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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : PUZ142^1 : TPTP v9.3.1. Released v6.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:37:01 AM UTC 2026

% Result   : Theorem 3.28s 0.90s
% Output   : CNFRefutation 3.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  452 ( 161 unt;   0 typ;  20 def)
%            Number of atoms       : 2554 ( 871 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives : 4352 ( 544   ~; 534   |;   0   &;3262   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   37 (  34 usr;  32 con; 0-2 aty)
%            Number of variables   :  105 (   0   ^; 100   !;   5   ?; 105   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_direction,type,
    direction: $tType ).

thf(tp_movelist,type,
    movelist: $tType ).

thf(tp_position,type,
    position: $tType ).

thf(tp_bottom,type,
    bottom: direction ).

thf(tp_c00,type,
    c00: position ).

thf(tp_c01,type,
    c01: position ).

thf(tp_c02,type,
    c02: position ).

thf(tp_c03,type,
    c03: position ).

thf(tp_c04,type,
    c04: position ).

thf(tp_c10,type,
    c10: position ).

thf(tp_c11,type,
    c11: position ).

thf(tp_c12,type,
    c12: position ).

thf(tp_c13,type,
    c13: position ).

thf(tp_c14,type,
    c14: position ).

thf(tp_c20,type,
    c20: position ).

thf(tp_c21,type,
    c21: position ).

thf(tp_c22,type,
    c22: position ).

thf(tp_c23,type,
    c23: position ).

thf(tp_c24,type,
    c24: position ).

thf(tp_c30,type,
    c30: position ).

thf(tp_c31,type,
    c31: position ).

thf(tp_c32,type,
    c32: position ).

thf(tp_c33,type,
    c33: position ).

thf(tp_c34,type,
    c34: position ).

thf(tp_c40,type,
    c40: position ).

thf(tp_c41,type,
    c41: position ).

thf(tp_c42,type,
    c42: position ).

thf(tp_c43,type,
    c43: position ).

thf(tp_c44,type,
    c44: position ).

thf(tp_left,type,
    left: direction ).

thf(tp_movedir,type,
    movedir: movelist > direction > movelist ).

thf(tp_next,type,
    next: position > direction > position ).

thf(tp_nomove,type,
    nomove: movelist ).

thf(tp_playerpos,type,
    playerpos: movelist > position ).

thf(tp_right,type,
    right: direction ).

thf(tp_top,type,
    top: direction ).

thf(tp_wall,type,
    wall: position > $o ).

thf(c01,definition,
    ( c01
    = ( next @ c00 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01_defin) ).

thf(c02,definition,
    ( c02
    = ( next @ c01 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02_defin) ).

thf(c03,definition,
    ( c03
    = ( next @ c02 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03_defin) ).

thf(c04,definition,
    ( c04
    = ( next @ c03 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04_defin) ).

thf(c10,definition,
    ( c10
    = ( next @ c00 @ right ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10_defin) ).

thf(c11,definition,
    ( c11
    = ( next @ c10 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11_defin) ).

thf(c12,definition,
    ( c12
    = ( next @ c11 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12_defin) ).

thf(c13,definition,
    ( c13
    = ( next @ c12 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c13_defin) ).

thf(c14,definition,
    ( c14
    = ( next @ c13 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c14_defin) ).

thf(c20,definition,
    ( c20
    = ( next @ c10 @ right ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c20_defin) ).

thf(c21,definition,
    ( c21
    = ( next @ c20 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_defin) ).

thf(c22,definition,
    ( c22
    = ( next @ c21 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22_defin) ).

thf(c23,definition,
    ( c23
    = ( next @ c22 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c23_defin) ).

thf(c24,definition,
    ( c24
    = ( next @ c23 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c24_defin) ).

thf(c30,definition,
    ( c30
    = ( next @ c20 @ right ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c30_defin) ).

thf(c31,definition,
    ( c31
    = ( next @ c30 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c31_defin) ).

thf(c32,definition,
    ( c32
    = ( next @ c31 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c32_defin) ).

thf(c33,definition,
    ( c33
    = ( next @ c32 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c33_defin) ).

thf(c34,definition,
    ( c34
    = ( next @ c33 @ top ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34_defin) ).

thf(c40,definition,
    ( c40
    = ( next @ c30 @ right ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c40_defin) ).

thf(1,axiom,
    ( ( playerpos @ nomove )
    = c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_axiom) ).

thf(2,axiom,
    ( ( wall @ c43 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43_axiom) ).

thf(3,axiom,
    ( ( wall @ c33 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c33_axiom) ).

thf(4,axiom,
    ( ( wall @ c23 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c23_axiom) ).

thf(5,axiom,
    ( ( wall @ c13 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c13_axiom) ).

thf(6,axiom,
    ( ( wall @ c03 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03_axiom) ).

thf(7,axiom,
    ( ( wall @ c42 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c42_axiom) ).

thf(8,axiom,
    ( ( wall @ c32 )
    = $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c32_axiom) ).

thf(9,axiom,
    ( ( wall @ c22 )
    = $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22_axiom) ).

thf(10,axiom,
    ( ( wall @ c12 )
    = $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12_axiom) ).

