TSTP Solution File: PUZ008-1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 18:19:15 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  143 ( 104 unt;   9 typ;   0 def)
%            Number of atoms       :  496 ( 136 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives : 2930 (  86   ~;  90   |;   0   &;2754   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :  477 (   0   ^ 477   !;   0   ?; 477   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_achievable,type,
    achievable: $i > $i > $i > $o ).

thf(tp_boatoneast,type,
    boatoneast: $i ).

thf(tp_boatonwest,type,
    boatonwest: $i ).

thf(tp_c,type,
    c: $i > $i ).

thf(tp_east,type,
    east: $i > $i > $i ).

thf(tp_m,type,
    m: $i > $i ).

thf(tp_n0,type,
    n0: $i ).

thf(tp_s,type,
    s: $i > $i ).

thf(tp_west,type,
    west: $i > $i > $i ).

thf(1,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ X @ Y ) @ Z @ ( east @ ( m @ ( s @ W ) ) @ ( c @ ( s @ ( s @ ( s @ W ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_extra_cannibals_meal_on_east_bank) ).

thf(2,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ X @ Y ) @ Z @ ( east @ ( m @ ( s @ W ) ) @ ( c @ ( s @ ( s @ W ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extra_cannibal_meal_on_east_bank) ).

thf(3,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ ( s @ ( s @ X ) ) ) ) ) @ Y @ ( east @ Z @ W ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_extra_cannibals_meal_on_west_bank) ).

thf(4,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ ( s @ X ) ) ) ) @ Y @ ( east @ Z @ W ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extra_cannibal_meal_on_west_bank) ).

thf(5,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) )
      | ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',missionary_and_cannibal_east_to_west) ).

thf(6,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
      | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',missionary_and_cannibal_west_to_east) ).

thf(7,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) )
      | ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_missionaries_east_to_west) ).

thf(8,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
      | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_missionaries_west_to_east) ).

thf(9,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) )
      | ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',missionary_east_to_west) ).

thf(10,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
      | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',missionary_west_to_east) ).

thf(11,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) )
      | ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_cannibals_east_to_west) ).

thf(12,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
      | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_cannibals_west_to_east) ).

thf(13,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) )
      | ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cannibal_east_to_west) ).

thf(14,axiom,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
      | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cannibal_west_to_east) ).

thf(15,axiom,
    achievable @ ( west @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @ boatonwest @ ( east @ ( m @ n0 ) @ ( c @ n0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_on_west_bank) ).

thf(16,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(17,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[16]) ).

thf(18,negated_conjecture,
    ! [X: $i] :
      ~ ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ X @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_can_get_to_east_bank) ).

thf(19,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[17]) ).

thf(20,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ X @ Y ) @ Z @ ( east @ ( m @ ( s @ W ) ) @ ( c @ ( s @ ( s @ ( s @ W ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(21,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ X @ Y ) @ Z @ ( east @ ( m @ ( s @ W ) ) @ ( c @ ( s @ ( s @ W ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(22,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ ( s @ ( s @ X ) ) ) ) ) @ Y @ ( east @ Z @ W ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(23,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ ( s @ X ) ) ) ) @ Y @ ( east @ Z @ W ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(24,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) )
          | ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(25,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(26,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(27,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(28,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(29,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(30,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(31,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(32,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(33,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(34,plain,
    ( ( achievable @ ( west @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @ boatonwest @ ( east @ ( m @ n0 ) @ ( c @ n0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(35,plain,
    ( ( ! [X: $i] :
          ~ ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ X @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(36,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[19]) ).

thf(37,plain,
    ( ( ! [X: $i] :
          ~ ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ X @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(38,plain,
    ( ( achievable @ ( west @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @ boatonwest @ ( east @ ( m @ n0 ) @ ( c @ n0 ) ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(39,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(40,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(41,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(42,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(43,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(44,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(45,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(46,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(47,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) )
          | ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(48,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
          ( ~ ( achievable @ ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @ ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) )
          | ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @ ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(49,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ ( s @ X ) ) ) ) @ Y @ ( east @ Z @ W ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(50,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ ( s @ ( s @ X ) ) ) ) ) @ Y @ ( east @ Z @ W ) ) )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(51,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ X @ Y ) @ Z @ ( east @ ( m @ ( s @ W ) ) @ ( c @ ( s @ ( s @ W ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(52,plain,
    ( ( ! [X: $i,Y: $i,Z: $i,W: $i] : ( achievable @ ( west @ X @ Y ) @ Z @ ( east @ ( m @ ( s @ W ) ) @ ( c @ ( s @ ( s @ ( s @ W ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(53,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(54,plain,
    ! [SV1: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ SV1 @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[37]) ).

