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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT114+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rw9kv6cwZa true

% Computer : n027.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 : Tue Sep  8 06:25:24 AM UTC 2026

% Result   : Unsatisfiable 0.46s 0.80s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   79 (  34 unt;   0 typ;   0 def)
%            Number of atoms       :  220 (  30 equ;   0 cnn)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  855 (  87   ~; 104   |;  22   &; 627   @)
%                                         (   8 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   7 con; 0-5 aty)
%            Number of variables   :  143 (   0   ^; 139   !;   4   ?; 143   :)

% Comments : 
%------------------------------------------------------------------------------
thf(permission_type,type,
    permission: $i > $o ).

thf(no_right_type,type,
    no_right: $i > $o ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $i > $i > $i > $i > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $i > $i > $o ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $i > $i > $o ).

thf(odrl_rel_type,type,
    odrl_rel: $i > $o ).

thf(some_action_type,type,
    some_action: $i ).

thf(sk__type,type,
    sk_: $i > $i > $i > $i > $i ).

thf(sk__3_type,type,
    sk__3: $i > $i > $i > $i ).

thf(l_type,type,
    l: $i ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $i > $i > $o ).

thf(rho1_type,type,
    rho1: $i ).

thf(cnt_type,type,
    cnt: $i > $i > $i > $o ).

thf(n2_type,type,
    n2: $i ).

thf(some_target_type,type,
    some_target: $i ).

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: $i > $i > $i > $i > $o ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $i > $i > $i > $o ).

thf(n1_type,type,
    n1: $i ).

thf(part_of_type,type,
    part_of: $i > $i > $o ).

thf(partof_n2,axiom,
    part_of @ n2 @ rho1 ).

thf(zip_derived_cl36,plain,
    part_of @ n2 @ rho1,
    inference(cnf,[status(esa)],[partof_n2]) ).

thf(ax_correlativity_permission,axiom,
    ! [Rho: $i,A: $i,T: $i] :
      ( ( odrl_rel @ Rho )
     => ( ? [L: $i] :
            ( ( permission @ L )
            & ( part_of @ L @ Rho )
            & ( cnt @ L @ A @ T )
            & ! [L2: $i] :
                ( ( ( cnt @ L2 @ A @ T )
                  & ( part_of @ L2 @ Rho )
                  & ( permission @ L2 ) )
               => ( L2 = L ) ) )
      <=> ? [N: $i] :
            ( ( no_right @ N )
            & ( part_of @ N @ Rho )
            & ( cnt @ N @ A @ T )
            & ! [M: $i] :
                ( ( ( cnt @ M @ A @ T )
                  & ( part_of @ M @ Rho )
                  & ( no_right @ M ) )
               => ( M = N ) ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [L2: $i,L: $i,T: $i,A: $i,Rho: $i] :
      ( ( zip_tseitin_1 @ L2 @ L @ T @ A @ Rho )
    <=> ( ( zip_tseitin_0 @ L2 @ T @ A @ Rho )
       => ( L2 = L ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4 )
      | ( zip_tseitin_0 @ X0 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,axiom,
    ! [L: $i,T: $i,A: $i,Rho: $i] :
      ( ( zip_tseitin_2 @ L @ T @ A @ Rho )
    <=> ( ! [L2: $i] : ( zip_tseitin_1 @ L2 @ L @ T @ A @ Rho )
        & ( cnt @ L @ A @ T )
        & ( part_of @ L @ Rho )
        & ( permission @ L ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( permission @ X0 )
      | ~ ( part_of @ X0 @ X3 )
      | ~ ( cnt @ X0 @ X2 @ X1 )
      | ~ ( zip_tseitin_1 @ ( sk_ @ X3 @ X2 @ X1 @ X0 ) @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl216,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_0 @ ( sk_ @ X0 @ X1 @ X2 @ X3 ) @ X2 @ X1 @ X0 )
      | ~ ( cnt @ X3 @ X1 @ X2 )
      | ~ ( part_of @ X3 @ X0 )
      | ~ ( permission @ X3 )
      | ( zip_tseitin_2 @ X3 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl11]) ).

