[7]<=1 $[2,4]<=4 $[2,6]<=3 $[4,6]<=0
                   $.
          Pcase: s[4] > 7.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=0 $[7]<=1 $[2,4]<=3 $.
          Pcase: h[3] <= 5.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=(-1) $[7]<=1 $[2,4]<=4 $.
          Pcase: h[3] <= 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=2 $.
          Pcase: h[2] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=3 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=2 $.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[7]<=1 $[4,6]<=3 $.
        Pcase: s[4] <= 7.
          Hubcap $[1]<=3 $[5]<=2 $[7]<=1 $[2,6]<=2 $[3,4]<=2 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=2 $[6]<=(-1) $[7]<=1
                 $.
        Pcase: h[1] <= 6.
          Reducible.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: h[3] > 5.
          Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=(-1) $[5]<=2 $[6]<=(-2) $[7]<=1
                 $.
        Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=2 $[6]<=(-2) $[7]<=1 $.
      Pcase: s[7] > 6.
        Similar to *L3_1[2].
      Pcase: s[2] <= 6.
        Reducible.
      Pcase: s[4] <= 6.
        Reducible.
      Pcase: h[6] <= 5.
        Reducible.
      Pcase: h[7] <= 5.
        Reducible.
      Pcase: h[1] <= 5.
        Reducible.
      Hubcap $[1]<=2 $[3]<=2 $[5]<=2 $[6]<=1 $[7]<=1 $[2,4]<=2 $.
    Pcase: s[6] <= 5.
      Similar to L2_1[5].
    Pcase: s[2] <= 6.
      Pcase L3_1: s[4] > 6.
        Pcase L4_1: h[2] > 5.
          Pcase: s[6] > 8.
            Hubcap $[1]<=2 $[2]<=4 $[5]<=0 $[6]<=0 $[7]<=1 $[3,4]<=3 $.
          Pcase: s[7] > 7.
            Hubcap $[1]<=2 $[2]<=4 $[7]<=(-1) $[3,6]<=4 $[4,5]<=1 $.
          Pcase: f1[2] <= 5.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4,5]<=1 $[6,7]<=3 $.
          Pcase: h[7] <= 5.
            Pcase: s[6] <= 6.
              Reducible.
            Pcase: s[7] > 6.
              Hubcap $[1]<=2 $[2]<=4 $[5]<=0 $[3,4]<=3 $[6,7]<=1 $.
            Pcase: h[1] <= 5.
              Reducible.
            Pcase: s[4] > 7.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=1 $[7]<=1
                     $.
            Pcase: s[5] <= 6.
              Hubcap $[1]<=2 $[3]<=3 $[4]<=0 $[5]<=0 $[7]<=1 $[2,6]<=4 $.
            Pcase: s[6] > 7.
              Hubcap $[1]<=2 $[2]<=4 $[5]<=0 $[6]<=0 $[7]<=1 $[3,4]<=3 $.
            Hubcap $[1]<=2 $[2]<=4 $[5]<=0 $[6]<=0 $[7]<=1 $[3,4]<=3 $.
          Pcase: s[6] > 7.
            Hubcap $[1]<=2 $[2]<=4 $[5]<=0 $[6]<=0 $[7]<=1 $[3,4]<=3 $.
          Pcase: h[1] <= 5.
            Pcase: s[7] <= 6.
              Reducible.
            Pcase: f2[7] <= 5.
              Reducible.
            Pcase: s[4] > 7.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=1 $[6]<=1 $[7]<=0
                     $.
            Pcase: s[5] > 6.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[6]<=0 $[7]<=0 $[4,5]<=1 $.
            Hubcap $[1]<=2 $[2]<=4 $[4]<=0 $[6]<=1 $[7]<=0 $[3,5]<=3 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=4 $[7]<=(-1) $[3,6]<=4 $[4,5]<=1 $.
          Pcase: s[4] > 7.
            Pcase: s[6] > 6.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=1 $[7]<=1
                     $.
            Pcase: s[5] > 7.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=(-1) $[6,7]<=3 $.
            Pcase: s[5] > 6.
              Pcase: h[3] > 5.
                Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=(-1) $[5]<=0 $[6]<=1
                       $[7]<=3 $.
              Pcase: h[4] > 5.
                Hubcap $[1]<=2 $[2]<=3 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6,7]<=3 $.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[4]<=(-2) $[5]<=0 $[6,7]<=3 $.
            Pcase: h[3] > 5.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=(-1) $[5]<=1 $[6,7]<=3 $.
            Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6,7]<=2 $.
          Pcase: h[3] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4,5]<=1 $[6,7]<=3 $.
          Pcase: h[7] > 6.
            Hubcap $[1]<=2 $[7]<=1 $[3,6]<=3 $[2,4]<=4 $[2,5]<=4 $[4,5]<=1 $.
          Pcase: f1[4] <= 5.
            Pcase: h[4] <= 6.
              Reducible.
            Pcase: s[5] > 7.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6,7]<=3 $.
            Pcase: s[5] <= 6.
              Hubcap $[1]<=2 $[2]<=3 $[4]<=(-1) $[3,5]<=3 $[6,7]<=3 $.
            Pcase: s[6] > 6.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=3 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=1 $.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=3 $[4,5]<=(-1) $[6,7]<=3 $.
          Pcase: f1[7] <= 5.
            Pcase: h[1] <= 6.
              Reducible.
            Pcase: s[6] > 6.
              Hubcap $[1]<=2 $[2]<=4 $[5]<=0 $[6]<=0 $[7]<=1 $[3,4]<=3 $.
            Pcase: f1[6] <= 5.
              Reducible.
            Pcase: s[5] > 6.
              Hubcap $[1]<=2 $[3]<=3 $[4]<=0 $[6]<=1 $[7]<=1 $[2,5]<=3 $.
            Hubcap $[1]<=2 $[2]<=3 $[4]<=(-1) $[6]<=2 $[7]<=1 $[3,5]<=3 $.
          Pcase: s[6] > 6.
            Pcase: h[3] > 5.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=1 $[7]<=1 $.
            Pcase: h[4] > 5.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=1 $[7]<=1
                     $.
            Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=1 $[7]<=1 $.
          Pcase: s[5] <= 6.
            Hubcap $[1]<=2 $[2]<=3 $[4]<=(-1) $[3,5]<=3 $[6,7]<=3 $.
          Pcase: h[3] > 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=0 $[6,7]<=3 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6,7]<=3 $.
          Hubcap $[1]<=2 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=(-1) $[6,7]<=3 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase L4_2: s[5] > 6.
          Pcase: f1[2] <= 6.
            Pcase: h[3] <= 6.
              Reducible.
            Pcase: s[7] > 6.
              Similar to *L4_1[4].
            Pcase: h[1] <= 6.
              Reducible.
            Pcase: s[4] > 7.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=(-1) $[5]<=1 $[6]<=1 $[7]<=1
                     $.
            Pcase: s[5] > 7.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=1 $.
            Pcase: s[6] > 6.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: s[7] > 7.
            Pcase: h[3] > 5.
              Similar to *L4_1[4].
            Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[6]<=0 $[7]<=(-1) $[4,5]<=0 $.
          Pcase: h[3] > 6.
            Pcase: s[7] > 6.
              Similar to *L4_1[4].
            Pcase: h[1] <= 6.
              Reducible.
            Pcase: s[4] > 7.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=(-1) $[5]<=1 $[6]<=1 $[7]<=1
                     $.
            Pcase: s[5] > 7.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=1 $.
            Pcase: s[6] > 6.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: h[1] <= 5.
            Pcase: s[7] <= 6.
              Reducible.
            Pcase: h[4] <= 5.
              Reducible.
            Pcase: f2[7] <= 5.
              Reducible.
            Pcase: h[3] > 5.
              Similar to *L4_1[4].
            Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=1 $[6]<=0 $[7]<=(-1)
                   $.
          Pcase: h[1] <= 6.
            Pcase: s[7] <= 6.
              Reducible.
            Pcase: f2[7] <= 5.
              Reducible.
            Pcase: h[3] > 5.
              Similar to *L4_1[4].
            Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[6]<=0 $[7]<=(-1) $[4,5]<=0 $.
          Pcase: s[7] > 6.
            Pcase: h[3] > 5.
              Similar to *L4_1[4].
            Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[6]<=0 $[7]<=(-1) $[4,5]<=0 $.
          Pcase: s[6] > 6.
            Pcase: h[4] > 5.
              Hubcap $[1]<=3 $[2]<=4 $[5]<=0 $[6]<=0 $[7]<=1 $[3,4]<=2 $.
            Pcase: s[4] > 7.
              Pcase: s[6] > 7.
                Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1)
                       $[7]<=1 $.
              Pcase: h[3] > 5.
                Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=(-1) $[5]<=0 $[6]<=0
                       $[7]<=1 $.
              Pcase: h[7] > 5.
                Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1)
                       $[7]<=1 $.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1)
                     $[7]<=1 $.
            Pcase: f1[4] <= 5.
              Reducible.
            Pcase: h[3] > 5.
              Pcase: s[5] > 7.
                Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=1
                       $.
              Pcase: s[6] > 7.
                Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=(-1)
                       $[7]<=1 $.
              Pcase: h[5] > 5.
                Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=1
                       $.
              Pcase: h[7] > 5.
                Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=(-1)
                       $[7]<=1 $.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=(-1) $[7]<=1
                     $.
            Pcase: s[6] > 7.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1)
                     $[7]<=1 $.
            Pcase: h[7] > 5.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1)
                     $[7]<=1 $.
            Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1) $[7]<=1
                   $.
          Pcase: h[7] <= 5.
            Reducible.
          Pcase: s[4] > 7.
            Pcase: s[5] > 7.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=(-1) $[6]<=0
                     $[7]<=1 $.
            Pcase: h[3] > 5.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1
                     $.
            Pcase: h[4] > 5.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1
                     $.
            Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: h[3] > 5.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1 $.
          Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=(-1) $[6]<=0 $[7]<=1
                 $.
        Pcase: f1[2] <= 6.
          Pcase: h[3] <= 6.
            Reducible.
          Pcase: s[7] > 6.
            Similar to *L4_1[4].
          Pcase: h[1] <= 6.
            Reducible.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=1 $.
        Pcase: s[6] <= 6.
          Pcase: h[6] <= 5.
            Reducible.
          Pcase: s[7] > 6.
            Pcase: h[3] > 5.
              Similar to *L4_1[4].
            Pcase: h[6] > 6.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[5]<=0 $[6]<=0 $[4,7]<=(-1) $.
            Pcase: f1[5] <= 5.
              Reducible.
            Pcase: f1[6] <= 5.
              Reducible.
            Pcase L6_1: s[4] > 7.
              Pcase: s[7] > 7.
                Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[7]<=(-1) $[5,6]<=1
                       $.
              Pcase: h[7] <= 5.
                Reducible.
              Pcase: h[4] <= 5.
                Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=1
                       $[7]<=(-1) $.
              Pcase: h[5] > 5.
                Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=0
                       $[7]<=0 $.
              Pcase: h[1] > 5.
                Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=1
                       $[7]<=(-1) $.
              Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=1
                     $[7]<=(-1) $.
            Pcase: s[7] > 7.
              Similar to *L6_1[4].
            Pcase: h[5] <= 5.
              Reducible.
            Pcase: h[7] <= 5.
              Reducible.
            Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[5]<=0 $[6]<=0 $[4,7]<=(-1) $.
          Pcase: h[7] <= 5.
            Reducible.
          Pcase: h[1] <= 6.
            Reducible.
          Pcase: s[4] <= 7.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: h[3] > 5.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1 $.
          Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-2) $[5]<=0 $[6]<=0 $[7]<=1 $.
        Pcase: s[7] > 6.
          Similar to *L4_2[4].
        Pcase: h[1] <= 6.
          Reducible.
        Pcase: s[4] > 7.
          Pcase: s[6] > 7.
            Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1) $[7]<=1
                   $.
          Pcase: h[6] <= 5.
            Reducible.
          Pcase: h[3] > 5.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: h[7] > 5.
            Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1) $[7]<=1
                   $.
          Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1) $[7]<=1
                 $.
        Pcase: h[5] <= 5.
          Reducible.
        Pcase: h[3] > 5.
          Hubcap $[1]<=3 $[2]<=4 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=1 $.
        Pcase: h[4] > 5.
          Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=1 $.
        Hubcap $[1]<=3 $[2]<=5 $[3]<=3 $[4]<=(-1) $[5]<=0 $[6]<=(-1) $[7]<=1 $.
      Pcase: s[7] > 6.
        Similar to *L3_1[4].
      Pcase: h[4] <= 5.
        Reducible.
      Pcase: h[1] <= 5.
        Reducible.
      Pcase L3_2: s[5] > 6.
        Pcase: s[6] > 6.
          Pcase: f1[2] <= 5.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=1 $.
          Pcase L5_1: h[4] <= 6.
            Pcase: h[3] <= 5.
              Reducible.
            Pcase: f1[4] <= 5.
              Reducible.
            Pcase: s[5] > 7.
              Hubcap $[1]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[7]<=1 $[2,6]<=3 $.
            Pcase: s[6] > 7.
              Hubcap $[1]<=3 $[3]<=2 $[4]<=1 $[5]<=1 $[7]<=1 $[2,6]<=2 $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=1 $.
            Pcase: h[1] <= 6.
              Reducible.
            Pcase: h[5] > 6.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=(-1) $[6]<=0 $[7]<=1
                     $.
            Pcase: h[5] <= 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
            Pcase: h[6] <= 6.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[7]<=1 $[5,6]<=0 $.
            Pcase: h[7] > 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=(-1) $[7]<=1
                     $.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=(-1) $[7]<=1 $.
          Pcase: h[1] <= 6.
            Similar to *L5_1[4].
          Pcase: f1[2] <= 6.
            Pcase: s[5] > 7.
              Hubcap $[2]<=3 $[4]<=1 $[7]<=1 $[1,6]<=3 $[3,5]<=2 $.
            Pcase: s[6] > 7.
              Hubcap $[2]<=3 $[4]<=1 $[7]<=1 $[1,6]<=2 $[3,5]<=3 $.
            Pcase: h[5] > 6.
              Hubcap $[2]<=3 $[4]<=1 $[5]<=(-1) $[6]<=1 $[7]<=1 $[1,3]<=5 $.
            Pcase: h[5] <= 5.
              Hubcap $[2]<=3 $[4]<=1 $[7]<=1 $[1,6]<=3 $[3,5]<=2 $.
            Pcase: h[3] <= 5.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=3 $[4]<=1 $[5]<=(-1) $[6]<=1 $[7]<=1
                     $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=1 $.
            Pcase: h[3] <= 6.
              Reducible.
            Pcase: h[6] <= 6.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[7]<=1 $[5,6]<=0 $.
            Pcase: h[7] > 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=(-1) $[7]<=1
                     $.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=(-1) $[7]<=1 $.
          Pcase L5_2: s[5] > 7.
            Pcase: s[6] > 7.
              Hubcap $[1]<=3 $[4]<=1 $[7]<=1 $[2,6]<=3 $[3,5]<=2 $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=2 $[2]<=3 $[4]<=1 $[6]<=1 $[7]<=1 $[3,5]<=2 $.
            Pcase: h[3] > 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
            Pcase: h[7] > 5.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=1 $[5]<=(-1) $[6]<=(-1)
                     $[7]<=1 $.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=1 $[5]<=(-1) $[6]<=(-1) $[7]<=1
                   $.
          Pcase: s[6] > 7.
            Similar to *L5_2[4].
          Pcase L5_3: h[5] <= 5.
            Pcase: f1[5] <= 5.
              Reducible.
            Pcase: h[2] > 5.
              Hubcap $[1]<=2 $[2]<=3 $[4]<=1 $[6]<=1 $[7]<=1 $[3,5]<=2 $.
            Pcase: h[3] > 5.
              Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
            Pcase: h[7] > 5.
              Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=1 $[5]<=(-1) $[6]<=(-1)
                     $[7]<=1 $.
            Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=1 $[5]<=(-1) $[6]<=(-1) $[7]<=1
                   $.
          Pcase: h[7] <= 5.
            Similar to *L5_3[4].
          Pcase: h[6] <= 5.
            Hubcap $[1]<=3 $[4]<=1 $[7]<=1 $[2,6]<=3 $[3,5]<=2 $.
          Pcase L5_4: h[2] > 5.
            Pcase: h[3] > 5.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=1 $.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=3 $[4]<=1 $[5]<=(-1) $[6]<=1 $[7]<=1 $.
          Pcase: h[3] > 5.
            Similar to *L5_4[4].
          Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=1 $[5]<=(-1) $[6]<=(-1) $[7]<=1
                 $.
        Pcase: h[7] <= 5.
          Reducible.
        Pcase: s[5] > 7.
          Pcase: h[2] > 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=3 $[4]<=1 $[5]<=(-2) $[6,7]<=3 $.
          Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=1 $[5]<=(-2) $[6]<=0 $[7]<=1 $.
        Pcase: h[5] <= 5.
          Reducible.
        Pcase: h[6] <= 5.
          Reducible.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[2]<=3 $[4]<=1 $[3,5]<=2 $[6,7]<=2 $.
        Pcase: h[1] <= 6.
          Reducible.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: h[3] > 5.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
        Hubcap $[1]<=3 $[2]<=4 $[3]<=3 $[4]<=1 $[5]<=(-2) $[6]<=0 $[7]<=1 $.
      Pcase: s[6] > 6.
        Similar to *L3_2[4].
      Reducible.
    Pcase L2_2: s[5] > 6.
      Pcase L3_1: s[4] > 6.
        Pcase: s[6] > 6.
          Pcase: s[7] > 7.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=0 $[2,4]<=5 $.
          Pcase: s[7] > 6.
            Pcase: s[2] > 8.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=3 $[5]<=0 $[6]<=0 $[7]<=3 $.
            Pcase: s[4] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=0 $[2,7]<=5 $.
            Pcase: h[4] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[2,7]<=5 $.
            Pcase: h[1] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=1 $[2,4]<=5 $.
            Pcase: f1[4] > 5.
              Pcase: s[2] > 7.
                Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[2,7]<=4 $.
              Pcase: s[5] > 7.
                Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[2,7]<=5 $.
              Pcase: h[3] > 5.
                Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[2,7]<=4 $.
              Pcase: f2[7] <= 5.
                Reducible.
              Pcase: s[6] > 7.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=1 $[2,4]<=5 $.
              Pcase: h[2] > 5.
                Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $[2,4]<=4 $.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
            Pcase: f2[4] <= 5.
              Reducible.
            Pcase: s[5] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=3 $[2,4]<=3 $.
            Pcase: s[6] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $[2,4]<=4 $.
            Pcase: h[2] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=3 $[5]<=0 $[6]<=0 $[2,7]<=3 $.
            Pcase: s[2] <= 7.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $[2,4]<=4 $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=3 $[5]<=0 $[6]<=0 $[2,7]<=3 $.
            Pcase: h[3] > 5.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=3 $[2,4]<=3 $.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $.
          Pcase: h[1] <= 5.
            Hubcap $[1]<=3 $[3]<=2 $[4]<=2 $[5]<=0 $[2,6]<=1 $[2,7]<=2 $[6,7]<=4
                   $.
          Pcase: s[2] > 8.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=3 $[5]<=0 $[6,7]<=3 $.
          Pcase: s[4] > 7.
            Hubcap $[1]<=2 $[3]<=2 $[4]<=0 $[5]<=0 $[7]<=2 $[2,6]<=4 $.
          Pcase: s[6] > 8.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=(-1) $[7]<=2 $[2,4]<=5 $.
          Pcase: h[7] > 6.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=(-1) $[7]<=2 $[2,4]<=5 $.
          Pcase: h[1] <= 6.
            Pcase: f1[7] <= 5.
              Reducible.
            Pcase: s[6] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $[2,4]<=4 $.
            Pcase: h[2] <= 5.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=1 $[7]<=2 $[2,4]<=3 $.
            Pcase: s[2] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=3 $[5]<=0 $[7]<=1 $[2,6]<=2 $.
            Pcase: h[3] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=2 $[7]<=1 $[2,4]<=3 $.
            Pcase: h[3] <= 5.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=1 $[7]<=1 $[2,4]<=4 $.
            Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[7]<=1 $[2,6]<=3 $.
          Pcase: s[6] > 7.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=1 $[2,4]<=5 $.
          Pcase: h[4] > 6.
            Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[5]<=0 $[7]<=1 $[2,6]<=4 $.
          Pcase: f2[6] > 6.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=1 $[2,4]<=5 $.
          Pcase: f1[4] > 5.
            Pcase: s[2] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[7]<=1 $[2,6]<=3 $.
            Pcase: s[5] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[5]<=0 $[7]<=1 $[2,6]<=4 $.
            Pcase: h[2] <= 5.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=1 $[2,4]<=5 $.
            Pcase: h[3] > 5.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[7]<=1 $[2,6]<=3 $.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=1 $[7]<=1 $[2,4]<=4 $.
          Pcase: f2[4] <= 5.
            Reducible.
          Pcase: s[5] > 7.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=2 $[7]<=1 $.
          Pcase: s[2] <= 7.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=2 $[7]<=1 $[2,4]<=3 $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=2 $[3]<=2 $[4]<=3 $[5]<=0 $[7]<=1 $[2,6]<=2 $.
          Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=2 $[7]<=1 $[2,4]<=3 $.
        Pcase: s[7] > 6.
          Pcase: s[2] > 8.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[6]<=0 $[4,5]<=3 $[4,7]<=6 $[5,7]<=4
                   $.
          Pcase: h[7] <= 5.
            Pcase: s[4] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=0 $[5]<=2 $[6]<=0 $[2,7]<=4 $.
            Pcase: s[5] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[2,7]<=4 $.
            Pcase: h[4] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,7]<=4 $[4,5]<=2 $.
            Pcase: s[2] > 7.
              Pcase: s[7] > 7.
                Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[6]<=0 $[7]<=0 $[4,5]<=3 $.
              Pcase: h[2] > 5.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[6]<=0 $[4,5]<=3 $[4,7]<=6
                       $[5,7]<=4 $.
              Pcase: h[3] <= 5.
                Reducible.
              Pcase: f1[2] <= 5.
                Reducible.
              Pcase: h[3] > 6.
                Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[6]<=0 $[4,5]<=3 $[4,7]<=6
                       $[5,7]<=4 $.
              Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,7]<=4 $[4,5]<=2 $.
            Pcase: s[7] > 7.
              Pcase: h[2] > 5.
                Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[6]<=0 $[7]<=0 $[4,5]<=3 $.
              Pcase: f1[4] <= 5.
                Reducible.
              Pcase: h[3] > 5.
                Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[6]<=0 $[7]<=0 $[4,5]<=3 $.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[6]<=0 $[7]<=0 $[4,5]<=2 $.
            Pcase: h[2] <= 5.
              Reducible.
            Pcase: h[3] <= 5.
              Reducible.
            Pcase: h[2] > 6.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[6]<=0 $[4,5]<=3 $[4,7]<=6
                     $[5,7]<=4 $.
            Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,4]<=3 $[5,7]<=3 $.
          Pcase: s[2] > 7.
            Pcase: s[4] > 7.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=0 $[6]<=0 $[5,7]<=4 $.
            Pcase: s[5] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=3 $[2,4]<=3 $.
            Pcase: s[7] > 7.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[6]<=0 $[7]<=0 $[4,5]<=3 $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,7]<=3 $[4,5]<=3 $.
            Pcase: h[4] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,7]<=4 $[4,5]<=2 $.
            Pcase: h[6] <= 5.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[6]<=0 $[2,5]<=3 $[2,7]<=4
                     $[5,7]<=4 $.
            Pcase: h[4] > 5.
              Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,7]<=4 $[4,5]<=2 $.
            Pcase: h[3] <= 5.
              Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=1 $[6]<=0 $[2,7]<=3 $.
            Pcase: h[5] > 5.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[6]<=0 $[7]<=3 $[4,5]<=2 $.
            Pcase: h[6] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=3 $[2,4]<=3 $.
            Pcase: h[7] > 6.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=3 $.
            Pcase: h[1] > 5.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=3 $[5]<=1 $[6]<=0 $[7]<=1 $.
            Pcase: h[3] <= 6.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[6]<=0 $[7]<=3 $[4,5]<=2 $.
            Pcase: f1[2] > 5.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[6]<=0 $[7]<=3 $[4,5]<=3 $.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[6]<=0 $[7]<=3 $[4,5]<=2 $.
          Pcase: h[2] <= 5.
            Pcase: s[4] > 7.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[4]<=0 $[6]<=0 $[5,7]<=2 $.
            Pcase: s[5] > 7.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
            Pcase: h[4] > 5.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[4]<=0 $[6]<=0 $[5,7]<=2 $.
            Pcase: f1[4] <= 5.
              Reducible.
            Pcase: s[7] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[7]<=0 $[2,4]<=5 $[2,5]<=5
                     $[4,5]<=3 $.
            Pcase: h[6] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=1 $[2,4]<=5 $.
            Pcase: h[6] <= 5.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[6]<=0 $[5,7]<=2 $.
            Pcase: h[3] > 5.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[7]<=1 $.
            Pcase: f1[2] <= 5.
              Reducible.
            Pcase: h[1] > 5.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[7]<=0 $.
            Pcase: f2[2] <= 5.
              Reducible.
            Pcase: f2[7] <= 5.
              Reducible.
            Pcase: f1[5] <= 5.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
            Pcase: f2[5] > 5.
              Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
            Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=1 $.
          Pcase: s[7] > 7.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[6]<=0 $[7]<=0 $[4,5]<=3 $.
          Pcase: h[1] > 6.
            Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,4]<=4 $[5,7]<=2 $.
          Pcase: h[3] > 5.
            Pcase: s[4] > 7.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=0 $[6]<=0 $[5,7]<=4 $.
            Pcase: s[5] > 7.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=3 $[2,4]<=3 $.
            Pcase: h[4] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,7]<=4 $[4,5]<=2 $.
            Pcase: h[7] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,7]<=3 $[4,5]<=3 $.
            Pcase: h[1] > 5.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[6]<=0 $[7]<=1 $[4,5]<=3 $.
            Pcase: h[3] <= 6.
              Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,7]<=4 $[4,5]<=2 $.