thf(55,plain,
    ! [SV2: $i] :
      ( ( ! [SY57: $i,SY58: $i,SY59: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ ( s @ SY57 ) ) ) @ boatonwest @ ( east @ ( m @ SY58 ) @ ( c @ SY59 ) ) )
            | ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ SY57 ) ) @ boatoneast @ ( east @ ( m @ SY58 ) @ ( c @ ( s @ SY59 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[39]) ).

thf(56,plain,
    ! [SV3: $i] :
      ( ( ! [SY60: $i,SY61: $i,SY62: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ SY60 ) ) @ boatoneast @ ( east @ ( m @ SY61 ) @ ( c @ ( s @ SY62 ) ) ) )
            | ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ ( s @ SY60 ) ) ) @ boatonwest @ ( east @ ( m @ SY61 ) @ ( c @ SY62 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(57,plain,
    ! [SV4: $i] :
      ( ( ! [SY63: $i,SY64: $i,SY65: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ ( s @ ( s @ SY63 ) ) ) ) @ boatonwest @ ( east @ ( m @ SY64 ) @ ( c @ SY65 ) ) )
            | ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ SY63 ) ) @ boatoneast @ ( east @ ( m @ SY64 ) @ ( c @ ( s @ ( s @ SY65 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[41]) ).

thf(58,plain,
    ! [SV5: $i] :
      ( ( ! [SY66: $i,SY67: $i,SY68: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ SY66 ) ) @ boatoneast @ ( east @ ( m @ SY67 ) @ ( c @ ( s @ ( s @ SY68 ) ) ) ) )
            | ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ ( s @ ( s @ SY66 ) ) ) ) @ boatonwest @ ( east @ ( m @ SY67 ) @ ( c @ SY68 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[42]) ).

thf(59,plain,
    ! [SV6: $i] :
      ( ( ! [SY69: $i,SY70: $i,SY71: $i] :
            ( ~ ( achievable @ ( west @ ( m @ ( s @ SV6 ) ) @ ( c @ SY69 ) ) @ boatonwest @ ( east @ ( m @ SY70 ) @ ( c @ SY71 ) ) )
            | ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SY69 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY70 ) ) @ ( c @ SY71 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[43]) ).

thf(60,plain,
    ! [SV7: $i] :
      ( ( ! [SY72: $i,SY73: $i,SY74: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SY72 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY73 ) ) @ ( c @ SY74 ) ) )
            | ( achievable @ ( west @ ( m @ ( s @ SV7 ) ) @ ( c @ SY72 ) ) @ boatonwest @ ( east @ ( m @ SY73 ) @ ( c @ SY74 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[44]) ).

thf(61,plain,
    ! [SV8: $i] :
      ( ( ! [SY75: $i,SY76: $i,SY77: $i] :
            ( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ SV8 ) ) ) @ ( c @ SY75 ) ) @ boatonwest @ ( east @ ( m @ SY76 ) @ ( c @ SY77 ) ) )
            | ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SY75 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SY76 ) ) ) @ ( c @ SY77 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[45]) ).

thf(62,plain,
    ! [SV9: $i] :
      ( ( ! [SY78: $i,SY79: $i,SY80: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SY78 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SY79 ) ) ) @ ( c @ SY80 ) ) )
            | ( achievable @ ( west @ ( m @ ( s @ ( s @ SV9 ) ) ) @ ( c @ SY78 ) ) @ boatonwest @ ( east @ ( m @ SY79 ) @ ( c @ SY80 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[46]) ).

thf(63,plain,
    ! [SV10: $i] :
      ( ( ! [SY81: $i,SY82: $i,SY83: $i] :
            ( ~ ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ ( s @ SY81 ) ) ) @ boatonwest @ ( east @ ( m @ SY82 ) @ ( c @ SY83 ) ) )
            | ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SY81 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY82 ) ) @ ( c @ ( s @ SY83 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[47]) ).