thf(zf_stmt_2,axiom,
    ! [L2: $i,T: $i,A: $i,Rho: $i] :
      ( ( zip_tseitin_0 @ L2 @ T @ A @ Rho )
    <=> ( ( permission @ L2 )
        & ( part_of @ L2 @ Rho )
        & ( cnt @ L2 @ A @ T ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cnt @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl222,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_2 @ X3 @ X2 @ X1 @ X0 )
      | ~ ( permission @ X3 )
      | ~ ( part_of @ X3 @ X0 )
      | ~ ( cnt @ X3 @ X1 @ X2 )
      | ( cnt @ ( sk_ @ X0 @ X1 @ X2 @ X3 ) @ X1 @ X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl216,zip_derived_cl2]) ).

thf(cnt_l,axiom,
    cnt @ l @ some_action @ some_target ).

thf(zip_derived_cl37,plain,
    cnt @ l @ some_action @ some_target,
    inference(cnf,[status(esa)],[cnt_l]) ).

thf(partof_l,axiom,
    part_of @ l @ rho1 ).

thf(zip_derived_cl34,plain,
    part_of @ l @ rho1,
    inference(cnf,[status(esa)],[partof_l]) ).

thf(zip_derived_cl216_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_0 @ ( sk_ @ X0 @ X1 @ X2 @ X3 ) @ X2 @ X1 @ X0 )
      | ~ ( cnt @ X3 @ X1 @ X2 )
      | ~ ( part_of @ X3 @ X0 )
      | ~ ( permission @ X3 )
      | ( zip_tseitin_2 @ X3 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl11]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( part_of @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_2 @ X3 @ X2 @ X1 @ X0 )
      | ~ ( permission @ X3 )
      | ~ ( part_of @ X3 @ X0 )
      | ~ ( cnt @ X3 @ X1 @ X2 )
      | ( part_of @ ( sk_ @ X0 @ X1 @ X2 @ X3 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl216,zip_derived_cl1]) ).

thf(perm_l_unique,axiom,
    ! [L2: $i] :
      ( ( ( permission @ L2 )
        & ( part_of @ L2 @ rho1 )
        & ( cnt @ L2 @ some_action @ some_target ) )
     => ( L2 = l ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( X0 = l )
      | ~ ( cnt @ X0 @ some_action @ some_target )
      | ~ ( part_of @ X0 @ rho1 )
      | ~ ( permission @ X0 ) ),
    inference(cnf,[status(esa)],[perm_l_unique]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cnt @ X0 @ X2 @ X1 )
      | ~ ( part_of @ X0 @ rho1 )
      | ~ ( permission @ X0 )
      | ( zip_tseitin_2 @ X0 @ X1 @ X2 @ rho1 )
      | ( ( sk_ @ rho1 @ X2 @ X1 @ X0 )
        = l )
      | ~ ( cnt @ ( sk_ @ rho1 @ X2 @ X1 @ X0 ) @ some_action @ some_target )
      | ~ ( permission @ ( sk_ @ rho1 @ X2 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl43]) ).

thf(zip_derived_cl216_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_0 @ ( sk_ @ X0 @ X1 @ X2 @ X3 ) @ X2 @ X1 @ X0 )
      | ~ ( cnt @ X3 @ X1 @ X2 )
      | ~ ( part_of @ X3 @ X0 )
      | ~ ( permission @ X3 )
      | ( zip_tseitin_2 @ X3 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl11]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( permission @ X0 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl220,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_2 @ X3 @ X2 @ X1 @ X0 )
      | ~ ( permission @ X3 )
      | ~ ( part_of @ X3 @ X0 )
      | ~ ( cnt @ X3 @ X1 @ X2 )
      | ( permission @ ( sk_ @ X0 @ X1 @ X2 @ X3 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl216,zip_derived_cl0]) ).

thf(zip_derived_cl289,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cnt @ ( sk_ @ rho1 @ X2 @ X1 @ X0 ) @ some_action @ some_target )
      | ( ( sk_ @ rho1 @ X2 @ X1 @ X0 )
        = l )
      | ( zip_tseitin_2 @ X0 @ X1 @ X2 @ rho1 )
      | ~ ( permission @ X0 )
      | ~ ( part_of @ X0 @ rho1 )
      | ~ ( cnt @ X0 @ X2 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl288,zip_derived_cl220]) ).

