TSTP Solution File: LCL517+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL517+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ds5iZRAi98 true

% Computer : n031.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 Aug 31 09:00:02 EDT 2023

% Result   : Theorem 33.72s 5.46s
% Output   : Refutation 33.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  129 (  75 unt;  13 typ;   0 def)
%            Number of atoms       :  170 (  31 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  800 (  49   ~;  45   |;   1   &; 697   @)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :  197 (   0   ^; 197   !;   0   ?; 197   :)

% Comments : 
%------------------------------------------------------------------------------
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(sk__43_type,type,
    sk__43: $i ).

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

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

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

thf(kn2_type,type,
    kn2: $o ).

thf(kn1_type,type,
    kn1: $o ).

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

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

thf(kn3_type,type,
    kn3: $o ).

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

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

thf(zip_derived_cl44,plain,
    ( cn3
    | ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__43 ) @ sk__43 ) @ sk__43 ) ) ),
    inference(cnf,[status(esa)],[cn3]) ).

thf(luka_cn3,conjecture,
    cn3 ).

thf(zf_stmt_0,negated_conjecture,
    ~ cn3,
    inference('cnf.neg',[status(esa)],[luka_cn3]) ).

thf(zip_derived_cl71,plain,
    ~ cn3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__43 ) @ sk__43 ) @ sk__43 ) ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl71]) ).

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(rosser_op_or,axiom,
    op_or ).

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

thf(zip_derived_cl104,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X0 @ X1 )
      = ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl60]) ).

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(rosser_op_implies_and,axiom,
    op_implies_and ).

thf(zip_derived_cl61,plain,
    op_implies_and,
    inference(cnf,[status(esa)],[rosser_op_implies_and]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X0 @ X1 )
      = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).

thf(zip_derived_cl129,plain,
    ~ ( is_a_theorem @ ( implies @ ( or @ sk__43 @ sk__43 ) @ sk__43 ) ),
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl109]) ).

thf(zip_derived_cl104_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X0 @ X1 )
      = ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl60]) ).

thf(zip_derived_cl88_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X0 @ X1 )
      = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( implies @ X2 @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) )
      = ( not @ ( and @ X2 @ ( or @ X1 @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).

thf(kn1,axiom,
    ( kn1
  <=> ! [P: $i] : ( is_a_theorem @ ( implies @ P @ ( and @ P @ P ) ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) )
      | ~ kn1 ),
    inference(cnf,[status(esa)],[kn1]) ).

thf(rosser_kn1,axiom,
    kn1 ).

thf(zip_derived_cl64,plain,
    kn1,
    inference(cnf,[status(esa)],[rosser_kn1]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl64]) ).

thf(zip_derived_cl333,plain,
    ! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ ( or @ X0 @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl82]) ).

thf(zip_derived_cl109_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).

thf(zip_derived_cl88_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X0 @ X1 )
      = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).

thf(zip_derived_cl104_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X0 @ X1 )
      = ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl60]) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
      = ( not @ ( and @ ( implies @ X1 @ X0 ) @ ( not @ X2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl104]) ).

thf(zip_derived_cl88_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X0 @ X1 )
      = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
      = ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl88]) ).

thf(zip_derived_cl88_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X0 @ X1 )
      = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).

thf(kn2,axiom,
    ( kn2
  <=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ ( and @ P @ Q ) @ P ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) )
      | ~ kn2 ),
    inference(cnf,[status(esa)],[kn2]) ).

thf(rosser_kn2,axiom,
    kn2 ).

thf(zip_derived_cl65,plain,
    kn2,
    inference(cnf,[status(esa)],[rosser_kn2]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl65]) ).

thf(zip_derived_cl121_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
      = ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl88]) ).

thf(zip_derived_cl104_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X0 @ X1 )
      = ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl60]) ).

thf(zip_derived_cl84_010,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl65]) ).

thf(zip_derived_cl88_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X0 @ X1 )
      = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).

thf(zip_derived_cl82_012,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl64]) ).