            Pcase: h[2] > 6.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[6]<=0 $[7]<=3 $[4,5]<=3 $.
            Pcase: f2[7] <= 5.
              Reducible.
            Pcase: h[4] > 5.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=2 $.
            Pcase: h[5] > 5.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=2 $.
            Pcase: h[6] > 6.
              Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $[2,4]<=4 $.
            Pcase: h[6] <= 5.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[7]<=2 $.
            Pcase: f1[2] > 5.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=3 $.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=2 $.
          Pcase: f2[7] <= 5.
            Reducible.
          Pcase: s[4] > 7.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=0 $[6]<=0 $[5,7]<=3 $.
          Pcase: s[5] > 7.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=2 $.
          Pcase: h[6] > 6.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $[2,4]<=4 $.
          Pcase: h[6] <= 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=0 $[6]<=0 $[5,7]<=3 $.
          Pcase: h[7] > 6.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=1 $[6]<=0 $[7]<=1 $[2,4]<=4 $.
          Pcase: h[1] > 5.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=1 $[6]<=0 $[7]<=1 $[2,4]<=4 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=1 $.
          Pcase: f1[4] <= 5.
            Reducible.
          Pcase: h[2] <= 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=2 $.
          Pcase: f1[2] <= 5.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=2 $.
          Pcase: f1[5] <= 5.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $[2,4]<=4 $.
          Pcase: f1[7] > 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[7]<=1 $.
          Pcase: f2[7] <= 6.
            Reducible.
          Pcase: f2[2] > 5.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[7]<=2 $.
          Pcase: f2[5] > 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=2 $.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=2 $.
        Pcase: h[1] <= 5.
          Pcase: f1[7] <= 5.
            Reducible.
          Pcase: s[2] > 7.
            Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4,5]<=1 $[6,7]<=5 $.
          Pcase: h[2] <= 6.
            Reducible.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: s[4] > 7.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
          Pcase: s[5] > 7.
            Hubcap $[1]<=3 $[3]<=2 $[5]<=(-1) $[2,4]<=1 $[6,7]<=5 $.
          Pcase: h[3] > 6.
            Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4,5]<=1 $[6,7]<=5 $.
          Pcase: f2[2] <= 5.
            Reducible.
          Pcase: h[4] > 5.
            Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4,5]<=1 $[6,7]<=5 $.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=1 $[5]<=0 $[6,7]<=4 $.
        Pcase: s[2] > 8.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=0 $[6,7]<=4 $.
        Pcase: h[7] > 6.
          Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,7]<=5 $[4,5]<=1 $.
        Pcase: h[7] <= 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4,5]<=1 $[6,7]<=4 $.
        Pcase: s[2] > 7.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4,5]<=1 $[6,7]<=3 $.
        Pcase: s[4] > 7.
          Hubcap $[1]<=2 $[3]<=2 $[4]<=0 $[5]<=0 $[2,6]<=4 $[2,7]<=6 $[6,7]<=3
                 $.
        Pcase: h[6] > 5.
          Hubcap $[1]<=2 $[3]<=2 $[4,5]<=1 $[2,6]<=4 $[2,7]<=5 $[6,7]<=2 $.
        Pcase: h[3] <= 5.
          Hubcap $[1]<=2 $[3]<=2 $[4,5]<=0 $[2,6]<=4 $[2,7]<=6 $[6,7]<=3 $.
        Pcase: s[5] > 7.
          Hubcap $[1]<=2 $[3]<=2 $[5]<=(-1) $[2,4]<=4 $[6,7]<=3 $.
        Pcase: f2[5] <= 5.
          Reducible.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=0 $[6,7]<=3 $.
        Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6,7]<=2 $.
      Pcase L3_2: h[4] <= 5.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: s[7] > 7.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=3 $[4]<=3 $[5]<=2 $[6]<=0 $[7]<=0 $.
        Pcase: s[6] > 6.
          Pcase: s[7] > 6.
            Similar to *L3_1[4].
          Pcase: s[5] > 8.
            Hubcap $[1]<=3 $[2]<=(-1) $[3]<=3 $[4]<=3 $[5]<=(-1) $[6,7]<=3 $.
          Pcase: h[5] > 6.
            Hubcap $[1]<=3 $[2]<=(-1) $[3]<=3 $[4]<=3 $[5]<=(-1) $[6,7]<=3 $.
          Pcase: h[1] > 6.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[6]<=1 $[7]<=1 $[4,5]<=4 $.
          Pcase: h[1] <= 5.
            Hubcap $[1]<=3 $[2]<=(-2) $[3]<=3 $[4,5]<=3 $[6,7]<=3 $.
          Pcase: f1[7] <= 5.
            Reducible.
          Pcase: s[2] <= 7.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4]<=2 $[5]<=2 $[6]<=1 $[7]<=1 $.
          Pcase: s[5] > 7.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4]<=3 $[5]<=0 $[6]<=1 $[7]<=2 $.
          Pcase: s[6] > 7.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4]<=3 $[7]<=2 $[5,6]<=1 $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[6]<=1 $[7]<=1 $[4,5]<=4 $.
          Pcase: s[2] <= 8.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4]<=2 $[7]<=2 $[5,6]<=2 $.
          Pcase: h[3] > 5.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4]<=2 $[7]<=2 $[5,6]<=2 $.
          Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4]<=3 $[7]<=2 $[5,6]<=1 $.
        Pcase: s[7] > 6.
          Pcase: s[2] <= 7.
            Hubcap $[1]<=2 $[3]<=3 $[4]<=2 $[6]<=0 $[2,5]<=1 $[2,7]<=2 $[5,7]<=4
                   $.
          Pcase: s[5] > 7.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4]<=3 $[5]<=(-1) $[6]<=0 $[7]<=3
                   $.
          Pcase: h[3] > 5.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4]<=2 $[6]<=0 $[5,7]<=4 $.
          Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4]<=3 $[6]<=0 $[5,7]<=3 $.
        Pcase: h[7] > 6.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=3 $[4]<=3 $[6]<=0 $[5,7]<=2 $.
        Pcase: h[1] > 5.
          Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4,5]<=2 $[6,7]<=4 $.
        Hubcap $[1]<=3 $[2]<=(-2) $[3]<=3 $[4,5]<=1 $[6,7]<=5 $.
      Pcase: s[7] > 7.
        Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[6]<=0 $[7]<=0 $[2,5]<=4 $.
      Pcase: s[2] > 7.
        Pcase: s[7] > 6.
          Pcase: s[6] > 6.
            Similar to *L3_1[4].
          Pcase: s[5] > 7.
            Hubcap $[1]<=2 $[3]<=2 $[5]<=(-1) $[6]<=0 $[7]<=4 $[2,4]<=3 $.
          Pcase: h[3] > 5.
            Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[6]<=0 $[2,5]<=2 $[2,7]<=4 $[5,7]<=5
                   $.
          Pcase: h[5] > 6.
            Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[2,7]<=4 $.
          Pcase: h[7] > 6.
            Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,4]<=3 $[5,7]<=3 $.
          Pcase: h[1] > 5.
            Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,4]<=2 $[5,7]<=4 $.
          Pcase: f1[4] <= 5.
            Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[2,7]<=4 $.
          Pcase: f1[5] > 6.
            Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[2,7]<=4 $.
          Pcase: f1[7] > 5.
            Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[2,7]<=3 $[4,5]<=3 $.
          Pcase: f2[7] <= 6.
            Reducible.
          Pcase: h[5] <= 5.
            Hubcap $[1]<=2 $[3]<=2 $[6]<=0 $[7]<=2 $[2,4]<=3 $[2,5]<=3 $[4,5]<=3
                   $.
          Pcase: h[4] > 6.
            Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[2,7]<=4 $.
          Pcase: s[2] > 8.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[6]<=0 $[5,7]<=4 $.
          Pcase: h[2] <= 5.
            Reducible.
          Pcase: h[2] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[6]<=0 $[5,7]<=4 $.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=1 $[6]<=0 $[7]<=2 $.
        Pcase: s[6] > 8.
          Hubcap $[1]<=3 $[3]<=2 $[6]<=(-1) $[2,4]<=2 $[5,7]<=4 $.
        Pcase: s[6] <= 6.
          Pcase: s[5] > 7.
            Hubcap $[1]<=3 $[3]<=2 $[5]<=(-2) $[2,4]<=2 $[6,7]<=5 $.
          Pcase: h[5] <= 5.
            Reducible.
          Pcase: h[3] > 5.
            Hubcap $[2]<=0 $[3]<=2 $[4]<=1 $[1,5]<=2 $[6,7]<=5 $.
          Pcase: h[4] > 6.
            Hubcap $[3]<=2 $[4]<=1 $[1,2]<=3 $[5,6]<=1 $[5,7]<=3 $[6,7]<=5 $.
          Pcase: f1[4] <= 5.
            Reducible.
          Pcase: h[6] > 5.
            Hubcap $[2]<=0 $[3]<=2 $[4]<=2 $[1,5]<=1 $[6,7]<=5 $.
          Pcase: f2[5] <= 5.
            Reducible.
          Pcase: s[2] <= 8.
            Hubcap $[2]<=0 $[3]<=2 $[4]<=2 $[1,5]<=2 $[6,7]<=4 $.
          Pcase: h[2] > 5.
            Hubcap $[2]<=0 $[3]<=2 $[4]<=2 $[1,5]<=2 $[6,7]<=4 $.
          Pcase: h[7] > 6.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[7]<=3 $.
          Pcase: h[1] > 5.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=0 $[6,7]<=4 $.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=2 $[5]<=(-1) $[6,7]<=5 $.
        Pcase: h[1] <= 5.
          Similar to *L3_2[4].
        Hubcap $[1]<=2 $[3]<=2 $[2,4]<=2 $[2,7]<=2 $[4,5]<=3 $[5,6]<=3 $[6,7]<=3
               $.
      Pcase: s[6] > 6.
        Pcase: s[7] > 6.
          Similar to *L3_1[4].
        Pcase: h[1] <= 5.
          Similar to *L3_2[4].
        Pcase: s[5] > 7.
          Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[5]<=0 $[7]<=1 $[2,6]<=4 $.
        Pcase: s[6] > 7.
          Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[6]<=0 $[7]<=1 $[2,5]<=4 $.
        Pcase: h[2] <= 5.
          Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[6]<=0 $[7]<=1 $[2,5]<=4 $.
        Pcase: h[3] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[7]<=1 $[5,6]<=3 $.
        Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=1 $[7]<=1 $.
      Pcase: s[7] > 6.
        Pcase: s[5] > 7.
          Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[5]<=(-1) $[6]<=0 $[2,7]<=5 $.
        Pcase: h[2] <= 5.
          Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[6]<=0 $[7]<=1 $[2,5]<=4 $.
        Pcase: h[3] <= 5.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=2 $.
        Pcase: h[2] <= 6.
          Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[6]<=0 $[2,5]<=3 $[2,7]<=4 $[5,7]<=4
                 $.
        Pcase: h[3] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=1 $[6]<=0 $[5,7]<=5 $.
        Pcase: h[5] > 5.
          Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[2,7]<=4 $.
        Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[5]<=2 $[6]<=0 $[2,7]<=3 $.
      Pcase: h[2] <= 5.
        Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[2,5]<=3 $[6,7]<=2 $.
      Pcase: h[3] > 5.
        Hubcap $[3]<=2 $[4]<=1 $[1,2]<=3 $[5,6]<=1 $[5,7]<=3 $[6,7]<=5 $.
      Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=1 $[5]<=(-1) $[6,7]<=3 $.
    Pcase: s[6] > 6.
      Similar to *L2_2[4].
    Pcase: h[6] <= 5.
      Pcase: s[2] > 8.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=2 $[6]<=2 $[4,7]<=2 $.
      Pcase: s[4] > 7.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=0 $[5,6]<=3 $[5,7]<=3 $[6,7]<=3 $.
      Pcase: s[4] <= 6.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[6]<=1 $[7]<=0 $[4,5]<=3 $.
      Pcase: h[5] <= 5.
        Reducible.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4,5]<=2 $[6,7]<=2 $.
      Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=0 $[5]<=1 $[6,7]<=3 $.
    Pcase L2_3: h[5] > 5.
      Pcase L3_1: s[4] <= 6.
        Pcase: s[7] <= 6.
          Reducible.
        Pcase: s[2] > 7.
          Pcase: s[7] > 7.
            Pcase: s[2] > 8.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=3 $[4]<=3 $[5]<=2 $[6]<=0 $[7]<=0 $.
            Pcase: h[2] > 5.
              Hubcap $[1]<=2 $[4]<=3 $[5]<=2 $[6]<=0 $[7]<=0 $[2,3]<=3 $.
            Hubcap $[1]<=2 $[6]<=0 $[7]<=0 $[2,3]<=4 $[4,5]<=4 $.
          Pcase: h[7] <= 5.
            Reducible.
          Pcase: h[1] <= 5.
            Reducible.
          Pcase: h[2] <= 5.
            Hubcap $[1]<=2 $[4]<=3 $[6]<=0 $[2,3]<=3 $[5,7]<=2 $.
          Pcase: h[3] > 5.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=3 $[6]<=0 $[7]<=1 $[4,5]<=4 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=1 $[6]<=0 $[7]<=1 $.
          Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[4]<=3 $[5]<=2 $[6]<=0 $[7]<=1 $.
        Pcase: h[2] <= 5.
          Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[6]<=0 $[7]<=0 $[4,5]<=2 $.
        Pcase: h[3] <= 6.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[6]<=0 $[7]<=1 $[4,5]<=2 $.
        Pcase: s[7] > 7.
          Hubcap $[1]<=2 $[6]<=0 $[7]<=0 $[2,3]<=4 $[4,5]<=4 $.
        Hubcap $[1]<=2 $[6]<=0 $[7]<=1 $[2,3]<=3 $[4,5]<=4 $.
      Pcase L3_2: s[7] > 7.
        Pcase: s[2] > 7.
          Hubcap $[1]<=2 $[3]<=2 $[7]<=0 $[2,4]<=4 $[5,6]<=2 $.
        Pcase: s[4] > 7.
          Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[4]<=0 $[7]<=0 $[5,6]<=2 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[3]<=2 $[7]<=0 $[2,4]<=4 $[5,6]<=2 $.
        Pcase: h[4] > 5.
          Hubcap $[1]<=2 $[3]<=2 $[7]<=0 $[2,4]<=4 $[5,6]<=2 $.
        Hubcap $[1]<=2 $[3]<=2 $[7]<=0 $[2,4]<=5 $[5,6]<=1 $.
      Pcase: h[7] <= 5.
        Pcase: s[4] > 7.
          Hubcap $[3]<=2 $[4]<=0 $[5]<=0 $[1,2]<=3 $[6,7]<=5 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[5]<=0 $[6]<=0 $[4,7]<=5 $.
        Pcase: h[4] <= 5.
          Reducible.
        Pcase: h[3] <= 5.
          Hubcap $[3]<=2 $[4]<=0 $[5]<=0 $[1,2]<=3 $[6,7]<=5 $.
        Pcase: h[4] > 6.
          Hubcap $[3]<=2 $[4]<=0 $[5]<=0 $[1,2]<=3 $[6,7]<=5 $.
        Pcase: h[1] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=0 $[6,7]<=4 $.
        Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=1 $[7]<=4 $.
      Pcase: s[4] > 7.
        Similar to *L3_2[4].
      Pcase: s[7] <= 6.
        Similar to *L3_1[4].
      Pcase: s[2] > 8.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=3 $.
      Pcase: f1[4] <= 5.
        Pcase: h[4] <= 5.
          Hubcap $[1]<=2 $[3]<=2 $[5]<=0 $[2,7]<=3 $[4,6]<=3 $.
        Pcase: s[2] > 7.
          Hubcap $[1]<=2 $[3]<=2 $[4]<=1 $[2,6]<=2 $[5,7]<=3 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[3]<=2 $[2,4]<=3 $[5,6]<=1 $[5,7]<=3 $[6,7]<=3 $.
        Hubcap $[1]<=2 $[3]<=2 $[5]<=1 $[2,4]<=4 $[6,7]<=1 $.
      Pcase L3_3: h[3] > 5.
        Pcase: s[2] > 7.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4,5]<=2 $[6,7]<=3 $.
        Pcase: h[2] <= 5.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4,5]<=2 $[6,7]<=1 $.
        Pcase: h[2] <= 6.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4,5]<=2 $[6,7]<=2 $.
        Pcase: h[3] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=1 $[6,7]<=3 $.
        Pcase: h[4] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=1 $[6,7]<=3 $.
        Pcase: h[5] > 6.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=0 $[6,7]<=3 $.
        Pcase: h[6] > 6.
          Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[2,7]<=4 $.
        Pcase: f1[6] <= 5.
          Reducible.
        Pcase: h[7] > 6.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[6,7]<=2 $.
        Pcase: h[1] > 5.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=1 $[7]<=1 $.
        Hubcap $[1]<=2 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[2,7]<=4 $.
      Pcase: h[2] > 5.
        Similar to *L3_3[4].
      Pcase: s[2] > 7.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4,5]<=2 $[6,7]<=2 $.
      Hubcap $[1]<=2 $[2]<=4 $[3]<=2 $[4,5]<=1 $[6,7]<=1 $.
    Pcase: h[7] > 5.
      Similar to *L2_3[4].
    Pcase: s[4] <= 6.
      Hubcap $[1]<=2 $[6]<=0 $[7]<=0 $[2,3]<=3 $[4,5]<=5 $.
    Pcase: s[7] > 7.
      Hubcap $[1]<=2 $[3]<=2 $[7]<=0 $[2,4]<=4 $[5,6]<=2 $.
    Pcase: s[7] <= 6.
      Hubcap $[3]<=2 $[4]<=0 $[5]<=0 $[1,2]<=3 $[6,7]<=5 $.
    Pcase: s[4] > 7.
      Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=4 $.
    Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[5]<=0 $[6]<=0 $[4,7]<=6 $.
  Pcase: s[6] <= 5.
    Similar to L1_2[5].
  Pcase L1_3: s[4] <= 5.
    Pcase: s[5] <= 5.
      Similar to L1_1[3].
    Pcase L2_1: s[5] > 6.
      Pcase: s[7] > 6.
        Pcase: h[3] <= 5.
          Pcase L5_1: s[2] > 6.
            Pcase: s[2] <= 7.
              Hubcap $[1]<=2 $[4]<=2 $[6]<=0 $[2,3]<=2 $[5,7]<=4 $.
            Pcase: s[3] > 6.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[6]<=0 $[5,7]<=4 $.
            Pcase: s[7] > 7.
              Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[6]<=0 $[7]<=0 $[4,5]<=6 $.
            Pcase: h[4] > 5.
              Hubcap $[1]<=2 $[2]<=(-1) $[3]<=2 $[4]<=2 $[6]<=0 $[5,7]<=4 $.
            Hubcap $[1]<=2 $[2]<=(-2) $[3]<=3 $[4]<=3 $[6]<=0 $[5,7]<=4 $.
          Pcase: s[3] > 6.
            Similar to *L5_1[3].
          Reducible.
        Pcase L4_1: s[2] > 7.
          Pcase: s[3] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[6]<=0 $[5,7]<=4 $.
          Pcase: s[7] > 7.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=3 $[6]<=0 $[7]<=0 $[4,5]<=6 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=2 $[2]<=(-1) $[3]<=2 $[4]<=2 $[6]<=0 $[5,7]<=4 $.
          Hubcap $[1]<=2 $[2]<=(-2) $[3]<=3 $[4]<=3 $[6]<=0 $[5,7]<=4 $.
        Pcase: s[3] > 7.
          Similar to *L4_1[3].
        Pcase L4_2: h[2] > 5.
          Pcase: h[4] > 5.
            Hubcap $[1]<=2 $[4]<=2 $[6]<=0 $[2,3]<=2 $[5,7]<=4 $.
          Pcase: s[2] <= 6.
            Pcase: s[3] <= 6.
              Reducible.
            Pcase: h[5] <= 5.
              Reducible.
            Pcase: f2[3] <= 5.
              Reducible.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=2 $[6]<=0 $[5,7]<=4 $.
          Pcase: s[3] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[6]<=0 $[5,7]<=4 $.
          Hubcap $[1]<=2 $[2]<=(-2) $[3]<=3 $[4]<=3 $[6]<=0 $[5,7]<=4 $.
        Pcase: h[4] > 5.
          Similar to *L4_2[3].
        Pcase L4_3: s[2] <= 6.
          Pcase: s[3] <= 6.
            Reducible.
          Pcase: h[5] <= 5.
            Reducible.
          Pcase: f1[2] <= 5.
            Reducible.
          Pcase: f2[3] <= 5.
            Reducible.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4]<=2 $[6]<=0 $[5,7]<=3 $.
        Pcase: s[3] <= 6.
          Similar to *L4_3[3].
        Pcase: h[5] <= 5.
          Reducible.
        Pcase: h[1] <= 5.
          Reducible.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: f2[3] <= 5.
          Reducible.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=0 $[4]<=2 $[5]<=3 $[6]<=0 $[7]<=3 $.
      Pcase: s[6] <= 6.
        Pcase: s[3] > 6.
          Pcase: s[2] > 6.
            Pcase: s[3] > 7.
              Hubcap $[3]<=0 $[4]<=2 $[1,5]<=2 $[2,6]<=3 $[2,7]<=5 $[6,7]<=5 $.
            Pcase: h[4] <= 5.
              Hubcap $[4]<=2 $[1,5]<=2 $[2,3]<=1 $[6,7]<=5 $.
            Pcase: s[2] > 7.
              Hubcap $[2]<=0 $[3]<=1 $[4]<=2 $[1,5]<=2 $[6,7]<=5 $.
            Pcase: h[2] > 6.
              Hubcap $[3]<=1 $[4]<=2 $[1,2]<=3 $[5,6]<=1 $[5,7]<=3 $[6,7]<=5 $.
            Pcase: h[2] <= 5.
              Hubcap $[4]<=2 $[1,5]<=2 $[2,3]<=1 $[6,7]<=5 $.
            Pcase: h[3] > 5.
              Hubcap $[2]<=1 $[4]<=2 $[1,3]<=3 $[5,6]<=1 $[5,7]<=3 $[6,7]<=5 $.
            Hubcap $[3]<=1 $[4]<=2 $[1,2]<=3 $[5,6]<=1 $[5,7]<=3 $[6,7]<=5 $.
          Pcase: h[2] > 5.
            Hubcap $[4]<=2 $[1,3]<=2 $[2,5]<=1 $[6,7]<=5 $.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[4]<=2 $[6]<=0 $[5,7]<=2 $.
        Pcase: s[2] <= 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=0 $[6,7]<=4 $.
        Pcase: s[5] <= 7.
          Hubcap $[1,2]<=2 $[3,5]<=1 $[4,6]<=4 $[4,7]<=6 $[6,7]<=5 $.
        Pcase: h[4] > 5.
          Hubcap $[3]<=2 $[4]<=2 $[5]<=(-1) $[1,2]<=2 $[6,7]<=5 $.
        Hubcap $[3]<=3 $[4]<=3 $[5]<=(-1) $[1,2]<=1 $[6,7]<=4 $.
      Pcase: s[3] > 6.
        Pcase: s[2] > 6.
          Pcase: h[1] > 5.
            Hubcap $[1]<=2 $[4]<=2 $[7]<=2 $[2,3]<=2 $[5,6]<=2 $.
          Pcase: f1[7] <= 5.
            Reducible.
          Pcase: h[2] > 5.
            Pcase: s[3] > 7.
              Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4]<=2 $[7]<=2 $[5,6]<=2 $.
            Pcase: s[6] > 7.
              Hubcap $[1]<=3 $[4]<=2 $[7]<=2 $[2,3]<=2 $[5,6]<=1 $.
            Pcase: h[4] > 5.
              Hubcap $[1]<=3 $[4]<=2 $[7]<=2 $[2,3]<=1 $[5,6]<=2 $.
            Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=2 $[7]<=2 $[5,6]<=2 $.
          Pcase: s[2] <= 7.
            Hubcap $[1]<=3 $[4]<=2 $[7]<=3 $[2,3]<=1 $[5,6]<=1 $.
          Pcase: s[3] > 7.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=2 $[7]<=3 $[5,6]<=1 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=1 $[4]<=2 $[7]<=3 $[5,6]<=1 $.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=2 $[7]<=3 $[5,6]<=1 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=2 $[4]<=2 $[3,7]<=1 $[5,6]<=2 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: s[5] > 7.
          Hubcap $[1]<=4 $[2]<=3 $[4]<=2 $[5]<=0 $[6]<=0 $[3,7]<=1 $.
        Pcase: s[6] > 7.
          Hubcap $[1]<=4 $[4]<=2 $[6]<=(-1) $[2,3]<=1 $[5,7]<=4 $.
        Pcase: h[5] > 5.
          Hubcap $[1]<=4 $[2]<=3 $[4]<=2 $[3,7]<=1 $[5,6]<=0 $.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=(-2) $[4]<=2 $[6]<=(-1) $[5,7]<=4 $.
      Pcase: s[2] <= 6.
        Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[7]<=1 $[5,6]<=2 $.
      Pcase: h[4] > 6.
        Hubcap $[1]<=3 $[3]<=1 $[4]<=2 $[2,7]<=2 $[5,6]<=2 $.
      Pcase: f1[3] <= 5.
        Reducible.
      Pcase: h[4] > 5.
        Pcase: s[2] <= 7.
          Hubcap $[3]<=2 $[4]<=2 $[7]<=2 $[1,2]<=2 $[5,6]<=2 $.
        Pcase: s[5] > 7.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=2 $[5]<=0 $[6,7]<=4 $.
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=2 $[7]<=3 $[5,6]<=1 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=2 $[7]<=2 $[5,6]<=2 $.
        Pcase: h[5] > 5.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=1 $[4]<=2 $[5]<=1 $[6,7]<=4 $.
        Pcase: h[7] <= 5.
          Reducible.
        Pcase: h[6] <= 5.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=2 $[7]<=3 $[5,6]<=1 $.
        Pcase: h[7] > 6.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=(-1) $[7]<=3
                 $.
        Pcase: h[1] > 5.
          Hubcap $[1]<=2 $[2]<=(-1) $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=1 $[7]<=2 $.
        Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=2 $[7]<=3 $[5,6]<=1 $.
      Pcase: s[5] > 7.
        Hubcap $[3]<=3 $[4]<=3 $[5]<=0 $[1,2]<=1 $[6,7]<=3 $.
      Pcase: s[6] > 7.
        Hubcap $[4]<=3 $[1,2]<=1 $[3,6]<=2 $[5,7]<=4 $.
      Pcase: h[2] > 5.
        Hubcap $[1]<=3 $[2]<=(-2) $[4]<=3 $[3,6]<=3 $[5,7]<=3 $.
      Pcase: h[5] > 5.
        Hubcap $[3]<=2 $[4]<=3 $[5]<=1 $[1,2]<=1 $[6,7]<=3 $.
      Hubcap $[3]<=3 $[4]<=3 $[6]<=(-1) $[1,2]<=1 $[5,7]<=4 $.
    Pcase: s[7] > 6.
      Similar to *L2_1[3].
    Pcase: s[6] <= 6.
      Reducible.
    Pcase L2_2: h[5] > 5.
      Pcase L3_1: s[2] > 7.
        Pcase: s[3] > 7.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=2 $[5]<=2 $[6]<=(-1) $[7]<=3 $.
        Pcase: s[3] > 6.
          Pcase: s[6] > 7.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=(-2) $[7]<=3 $.
          Pcase: h[6] <= 5.
            Reducible.
          Pcase: h[7] <= 5.
            Reducible.
          Pcase: h[2] > 5.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=(-1) $[7]<=2 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=1 $[4]<=2 $[5]<=1 $[6]<=(-1) $[7]<=3 $.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=(-1) $[7]<=3
                 $.
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=3 $[5]<=2 $[6]<=(-2) $[7]<=3
                 $.
        Pcase: h[6] <= 5.
          Reducible.
        Pcase: h[7] <= 5.
          Reducible.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=2 $[4]<=3 $[5]<=2 $[6]<=(-1) $[7]<=2
                 $.
        Pcase: h[4] > 5.
          Hubcap $[1]<=3 $[2]<=(-1) $[3]<=1 $[4]<=2 $[5]<=1 $[6]<=(-1) $[7]<=3
                 $.
        Hubcap $[1]<=3 $[2]<=(-2) $[3]<=2 $[4]<=3 $[5]<=2 $[6]<=(-1) $[7]<=3 $.
      Pcase: h[1] > 6.
        Hubcap $[5]<=2 $[6]<=(-1) $[7]<=1 $[1,3]<=4 $[2,4]<=4 $.
      Pcase: f1[7] <= 5.
        Reducible.
      Pcase L3_2: s[3] <= 6.
        Pcase: h[3] <= 5.
          Reducible.
        Pcase: s[2] > 6.
          Hubcap $[3]<=2 $[4]<=3 $[5]<=2 $[6]<=(-1) $[7]<=2 $[1,2]<=2 $.
        Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[6]<=(-1) $[7]<=1 $.
      Pcase: s[2] > 6.
        Pcase: s[3] <= 7.
          Hubcap $[1]<=3 $[4]<=2 $[6]<=(-1) $[2,3]<=2 $[5,7]<=4 $.
        Pcase: h[1] > 5.
          Similar to *L3_1[3].
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=2 $[6]<=(-2) $[7]<=3 $.
        Pcase: h[6] <= 5.
          Reducible.
        Pcase: h[7] <= 5.
          Reducible.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4]<=2 $[5]<=2 $[6]<=(-1) $[7]<=2 $.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4]<=2 $[5]<=2 $[6]<=(-1) $[7]<=3 $.
      Pcase: h[1] > 5.
        Similar to *L3_2[3].
      Pcase: s[3] <= 7.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[4]<=2 $[5]<=1 $[6,7]<=1 $.
      Pcase: h[2] > 5.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4]<=2 $[5]<=2 $[6]<=(-1) $[7]<=2 $.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=(-2) $[4]<=2 $[5]<=2 $[6]<=(-2) $[7]<=3 $.
    Pcase: h[1] > 5.
      Similar to *L2_2[3].
    Pcase: f1[5] <= 5.
      Reducible.
    Pcase: f1[7] <= 5.
      Reducible.
    Pcase L2_3: s[2] <= 6.
      Pcase: s[3] <= 6.
        Reducible.
      Pcase: h[2] <= 5.
        Reducible.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4]<=3 $[5]<=3 $[6]<=(-2) $[7]<=2 $.
    Pcase: s[3] <= 6.
      Similar to *L2_3[3].
    Pcase: h[2] > 5.
      Hubcap $[1]<=3 $[4]<=3 $[5]<=3 $[6]<=(-2) $[7]<=2 $[2,3]<=1 $.
    Pcase: s[2] <= 7.
      Hubcap $[1]<=3 $[2]<=1 $[3]<=(-1) $[4]<=3 $[5]<=3 $[6]<=(-2) $[7]<=3 $.
    Pcase: s[3] > 7.
      Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=3 $[5]<=3 $[6]<=(-2) $[7]<=3 $.
    Pcase: h[4] > 5.
      Hubcap $[1]<=3 $[2]<=0 $[3]<=1 $[4]<=3 $[5]<=2 $[6]<=(-2) $[7]<=3 $.
    Hubcap $[1]<=3 $[2]<=(-1) $[3]<=1 $[4]<=3 $[5]<=3 $[6]<=(-2) $[7]<=3 $.
  Pcase: s[5] <= 5.
    Similar to L1_3[4].
  Pcase L1_4: h[4] <= 5.
    Pcase L2_1: s[2] > 7.
      Pcase: s[4] > 7.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=0 $[5]<=2 $[6,7]<=5 $.
      Pcase: s[7] > 7.
        Hubcap $[1]<=2 $[2]<=0 $[7]<=0 $[3,4]<=4 $[5,6]<=4 $.
      Pcase: s[3] <= 6.
        Pcase: s[5] > 7.
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=2 $[5]<=0 $[6,7]<=5 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[2]<=0 $[5]<=0 $[3,4]<=3 $[6,7]<=4 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[7]<=3 $.
          Hubcap $[1]<=3 $[2]<=0 $[5]<=(-1) $[3,4]<=3 $[6,7]<=5 $.
        Pcase: s[6] > 8.
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=4 $[5]<=0 $[6]<=0 $[7]<=3 $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=0 $[6]<=0 $[3,4]<=3 $[5,7]<=4 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=4 $.
          Hubcap $[1]<=3 $[2]<=0 $[6]<=(-1) $[3,4]<=4 $[5,7]<=4 $.
        Pcase: h[7] > 6.
          Pcase: s[4] > 6.
            Hubcap $[2]<=0 $[3]<=0 $[6,7]<=3 $[1,4]<=6 $[1,5]<=4 $[4,5]<=5 $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=0 $[6]<=0 $[3,4]<=3 $[5,7]<=4 $.
          Pcase: s[6] <= 6.
            Hubcap $[1]<=2 $[2]<=0 $[5]<=2 $[3,4]<=4 $[6,7]<=2 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=4 $[6,7]<=2 $.
          Hubcap $[2]<=0 $[1,5]<=4 $[3,4]<=4 $[6,7]<=2 $.
        Pcase: s[4] > 6.
          Pcase: s[6] > 7.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[5]<=0 $[7]<=3 $[4,6]<=4 $.
          Pcase: s[5] > 6.
            Pcase: s[6] > 6.
              Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=2 $[5]<=0 $[6,7]<=5 $.
            Pcase: s[7] > 6.
              Hubcap $[1]<=2 $[2]<=0 $[3]<=0 $[4]<=2 $[5]<=2 $[6]<=0 $[7]<=4 $.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=2 $[5]<=0 $[6,7]<=5 $.
          Pcase: s[6] <= 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=0 $[4,6]<=4 $[5,7]<=4 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=0 $[4]<=4 $[5]<=0 $[6,7]<=3 $.
          Hubcap $[2]<=0 $[3]<=0 $[5]<=0 $[1,4]<=6 $[6,7]<=4 $.
        Pcase: s[5] > 6.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[5]<=2 $[6]<=0 $[7]<=3 $[3,4]<=3 $.
          Pcase: s[6] > 6.
            Hubcap $[2]<=0 $[1,5]<=4 $[3,4]<=3 $[6,7]<=3 $.
          Hubcap $[2]<=0 $[1,5]<=2 $[3,4]<=3 $[6,7]<=5 $.
        Pcase: h[5] > 6.
          Hubcap $[2]<=0 $[1,5]<=3 $[3,4]<=3 $[6,7]<=4 $.
        Pcase: s[6] <= 6.
          Pcase: s[7] <= 6.
            Reducible.
          Pcase: h[5] > 5.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=3 $.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=1 $[4]<=3 $[6]<=1 $[5,7]<=3 $.
        Pcase: s[7] > 6.
          Pcase: s[6] > 7.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=4 $.
          Pcase: h[5] > 5.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=3 $.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=1 $[4]<=3 $[5]<=1 $[6,7]<=3 $.
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[2]<=0 $[6]<=(-1) $[3,4]<=4 $[5,7]<=4 $.
        Pcase: h[5] > 5.
          Hubcap $[2]<=0 $[1,3]<=4 $[4,5]<=3 $[6,7]<=3 $.
        Pcase: f1[4] <= 6.
          Reducible.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=1 $[4]<=3 $[5]<=1 $[6,7]<=2 $.
        Pcase: h[6] <= 6.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=1 $[4]<=3 $[5]<=1 $[6,7]<=2 $.
        Pcase: h[7] > 5.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=1 $[4]<=3 $[5]<=1 $[6,7]<=2 $.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=1 $[4]<=3 $[5]<=1 $[6]<=1 $[7]<=2 $.
      Pcase: s[5] > 7.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
      Pcase: s[7] > 6.
        Pcase: s[3] > 7.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=0 $[4,5]<=4 $[6,7]<=4 $.
        Pcase: s[4] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=0 $[4]<=2 $[5]<=2 $[6,7]<=4 $.
        Pcase: s[5] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=0 $[6]<=0 $[5,7]<=5 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=3 $.
        Pcase: h[5] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=0 $[5]<=2 $[6,7]<=4 $.
        Pcase: h[5] <= 5.
          Hubcap $[1]<=2 $[2]<=0 $[4]<=2 $[3,6]<=3 $[5,7]<=3 $.
        Pcase: h[6] > 5.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=2 $[6,7]<=4 $.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=1 $[4]<=2 $[5]<=3 $[6,7]<=2 $.
      Pcase: s[6] > 8.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[6]<=(-1) $[7]<=3 $[4,5]<=3 $.
      Pcase: s[4] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4,5]<=2 $[6,7]<=5 $.
      Pcase: s[6] <= 6.
        Pcase: s[3] > 7.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4,5]<=2 $[6,7]<=5 $.
        Pcase: s[5] > 6.
          Hubcap $[2]<=0 $[3]<=2 $[4]<=0 $[1,5]<=3 $[6,7]<=5 $.
        Hubcap $[2]<=0 $[1,4]<=3 $[3,5]<=2 $[6,7]<=5 $.
      Pcase: s[3] > 7.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4,5]<=3 $[6,7]<=4 $.
      Pcase: h[5] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=3 $.
      Pcase: h[7] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=2 $.
      Pcase: h[1] > 5.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=3 $.
      Pcase: f1[7] <= 5.
        Reducible.
      Pcase: h[2] > 5.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=0 $[7]<=2 $[5,6]<=3 $.
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=(-1) $[7]<=2 $.
        Pcase: h[5] <= 5.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=1 $[6]<=0 $[7]<=2 $.
        Pcase: h[6] <= 6.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[6]<=1 $[7]<=2 $[4,5]<=2 $.
        Pcase: h[7] > 5.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[6]<=1 $[7]<=2 $[4,5]<=2 $.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[6]<=2 $[7]<=2 $[4,5]<=1 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=0 $[7]<=3 $[5,6]<=2 $.
      Pcase: s[6] > 7.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[6]<=(-1) $[7]<=3 $[4,5]<=3 $.
      Pcase: h[6] <= 5.
        Reducible.
      Pcase: h[5] <= 5.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=1 $[6]<=(-1) $[7]<=3 $.
      Pcase: h[7] > 5.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[6]<=0 $[7]<=3 $[4,5]<=2 $.
      Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[6]<=1 $[7]<=3 $[4,5]<=1 $.
    Pcase: s[7] > 7.
      Pcase: h[6] <= 5.
        Similar to *L2_1[6].
      Pcase: s[4] > 7.
        Hubcap $[1]<=3 $[4]<=0 $[7]<=0 $[2,3]<=5 $[5,6]<=2 $.
      Pcase: s[5] > 7.
        Hubcap $[1]<=3 $[2]<=4 $[5]<=0 $[6]<=0 $[7]<=0 $[3,4]<=3 $.
      Pcase: s[4] > 6.
        Pcase: s[2] > 6.
          Hubcap $[1]<=2 $[3]<=0 $[7]<=0 $[2,4]<=5 $[5,6]<=2 $.
        Pcase: s[3] > 7.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4]<=2 $[7]<=0 $[5,6]<=2 $.
        Pcase: s[3] <= 6.
          Hubcap $[7]<=0 $[1,4]<=3 $[2,3]<=5 $[5,6]<=2 $.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=1 $[6]<=0 $[7]<=0 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=2 $[5]<=0 $[6]<=1 $[7]<=0 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=2 $[7]<=0 $[5,6]<=2 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: h[3] > 5.
          Hubcap $[1]<=3 $[4]<=2 $[7]<=0 $[2,3]<=3 $[5,6]<=2 $.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=1 $[7]<=0 $[5,6]<=2 $.
      Pcase: s[3] <= 6.
        Hubcap $[1]<=2 $[3]<=2 $[7]<=0 $[2,4]<=3 $[5,6]<=3 $.
      Pcase: s[6] > 7.
        Hubcap $[1]<=3 $[6]<=0 $[7]<=0 $[2,3]<=4 $[4,5]<=3 $.
      Pcase: s[2] > 6.
        Pcase: s[3] > 7.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=2 $[7]<=0 $[5,6]<=4 $.
        Hubcap $[1]<=2 $[2]<=1 $[7]<=0 $[3,6]<=3 $[4,5]<=4 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=3 $[4]<=0 $[5]<=4 $[6]<=0 $[7]<=0 $[2,3]<=3 $.
      Pcase: s[6] > 6.
        Hubcap $[1]<=3 $[6]<=1 $[7]<=0 $[2,3]<=3 $[4,5]<=3 $.
      Pcase: s[3] > 7.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4]<=2 $[7]<=0 $[5,6]<=3 $.
      Hubcap $[1]<=3 $[2]<=2 $[7]<=0 $[3,4]<=2 $[5,6]<=3 $.
    Pcase L2_2: s[4] > 7.
      Pcase: s[7] > 6.
        Pcase: s[2] > 6.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=0 $[5,6]<=3 $[5,7]<=4 $[6,7]<=4
                 $.
        Pcase: s[3] > 7.
          Hubcap $[1]<=3 $[3]<=(-1) $[4]<=0 $[2,5]<=4 $[6,7]<=4 $.
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=2 $[2,3]<=5 $.
        Pcase: s[3] > 6.
          Pcase: s[5] > 7.
            Hubcap $[1]<=3 $[3]<=1 $[4]<=0 $[5]<=0 $[6]<=0 $[2,7]<=6 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=0 $[6,7]<=3 $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=2 $[3]<=1 $[4]<=0 $[2,5]<=3 $[6,7]<=4 $.
          Hubcap $[1]<=3 $[4]<=0 $[3,7]<=2 $[2,5]<=4 $[2,6]<=4 $[5,6]<=3 $.
        Pcase: s[5] > 7.
          Hubcap $[4]<=(-1) $[5]<=0 $[6]<=0 $[1,7]<=6 $[2,3]<=5 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[4]<=(-1) $[5]<=0 $[2,3]<=5 $[6,7]<=3 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[4]<=(-1) $[2,3]<=4 $[5,6]<=3 $[5,7]<=4 $[6,7]<=4 $.
        Pcase: h[7] <= 5.
          Reducible.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[4]<=(-1) $[6]<=0 $[2,3]<=5 $[5,7]<=3 $.
        Pcase: h[3] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=0 $[4]<=(-1) $[5]<=2 $[6,7]<=3 $.
        Pcase: h[3] <= 5.
          Hubcap $[1]<=3 $[3]<=1 $[4]<=(-1) $[2,5]<=5 $[6,7]<=2 $.
        Pcase: h[6] > 5.
          Hubcap $[1]<=3 $[4]<=(-1) $[5,6]<=2 $[2,3]<=5 $[2,7]<=5 $[3,7]<=3 $.
        Hubcap $[1]<=3 $[4]<=(-1) $[2,3]<=5 $[5,6]<=3 $[5,7]<=2 $[6,7]<=2 $.
      Pcase: s[6] > 7.
        Hubcap $[4]<=0 $[5]<=0 $[7]<=3 $[1,6]<=3 $[2,3]<=4 $.
      Pcase: s[6] > 6.
        Pcase: s[2] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=4 $.
        Pcase: s[3] > 7.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[4]<=0 $[5]<=0 $[6,7]<=4 $.
        Pcase: s[3] > 6.
          Pcase: h[2] > 5.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=2 $.
          Hubcap $[1]<=4 $[2]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[3,7]<=3 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=3 $[4]<=(-1) $[5]<=0 $[6]<=2 $[3,7]<=3 $.
        Hubcap $[1]<=4 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=3 $[2,3]<=4 $.
      Pcase: f1[7] <= 5.
        Pcase: h[1] <= 6.
          Reducible.
        Pcase: s[2] > 6.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=1 $[6]<=2 $[7]<=2 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[3]<=1 $[4]<=0 $[5]<=1 $[7]<=2 $[2,6]<=3 $.
        Hubcap $[4]<=(-1) $[5]<=1 $[7]<=2 $[1,6]<=4 $[2,3]<=4 $.
      Pcase: h[7] <= 5.
        Pcase: s[2] > 6.
          Hubcap $[1]<=3 $[3]<=0 $[4]<=0 $[5]<=1 $[6]<=1 $[2,7]<=5 $.
        Pcase: h[2] <= 5.
          Reducible.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=0 $[6]<=1 $[5,7]<=4 $.
        Hubcap $[4]<=(-1) $[6]<=1 $[5,7]<=4 $[1,2]<=5 $[1,3]<=4 $[2,3]<=4 $.
      Pcase: s[5] > 6.
        Pcase: s[2] > 6.
          Hubcap $[3]<=0 $[4]<=0 $[5]<=0 $[1,2]<=5 $[6,7]<=5 $.
        Pcase: s[3] > 7.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[4]<=0 $[5]<=0 $[6,7]<=4 $.
        Pcase: s[3] > 6.
          Pcase: s[5] > 7.
            Hubcap $[1]<=4 $[4]<=0 $[5]<=(-1) $[2,3]<=3 $[6,7]<=4 $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=0 $[5]<=0 $[6,7]<=4 $.
          Hubcap $[1]<=4 $[2]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[3,7]<=3 $.
        Pcase: s[5] > 7.
          Hubcap $[1]<=4 $[4]<=(-1) $[5]<=(-1) $[2,3]<=4 $[6,7]<=4 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[4]<=(-1) $[5]<=0 $[2,3]<=4 $[6,7]<=4 $.
        Hubcap $[1]<=4 $[4]<=(-1) $[5]<=0 $[6]<=0 $[7]<=3 $[2,3]<=4 $.
      Pcase: s[2] > 6.
        Hubcap $[1]<=3 $[3]<=0 $[4]<=0 $[2,6]<=4 $[5,7]<=3 $.
      Pcase: s[3] > 7.
        Hubcap $[1]<=4 $[3]<=(-1) $[4]<=0 $[2,5]<=3 $[6,7]<=4 $.
      Pcase: s[3] > 6.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[4]<=0 $[5]<=1 $[2,3]<=2 $[6,7]<=4 $.
        Hubcap $[4]<=0 $[1,3]<=4 $[2,5]<=3 $[6,7]<=3 $.
      Pcase: h[2] > 5.
        Hubcap $[4]<=(-1) $[1,5]<=3 $[2,3]<=4 $[6,7]<=4 $.
      Hubcap $[4]<=(-1) $[1,5]<=4 $[2,3]<=4 $[6,7]<=3 $.
    Pcase: s[5] > 7.
      Pcase: h[6] <= 5.
        Similar to *L2_2[6].
      Pcase: s[7] > 6.
        Pcase: s[3] > 7.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=4 $.
        Pcase: s[4] <= 6.
          Pcase: s[2] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[5]<=0 $[6]<=0 $[4,7]<=5 $.
          Hubcap $[2]<=2 $[3]<=2 $[5]<=0 $[6]<=0 $[1,4]<=3 $[1,7]<=6 $[4,7]<=4
                 $.
        Pcase: s[2] > 6.
          Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[6]<=0 $[7]<=4 $[2,4]<=4 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[3]<=1 $[4]<=0 $[5]<=0 $[6]<=0 $[2,7]<=6 $.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Hubcap $[4]<=0 $[5]<=0 $[6]<=0 $[1,7]<=5 $[2,3]<=5 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[2]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[3,7]<=5 $.
        Hubcap $[1]<=3 $[2]<=4 $[4]<=0 $[5]<=0 $[6]<=0 $[3,7]<=3 $.
      Pcase: s[6] > 6.
        Pcase: h[2] > 5.
          Pcase: s[3] > 6.
            Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=2 $[2,3]<=3 $.
          Pcase: s[4] <= 6.
            Hubcap $[5]<=0 $[1,2]<=4 $[3,4]<=3 $[6,7]<=3 $.
          Pcase: s[6] > 7.
            Hubcap $[1]<=3 $[5]<=0 $[6]<=0 $[2,4]<=4 $[3,7]<=3 $.
          Pcase: s[2] > 6.
            Hubcap $[1]<=3 $[3]<=0 $[5]<=0 $[6]<=2 $[7]<=2 $[2,4]<=3 $.
          Hubcap $[4]<=0 $[5]<=0 $[6]<=2 $[1,2]<=5 $[3,7]<=3 $.
        Pcase: s[3] > 7.
          Hubcap $[1]<=4 $[3]<=0 $[4]<=0 $[5]<=0 $[7]<=3 $[2,6]<=3 $.
        Pcase: s[4] <= 6.
          Hubcap $[5]<=0 $[1,6]<=4 $[2,4]<=2 $[3,7]<=4 $.
        Pcase: s[2] > 6.
          Hubcap $[3]<=0 $[4]<=1 $[5]<=0 $[1,2]<=5 $[6,7]<=4 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: s[3] > 6.
          Hubcap $[1]<=4 $[2]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[3,7]<=3 $.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: s[6] > 7.
          Hubcap $[1]<=4 $[4]<=0 $[5]<=0 $[6]<=(-1) $[7]<=3 $[2,3]<=4 $.
        Pcase: h[3] > 6.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
        Pcase: h[3] <= 5.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=1 $.
        Pcase: h[7] > 5.
          Hubcap $[1]<=4 $[4]<=0 $[5]<=0 $[6]<=(-1) $[7]<=3 $[2,3]<=4 $.
        Pcase: f2[6] <= 5.
          Reducible.
        Pcase: h[1] > 5.
          Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=2 $[2,3]<=4 $.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
      Pcase: s[3] > 7.
        Hubcap $[3]<=0 $[4]<=0 $[5]<=(-1) $[1,6]<=5 $[2,7]<=6 $.
      Pcase: s[2] > 6.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[4]<=0 $[5]<=(-1) $[2,3]<=3 $[6,7]<=5 $.
        Pcase: s[4] <= 6.
          Hubcap $[1]<=3 $[5]<=(-1) $[6,7]<=5 $[2,3]<=2 $[2,4]<=2 $[3,4]<=3 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[3]<=0 $[4]<=2 $[5]<=(-1) $[6]<=2 $[2,7]<=4 $.
        Hubcap $[1]<=3 $[3]<=0 $[4]<=1 $[5]<=(-1) $[6]<=2 $[2,7]<=5 $.
      Pcase: s[3] > 6.
        Hubcap $[4]<=0 $[5]<=(-1) $[1,3]<=4 $[2,6]<=4 $[2,7]<=6 $[6,7]<=5 $.
      Pcase: s[4] <= 6.
        Hubcap $[4]<=1 $[5]<=(-1) $[6,7]<=5 $[1,2]<=4 $[1,3]<=4 $[2,3]<=3 $.
      Pcase: f1[4] <= 5.
        Reducible.
      Pcase: h[2] > 5.
        Hubcap $[4]<=0 $[5]<=(-1) $[6,7]<=5 $[1,2]<=5 $[1,3]<=4 $[2,3]<=4 $.
      Hubcap $[1]<=4 $[4]<=0 $[5]<=(-1) $[6]<=0 $[7]<=3 $[2,3]<=4 $.
    Pcase L2_3: s[6] > 7.
      Pcase: s[3] > 7.
        Pcase L4_1: s[7] > 6.
          Pcase: s[2] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=2 $[6]<=0 $[7]<=2 $.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[6]<=0 $[7]<=2 $[4,5]<=3 $.
        Pcase: s[2] > 6.
          Pcase: h[6] <= 5.
            Similar to *L4_1[6].
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=0 $[6]<=0 $[7]<=3 $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=3 $.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[6]<=(-1) $[7]<=3 $[4,5]<=3 $.
        Pcase: s[4] > 6.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[4]<=2 $[5]<=0 $[6,7]<=2 $.
        Pcase: s[5] > 6.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=2 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4]<=2 $[5]<=2 $[6]<=(-1) $[7]<=2
                 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: h[5] > 5.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[6]<=(-1) $[7]<=3 $[4,5]<=2 $.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4]<=2 $[5]<=1 $[6]<=(-1) $[7]<=2 $.
      Pcase: s[7] > 6.
        Pcase: s[4] > 6.
          Pcase: s[2] > 6.
            Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[6]<=0 $[7]<=2 $[2,4]<=5 $.
          Pcase: s[3] <= 6.
            Hubcap $[1]<=3 $[5]<=0 $[6]<=0 $[2,4]<=4 $[3,7]<=3 $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=2 $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $.