thf(zip_derived_cl290,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cnt @ ( sk_ @ rho1 @ X1 @ X0 @ l ) @ some_action @ some_target )
      | ( ( sk_ @ rho1 @ X1 @ X0 @ l )
        = l )
      | ( zip_tseitin_2 @ l @ X0 @ X1 @ rho1 )
      | ~ ( permission @ l )
      | ~ ( cnt @ l @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl289]) ).

thf(permission_l,axiom,
    permission @ l ).

thf(zip_derived_cl31,plain,
    permission @ l,
    inference(cnf,[status(esa)],[permission_l]) ).

thf(zip_derived_cl294,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cnt @ ( sk_ @ rho1 @ X1 @ X0 @ l ) @ some_action @ some_target )
      | ( ( sk_ @ rho1 @ X1 @ X0 @ l )
        = l )
      | ( zip_tseitin_2 @ l @ X0 @ X1 @ rho1 )
      | ~ ( cnt @ l @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl31]) ).

thf(zip_derived_cl295,plain,
    ( ~ ( cnt @ ( sk_ @ rho1 @ some_action @ some_target @ l ) @ some_action @ some_target )
    | ( ( sk_ @ rho1 @ some_action @ some_target @ l )
      = l )
    | ( zip_tseitin_2 @ l @ some_target @ some_action @ rho1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl294]) ).

thf(zip_derived_cl296,plain,
    ( ~ ( cnt @ l @ some_action @ some_target )
    | ~ ( part_of @ l @ rho1 )
    | ~ ( permission @ l )
    | ( zip_tseitin_2 @ l @ some_target @ some_action @ rho1 )
    | ( ( sk_ @ rho1 @ some_action @ some_target @ l )
      = l )
    | ( zip_tseitin_2 @ l @ some_target @ some_action @ rho1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl295]) ).

thf(zip_derived_cl37_003,plain,
    cnt @ l @ some_action @ some_target,
    inference(cnf,[status(esa)],[cnt_l]) ).

thf(zip_derived_cl34_004,plain,
    part_of @ l @ rho1,
    inference(cnf,[status(esa)],[partof_l]) ).

thf(zip_derived_cl31_005,plain,
    permission @ l,
    inference(cnf,[status(esa)],[permission_l]) ).

thf(zip_derived_cl297,plain,
    ( ( zip_tseitin_2 @ l @ some_target @ some_action @ rho1 )
    | ( ( sk_ @ rho1 @ some_action @ some_target @ l )
      = l )
    | ( zip_tseitin_2 @ l @ some_target @ some_action @ rho1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl37,zip_derived_cl34,zip_derived_cl31]) ).

thf(zip_derived_cl298,plain,
    ( ( ( sk_ @ rho1 @ some_action @ some_target @ l )
      = l )
    | ( zip_tseitin_2 @ l @ some_target @ some_action @ rho1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl297]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( permission @ X0 )
      | ~ ( part_of @ X0 @ X3 )
      | ~ ( cnt @ X0 @ X2 @ X1 )
      | ~ ( zip_tseitin_1 @ ( sk_ @ X3 @ X2 @ X1 @ X0 ) @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl215,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sk_ @ X0 @ X1 @ X2 @ X3 )
       != X3 )
      | ~ ( cnt @ X3 @ X1 @ X2 )
      | ~ ( part_of @ X3 @ X0 )
      | ~ ( permission @ X3 )
      | ( zip_tseitin_2 @ X3 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl11]) ).

thf(zip_derived_cl299,plain,
    ( ( zip_tseitin_2 @ l @ some_target @ some_action @ rho1 )
    | ( l != l )
    | ~ ( cnt @ l @ some_action @ some_target )
    | ~ ( part_of @ l @ rho1 )
    | ~ ( permission @ l )
    | ( zip_tseitin_2 @ l @ some_target @ some_action @ rho1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl215]) ).

thf(zip_derived_cl37_007,plain,
    cnt @ l @ some_action @ some_target,
    inference(cnf,[status(esa)],[cnt_l]) ).

thf(zip_derived_cl34_008,plain,
    part_of @ l @ rho1,
    inference(cnf,[status(esa)],[partof_l]) ).