thf(11,axiom,
    ( ( wall @ c02 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02_axiom) ).

thf(12,axiom,
    ( ( wall @ c41 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c41_axiom) ).

thf(13,axiom,
    ( ( wall @ c31 )
    = $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c31_axiom) ).

thf(14,axiom,
    ( ( wall @ c21 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_axiom) ).

thf(15,axiom,
    ( ( wall @ c11 )
    = $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11_axiom) ).

thf(16,axiom,
    ( ( wall @ c01 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01_axiom) ).

thf(17,axiom,
    ( ( wall @ c40 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c40_axiom) ).

thf(18,axiom,
    ( ( wall @ c30 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c30_axiom) ).

thf(19,axiom,
    ( ( wall @ c20 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c20_axiom) ).

thf(20,axiom,
    ( ( wall @ c10 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10_axiom) ).

thf(21,axiom,
    ( ( wall @ c00 )
    = $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c00_axiom) ).

thf(22,axiom,
    ! [PO: position,M: movelist,D: direction] :
      ( ( ( playerpos @ M )
        = PO )
     => ( ( wall @ ( next @ PO @ D ) )
       => ( ( playerpos @ ( movedir @ M @ D ) )
          = PO ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',player_move_illegal) ).

thf(23,axiom,
    ! [PO: position,M: movelist,D: direction] :
      ( ( ( playerpos @ M )
        = PO )
     => ( ~ ( wall @ ( next @ PO @ D ) )
       => ( ( playerpos @ ( movedir @ M @ D ) )
          = ( next @ PO @ D ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',player_move_legal) ).

thf(24,axiom,
    ! [P: position] :
      ( ( next @ ( next @ P @ top ) @ bottom )
      = P ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',top_bottom) ).

thf(25,axiom,
    ! [P: position] :
      ( ( next @ ( next @ P @ left ) @ right )
      = P ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_right) ).

thf(26,axiom,
    ! [D1: direction,D2: direction,P: position] :
      ( ( next @ ( next @ P @ D1 ) @ D2 )
      = ( next @ ( next @ P @ D2 ) @ D1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',next_comm) ).

thf(27,conjecture,
    ? [M: movelist] :
      ( ( playerpos @ M )
      = c31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exercise) ).

thf(28,negated_conjecture,
    ( ( ? [M: movelist] :
          ( ( playerpos @ M )
          = c31 ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[27]) ).

thf(29,plain,
    ( ( ? [SY3: movelist] :
          ( ( playerpos @ SY3 )
          = ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[28,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(30,plain,
    ( ( ( playerpos @ nomove )
      = ( next @ ( next @ c00 @ right ) @ top ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(31,plain,
    ( ( ( wall @ c43 )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[2,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(32,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[3,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(33,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[4,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(34,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[5,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(35,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[6,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(36,plain,
    ( ( ( wall @ c42 )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[7,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(37,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $false )
    = $true ),
    inference(unfold_def,[status(thm)],[8,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(38,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $false )
    = $true ),
    inference(unfold_def,[status(thm)],[9,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(39,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $false )
    = $true ),
    inference(unfold_def,[status(thm)],[10,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(40,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[11,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(41,plain,
    ( ( ( wall @ c41 )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[12,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(42,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $false )
    = $true ),
    inference(unfold_def,[status(thm)],[13,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(43,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[14,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(44,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $false )
    = $true ),
    inference(unfold_def,[status(thm)],[15,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(45,plain,
    ( ( ( wall @ ( next @ c00 @ top ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[16,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(46,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[17,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(47,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[18,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(48,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[19,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(49,plain,
    ( ( ( wall @ ( next @ c00 @ right ) )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[20,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(50,plain,
    ( ( ( wall @ c00 )
      = $true )
    = $true ),
    inference(unfold_def,[status(thm)],[21,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(51,plain,
    ( ( ! [PO: position,M: movelist,D: direction] :
          ( ( ( playerpos @ M )
            = PO )
         => ( ( wall @ ( next @ PO @ D ) )
           => ( ( playerpos @ ( movedir @ M @ D ) )
              = PO ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(52,plain,
    ( ( ! [PO: position,M: movelist,D: direction] :
          ( ( ( playerpos @ M )
            = PO )
         => ( ~ ( wall @ ( next @ PO @ D ) )
           => ( ( playerpos @ ( movedir @ M @ D ) )
              = ( next @ PO @ D ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(53,plain,
    ( ( ! [P: position] :
          ( ( next @ ( next @ P @ top ) @ bottom )
          = P ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(54,plain,
    ( ( ! [P: position] :
          ( ( next @ ( next @ P @ left ) @ right )
          = P ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(55,plain,
    ( ( ! [D1: direction,D2: direction,P: position] :
          ( ( next @ ( next @ P @ D1 ) @ D2 )
          = ( next @ ( next @ P @ D2 ) @ D1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(56,plain,
    ( ( ~ ? [SY3: movelist] :
            ( ( playerpos @ SY3 )
            = ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[29]) ).

