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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU216+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tRLGm180MC true

% Computer : n020.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 Oct  2 04:53:51 PM UTC 2025

% Result   : Theorem 88.43s 13.29s
% Output   : Refutation 88.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   71 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :  189 (  99 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  622 (  82   ~;  92   |;  10   &; 422   @)
%                                         (   7 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   5 con; 0-2 aty)
%            Number of variables   :   61 (   0   ^;  61   !;   0   ?;  61   :)

% Comments : 
%------------------------------------------------------------------------------
thf(empty_set_type,type,
    empty_set: $i ).

thf(apply_type,type,
    apply: $i > $i > $i ).

thf(function_type,type,
    function: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(relation_rng_type,type,
    relation_rng: $i > $i ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(relation_type,type,
    relation: $i > $o ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(identity_relation_type,type,
    identity_relation: $i > $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(t34_funct_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ( ( B
          = ( identity_relation @ A ) )
      <=> ( ( ( relation_dom @ B )
            = A )
          & ! [C: $i] :
              ( ( in @ C @ A )
             => ( ( apply @ B @ C )
                = C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( relation @ B )
          & ( function @ B ) )
       => ( ( B
            = ( identity_relation @ A ) )
        <=> ( ( ( relation_dom @ B )
              = A )
            & ! [C: $i] :
                ( ( in @ C @ A )
               => ( ( apply @ B @ C )
                  = C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t34_funct_1]) ).

thf(zip_derived_cl31,plain,
    relation @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d10_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( ( B
          = ( identity_relation @ A ) )
      <=> ! [C: $i,D: $i] :
            ( ( in @ ( ordered_pair @ C @ D ) @ B )
          <=> ( ( in @ C @ A )
              & ( C = D ) ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X0 )
      | ( ( sk_ @ X0 @ X1 )
        = ( sk__1 @ X0 @ X1 ) )
      | ( X0
        = ( identity_relation @ X1 ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d10_relat_1]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ( sk__6
        = ( identity_relation @ X0 ) )
      | ( ( sk_ @ sk__6 @ X0 )
        = ( sk__1 @ sk__6 @ X0 ) )
      | ( in @ ( ordered_pair @ ( sk_ @ sk__6 @ X0 ) @ ( sk__1 @ sk__6 @ X0 ) ) @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl4]) ).

thf(zip_derived_cl31_001,plain,
    relation @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X0 )
      | ( in @ ( sk_ @ X0 @ X1 ) @ X1 )
      | ( X0
        = ( identity_relation @ X1 ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d10_relat_1]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( sk__6
        = ( identity_relation @ X0 ) )
      | ( in @ ( sk_ @ sk__6 @ X0 ) @ X0 )
      | ( in @ ( ordered_pair @ ( sk_ @ sk__6 @ X0 ) @ ( sk__1 @ sk__6 @ X0 ) ) @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl3]) ).

thf(t8_funct_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( relation @ C )
        & ( function @ C ) )
     => ( ( in @ ( ordered_pair @ A @ B ) @ C )
      <=> ( ( in @ A @ ( relation_dom @ C ) )
          & ( B
            = ( apply @ C @ A ) ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
      | ( in @ X0 @ ( relation_dom @ X2 ) )
      | ~ ( function @ X2 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[t8_funct_1]) ).

thf(zip_derived_cl556,plain,
    ! [X0: $i] :
      ( ( in @ ( sk_ @ sk__6 @ X0 ) @ X0 )
      | ( sk__6
        = ( identity_relation @ X0 ) )
      | ~ ( relation @ sk__6 )
      | ~ ( function @ sk__6 )
      | ( in @ ( sk_ @ sk__6 @ X0 ) @ ( relation_dom @ sk__6 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl30]) ).

thf(zip_derived_cl31_002,plain,
    relation @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    function @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    ( ( ( relation_dom @ sk__6 )
      = sk__5 )
    | ( sk__6
      = ( identity_relation @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t71_relat_1,axiom,
    ! [A: $i] :
      ( ( ( relation_rng @ ( identity_relation @ A ) )
        = A )
      & ( ( relation_dom @ ( identity_relation @ A ) )
        = A ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( relation_dom @ ( identity_relation @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[t71_relat_1]) ).