thf(64,plain,
    ! [SV11: $i] :
      ( ( ! [SY84: $i,SY85: $i,SY86: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SY84 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY85 ) ) @ ( c @ ( s @ SY86 ) ) ) )
            | ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ ( s @ SY84 ) ) ) @ boatonwest @ ( east @ ( m @ SY85 ) @ ( c @ SY86 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[48]) ).

thf(65,plain,
    ! [SV12: $i] :
      ( ( ! [SY87: $i,SY88: $i,SY89: $i] : ( achievable @ ( west @ ( m @ ( s @ SV12 ) ) @ ( c @ ( s @ ( s @ SV12 ) ) ) ) @ SY87 @ ( east @ SY88 @ SY89 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[49]) ).

thf(66,plain,
    ! [SV13: $i] :
      ( ( ! [SY90: $i,SY91: $i,SY92: $i] : ( achievable @ ( west @ ( m @ ( s @ SV13 ) ) @ ( c @ ( s @ ( s @ ( s @ SV13 ) ) ) ) ) @ SY90 @ ( east @ SY91 @ SY92 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[50]) ).

thf(67,plain,
    ! [SV14: $i] :
      ( ( ! [SY93: $i,SY94: $i,SY95: $i] : ( achievable @ ( west @ SV14 @ SY93 ) @ SY94 @ ( east @ ( m @ ( s @ SY95 ) ) @ ( c @ ( s @ ( s @ SY95 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[51]) ).

thf(68,plain,
    ! [SV15: $i] :
      ( ( ! [SY96: $i,SY97: $i,SY98: $i] : ( achievable @ ( west @ SV15 @ SY96 ) @ SY97 @ ( east @ ( m @ ( s @ SY98 ) ) @ ( c @ ( s @ ( s @ ( s @ SY98 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[52]) ).

thf(69,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(70,plain,
    ! [SV1: $i] :
      ( ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ SV1 @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[54]) ).

thf(71,plain,
    ! [SV16: $i,SV2: $i] :
      ( ( ! [SY99: $i,SY100: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ ( s @ SV16 ) ) ) @ boatonwest @ ( east @ ( m @ SY99 ) @ ( c @ SY100 ) ) )
            | ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ SV16 ) ) @ boatoneast @ ( east @ ( m @ SY99 ) @ ( c @ ( s @ SY100 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[55]) ).

thf(72,plain,
    ! [SV17: $i,SV3: $i] :
      ( ( ! [SY101: $i,SY102: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ SV17 ) ) @ boatoneast @ ( east @ ( m @ SY101 ) @ ( c @ ( s @ SY102 ) ) ) )
            | ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ ( s @ SV17 ) ) ) @ boatonwest @ ( east @ ( m @ SY101 ) @ ( c @ SY102 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[56]) ).

thf(73,plain,
    ! [SV18: $i,SV4: $i] :
      ( ( ! [SY103: $i,SY104: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ ( s @ ( s @ SV18 ) ) ) ) @ boatonwest @ ( east @ ( m @ SY103 ) @ ( c @ SY104 ) ) )
            | ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SY103 ) @ ( c @ ( s @ ( s @ SY104 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[57]) ).

thf(74,plain,
    ! [SV19: $i,SV5: $i] :
      ( ( ! [SY105: $i,SY106: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SY105 ) @ ( c @ ( s @ ( s @ SY106 ) ) ) ) )
            | ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ ( s @ ( s @ SV19 ) ) ) ) @ boatonwest @ ( east @ ( m @ SY105 ) @ ( c @ SY106 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[58]) ).

thf(75,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ! [SY107: $i,SY108: $i] :
            ( ~ ( achievable @ ( west @ ( m @ ( s @ SV6 ) ) @ ( c @ SV20 ) ) @ boatonwest @ ( east @ ( m @ SY107 ) @ ( c @ SY108 ) ) )
            | ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY107 ) ) @ ( c @ SY108 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[59]) ).

thf(76,plain,
    ! [SV21: $i,SV7: $i] :
      ( ( ! [SY109: $i,SY110: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY109 ) ) @ ( c @ SY110 ) ) )
            | ( achievable @ ( west @ ( m @ ( s @ SV7 ) ) @ ( c @ SV21 ) ) @ boatonwest @ ( east @ ( m @ SY109 ) @ ( c @ SY110 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[60]) ).