thf(57,plain,
    ( ( ! [D1: direction,D2: direction,P: position] :
          ( ( next @ ( next @ P @ D1 ) @ D2 )
          = ( next @ ( next @ P @ D2 ) @ D1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(58,plain,
    ( ( ! [P: position] :
          ( ( next @ ( next @ P @ left ) @ right )
          = P ) )
    = $true ),
    inference(copy,[status(thm)],[54]) ).

thf(59,plain,
    ( ( ! [P: position] :
          ( ( next @ ( next @ P @ top ) @ bottom )
          = P ) )
    = $true ),
    inference(copy,[status(thm)],[53]) ).

thf(60,plain,
    ( ( ! [PO: position,M: movelist,D: direction] :
          ( ( ( playerpos @ M )
            = PO )
         => ( ~ ( wall @ ( next @ PO @ D ) )
           => ( ( playerpos @ ( movedir @ M @ D ) )
              = ( next @ PO @ D ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(61,plain,
    ( ( ! [PO: position,M: movelist,D: direction] :
          ( ( ( playerpos @ M )
            = PO )
         => ( ( wall @ ( next @ PO @ D ) )
           => ( ( playerpos @ ( movedir @ M @ D ) )
              = PO ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(62,plain,
    ( ( ( wall @ c00 )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(63,plain,
    ( ( ( wall @ ( next @ c00 @ right ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(64,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(65,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(66,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(67,plain,
    ( ( ( wall @ ( next @ c00 @ top ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(68,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $false )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(69,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(70,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $false )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(71,plain,
    ( ( ( wall @ c41 )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(72,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(73,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $false )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(74,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $false )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(75,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $false )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(76,plain,
    ( ( ( wall @ c42 )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(77,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(78,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(79,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(80,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(81,plain,
    ( ( ( wall @ c43 )
      = $true )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(82,plain,
    ( ( ( playerpos @ nomove )
      = ( next @ ( next @ c00 @ right ) @ top ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(83,plain,
    ( ( ~ ? [SY3: movelist] :
            ( ( playerpos @ SY3 )
            = ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ) )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(84,plain,
    ( ( ~ ~ ! [SX0: movelist] :
              ( ( playerpos @ SX0 )
             != ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(85,plain,
    ( ( ! [SX0: position,SX1: movelist,SX2: direction] :
          ( ( ( playerpos @ SX1 )
           != SX0 )
          | ~ ( wall @ ( next @ SX0 @ SX2 ) )
          | ( ( playerpos @ ( movedir @ SX1 @ SX2 ) )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(86,plain,
    ( ( ! [SX0: position,SX1: movelist,SX2: direction] :
          ( ( ( playerpos @ SX1 )
           != SX0 )
          | ~ ~ ( wall @ ( next @ SX0 @ SX2 ) )
          | ( ( playerpos @ ( movedir @ SX1 @ SX2 ) )
            = ( next @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60,c01,c02,c03,c04,c10,c11,c12,c13,c14,c20,c21,c22,c23,c24,c30,c31,c32,c33,c34,c40]) ).

thf(87,plain,
    ! [SV1: direction] :
      ( ( ! [SY16: direction,SY17: position] :
            ( ( next @ ( next @ SY17 @ SV1 ) @ SY16 )
            = ( next @ ( next @ SY17 @ SY16 ) @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[57]) ).

thf(88,plain,
    ! [SV2: position] :
      ( ( ( next @ ( next @ SV2 @ left ) @ right )
        = SV2 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[58]) ).

thf(89,plain,
    ! [SV3: position] :
      ( ( ( next @ ( next @ SV3 @ top ) @ bottom )
        = SV3 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[59]) ).

thf(90,plain,
    ( ( ~ ( ( wall @ c00 )
          | $true )
      | ~ ( ~ ( wall @ c00 )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[62]) ).

thf(91,plain,
    ( ( ( wall @ c00 )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[62]) ).

thf(92,plain,
    ( ( ~ ( ( wall @ ( next @ c00 @ right ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ c00 @ right ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[63]) ).

thf(93,plain,
    ( ( ( wall @ ( next @ c00 @ right ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[63]) ).

thf(94,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[64]) ).

thf(95,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[64]) ).

thf(96,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[65]) ).

thf(97,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[65]) ).

thf(98,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[66]) ).

thf(99,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[66]) ).

thf(100,plain,
    ( ( ~ ( ( wall @ ( next @ c00 @ top ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ c00 @ top ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[67]) ).

thf(101,plain,
    ( ( ( wall @ ( next @ c00 @ top ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[67]) ).

thf(102,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
          | $false )
      | ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
          | ~ $false ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[68]) ).

thf(103,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $false )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[68]) ).

thf(104,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[69]) ).

thf(105,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[69]) ).

thf(106,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
          | $false )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
          | ~ $false ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[70]) ).

thf(107,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $false )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[70]) ).

thf(108,plain,
    ( ( ~ ( ( wall @ c41 )
          | $true )
      | ~ ( ~ ( wall @ c41 )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[71]) ).

thf(109,plain,
    ( ( ( wall @ c41 )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[71]) ).

thf(110,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[72]) ).

thf(111,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[72]) ).

thf(112,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
          | $false )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
          | ~ $false ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[73]) ).

thf(113,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $false )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[73]) ).