thf(zip_derived_cl71,plain,
    ( ( ( relation_dom @ sk__6 )
      = sk__5 )
    | ( ( relation_dom @ sk__6 )
      = sk__5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl25]) ).

thf(zip_derived_cl74,plain,
    ( ( relation_dom @ sk__6 )
    = sk__5 ),
    inference(simplify,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl568,plain,
    ! [X0: $i] :
      ( ( in @ ( sk_ @ sk__6 @ X0 ) @ X0 )
      | ( sk__6
        = ( identity_relation @ X0 ) )
      | ( in @ ( sk_ @ sk__6 @ X0 ) @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl556,zip_derived_cl31,zip_derived_cl32,zip_derived_cl74]) ).

thf(zip_derived_cl15550,plain,
    ( ( sk__6
      = ( identity_relation @ sk__5 ) )
    | ( in @ ( sk_ @ sk__6 @ sk__5 ) @ sk__5 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl568]) ).

thf(zip_derived_cl34,plain,
    ( ( in @ sk__7 @ sk__5 )
    | ( ( relation_dom @ sk__6 )
     != sk__5 )
    | ( sk__6
     != ( identity_relation @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_003,plain,
    ( ( relation_dom @ sk__6 )
    = sk__5 ),
    inference(simplify,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl98,plain,
    ( ( in @ sk__7 @ sk__5 )
    | ( sk__5 != sk__5 )
    | ( sk__6
     != ( identity_relation @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl74]) ).

thf(zip_derived_cl99,plain,
    ( ( sk__6
     != ( identity_relation @ sk__5 ) )
    | ( in @ sk__7 @ sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl74_004,plain,
    ( ( relation_dom @ sk__6 )
    = sk__5 ),
    inference(simplify,[status(thm)],[zip_derived_cl71]) ).

thf(d4_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ! [B: $i,C: $i] :
          ( ( ~ ( in @ B @ ( relation_dom @ A ) )
           => ( ( C
                = ( apply @ A @ B ) )
            <=> ( C = empty_set ) ) )
          & ( ( in @ B @ ( relation_dom @ A ) )
           => ( ( C
                = ( apply @ A @ B ) )
            <=> ( in @ ( ordered_pair @ B @ C ) @ A ) ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
      | ( in @ ( ordered_pair @ X0 @ X2 ) @ X1 )
      | ( X2
       != ( apply @ X1 @ X0 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d4_funct_1]) ).

thf(zip_derived_cl214,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ sk__5 )
      | ~ ( relation @ sk__6 )
      | ~ ( function @ sk__6 )
      | ( X1
       != ( apply @ sk__6 @ X0 ) )
      | ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl11]) ).

thf(zip_derived_cl31_005,plain,
    relation @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_006,plain,
    function @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl223,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ sk__5 )
      | ( X1
       != ( apply @ sk__6 @ X0 ) )
      | ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl31,zip_derived_cl32]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1
       != ( identity_relation @ X0 ) )
      | ( X3 = X2 )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d10_relat_1]) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( apply @ sk__6 @ X1 ) )
      | ~ ( in @ X1 @ sk__5 )
      | ~ ( relation @ sk__6 )
      | ( X1 = X0 )
      | ( sk__6
       != ( identity_relation @ X2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl7]) ).

thf(zip_derived_cl31_007,plain,
    relation @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( apply @ sk__6 @ X1 ) )
      | ~ ( in @ X1 @ sk__5 )
      | ( X1 = X0 )
      | ( sk__6
       != ( identity_relation @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl275,zip_derived_cl31]) ).

thf(zip_derived_cl353,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__6
       != ( identity_relation @ X0 ) )
      | ( X1
        = ( apply @ sk__6 @ X1 ) )
      | ~ ( in @ X1 @ sk__5 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl290]) ).

thf(zip_derived_cl357,plain,
    ! [X0: $i] :
      ( ( sk__6
       != ( identity_relation @ sk__5 ) )
      | ( sk__7
        = ( apply @ sk__6 @ sk__7 ) )
      | ( sk__6
       != ( identity_relation @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl353]) ).

