TSTP Solution File: LCL518+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL518+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.RjsDtCqZtQ true

% Computer : n014.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 1.40s 1.29s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  115 (  71 unt;  15 typ;   0 def)
%            Number of atoms       :  138 (  43 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  629 (  30   ~;  27   |;   1   &; 561   @)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;  11 con; 0-2 aty)
%            Number of variables   :  161 (   0   ^; 161   !;   0   ?; 161   :)

% Comments : 
%------------------------------------------------------------------------------
thf(op_or_type,type,
    op_or: $o ).

thf(op_and_type,type,
    op_and: $o ).

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

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

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

thf(sk__44_type,type,
    sk__44: $i ).

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

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

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

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

thf(zip_derived_cl46,plain,
    ( r1
    | ~ ( is_a_theorem @ ( implies @ ( or @ sk__44 @ sk__44 ) @ sk__44 ) ) ),
    inference(cnf,[status(esa)],[r1]) ).

thf(principia_r1,conjecture,
    r1 ).

thf(zf_stmt_0,negated_conjecture,
    ~ r1,
    inference('cnf.neg',[status(esa)],[principia_r1]) ).

thf(zip_derived_cl71,plain,
    ~ r1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl357,plain,
    ~ ( is_a_theorem @ ( implies @ ( or @ sk__44 @ sk__44 ) @ sk__44 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl46,zip_derived_cl71]) ).

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(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_cl330,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).

thf(rosser_op_or,axiom,
    op_or ).

thf(zip_derived_cl60,plain,
    op_or,
    inference(cnf,[status(esa)],[rosser_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_cl328,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_cl382,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).

thf(zip_derived_cl328_001,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(principia_op_implies_or,axiom,
    op_implies_or ).

thf(zip_derived_cl68,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_cl331,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl58]) ).

thf(zip_derived_cl365,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( implies @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) @ X2 )
      = ( or @ ( or @ X1 @ X0 ) @ X2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl331]) ).

thf(rosser_kn2,axiom,
    kn2 ).

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

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(zip_derived_cl354,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl35]) ).

thf(zip_derived_cl659,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( or @ ( or @ X0 @ X1 ) @ ( not @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl365,zip_derived_cl354]) ).

thf(zip_derived_cl330_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).

thf(rosser_kn3,axiom,
    kn3 ).

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

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_cl355,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( implies @ ( not @ ( and @ X2 @ X1 ) ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl37]) ).

thf(zip_derived_cl382_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).

thf(zip_derived_cl510,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( not @ ( and @ X1 @ X0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl382]) ).

thf(zip_derived_cl512,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl510]) ).

thf(zip_derived_cl382_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).

thf(zip_derived_cl519,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( or @ ( and @ X2 @ X1 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl382]) ).

thf(principia_op_and,axiom,
    op_and ).

thf(zip_derived_cl69,plain,
    op_and,
    inference(cnf,[status(esa)],[principia_op_and]) ).

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

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( and @ X0 @ X1 )
        = ( not @ ( or @ ( not @ X0 ) @ ( not @ X1 ) ) ) )
      | ~ op_and ),
    inference(cnf,[status(esa)],[op_and]) ).

thf(zip_derived_cl329,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ X1 @ X0 )
      = ( not @ ( or @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl56]) ).

thf(zip_derived_cl331_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl58]) ).

thf(zip_derived_cl367,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ X1 @ X0 )
      = ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).

thf(zip_derived_cl331_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl58]) ).

thf(zip_derived_cl371,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( implies @ ( implies @ X1 @ ( not @ X0 ) ) @ X2 )
      = ( or @ ( and @ X1 @ X0 ) @ X2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl331]) ).

thf(zip_derived_cl851,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl519,zip_derived_cl371]) ).

thf(zip_derived_cl328_007,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_cl330_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).

thf(zip_derived_cl385,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( implies @ X2 @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) )
      = ( not @ ( and @ X2 @ ( or @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl330]) ).

thf(zip_derived_cl331_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl58]) ).

thf(zip_derived_cl382_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).

thf(zip_derived_cl367_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ X1 @ X0 )
      = ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).

thf(zip_derived_cl388,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ ( not @ X1 ) @ X0 )
      = ( not @ ( or @ X1 @ ( not @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl367]) ).

thf(zip_derived_cl404,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ ( not @ ( not @ X1 ) ) @ X0 )
      = ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl331,zip_derived_cl388]) ).

thf(zip_derived_cl367_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ X1 @ X0 )
      = ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).

thf(zip_derived_cl409,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ ( not @ ( not @ X1 ) ) @ X0 )
      = ( and @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl404,zip_derived_cl367]) ).

thf(rosser_kn1,axiom,
    kn1 ).