thf(114,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
          | $false )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
          | ~ $false ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[74]) ).

thf(115,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $false )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[74]) ).

thf(116,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
          | $false )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
          | ~ $false ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[75]) ).

thf(117,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $false )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[75]) ).

thf(118,plain,
    ( ( ~ ( ( wall @ c42 )
          | $true )
      | ~ ( ~ ( wall @ c42 )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[76]) ).

thf(119,plain,
    ( ( ( wall @ c42 )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[76]) ).

thf(120,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[77]) ).

thf(121,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[77]) ).

thf(122,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[78]) ).

thf(123,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[78]) ).

thf(124,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[79]) ).

thf(125,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[79]) ).

thf(126,plain,
    ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
          | $true )
      | ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[80]) ).

thf(127,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[80]) ).

thf(128,plain,
    ( ( ~ ( ( wall @ c43 )
          | $true )
      | ~ ( ~ ( wall @ c43 )
          | ~ $true ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[81]) ).

thf(129,plain,
    ( ( ( wall @ c43 )
      = $true )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[81]) ).

thf(130,plain,
    ( ( ~ ! [SX0: movelist] :
            ( ( playerpos @ SX0 )
           != ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[84]) ).

thf(131,plain,
    ! [SV4: position] :
      ( ( ! [SY18: movelist,SY19: direction] :
            ( ( ( playerpos @ SY18 )
             != SV4 )
            | ~ ( wall @ ( next @ SV4 @ SY19 ) )
            | ( ( playerpos @ ( movedir @ SY18 @ SY19 ) )
              = SV4 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[85]) ).

thf(132,plain,
    ! [SV5: position] :
      ( ( ! [SY20: movelist,SY21: direction] :
            ( ( ( playerpos @ SY20 )
             != SV5 )
            | ~ ~ ( wall @ ( next @ SV5 @ SY21 ) )
            | ( ( playerpos @ ( movedir @ SY20 @ SY21 ) )
              = ( next @ SV5 @ SY21 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[86]) ).

thf(133,plain,
    ! [SV6: direction,SV1: direction] :
      ( ( ! [SY22: position] :
            ( ( next @ ( next @ SY22 @ SV1 ) @ SV6 )
            = ( next @ ( next @ SY22 @ SV6 ) @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[87]) ).

thf(134,plain,
    ( ( ( ~ ( ( wall @ c00 )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ c00 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[90]) ).

thf(135,plain,
    ( ( ( ~ ( ( wall @ ( next @ c00 @ right ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ c00 @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(136,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[94]) ).

thf(137,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[96]) ).

thf(138,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[98]) ).

thf(139,plain,
    ( ( ( ~ ( ( wall @ ( next @ c00 @ top ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ c00 @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[100]) ).

thf(140,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
            | $false ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[102]) ).

thf(141,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[104]) ).

thf(142,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
            | $false ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[106]) ).

thf(143,plain,
    ( ( ( ~ ( ( wall @ c41 )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ c41 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[108]) ).

thf(144,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[110]) ).

thf(145,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
            | $false ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[112]) ).

thf(146,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
            | $false ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[114]) ).

thf(147,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
            | $false ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[116]) ).

thf(148,plain,
    ( ( ( ~ ( ( wall @ c42 )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ c42 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[118]) ).

thf(149,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[120]) ).

thf(150,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[122]) ).

thf(151,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[124]) ).

thf(152,plain,
    ( ( ( ~ ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[126]) ).

thf(153,plain,
    ( ( ( ~ ( ( wall @ c43 )
            | $true ) )
      = $true )
    | ( ( ~ ( ~ ( wall @ c43 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[128]) ).

thf(154,plain,
    ( ( ! [SX0: movelist] :
          ( ( playerpos @ SX0 )
         != ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[130]) ).

thf(155,plain,
    ! [SV4: position,SV7: movelist] :
      ( ( ! [SY23: direction] :
            ( ( ( playerpos @ SV7 )
             != SV4 )
            | ~ ( wall @ ( next @ SV4 @ SY23 ) )
            | ( ( playerpos @ ( movedir @ SV7 @ SY23 ) )
              = SV4 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[131]) ).

thf(156,plain,
    ! [SV5: position,SV8: movelist] :
      ( ( ! [SY24: direction] :
            ( ( ( playerpos @ SV8 )
             != SV5 )
            | ~ ~ ( wall @ ( next @ SV5 @ SY24 ) )
            | ( ( playerpos @ ( movedir @ SV8 @ SY24 ) )
              = ( next @ SV5 @ SY24 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[132]) ).

thf(157,plain,
    ! [SV6: direction,SV1: direction,SV9: position] :
      ( ( ( next @ ( next @ SV9 @ SV1 ) @ SV6 )
        = ( next @ ( next @ SV9 @ SV6 ) @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[133]) ).

thf(158,plain,
    ( ( ( ( wall @ c00 )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ c00 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(159,plain,
    ( ( ( ( wall @ ( next @ c00 @ right ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ c00 @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[135]) ).

thf(160,plain,
    ( ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(161,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[137]) ).

thf(162,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[138]) ).

thf(163,plain,
    ( ( ( ( wall @ ( next @ c00 @ top ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ c00 @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[139]) ).