          Hubcap $[1]<=3 $[2]<=3 $[4]<=2 $[5]<=0 $[6]<=0 $[3,7]<=2 $.
        Pcase: s[2] > 6.
          Pcase: s[3] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=3 $.
          Hubcap $[1]<=2 $[6]<=0 $[7]<=2 $[2,3]<=2 $[4,5]<=4 $.
        Pcase: h[3] <= 5.
          Reducible.
        Pcase: s[3] > 6.
          Hubcap $[2]<=2 $[3]<=1 $[6]<=0 $[1,7]<=4 $[4,5]<=3 $.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[7]<=2 $.
      Pcase: f1[7] <= 5.
        Pcase: h[1] <= 6.
          Reducible.
        Pcase: s[2] > 6.
          Hubcap $[1]<=2 $[6]<=(-1) $[7]<=1 $[2,3]<=3 $[4,5]<=4 $.
        Hubcap $[1]<=3 $[6]<=(-1) $[7]<=1 $[2,3]<=4 $[4,5]<=3 $.
      Pcase: h[3] <= 5.
        Pcase: s[3] <= 6.
          Hubcap $[2]<=3 $[5]<=0 $[7]<=2 $[1,6]<=2 $[3,4]<=3 $.
        Pcase: s[5] > 6.
          Hubcap $[4]<=0 $[1,6]<=3 $[2,5]<=3 $[3,7]<=4 $.
        Pcase: s[2] <= 6.
          Hubcap $[1]<=4 $[2]<=3 $[4]<=1 $[5]<=0 $[6]<=(-1) $[3,7]<=3 $.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[2]<=3 $[3]<=0 $[4]<=2 $[5]<=0 $[6]<=(-1) $[7]<=3 $.
        Hubcap $[1]<=3 $[2]<=1 $[6]<=(-1) $[3,7]<=4 $[4,5]<=3 $.
      Pcase: h[5] > 6.
        Pcase: s[2] > 6.
          Hubcap $[1]<=3 $[5]<=0 $[6]<=0 $[2,3]<=3 $[4,7]<=4 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=0 $[6,7]<=2 $.
        Pcase: s[4] > 6.
          Hubcap $[1]<=4 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=2 $.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=2 $.
      Pcase: h[1] > 6.
        Pcase: s[2] > 6.
          Hubcap $[1]<=2 $[6]<=0 $[7]<=1 $[2,3]<=3 $[4,5]<=4 $.
        Hubcap $[7]<=1 $[1,6]<=2 $[2,3]<=4 $[4,5]<=3 $.
      Pcase: s[4] > 6.
        Pcase: s[2] > 6.
          Hubcap $[3]<=0 $[5]<=0 $[6]<=0 $[1,2]<=5 $[4,7]<=5 $.
        Pcase: s[3] <= 6.
          Hubcap $[5]<=0 $[1,4]<=4 $[2,3]<=4 $[6,7]<=2 $.
        Pcase: s[5] > 6.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=0 $[6,7]<=2 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=2 $[5]<=0 $[6]<=(-1) $[7]<=2 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: h[3] > 6.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[4]<=2 $[5]<=0 $[6]<=(-1) $[7]<=3
                 $.
        Pcase: h[5] > 5.
          Hubcap $[1]<=4 $[2]<=3 $[4]<=1 $[5]<=0 $[6]<=(-1) $[3,7]<=3 $.
        Pcase: h[1] > 5.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=2 $[5]<=0 $[6]<=(-1) $[7]<=2 $.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[4]<=2 $[5]<=0 $[6]<=(-1) $[7]<=3 $.
      Pcase: s[3] <= 6.
        Pcase: s[2] <= 6.
          Hubcap $[1]<=3 $[2]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[3,7]<=3 $.
        Pcase: s[5] > 6.
          Hubcap $[6]<=0 $[1,5]<=4 $[2,3]<=2 $[4,7]<=4 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=3 $[6]<=(-1) $[5,7]<=3 $.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[6]<=(-1) $[7]<=3 $[4,5]<=3 $.
      Pcase: s[2] > 6.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[4]<=0 $[5]<=2 $[6]<=0 $[3,7]<=4 $.
        Hubcap $[1]<=3 $[2]<=1 $[6]<=(-1) $[3,7]<=4 $[4,5]<=3 $.
      Pcase: f2[3] <= 5.
        Reducible.
      Pcase: s[5] > 6.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=2 $.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[6]<=(-1) $[7]<=2 $[4,5]<=3 $.
    Pcase L2_4: h[1] > 5.
      Pcase: s[3] > 7.
        Pcase: h[6] <= 5.
          Similar to *L2_3[6].
        Pcase: s[5] > 6.
          Pcase: s[2] > 6.
            Hubcap $[1]<=2 $[3]<=0 $[4]<=0 $[2,7]<=4 $[5,6]<=4 $.
          Hubcap $[1]<=3 $[3]<=(-1) $[4]<=0 $[2,7]<=4 $[5,6]<=4 $.
        Pcase: s[2] > 6.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4,5]<=3 $[6,7]<=3 $.
          Pcase: s[4] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=0 $[6,7]<=4 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4,5]<=3 $[6,7]<=3 $.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=3 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4,5]<=3 $[6,7]<=3 $.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4]<=2 $[5]<=0 $[6,7]<=4 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4,5]<=3 $[6,7]<=3 $.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=3 $.
      Pcase: h[5] > 6.
        Pcase: s[2] > 6.
          Pcase: s[3] > 6.
            Hubcap $[1]<=2 $[4]<=0 $[2,3]<=3 $[5,6]<=3 $[5,7]<=4 $[6,7]<=4 $.
          Pcase: s[4] > 6.
            Pcase: s[6] > 6.
              Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[2,4]<=4 $[6,7]<=4 $.
            Pcase: s[7] > 6.
              Hubcap $[1]<=2 $[3]<=0 $[2,4]<=4 $[5,6]<=3 $[5,7]<=3 $[6,7]<=3 $.
            Pcase: s[5] <= 6.
              Reducible.
            Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[2,4]<=4 $[6,7]<=4 $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: s[5] <= 6.
            Hubcap $[1]<=2 $[2]<=1 $[7]<=2 $[3,4]<=3 $[5,6]<=2 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[5]<=0 $[3,4]<=3 $[6,7]<=4 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[6]<=0 $[5,7]<=3 $.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4,5]<=1 $[6,7]<=4 $.
        Pcase: h[2] > 5.
          Pcase: s[3] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=0 $[5]<=2 $[6,7]<=4 $.
          Pcase L5_1: s[4] > 6.
            Pcase: f1[4] <= 5.
              Reducible.
            Pcase: s[6] > 6.
              Hubcap $[1]<=2 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=4 $.
            Pcase: s[7] > 6.
              Hubcap $[1]<=2 $[4]<=0 $[6]<=1 $[2,3]<=4 $[5,7]<=3 $.
            Pcase: s[5] <= 6.
              Reducible.
            Hubcap $[1]<=2 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=4 $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: f1[3] <= 5.
            Reducible.
          Pcase: f1[4] <= 5.
            Reducible.
          Pcase: s[5] <= 6.
            Hubcap $[1]<=2 $[4]<=1 $[5]<=1 $[2,3]<=3 $[6,7]<=3 $.
          Pcase: h[6] <= 5.
            Similar to *L5_1[6].
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[4]<=1 $[5]<=0 $[2,3]<=3 $[6,7]<=4 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=0 $[7]<=2 $.
          Hubcap $[1]<=2 $[4]<=1 $[5]<=0 $[2,3]<=3 $[6,7]<=4 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=0 $[5,6]<=3 $[5,7]<=3 $[6,7]<=3
                 $.
        Pcase: s[4] <= 6.
          Reducible.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: s[5] <= 6.
          Hubcap $[1]<=3 $[4]<=0 $[2,3]<=4 $[5,6]<=2 $[5,7]<=2 $[6,7]<=3 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=2 $[2,3]<=4 $.
        Hubcap $[1]<=3 $[4]<=0 $[6]<=0 $[2,3]<=4 $[5,7]<=3 $.
      Pcase L3_1: s[2] > 6.
        Pcase: s[4] > 6.
          Pcase: s[5] > 6.
            Pcase: s[3] > 6.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=0 $[5,6]<=3 $[5,7]<=4
                     $[6,7]<=4 $.
            Pcase: s[6] > 6.
              Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[2,4]<=4 $[6,7]<=4 $.
            Pcase: s[7] > 6.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=2 $[6]<=0 $[5,7]<=3 $.
            Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[2,4]<=4 $[6,7]<=4 $.
          Pcase: h[7] <= 5.
            Pcase: s[7] > 6.
              Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[2,4]<=5 $[6,7]<=3 $.
            Pcase: h[6] <= 5.
              Reducible.
            Pcase: s[3] > 6.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=1 $[5]<=0 $[6,7]<=4 $.
            Pcase: s[6] <= 6.
              Reducible.
            Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[2,4]<=5 $[6,7]<=3 $.
          Pcase: s[6] > 6.
            Pcase: s[7] > 6.
              Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[6]<=2 $[7]<=1 $[2,4]<=5 $.
            Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[6]<=1 $[7]<=2 $[2,4]<=5 $.
          Pcase: s[3] <= 6.
            Hubcap $[1]<=2 $[3]<=0 $[5]<=1 $[2,4]<=5 $[6,7]<=2 $.
          Pcase: s[7] <= 6.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=1 $[5]<=1 $[6,7]<=3 $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=2 $[7]<=1 $[5,6]<=3 $.
          Pcase: h[3] > 5.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=2 $[7]<=1 $[5,6]<=3 $.
          Pcase: h[5] > 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=1 $[5]<=2 $[6,7]<=2 $.
          Pcase: h[6] > 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=2 $[7]<=1 $[5,6]<=2 $.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=2 $[5]<=2 $[6]<=1 $[7]<=0 $.
        Pcase: f1[4] <= 5.
          Pcase: h[5] <= 5.
            Reducible.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2,4]<=1 $[3,5]<=4 $[6,7]<=3 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4,7]<=2 $[5,6]<=3 $.
          Pcase: s[5] <= 6.
            Reducible.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4,5]<=1 $[6,7]<=4 $.
        Pcase: f1[4] <= 6.
          Pcase: h[5] <= 5.
            Reducible.
          Pcase: s[3] > 6.
            Pcase: s[6] > 6.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=0 $[5]<=1 $[6,7]<=4 $.
            Pcase: s[7] > 6.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=0 $[6]<=1 $[5,7]<=4 $.
            Pcase: s[5] <= 6.
              Reducible.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=0 $[5]<=1 $[6,7]<=4 $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: s[5] <= 6.
            Hubcap $[1]<=2 $[3]<=1 $[7]<=2 $[2,4]<=2 $[5,6]<=3 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[3]<=1 $[5]<=1 $[2,4]<=2 $[6,7]<=4 $.
          Hubcap $[1]<=2 $[3]<=1 $[2,4]<=2 $[5,6]<=3 $[5,7]<=4 $[6,7]<=4 $.
        Pcase: s[5] > 6.
          Pcase: s[3] > 6.
            Pcase: s[7] > 6.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=0 $[6]<=0 $[5,7]<=5 $.
            Pcase: s[6] > 6.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=0 $[5]<=2 $[6,7]<=3 $.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=0 $[5]<=1 $[6,7]<=4 $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: s[6] <= 6.
            Hubcap $[1]<=2 $[3]<=1 $[2,4]<=2 $[5,6]<=3 $[5,7]<=4 $[6,7]<=4 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=2 $[6]<=0 $[7]<=2 $.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4,7]<=3 $[5,6]<=3 $.
        Pcase: s[7] > 6.
          Pcase: h[2] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[5,7]<=3 $[3,4]<=4 $[3,6]<=3 $[4,6]<=4 $.
          Pcase: h[6] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[6]<=0 $[3,4]<=4 $[5,7]<=3 $.
          Pcase: h[5] > 5.
            Hubcap $[1]<=2 $[2]<=1 $[5,7]<=2 $[3,4]<=4 $[3,6]<=3 $[4,6]<=4 $.
          Pcase: s[3] <= 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=1 $[4]<=3 $[6]<=1 $[5,7]<=3 $.
          Pcase: h[6] <= 5.
            Hubcap $[1]<=2 $[2]<=1 $[4]<=1 $[3,6]<=3 $[5,7]<=3 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=1 $[6,7]<=2 $.
          Hubcap $[1]<=2 $[2]<=1 $[3,4]<=3 $[5,6]<=3 $[5,7]<=3 $[6,7]<=3 $.
        Pcase: s[6] <= 6.
          Hubcap $[1]<=2 $[2]<=1 $[5]<=1 $[3,4]<=2 $[6,7]<=4 $.
        Pcase: s[3] <= 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=3 $[6]<=1 $[5,7]<=2 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[5]<=1 $[7]<=1 $[4,6]<=3 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: h[5] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=0 $[6,7]<=3 $.
        Pcase: h[6] <= 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[5]<=1 $[7]<=2 $[4,6]<=2 $.
        Pcase: h[7] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=1 $[6,7]<=2 $.
        Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=1 $[6,7]<=3 $.
      Pcase: s[3] > 6.
        Pcase: s[7] > 6.
          Pcase: h[2] > 5.
            Pcase: h[6] <= 5.
              Similar to *L3_1[6].
            Pcase: s[4] > 6.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[6,7]<=3 $.
            Pcase: h[3] <= 5.
              Reducible.
            Pcase: f2[3] <= 5.
              Reducible.
            Pcase: s[5] > 6.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=0 $[6]<=0 $[5,7]<=5 $.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4,5]<=3 $[6,7]<=3 $.
          Pcase: f1[2] <= 5.
            Reducible.
          Pcase: h[3] <= 5.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=1 $[5,6]<=3 $[5,7]<=2 $[6,7]<=2
                   $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[4]<=0 $[5]<=4 $[6]<=0 $[3,7]<=1 $.
          Pcase: h[6] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[6]<=0 $[7]<=1 $[4,5]<=3 $.
          Pcase: h[7] <= 5.
            Pcase: s[6] <= 6.
              Reducible.
            Pcase: f2[6] <= 5.
              Reducible.
            Pcase: s[4] > 6.
              Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=2 $[5]<=0 $[6,7]<=2 $.
            Pcase: f2[3] <= 5.
              Reducible.
            Pcase: h[3] > 6.
              Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4,5]<=3 $[6,7]<=2 $.
            Pcase: h[5] > 5.
              Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4,5]<=2 $[6,7]<=2 $.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=1 $[6,7]<=2 $.
          Pcase: f1[5] <= 5.
            Pcase: s[4] > 6.
              Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4,5]<=2 $[6,7]<=2 $.
            Hubcap $[1]<=3 $[2]<=2 $[4]<=2 $[3,5]<=1 $[6,7]<=2 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4,5]<=2 $[6,7]<=2 $.
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[6]<=1 $[3,7]<=1 $[4,5]<=3 $.
          Pcase: f2[3] <= 5.
            Reducible.
          Pcase: h[3] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=1 $[6]<=1 $[5,7]<=3 $.
          Pcase: h[5] > 5.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4,5]<=3 $[6,7]<=1 $.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=1 $[6]<=1 $[5,7]<=3 $.
        Pcase: s[6] <= 6.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[3]<=1 $[4]<=0 $[2,6]<=3 $[5,7]<=3 $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=1 $[6,7]<=4 $.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=1 $[6,7]<=2 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[7]<=1 $[5,6]<=3 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $.
        Pcase: h[3] <= 5.
          Reducible.
        Pcase: f2[3] <= 5.
          Reducible.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=2 $.
        Pcase: h[3] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[6]<=0 $[7]<=2 $[4,5]<=3 $.
        Pcase: h[5] > 5.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[6]<=0 $[7]<=2 $[4,5]<=2 $.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=1 $[6]<=0 $[7]<=2 $.
      Pcase L3_2: s[4] > 6.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: h[3] > 6.
          Hubcap $[3]<=0 $[1,4]<=3 $[2,7]<=4 $[5,6]<=3 $.
        Pcase: h[7] > 5.
          Pcase: s[5] <= 6.
            Hubcap $[1,4]<=3 $[2,3]<=4 $[5,6]<=2 $[5,7]<=2 $[6,7]<=3 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=3 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=3 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=1 $[2,3]<=4 $.
          Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=3 $.
        Pcase: s[7] > 6.
          Hubcap $[2,3]<=4 $[6,7]<=3 $[1,4]<=3 $[1,5]<=3 $[4,5]<=1 $.
        Pcase: s[6] > 6.
          Hubcap $[5]<=0 $[1,4]<=3 $[2,3]<=4 $[6,7]<=3 $.
        Pcase: s[5] <= 6.
          Reducible.
        Pcase: h[2] <= 5.
          Reducible.
        Hubcap $[1]<=2 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=4 $.
      Pcase: h[2] <= 5.
        Reducible.
      Pcase: h[3] <= 5.
        Reducible.
      Pcase: f1[3] <= 5.
        Reducible.
      Pcase: f1[4] <= 5.
        Reducible.
      Pcase: s[5] <= 6.
        Hubcap $[1]<=2 $[4]<=1 $[5]<=1 $[2,3]<=3 $[6,7]<=3 $.
      Pcase: h[6] <= 5.
        Similar to *L3_2[6].
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=1 $[6]<=0 $[5,7]<=3 $.
      Pcase: s[6] > 6.
        Hubcap $[1]<=2 $[4]<=1 $[5]<=1 $[6]<=2 $[7]<=1 $[2,3]<=3 $.
      Hubcap $[1]<=2 $[4]<=1 $[5]<=0 $[2,3]<=3 $[6,7]<=4 $.
    Pcase L2_5: s[2] > 6.
      Pcase: s[4] > 6.
        Pcase: s[7] > 6.
          Pcase: s[3] > 7.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4,5]<=2 $[6,7]<=4 $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=2 $[3]<=0 $[6]<=0 $[2,4]<=4 $[5,7]<=4 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[2,4]<=5 $[6,7]<=3 $.
          Pcase: h[6] <= 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=2 $[5]<=1 $[6]<=1 $[7]<=1 $.
          Pcase: s[3] > 6.
            Hubcap $[1]<=2 $[3]<=0 $[4]<=1 $[2,7]<=6 $[5,6]<=1 $.
          Pcase: h[2] > 5.
            Hubcap $[1]<=2 $[3]<=0 $[2,4]<=4 $[5,6]<=1 $[5,7]<=4 $[6,7]<=4 $.
          Pcase: f1[4] <= 5.
            Reducible.
          Pcase: h[3] > 6.
            Hubcap $[1]<=2 $[3]<=0 $[4]<=2 $[2,6]<=2 $[5,7]<=4 $.
          Pcase: h[3] <= 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=2 $[7]<=2 $[5,6]<=1 $.
          Pcase: h[5] > 6.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=1 $[6]<=0 $[5,7]<=4 $.
          Pcase: h[5] <= 5.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=2 $[5,6]<=1 $[5,7]<=4 $[6,7]<=4
                   $.
          Pcase: h[6] > 6.
            Hubcap $[1]<=2 $[3]<=0 $[4]<=2 $[5]<=0 $[6]<=0 $[2,7]<=6 $.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=2 $[6]<=0 $[5,7]<=3 $.
        Pcase: f1[7] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[3]<=0 $[5]<=0 $[2,4]<=3 $[6,7]<=4 $.
          Pcase: h[2] > 6.
            Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=3 $[5]<=0 $[6]<=2 $[7]<=2 $.
          Pcase: h[2] <= 5.
            Hubcap $[1]<=3 $[3]<=0 $[4]<=2 $[5]<=0 $[7]<=3 $[2,6]<=2 $.
          Pcase: h[6] <= 5.
            Similar to *L2_4[6].
          Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[5]<=0 $[7]<=2 $[4,6]<=4 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[3]<=0 $[4,5]<=1 $[2,6]<=3 $[2,7]<=5 $[6,7]<=5 $.
        Pcase: s[5] <= 6.
          Reducible.
        Pcase: h[3] <= 5.
          Reducible.
        Pcase: h[2] > 5.
          Hubcap $[1]<=3 $[3]<=0 $[5]<=0 $[2,4]<=2 $[6,7]<=5 $.
        Hubcap $[1]<=3 $[3]<=0 $[4]<=1 $[5]<=0 $[2,6]<=3 $[2,7]<=5 $[6,7]<=5 $.
      Pcase: h[2] <= 5.
        Pcase: h[5] <= 5.
          Pcase: f1[4] <= 6.
            Reducible.
          Pcase: s[6] <= 6.
            Hubcap $[1]<=2 $[4]<=1 $[6]<=0 $[2,3]<=2 $[5,7]<=5 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2,3]<=2 $[4,5]<=3 $[6,7]<=3 $.
          Pcase: f1[7] <= 5.
            Reducible.
          Pcase: s[3] <= 6.
            Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=0 $[7]<=3 $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[4]<=0 $[7]<=3 $[2,3]<=2 $[5,6]<=2 $.
          Hubcap $[1]<=3 $[4]<=2 $[5]<=1 $[6]<=(-1) $[7]<=3 $[2,3]<=2 $.
        Pcase: s[7] > 6.
          Pcase: s[3] <= 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4,5]<=3 $[6,7]<=3 $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=0 $[6]<=0 $[5,7]<=5 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4,5]<=2 $[6,7]<=3 $.
          Pcase: h[5] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=0 $[5]<=1 $[6,7]<=4 $.
          Pcase: h[6] > 5.
            Hubcap $[1]<=2 $[6]<=0 $[7]<=4 $[2,3]<=2 $[4,5]<=2 $.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[6]<=1 $[7]<=1 $[4,5]<=3 $.
        Pcase: f1[7] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Pcase: s[3] > 7.
            Hubcap $[1]<=3 $[3]<=0 $[7]<=3 $[2,6]<=2 $[4,5]<=2 $.
          Pcase: s[3] <= 6.
            Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[6]<=0 $[7]<=3 $[4,5]<=2 $.
          Pcase: f1[2] <= 5.
            Reducible.
          Pcase: f2[3] <= 5.
            Reducible.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=0 $[5]<=1 $[6]<=1 $[7]<=3 $.
          Pcase: h[6] <= 5.
            Reducible.
          Pcase: h[5] > 6.
            Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=3 $.
          Pcase: h[7] > 5.
            Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[6]<=0 $[7]<=3 $[4,5]<=2 $.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[6]<=1 $[7]<=3 $[4,5]<=1 $.
        Pcase: s[3] > 7.
          Hubcap $[1]<=3 $[3]<=0 $[4]<=0 $[5]<=1 $[2,6]<=3 $[2,7]<=5 $[6,7]<=5
                 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4,5]<=0 $[6,7]<=5 $.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
      Pcase: h[6] <= 5.
        Similar to *L2_4[6].
      Pcase: s[6] <= 6.
        Pcase: s[3] > 7.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4,7]<=4 $[5,6]<=2 $.
        Pcase: s[7] > 6.
          Pcase: s[3] > 6.
            Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[6]<=0 $[7]<=4 $[4,5]<=2 $.
          Hubcap $[1]<=2 $[2]<=0 $[5]<=2 $[6]<=0 $[7]<=3 $[3,4]<=3 $.
        Pcase: h[5] <= 5.
          Reducible.
        Pcase: f1[7] <= 5.
          Reducible.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=0 $[5]<=(-1) $[3,4]<=3 $[6,7]<=5 $.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
      Pcase: s[7] > 6.
        Pcase: s[3] > 6.
          Hubcap $[1]<=2 $[2,3]<=2 $[4,5]<=3 $[6,7]<=3 $.
        Pcase: h[3] <= 5.
          Reducible.
        Pcase: s[5] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[5]<=2 $[6]<=0 $[7]<=3 $[3,4]<=3 $.
        Pcase: h[5] > 5.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=3 $.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=1 $[4]<=3 $[5]<=1 $[6,7]<=3 $.
      Pcase: f1[7] <= 5.
        Reducible.
      Pcase: s[3] > 7.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[7]<=2 $[4,5]<=3 $[4,6]<=3 $[5,6]<=3 $.
      Pcase: s[3] > 6.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=0 $[7]<=2 $[5,6]<=3 $.
        Pcase: h[5] > 6.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=2 $.
        Pcase: h[5] <= 5.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=1 $[6]<=0 $[7]<=2 $.
        Pcase: h[6] <= 6.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[4]<=1 $[7]<=2 $[5,6]<=2 $.
        Pcase: h[7] > 5.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[6]<=1 $[7]<=2 $[4,5]<=2 $.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=2 $[6]<=2 $[7]<=2 $[4,5]<=1 $.
      Pcase: h[3] <= 5.
        Reducible.
      Pcase: s[5] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[5]<=1 $[6]<=1 $[7]<=2 $[3,4]<=3 $.
      Hubcap $[1]<=3 $[2]<=0 $[7]<=2 $[3,5]<=2 $[4,6]<=3 $.
    Pcase: h[2] > 5.
      Pcase: h[6] <= 5.
        Similar to *L2_4[6].
      Pcase: f1[2] <= 5.
        Pcase: h[2] <= 6.
          Reducible.
        Pcase: s[3] > 7.
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[2]<=1 $[3]<=(-1) $[4,5]<=2 $[6,7]<=5 $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=1 $[3]<=(-1) $[4]<=0 $[5]<=2 $[6,7]<=5 $.
          Pcase: s[6] > 6.
            Hubcap $[2]<=1 $[3]<=(-1) $[1,7]<=5 $[4,5]<=3 $[4,6]<=4 $[5,6]<=4 $.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=(-1) $[4]<=1 $[7]<=4 $[5,6]<=2 $.
        Pcase: h[7] > 6.
          Pcase: s[3] > 6.
            Hubcap $[2]<=1 $[6]<=1 $[7]<=2 $[1,3]<=3 $[4,5]<=3 $.
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[7]<=2 $[3,4]<=2 $[5,6]<=1 $.
          Hubcap $[2]<=1 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=2 $[1,3]<=4 $.
        Pcase: s[3] > 6.
          Pcase: h[5] > 6.
            Hubcap $[2]<=1 $[4]<=0 $[5]<=1 $[1,3]<=3 $[6,7]<=5 $.
          Pcase: s[6] <= 6.
            Pcase: s[4] <= 6.