thf(77,plain,
    ! [SV22: $i,SV8: $i] :
      ( ( ! [SY111: $i,SY112: $i] :
            ( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ SV8 ) ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SY111 ) @ ( c @ SY112 ) ) )
            | ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SY111 ) ) ) @ ( c @ SY112 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[61]) ).

thf(78,plain,
    ! [SV23: $i,SV9: $i] :
      ( ( ! [SY113: $i,SY114: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SY113 ) ) ) @ ( c @ SY114 ) ) )
            | ( achievable @ ( west @ ( m @ ( s @ ( s @ SV9 ) ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SY113 ) @ ( c @ SY114 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[62]) ).

thf(79,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ! [SY115: $i,SY116: $i] :
            ( ~ ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ ( s @ SV24 ) ) ) @ boatonwest @ ( east @ ( m @ SY115 ) @ ( c @ SY116 ) ) )
            | ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY115 ) ) @ ( c @ ( s @ SY116 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[63]) ).

thf(80,plain,
    ! [SV25: $i,SV11: $i] :
      ( ( ! [SY117: $i,SY118: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SY117 ) ) @ ( c @ ( s @ SY118 ) ) ) )
            | ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ ( s @ SV25 ) ) ) @ boatonwest @ ( east @ ( m @ SY117 ) @ ( c @ SY118 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[64]) ).

thf(81,plain,
    ! [SV26: $i,SV12: $i] :
      ( ( ! [SY119: $i,SY120: $i] : ( achievable @ ( west @ ( m @ ( s @ SV12 ) ) @ ( c @ ( s @ ( s @ SV12 ) ) ) ) @ SV26 @ ( east @ SY119 @ SY120 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[65]) ).

thf(82,plain,
    ! [SV27: $i,SV13: $i] :
      ( ( ! [SY121: $i,SY122: $i] : ( achievable @ ( west @ ( m @ ( s @ SV13 ) ) @ ( c @ ( s @ ( s @ ( s @ SV13 ) ) ) ) ) @ SV27 @ ( east @ SY121 @ SY122 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[66]) ).

thf(83,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ! [SY123: $i,SY124: $i] : ( achievable @ ( west @ SV14 @ SV28 ) @ SY123 @ ( east @ ( m @ ( s @ SY124 ) ) @ ( c @ ( s @ ( s @ SY124 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[67]) ).

thf(84,plain,
    ! [SV29: $i,SV15: $i] :
      ( ( ! [SY125: $i,SY126: $i] : ( achievable @ ( west @ SV15 @ SV29 ) @ SY125 @ ( east @ ( m @ ( s @ SY126 ) ) @ ( c @ ( s @ ( s @ ( s @ SY126 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[68]) ).

thf(85,plain,
    ! [SV30: $i,SV16: $i,SV2: $i] :
      ( ( ! [SY127: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ ( s @ SV16 ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SY127 ) ) )
            | ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ SV16 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ SY127 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[71]) ).

thf(86,plain,
    ! [SV31: $i,SV17: $i,SV3: $i] :
      ( ( ! [SY128: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ SV17 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ SY128 ) ) ) )
            | ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ ( s @ SV17 ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SY128 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[72]) ).

thf(87,plain,
    ! [SV32: $i,SV18: $i,SV4: $i] :
      ( ( ! [SY129: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ ( s @ ( s @ SV18 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SY129 ) ) )
            | ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV32 ) @ ( c @ ( s @ ( s @ SY129 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[73]) ).

thf(88,plain,
    ! [SV33: $i,SV19: $i,SV5: $i] :
      ( ( ! [SY130: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV33 ) @ ( c @ ( s @ ( s @ SY130 ) ) ) ) )
            | ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ ( s @ ( s @ SV19 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SY130 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[74]) ).

thf(89,plain,
    ! [SV34: $i,SV20: $i,SV6: $i] :
      ( ( ! [SY131: $i] :
            ( ~ ( achievable @ ( west @ ( m @ ( s @ SV6 ) ) @ ( c @ SV20 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SY131 ) ) )
            | ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV34 ) ) @ ( c @ SY131 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[75]) ).

