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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ141^1 : TPTP v9.2.0. Released v6.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0j4Wpcugbs true

% 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  : 300s
% DateTime : Thu Oct  2 04:49:47 PM UTC 2025

% Result   : Theorem 0.57s 0.83s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   41 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :   88 (  43 equ;   7 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  315 (  29   ~;  20   |;   0   &; 246   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (   9 usr;   9 con; 0-2 aty)
%                                         (   6  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   59 (   7   ^;  50   !;   2   ?;  59   :)

% Comments : 
%------------------------------------------------------------------------------
thf(position_type,type,
    position: $tType ).

thf(direction_type,type,
    direction: $tType ).

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

thf(c00_type,type,
    c00: position ).

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

thf(c10_type,type,
    c10: position ).

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

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

thf(right_type,type,
    right: direction ).

thf(c20_type,type,
    c20: position ).

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

thf(nomove_type,type,
    nomove: movelist ).

thf(c20_defin,axiom,
    ( c20
    = ( next @ c10 @ right ) ) ).

thf(zip_derived_cl6,plain,
    ( c20
    = ( next @ c10 @ right ) ),
    inference(cnf,[status(esa)],[c20_defin]) ).

thf(c10_defin,axiom,
    ( c10
    = ( next @ c00 @ right ) ) ).

thf(zip_derived_cl5,plain,
    ( c10
    = ( next @ c00 @ right ) ),
    inference(cnf,[status(esa)],[c10_defin]) ).

thf(start_axiom,axiom,
    ( ( playerpos @ nomove )
    = c00 ) ).

thf(zip_derived_cl10,plain,
    ( ( playerpos @ nomove )
    = c00 ),
    inference(cnf,[status(esa)],[start_axiom]) ).

thf(player_move_legal,axiom,
    ! [PO: position,M: movelist,D: direction] :
      ( ( ( playerpos @ M )
        = PO )
     => ( ~ ( wall @ ( next @ PO @ D ) )
       => ( ( playerpos @ ( movedir @ M @ D ) )
          = ( next @ PO @ D ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: position] :
        ( !!
        @ ^ [Y1: movelist] :
            ( !!
            @ ^ [Y2: direction] :
                ( ( ( playerpos @ Y1 )
                  = Y0 )
               => ( ( (~) @ ( wall @ ( next @ Y0 @ Y2 ) ) )
                 => ( ( playerpos @ ( movedir @ Y1 @ Y2 ) )
                    = ( next @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[player_move_legal]) ).

thf(zip_derived_cl68,plain,
    ! [X2: position] :
      ( !!
      @ ^ [Y0: movelist] :
          ( !!
          @ ^ [Y1: direction] :
              ( ( ( playerpos @ Y0 )
                = X2 )
             => ( ( (~) @ ( wall @ ( next @ X2 @ Y1 ) ) )
               => ( ( playerpos @ ( movedir @ Y0 @ Y1 ) )
                  = ( next @ X2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl69,plain,
    ! [X2: position,X4: movelist] :
      ( !!
      @ ^ [Y0: direction] :
          ( ( ( playerpos @ X4 )
            = X2 )
         => ( ( (~) @ ( wall @ ( next @ X2 @ Y0 ) ) )
           => ( ( playerpos @ ( movedir @ X4 @ Y0 ) )
              = ( next @ X2 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl70,plain,
    ! [X2: position,X4: movelist,X6: direction] :
      ( ( ( playerpos @ X4 )
        = X2 )
     => ( ( (~) @ ( wall @ ( next @ X2 @ X6 ) ) )
       => ( ( playerpos @ ( movedir @ X4 @ X6 ) )
          = ( next @ X2 @ X6 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl71,plain,
    ! [X2: position,X4: movelist,X6: direction] :
      ( ( ( playerpos @ X4 )
       != X2 )
      | ( ( (~) @ ( wall @ ( next @ X2 @ X6 ) ) )
       => ( ( playerpos @ ( movedir @ X4 @ X6 ) )
          = ( next @ X2 @ X6 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl70]) ).

thf(zip_derived_cl72,plain,
    ! [X2: position,X4: movelist,X6: direction] :
      ( ( ( playerpos @ X4 )
       != X2 )
      | ( ( (~) @ ( wall @ ( next @ X2 @ X6 ) ) )
       => ( ( playerpos @ ( movedir @ X4 @ X6 ) )
          = ( next @ X2 @ X6 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl73,plain,
    ! [X4: movelist,X6: direction] :
      ( ( (~) @ ( wall @ ( next @ ( playerpos @ X4 ) @ X6 ) ) )
     => ( ( playerpos @ ( movedir @ X4 @ X6 ) )
        = ( next @ ( playerpos @ X4 ) @ X6 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl74,plain,
    ! [X4: movelist,X6: direction] :
      ( ( wall @ ( next @ ( playerpos @ X4 ) @ X6 ) )
      | ( ( playerpos @ ( movedir @ X4 @ X6 ) )
        = ( next @ ( playerpos @ X4 ) @ X6 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl75,plain,
    ! [X4: movelist,X6: direction] :
      ( ( wall @ ( next @ ( playerpos @ X4 ) @ X6 ) )
      | ( ( playerpos @ ( movedir @ X4 @ X6 ) )
        = ( next @ ( playerpos @ X4 ) @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl75_001,plain,
    ! [X4: movelist,X6: direction] :
      ( ( wall @ ( next @ ( playerpos @ X4 ) @ X6 ) )
      | ( ( playerpos @ ( movedir @ X4 @ X6 ) )
        = ( next @ ( playerpos @ X4 ) @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl75_002,plain,
    ! [X4: movelist,X6: direction] :
      ( ( wall @ ( next @ ( playerpos @ X4 ) @ X6 ) )
      | ( ( playerpos @ ( movedir @ X4 @ X6 ) )
        = ( next @ ( playerpos @ X4 ) @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl74]) ).