              Hubcap $[2]<=1 $[1,3]<=3 $[4,7]<=4 $[5,6]<=2 $.
            Pcase: s[5] > 6.
              Hubcap $[2]<=1 $[4]<=0 $[5]<=1 $[1,3]<=3 $[6,7]<=5 $.
            Hubcap $[2]<=1 $[4]<=1 $[1,3]<=3 $[5,6]<=2 $[5,7]<=4 $[6,7]<=5 $.
          Pcase: s[4] > 6.
            Hubcap $[2]<=1 $[5]<=0 $[4,6]<=4 $[1,3]<=3 $[1,7]<=5 $[3,7]<=3 $.
          Pcase: h[3] <= 5.
            Reducible.
          Pcase: f2[3] <= 5.
            Reducible.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4,5]<=3 $[6,7]<=3 $.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[7]<=2 $[4,5]<=3 $[4,6]<=3 $[5,6]<=3
                 $.
        Pcase: s[4] > 6.
          Pcase: f1[4] <= 5.
            Reducible.
          Pcase: s[6] > 6.
            Hubcap $[5]<=0 $[1,7]<=5 $[2,4]<=2 $[3,6]<=3 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2,4]<=2 $[3,6]<=2 $[5,7]<=4 $.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4]<=0 $[5]<=1 $[6,7]<=5 $.
        Pcase: h[3] <= 5.
          Reducible.
        Pcase: f1[3] <= 5.
          Reducible.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=1 $[6,7]<=3 $.
        Pcase: h[3] <= 6.
          Reducible.
        Pcase: f1[7] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=2 $.
        Pcase: s[5] <= 6.
          Reducible.
        Pcase: h[5] <= 5.
          Reducible.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=(-1) $[6,7]<=5 $.
      Pcase: s[3] > 7.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=(-1) $[4,5]<=3 $[6,7]<=4 $.
        Pcase: f1[7] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[7]<=2 $[4,5]<=3 $[4,6]<=3
                 $[5,6]<=3 $.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4,5]<=1 $[6,7]<=5 $.
      Pcase: h[3] <= 5.
        Pcase: s[4] <= 6.
          Reducible.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: s[3] <= 6.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=1 $[6]<=1 $[7]<=2 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=1 $[5,6]<=1 $[5,7]<=4 $[6,7]<=4
                 $.
        Pcase: f1[3] <= 5.
          Reducible.
        Pcase: f1[7] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=1 $[5]<=0 $[6]<=2 $[7]<=2 $.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
        Pcase: h[2] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4]<=1 $[5]<=0 $[6,7]<=5 $.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=1 $[5]<=0 $[6,7]<=4 $.
      Pcase: h[7] > 6.
        Pcase: s[5] > 6.
          Hubcap $[6]<=0 $[7]<=2 $[4,5]<=2 $[1,2]<=5 $[1,3]<=4 $[2,3]<=4 $.
        Pcase: h[5] > 6.
          Hubcap $[7]<=2 $[1,2]<=5 $[3,4]<=2 $[5,6]<=1 $.
        Pcase: s[3] > 6.
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[4]<=2 $[7]<=2 $[2,3]<=2 $[5,6]<=1 $.
          Pcase: f2[3] <= 5.
            Reducible.
          Pcase: s[6] <= 6.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[6]<=0 $[7]<=2 $[4,5]<=2 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4,5]<=3 $[6,7]<=2 $.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[6]<=0 $[7]<=2 $[4,5]<=3 $.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[4]<=1 $[7]<=2 $[2,3]<=3 $[5,6]<=1 $.
        Hubcap $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=2 $[1,2]<=4 $.
      Pcase: s[3] > 6.
        Pcase: s[6] <= 6.
          Pcase: s[7] > 6.
            Pcase: s[4] > 6.
              Hubcap $[1]<=2 $[4]<=1 $[5]<=1 $[2,3]<=2 $[6,7]<=4 $.
            Pcase: f2[3] <= 5.
              Reducible.
            Pcase: s[5] > 6.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=0 $[6]<=0 $[5,7]<=5 $.
            Hubcap $[1]<=2 $[2]<=2 $[6]<=0 $[3,5]<=2 $[4,7]<=4 $.
          Pcase: f1[7] <= 5.
            Reducible.
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[2,3]<=1 $[4,5]<=1 $[6,7]<=5 $.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
        Pcase: s[7] > 6.
          Pcase: s[4] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=2 $[5]<=0 $[6,7]<=3 $.
          Pcase: f2[3] <= 5.
            Reducible.
          Pcase: s[5] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=0 $[5]<=2 $[6]<=0 $[7]<=3 $.
          Hubcap $[1]<=2 $[2]<=2 $[6,7]<=3 $[3,4]<=2 $[3,5]<=2 $[4,5]<=3 $.
        Pcase: f1[7] <= 5.
          Reducible.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[5]<=0 $[7]<=2 $[4,6]<=3 $.
        Pcase: f2[3] <= 5.
          Reducible.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[7]<=2 $[5,6]<=3 $.
        Pcase: h[2] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[7]<=2 $[4,5]<=3 $[4,6]<=3 $[5,6]<=3
                 $.
        Pcase: h[5] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=2 $.
        Pcase: h[5] <= 5.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=1 $[6]<=0 $[7]<=2 $.
        Pcase: h[6] <= 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=1 $[7]<=2 $[5,6]<=2 $.
        Pcase: h[7] > 5.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[6]<=1 $[7]<=2 $[4,5]<=2 $.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[6]<=2 $[7]<=2 $[4,5]<=1 $.
      Pcase: s[4] > 6.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[4]<=1 $[2,3]<=3 $[5,6]<=1 $[5,7]<=4 $[6,7]<=4 $.
        Pcase: f1[7] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=1 $[5]<=0 $[6]<=2 $[7]<=2 $.
        Pcase: s[5] <= 6.
          Reducible.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
      Pcase: h[2] <= 6.
        Reducible.
      Pcase: f1[3] <= 5.
        Reducible.
      Pcase: f1[4] <= 5.
        Reducible.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=1 $[6,7]<=3 $.
      Pcase: f1[7] <= 5.
        Reducible.
      Pcase: s[6] > 6.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=2 $.
      Pcase: s[5] <= 6.
        Reducible.
      Pcase: h[5] <= 5.
        Reducible.
      Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=(-1) $[6,7]<=5 $.
    Pcase: f1[2] <= 5.
      Reducible.
    Pcase L2_6: s[3] <= 6.
      Pcase: s[4] <= 6.
        Reducible.
      Pcase: f1[4] <= 5.
        Reducible.
      Pcase: s[7] > 6.
        Hubcap $[1]<=3 $[4]<=0 $[5,6]<=1 $[2,3]<=5 $[2,7]<=5 $[3,7]<=3 $.
      Pcase: h[3] <= 5.
        Reducible.
      Pcase: f1[7] <= 5.
        Reducible.
      Pcase: s[6] > 6.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
      Pcase: s[5] <= 6.
        Reducible.
      Pcase: h[7] <= 5.
        Reducible.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
    Pcase: s[7] > 6.
      Pcase: h[6] <= 5.
        Similar to *L2_5[6].
      Pcase: s[3] > 7.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[7]<=2 $[4,5]<=3 $[4,6]<=2 $[5,6]<=2
               $.
      Hubcap $[1]<=3 $[2]<=3 $[3,7]<=2 $[4,5]<=2 $[4,6]<=2 $[5,6]<=1 $.
    Pcase: f1[7] <= 5.
      Reducible.
    Pcase: s[6] <= 6.
      Pcase: h[6] <= 5.
        Similar to *L2_6[6].
      Pcase: h[7] <= 5.
        Reducible.
      Pcase: s[3] > 7.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[6]<=0 $[7]<=3 $[4,5]<=1 $.
      Pcase: s[4] <= 6.
        Reducible.
      Pcase: s[5] > 6.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
      Hubcap $[1]<=4 $[2]<=3 $[5]<=0 $[6]<=0 $[7]<=3 $[3,4]<=0 $.
    Pcase: s[3] > 7.
      Pcase: h[6] <= 5.
        Similar to *L2_3[6].
      Pcase: s[4] > 6.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[5]<=0 $[7]<=3 $[4,6]<=1 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[4]<=0 $[7]<=3 $[5,6]<=1 $.
      Pcase: h[5] <= 5.
        Reducible.
      Pcase: h[5] > 6.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
      Pcase: h[7] > 5.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[6]<=(-1) $[7]<=3 $[4,5]<=2 $.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[6]<=0 $[7]<=3 $[4,5]<=1 $.
    Pcase: s[4] <= 6.
      Reducible.
    Pcase: s[5] > 6.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
    Pcase: h[6] <= 5.
      Reducible.
    Pcase: h[3] > 5.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[5]<=0 $[7]<=3 $[4,6]<=1 $.
    Pcase: h[5] <= 5.
      Reducible.
    Pcase: f1[2] <= 6.
      Reducible.
    Pcase: f1[3] <= 5.
      Reducible.
    Pcase: f1[4] <= 5.
      Reducible.
    Pcase: h[5] > 6.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
    Pcase: h[7] > 5.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=1 $[5]<=0 $[6]<=(-1) $[7]<=3 $.
    Pcase: f1[7] <= 6.
      Reducible.
    Pcase: f2[6] <= 5.
      Reducible.
    Pcase: f1[4] <= 6.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
    Pcase: f2[4] > 5.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
    Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
  Pcase: h[6] <= 5.
    Similar to *L1_4[6].
  Pcase L1_5: h[2] > 5.
    Pcase L2_1: s[7] > 7.
      Pcase: s[2] > 7.
        Hubcap $[1]<=2 $[2]<=0 $[7]<=0 $[3,4]<=4 $[5,6]<=4 $.
      Pcase: s[3] > 8.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=2 $[7]<=0 $[5,6]<=4 $.
      Pcase: s[4] > 6.
        Hubcap $[1]<=2 $[7]<=0 $[5,6]<=2 $[2,3]<=4 $[2,4]<=5 $[3,4]<=4 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=2 $[6]<=0 $[7]<=0 $[2,3]<=4 $[4,5]<=4 $.
      Pcase: s[6] > 6.
        Hubcap $[1]<=2 $[6]<=1 $[7]<=0 $[2,3]<=4 $[4,5]<=3 $.
      Pcase: s[2] > 6.
        Hubcap $[1]<=2 $[4]<=2 $[7]<=0 $[2,3]<=3 $[5,6]<=3 $.
      Pcase: s[3] > 6.
        Hubcap $[1]<=2 $[2]<=2 $[7]<=0 $[3,4]<=3 $[5,6]<=3 $.
      Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=2 $[6]<=1 $[7]<=0 $.
    Pcase L2_2: s[4] > 7.
      Pcase: s[2] > 7.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=0 $[5]<=1 $[6,7]<=5 $.
      Pcase: s[3] > 8.
        Hubcap $[2]<=2 $[3]<=0 $[4]<=0 $[1,5]<=3 $[6,7]<=5 $.
      Pcase: s[6] > 7.
        Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=2 $[2,3]<=4 $.
      Pcase: h[3] > 6.
        Hubcap $[2]<=2 $[3]<=0 $[4]<=0 $[1,5]<=3 $[6,7]<=5 $.
      Pcase: h[7] > 6.
        Hubcap $[4]<=0 $[1,5]<=3 $[2,3]<=4 $[6,7]<=3 $.
      Pcase: s[2] > 6.
        Pcase: s[3] > 6.
          Hubcap $[3]<=0 $[4]<=0 $[5]<=1 $[1,2]<=4 $[6,7]<=5 $.
        Pcase: s[5] > 7.
          Hubcap $[3]<=0 $[4]<=0 $[5]<=0 $[1,2]<=5 $[6,7]<=5 $.
        Pcase: s[6] > 6.
          Hubcap $[3]<=0 $[4]<=0 $[5]<=0 $[1,2]<=5 $[6,7]<=5 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=1 $[6,7]<=4 $.
        Hubcap $[3]<=0 $[4]<=0 $[6]<=2 $[1,5]<=3 $[2,7]<=5 $.
      Pcase: s[3] > 7.
        Hubcap $[2]<=2 $[4]<=0 $[5]<=1 $[1,3]<=2 $[6,7]<=5 $.
      Pcase: s[3] > 6.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[4]<=0 $[5]<=1 $[2,3]<=3 $[6,7]<=4 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[4]<=0 $[5]<=0 $[6]<=2 $[3,7]<=3 $.
        Pcase: s[5] > 6.
          Hubcap $[4]<=0 $[1,3]<=4 $[2,5]<=1 $[6,7]<=5 $.
        Pcase: h[2] > 6.
          Hubcap $[2]<=1 $[4]<=0 $[5]<=0 $[1,3]<=4 $[6,7]<=5 $.
        Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[2,3]<=3 $[6,7]<=4 $.
      Pcase: s[5] > 7.
        Hubcap $[4]<=(-1) $[5]<=0 $[6,7]<=5 $[1,2]<=5 $[1,3]<=4 $[2,3]<=4 $.
      Pcase: s[6] > 6.
        Hubcap $[4]<=(-1) $[5]<=0 $[6,7]<=5 $[1,2]<=5 $[1,3]<=4 $[2,3]<=4 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[4]<=(-1) $[5]<=1 $[2,3]<=4 $[6,7]<=4 $.
      Pcase: s[5] > 6.
        Hubcap $[4]<=(-1) $[1,5]<=2 $[2,3]<=4 $[6,7]<=5 $.
      Hubcap $[4]<=(-1) $[5]<=0 $[6,7]<=5 $[1,2]<=5 $[1,3]<=4 $[2,3]<=4 $.
    Pcase: s[5] > 7.
      Pcase: h[1] > 5.
        Similar to *L2_2[6].
      Pcase: s[2] > 7.
        Hubcap $[1]<=3 $[2]<=0 $[5]<=0 $[3,4]<=2 $[6,7]<=5 $.
      Pcase: s[3] > 7.
        Hubcap $[2]<=2 $[4]<=0 $[5]<=0 $[1,3]<=3 $[6,7]<=5 $.
      Pcase: s[6] > 8.
        Hubcap $[1]<=3 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=2 $[2,3]<=4 $.
      Pcase: s[7] > 6.
        Pcase: s[2] > 6.
          Hubcap $[1]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=4 $[2,3]<=3 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=4 $.
        Hubcap $[1]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[2,3]<=4 $[2,7]<=6 $[3,7]<=5 $.
      Pcase: f1[7] <= 5.
        Reducible.
      Pcase: s[6] > 7.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=0 $[7]<=2 $.
      Pcase: s[2] > 6.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
        Pcase: h[3] <= 5.
          Reducible.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4]<=1 $[5]<=0 $[6,7]<=5 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[5]<=0 $[6]<=2 $[7]<=2 $[3,4]<=2 $.
        Hubcap $[1]<=3 $[2]<=1 $[5]<=(-1) $[3,4]<=2 $[6,7]<=5 $.
      Pcase: s[3] > 6.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
      Pcase: h[3] <= 5.
        Reducible.
      Pcase: s[4] > 6.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
    Pcase: s[6] > 8.
      Pcase: s[3] > 7.
        Hubcap $[2]<=2 $[6]<=0 $[7]<=2 $[1,3]<=3 $[4,5]<=3 $.
      Pcase: s[2] > 6.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[6]<=0 $[7]<=2 $[2,3]<=2 $[4,5]<=3 $.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[3]<=0 $[5]<=0 $[6]<=0 $[7]<=2 $[2,4]<=5 $.
        Pcase: s[2] > 7.
          Hubcap $[1]<=3 $[2]<=0 $[5]<=2 $[6]<=0 $[7]<=2 $[3,4]<=3 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[6]<=0 $[7]<=2 $[2,3]<=3 $[4,5]<=3 $.
        Hubcap $[1]<=3 $[6]<=(-1) $[7]<=2 $[2,3]<=3 $[4,5]<=3 $.
      Pcase: s[3] <= 6.
        Hubcap $[6]<=0 $[1,2]<=5 $[3,7]<=3 $[4,5]<=2 $.
      Pcase: s[4] > 6.
        Hubcap $[1]<=3 $[2]<=2 $[5]<=0 $[6]<=0 $[7]<=2 $[3,4]<=3 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=3 $[2]<=2 $[4]<=0 $[6]<=0 $[7]<=2 $[3,5]<=3 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[2]<=2 $[6]<=0 $[3,7]<=3 $[4,5]<=3 $.
      Hubcap $[1]<=3 $[2]<=2 $[6]<=(-1) $[3,7]<=3 $[4,5]<=3 $.
    Pcase: h[5] > 6.
      Pcase: s[2] > 7.
        Hubcap $[2]<=0 $[1,5]<=3 $[3,4]<=2 $[6,7]<=5 $.
      Pcase: s[3] > 8.
        Hubcap $[2]<=2 $[3]<=0 $[4]<=0 $[1,5]<=3 $[6,7]<=5 $.
      Pcase: s[2] > 6.
        Pcase: s[3] > 6.
          Hubcap $[4]<=0 $[1,5]<=3 $[2,3]<=2 $[6,7]<=5 $.
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[2]<=3 $[5]<=0 $[6]<=1 $[7]<=2 $[3,4]<=1 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2,7]<=6 $[3,4]<=1 $[5,6]<=1 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[5]<=0 $[6]<=2 $[2,7]<=4 $[3,4]<=1 $.
        Pcase: s[5] > 6.
          Hubcap $[6]<=2 $[1,5]<=2 $[2,7]<=5 $[3,4]<=1 $.
        Pcase: h[3] > 5.
          Hubcap $[1]<=3 $[2]<=1 $[5]<=0 $[3,4]<=1 $[6,7]<=5 $.
        Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=2 $.
      Pcase: s[3] > 7.
        Hubcap $[2]<=2 $[4]<=0 $[5]<=1 $[1,3]<=2 $[6,7]<=5 $.
      Pcase L3_1: s[4] <= 6.
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=2 $[2,3]<=4 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[4]<=0 $[2,3]<=4 $[5,6]<=1 $[5,7]<=4 $[6,7]<=4 $.
        Pcase: h[7] > 6.
          Hubcap $[1]<=3 $[4]<=0 $[7]<=2 $[2,3]<=4 $[5,6]<=1 $.
        Pcase: h[1] > 5.
          Pcase: s[3] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=0 $[5]<=1 $[6,7]<=4 $.
          Pcase: s[5] <= 6.
            Hubcap $[1]<=2 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=4 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=1 $.
          Hubcap $[1]<=2 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=4 $.
        Pcase: f1[7] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=1 $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=2 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
      Pcase: s[3] > 6.
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=2 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=2 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[4]<=0 $[5]<=1 $[2,3]<=3 $[6,7]<=4 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[4]<=0 $[5]<=0 $[6]<=2 $[3,7]<=3 $.
        Pcase: s[5] > 6.
          Hubcap $[4]<=0 $[1,3]<=4 $[2,5]<=1 $[6,7]<=5 $.
        Pcase: h[1] > 5.
          Similar to *L3_1[6].
        Pcase: f1[7] <= 5.
          Reducible.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
      Pcase: s[6] > 7.
        Hubcap $[1]<=3 $[2]<=3 $[4]<=0 $[5]<=0 $[6]<=1 $[3,7]<=3 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[4]<=0 $[2,3]<=4 $[5,6]<=1 $[5,7]<=4 $[6,7]<=4 $.
      Pcase: s[6] > 6.
        Hubcap $[4]<=0 $[5]<=0 $[6]<=2 $[1,2]<=5 $[3,7]<=3 $.
      Pcase: s[5] > 6.
        Pcase: h[2] <= 6.
          Hubcap $[3]<=1 $[4]<=0 $[5]<=0 $[1,2]<=5 $[6,7]<=4 $.
        Pcase: h[3] > 5.
          Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[2,3]<=2 $[6,7]<=5 $.
        Hubcap $[1]<=2 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=4 $.
      Pcase: h[1] > 5.
        Similar to *L3_1[6].
      Pcase: h[3] <= 5.
        Reducible.
      Pcase: f1[7] <= 5.
        Reducible.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6,7]<=5 $.
    Pcase: s[2] > 7.
      Pcase: h[1] > 5.
        Similar to *L2_1[6].
      Pcase: s[6] <= 6.
        Pcase: s[3] > 7.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4,5]<=2 $[6,7]<=5 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[5]<=2 $[3,4]<=2 $[6,7]<=4 $.
        Hubcap $[1]<=3 $[2]<=0 $[6,7]<=5 $[3,4]<=2 $[3,5]<=1 $[4,5]<=2 $.
      Pcase: s[3] > 7.
        Hubcap $[2]<=0 $[3]<=0 $[1,7]<=5 $[4,5]<=3 $[4,6]<=4 $[5,6]<=4 $.
      Pcase: s[4] > 6.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=2 $[5]<=0 $[6,7]<=5 $.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=1 $[5]<=0 $[6]<=3 $[7]<=3 $.
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=4 $[5]<=0 $[6]<=0 $[7]<=2 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=0 $[4]<=4 $[5]<=0 $[6]<=1 $[7]<=3 $.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[5]<=0 $[7]<=2 $[4,6]<=5 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[2]<=0 $[5]<=2 $[3,4]<=3 $[6,7]<=3 $.
      Pcase: f1[7] <= 5.
        Reducible.
      Pcase: s[3] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=1 $[7]<=2 $[4,5]<=3 $[4,6]<=3 $[5,6]<=3 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[7]<=2 $[3,4]<=2 $[5,6]<=3 $.
      Hubcap $[1]<=3 $[2]<=0 $[7]<=2 $[3,4]<=3 $[5,6]<=2 $.
    Pcase L2_3: s[3] > 7.
      Pcase: s[5] > 6.
        Pcase: s[6] > 7.
          Hubcap $[1]<=3 $[2]<=2 $[4]<=0 $[6]<=1 $[7]<=2 $[3,5]<=2 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=0 $[6]<=0 $[5,7]<=5 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[4]<=0 $[3,7]<=2 $[5,6]<=3 $.
        Hubcap $[4]<=0 $[1,3]<=3 $[2,5]<=2 $[6,7]<=5 $.
      Pcase: s[6] > 7.
        Hubcap $[2]<=2 $[6]<=0 $[7]<=2 $[1,3]<=3 $[4,5]<=3 $.
      Pcase: s[2] > 6.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=0 $[4,5]<=3 $[6,7]<=4 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[7]<=2 $[4,5]<=3 $[4,6]<=3 $[5,6]<=3
                 $.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4]<=1 $[5]<=0 $[6,7]<=5 $.
      Pcase: h[7] > 6.
        Hubcap $[2]<=2 $[1,3]<=2 $[4,5]<=3 $[6,7]<=3 $.
      Pcase: h[1] > 5.
        Hubcap $[1]<=2 $[2]<=1 $[3]<=0 $[4,5]<=3 $[6,7]<=4 $.
      Pcase: s[6] <= 6.
        Pcase: s[4] > 6.
          Hubcap $[2]<=2 $[4]<=1 $[1,3]<=2 $[5,6]<=2 $[5,7]<=4 $[6,7]<=5 $.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4,7]<=4 $[5,6]<=2 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4,5]<=3 $[6,7]<=3 $.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4]<=2 $[7]<=2 $[5,6]<=2 $.
    Pcase: s[6] > 7.
      Pcase: h[1] > 5.
        Similar to *L2_3[6].
      Pcase: s[7] > 6.
        Pcase: s[4] > 6.
          Hubcap $[1]<=2 $[5]<=0 $[6]<=0 $[2,7]<=4 $[3,4]<=4 $.
        Pcase: s[2] > 6.
          Hubcap $[1]<=2 $[6]<=0 $[7]<=2 $[2,3]<=3 $[4,5]<=3 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=2 $[2]<=2 $[6]<=0 $[3,7]<=3 $[4,5]<=3 $.
        Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=1 $[6]<=0 $[7]<=2 $.
      Pcase: f1[7] <= 5.
        Reducible.
      Pcase: s[2] > 6.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[6]<=0 $[7]<=2 $[4,5]<=3 $.
        Pcase: h[3] <= 5.
          Reducible.
        Pcase: s[4] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4]<=4 $[5]<=0 $[6]<=0 $[7]<=2 $.
        Hubcap $[1]<=3 $[6]<=0 $[7]<=2 $[2,3]<=2 $[4,5]<=3 $.
      Pcase: s[3] > 6.
        Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[6]<=0 $[7]<=2 $[4,5]<=3 $.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=1 $[6]<=0 $[7]<=2 $.
    Pcase L2_4: h[7] > 5.
      Pcase L3_1: s[5] > 6.
        Pcase: h[3] > 5.
          Pcase: s[7] > 6.
            Pcase: s[2] > 6.
              Hubcap $[1]<=2 $[2]<=1 $[6]<=0 $[3,4]<=2 $[5,7]<=5 $.
            Pcase: s[3] > 6.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=0 $[6]<=0 $[5,7]<=5 $.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=1 $[6]<=0 $[5,7]<=4 $.
          Pcase: s[6] <= 6.
            Pcase: s[2] > 6.
              Hubcap $[2]<=1 $[1,5]<=3 $[3,4]<=2 $[6,7]<=4 $.
            Pcase: s[3] > 6.
              Hubcap $[1]<=3 $[2]<=2 $[4]<=0 $[3,6]<=2 $[5,7]<=3 $.
            Hubcap $[1]<=3 $[2,3]<=2 $[4,5]<=1 $[6,7]<=4 $.
          Pcase: s[4] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[5]<=0 $[6]<=1 $[7]<=2 $[3,4]<=2 $.
          Pcase: h[5] > 5.
            Hubcap $[1]<=3 $[5]<=1 $[6]<=1 $[2,4]<=2 $[3,7]<=3 $.
          Pcase: h[7] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[5]<=2 $[6]<=(-1) $[7]<=2 $[3,4]<=2 $.
          Pcase: h[1] > 5.
            Hubcap $[1]<=2 $[2]<=2 $[5]<=2 $[6]<=1 $[7]<=1 $[3,4]<=2 $.
          Pcase: f1[7] <= 5.
            Reducible.
          Pcase: s[2] > 6.
            Hubcap $[1]<=3 $[5]<=2 $[7]<=2 $[2,6]<=1 $[3,4]<=2 $.
