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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL464+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RiDK32xHDh true

% Computer : n001.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 : Mon Sep  7 01:36:02 PM UTC 2026

% Result   : Theorem 83.56s 12.55s
% Output   : Refutation 83.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  144 (  76 unt;   0 typ;   0 def)
%            Number of atoms       :  233 (  29 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives : 1154 (  83   ~;  80   |;   1   &; 982   @)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :  301 (   0   ^; 301   !;   0   ?; 301   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cn2_type,type,
    cn2: $o ).

thf(op_or_type,type,
    op_or: $o ).

thf(and_type,type,
    and: $i > $i > $i ).

thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(op_implies_and_type,type,
    op_implies_and: $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(cn1_type,type,
    cn1: $o ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(or_type,type,
    or: $i > $i > $i ).

thf(cn3_type,type,
    cn3: $o ).

thf(modus_ponens_type,type,
    modus_ponens: $o ).

thf(implies_type,type,
    implies: $i > $i > $i ).

thf(implies_2_type,type,
    implies_2: $o ).

thf(not_type,type,
    not: $i > $i ).

thf(implies_2,axiom,
    ( implies_2
  <=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( implies @ X @ ( implies @ X @ Y ) ) @ ( implies @ X @ Y ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ( implies_2
    | ~ ( is_a_theorem @ ( implies @ ( implies @ sk__8 @ ( implies @ sk__8 @ sk__9 ) ) @ ( implies @ sk__8 @ sk__9 ) ) ) ),
    inference(cnf,[status(esa)],[implies_2]) ).

thf(hilbert_implies_2,conjecture,
    implies_2 ).

thf(zf_stmt_0,negated_conjecture,
    ~ implies_2,
    inference('cnf.neg',[status(esa)],[hilbert_implies_2]) ).

thf(zip_derived_cl71,plain,
    ~ implies_2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl349,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ sk__8 @ ( implies @ sk__8 @ sk__9 ) ) @ ( implies @ sk__8 @ sk__9 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl71]) ).

thf(luka_op_or,axiom,
    op_or ).

thf(zip_derived_cl60,plain,
    op_or,
    inference(cnf,[status(esa)],[luka_op_or]) ).

thf(op_or,axiom,
    ( op_or
   => ! [X: $i,Y: $i] :
        ( ( or @ X @ Y )
        = ( not @ ( and @ ( not @ X ) @ ( not @ Y ) ) ) ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( or @ X0 @ X1 )
        = ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) )
      | ~ op_or ),
    inference(cnf,[status(esa)],[op_or]) ).

thf(zip_derived_cl343,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).

thf(hilbert_op_implies_and,axiom,
    op_implies_and ).

thf(zip_derived_cl69,plain,
    op_implies_and,
    inference(cnf,[status(esa)],[hilbert_op_implies_and]) ).

thf(op_implies_and,axiom,
    ( op_implies_and
   => ! [X: $i,Y: $i] :
        ( ( implies @ X @ Y )
        = ( not @ ( and @ X @ ( not @ Y ) ) ) ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( implies @ X0 @ X1 )
        = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) )
      | ~ op_implies_and ),
    inference(cnf,[status(esa)],[op_implies_and]) ).

thf(zip_derived_cl322,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl57]) ).

thf(zip_derived_cl367,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(luka_cn2,axiom,
    cn2 ).

thf(zip_derived_cl65,plain,
    cn2,
    inference(cnf,[status(esa)],[luka_cn2]) ).

thf(cn2,axiom,
    ( cn2
  <=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ P @ ( implies @ ( not @ P ) @ Q ) ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ X1 ) ) )
      | ~ cn2 ),
    inference(cnf,[status(esa)],[cn2]) ).

thf(zip_derived_cl346,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl41]) ).

thf(zip_derived_cl367_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl382,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl367]) ).

thf(zip_derived_cl395,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( or @ ( not @ X1 ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl382]) ).

thf(luka_cn3,axiom,
    cn3 ).

thf(zip_derived_cl66,plain,
    cn3,
    inference(cnf,[status(esa)],[luka_cn3]) ).

thf(cn3,axiom,
    ( cn3
  <=> ! [P: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ P ) @ P ) @ P ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) )
      | ~ cn3 ),
    inference(cnf,[status(esa)],[cn3]) ).

thf(zip_derived_cl345,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl43]) ).

thf(zip_derived_cl367_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl381,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl367]) ).

thf(zip_derived_cl382_003,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl367]) ).

thf(luka_cn1,axiom,
    cn1 ).

thf(zip_derived_cl64,plain,
    cn1,
    inference(cnf,[status(esa)],[luka_cn1]) ).

thf(cn1,axiom,
    ( cn1
  <=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( implies @ P @ Q ) @ ( implies @ ( implies @ Q @ R ) @ ( implies @ P @ R ) ) ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X0 @ X2 ) ) ) )
      | ~ cn1 ),
    inference(cnf,[status(esa)],[cn1]) ).