thf(kn3,axiom,
    ( kn3
  <=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( implies @ P @ Q ) @ ( implies @ ( not @ ( and @ Q @ R ) ) @ ( not @ ( and @ R @ P ) ) ) ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( not @ ( and @ X1 @ X2 ) ) @ ( not @ ( and @ X2 @ X0 ) ) ) ) )
      | ~ kn3 ),
    inference(cnf,[status(esa)],[kn3]) ).

thf(zip_derived_cl109_013,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).

thf(rosser_kn3,axiom,
    kn3 ).

thf(zip_derived_cl66,plain,
    kn3,
    inference(cnf,[status(esa)],[rosser_kn3]) ).

thf(zip_derived_cl215,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( or @ ( and @ X1 @ X2 ) @ ( not @ ( and @ X2 @ X0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl109,zip_derived_cl66]) ).

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(rosser_modus_ponens,axiom,
    modus_ponens ).

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

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl63]) ).

thf(zip_derived_cl216,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
      | ( is_a_theorem @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl72]) ).

thf(zip_derived_cl254,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ ( and @ X0 @ X0 ) @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl216]) ).

thf(zip_derived_cl109_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).

thf(zip_derived_cl72_015,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl63]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( not @ X1 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl72]) ).

thf(zip_derived_cl305,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( not @ ( and @ X1 @ X0 ) ) )
      | ~ ( is_a_theorem @ ( not @ ( and @ ( and @ X0 @ X0 ) @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl130]) ).

thf(zip_derived_cl320,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( and @ X1 @ X1 ) @ X0 ) )
      | ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl305]) ).

thf(zip_derived_cl410,plain,
    ! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl320]) ).

thf(zip_derived_cl420,plain,
    ! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ X0 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl410]) ).

thf(zip_derived_cl109_016,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).

thf(zip_derived_cl216_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
      | ( is_a_theorem @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl72]) ).

thf(zip_derived_cl260,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ( is_a_theorem @ ( or @ ( and @ X0 @ X2 ) @ ( not @ ( and @ X2 @ ( not @ X1 ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl216]) ).

thf(zip_derived_cl88_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X0 @ X1 )
      = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ( is_a_theorem @ ( or @ ( and @ X0 @ X2 ) @ ( implies @ X2 @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl88]) ).

thf(zip_derived_cl433,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ X0 @ X1 ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl263]) ).

thf(zip_derived_cl484,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl121,zip_derived_cl433]) ).

thf(zip_derived_cl109_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).

thf(zip_derived_cl494,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( or @ X1 @ ( not @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl484,zip_derived_cl109]) ).

thf(zip_derived_cl72_020,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl63]) ).

thf(zip_derived_cl497,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ ( or @ X1 @ ( not @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl72]) ).

thf(zip_derived_cl576,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ ( and @ X0 @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl497]) ).

thf(zip_derived_cl684,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ X1 @ ( implies @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl576]) ).

thf(zip_derived_cl263_021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ( is_a_theorem @ ( or @ ( and @ X0 @ X2 ) @ ( implies @ X2 @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl88]) ).

thf(zip_derived_cl688,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( and @ ( implies @ X1 @ X0 ) @ X2 ) @ ( implies @ X2 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl263]) ).

thf(zip_derived_cl7852,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X0 @ X2 ) @ X1 ) @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl121,zip_derived_cl688]) ).

thf(zip_derived_cl109_022,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).

thf(zip_derived_cl7872,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X0 @ X2 ) @ X1 ) @ ( or @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7852,zip_derived_cl109]) ).

thf(zip_derived_cl88_023,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X0 @ X1 )
      = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).

thf(zip_derived_cl688_024,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( and @ ( implies @ X1 @ X0 ) @ X2 ) @ ( implies @ X2 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl263]) ).

thf(zip_derived_cl130_025,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( not @ X1 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl72]) ).

thf(zip_derived_cl7846,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( not @ ( and @ ( implies @ X0 @ X2 ) @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl130]) ).

thf(zip_derived_cl7883,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ X0 ) )
      | ( is_a_theorem @ ( implies @ ( not @ X0 ) @ X2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl7846]) ).