          Pcase: s[3] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=2 $[6]<=1 $[7]<=2 $.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=1 $[6]<=1 $[7]<=2 $.
        Pcase: s[2] > 6.
          Pcase: s[4] > 6.
            Hubcap $[3]<=0 $[4]<=0 $[5]<=1 $[1,2]<=5 $[6,7]<=4 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[4]<=0 $[6]<=0 $[2,3]<=3 $[5,7]<=5 $.
          Pcase: s[3] <= 6.
            Hubcap $[1]<=2 $[4]<=0 $[5]<=2 $[2,3]<=3 $[6,7]<=3 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[4]<=0 $[5]<=2 $[6]<=1 $[7]<=2 $[2,3]<=2 $.
          Hubcap $[1]<=3 $[4]<=0 $[5]<=1 $[2,3]<=2 $[6,7]<=4 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[6]<=0 $[2,3]<=4 $[4,5]<=2 $[4,7]<=3 $[5,7]<=4 $.
        Pcase: s[3] > 6.
          Pcase: s[6] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[4]<=0 $[5]<=1 $[6]<=1 $[3,7]<=3 $.
          Hubcap $[4]<=0 $[1,3]<=4 $[2,5]<=2 $[6,7]<=4 $.
        Pcase: h[1] <= 5.
          Reducible.
        Pcase: s[4] > 6.
          Hubcap $[1]<=2 $[4]<=0 $[5]<=1 $[2,3]<=4 $[6,7]<=3 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=1 $[6]<=1 $[7]<=1 $.
        Hubcap $[1]<=2 $[2]<=3 $[3]<=2 $[4]<=0 $[5]<=1 $[6,7]<=2 $.
      Pcase: s[4] > 6.
        Pcase: s[2] > 6.
          Pcase: s[3] > 6.
            Hubcap $[3]<=0 $[1,2]<=4 $[4,7]<=4 $[5,6]<=2 $.
          Pcase: h[3] <= 5.
            Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4,7]<=3 $[5,6]<=2 $.
          Pcase: h[1] > 5.
            Similar to *L3_1[6].
          Pcase: s[6] <= 6.
            Hubcap $[2]<=1 $[3]<=0 $[4]<=2 $[1,5]<=3 $[6,7]<=4 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=0 $[4]<=4 $[5]<=0 $[6]<=1 $[7]<=2 $.
          Hubcap $[1]<=3 $[3]<=0 $[4]<=4 $[5]<=0 $[7]<=2 $[2,6]<=1 $.
        Pcase: s[3] <= 6.
          Pcase: h[2] <= 6.
            Hubcap $[1,3]<=3 $[2,4]<=3 $[5,6]<=2 $[5,7]<=3 $[6,7]<=4 $.
          Pcase: h[3] > 5.
            Hubcap $[4]<=1 $[1,5]<=3 $[2,3]<=2 $[6,7]<=4 $.
          Hubcap $[1]<=2 $[4]<=0 $[5]<=1 $[2,3]<=4 $[6,7]<=3 $.
        Pcase: h[3] > 6.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=(-1) $[4,7]<=4 $[5,6]<=2 $.
        Pcase: h[1] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4,7]<=3 $[5,6]<=2 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2,3]<=3 $[4,7]<=4 $[5,6]<=1 $.
        Hubcap $[1]<=3 $[2]<=2 $[5]<=0 $[3,4]<=1 $[6,7]<=4 $.
      Pcase: f1[5] > 5.
        Pcase: s[7] > 6.
          Pcase: h[1] > 6.
            Hubcap $[1]<=2 $[5]<=2 $[6,7]<=1 $[2,3]<=4 $[2,4]<=3 $[3,4]<=4 $.
          Pcase: h[5] > 5.
            Pcase: s[2] > 6.
              Hubcap $[1]<=2 $[2,3]<=3 $[4,5]<=2 $[6,7]<=3 $.
            Hubcap $[1]<=2 $[4]<=0 $[2,3]<=4 $[5,6]<=2 $[5,7]<=4 $[6,7]<=3 $.
          Pcase: s[2] > 6.
            Hubcap $[1]<=2 $[5]<=2 $[6,7]<=2 $[2,3]<=3 $[2,4]<=3 $[3,4]<=3 $.
          Pcase: s[3] <= 6.
            Reducible.
          Hubcap $[1]<=2 $[4]<=1 $[5]<=2 $[2,3]<=3 $[6,7]<=2 $.
        Pcase: s[6] > 6.
          Pcase: h[1] > 5.
            Hubcap $[1]<=2 $[7]<=1 $[5,6]<=2 $[2,3]<=4 $[2,4]<=3 $[3,4]<=4 $.
          Pcase: f1[7] <= 5.
            Reducible.
          Pcase: s[2] > 6.
            Hubcap $[1]<=3 $[7]<=2 $[2,3]<=2 $[4,5]<=3 $[4,6]<=2 $[5,6]<=2 $.
          Pcase: s[3] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=1 $[7]<=2 $[5,6]<=2 $.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=2 $.
        Pcase: h[5] <= 5.
          Reducible.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: s[2] > 6.
          Hubcap $[5]<=0 $[1,2]<=5 $[3,4]<=1 $[6,7]<=4 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=3 $[4]<=0 $[5]<=0 $[2,3]<=3 $[6,7]<=4 $.
        Hubcap $[4]<=0 $[5]<=0 $[1,2]<=5 $[3,6]<=3 $[3,7]<=4 $[6,7]<=4 $.
      Pcase: f1[4] <= 5.
        Reducible.
      Pcase: h[1] > 5.
        Pcase: s[2] <= 6.
          Hubcap $[1]<=2 $[2]<=1 $[5]<=1 $[6]<=2 $[7]<=1 $[3,4]<=3 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=2 $[4]<=2 $[5]<=1 $[6]<=2 $[7]<=1 $[2,3]<=2 $.
        Pcase: s[6] <= 6.
          Hubcap $[1]<=2 $[4]<=2 $[5]<=1 $[2,3]<=3 $[6,7]<=2 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[4]<=2 $[5]<=1 $[6]<=1 $[7]<=1 $[2,3]<=3 $.
        Hubcap $[1]<=2 $[4]<=2 $[5]<=1 $[6]<=1 $[7]<=1 $[2,3]<=3 $.
      Pcase: s[6] <= 6.
        Hubcap $[1]<=2 $[4]<=2 $[5]<=0 $[6]<=0 $[7]<=3 $[2,3]<=3 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[4]<=2 $[5]<=1 $[2,3]<=3 $[6,7]<=2 $.
      Pcase: f1[7] <= 5.
        Reducible.
      Pcase: s[2] > 6.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=2 $[7]<=2 $[5,6]<=1 $.
      Pcase: s[3] <= 6.
        Reducible.
      Pcase: h[3] <= 5.
        Reducible.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=2 $[7]<=2 $[5,6]<=1 $.
    Pcase: h[3] <= 5.
      Pcase L3_1: s[3] <= 6.
        Pcase: s[2] > 6.
          Pcase: s[4] > 6.
            Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[2,4]<=4 $[6,7]<=4 $.
          Pcase: s[7] > 6.
            Pcase: s[5] > 6.
              Hubcap $[1]<=2 $[2]<=3 $[3]<=1 $[4]<=0 $[6]<=0 $[5,7]<=4 $.
            Pcase: h[4] > 6.
              Hubcap $[1]<=2 $[3]<=0 $[6,7]<=3 $[2,4]<=4 $[2,5]<=4 $[4,5]<=3 $.
            Pcase: f1[3] <= 6.
              Reducible.
            Pcase: f1[4] <= 5.
              Reducible.
            Pcase: s[6] <= 6.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4,6]<=2 $[5,7]<=3 $.
            Pcase: h[5] > 5.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=1 $[5]<=0 $[6]<=1 $[7]<=2 $.
            Pcase: f2[2] <= 5.
              Reducible.
            Pcase: h[6] > 6.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=2 $[5]<=1 $[6]<=0 $[7]<=2 $.
            Pcase: h[1] > 5.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=2 $[5]<=1 $[6,7]<=2 $.
            Pcase: f2[7] <= 5.
              Reducible.
            Pcase: f1[2] > 5.
              Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[6]<=1 $[7]<=2 $.
            Pcase: f1[4] > 6.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=1 $[6]<=1 $[7]<=2 $.
            Pcase: f1[5] > 5.
              Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=2 $.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=2 $[5]<=1 $[6,7]<=2 $.
          Pcase: s[6] <= 6.
            Reducible.
          Pcase: h[1] <= 5.
            Reducible.
          Hubcap $[1]<=2 $[4]<=1 $[5]<=1 $[6]<=2 $[7]<=1 $[2,3]<=3 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[4]<=1 $[7]<=2 $[2,3]<=4 $[5,6]<=1 $.
        Pcase: h[1] <= 5.
          Reducible.
        Pcase: s[6] > 6.
          Hubcap $[1]<=2 $[6]<=2 $[7]<=1 $[2,3]<=4 $[4,5]<=1 $.
        Pcase L4_1: s[4] > 6.
          Pcase: s[5] > 6.
            Hubcap $[1]<=2 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=4 $.
          Hubcap $[1]<=2 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=4 $.
        Pcase: s[5] > 6.
          Similar to *L4_1[6].
        Pcase: h[5] <= 5.
          Reducible.
        Pcase: f1[4] <= 5.
          Reducible.
        Pcase: f1[5] <= 5.
          Reducible.
        Hubcap $[1]<=2 $[4]<=0 $[5]<=0 $[2,3]<=4 $[6,7]<=4 $.
      Pcase: s[2] > 6.
        Pcase: f1[3] <= 5.
          Pcase: s[4] > 6.
            Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4,5]<=2 $[6,7]<=4 $.
          Pcase: s[5] > 6.
            Hubcap $[1]<=2 $[4]<=0 $[5]<=2 $[2,3]<=2 $[6,7]<=4 $.
          Pcase: s[7] <= 6.
            Hubcap $[1]<=2 $[4]<=1 $[5]<=1 $[2,3]<=2 $[6,7]<=4 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[6]<=1 $[7]<=2 $[2,3]<=2 $[4,5]<=3 $.
          Pcase: h[1] > 5.
            Similar to *L3_1[6].
          Pcase: h[5] <= 5.
            Reducible.
          Pcase: f2[7] <= 5.
            Reducible.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[6]<=0 $[7]<=4 $[4,5]<=1 $.
        Pcase: s[4] > 6.
          Hubcap $[3]<=0 $[1,4]<=4 $[2,5]<=1 $[6,7]<=5 $.
        Pcase: f2[2] <= 5.
          Hubcap $[2]<=0 $[3]<=0 $[6,7]<=5 $[1,4]<=4 $[1,5]<=4 $[4,5]<=3 $.
        Pcase: s[6] <= 6.
          Pcase: h[1] > 5.
            Similar to *L3_1[6].
          Hubcap $[3]<=1 $[1,2]<=3 $[4,6]<=1 $[5,7]<=5 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4,5]<=3 $[6,7]<=3 $.
        Pcase: s[5] > 6.
          Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=0 $[5]<=1 $[6]<=2 $[7]<=2 $.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[4]<=1 $[6]<=2 $[5,7]<=2 $.
      Pcase L3_2: s[4] > 6.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[4]<=1 $[5]<=0 $[2,3]<=3 $[6,7]<=4 $.
        Pcase: s[6] > 6.
          Pcase: s[5] > 6.
            Hubcap $[1]<=3 $[2]<=2 $[4]<=0 $[5]<=0 $[6]<=2 $[3,7]<=3 $.
          Pcase: h[2] > 6.
            Hubcap $[1]<=3 $[2]<=1 $[4]<=1 $[5]<=0 $[6]<=2 $[3,7]<=3 $.
          Pcase: f1[2] <= 6.
            Reducible.
          Pcase: h[6] <= 6.
            Hubcap $[1]<=3 $[2]<=2 $[4]<=1 $[5]<=0 $[6]<=1 $[3,7]<=3 $.
          Pcase: h[1] > 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=0 $[6]<=2 $[7]<=1 $.
          Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=1 $[5]<=0 $[6]<=2 $[7]<=2 $.
        Pcase: h[1] > 5.
          Similar to *L3_1[6].
        Pcase: h[2] <= 6.
          Reducible.
        Pcase: f1[3] <= 5.
          Reducible.
        Pcase: f1[7] <= 6.
          Reducible.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[6]<=1 $[7]<=4 $[4,5]<=1 $.
      Pcase: s[6] <= 6.
        Pcase: h[1] > 5.
          Similar to *L3_1[6].
        Hubcap $[4]<=0 $[7]<=4 $[5,6]<=1 $[1,2]<=4 $[1,3]<=4 $[2,3]<=3 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[4]<=1 $[5]<=1 $[2,3]<=3 $[6,7]<=3 $.
      Pcase: s[5] <= 6.
        Hubcap $[6]<=2 $[1,3]<=4 $[2,4]<=2 $[5,7]<=2 $.
      Pcase: h[1] > 5.
        Similar to *L3_2[6].
      Pcase: f1[3] <= 5.
        Reducible.
      Pcase: f1[7] <= 6.
        Reducible.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=1 $[6]<=2 $[7]<=2 $.
    Pcase: h[1] > 5.
      Similar to *L2_4[6].
    Pcase: s[7] > 6.
      Pcase: s[4] > 6.
        Pcase: s[5] > 6.
          Hubcap $[1]<=2 $[2]<=2 $[5]<=0 $[6]<=0 $[7]<=4 $[3,4]<=2 $.
        Pcase: s[2] > 6.
          Pcase: s[3] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=0 $[4]<=2 $[5]<=0 $[6]<=1 $[7]<=4 $.
          Pcase: s[6] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=0 $[4]<=4 $[5]<=0 $[6,7]<=3 $.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=0 $[4]<=2 $[5]<=0 $[6]<=1 $[7]<=4 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=2 $[4]<=2 $[5]<=0 $[2,3]<=3 $[6,7]<=3 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=0 $[6,7]<=4 $.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=0 $[6,7]<=4 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=2 $[6]<=0 $[5,7]<=5 $[2,3]<=3 $[2,4]<=2 $[3,4]<=2 $.
      Pcase: s[6] > 6.
        Pcase: s[2] > 6.
          Hubcap $[1]<=2 $[2,3]<=2 $[4,5]<=3 $[6,7]<=3 $.
        Pcase: s[3] > 6.
          Hubcap $[1]<=2 $[2,3]<=2 $[4,5]<=3 $[6,7]<=3 $.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=3 $.
      Pcase: h[5] <= 5.
        Reducible.
      Pcase: s[2] > 6.
        Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[6]<=0 $[7]<=4 $[4,5]<=2 $.
      Hubcap $[1]<=2 $[6]<=0 $[7]<=4 $[2,3]<=3 $[4,5]<=1 $.
    Pcase: f1[7] <= 6.
      Reducible.
    Pcase: s[6] <= 6.
      Pcase: s[2] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[6]<=1 $[7]<=4 $[3,4]<=2 $[3,5]<=1 $[4,5]<=2 $.
      Pcase: h[2] <= 6.
        Reducible.
      Pcase: s[3] > 6.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[6]<=1 $[7]<=4 $[4,5]<=1 $.
      Pcase: s[4] > 6.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[6]<=1 $[7]<=4 $[4,5]<=1 $.
      Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=1 $[7]<=4 $.
    Pcase: s[3] > 6.
      Pcase: s[2] > 6.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=1 $[6]<=2 $[7]<=2 $[4,5]<=1 $.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[6]<=2 $[7]<=2 $[4,5]<=1 $.
    Pcase: h[4] > 6.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[6]<=2 $[7]<=2 $[4,5]<=1 $.
    Pcase: f1[6] > 5.
      Hubcap $[1]<=3 $[6]<=1 $[7]<=2 $[2,3]<=2 $[4,5]<=2 $.
    Pcase: f2[6] > 5.
      Hubcap $[1]<=3 $[6]<=1 $[7]<=2 $[2,3]<=2 $[4,5]<=2 $.
    Pcase: s[2] > 6.
      Pcase: s[4] > 6.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4]<=2 $[5]<=0 $[6]<=2 $[7]<=2 $.
      Pcase: s[5] <= 6.
        Hubcap $[1]<=3 $[2]<=1 $[3]<=0 $[4]<=2 $[5]<=0 $[6]<=2 $[7]<=2 $.
      Pcase: h[2] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[5]<=1 $[6]<=2 $[7]<=2 $[3,4]<=2 $.
      Pcase: h[3] <= 6.
        Hubcap $[1]<=3 $[5]<=1 $[6]<=2 $[7]<=2 $[2,3]<=2 $[2,4]<=1 $[3,4]<=2 $.
      Pcase: h[5] > 5.
        Hubcap $[1]<=3 $[2]<=1 $[5]<=1 $[6]<=2 $[7]<=2 $[3,4]<=1 $.
      Pcase: f1[5] <= 5.
        Reducible.
      Pcase: f1[2] > 5.
        Hubcap $[1]<=3 $[2]<=0 $[5]<=1 $[6]<=2 $[7]<=2 $[3,4]<=2 $.
      Hubcap $[1]<=3 $[2]<=1 $[5]<=1 $[6]<=2 $[7]<=2 $[3,4]<=1 $.
    Pcase: s[5] > 6.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[6]<=2 $[7]<=2 $[4,5]<=1 $.
    Pcase: h[6] <= 6.
      Reducible.
    Pcase: s[4] > 6.
      Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=1 $[5]<=0 $[6]<=2 $[7]<=2 $.
    Hubcap $[1]<=3 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=2 $.
  Pcase: h[1] > 5.
    Similar to *L1_5[6].
  Pcase L1_6: s[2] > 7.
    Pcase: s[4] > 7.
      Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=0 $[5]<=2 $[6,7]<=5 $.
    Pcase: s[5] > 7.
      Hubcap $[1]<=3 $[2]<=0 $[5]<=0 $[3,4]<=2 $[6,7]<=5 $.
    Pcase: s[7] > 7.
      Hubcap $[1]<=2 $[2]<=0 $[7]<=0 $[3,4]<=4 $[5,6]<=4 $.
    Pcase: s[4] > 6.
      Pcase: s[3] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4,5]<=2 $[6,7]<=5 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=1 $[5]<=1 $[6,7]<=5 $.
      Pcase: s[6] > 7.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=4 $[5]<=0 $[6]<=0 $[7]<=3 $.
      Pcase: s[6] <= 6.
        Hubcap $[2]<=0 $[3]<=0 $[4]<=2 $[1,5]<=3 $[6,7]<=5 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=0 $[4]<=4 $[5]<=0 $[6]<=1 $[7]<=3 $.
      Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[5]<=0 $[7]<=3 $[4,6]<=4 $.
    Pcase: h[5] > 6.
      Hubcap $[2]<=0 $[1,5]<=3 $[3,4]<=2 $[6,7]<=5 $.
    Pcase: s[6] <= 6.
      Pcase: s[3] > 6.
        Hubcap $[1]<=3 $[2]<=0 $[3]<=1 $[4,7]<=4 $[5,6]<=2 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[2]<=0 $[5]<=2 $[6]<=0 $[7]<=4 $[3,4]<=2 $.
      Hubcap $[1]<=3 $[2]<=0 $[5]<=0 $[3,4]<=2 $[6,7]<=5 $.
    Pcase: s[7] > 6.
      Hubcap $[1]<=2 $[2]<=0 $[5]<=2 $[3,4]<=3 $[6,7]<=3 $.
    Pcase: f1[7] <= 5.
      Reducible.
    Pcase: s[3] > 6.
      Hubcap $[1]<=3 $[2]<=0 $[3]<=1 $[7]<=3 $[4,5]<=3 $[4,6]<=2 $[5,6]<=2 $.
    Pcase: s[5] > 6.
      Hubcap $[1]<=3 $[2]<=0 $[7]<=3 $[3,4]<=2 $[5,6]<=2 $.
    Hubcap $[1]<=3 $[2]<=0 $[7]<=3 $[3,4]<=3 $[5,6]<=1 $.
  Pcase: s[7] > 7.
    Similar to *L1_6[6].
  Pcase L1_7: s[2] <= 6.
    Pcase: f1[2] <= 5.
      Reducible.
    Pcase L2_1: s[3] <= 6.
      Pcase: s[4] > 7.
        Hubcap $[4]<=(-1) $[1,2]<=7 $[3,7]<=3 $[5,6]<=1 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=3 $[6]<=0 $[4,5]<=1 $[2,3]<=5 $[2,7]<=5 $[3,7]<=3 $.
      Pcase: h[3] <= 5.
        Reducible.
      Pcase: f1[7] <= 5.
        Reducible.
      Pcase: s[6] > 7.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[6]<=(-1) $[7]<=3 $[4,5]<=1 $.
      Pcase: s[4] > 6.
        Pcase: s[5] > 7.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=(-1) $[5]<=0 $[6]<=1 $[7]<=3 $.
        Pcase: s[5] <= 6.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=(-1) $[5]<=0 $[6]<=1 $[7]<=3 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
      Pcase: s[6] > 6.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[7]<=3 $[5,6]<=0 $.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
    Pcase: s[6] <= 6.
      Pcase: s[7] <= 6.
        Similar to *L2_1[6].
      Pcase: h[7] <= 5.
        Reducible.
      Pcase: s[3] > 8.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[4]<=1 $[7]<=2 $[5,6]<=2 $.
      Pcase: s[4] > 6.
        Hubcap $[1]<=3 $[2]<=3 $[4]<=1 $[3,7]<=2 $[5,6]<=1 $.
      Hubcap $[1]<=3 $[2]<=3 $[6]<=0 $[3,7]<=2 $[4,5]<=2 $.
    Pcase: s[7] > 6.
      Pcase: s[3] > 8.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[6]<=0 $[7]<=2 $[4,5]<=3 $.
      Pcase: s[4] > 6.
        Hubcap $[1]<=3 $[2]<=3 $[5]<=0 $[6]<=0 $[7]<=2 $[3,4]<=2 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=3 $[2]<=3 $[4]<=0 $[6]<=0 $[7]<=2 $[3,5]<=2 $.
      Pcase: s[3] > 7.
        Hubcap $[1]<=3 $[2]<=3 $[3]<=(-1) $[6]<=0 $[7]<=2 $[4,5]<=3 $.
      Pcase: h[3] > 5.
        Hubcap $[1]<=3 $[2]<=3 $[6]<=0 $[7]<=2 $[3,4]<=1 $[3,5]<=1 $[4,5]<=3 $.
      Hubcap $[1]<=3 $[2]<=3 $[3]<=1 $[4]<=0 $[5]<=1 $[6]<=0 $[7]<=2 $.
    Pcase: f1[7] <= 5.
      Reducible.
    Pcase: s[4] > 7.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
    Pcase: s[5] > 7.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
    Pcase L2_2: s[4] > 6.
      Pcase: s[3] > 7.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[5]<=0 $[7]<=3 $[4,6]<=1 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
      Pcase: s[6] > 7.
        Hubcap $[1]<=4 $[2]<=3 $[5]<=0 $[6]<=(-1) $[7]<=3 $[3,4]<=1 $.
      Pcase: h[3] > 5.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=(-1) $[5]<=0 $[7]<=3 $[4,6]<=1 $.
      Pcase: h[5] <= 5.
        Reducible.
      Pcase: f1[2] <= 6.
        Reducible.
      Pcase: f1[3] <= 5.
        Reducible.
      Pcase: h[5] > 6.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
      Pcase: h[7] > 5.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=1 $[5]<=0 $[6]<=(-1) $[7]<=3 $.
      Pcase: f1[7] <= 6.
        Reducible.
      Pcase: f2[6] <= 5.
        Reducible.
      Pcase: f1[4] <= 5.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
      Pcase: f2[4] > 5.
        Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
      Hubcap $[1]<=4 $[2]<=3 $[3]<=0 $[4]<=0 $[5]<=0 $[6]<=0 $[7]<=3 $.
    Pcase: s[5] > 6.
      Similar to *L2_2[6].
    Pcase: h[5] <= 5.
      Reducible.
    Hubcap $[1]<=4 $[2]<=3 $[7]<=3 $[3,4]<=0 $[5,6]<=0 $.
  Pcase: s[7] <= 6.
    Similar to *L1_7[6].
  Pcase: s[4] > 7.
    Hubcap $[1]<=2 $[3]<=0 $[4]<=0 $[5]<=1 $[6]<=1 $[2,7]<=6 $.
  Pcase: s[5] > 7.
    Hubcap $[1]<=2 $[3]<=1 $[4]<=1 $[5]<=0 $[6]<=0 $[2,7]<=6 $.
  Pcase L1_8: s[3] > 6.
    Pcase: s[5] > 6.
      Hubcap $[1]<=2 $[4]<=0 $[6]<=0 $[2,3]<=3 $[5,7]<=5 $.
    Pcase: s[6] > 7.
      Hubcap $[1]<=2 $[6]<=0 $[7]<=2 $[2,3]<=3 $[4,5]<=3 $.
    Pcase: s[6] > 6.
      Pcase: s[3] > 7.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4,5]<=3 $[6,7]<=3 $.
      Pcase: s[4] > 6.
        Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4]<=2 $[5]<=0 $[6,7]<=3 $.
      Pcase: h[3] > 5.
        Hubcap $[1]<=2 $[2,3]<=2 $[4,5]<=3 $[6,7]<=3 $.
      Pcase: h[4] > 6.
        Hubcap $[1]<=2 $[3]<=0 $[6]<=1 $[2,7]<=4 $[4,5]<=3 $.
      Pcase: h[5] > 5.
        Hubcap $[1]<=2 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=1 $[2,7]<=4 $.
      Pcase: h[6] > 6.
        Hubcap $[1]<=2 $[3]<=1 $[6]<=0 $[2,7]<=4 $[4,5]<=3 $.
      Pcase: h[7] > 5.
        Hubcap $[1]<=2 $[2,3]<=3 $[4,5]<=3 $[6,7]<=2 $.
      Pcase: f1[2] <= 5.
        Hubcap $[1]<=2 $[2]<=3 $[3]<=0 $[4,5]<=3 $[6,7]<=2 $.
      Pcase: f1[3] > 5.
        Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4,5]<=3 $[6,7]<=3 $.