thf(90,plain,
    ! [SV35: $i,SV21: $i,SV7: $i] :
      ( ( ! [SY132: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV35 ) ) @ ( c @ SY132 ) ) )
            | ( achievable @ ( west @ ( m @ ( s @ SV7 ) ) @ ( c @ SV21 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SY132 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[76]) ).

thf(91,plain,
    ! [SV36: $i,SV22: $i,SV8: $i] :
      ( ( ! [SY133: $i] :
            ( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ SV8 ) ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SY133 ) ) )
            | ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV36 ) ) ) @ ( c @ SY133 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[77]) ).

thf(92,plain,
    ! [SV37: $i,SV23: $i,SV9: $i] :
      ( ( ! [SY134: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV37 ) ) ) @ ( c @ SY134 ) ) )
            | ( achievable @ ( west @ ( m @ ( s @ ( s @ SV9 ) ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SY134 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[78]) ).

thf(93,plain,
    ! [SV38: $i,SV24: $i,SV10: $i] :
      ( ( ! [SY135: $i] :
            ( ~ ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ ( s @ SV24 ) ) ) @ boatonwest @ ( east @ ( m @ SV38 ) @ ( c @ SY135 ) ) )
            | ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV38 ) ) @ ( c @ ( s @ SY135 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[79]) ).

thf(94,plain,
    ! [SV39: $i,SV25: $i,SV11: $i] :
      ( ( ! [SY136: $i] :
            ( ~ ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV39 ) ) @ ( c @ ( s @ SY136 ) ) ) )
            | ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ ( s @ SV25 ) ) ) @ boatonwest @ ( east @ ( m @ SV39 ) @ ( c @ SY136 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[80]) ).

thf(95,plain,
    ! [SV40: $i,SV26: $i,SV12: $i] :
      ( ( ! [SY137: $i] : ( achievable @ ( west @ ( m @ ( s @ SV12 ) ) @ ( c @ ( s @ ( s @ SV12 ) ) ) ) @ SV26 @ ( east @ SV40 @ SY137 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[81]) ).

thf(96,plain,
    ! [SV41: $i,SV27: $i,SV13: $i] :
      ( ( ! [SY138: $i] : ( achievable @ ( west @ ( m @ ( s @ SV13 ) ) @ ( c @ ( s @ ( s @ ( s @ SV13 ) ) ) ) ) @ SV27 @ ( east @ SV41 @ SY138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[82]) ).

thf(97,plain,
    ! [SV42: $i,SV28: $i,SV14: $i] :
      ( ( ! [SY139: $i] : ( achievable @ ( west @ SV14 @ SV28 ) @ SV42 @ ( east @ ( m @ ( s @ SY139 ) ) @ ( c @ ( s @ ( s @ SY139 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[83]) ).

thf(98,plain,
    ! [SV43: $i,SV29: $i,SV15: $i] :
      ( ( ! [SY140: $i] : ( achievable @ ( west @ SV15 @ SV29 ) @ SV43 @ ( east @ ( m @ ( s @ SY140 ) ) @ ( c @ ( s @ ( s @ ( s @ SY140 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[84]) ).

thf(99,plain,
    ! [SV44: $i,SV30: $i,SV16: $i,SV2: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ ( s @ SV16 ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SV44 ) ) )
        | ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ SV16 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ SV44 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[85]) ).

thf(100,plain,
    ! [SV45: $i,SV31: $i,SV17: $i,SV3: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ SV17 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ SV45 ) ) ) )
        | ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ ( s @ SV17 ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SV45 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[86]) ).

thf(101,plain,
    ! [SV46: $i,SV32: $i,SV18: $i,SV4: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ ( s @ ( s @ SV18 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SV46 ) ) )
        | ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV32 ) @ ( c @ ( s @ ( s @ SV46 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[87]) ).

thf(102,plain,
    ! [SV47: $i,SV33: $i,SV19: $i,SV5: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV33 ) @ ( c @ ( s @ ( s @ SV47 ) ) ) ) )
        | ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ ( s @ ( s @ SV19 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SV47 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[88]) ).

thf(103,plain,
    ! [SV48: $i,SV34: $i,SV20: $i,SV6: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ ( s @ SV6 ) ) @ ( c @ SV20 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SV48 ) ) )
        | ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV34 ) ) @ ( c @ SV48 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[89]) ).