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

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(zip_derived_cl353,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl33]) ).

thf(zip_derived_cl413,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( not @ ( not @ X0 ) ) @ ( and @ X0 @ ( not @ ( not @ X0 ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl409,zip_derived_cl353]) ).

thf(zip_derived_cl382_013,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).

thf(zip_derived_cl331_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl58]) ).

thf(zip_derived_cl421,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ ( not @ ( not @ X0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl413,zip_derived_cl382,zip_derived_cl331]) ).

thf(zip_derived_cl330_015,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).

thf(zip_derived_cl382_016,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).

thf(rosser_modus_ponens,axiom,
    modus_ponens ).

thf(zip_derived_cl63,plain,
    modus_ponens,
    inference(cnf,[status(esa)],[rosser_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_cl359,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_cl387,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_cl382,zip_derived_cl359]) ).

thf(zip_derived_cl394,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_cl330,zip_derived_cl387]) ).

thf(zip_derived_cl371_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( implies @ ( implies @ X1 @ ( not @ X0 ) ) @ X2 )
      = ( or @ ( and @ X1 @ X0 ) @ X2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl331]) ).

thf(zip_derived_cl1453,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( not @ ( not @ X0 ) ) ) @ X2 ) )
      | ( is_a_theorem @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl394,zip_derived_cl371]) ).

thf(zip_derived_cl1456,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( not @ ( not @ ( and @ X0 @ ( not @ ( not @ X0 ) ) ) ) ) ) @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl1453]) ).

thf(zip_derived_cl330_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).

thf(zip_derived_cl367_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( and @ X1 @ X0 )
      = ( not @ ( implies @ X1 @ ( not @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl331]) ).

thf(zip_derived_cl1468,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1456,zip_derived_cl330,zip_derived_cl367]) ).

thf(zip_derived_cl1477,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( not @ ( and @ ( not @ X0 ) @ ( or @ X0 @ X0 ) ) ) @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl1468]) ).

thf(zip_derived_cl382_020,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).

thf(zip_derived_cl371_021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( implies @ ( implies @ X1 @ ( not @ X0 ) ) @ X2 )
      = ( or @ ( and @ X1 @ X0 ) @ X2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl331]) ).

thf(zip_derived_cl382_022,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).

thf(zip_derived_cl1486,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( or @ X0 @ ( not @ ( or @ X0 @ X0 ) ) ) @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1477,zip_derived_cl382,zip_derived_cl371,zip_derived_cl382]) ).

thf(zip_derived_cl1906,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ ( or @ X0 @ X0 ) ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl851,zip_derived_cl1486]) ).

thf(zip_derived_cl382_023,plain,
    ! [X0: $i,X1: $i] :
      ( ( or @ X1 @ X0 )
      = ( implies @ ( not @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl328]) ).

thf(zip_derived_cl1938,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( or @ ( or @ X0 @ X0 ) @ ( not @ X1 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1906,zip_derived_cl382]) ).

thf(zip_derived_cl359_024,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_cl2176,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ ( or @ X0 @ X0 ) @ ( not @ X1 ) ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1938,zip_derived_cl359]) ).

thf(zip_derived_cl4264,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl659,zip_derived_cl2176]) ).

thf(zip_derived_cl4306,plain,
    ! [X0: $i] : ( is_a_theorem @ ( or @ X0 @ ( not @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl4264]) ).

thf(zip_derived_cl2176_025,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( or @ ( or @ X0 @ X0 ) @ ( not @ X1 ) ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1938,zip_derived_cl359]) ).

thf(zip_derived_cl4402,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4306,zip_derived_cl2176]) ).

thf(zip_derived_cl4445,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl4402]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL518+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RjsDtCqZtQ true
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug 24 19:31:48 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.40/1.29  % Solved by fo/fo6_bce.sh.
% 1.40/1.29  % BCE start: 72
% 1.40/1.29  % BCE eliminated: 0
% 1.40/1.29  % PE start: 72
% 1.40/1.29  logic: eq
% 1.40/1.29  % PE eliminated: 40
% 1.40/1.29  % done 315 iterations in 0.554s
% 1.40/1.29  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.40/1.29  % SZS output start Refutation
% See solution above
% 1.40/1.29  
% 1.40/1.29  
% 1.40/1.29  % Terminating...
% 1.40/1.36  % Runner terminated.
% 1.40/1.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------