      Pcase: f2[7] <= 5.
        Reducible.
      Pcase: f1[4] <= 6.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[6]<=1 $[7]<=2 $[4,5]<=3 $.
      Pcase: f1[5] > 5.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=2 $.
      Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=2 $[5]<=1 $[6,7]<=2 $.
    Pcase: s[3] > 7.
      Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4,5]<=2 $[6,7]<=4 $.
    Pcase: s[4] > 6.
      Hubcap $[1]<=2 $[3]<=0 $[4]<=1 $[2,7]<=6 $[5,6]<=1 $.
    Hubcap $[1]<=2 $[6]<=0 $[2,3]<=3 $[4,5]<=2 $[4,7]<=4 $[5,7]<=5 $.
  Pcase: s[6] > 6.
    Similar to *L1_8[6].
  Pcase: h[5] > 5.
    Hubcap $[1]<=2 $[3]<=0 $[6]<=0 $[2,7]<=6 $[4,5]<=2 $.
  Pcase L1_9: s[4] > 6.
    Pcase: s[5] > 6.
      Hubcap $[1]<=2 $[3]<=0 $[4]<=1 $[5]<=1 $[6]<=0 $[2,7]<=6 $.
    Pcase: f1[2] <= 5.
      Reducible.
    Pcase: f2[4] <= 5.
      Reducible.
    Pcase: h[3] > 5.
      Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=2 $[5,6]<=1 $[5,7]<=4 $[6,7]<=4 $.
    Hubcap $[1]<=2 $[2]<=4 $[3]<=0 $[4]<=1 $[7]<=2 $[5,6]<=1 $.
  Pcase: s[5] > 6.
    Similar to *L1_9[6].
  Reducible.
Pcase: s[2] <= 5.
  Similar to L0_1[1].
Pcase: s[3] <= 5.
  Similar to L0_1[2].
Pcase: s[4] <= 5.
  Similar to L0_1[3].
Pcase: s[5] <= 5.
  Similar to L0_1[4].
Pcase: s[6] <= 5.
  Similar to L0_1[5].
Pcase: s[7] <= 5.
  Similar to L0_1[6].
Pcase L0_2: s[1] > 6.
  Pcase L1_1: s[4] > 6.
    Pcase: s[6] > 7.
      Hubcap $[5]<=0 $[6]<=0 $[7]<=0 $[1,3]<=5 $[2,4]<=5 $.
    Pcase L2_1: s[2] > 6.
      Pcase: s[3] > 6.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=0 $[4]<=2 $[5]<=2 $[6,7]<=4 $.
      Pcase: s[4] > 7.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=0 $[5]<=2 $[6,7]<=4 $.
      Pcase: s[5] > 6.
        Hubcap $[2]<=2 $[3]<=0 $[4]<=2 $[1,5]<=3 $[6,7]<=3 $.
      Pcase: s[6] > 6.
        Hubcap $[3]<=0 $[5]<=0 $[7]<=0 $[1,6]<=5 $[2,4]<=5 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=0 $[2]<=2 $[3]<=0 $[5]<=2 $[7]<=2 $[4,6]<=4 $.
      Pcase: s[2] > 7.
        Hubcap $[2]<=0 $[3]<=0 $[1,5]<=3 $[4,6]<=6 $[4,7]<=5 $[6,7]<=4 $.
      Pcase: h[3] > 6.
        Hubcap $[2]<=0 $[3]<=0 $[1,5]<=3 $[4,6]<=6 $[4,7]<=5 $[6,7]<=4 $.
      Pcase: h[4] > 6.
        Hubcap $[3]<=0 $[1,5]<=3 $[2,4]<=3 $[6,7]<=4 $.
      Pcase: h[5] > 6.
        Hubcap $[2]<=2 $[3]<=0 $[4,7]<=3 $[1,5]<=3 $[1,6]<=4 $[5,6]<=4 $.
      Pcase: h[6] > 6.
        Hubcap $[1]<=2 $[3]<=0 $[5]<=0 $[2,4]<=5 $[6,7]<=3 $.
      Pcase: h[6] <= 5.
        Hubcap $[1]<=1 $[2]<=2 $[3]<=0 $[4,7]<=3 $[5,6]<=4 $.
      Pcase: s[1] > 7.
        Hubcap $[1]<=0 $[2]<=2 $[3]<=0 $[4,7]<=5 $[5,6]<=3 $.
      Pcase: h[7] > 5.
        Hubcap $[1]<=2 $[3]<=0 $[5]<=1 $[2,4]<=5 $[6,7]<=2 $.
      Hubcap $[2]<=2 $[3]<=0 $[4]<=2 $[1,7]<=3 $[5,6]<=3 $.
    Pcase: s[3] > 6.
      Similar to *L2_1[3].
    Pcase L2_2: h[3] <= 5.
      Pcase: s[5] > 7.
        Hubcap $[1]<=2 $[4]<=2 $[5]<=0 $[2,3]<=3 $[6,7]<=3 $.
      Pcase: s[7] > 7.
        Hubcap $[1]<=2 $[4]<=2 $[7]<=0 $[2,3]<=3 $[5,6]<=3 $.
      Pcase: h[6] > 6.
        Hubcap $[1]<=2 $[4]<=2 $[5]<=0 $[2,3]<=3 $[6,7]<=3 $.
      Pcase: h[7] > 6.
        Hubcap $[1]<=2 $[4]<=2 $[7]<=0 $[2,3]<=3 $[5,6]<=3 $.
      Pcase: f1[2] <= 5.
        Pcase: h[2] <= 5.
          Reducible.
        Pcase: f1[3] <= 5.
          Reducible.
        Pcase: s[4] > 7.
          Hubcap $[2]<=1 $[3]<=2 $[4]<=0 $[1,5]<=3 $[6,7]<=4 $.
        Pcase: s[6] > 6.
          Hubcap $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=0 $[7]<=0 $[1,6]<=5 $.
        Pcase: s[7] > 6.
          Hubcap $[2]<=1 $[3]<=2 $[7]<=2 $[1,4]<=2 $[5,6]<=3 $.
        Pcase: s[5] > 6.
          Pcase: s[1] > 7.
            Hubcap $[1]<=0 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=2 $[6,7]<=3 $.
          Pcase: h[4] > 5.
            Hubcap $[2]<=1 $[3]<=2 $[4]<=1 $[1,5]<=3 $[6,7]<=3 $.
          Pcase: f1[3] <= 6.
            Reducible.
          Pcase: h[7] > 5.
            Hubcap $[2]<=1 $[3]<=2 $[4]<=2 $[1,5]<=3 $[6,7]<=2 $.
          Pcase: h[1] > 6.
            Hubcap $[2]<=1 $[3]<=2 $[5]<=2 $[1,4]<=2 $[6,7]<=3 $.
          Pcase: f1[4] > 5.
            Hubcap $[2]<=1 $[3]<=2 $[4]<=1 $[1,5]<=3 $[6,7]<=3 $.
          Pcase: f1[1] > 5.
            Hubcap $[2]<=1 $[3]<=2 $[4]<=2 $[1,6]<=2 $[5,7]<=3 $.
          Pcase: h[6] <= 5.
            Hubcap $[2]<=1 $[3]<=2 $[4]<=2 $[7]<=1 $[1,5]<=3 $[1,6]<=3 $[5,6]<=3
                   $.
          Pcase: h[1] > 5.
            Hubcap $[1]<=1 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=1 $[6,7]<=3 $.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[6]<=1 $[5,7]<=2 $.
        Pcase: h[5] <= 5.
          Reducible.
        Pcase: s[1] > 7.
          Hubcap $[1]<=0 $[2]<=1 $[3]<=2 $[4,5]<=3 $[6,7]<=4 $.
        Pcase: h[4] > 6.
          Hubcap $[2]<=1 $[3]<=2 $[4]<=0 $[1,5]<=3 $[6,7]<=4 $.
        Pcase: f1[6] > 6.
          Hubcap $[2]<=1 $[3]<=2 $[6]<=3 $[1,5]<=2 $[4,7]<=2 $.
        Pcase: f1[6] <= 5.
          Hubcap $[1]<=1 $[2]<=1 $[3]<=2 $[6]<=1 $[7]<=2 $[4,5]<=3 $.
        Pcase: h[4] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=1 $[6]<=2 $[7]<=1 $.
        Pcase: f1[3] <= 6.
          Reducible.
        Pcase: h[6] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[6]<=2 $[7]<=1 $[4,5]<=2 $.
        Hubcap $[1]<=1 $[2]<=1 $[3]<=2 $[4]<=2 $[5]<=1 $[6]<=2 $[7]<=1 $.
      Pcase: f1[3] > 5.
        Pcase: s[1] > 7.
          Hubcap $[1]<=0 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=2 $[6,7]<=4 $.
        Pcase: s[4] > 7.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=0 $[5]<=2 $[6,7]<=4 $.
        Pcase: s[6] > 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=0 $[6]<=4 $[7]<=0 $.
        Pcase: f1[2] <= 6.
          Pcase: h[2] <= 5.
            Reducible.
          Pcase: s[5] > 6.
            Hubcap $[2]<=1 $[3]<=1 $[4]<=2 $[1,5]<=3 $[6,7]<=3 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=1 $[2]<=1 $[3]<=1 $[4]<=2 $[7]<=2 $[5,6]<=3 $.
          Pcase: h[4] <= 5.
            Hubcap $[2]<=1 $[3]<=1 $[4,7]<=3 $[1,5]<=3 $[1,6]<=4 $[5,6]<=4 $.
          Pcase: h[5] > 6.
            Hubcap $[2]<=1 $[3]<=1 $[4]<=1 $[1,5]<=3 $[6,7]<=4 $.
          Pcase: h[6] > 5.
            Hubcap $[2]<=1 $[3]<=1 $[4]<=2 $[1,7]<=3 $[5,6]<=3 $.
          Hubcap $[1]<=1 $[2]<=1 $[3]<=1 $[4,5]<=3 $[6,7]<=4 $.
        Pcase: f1[3] <= 6.
          Pcase: h[4] <= 5.
            Reducible.
          Pcase: s[5] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=2 $[6,7]<=3 $.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4,7]<=3 $[5,6]<=3 $.
          Pcase: h[2] <= 5.
            Hubcap $[2]<=1 $[3]<=1 $[1,5]<=3 $[4,6]<=4 $[4,7]<=3 $[6,7]<=4 $.
          Pcase: h[6] > 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4,7]<=3 $[5,6]<=3 $.
          Pcase: h[2] > 6.
            Hubcap $[1]<=1 $[2]<=1 $[3]<=1 $[4,5]<=3 $[6,7]<=4 $.
          Pcase: h[5] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4,5]<=2 $[6,7]<=4 $.
          Pcase: h[7] > 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4,5]<=3 $[6,7]<=3 $.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=3 $[7]<=1 $.
        Pcase: f1[6] <= 5.
          Pcase: s[5] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[7]<=2 $[5,6]<=2 $.
          Pcase: f1[5] <= 5.
            Reducible.
          Pcase: s[7] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=2 $[6,7]<=2 $.
          Pcase: f1[7] <= 5.
            Reducible.
          Pcase: h[2] > 6.
            Hubcap $[1]<=1 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=2 $[6]<=1 $[7]<=2 $.
          Pcase: h[2] <= 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[6]<=1 $[7]<=2 $[4,5]<=3 $.
          Pcase: h[4] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=2 $[6]<=1 $[7]<=2 $.
          Pcase: h[4] <= 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[6]<=1 $[7]<=2 $[4,5]<=3 $.
          Pcase: h[5] > 6.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=2 $[6]<=1 $[7]<=2 $.
          Pcase: h[5] <= 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=2 $[6]<=1 $[7]<=2 $.
          Pcase: h[6] > 5.
            Hubcap $[2]<=1 $[3]<=1 $[4]<=2 $[6]<=1 $[7]<=2 $[1,5]<=3 $.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=2 $[6]<=1 $[7]<=2 $.
        Pcase: s[5] > 6.
          Pcase: s[7] > 6.
            Similar to L2_1[3].
          Pcase: h[2] > 6.
            Hubcap $[2]<=1 $[3]<=1 $[4]<=2 $[6]<=2 $[7]<=1 $[1,5]<=3 $.
          Pcase: h[2] <= 5.
            Hubcap $[2]<=1 $[3]<=1 $[5]<=2 $[6]<=2 $[7]<=1 $[1,4]<=3 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=2 $[6]<=2 $[7]<=1 $.
          Pcase: h[6] > 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[6]<=2 $[7]<=1 $.
          Pcase: h[7] > 5.
            Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=2 $[6,7]<=2 $.
          Hubcap $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=2 $[7]<=1 $[1,6]<=3 $.
        Pcase: h[7] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[6,7]<=3 $.
        Pcase: h[4] > 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[5]<=1 $[4,6]<=4 $[4,7]<=3 $[6,7]<=4
                 $.
        Pcase: h[4] <= 5.
          Hubcap $[2]<=1 $[3]<=1 $[5]<=1 $[1,4]<=3 $[6,7]<=4 $.
        Pcase: h[5] > 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=1 $[6,7]<=4 $.
        Pcase: h[5] <= 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[5]<=1 $[4,6]<=4 $[4,7]<=3 $[6,7]<=4
                 $.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[5]<=1 $[7]<=2 $[4,6]<=3 $.
        Pcase: h[2] > 6.
          Hubcap $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[7]<=1 $[1,6]<=4 $.
        Pcase: h[2] <= 5.
          Hubcap $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[7]<=1 $[1,6]<=4 $.
        Pcase: h[6] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[6]<=2 $[7]<=1 $.
        Pcase: f1[6] <= 6.
          Reducible.
        Pcase: h[1] > 6.
          Hubcap $[1]<=1 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[6]<=3 $[7]<=1 $.
        Pcase: h[1] <= 5.
          Hubcap $[1]<=1 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[6]<=3 $[7]<=1 $.
        Pcase: f1[1] > 5.
          Hubcap $[1]<=1 $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[6]<=3 $[7]<=1 $.
        Pcase: f1[4] > 5.
          Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=3 $[7]<=1 $.
        Pcase: f1[5] > 5.
          Hubcap $[2]<=1 $[3]<=1 $[4]<=2 $[5]<=1 $[7]<=1 $[1,6]<=4 $.
        Hubcap $[1]<=2 $[2]<=1 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=3 $[7]<=1 $.
      Pcase: h[4] <= 5.
        Reducible.
      Pcase: s[6] > 6.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[5]<=0 $[7]<=0 $[4,6]<=5 $.
      Pcase: s[1] > 7.
        Hubcap $[1]<=0 $[2]<=2 $[3]<=1 $[4,7]<=3 $[5,6]<=4 $.
      Pcase: s[5] > 6.
        Hubcap $[2]<=2 $[3]<=1 $[5]<=2 $[1,4]<=2 $[6,7]<=3 $.
      Pcase: s[7] > 6.
        Pcase: s[4] > 7.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=0 $[7]<=2 $[5,6]<=3 $.
        Pcase: h[2] > 5.
          Hubcap $[1]<=1 $[2]<=2 $[3]<=1 $[4,7]<=3 $[5,6]<=3 $.
        Pcase: f1[2] <= 6.
          Reducible.
        Pcase: h[5] > 6.
          Hubcap $[2]<=2 $[3]<=1 $[7]<=2 $[1,4]<=2 $[5,6]<=3 $.
        Pcase: h[6] > 5.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4,7]<=3 $[5,6]<=2 $.
        Pcase: f1[6] <= 5.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[5]<=2 $[6]<=1 $[4,7]<=2 $.
        Pcase: h[5] <= 5.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[5]<=1 $[6]<=1 $[4,7]<=3 $.
        Pcase: h[7] > 5.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=2 $[7]<=1 $.
        Pcase: f1[6] <= 6.
          Reducible.
        Pcase: f1[5] > 5.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=1 $[7]<=2 $.
        Pcase: h[4] > 6.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[5]<=1 $[6]<=2 $[4,7]<=2 $.
        Pcase: f1[4] > 5.
          Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[5]<=1 $[6]<=2 $[4,7]<=2 $.
        Hubcap $[1]<=1 $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=2 $[7]<=2 $.
      Pcase: h[1] <= 5.
        Reducible.
      Pcase: s[4] > 7.
        Hubcap $[2]<=2 $[3]<=1 $[4]<=0 $[1,5]<=3 $[6,7]<=4 $.
      Pcase: h[2] > 6.
        Hubcap $[1]<=0 $[2]<=2 $[3]<=1 $[4,5]<=3 $[6,7]<=4 $.
      Pcase: f1[5] <= 5.
        Hubcap $[2]<=2 $[3]<=1 $[7]<=1 $[1,5]<=2 $[4,6]<=4 $.
      Pcase: h[7] > 5.
        Hubcap $[2]<=2 $[3]<=1 $[4,7]<=3 $[1,5]<=3 $[1,6]<=3 $[5,6]<=3 $.
      Pcase: h[2] > 5.
        Hubcap $[2]<=2 $[3]<=1 $[4]<=1 $[1,5]<=2 $[6,7]<=4 $.
      Pcase: f1[2] <= 6.
        Reducible.
      Pcase: f1[6] <= 5.
        Reducible.
      Pcase: h[5] > 5.
        Hubcap $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=1 $[7]<=1 $[1,6]<=4 $.
      Pcase: f2[4] <= 5.
        Reducible.
      Pcase: h[6] > 5.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=1 $[4]<=1 $[7]<=1 $[5,6]<=3 $.
      Hubcap $[1]<=1 $[2]<=2 $[3]<=1 $[4]<=1 $[5]<=1 $[6]<=3 $[7]<=1 $.
    Pcase L2_3: s[5] > 7.
      Pcase: s[6] > 6.
        Similar to L2_1[4].
      Pcase: s[7] > 6.
        Similar to L2_1[3].
      Pcase: h[7] <= 5.
        Similar to L2_2[4].
      Hubcap $[1]<=4 $[4]<=2 $[5]<=0 $[2,3]<=2 $[6,7]<=2 $.
    Pcase: s[7] > 7.
      Similar to *L2_3[3].
    Pcase L2_4: h[6] > 6.
      Pcase: s[1] > 7.
        Hubcap $[1]<=0 $[4]<=4 $[5]<=0 $[6]<=2 $[7]<=2 $[2,3]<=2 $.
      Pcase: s[4] > 7.
        Hubcap $[1]<=4 $[4]<=0 $[5]<=0 $[6]<=2 $[7]<=2 $[2,3]<=2 $.
      Pcase: s[5] > 6.
        Hubcap $[4]<=2 $[5]<=0 $[2,3]<=2 $[1,6]<=5 $[1,7]<=5 $[6,7]<=3 $.
      Pcase: s[6] > 6.
        Hubcap $[5]<=0 $[6]<=2 $[7]<=0 $[1,3]<=4 $[2,4]<=4 $.
      Pcase: s[7] > 6.
        Hubcap $[1]<=2 $[4]<=4 $[5]<=0 $[6]<=0 $[7]<=2 $[2,3]<=2 $.
      Pcase: h[2] > 5.
        Hubcap $[3]<=1 $[5]<=0 $[2,4]<=4 $[1,6]<=4 $[1,7]<=4 $[6,7]<=3 $.
      Hubcap $[5]<=0 $[7]<=1 $[1,3]<=4 $[1,6]<=4 $[2,3]<=2 $[2,4]<=4 $[4,6]<=5
             $.
    Pcase: h[7] > 6.
      Similar to *L2_4[3].
    Pcase L2_5: s[1] > 7.
      Pcase: s[7] > 6.
        Similar to L2_3[3].
      Pcase: s[4] > 7.
        Hubcap $[1]<=0 $[2]<=2 $[3]<=2 $[4]<=0 $[5]<=2 $[6,7]<=4 $.
      Pcase: s[5] > 6.
        Hubcap $[1]<=0 $[4]<=2 $[5]<=2 $[6]<=2 $[7]<=2 $[2,3]<=2 $.
      Pcase: s[6] > 6.
        Hubcap $[1]<=0 $[4]<=4 $[5]<=0 $[6]<=4 $[7]<=0 $[2,3]<=2 $.
      Pcase: h[3] > 6.
        Hubcap $[1]<=0 $[2]<=0 $[3]<=0 $[4]<=4 $[5]<=2 $[6,7]<=4 $.
      Pcase: h[4] > 5.
        Hubcap $[1]<=0 $[2,3]<=2 $[4,5]<=4 $[6,7]<=4 $.
      Pcase: h[5] > 6.
        Hubcap $[1]<=0 $[4]<=2 $[5]<=2 $[2,3]<=2 $[6,7]<=4 $.
      Pcase: h[5] <= 5.
        Hubcap $[1]<=0 $[2]<=1 $[3]<=2 $[4,7]<=4 $[5,6]<=3 $.
      Pcase: h[6] > 5.
        Hubcap $[1]<=0 $[2,3]<=2 $[4,5]<=5 $[6,7]<=3 $.
      Hubcap $[1]<=0 $[4]<=2 $[5]<=1 $[6]<=3 $[7]<=1 $[2,3]<=2 $.
    Pcase: s[4] > 7.
      Similar to *L2_5[3].
    Pcase: s[6] > 6.
      Pcase: s[5] > 6.
        Similar to L2_1[4].
      Pcase: s[7] > 6.
        Similar to *L2_1[0].
      Pcase: h[2] > 6.
        Hubcap $[3]<=1 $[5]<=0 $[7]<=0 $[1,6]<=5 $[2,4]<=4 $.
      Pcase: h[4] > 6.
        Hubcap $[2]<=1 $[5]<=0 $[7]<=0 $[1,3]<=4 $[4,6]<=5 $.
      Pcase: f1[5] <= 5.
        Pcase: h[2] > 5.
          Hubcap $[5]<=0 $[7]<=0 $[1,3]<=4 $[1,6]<=6 $[2,3]<=2 $[2,4]<=4
                 $[4,6]<=5 $.
        Hubcap $[5]<=0 $[7]<=0 $[4,6]<=5 $[1,2]<=5 $[1,3]<=4 $[2,3]<=2 $.
      Pcase: f1[7] <= 5.
        Pcase: h[2] > 5.
          Hubcap $[1]<=2 $[3]<=1 $[5]<=0 $[6]<=3 $[7]<=0 $[2,4]<=4 $.
        Pcase: h[3] > 6.
          Hubcap $[1]<=3 $[2]<=0 $[3]<=0 $[4]<=4 $[5]<=0 $[6]<=3 $[7]<=0 $.
        Pcase: h[4] > 5.
          Hubcap $[5]<=0 $[7]<=0 $[1,3]<=4 $[1,6]<=5 $[2,3]<=2 $[2,4]<=4
                 $[4,6]<=6 $.
        Hubcap $[5]<=0 $[7]<=0 $[1,6]<=5 $[2,3]<=2 $[2,4]<=4 $[3,4]<=5 $.
      Pcase L3_1: h[2] > 5.
        Pcase: h[3] > 6.
          Hubcap $[2]<=0 $[3]<=0 $[4]<=4 $[5]<=0 $[7]<=0 $[1,6]<=6 $.
        Pcase: h[4] > 5.
          Hubcap $[5]<=0 $[7]<=0 $[1,3]<=4 $[1,6]<=6 $[2,3]<=1 $[2,4]<=4
                 $[4,6]<=6 $.
        Pcase: h[5] > 6.
          Hubcap $[4]<=2 $[5]<=0 $[7]<=0 $[1,6]<=6 $[2,3]<=2 $.
        Pcase: h[5] <= 5.
          Hubcap $[4]<=3 $[5]<=0 $[7]<=0 $[1,6]<=6 $[2,3]<=1 $.
        Pcase: h[1] > 5.
          Hubcap $[5]<=0 $[6]<=4 $[7]<=0 $[1,3]<=2 $[2,4]<=4 $.
        Pcase: f1[2] > 5.
          Hubcap $[3]<=0 $[5]<=0 $[7]<=0 $[1,6]<=6 $[2,4]<=4 $.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=1 $[4]<=2 $[5]<=0 $[6]<=4 $[7]<=0 $.
      Pcase: h[4] > 5.
        Similar to *L3_1[3].
      Pcase: f1[4] > 5.
        Pcase: h[3] > 6.
          Hubcap $[1]<=4 $[2]<=0 $[3]<=0 $[5]<=0 $[7]<=0 $[4,6]<=6 $.
        Pcase: h[5] > 6.
          Hubcap $[4]<=1 $[5]<=0 $[6]<=4 $[7]<=0 $[1,2]<=5 $[1,3]<=4 $[2,3]<=2
                 $.
        Pcase: h[1] > 6.
          Hubcap $[1]<=2 $[5]<=0 $[7]<=0 $[2,3]<=2 $[4,6]<=6 $.
        Pcase: f1[2] <= 6.
          Hubcap $[2]<=0 $[5]<=0 $[7]<=0 $[1,3]<=4 $[4,6]<=6 $.
        Pcase: h[5] <= 5.
          Hubcap $[3]<=0 $[5]<=0 $[7]<=0 $[1,2]<=4 $[4,6]<=6 $.
        Pcase: h[6] > 5.
          Hubcap $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=0 $[7]<=0 $[1,6]<=6 $.
        Pcase: h[7] <= 5.
          Hubcap $[1]<=4 $[3]<=0 $[5]<=0 $[6]<=3 $[7]<=0 $[2,4]<=3 $.
        Pcase: h[1] > 5.
          Hubcap $[3]<=0 $[4]<=2 $[5]<=0 $[6]<=4 $[7]<=0 $[1,2]<=4 $.
        Hubcap $[1]<=3 $[3]<=0 $[5]<=0 $[6]<=4 $[7]<=0 $[2,4]<=3 $.
      Pcase: f2[1] <= 5.
        Reducible.
      Pcase: h[3] > 6.
        Hubcap $[2]<=0 $[3]<=0 $[4]<=4 $[5]<=0 $[7]<=0 $[1,6]<=6 $.
      Pcase: h[5] > 6.
        Hubcap $[4]<=2 $[5]<=0 $[7]<=0 $[1,6]<=6 $[2,3]<=2 $.
      Pcase: h[7] > 5.
        Hubcap $[5]<=0 $[6]<=2 $[7]<=0 $[1,3]<=4 $[2,4]<=4 $.