thf(164,plain,
    ( ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
        | $false )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[140]) ).

thf(165,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[141]) ).

thf(166,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
        | $false )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[142]) ).

thf(167,plain,
    ( ( ( ( wall @ c41 )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ c41 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[143]) ).

thf(168,plain,
    ( ( ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[144]) ).

thf(169,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
        | $false )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[145]) ).

thf(170,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
        | $false )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[146]) ).

thf(171,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
        | $false )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[147]) ).

thf(172,plain,
    ( ( ( ( wall @ c42 )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ c42 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[148]) ).

thf(173,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[149]) ).

thf(174,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[150]) ).

thf(175,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[151]) ).

thf(176,plain,
    ( ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[152]) ).

thf(177,plain,
    ( ( ( ( wall @ c43 )
        | $true )
      = $false )
    | ( ( ~ ( ~ ( wall @ c43 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(178,plain,
    ! [SV10: movelist] :
      ( ( ( playerpos @ SV10 )
       != ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[154]) ).

thf(179,plain,
    ! [SV11: direction,SV4: position,SV7: movelist] :
      ( ( ( ( playerpos @ SV7 )
         != SV4 )
        | ~ ( wall @ ( next @ SV4 @ SV11 ) )
        | ( ( playerpos @ ( movedir @ SV7 @ SV11 ) )
          = SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[155]) ).

thf(180,plain,
    ! [SV12: direction,SV5: position,SV8: movelist] :
      ( ( ( ( playerpos @ SV8 )
         != SV5 )
        | ~ ~ ( wall @ ( next @ SV5 @ SV12 ) )
        | ( ( playerpos @ ( movedir @ SV8 @ SV12 ) )
          = ( next @ SV5 @ SV12 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[156]) ).

thf(181,plain,
    ( ( ( wall @ c00 )
      = $false )
    | ( ( ~ ( ~ ( wall @ c00 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[158]) ).

thf(182,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ c00 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[158]) ).

thf(183,plain,
    ( ( ( wall @ ( next @ c00 @ right ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ c00 @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[159]) ).

thf(184,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ c00 @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[159]) ).

thf(185,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[160]) ).

thf(186,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[160]) ).

thf(187,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[161]) ).

thf(188,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[161]) ).

thf(189,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[162]) ).

thf(190,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[162]) ).

thf(191,plain,
    ( ( ( wall @ ( next @ c00 @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ c00 @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[163]) ).

thf(192,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ c00 @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[163]) ).

thf(193,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[164]) ).

thf(194,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[164]) ).

thf(195,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[165]) ).

thf(196,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[165]) ).

thf(197,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[166]) ).

thf(198,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[166]) ).

thf(199,plain,
    ( ( ( wall @ c41 )
      = $false )
    | ( ( ~ ( ~ ( wall @ c41 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[167]) ).

thf(200,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ c41 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[167]) ).

thf(201,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[168]) ).

thf(202,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[168]) ).

thf(203,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[169]) ).

thf(204,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[169]) ).

thf(205,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[170]) ).

thf(206,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[170]) ).

thf(207,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[171]) ).

thf(208,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
            | ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[171]) ).

thf(209,plain,
    ( ( ( wall @ c42 )
      = $false )
    | ( ( ~ ( ~ ( wall @ c42 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[172]) ).

thf(210,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ c42 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[172]) ).

thf(211,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[173]) ).

thf(212,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[173]) ).

thf(213,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[174]) ).

thf(214,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[174]) ).

thf(215,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[175]) ).

thf(216,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[175]) ).

thf(217,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[176]) ).

thf(218,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[176]) ).

thf(219,plain,
    ( ( ( wall @ c43 )
      = $false )
    | ( ( ~ ( ~ ( wall @ c43 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[177]) ).

thf(220,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ ( wall @ c43 )
            | ~ $true ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[177]) ).

thf(221,plain,
    ! [SV10: movelist] :
      ( ( ( playerpos @ SV10 )
        = ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[178]) ).

thf(222,plain,
    ! [SV11: direction,SV4: position,SV7: movelist] :
      ( ( ( ( playerpos @ SV7 )
         != SV4 )
        = $true )
      | ( ( ~ ( wall @ ( next @ SV4 @ SV11 ) )
          | ( ( playerpos @ ( movedir @ SV7 @ SV11 ) )
            = SV4 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[179]) ).

thf(223,plain,
    ! [SV12: direction,SV5: position,SV8: movelist] :
      ( ( ( ( playerpos @ SV8 )
         != SV5 )
        = $true )
      | ( ( ~ ~ ( wall @ ( next @ SV5 @ SV12 ) )
          | ( ( playerpos @ ( movedir @ SV8 @ SV12 ) )
            = ( next @ SV5 @ SV12 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[180]) ).

thf(224,plain,
    ( ( ( ~ ( wall @ c00 )
        | ~ $true )
      = $false )
    | ( ( wall @ c00 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[181]) ).

thf(225,plain,
    ( ( ( ~ ( wall @ c00 )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[182]) ).

thf(226,plain,
    ( ( ( ~ ( wall @ ( next @ c00 @ right ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ c00 @ right ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[183]) ).