thf(zip_derived_cl347,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl39]) ).

thf(luka_modus_ponens,axiom,
    modus_ponens ).

thf(zip_derived_cl63,plain,
    modus_ponens,
    inference(cnf,[status(esa)],[luka_modus_ponens]) ).

thf(modus_ponens,axiom,
    ( modus_ponens
  <=> ! [X: $i,Y: $i] :
        ( ( ( is_a_theorem @ X )
          & ( is_a_theorem @ ( implies @ X @ Y ) ) )
       => ( is_a_theorem @ Y ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ X1 )
      | ~ modus_ponens ),
    inference(cnf,[status(esa)],[modus_ponens]) ).

thf(zip_derived_cl351,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).

thf(zip_derived_cl437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl351]) ).

thf(zip_derived_cl351_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).

thf(zip_derived_cl444,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl351]) ).

thf(zip_derived_cl451,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl444]) ).

thf(zip_derived_cl462,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl451]) ).

thf(zip_derived_cl322_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl57]) ).

thf(zip_derived_cl367_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl351_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).

thf(zip_derived_cl384,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( not @ X1 ) )
      | ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl351]) ).

thf(zip_derived_cl388,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 ) )
      | ( is_a_theorem @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl384]) ).

thf(zip_derived_cl464,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ ( and @ X0 @ ( not @ X0 ) ) @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl388]) ).

thf(zip_derived_cl481,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( not @ ( and @ X1 @ ( not @ X1 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl464]) ).

thf(zip_derived_cl322_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl57]) ).

thf(zip_derived_cl485,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( implies @ X1 @ X1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl481,zip_derived_cl322]) ).

thf(zip_derived_cl367_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl382_010,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl367]) ).

thf(zip_derived_cl351_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).

thf(zip_derived_cl394,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl351]) ).

thf(zip_derived_cl367_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl437_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl351]) ).

thf(zip_derived_cl446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( or @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl437]) ).

thf(zip_derived_cl367_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl448,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( or @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl367]) ).

thf(zip_derived_cl437_015,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl351]) ).

thf(zip_derived_cl381_016,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl367]) ).

thf(zip_derived_cl388_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 ) )
      | ( is_a_theorem @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl384]) ).

thf(zip_derived_cl415,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ ( and @ ( or @ X0 @ X0 ) @ ( not @ X0 ) ) @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl388]) ).

thf(zip_derived_cl322_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl57]) ).

thf(zip_derived_cl343_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).

thf(zip_derived_cl370,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
      = ( not @ ( and @ ( implies @ X1 @ X0 ) @ ( not @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl322,zip_derived_cl343]) ).

thf(zip_derived_cl322_020,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl57]) ).

thf(zip_derived_cl372,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
      = ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl322]) ).

thf(zip_derived_cl724,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl415,zip_derived_cl372]) ).

thf(zip_derived_cl869,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ ( or @ X0 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl724]) ).

thf(zip_derived_cl1355,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl869]) ).

thf(zip_derived_cl1490,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl1355]) ).

thf(zip_derived_cl1769,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl1490]) ).

thf(zip_derived_cl451_021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl444]) ).

thf(zip_derived_cl1831,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1769,zip_derived_cl451]) ).

thf(zip_derived_cl869_022,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ ( or @ X0 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl724]) ).

thf(zip_derived_cl1911,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X0 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1831,zip_derived_cl869]) ).

thf(zip_derived_cl2094,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ X0 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl1911]) ).

thf(zip_derived_cl395_023,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( or @ ( not @ X1 ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl382]) ).

thf(zip_derived_cl367_024,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl444_025,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl351]) ).

thf(zip_derived_cl457,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl444]) ).

thf(zip_derived_cl367_026,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl460,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
      | ( is_a_theorem @ ( or @ X1 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl457,zip_derived_cl367]) ).

thf(zip_derived_cl526,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( or @ ( not @ X1 ) @ X0 ) @ X2 ) )
      | ( is_a_theorem @ ( or @ X1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl460]) ).

thf(zip_derived_cl2258,plain,
    ! [X0: $i,X2: $i] : ( is_a_theorem @ ( or @ X2 @ ( implies @ X0 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2094,zip_derived_cl526]) ).

thf(zip_derived_cl1355_027,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl869]) ).

thf(zip_derived_cl2593,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X0 @ X0 ) @ X1 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2258,zip_derived_cl1355]) ).

thf(zip_derived_cl395_028,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( or @ ( not @ X1 ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl382]) ).

thf(zip_derived_cl415_029,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ ( and @ ( or @ X0 @ X0 ) @ ( not @ X0 ) ) @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl388]) ).

thf(zip_derived_cl422,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( not @ ( and @ ( or @ X1 @ X1 ) @ ( not @ X1 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl415]) ).

thf(zip_derived_cl322_030,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl57]) ).

thf(zip_derived_cl425,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( implies @ ( or @ X1 @ X1 ) @ X1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl322]) ).