thf(zip_derived_cl31_009,plain,
    permission @ l,
    inference(cnf,[status(esa)],[permission_l]) ).

thf(zip_derived_cl303,plain,
    ( ( zip_tseitin_2 @ l @ some_target @ some_action @ rho1 )
    | ( l != l )
    | ( zip_tseitin_2 @ l @ some_target @ some_action @ rho1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl299,zip_derived_cl37,zip_derived_cl34,zip_derived_cl31]) ).

thf(zip_derived_cl304,plain,
    zip_tseitin_2 @ l @ some_target @ some_action @ rho1,
    inference(simplify,[status(thm)],[zip_derived_cl303]) ).

thf(odrl_rho1,axiom,
    odrl_rel @ rho1 ).

thf(zip_derived_cl30,plain,
    odrl_rel @ rho1,
    inference(cnf,[status(esa)],[odrl_rho1]) ).

thf(zf_stmt_3,type,
    zip_tseitin_5: $i > $i > $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [N: $i,T: $i,A: $i,Rho: $i] :
      ( ( zip_tseitin_5 @ N @ T @ A @ Rho )
    <=> ( ! [M: $i] : ( zip_tseitin_4 @ M @ N @ T @ A @ Rho )
        & ( cnt @ N @ A @ T )
        & ( part_of @ N @ Rho )
        & ( no_right @ N ) ) ) ).

thf(zf_stmt_5,type,
    zip_tseitin_4: $i > $i > $i > $i > $i > $o ).

thf(zf_stmt_6,axiom,
    ! [M: $i,N: $i,T: $i,A: $i,Rho: $i] :
      ( ( zip_tseitin_4 @ M @ N @ T @ A @ Rho )
    <=> ( ( zip_tseitin_3 @ M @ T @ A @ Rho )
       => ( M = N ) ) ) ).

thf(zf_stmt_7,type,
    zip_tseitin_3: $i > $i > $i > $i > $o ).

thf(zf_stmt_8,axiom,
    ! [M: $i,T: $i,A: $i,Rho: $i] :
      ( ( zip_tseitin_3 @ M @ T @ A @ Rho )
    <=> ( ( no_right @ M )
        & ( part_of @ M @ Rho )
        & ( cnt @ M @ A @ T ) ) ) ).

thf(zf_stmt_9,type,
    zip_tseitin_2: $i > $i > $i > $i > $o ).

thf(zf_stmt_10,type,
    zip_tseitin_1: $i > $i > $i > $i > $i > $o ).

thf(zf_stmt_11,type,
    zip_tseitin_0: $i > $i > $i > $i > $o ).

thf(zf_stmt_12,axiom,
    ! [Rho: $i,A: $i,T: $i] :
      ( ( odrl_rel @ Rho )
     => ( ? [L: $i] : ( zip_tseitin_2 @ L @ T @ A @ Rho )
      <=> ? [N: $i] : ( zip_tseitin_5 @ N @ T @ A @ Rho ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( odrl_rel @ X0 )
      | ( zip_tseitin_5 @ ( sk__3 @ X1 @ X2 @ X0 ) @ X1 @ X2 @ X0 )
      | ~ ( zip_tseitin_2 @ X3 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl213,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 @ rho1 )
      | ( zip_tseitin_5 @ ( sk__3 @ X1 @ X0 @ rho1 ) @ X1 @ X0 @ rho1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl25]) ).

thf(zip_derived_cl315,plain,
    zip_tseitin_5 @ ( sk__3 @ some_target @ some_action @ rho1 ) @ some_target @ some_action @ rho1,
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl213]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cnt @ X0 @ X2 @ X1 )
      | ~ ( part_of @ X0 @ X3 )
      | ~ ( no_right @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 @ X4 )
      | ~ ( zip_tseitin_5 @ X1 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
      | ( X0 = X4 )
      | ~ ( zip_tseitin_4 @ X0 @ X4 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl217,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( zip_tseitin_5 @ X3 @ X2 @ X1 @ X0 )
      | ( X4 = X3 )
      | ~ ( zip_tseitin_3 @ X4 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl16]) ).

thf(zip_derived_cl227,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( no_right @ X3 )
      | ~ ( part_of @ X3 @ X0 )
      | ~ ( cnt @ X3 @ X1 @ X2 )
      | ( X3 = X4 )
      | ~ ( zip_tseitin_5 @ X4 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl217]) ).