thf(227,plain,
    ( ( ( ~ ( wall @ ( next @ c00 @ right ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[184]) ).

thf(228,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[185]) ).

thf(229,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[186]) ).

thf(230,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[187]) ).

thf(231,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[188]) ).

thf(232,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[189]) ).

thf(233,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[190]) ).

thf(234,plain,
    ( ( ( ~ ( wall @ ( next @ c00 @ top ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ c00 @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[191]) ).

thf(235,plain,
    ( ( ( ~ ( wall @ ( next @ c00 @ top ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[192]) ).

thf(236,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
        | ~ $false )
      = $false )
    | ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[193]) ).

thf(237,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
        | ~ $false )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[194]) ).

thf(238,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[195]) ).

thf(239,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[196]) ).

thf(240,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
        | ~ $false )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[197]) ).

thf(241,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
        | ~ $false )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[198]) ).

thf(242,plain,
    ( ( ( ~ ( wall @ c41 )
        | ~ $true )
      = $false )
    | ( ( wall @ c41 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[199]) ).

thf(243,plain,
    ( ( ( ~ ( wall @ c41 )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[200]) ).

thf(244,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[201]) ).

thf(245,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[202]) ).

thf(246,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
        | ~ $false )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[203]) ).

thf(247,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
        | ~ $false )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[204]) ).

thf(248,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
        | ~ $false )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[205]) ).

thf(249,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
        | ~ $false )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[206]) ).

thf(250,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
        | ~ $false )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[207]) ).

thf(251,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
        | ~ $false )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[208]) ).

thf(252,plain,
    ( ( ( ~ ( wall @ c42 )
        | ~ $true )
      = $false )
    | ( ( wall @ c42 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[209]) ).

thf(253,plain,
    ( ( ( ~ ( wall @ c42 )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[210]) ).

thf(254,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(255,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[212]) ).

thf(256,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[213]) ).

thf(257,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(258,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[215]) ).

thf(259,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[216]) ).

thf(260,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
        | ~ $true )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[217]) ).

thf(261,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[218]) ).

thf(262,plain,
    ( ( ( ~ ( wall @ c43 )
        | ~ $true )
      = $false )
    | ( ( wall @ c43 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[219]) ).

thf(263,plain,
    ( ( ( ~ ( wall @ c43 )
        | ~ $true )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[220]) ).

thf(264,plain,
    ! [SV11: direction,SV4: position,SV7: movelist] :
      ( ( ( ( playerpos @ SV7 )
          = SV4 )
        = $false )
      | ( ( ~ ( wall @ ( next @ SV4 @ SV11 ) )
          | ( ( playerpos @ ( movedir @ SV7 @ SV11 ) )
            = SV4 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[222]) ).

thf(265,plain,
    ! [SV12: direction,SV5: position,SV8: movelist] :
      ( ( ( ( playerpos @ SV8 )
          = SV5 )
        = $false )
      | ( ( ~ ~ ( wall @ ( next @ SV5 @ SV12 ) )
          | ( ( playerpos @ ( movedir @ SV8 @ SV12 ) )
            = ( next @ SV5 @ SV12 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[223]) ).

thf(266,plain,
    ( ( ( ~ ( wall @ c00 ) )
      = $false )
    | ( ( wall @ c00 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[224]) ).

thf(267,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ c00 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[224]) ).

thf(268,plain,
    ( ( ( ~ ( wall @ c00 ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[225]) ).

thf(269,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[225]) ).

thf(270,plain,
    ( ( ( ~ ( wall @ ( next @ c00 @ right ) ) )
      = $false )
    | ( ( wall @ ( next @ c00 @ right ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[226]) ).

thf(271,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ c00 @ right ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[226]) ).

thf(272,plain,
    ( ( ( ~ ( wall @ ( next @ c00 @ right ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[227]) ).

thf(273,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[227]) ).

thf(274,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[228]) ).

thf(275,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[228]) ).

thf(276,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[229]) ).

thf(277,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[229]) ).

thf(278,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[230]) ).

thf(279,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[230]) ).

thf(280,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[231]) ).

thf(281,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[231]) ).

thf(282,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[232]) ).

thf(283,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[232]) ).

thf(284,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[233]) ).

thf(285,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[233]) ).

thf(286,plain,
    ( ( ( ~ ( wall @ ( next @ c00 @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ c00 @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[234]) ).

thf(287,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ c00 @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[234]) ).

thf(288,plain,
    ( ( ( ~ ( wall @ ( next @ c00 @ top ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[235]) ).

thf(289,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[235]) ).

thf(290,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[236]) ).

thf(291,plain,
    ( ( ( ~ $false ) = $false )
    | ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[236]) ).

thf(292,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ top ) ) )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[237]) ).

thf(293,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[237]) ).

thf(294,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[238]) ).

thf(295,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[238]) ).

thf(296,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[239]) ).

thf(297,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[239]) ).

thf(298,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[240]) ).

thf(299,plain,
    ( ( ( ~ $false ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[240]) ).

thf(300,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ) )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[241]) ).

thf(301,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[241]) ).