thf(zip_derived_cl427,plain,
    ( ( sk__6
     != ( identity_relation @ sk__5 ) )
    | ( sk__7
      = ( apply @ sk__6 @ sk__7 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl357]) ).

thf(zip_derived_cl33,plain,
    ( ( ( apply @ sk__6 @ sk__7 )
     != sk__7 )
    | ( ( relation_dom @ sk__6 )
     != sk__5 )
    | ( sk__6
     != ( identity_relation @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_008,plain,
    ( ( relation_dom @ sk__6 )
    = sk__5 ),
    inference(simplify,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl75,plain,
    ( ( ( apply @ sk__6 @ sk__7 )
     != sk__7 )
    | ( sk__5 != sk__5 )
    | ( sk__6
     != ( identity_relation @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl74]) ).

thf(zip_derived_cl76,plain,
    ( ( sk__6
     != ( identity_relation @ sk__5 ) )
    | ( ( apply @ sk__6 @ sk__7 )
     != sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl428,plain,
    ( sk__6
   != ( identity_relation @ sk__5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl427,zip_derived_cl76]) ).

thf(zip_derived_cl15551,plain,
    in @ ( sk_ @ sk__6 @ sk__5 ) @ sk__5,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl15550,zip_derived_cl428]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__5 )
      | ( ( apply @ sk__6 @ X0 )
        = X0 )
      | ( sk__6
        = ( identity_relation @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15597,plain,
    ( ( sk__6
      = ( identity_relation @ sk__5 ) )
    | ( ( apply @ sk__6 @ ( sk_ @ sk__6 @ sk__5 ) )
      = ( sk_ @ sk__6 @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15551,zip_derived_cl36]) ).

thf(zip_derived_cl428_009,plain,
    ( sk__6
   != ( identity_relation @ sk__5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl427,zip_derived_cl76]) ).

thf(zip_derived_cl15622,plain,
    ( ( apply @ sk__6 @ ( sk_ @ sk__6 @ sk__5 ) )
    = ( sk_ @ sk__6 @ sk__5 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl15597,zip_derived_cl428]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
      | ( X1
        = ( apply @ X2 @ X0 ) )
      | ~ ( function @ X2 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[t8_funct_1]) ).

thf(zip_derived_cl17347,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk_ @ sk__6 @ sk__5 ) )
      | ~ ( relation @ sk__6 )
      | ~ ( function @ sk__6 )
      | ~ ( in @ ( ordered_pair @ ( sk_ @ sk__6 @ sk__5 ) @ X0 ) @ sk__6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15622,zip_derived_cl29]) ).

thf(zip_derived_cl31_010,plain,
    relation @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_011,plain,
    function @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17364,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk_ @ sk__6 @ sk__5 ) )
      | ~ ( in @ ( ordered_pair @ ( sk_ @ sk__6 @ sk__5 ) @ X0 ) @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl17347,zip_derived_cl31,zip_derived_cl32]) ).

thf(zip_derived_cl73704,plain,
    ( ( ( sk_ @ sk__6 @ sk__5 )
      = ( sk__1 @ sk__6 @ sk__5 ) )
    | ( sk__6
      = ( identity_relation @ sk__5 ) )
    | ( ( sk__1 @ sk__6 @ sk__5 )
      = ( sk_ @ sk__6 @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl17364]) ).

thf(zip_derived_cl73726,plain,
    ( ( sk__6
      = ( identity_relation @ sk__5 ) )
    | ( ( sk_ @ sk__6 @ sk__5 )
      = ( sk__1 @ sk__6 @ sk__5 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl73704]) ).

thf(zip_derived_cl15622_012,plain,
    ( ( apply @ sk__6 @ ( sk_ @ sk__6 @ sk__5 ) )
    = ( sk_ @ sk__6 @ sk__5 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl15597,zip_derived_cl428]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X0 )
      | ~ ( in @ ( sk_ @ X0 @ X1 ) @ X1 )
      | ( ( sk_ @ X0 @ X1 )
       != ( sk__1 @ X0 @ X1 ) )
      | ( X0
        = ( identity_relation @ X1 ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d10_relat_1]) ).