thf(104,plain,
    ! [SV49: $i,SV35: $i,SV21: $i,SV7: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV35 ) ) @ ( c @ SV49 ) ) )
        | ( achievable @ ( west @ ( m @ ( s @ SV7 ) ) @ ( c @ SV21 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SV49 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[90]) ).

thf(105,plain,
    ! [SV50: $i,SV36: $i,SV22: $i,SV8: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ SV8 ) ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SV50 ) ) )
        | ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV36 ) ) ) @ ( c @ SV50 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[91]) ).

thf(106,plain,
    ! [SV51: $i,SV37: $i,SV23: $i,SV9: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV37 ) ) ) @ ( c @ SV51 ) ) )
        | ( achievable @ ( west @ ( m @ ( s @ ( s @ SV9 ) ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SV51 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[92]) ).

thf(107,plain,
    ! [SV52: $i,SV38: $i,SV24: $i,SV10: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ ( s @ SV24 ) ) ) @ boatonwest @ ( east @ ( m @ SV38 ) @ ( c @ SV52 ) ) )
        | ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV38 ) ) @ ( c @ ( s @ SV52 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[93]) ).

thf(108,plain,
    ! [SV53: $i,SV39: $i,SV25: $i,SV11: $i] :
      ( ( ~ ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV39 ) ) @ ( c @ ( s @ SV53 ) ) ) )
        | ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ ( s @ SV25 ) ) ) @ boatonwest @ ( east @ ( m @ SV39 ) @ ( c @ SV53 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[94]) ).

thf(109,plain,
    ! [SV54: $i,SV40: $i,SV26: $i,SV12: $i] :
      ( ( achievable @ ( west @ ( m @ ( s @ SV12 ) ) @ ( c @ ( s @ ( s @ SV12 ) ) ) ) @ SV26 @ ( east @ SV40 @ SV54 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[95]) ).

thf(110,plain,
    ! [SV55: $i,SV41: $i,SV27: $i,SV13: $i] :
      ( ( achievable @ ( west @ ( m @ ( s @ SV13 ) ) @ ( c @ ( s @ ( s @ ( s @ SV13 ) ) ) ) ) @ SV27 @ ( east @ SV41 @ SV55 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[96]) ).

thf(111,plain,
    ! [SV56: $i,SV42: $i,SV28: $i,SV14: $i] :
      ( ( achievable @ ( west @ SV14 @ SV28 ) @ SV42 @ ( east @ ( m @ ( s @ SV56 ) ) @ ( c @ ( s @ ( s @ SV56 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(112,plain,
    ! [SV57: $i,SV43: $i,SV29: $i,SV15: $i] :
      ( ( achievable @ ( west @ SV15 @ SV29 ) @ SV43 @ ( east @ ( m @ ( s @ SV57 ) ) @ ( c @ ( s @ ( s @ ( s @ SV57 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[98]) ).

thf(113,plain,
    ! [SV44: $i,SV30: $i,SV16: $i,SV2: $i] :
      ( ( ( ~ ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ ( s @ SV16 ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SV44 ) ) ) )
        = $true )
      | ( ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ SV16 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ SV44 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[99]) ).

thf(114,plain,
    ! [SV45: $i,SV31: $i,SV17: $i,SV3: $i] :
      ( ( ( ~ ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ SV17 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ SV45 ) ) ) ) )
        = $true )
      | ( ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ ( s @ SV17 ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SV45 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[100]) ).

thf(115,plain,
    ! [SV46: $i,SV32: $i,SV18: $i,SV4: $i] :
      ( ( ( ~ ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ ( s @ ( s @ SV18 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SV46 ) ) ) )
        = $true )
      | ( ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV32 ) @ ( c @ ( s @ ( s @ SV46 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[101]) ).

thf(116,plain,
    ! [SV47: $i,SV33: $i,SV19: $i,SV5: $i] :
      ( ( ( ~ ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV33 ) @ ( c @ ( s @ ( s @ SV47 ) ) ) ) ) )
        = $true )
      | ( ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ ( s @ ( s @ SV19 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SV47 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[102]) ).