thf(302,plain,
    ( ( ( ~ ( wall @ c41 ) )
      = $false )
    | ( ( wall @ c41 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[242]) ).

thf(303,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ c41 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[242]) ).

thf(304,plain,
    ( ( ( ~ ( wall @ c41 ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[243]) ).

thf(305,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[243]) ).

thf(306,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ top ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[244]) ).

thf(307,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[244]) ).

thf(308,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ c00 @ top ) @ top ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[245]) ).

thf(309,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[245]) ).

thf(310,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[246]) ).

thf(311,plain,
    ( ( ( ~ $false ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[246]) ).

thf(312,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) ) )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[247]) ).

thf(313,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[247]) ).

thf(314,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[248]) ).

thf(315,plain,
    ( ( ( ~ $false ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[248]) ).

thf(316,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) ) )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[249]) ).

thf(317,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[249]) ).

thf(318,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[250]) ).

thf(319,plain,
    ( ( ( ~ $false ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[250]) ).

thf(320,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) ) )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[251]) ).

thf(321,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[251]) ).

thf(322,plain,
    ( ( ( ~ ( wall @ c42 ) )
      = $false )
    | ( ( wall @ c42 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[252]) ).

thf(323,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ c42 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[252]) ).

thf(324,plain,
    ( ( ( ~ ( wall @ c42 ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[253]) ).

thf(325,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[253]) ).

thf(326,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[254]) ).

thf(327,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[254]) ).

thf(328,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[255]) ).

thf(329,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[255]) ).

thf(330,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[256]) ).

thf(331,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[256]) ).

thf(332,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[257]) ).

thf(333,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[257]) ).

thf(334,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[258]) ).

thf(335,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[258]) ).

thf(336,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[259]) ).

thf(337,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[259]) ).

thf(338,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) ) )
      = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[260]) ).

thf(339,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[260]) ).

thf(340,plain,
    ( ( ( ~ ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[261]) ).

thf(341,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[261]) ).

thf(342,plain,
    ( ( ( ~ ( wall @ c43 ) )
      = $false )
    | ( ( wall @ c43 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[262]) ).

thf(343,plain,
    ( ( ( ~ $true ) = $false )
    | ( ( wall @ c43 )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[262]) ).

thf(344,plain,
    ( ( ( ~ ( wall @ c43 ) )
      = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[263]) ).

thf(345,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[263]) ).

thf(346,plain,
    ! [SV7: movelist,SV11: direction,SV4: position] :
      ( ( ( ~ ( wall @ ( next @ SV4 @ SV11 ) ) )
        = $true )
      | ( ( ( playerpos @ ( movedir @ SV7 @ SV11 ) )
          = SV4 )
        = $true )
      | ( ( ( playerpos @ SV7 )
          = SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[264]) ).

thf(347,plain,
    ! [SV8: movelist,SV12: direction,SV5: position] :
      ( ( ( ~ ~ ( wall @ ( next @ SV5 @ SV12 ) ) )
        = $true )
      | ( ( ( playerpos @ ( movedir @ SV8 @ SV12 ) )
          = ( next @ SV5 @ SV12 ) )
        = $true )
      | ( ( ( playerpos @ SV8 )
          = SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[265]) ).

thf(348,plain,
    ( ( ( wall @ c00 )
      = $true )
    | ( ( wall @ c00 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[266]) ).

thf(349,plain,
    ( ( $true = $true )
    | ( ( wall @ c00 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[267]) ).

thf(350,plain,
    ( ( ( wall @ c00 )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[268]) ).

thf(351,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[269]) ).

thf(352,plain,
    ( ( ( wall @ ( next @ c00 @ right ) )
      = $true )
    | ( ( wall @ ( next @ c00 @ right ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[270]) ).

thf(353,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ c00 @ right ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[271]) ).

thf(354,plain,
    ( ( ( wall @ ( next @ c00 @ right ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[272]) ).

thf(355,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[273]) ).

thf(356,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[274]) ).

thf(357,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[275]) ).

thf(358,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[276]) ).

thf(359,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[277]) ).

thf(360,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[278]) ).

thf(361,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[279]) ).

thf(362,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[280]) ).

thf(363,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[281]) ).

thf(364,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[282]) ).

thf(365,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[283]) ).

thf(366,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ right ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[284]) ).

thf(367,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[285]) ).

thf(368,plain,
    ( ( ( wall @ ( next @ c00 @ top ) )
      = $true )
    | ( ( wall @ ( next @ c00 @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[286]) ).

thf(369,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ c00 @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[287]) ).

thf(370,plain,
    ( ( ( wall @ ( next @ c00 @ top ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[288]) ).

thf(371,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[289]) ).

thf(372,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[290]) ).

thf(373,plain,
    ( ( $false = $true )
    | ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[291]) ).

thf(374,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ top ) )
      = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[292]) ).

thf(375,plain,
    ( ( $false = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[293]) ).

thf(376,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[294]) ).

thf(377,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[295]) ).

thf(378,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[296]) ).

thf(379,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[297]) ).

thf(380,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[298]) ).

thf(381,plain,
    ( ( $false = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[299]) ).

thf(382,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[300]) ).