      Pcase: h[1] > 6.
        Hubcap $[1]<=1 $[5]<=0 $[6]<=4 $[7]<=0 $[2,3]<=2 $[2,4]<=4 $[3,4]<=5 $.
      Pcase: f1[2] > 6.
        Hubcap $[3]<=0 $[5]<=0 $[7]<=0 $[1,6]<=6 $[2,4]<=4 $.
      Pcase: f1[2] <= 5.
        Hubcap $[1]<=1 $[2]<=0 $[3]<=2 $[4]<=3 $[5]<=0 $[6]<=4 $[7]<=0 $.
      Pcase: f1[3] <= 6.
        Reducible.
      Pcase: f2[4] <= 5.
        Reducible.
      Hubcap $[2]<=0 $[3]<=1 $[4]<=3 $[5]<=0 $[7]<=0 $[1,6]<=6 $.
    Pcase L2_6: h[6] > 5.
      Pcase: f1[3] <= 5.
        Pcase: s[7] > 6.
          Hubcap $[1]<=2 $[3]<=0 $[7]<=2 $[2,4]<=4 $[5,6]<=2 $.
        Pcase: h[1] > 6.
          Hubcap $[3]<=0 $[1,7]<=3 $[2,4]<=4 $[5,6]<=3 $.
        Pcase: h[3] > 6.
          Pcase: s[5] > 6.
            Similar to L2_4[4].
          Pcase: h[2] > 5.
            Hubcap $[2]<=0 $[3]<=0 $[4]<=3 $[1,7]<=4 $[5,6]<=3 $.
          Pcase: h[4] > 5.
            Hubcap $[1]<=4 $[2]<=0 $[3]<=0 $[4]<=2 $[7]<=1 $[5,6]<=3 $.
          Hubcap $[2]<=0 $[3]<=0 $[4]<=3 $[5]<=1 $[7]<=1 $[1,6]<=5 $.
        Pcase: f1[2] <= 5.
          Reducible.
        Pcase: s[5] > 6.
          Hubcap $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=1 $[1,6]<=4 $[1,7]<=4 $[6,7]<=3
                 $.
        Pcase: h[2] > 6.
          Hubcap $[2]<=2 $[3]<=0 $[4]<=2 $[1,7]<=3 $[5,6]<=3 $.
        Pcase: h[4] > 5.
          Hubcap $[2]<=1 $[3]<=0 $[4]<=2 $[1,7]<=4 $[5,6]<=3 $.
        Pcase: h[5] <= 5.
          Reducible.
        Pcase: h[2] <= 5.
          Hubcap $[2]<=2 $[3]<=0 $[4]<=2 $[5]<=1 $[7]<=1 $[1,6]<=4 $.
        Pcase: h[7] > 5.
          Hubcap $[2]<=2 $[3]<=0 $[4]<=2 $[1,5]<=4 $[6,7]<=2 $.
        Hubcap $[1]<=2 $[2]<=2 $[3]<=0 $[4]<=1 $[5]<=2 $[6,7]<=3 $.
      Pcase: h[4] > 6.
        Hubcap $[2]<=0 $[1,3]<=4 $[4,7]<=3 $[5,6]<=3 $.
      Pcase L3_1: s[5] > 6.
        Pcase: s[7] > 6.
          Similar to L2_1[3].
        Pcase: h[3] > 6.
          Similar to L2_4[4].
        Pcase: h[7] <= 5.
          Similar to L2_2[4].
        Hubcap $[2]<=1 $[4]<=2 $[5]<=1 $[1,3]<=4 $[6,7]<=2 $.
      Pcase: f1[5] <= 5.
        Hubcap $[5]<=0 $[1,7]<=4 $[2,3]<=2 $[4,6]<=4 $.
      Pcase: h[2] > 6.
        Pcase: s[7] > 6.
          Similar to L2_4[3].
        Pcase: h[3] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=0 $[4,7]<=5 $[5,6]<=3 $.
        Pcase: h[4] > 5.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=1 $[4,7]<=4 $[5,6]<=3 $.
        Hubcap $[1,7]<=3 $[5,6]<=3 $[2,3]<=1 $[2,4]<=4 $[3,4]<=4 $.
      Pcase: h[7] > 5.
        Pcase: s[7] > 6.
          Similar to *L3_1[3].
        Pcase: h[4] > 5.
          Hubcap $[2]<=0 $[1,3]<=4 $[4,5]<=4 $[6,7]<=2 $.
        Pcase: h[2] > 5.
          Hubcap $[1,5]<=4 $[6,7]<=2 $[2,3]<=1 $[2,4]<=4 $[3,4]<=4 $.
        Pcase: h[3] > 6.
          Hubcap $[2]<=0 $[3]<=0 $[5]<=1 $[1,4]<=7 $[6,7]<=2 $.
        Pcase: h[5] > 5.
          Hubcap $[5]<=1 $[1,2]<=4 $[3,4]<=4 $[6,7]<=1 $.
        Pcase: h[1] > 5.
          Hubcap $[2]<=1 $[4]<=3 $[5]<=1 $[1,3]<=4 $[6,7]<=1 $.
        Hubcap $[1]<=3 $[4]<=3 $[5]<=1 $[2,3]<=1 $[6,7]<=2 $.
      Pcase: s[7] <= 6.
        Hubcap $[4]<=2 $[1,7]<=3 $[2,3]<=2 $[5,6]<=3 $.
      Pcase: h[2] > 5.
        Similar to L3_1[3].
      Pcase: h[3] > 6.
        Similar to *L2_4[0].
      Pcase: h[5] > 6.
        Hubcap $[1]<=2 $[4]<=2 $[5]<=2 $[6]<=0 $[7]<=2 $[2,3]<=2 $.
      Pcase L3_2: h[4] > 5.
        Pcase: h[5] > 5.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=2 $[6]<=0 $[7]<=2 $.
        Pcase: f1[1] <= 5.
          Hubcap $[2]<=0 $[6]<=1 $[7]<=2 $[1,3]<=3 $[4,5]<=4 $.
        Pcase: f1[2] > 5.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=1 $[6]<=1 $[7]<=2 $[4,5]<=4 $.
        Pcase: f1[4] > 5.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[7]<=2 $[5,6]<=2 $.
        Pcase: f1[5] > 6.
          Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[6]<=0 $[7]<=2 $[4,5]<=4 $.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=0 $[6]<=1 $[7]<=2 $.
      Pcase: h[5] > 5.
        Similar to *L3_2[0].
      Pcase: f1[1] <= 5.
        Hubcap $[4]<=3 $[7]<=2 $[5,6]<=2 $[1,2]<=2 $[1,3]<=3 $[2,3]<=2 $.
      Pcase: f1[2] > 5.
        Hubcap $[1]<=2 $[4]<=3 $[7]<=2 $[2,3]<=1 $[5,6]<=2 $.
      Pcase: f1[3] <= 6.
        Reducible.
      Pcase: f1[4] > 5.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,7]<=4 $[5,6]<=2 $.
      Hubcap $[1]<=1 $[2]<=0 $[3]<=2 $[4]<=3 $[7]<=2 $[5,6]<=2 $.
    Pcase: s[5] > 6.
      Similar to L2_6[4].
    Pcase: s[7] > 6.
      Similar to L2_2[3].
    Pcase: h[7] > 5.
      Similar to *L2_6[3].
    Pcase: f1[6] <= 6.
      Reducible.
    Pcase: h[2] > 5.
      Hubcap $[5]<=1 $[6]<=3 $[7]<=1 $[1,3]<=2 $[2,4]<=3 $.
    Hubcap $[1]<=1 $[4]<=2 $[5]<=1 $[6]<=3 $[7]<=1 $[2,3]<=2 $.
  Pcase: s[5] > 6.
    Similar to L1_1[4].
  Pcase L1_2: h[5] <= 5.
    Pcase: s[3] > 7.
      Hubcap $[2]<=0 $[3]<=0 $[4,5]<=4 $[1,6]<=6 $[1,7]<=4 $[6,7]<=3 $.
    Pcase: s[6] > 7.
      Hubcap $[6]<=0 $[7]<=0 $[4,5]<=4 $[1,2]<=4 $[1,3]<=6 $[2,3]<=3 $.
    Pcase: f1[4] <= 5.
      Pcase: h[4] <= 5.
        Reducible.
      Pcase: f1[5] <= 5.
        Reducible.
      Pcase: s[1] > 7.
        Hubcap $[1]<=0 $[2]<=1 $[3]<=2 $[4]<=1 $[5]<=3 $[6,7]<=3 $.
      Pcase: s[2] > 7.
        Hubcap $[2]<=0 $[3]<=2 $[4]<=1 $[1,5]<=4 $[6,7]<=3 $.
      Pcase: s[7] > 6.
        Hubcap $[3]<=2 $[4]<=1 $[5]<=3 $[1,2]<=2 $[6,7]<=2 $.
      Pcase: h[7] <= 5.
        Reducible.
      Pcase: s[2] > 6.
        Hubcap $[2]<=1 $[4]<=1 $[1,5]<=4 $[3,6]<=4 $[3,7]<=2 $[6,7]<=3 $.
      Pcase: h[2] > 6.
        Hubcap $[1]<=2 $[2]<=0 $[4]<=1 $[3,5]<=4 $[6,7]<=3 $.
      Pcase: h[6] > 5.
        Hubcap $[2]<=0 $[3]<=2 $[4]<=1 $[5]<=2 $[7]<=0 $[1,6]<=5 $.
      Pcase: f1[5] <= 6.
        Reducible.
      Pcase: s[6] <= 6.
        Hubcap $[2]<=0 $[4]<=1 $[5]<=3 $[1,3]<=3 $[6,7]<=3 $.
      Pcase: s[3] > 6.
        Similar to L1_1[2].
      Pcase: h[3] <= 5.
        Reducible.
      Pcase: h[2] > 5.
        Hubcap $[1]<=4 $[2]<=0 $[4]<=1 $[5]<=2 $[7]<=0 $[3,6]<=3 $.
      Pcase: h[3] > 6.
        Hubcap $[1]<=4 $[2]<=0 $[4]<=1 $[5]<=2 $[7]<=0 $[3,6]<=3 $.
      Pcase: f1[3] <= 5.
        Reducible.
      Pcase: h[4] > 6.
        Hubcap $[2]<=0 $[4]<=1 $[5]<=2 $[6]<=2 $[7]<=0 $[1,3]<=4 $.
      Hubcap $[1]<=4 $[2]<=0 $[3]<=2 $[4]<=1 $[5]<=2 $[6]<=1 $[7]<=0 $.
    Pcase L2_1: s[7] > 6.
      Pcase: s[3] > 6.
        Similar to L1_1[6].
      Pcase: s[2] > 6.
        Hubcap $[1]<=0 $[2]<=1 $[3]<=1 $[4]<=3 $[7]<=1 $[5,6]<=4 $.
      Pcase: s[6] > 6.
        Hubcap $[1]<=2 $[5]<=1 $[7]<=0 $[2,3]<=3 $[4,6]<=4 $.
      Pcase: h[3] > 6.
        Hubcap $[2]<=0 $[3]<=1 $[7]<=1 $[1,4]<=4 $[5,6]<=4 $.
      Pcase: f1[3] <= 5.
        Reducible.
      Pcase: s[1] > 7.
        Hubcap $[1]<=0 $[7]<=1 $[2,3]<=3 $[4,5]<=5 $[4,6]<=4 $[5,6]<=4 $.
      Pcase: h[2] > 6.
        Hubcap $[1]<=0 $[2]<=1 $[7]<=1 $[3,6]<=3 $[4,5]<=5 $.
      Pcase: h[4] <= 5.
        Hubcap $[1]<=1 $[7]<=1 $[2,3]<=3 $[4,5]<=5 $[4,6]<=3 $[5,6]<=3 $.
      Pcase: h[2] > 5.
        Hubcap $[1]<=1 $[2]<=1 $[7]<=1 $[3,4]<=3 $[5,6]<=4 $.
      Pcase: h[3] <= 5.
        Hubcap $[1]<=2 $[2]<=1 $[7]<=1 $[3,4]<=3 $[5,6]<=3 $.
      Pcase: s[7] > 7.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[7]<=0 $[5,6]<=4 $.
      Pcase: h[6] > 5.
        Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=2 $[7]<=1 $[5,6]<=3 $.
      Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4]<=1 $[5]<=3 $[6]<=1 $[7]<=1 $.
    Pcase: s[2] > 6.
      Similar to *L2_1[6].
    Pcase L2_2: s[3] > 6.
      Pcase: s[6] > 6.
        Similar to L1_1[2].
      Pcase: s[1] > 7.
        Hubcap $[1]<=0 $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=3 $[6,7]<=3 $.
      Pcase: h[2] > 6.
        Hubcap $[2]<=0 $[3]<=2 $[1,5]<=4 $[4,6]<=4 $[4,7]<=2 $[6,7]<=3 $.
      Pcase: h[6] > 6.
        Hubcap $[2]<=0 $[3]<=2 $[4]<=2 $[5]<=1 $[7]<=1 $[1,6]<=4 $.
      Pcase: h[6] <= 5.
        Hubcap $[2]<=0 $[3]<=2 $[4]<=1 $[1,6]<=4 $[5,7]<=3 $.
      Hubcap $[2]<=0 $[1,7]<=4 $[3,4]<=3 $[5,6]<=3 $.
    Pcase: s[6] > 6.
      Similar to *L2_2[6].
    Pcase L2_3: h[6] > 5.
      Pcase: s[1] > 7.
        Hubcap $[1]<=0 $[2]<=1 $[3]<=3 $[4,7]<=3 $[5,6]<=3 $.
      Pcase: h[3] > 6.
        Hubcap $[2]<=0 $[3]<=1 $[5,6]<=3 $[1,4]<=6 $[1,7]<=4 $[4,7]<=3 $.
      Pcase: f1[3] <= 5.
        Reducible.
      Pcase: h[4] > 6.
        Hubcap $[2]<=1 $[1,3]<=4 $[4,7]<=2 $[5,6]<=3 $.
      Pcase: h[7] <= 5.
        Hubcap $[1]<=2 $[2]<=1 $[7]<=1 $[3,4]<=3 $[5,6]<=3 $.
      Pcase: h[2] > 6.
        Hubcap $[2]<=1 $[3]<=2 $[7]<=0 $[1,4]<=4 $[5,6]<=3 $.
      Pcase: h[3] <= 5.
        Hubcap $[1]<=2 $[2]<=1 $[3]<=2 $[4]<=2 $[7]<=0 $[5,6]<=3 $.
      Pcase: h[4] > 5.
        Hubcap $[2]<=0 $[4]<=2 $[7]<=0 $[1,3]<=5 $[5,6]<=3 $.
      Pcase: f1[4] <= 6.
        Reducible.
      Pcase: h[2] > 5.
        Hubcap $[1]<=2 $[4]<=3 $[7]<=0 $[2,3]<=2 $[5,6]<=3 $.
      Hubcap $[1]<=2 $[7]<=0 $[2,3]<=3 $[4,5]<=4 $[4,6]<=4 $[5,6]<=3 $.
    Pcase: h[4] > 5.
      Similar to *L2_3[6].
    Pcase: h[3] <= 5.
      Reducible.
    Pcase: h[7] <= 5.
      Reducible.
    Pcase: f1[3] <= 5.
      Reducible.
    Pcase: f1[4] <= 6.
      Reducible.
    Pcase: f1[5] <= 6.
      Reducible.
    Pcase: f1[6] <= 5.
      Reducible.
    Pcase: s[1] > 7.
      Hubcap $[1]<=0 $[4]<=2 $[5]<=2 $[2,3]<=3 $[6,7]<=3 $.
    Pcase: h[2] > 6.
      Hubcap $[1]<=1 $[4]<=2 $[5]<=2 $[2,3]<=2 $[6,7]<=3 $.
    Pcase: h[3] > 6.
      Hubcap $[1]<=2 $[2]<=0 $[3]<=1 $[4]<=2 $[5]<=2 $[6,7]<=3 $.
    Pcase: h[7] > 6.
      Hubcap $[1]<=2 $[4]<=2 $[5]<=2 $[6]<=1 $[7]<=0 $[2,3]<=3 $.
    Pcase: h[1] > 6.
      Hubcap $[1]<=1 $[4]<=2 $[5]<=2 $[2,3]<=3 $[6,7]<=2 $.
    Pcase L2_4: h[2] > 5.
      Pcase: h[1] > 5.
        Hubcap $[1]<=2 $[4]<=2 $[5]<=2 $[2,3]<=2 $[6,7]<=2 $.
      Pcase: f1[1] <= 5.
        Reducible.
      Pcase: f1[6] > 6.
        Hubcap $[4]<=2 $[5]<=2 $[7]<=0 $[1,6]<=4 $[2,3]<=2 $.
      Hubcap $[1]<=2 $[4]<=2 $[5]<=2 $[6]<=1 $[7]<=1 $[2,3]<=2 $.
    Pcase: h[1] > 5.
      Similar to *L2_4[6].
    Pcase: f1[1] <= 5.
      Reducible.
    Pcase: f1[2] <= 5.
      Reducible.
    Pcase: f1[7] <= 5.
      Reducible.
    Pcase: f2[1] <= 5.
      Reducible.
    Hubcap $[1]<=2 $[4]<=2 $[5]<=2 $[2,3]<=2 $[6,7]<=2 $.
  Pcase L1_3: s[3] > 6.
    Pcase: s[6] > 6.
      Similar to L1_1[2].
    Pcase: s[7] > 6.
      Similar to L1_1[6].
    Pcase: h[7] <= 5.
      Similar to L1_2[2].
    Pcase: s[1] > 7.
      Hubcap $[1]<=0 $[2]<=0 $[3]<=4 $[4,5]<=3 $[6,7]<=3 $.
    Pcase: s[2] > 6.
      Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=3 $.
    Pcase: s[3] > 7.
      Hubcap $[1]<=4 $[2]<=0 $[3]<=0 $[4,5]<=3 $[6,7]<=3 $.
    Pcase: h[6] > 6.
      Hubcap $[2]<=0 $[4]<=1 $[7]<=1 $[1,6]<=4 $[3,5]<=4 $.
    Pcase: h[6] <= 5.
      Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=3 $.
    Pcase: h[2] > 6.
      Hubcap $[1]<=2 $[2]<=0 $[3]<=4 $[4,5]<=2 $[6,7]<=2 $.
    Pcase: h[3] > 6.
      Hubcap $[1]<=4 $[2]<=0 $[3]<=2 $[4,5]<=2 $[6,7]<=2 $.
    Pcase: h[4] > 5.
      Hubcap $[2]<=0 $[1,3]<=6 $[4,5]<=2 $[6,7]<=2 $.
    Pcase: h[3] <= 5.
      Hubcap $[1]<=4 $[2]<=0 $[3]<=3 $[4,5]<=1 $[6,7]<=2 $.
    Pcase: h[7] > 6.
      Hubcap $[1]<=4 $[2]<=0 $[7]<=0 $[3,4]<=4 $[5,6]<=2 $.
    Pcase: h[1] > 5.
      Hubcap $[2]<=0 $[1,3]<=6 $[4,5]<=2 $[6,7]<=2 $.
    Pcase: h[2] <= 5.
      Hubcap $[1]<=3 $[2]<=0 $[3]<=4 $[4,5]<=2 $[6,7]<=1 $.
    Pcase: h[5] > 6.
      Hubcap $[2]<=0 $[3]<=4 $[4]<=0 $[1,5]<=4 $[6,7]<=2 $.
    Pcase: f1[1] > 5.
      Hubcap $[1]<=2 $[2]<=0 $[3]<=4 $[4,5]<=2 $[6,7]<=2 $.
    Hubcap $[1]<=4 $[2]<=0 $[7]<=0 $[3,5]<=4 $[4,6]<=2 $.
  Pcase: s[6] > 6.
    Similar to L1_3[5].
  Pcase L1_4: h[4] <= 5.
    Pcase: s[7] > 6.
      Similar to L1_2[6].
    Pcase: h[7] <= 5.
      Reducible.
    Pcase: s[1] > 7.
      Hubcap $[1]<=0 $[2,3]<=4 $[4,5]<=3 $[6,7]<=3 $.
    Pcase: s[2] > 7.
      Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=3 $.
    Pcase: h[3] > 6.
      Hubcap $[1]<=2 $[2]<=0 $[3]<=2 $[4,5]<=3 $[6,7]<=3 $.
    Pcase: h[7] > 6.
      Hubcap $[1]<=2 $[6]<=1 $[7]<=0 $[2,3]<=4 $[4,5]<=3 $.
    Pcase: h[1] > 6.
      Hubcap $[1]<=1 $[2,3]<=4 $[4,5]<=3 $[6,7]<=2 $.
    Pcase: h[6] > 5.
      Pcase: s[2] > 6.
        Hubcap $[1]<=2 $[2,5]<=3 $[3,4]<=3 $[6,7]<=2 $.
      Pcase: h[2] > 6.
        Hubcap $[1]<=1 $[2,3]<=4 $[4,5]<=3 $[6,7]<=2 $.
      Pcase: h[2] <= 5.
        Hubcap $[1]<=2 $[2,3]<=4 $[4,5]<=3 $[6,7]<=1 $.
      Pcase: h[3] > 5.
        Hubcap $[1]<=2 $[2,3]<=3 $[4,5]<=3 $[6,7]<=2 $.
      Hubcap $[1]<=2 $[2]<=1 $[3]<=3 $[4,5]<=2 $[6,7]<=2 $.
    Pcase: s[2] > 6.
      Similar to L1_2[1].
    Pcase: h[3] <= 5.
      Reducible.
    Pcase: f1[3] <= 5.
      Reducible.
    Pcase: f1[4] <= 5.
      Reducible.
    Pcase: f1[5] <= 5.
      Reducible.
    Pcase: f1[6] <= 5.
      Reducible.
    Pcase: h[2] > 5.
      Hubcap $[1]<=2 $[2,3]<=2 $[4,5]<=3 $[6,7]<=3 $.
    Hubcap $[1]<=2 $[2,3]<=3 $[4,5]<=3 $[6,7]<=2 $.
  Pcase: h[6] <= 5.
    Similar to *L1_4[6].
  Pcase: s[1] > 7.
    Hubcap $[1]<=0 $[2]<=2 $[5]<=2 $[3,4]<=3 $[6,7]<=3 $.
  Pcase: s[2] > 6.
    Hubcap $[2]<=2 $[1,5]<=3 $[3,4]<=2 $[6,7]<=3 $.
  Pcase: s[7] > 6.
    Hubcap $[7]<=2 $[1,4]<=3 $[2,3]<=3 $[5,6]<=2 $.
  Pcase: h[3] > 6.
    Hubcap $[2]<=0 $[1,7]<=5 $[3,4]<=2 $[5,6]<=3 $.
  Pcase: h[7] > 6.
    Hubcap $[7]<=0 $[1,2]<=5 $[3,4]<=3 $[5,6]<=2 $.
  Pcase L1_5: h[3] > 5.
    Pcase: h[2] > 5.
      Hubcap $[2]<=1 $[1,7]<=4 $[3,4]<=2 $[5,6]<=3 $.
    Hubcap $[7]<=1 $[1,6]<=5 $[2,3]<=2 $[4,5]<=2 $.
  Pcase: h[7] > 5.
    Similar to *L1_5[6].
  Pcase: h[2] <= 5.
    Hubcap $[5]<=1 $[6]<=2 $[7]<=1 $[1,4]<=3 $[2,3]<=3 $.
  Pcase: h[4] > 6.
    Hubcap $[1]<=2 $[4]<=0 $[5]<=2 $[2,3]<=3 $[6,7]<=3 $.
  Pcase: h[6] > 6.
    Hubcap $[1]<=2 $[2]<=2 $[5]<=0 $[3,4]<=3 $[6,7]<=3 $.
  Pcase: h[1] > 6.
    Hubcap $[2]<=2 $[1,5]<=2 $[3,4]<=3 $[6,7]<=3 $.
  Pcase: h[1] <= 5.
    Hubcap $[2]<=1 $[3]<=2 $[4]<=1 $[1,5]<=3 $[6,7]<=3 $.
  Pcase: h[2] > 6.
    Hubcap $[5]<=2 $[1,2]<=2 $[3,4]<=3 $[6,7]<=3 $.
  Pcase: f1[1] > 5.
    Hubcap $[2]<=2 $[1,5]<=2 $[3,4]<=3 $[6,7]<=3 $.
  Hubcap $[2]<=1 $[3]<=2 $[4]<=1 $[1,5]<=3 $[6,7]<=3 $.
Pcase: s[2] > 6.
  Similar to L0_2[1].
Pcase: s[3] > 6.
  Similar to L0_2[2].
Pcase: s[4] > 6.
  Similar to L0_2[3].
Pcase: s[5] > 6.
  Similar to L0_2[4].
Pcase: s[6] > 6.
  Similar to L0_2[5].
Pcase: s[7] > 6.
  Similar to L0_2[6].
Pcase L0_3: h[2] <= 5.
  Pcase: h[5] <= 5.
    Reducible.
  Pcase: h[6] <= 5.
    Reducible.
  Pcase: h[3] > 6.
    Hubcap $[3]<=1 $[1,2]<=4 $[4,7]<=3 $[5,6]<=2 $.
  Pcase: h[3] <= 5.
    Hubcap $[1]<=2 $[3]<=2 $[2,4]<=4 $[5,6]<=1 $[5,7]<=2 $[6,7]<=2 $.
  Hubcap $[2,3]<=3 $[5,6]<=2 $[1,4]<=4 $[1,7]<=4 $[4,7]<=3 $.
Pcase: h[3] <= 5.
  Similar to L0_3[1].
Pcase: h[4] <= 5.
  Similar to L0_3[2].
Pcase: h[5] <= 5.
  Similar to L0_3[3].
Pcase: h[6] <= 5.
  Similar to L0_3[4].
Pcase: h[7] <= 5.
  Similar to L0_3[5].
Pcase: h[1] <= 5.
  Similar to L0_3[6].
Hubcap $[1]<=2 $[2]<=2 $[3]<=2 $[4,5]<=2 $[6,7]<=2 $.
Qed.