thf(zip_derived_cl321,plain,
    ! [X0: $i] :
      ( ~ ( no_right @ X0 )
      | ~ ( part_of @ X0 @ rho1 )
      | ~ ( cnt @ X0 @ some_action @ some_target )
      | ( X0
        = ( sk__3 @ some_target @ some_action @ rho1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl227]) ).

thf(zip_derived_cl345,plain,
    ( ~ ( no_right @ n2 )
    | ~ ( cnt @ n2 @ some_action @ some_target )
    | ( n2
      = ( sk__3 @ some_target @ some_action @ rho1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl321]) ).

thf(no_right_n2,axiom,
    no_right @ n2 ).

thf(zip_derived_cl33,plain,
    no_right @ n2,
    inference(cnf,[status(esa)],[no_right_n2]) ).

thf(cnt_n2,axiom,
    cnt @ n2 @ some_action @ some_target ).

thf(zip_derived_cl39,plain,
    cnt @ n2 @ some_action @ some_target,
    inference(cnf,[status(esa)],[cnt_n2]) ).

thf(zip_derived_cl352,plain,
    ( n2
    = ( sk__3 @ some_target @ some_action @ rho1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl33,zip_derived_cl39]) ).

thf(partof_n1,axiom,
    part_of @ n1 @ rho1 ).

thf(zip_derived_cl35,plain,
    part_of @ n1 @ rho1,
    inference(cnf,[status(esa)],[partof_n1]) ).

thf(zip_derived_cl321_010,plain,
    ! [X0: $i] :
      ( ~ ( no_right @ X0 )
      | ~ ( part_of @ X0 @ rho1 )
      | ~ ( cnt @ X0 @ some_action @ some_target )
      | ( X0
        = ( sk__3 @ some_target @ some_action @ rho1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl227]) ).

thf(zip_derived_cl344,plain,
    ( ~ ( no_right @ n1 )
    | ~ ( cnt @ n1 @ some_action @ some_target )
    | ( n1
      = ( sk__3 @ some_target @ some_action @ rho1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl321]) ).

thf(no_right_n1,axiom,
    no_right @ n1 ).

thf(zip_derived_cl32,plain,
    no_right @ n1,
    inference(cnf,[status(esa)],[no_right_n1]) ).

thf(cnt_n1,axiom,
    cnt @ n1 @ some_action @ some_target ).

thf(zip_derived_cl38,plain,
    cnt @ n1 @ some_action @ some_target,
    inference(cnf,[status(esa)],[cnt_n1]) ).

thf(zip_derived_cl351,plain,
    ( n1
    = ( sk__3 @ some_target @ some_action @ rho1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl32,zip_derived_cl38]) ).

thf(zip_derived_cl375,plain,
    n2 = n1,
    inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl351]) ).

thf(n1_neq_n2,axiom,
    n1 != n2 ).

thf(zip_derived_cl42,plain,
    n1 != n2,
    inference(cnf,[status(esa)],[n1_neq_n2]) ).

thf(zip_derived_cl376,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl375,zip_derived_cl42]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT114+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rw9kv6cwZa true
% 0.12/0.38  % Computer : n027.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep  7 14:11:00 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  % Running portfolio for 300 s
% 0.12/0.38  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  % Number of cores: 8
% 0.12/0.39  % Python version: Python 3.12.3
% 0.12/0.39  % Running in FO mode
% 0.44/0.66  % Total configuration time : 435
% 0.44/0.66  % Estimated wc time : 1092
% 0.44/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.80  % Solved by fo/fo6_bce.sh.
% 0.46/0.80  % BCE start: 44
% 0.46/0.80  % BCE eliminated: 6
% 0.46/0.80  % PE start: 38
% 0.46/0.80  logic: eq
% 0.46/0.80  % PE eliminated: 9
% 0.46/0.80  % done 58 iterations in 0.042s
% 0.46/0.80  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.46/0.80  % SZS output start Refutation
% See solution above
% 0.46/0.80  
% 0.46/0.80  
% 0.48/0.80  % Terminating...
% 0.48/0.84  % Runner terminated.
% 0.48/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------