thf(117,plain,
    ! [SV48: $i,SV34: $i,SV20: $i,SV6: $i] :
      ( ( ( ~ ( achievable @ ( west @ ( m @ ( s @ SV6 ) ) @ ( c @ SV20 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SV48 ) ) ) )
        = $true )
      | ( ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV34 ) ) @ ( c @ SV48 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[103]) ).

thf(118,plain,
    ! [SV49: $i,SV35: $i,SV21: $i,SV7: $i] :
      ( ( ( ~ ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV35 ) ) @ ( c @ SV49 ) ) ) )
        = $true )
      | ( ( achievable @ ( west @ ( m @ ( s @ SV7 ) ) @ ( c @ SV21 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SV49 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[104]) ).

thf(119,plain,
    ! [SV50: $i,SV36: $i,SV22: $i,SV8: $i] :
      ( ( ( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ SV8 ) ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SV50 ) ) ) )
        = $true )
      | ( ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV36 ) ) ) @ ( c @ SV50 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[105]) ).

thf(120,plain,
    ! [SV51: $i,SV37: $i,SV23: $i,SV9: $i] :
      ( ( ( ~ ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV37 ) ) ) @ ( c @ SV51 ) ) ) )
        = $true )
      | ( ( achievable @ ( west @ ( m @ ( s @ ( s @ SV9 ) ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SV51 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[106]) ).

thf(121,plain,
    ! [SV52: $i,SV38: $i,SV24: $i,SV10: $i] :
      ( ( ( ~ ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ ( s @ SV24 ) ) ) @ boatonwest @ ( east @ ( m @ SV38 ) @ ( c @ SV52 ) ) ) )
        = $true )
      | ( ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV38 ) ) @ ( c @ ( s @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[107]) ).

thf(122,plain,
    ! [SV53: $i,SV39: $i,SV25: $i,SV11: $i] :
      ( ( ( ~ ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV39 ) ) @ ( c @ ( s @ SV53 ) ) ) ) )
        = $true )
      | ( ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ ( s @ SV25 ) ) ) @ boatonwest @ ( east @ ( m @ SV39 ) @ ( c @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[108]) ).

thf(123,plain,
    ! [SV44: $i,SV30: $i,SV16: $i,SV2: $i] :
      ( ( ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ ( s @ SV16 ) ) ) @ boatonwest @ ( east @ ( m @ SV30 ) @ ( c @ SV44 ) ) )
        = $false )
      | ( ( achievable @ ( west @ ( m @ SV2 ) @ ( c @ SV16 ) ) @ boatoneast @ ( east @ ( m @ SV30 ) @ ( c @ ( s @ SV44 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[113]) ).

thf(124,plain,
    ! [SV45: $i,SV31: $i,SV17: $i,SV3: $i] :
      ( ( ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ SV17 ) ) @ boatoneast @ ( east @ ( m @ SV31 ) @ ( c @ ( s @ SV45 ) ) ) )
        = $false )
      | ( ( achievable @ ( west @ ( m @ SV3 ) @ ( c @ ( s @ SV17 ) ) ) @ boatonwest @ ( east @ ( m @ SV31 ) @ ( c @ SV45 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[114]) ).

thf(125,plain,
    ! [SV46: $i,SV32: $i,SV18: $i,SV4: $i] :
      ( ( ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ ( s @ ( s @ SV18 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV32 ) @ ( c @ SV46 ) ) )
        = $false )
      | ( ( achievable @ ( west @ ( m @ SV4 ) @ ( c @ SV18 ) ) @ boatoneast @ ( east @ ( m @ SV32 ) @ ( c @ ( s @ ( s @ SV46 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[115]) ).

thf(126,plain,
    ! [SV47: $i,SV33: $i,SV19: $i,SV5: $i] :
      ( ( ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ SV19 ) ) @ boatoneast @ ( east @ ( m @ SV33 ) @ ( c @ ( s @ ( s @ SV47 ) ) ) ) )
        = $false )
      | ( ( achievable @ ( west @ ( m @ SV5 ) @ ( c @ ( s @ ( s @ SV19 ) ) ) ) @ boatonwest @ ( east @ ( m @ SV33 ) @ ( c @ SV47 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[116]) ).