thf(exercise,conjecture,
    ? [M: movelist] :
      ( ( playerpos @ M )
      = c20 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [M: movelist] :
        ( ( playerpos @ M )
        = c20 ),
    inference('cnf.neg',[status(esa)],[exercise]) ).

thf(zip_derived_cl11,plain,
    ~ ( ??
      @ ^ [Y0: movelist] :
          ( ( playerpos @ Y0 )
          = c20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X2: movelist] :
      ( ( playerpos @ X2 )
     != c20 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    ! [X2: movelist] :
      ( ( playerpos @ X2 )
     != c20 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl76,plain,
    ! [X0: direction,X1: movelist] :
      ( ( ( next @ ( playerpos @ X1 ) @ X0 )
       != c20 )
      | ( wall @ ( next @ ( playerpos @ X1 ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl13]) ).

thf(zip_derived_cl100,plain,
    ! [X0: direction,X1: movelist,X2: direction] :
      ( ( wall @ ( next @ ( next @ ( playerpos @ X1 ) @ X0 ) @ X2 ) )
      | ( wall @ ( next @ ( playerpos @ X1 ) @ X0 ) )
      | ( ( next @ ( playerpos @ ( movedir @ X1 @ X0 ) ) @ X2 )
       != c20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl76]) ).

thf(zip_derived_cl135,plain,
    ! [X0: direction,X1: movelist,X2: direction] :
      ( ( ( next @ ( next @ ( playerpos @ X1 ) @ X0 ) @ X2 )
       != c20 )
      | ( wall @ ( next @ ( playerpos @ X1 ) @ X0 ) )
      | ( wall @ ( next @ ( playerpos @ X1 ) @ X0 ) )
      | ( wall @ ( next @ ( next @ ( playerpos @ X1 ) @ X0 ) @ X2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl100]) ).

thf(zip_derived_cl138,plain,
    ! [X0: direction,X1: movelist,X2: direction] :
      ( ( wall @ ( next @ ( next @ ( playerpos @ X1 ) @ X0 ) @ X2 ) )
      | ( wall @ ( next @ ( playerpos @ X1 ) @ X0 ) )
      | ( ( next @ ( next @ ( playerpos @ X1 ) @ X0 ) @ X2 )
       != c20 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl139,plain,
    ! [X0: direction,X1: movelist,X2: direction] :
      ( ( wall @ c20 )
      | ( wall @ ( next @ ( playerpos @ X1 ) @ X0 ) )
      | ( ( next @ ( next @ ( playerpos @ X1 ) @ X0 ) @ X2 )
       != c20 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl138]) ).

thf(c20_axiom,axiom,
    ~ ( wall @ c20 ) ).

thf(zip_derived_cl9,plain,
    ~ ( wall @ c20 ),
    inference(cnf,[status(esa)],[c20_axiom]) ).

thf(zip_derived_cl198,plain,
    ! [X0: direction,X1: movelist,X2: direction] :
      ( ( ( next @ ( next @ ( playerpos @ X1 ) @ X0 ) @ X2 )
       != c20 )
      | ( wall @ ( next @ ( playerpos @ X1 ) @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl9]) ).

thf(zip_derived_cl201,plain,
    ! [X0: direction,X1: direction] :
      ( ( ( next @ ( next @ c00 @ X1 ) @ X0 )
       != c20 )
      | ( wall @ ( next @ ( playerpos @ nomove ) @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl198]) ).

thf(zip_derived_cl10_003,plain,
    ( ( playerpos @ nomove )
    = c00 ),
    inference(cnf,[status(esa)],[start_axiom]) ).

thf(zip_derived_cl215,plain,
    ! [X0: direction,X1: direction] :
      ( ( ( next @ ( next @ c00 @ X1 ) @ X0 )
       != c20 )
      | ( wall @ ( next @ c00 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl10]) ).

thf(zip_derived_cl301,plain,
    ! [X0: direction] :
      ( ( ( next @ c10 @ X0 )
       != c20 )
      | ( wall @ ( next @ c00 @ right ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl215]) ).

thf(zip_derived_cl5_004,plain,
    ( c10
    = ( next @ c00 @ right ) ),
    inference(cnf,[status(esa)],[c10_defin]) ).

thf(c10_axiom,axiom,
    ~ ( wall @ c10 ) ).

thf(zip_derived_cl8,plain,
    ~ ( wall @ c10 ),
    inference(cnf,[status(esa)],[c10_axiom]) ).

thf(zip_derived_cl315,plain,
    ! [X0: direction] :
      ( ( next @ c10 @ X0 )
     != c20 ),
    inference(demod,[status(thm)],[zip_derived_cl301,zip_derived_cl5,zip_derived_cl8]) ).

thf(zip_derived_cl323,plain,
    c20 != c20,
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl315]) ).

thf(zip_derived_cl326,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl323]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : PUZ141^1 : TPTP v9.2.0. Released v6.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0j4Wpcugbs true
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 15:08:53 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.55/0.66  % Total configuration time : 828
% 0.55/0.66  % Estimated wc time : 1656
% 0.55/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.83  % Solved by lams/35_full_unif4.sh.
% 0.57/0.83  % done 61 iterations in 0.049s
% 0.57/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.83  % SZS output start Refutation
% See solution above
% 0.57/0.83  
% 0.57/0.83  
% 0.57/0.83  % Terminating...
% 0.60/0.88  % Runner terminated.
% 0.60/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------