thf(zip_derived_cl1911_031,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X0 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1831,zip_derived_cl869]) ).

thf(zip_derived_cl2093,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl1911]) ).

thf(zip_derived_cl437_032,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl351]) ).

thf(zip_derived_cl347_033,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl39]) ).

thf(zip_derived_cl444_034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl351]) ).

thf(zip_derived_cl452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl444]) ).

thf(zip_derived_cl511,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X3 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl452]) ).

thf(zip_derived_cl444_035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl351]) ).

thf(zip_derived_cl1075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X3 @ X0 ) ) )
      | ~ ( is_a_theorem @ ( implies @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) @ X4 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ X4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl444]) ).

thf(zip_derived_cl3447,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( implies @ X3 @ X0 ) ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X3 @ ( or @ X0 @ X0 ) ) @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2093,zip_derived_cl1075]) ).

thf(zip_derived_cl9161,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( or @ X0 @ X0 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2593,zip_derived_cl3447]) ).

thf(zip_derived_cl367_036,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl367_037,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl347_038,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl39]) ).

thf(zip_derived_cl440,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( implies @ ( or @ X1 @ X0 ) @ ( implies @ X2 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl347]) ).

thf(zip_derived_cl511_039,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X3 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl452]) ).

thf(zip_derived_cl382_040,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl367]) ).

thf(zip_derived_cl388_041,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 ) )
      | ( is_a_theorem @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl384]) ).

thf(zip_derived_cl412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( or @ ( and @ X1 @ ( not @ ( or @ X1 @ X0 ) ) ) @ X2 ) )
      | ( is_a_theorem @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl388]) ).

thf(zip_derived_cl372_042,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
      = ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl322]) ).

thf(zip_derived_cl723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( or @ X1 @ X0 ) ) @ X2 ) )
      | ( is_a_theorem @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl412,zip_derived_cl372]) ).

thf(zip_derived_cl1079,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ ( or @ X1 @ X3 ) @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl723]) ).

thf(zip_derived_cl1183,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( not @ X2 ) ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl1079]) ).

thf(zip_derived_cl444_043,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl351]) ).

thf(zip_derived_cl1373,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( not @ X2 ) ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl444]) ).

thf(zip_derived_cl1404,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X3 @ ( or @ X1 @ X0 ) ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ ( not @ X1 ) @ ( not @ X3 ) ) @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl1373]) ).

thf(zip_derived_cl367_044,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl1406,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X3 @ ( or @ X1 @ X0 ) ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( or @ X1 @ ( not @ X3 ) ) @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1404,zip_derived_cl367]) ).

thf(zip_derived_cl36946,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9161,zip_derived_cl1406]) ).

thf(zip_derived_cl367_045,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl36946_046,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9161,zip_derived_cl1406]) ).

thf(zip_derived_cl451_047,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl444]) ).

thf(zip_derived_cl38973,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36946,zip_derived_cl451]) ).

thf(zip_derived_cl39190,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl38973]) ).

thf(zip_derived_cl444_048,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl351]) ).

thf(zip_derived_cl39270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( or @ X1 @ X0 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ X0 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39190,zip_derived_cl444]) ).

thf(zip_derived_cl41553,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ X1 ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36946,zip_derived_cl39270]) ).

thf(zip_derived_cl367_049,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl322]) ).

thf(zip_derived_cl41583,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl41553,zip_derived_cl367]) ).

thf(zip_derived_cl1355_050,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl869]) ).

thf(zip_derived_cl41929,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X1 @ X0 ) @ X1 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41583,zip_derived_cl1355]) ).

thf(zip_derived_cl452_051,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl444]) ).

thf(zip_derived_cl60116,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( implies @ X1 @ X0 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41929,zip_derived_cl452]) ).

thf(zip_derived_cl60201,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl60116]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL464+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RiDK32xHDh true
% 0.11/0.37  % Computer : n001.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sat Sep  5 11:18:01 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  % Running portfolio for 300 s
% 0.11/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38  % Number of cores: 8
% 0.11/0.38  % Python version: Python 3.12.3
% 0.11/0.38  % Running in FO mode
% 0.34/0.60  % Total configuration time : 435
% 0.34/0.60  % Estimated wc time : 1092
% 0.34/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.42/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 83.56/12.55  % Solved by fo/fo6_bce.sh.
% 83.56/12.55  % BCE start: 72
% 83.56/12.55  % BCE eliminated: 3
% 83.56/12.55  % PE start: 69
% 83.56/12.55  logic: eq
% 83.56/12.55  % PE eliminated: 39
% 83.56/12.55  % done 3277 iterations in 11.850s
% 83.56/12.55  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 83.56/12.55  % SZS output start Refutation
% See solution above
% 83.56/12.56  
% 83.56/12.56  
% 83.56/12.56  % Terminating...
% 13.17/12.61  % Runner terminated.
% 13.17/12.63  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------