TSTP Solution File: LCL497+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL497+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.wofvgrE2hF true

% Computer : n015.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 08:59:57 EDT 2023

% Result   : Theorem 14.47s 2.68s
% Output   : Refutation 14.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   98 (  45 unt;  16 typ;   0 def)
%            Number of atoms       :  129 (  14 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  554 (  39   ~;  36   |;   1   &; 468   @)
%                                         (   7 <=>;   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     :   18 (  16 usr;  12 con; 0-2 aty)
%            Number of variables   :  141 (   0   ^; 141   !;   0   ?; 141   :)

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

thf(sk__42_type,type,
    sk__42: $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(sk__41_type,type,
    sk__41: $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(not_type,type,
    not: $i > $i ).

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

thf(zip_derived_cl42,plain,
    ( cn2
    | ~ ( is_a_theorem @ ( implies @ sk__41 @ ( implies @ ( not @ sk__41 ) @ sk__42 ) ) ) ),
    inference(cnf,[status(esa)],[cn2]) ).

thf(luka_cn2,conjecture,
    cn2 ).

thf(zf_stmt_0,negated_conjecture,
    ~ cn2,
    inference('cnf.neg',[status(esa)],[luka_cn2]) ).

thf(zip_derived_cl73,plain,
    ~ cn2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl358,plain,
    ~ ( is_a_theorem @ ( implies @ sk__41 @ ( implies @ ( not @ sk__41 ) @ sk__42 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl73]) ).

thf(luka_op_or,axiom,
    op_or ).

thf(zip_derived_cl70,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_cl330,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(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_cl332,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_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_cl353,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(zip_derived_cl378,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl353]) ).

thf(zip_derived_cl332_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(zip_derived_cl332_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(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_cl355,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(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_cl360,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_cl446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( or @ X1 @ ( or @ X2 @ X0 ) ) )
      | ( is_a_theorem @ ( or @ X2 @ ( or @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl360]) ).

thf(zip_derived_cl519,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( or @ X1 @ X0 ) ) )
      | ( is_a_theorem @ ( or @ X1 @ ( or @ ( not @ X2 ) @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl446]) ).

thf(zip_derived_cl332_003,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_cl523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( or @ X1 @ X0 ) ) )
      | ( is_a_theorem @ ( or @ X1 @ ( implies @ X2 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl519,zip_derived_cl332]) ).

thf(zip_derived_cl2582,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ ( or @ ( not @ X2 ) @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl523]) ).

thf(zip_derived_cl332_004,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_cl2585,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ X2 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2582,zip_derived_cl332]) ).

thf(zip_derived_cl2590,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ X0 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl2585]) ).

thf(zip_derived_cl332_005,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_cl332_006,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_cl354,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_cl392,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl354]) ).

thf(zip_derived_cl410,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( not @ X0 ) ) @ ( implies @ X0 @ ( not @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl392]) ).

thf(zip_derived_cl332_007,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_cl356,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_cl360_008,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_cl471,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ ( or @ X1 @ X2 ) @ ( or @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl360]) ).

thf(zip_derived_cl1328,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ ( or @ ( not @ X1 ) @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl471]) ).

thf(zip_derived_cl332_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_cl1333,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1328,zip_derived_cl332]) ).

thf(zip_derived_cl360_010,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_cl1348,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_cl1333,zip_derived_cl360]) ).

thf(zip_derived_cl1449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X0 @ ( not @ X1 ) ) ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl1348]) ).

thf(zip_derived_cl9203,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ X0 @ ( not @ ( not @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2590,zip_derived_cl1449]) ).

thf(zip_derived_cl2585_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ X2 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2582,zip_derived_cl332]) ).

thf(zip_derived_cl10081,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9203,zip_derived_cl2585]) ).

thf(zip_derived_cl1449_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X0 @ ( not @ X1 ) ) ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ ( not @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl1348]) ).

thf(zip_derived_cl10455,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10081,zip_derived_cl1449]) ).

thf(zip_derived_cl10820,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ X2 @ ( implies @ ( not @ X2 ) @ ( or @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl10455]) ).

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_cl352,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_cl1333_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1328,zip_derived_cl332]) ).

thf(zip_derived_cl1348_014,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_cl1333,zip_derived_cl360]) ).

thf(zip_derived_cl1453,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_cl1333,zip_derived_cl1348]) ).

thf(zip_derived_cl1598,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_cl352,zip_derived_cl1453]) ).

thf(zip_derived_cl11468,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10820,zip_derived_cl1598]) ).

thf(zip_derived_cl11509,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl11468]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL497+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wofvgrE2hF true
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug 24 18:38:36 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 14.47/2.68  % Solved by fo/fo6_bce.sh.
% 14.47/2.68  % BCE start: 74
% 14.47/2.68  % BCE eliminated: 2
% 14.47/2.68  % PE start: 72
% 14.47/2.68  logic: eq
% 14.47/2.68  % PE eliminated: 41
% 14.47/2.68  % done 820 iterations in 1.925s
% 14.47/2.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.47/2.68  % SZS output start Refutation
% See solution above
% 14.47/2.68  
% 14.47/2.68  
% 14.47/2.68  % Terminating...
% 14.47/2.84  % Runner terminated.
% 15.52/2.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------