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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL485+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YFF9s7RNbV true

% Computer : n012.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 01:36:03 PM UTC 2026

% Result   : Theorem 115.16s 17.00s
% Output   : Refutation 115.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   88 (  53 unt;   0 typ;   0 def)
%            Number of atoms       :  135 (  16 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  589 (  38   ~;  35   |;   1   &; 504   @)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;  13 con; 0-2 aty)
%            Number of variables   :  147 (   0   ^; 147   !;   0   ?; 147   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__9_type,type,
    sk__9: $i ).

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(r2_type,type,
    r2: $o ).

thf(r1_type,type,
    r1: $o ).

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

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

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

thf(op_implies_or_type,type,
    op_implies_or: $o ).

thf(r3_type,type,
    r3: $o ).

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

thf(r5_type,type,
    r5: $o ).

thf(r4_type,type,
    r4: $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_cl73,plain,
    ~ implies_2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,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_cl73]) ).

thf(principia_r2,axiom,
    r2 ).

thf(zip_derived_cl65,plain,
    r2,
    inference(cnf,[status(esa)],[principia_r2]) ).

thf(r2,axiom,
    ( r2
  <=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) )
      | ~ r2 ),
    inference(cnf,[status(esa)],[r2]) ).

thf(zip_derived_cl358,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl47]) ).

thf(principia_op_implies_or,axiom,
    op_implies_or ).

thf(zip_derived_cl60,plain,
    op_implies_or,
    inference(cnf,[status(esa)],[principia_op_implies_or]) ).

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

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( implies @ X0 @ X1 )
        = ( or @ ( not @ X0 ) @ X1 ) )
      | ~ op_implies_or ),
    inference(cnf,[status(esa)],[op_implies_or]) ).

thf(zip_derived_cl337,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(principia_r3,axiom,
    r3 ).

thf(zip_derived_cl66,plain,
    r3,
    inference(cnf,[status(esa)],[principia_r3]) ).

thf(r3,axiom,
    ( r3
  <=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ Q ) @ ( or @ Q @ P ) ) ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) )
      | ~ r3 ),
    inference(cnf,[status(esa)],[r3]) ).

thf(zip_derived_cl359,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).

thf(zip_derived_cl408,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl337,zip_derived_cl359]) ).

thf(zip_derived_cl337_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(principia_r5,axiom,
    r5 ).

thf(zip_derived_cl68,plain,
    r5,
    inference(cnf,[status(esa)],[principia_r5]) ).

thf(r5,axiom,
    ( r5
  <=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( implies @ Q @ R ) @ ( implies @ ( or @ P @ Q ) @ ( or @ P @ R ) ) ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( or @ X2 @ X0 ) @ ( or @ X2 @ X1 ) ) ) )
      | ~ r5 ),
    inference(cnf,[status(esa)],[r5]) ).

thf(zip_derived_cl361,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( or @ X1 @ X2 ) @ ( or @ X1 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl53]) ).

thf(zip_derived_cl511,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( or @ ( not @ X1 ) @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl337,zip_derived_cl361]) ).

thf(zip_derived_cl337_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(zip_derived_cl514,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl511,zip_derived_cl337]) ).

thf(principia_modus_ponens,axiom,
    modus_ponens ).

thf(zip_derived_cl63,plain,
    modus_ponens,
    inference(cnf,[status(esa)],[principia_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_cl365,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_cl639,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl365]) ).

thf(zip_derived_cl365_003,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_cl658,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl365]) ).

thf(zip_derived_cl1927,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( or @ X0 @ ( not @ X1 ) ) ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl658]) ).

thf(zip_derived_cl41252,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( not @ X0 ) @ ( implies @ X0 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl1927]) ).

thf(hilbert_op_implies_and,axiom,
    op_implies_and ).

thf(zip_derived_cl71,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_cl336,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl57]) ).

thf(hilbert_op_or,axiom,
    op_or ).

thf(zip_derived_cl70,plain,
    op_or,
    inference(cnf,[status(esa)],[hilbert_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_cl334,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl55]) ).

thf(zip_derived_cl393,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl336,zip_derived_cl334]) ).

thf(zip_derived_cl41311,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( implies @ X0 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl41252,zip_derived_cl393]) ).

thf(zip_derived_cl359_004,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( or @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).

thf(zip_derived_cl365_005,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_cl407,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X0 @ X1 ) )
      | ( is_a_theorem @ ( or @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl365]) ).