thf(127,plain,
    ! [SV48: $i,SV34: $i,SV20: $i,SV6: $i] :
      ( ( ( achievable @ ( west @ ( m @ ( s @ SV6 ) ) @ ( c @ SV20 ) ) @ boatonwest @ ( east @ ( m @ SV34 ) @ ( c @ SV48 ) ) )
        = $false )
      | ( ( achievable @ ( west @ ( m @ SV6 ) @ ( c @ SV20 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV34 ) ) @ ( c @ SV48 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[117]) ).

thf(128,plain,
    ! [SV49: $i,SV35: $i,SV21: $i,SV7: $i] :
      ( ( ( achievable @ ( west @ ( m @ SV7 ) @ ( c @ SV21 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV35 ) ) @ ( c @ SV49 ) ) )
        = $false )
      | ( ( achievable @ ( west @ ( m @ ( s @ SV7 ) ) @ ( c @ SV21 ) ) @ boatonwest @ ( east @ ( m @ SV35 ) @ ( c @ SV49 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[118]) ).

thf(129,plain,
    ! [SV50: $i,SV36: $i,SV22: $i,SV8: $i] :
      ( ( ( achievable @ ( west @ ( m @ ( s @ ( s @ SV8 ) ) ) @ ( c @ SV22 ) ) @ boatonwest @ ( east @ ( m @ SV36 ) @ ( c @ SV50 ) ) )
        = $false )
      | ( ( achievable @ ( west @ ( m @ SV8 ) @ ( c @ SV22 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV36 ) ) ) @ ( c @ SV50 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[119]) ).

thf(130,plain,
    ! [SV51: $i,SV37: $i,SV23: $i,SV9: $i] :
      ( ( ( achievable @ ( west @ ( m @ SV9 ) @ ( c @ SV23 ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ SV37 ) ) ) @ ( c @ SV51 ) ) )
        = $false )
      | ( ( achievable @ ( west @ ( m @ ( s @ ( s @ SV9 ) ) ) @ ( c @ SV23 ) ) @ boatonwest @ ( east @ ( m @ SV37 ) @ ( c @ SV51 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[120]) ).

thf(131,plain,
    ! [SV52: $i,SV38: $i,SV24: $i,SV10: $i] :
      ( ( ( achievable @ ( west @ ( m @ ( s @ SV10 ) ) @ ( c @ ( s @ SV24 ) ) ) @ boatonwest @ ( east @ ( m @ SV38 ) @ ( c @ SV52 ) ) )
        = $false )
      | ( ( achievable @ ( west @ ( m @ SV10 ) @ ( c @ SV24 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV38 ) ) @ ( c @ ( s @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[121]) ).

thf(132,plain,
    ! [SV53: $i,SV39: $i,SV25: $i,SV11: $i] :
      ( ( ( achievable @ ( west @ ( m @ SV11 ) @ ( c @ SV25 ) ) @ boatoneast @ ( east @ ( m @ ( s @ SV39 ) ) @ ( c @ ( s @ SV53 ) ) ) )
        = $false )
      | ( ( achievable @ ( west @ ( m @ ( s @ SV11 ) ) @ ( c @ ( s @ SV25 ) ) ) @ boatonwest @ ( east @ ( m @ SV39 ) @ ( c @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[122]) ).

thf(133,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[38,132,131,130,129,128,127,126,125,124,123,112,111,110,109,70,69]) ).

thf(134,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[133]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.35  % Computer : n018.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Sun May 29 02:18:10 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.12/0.38  
% 0.12/0.38   No.of.Axioms: 16
% 0.12/0.38  
% 0.12/0.38   Length.of.Defs: 0
% 0.12/0.38  
% 0.12/0.38   Contains.Choice.Funs: false
% 0.20/0.41  (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:18,loop_count:0,foatp_calls:0,translation:fof_full).........
% 0.20/0.55  
% 0.20/0.55  ********************************
% 0.20/0.55  *   All subproblems solved!    *
% 0.20/0.55  ********************************
% 0.20/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:133,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.56  
% 0.20/0.56  %**** Beginning of derivation protocol ****
% 0.20/0.56  % SZS output start CNFRefutation
% See solution above
% 0.20/0.56  
% 0.20/0.56  %**** End of derivation protocol ****
% 0.20/0.56  %**** no. of clauses in derivation: 134 ****
% 0.20/0.56  %**** clause counter: 133 ****
% 0.20/0.56  
% 0.20/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:133,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------