thf(zip_derived_cl109_026,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).

thf(zip_derived_cl7899,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X2 @ X1 ) @ X0 ) )
      | ( is_a_theorem @ ( or @ X0 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7883,zip_derived_cl109]) ).

thf(zip_derived_cl23773,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( or @ X1 @ X0 ) @ ( implies @ X0 @ X2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7872,zip_derived_cl7899]) ).

thf(zip_derived_cl23835,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( or @ ( or @ X2 @ ( not @ X1 ) ) @ ( or @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl109,zip_derived_cl23773]) ).

thf(zip_derived_cl410_027,plain,
    ! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl320]) ).

thf(zip_derived_cl433_028,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ X0 @ X1 ) @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl263]) ).

thf(zip_derived_cl130_029,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( not @ X1 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl72]) ).

thf(zip_derived_cl482,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ X1 @ ( not @ X0 ) ) )
      | ~ ( is_a_theorem @ ( not @ ( and @ X0 @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl130]) ).

thf(zip_derived_cl582,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl482]) ).

thf(zip_derived_cl72_030,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl63]) ).

thf(zip_derived_cl593,plain,
    ! [X0: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ( is_a_theorem @ ( not @ ( not @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl72]) ).

thf(zip_derived_cl88_031,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X0 @ X1 )
      = ( not @ ( and @ X0 @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).

thf(zip_derived_cl582_032,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl482]) ).

thf(zip_derived_cl320_033,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( and @ X1 @ X1 ) @ X0 ) )
      | ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl305]) ).

thf(zip_derived_cl597,plain,
    ! [X0: $i] : ( is_a_theorem @ ( not @ ( and @ ( not @ ( not @ ( not @ ( and @ X0 @ X0 ) ) ) ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl320]) ).

thf(zip_derived_cl7250,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ ( not @ ( and @ ( not @ X0 ) @ ( not @ X0 ) ) ) ) ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl597]) ).

thf(zip_derived_cl104_034,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X0 @ X1 )
      = ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl60]) ).

thf(zip_derived_cl109_035,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ ( not @ X1 ) @ X0 )
      = ( or @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl88]) ).

thf(zip_derived_cl7273,plain,
    ! [X0: $i] : ( is_a_theorem @ ( or @ ( not @ ( or @ X0 @ X0 ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7250,zip_derived_cl104,zip_derived_cl109]) ).

thf(zip_derived_cl130_036,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( not @ X1 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl72]) ).

thf(zip_derived_cl7290,plain,
    ! [X0: $i] :
      ( ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( not @ ( not @ ( or @ X0 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7273,zip_derived_cl130]) ).

thf(zip_derived_cl7304,plain,
    ! [X0: $i] :
      ( ~ ( is_a_theorem @ ( or @ X0 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl7290]) ).

thf(zip_derived_cl24164,plain,
    ! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23835,zip_derived_cl7304]) ).

thf(zip_derived_cl263_037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ( is_a_theorem @ ( or @ ( and @ X0 @ X2 ) @ ( implies @ X2 @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl88]) ).

thf(zip_derived_cl24228,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( and @ ( not @ X0 ) @ X1 ) @ ( implies @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24164,zip_derived_cl263]) ).

thf(zip_derived_cl130_038,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( not @ X1 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl72]) ).

thf(zip_derived_cl30181,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( not @ ( and @ ( not @ X0 ) @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24228,zip_derived_cl130]) ).

thf(zip_derived_cl30251,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl30181]) ).

thf(zip_derived_cl30362,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl30251]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL517+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ds5iZRAi98 true
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug 24 18:11:21 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 33.72/5.46  % Solved by fo/fo5.sh.
% 33.72/5.46  % done 2290 iterations in 4.679s
% 33.72/5.46  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.72/5.46  % SZS output start Refutation
% See solution above
% 33.72/5.46  
% 33.72/5.46  
% 33.72/5.46  % Terminating...
% 34.51/5.56  % Runner terminated.
% 34.51/5.58  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------