thf(383,plain,
    ( ( $false = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[301]) ).

thf(384,plain,
    ( ( ( wall @ c41 )
      = $true )
    | ( ( wall @ c41 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[302]) ).

thf(385,plain,
    ( ( $true = $true )
    | ( ( wall @ c41 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[303]) ).

thf(386,plain,
    ( ( ( wall @ c41 )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[304]) ).

thf(387,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[305]) ).

thf(388,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[306]) ).

thf(389,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[307]) ).

thf(390,plain,
    ( ( ( wall @ ( next @ ( next @ c00 @ top ) @ top ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[308]) ).

thf(391,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[309]) ).

thf(392,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[310]) ).

thf(393,plain,
    ( ( $false = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[311]) ).

thf(394,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
      = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[312]) ).

thf(395,plain,
    ( ( $false = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[313]) ).

thf(396,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[314]) ).

thf(397,plain,
    ( ( $false = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[315]) ).

thf(398,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[316]) ).

thf(399,plain,
    ( ( $false = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[317]) ).

thf(400,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[318]) ).

thf(401,plain,
    ( ( $false = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[319]) ).

thf(402,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[320]) ).

thf(403,plain,
    ( ( $false = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[321]) ).

thf(404,plain,
    ( ( ( wall @ c42 )
      = $true )
    | ( ( wall @ c42 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[322]) ).

thf(405,plain,
    ( ( $true = $true )
    | ( ( wall @ c42 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[323]) ).

thf(406,plain,
    ( ( ( wall @ c42 )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[324]) ).

thf(407,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[325]) ).

thf(408,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[326]) ).

thf(409,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[327]) ).

thf(410,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ c00 @ top ) @ top ) @ top ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[328]) ).

thf(411,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[329]) ).

thf(412,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[330]) ).

thf(413,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[331]) ).

thf(414,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) @ top ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[332]) ).

thf(415,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[333]) ).

thf(416,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[334]) ).

thf(417,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[335]) ).

thf(418,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[336]) ).

thf(419,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[337]) ).

thf(420,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[338]) ).

thf(421,plain,
    ( ( $true = $true )
    | ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[339]) ).

thf(422,plain,
    ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ top ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[340]) ).

thf(423,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[341]) ).

thf(424,plain,
    ( ( ( wall @ c43 )
      = $true )
    | ( ( wall @ c43 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[342]) ).

thf(425,plain,
    ( ( $true = $true )
    | ( ( wall @ c43 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[343]) ).

thf(426,plain,
    ( ( ( wall @ c43 )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[344]) ).

thf(427,plain,
    ( ( $true = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[345]) ).

thf(428,plain,
    ! [SV7: movelist,SV11: direction,SV4: position] :
      ( ( ( wall @ ( next @ SV4 @ SV11 ) )
        = $false )
      | ( ( ( playerpos @ ( movedir @ SV7 @ SV11 ) )
          = SV4 )
        = $true )
      | ( ( ( playerpos @ SV7 )
          = SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[346]) ).

thf(429,plain,
    ! [SV8: movelist,SV12: direction,SV5: position] :
      ( ( ( ~ ( wall @ ( next @ SV5 @ SV12 ) ) )
        = $false )
      | ( ( ( playerpos @ ( movedir @ SV8 @ SV12 ) )
          = ( next @ SV5 @ SV12 ) )
        = $true )
      | ( ( ( playerpos @ SV8 )
          = SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(430,plain,
    ! [SV8: movelist,SV12: direction,SV5: position] :
      ( ( ( wall @ ( next @ SV5 @ SV12 ) )
        = $true )
      | ( ( ( playerpos @ ( movedir @ SV8 @ SV12 ) )
          = ( next @ SV5 @ SV12 ) )
        = $true )
      | ( ( ( playerpos @ SV8 )
          = SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[429]) ).

thf(431,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[82,430,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,221,157,129,127,125,123,121,119,117,115,113,111,109,107,105,103,101,99,97,95,93,91,89,88]) ).

thf(432,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[431]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ142^1 : TPTP v9.3.1. Released v6.2.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.20  % Computer : n003.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Tue Oct  6 14:02:39 UTC 2026
% 0.10/0.21  % CPUTime  : 
% 0.10/0.21  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.28/0.90  
% 3.28/0.90   No.of.Axioms: 26
% 3.28/0.90  
% 3.28/0.90   Length.of.Defs: 2328
% 3.28/0.90  
% 3.28/0.90   Contains.Choice.Funs: false
% 3.28/0.90  ....
% 3.28/0.90  
% 3.28/0.90  ********************************
% 3.28/0.90  *   All subproblems solved!    *
% 3.28/0.90  ********************************
% 3.28/0.90  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:26,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:431,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.28/0.90  
% 3.28/0.90  %**** Beginning of derivation protocol ****
% 3.28/0.90  % SZS output start CNFRefutation
% See solution above
% 3.28/0.91  
% 3.28/0.91  %**** End of derivation protocol ****
% 3.28/0.91  %**** no. of clauses in derivation: 432 ****
% 3.28/0.91  %**** clause counter: 431 ****
% 3.28/0.91  
% 3.28/0.91  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:26,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:431,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------