thf(zip_derived_cl41398,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( implies @ X1 @ X0 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41311,zip_derived_cl407]) ).

thf(zip_derived_cl361_006,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( or @ X1 @ X2 ) @ ( or @ X1 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl53]) ).

thf(principia_r1,axiom,
    r1 ).

thf(zip_derived_cl64,plain,
    r1,
    inference(cnf,[status(esa)],[principia_r1]) ).

thf(r1,axiom,
    ( r1
  <=> ! [P: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ P ) @ P ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) )
      | ~ r1 ),
    inference(cnf,[status(esa)],[r1]) ).

thf(zip_derived_cl357,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl45]) ).

thf(zip_derived_cl639_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl365]) ).

thf(zip_derived_cl658_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl365]) ).

thf(zip_derived_cl1915,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ~ ( is_a_theorem @ ( implies @ X3 @ ( implies @ X1 @ X2 ) ) )
      | ( is_a_theorem @ ( implies @ X3 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl658]) ).

thf(zip_derived_cl1985,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ ( or @ X0 @ X0 ) ) ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl1915]) ).

thf(zip_derived_cl2394,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( implies @ ( or @ X0 @ X1 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl1985]) ).

thf(zip_derived_cl337_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(zip_derived_cl337_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(principia_r4,axiom,
    r4 ).

thf(zip_derived_cl67,plain,
    r4,
    inference(cnf,[status(esa)],[principia_r4]) ).

thf(r4,axiom,
    ( r4
  <=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( or @ P @ ( or @ Q @ R ) ) @ ( or @ Q @ ( or @ P @ R ) ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( is_a_theorem @ ( implies @ ( or @ X0 @ ( or @ X1 @ X2 ) ) @ ( or @ X1 @ ( or @ X0 @ X2 ) ) ) )
      | ~ r4 ),
    inference(cnf,[status(esa)],[r4]) ).

thf(zip_derived_cl360,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X1 @ ( or @ X2 @ X0 ) ) @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl51]) ).

thf(zip_derived_cl483,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X1 @ ( or @ ( not @ X2 ) @ X0 ) ) @ ( implies @ X2 @ ( or @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl337,zip_derived_cl360]) ).

thf(zip_derived_cl337_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(zip_derived_cl487,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X1 @ ( implies @ X2 @ X0 ) ) @ ( implies @ X2 @ ( or @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl483,zip_derived_cl337]) ).

thf(zip_derived_cl2836,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ ( not @ X1 ) @ ( implies @ X2 @ X0 ) ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl337,zip_derived_cl487]) ).

thf(zip_derived_cl337_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(zip_derived_cl2854,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( implies @ X2 @ X0 ) ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2836,zip_derived_cl337]) ).

thf(zip_derived_cl365_013,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_cl2867,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ X2 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2854,zip_derived_cl365]) ).

thf(zip_derived_cl3020,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X1 ) @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2394,zip_derived_cl2867]) ).

thf(zip_derived_cl365_014,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_cl77169,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_cl3020,zip_derived_cl365]) ).

thf(zip_derived_cl87698,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( implies @ X0 @ X1 ) ) @ ( implies @ X0 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41398,zip_derived_cl77169]) ).

thf(zip_derived_cl87745,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl87698]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : LCL485+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.02  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YFF9s7RNbV true
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Sat Sep  5 19:24:42 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.03/0.30  % Running portfolio for 300 s
% 0.03/0.30  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30  % Number of cores: 8
% 0.03/0.31  % Python version: Python 3.12.3
% 0.03/0.31  % Running in FO mode
% 0.09/0.44  % Total configuration time : 435
% 0.09/0.44  % Estimated wc time : 1092
% 0.09/0.44  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.52  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.52  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.52  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.52  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.52  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.52  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.52  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.54  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 115.16/17.00  % Solved by fo/fo6_bce.sh.
% 115.16/17.00  % BCE start: 74
% 115.16/17.00  % BCE eliminated: 0
% 115.16/17.00  % PE start: 74
% 115.16/17.00  logic: eq
% 115.16/17.00  % PE eliminated: 42
% 115.16/17.00  % done 4924 iterations in 16.447s
% 115.16/17.00  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 115.16/17.00  % SZS output start Refutation
% See solution above
% 115.16/17.00  
% 115.16/17.00  
% 115.16/17.00  % Terminating...
% 115.91/17.03  % Runner terminated.
% 115.91/17.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------