thf(zip_derived_cl223_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ sk__5 )
      | ( X1
       != ( apply @ sk__6 @ X0 ) )
      | ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl31,zip_derived_cl32]) ).

thf(zip_derived_cl284,plain,
    ! [X0: $i] :
      ( ~ ( relation @ sk__6 )
      | ( sk__6
        = ( identity_relation @ X0 ) )
      | ( ( sk_ @ sk__6 @ X0 )
       != ( sk__1 @ sk__6 @ X0 ) )
      | ~ ( in @ ( sk_ @ sk__6 @ X0 ) @ X0 )
      | ( ( sk__1 @ sk__6 @ X0 )
       != ( apply @ sk__6 @ ( sk_ @ sk__6 @ X0 ) ) )
      | ~ ( in @ ( sk_ @ sk__6 @ X0 ) @ sk__5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl223]) ).

thf(zip_derived_cl31_014,plain,
    relation @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i] :
      ( ( sk__6
        = ( identity_relation @ X0 ) )
      | ( ( sk_ @ sk__6 @ X0 )
       != ( sk__1 @ sk__6 @ X0 ) )
      | ~ ( in @ ( sk_ @ sk__6 @ X0 ) @ X0 )
      | ( ( sk__1 @ sk__6 @ X0 )
       != ( apply @ sk__6 @ ( sk_ @ sk__6 @ X0 ) ) )
      | ~ ( in @ ( sk_ @ sk__6 @ X0 ) @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl31]) ).

thf(zip_derived_cl17356,plain,
    ( ( ( sk__1 @ sk__6 @ sk__5 )
     != ( sk_ @ sk__6 @ sk__5 ) )
    | ~ ( in @ ( sk_ @ sk__6 @ sk__5 ) @ sk__5 )
    | ~ ( in @ ( sk_ @ sk__6 @ sk__5 ) @ sk__5 )
    | ( ( sk_ @ sk__6 @ sk__5 )
     != ( sk__1 @ sk__6 @ sk__5 ) )
    | ( sk__6
      = ( identity_relation @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15622,zip_derived_cl288]) ).

thf(zip_derived_cl15551_015,plain,
    in @ ( sk_ @ sk__6 @ sk__5 ) @ sk__5,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl15550,zip_derived_cl428]) ).

thf(zip_derived_cl15551_016,plain,
    in @ ( sk_ @ sk__6 @ sk__5 ) @ sk__5,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl15550,zip_derived_cl428]) ).

thf(zip_derived_cl17372,plain,
    ( ( ( sk__1 @ sk__6 @ sk__5 )
     != ( sk_ @ sk__6 @ sk__5 ) )
    | ( ( sk_ @ sk__6 @ sk__5 )
     != ( sk__1 @ sk__6 @ sk__5 ) )
    | ( sk__6
      = ( identity_relation @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl17356,zip_derived_cl15551,zip_derived_cl15551]) ).

thf(zip_derived_cl17373,plain,
    ( ( sk__6
      = ( identity_relation @ sk__5 ) )
    | ( ( sk__1 @ sk__6 @ sk__5 )
     != ( sk_ @ sk__6 @ sk__5 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17372]) ).

thf(zip_derived_cl428_017,plain,
    ( sk__6
   != ( identity_relation @ sk__5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl427,zip_derived_cl76]) ).

thf(zip_derived_cl17374,plain,
    ( ( sk__1 @ sk__6 @ sk__5 )
   != ( sk_ @ sk__6 @ sk__5 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl17373,zip_derived_cl428]) ).

thf(zip_derived_cl428_018,plain,
    ( sk__6
   != ( identity_relation @ sk__5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl427,zip_derived_cl76]) ).

thf(zip_derived_cl73727,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl73726,zip_derived_cl17374,zip_derived_cl428]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU216+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tRLGm180MC true
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 16:10:23 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in FO mode
% 0.41/0.62  % Total configuration time : 435
% 0.41/0.62  % Estimated wc time : 1092
% 0.41/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 88.43/13.29  % Solved by fo/fo4.sh.
% 88.43/13.29  % done 7660 iterations in 12.521s
% 88.43/13.29  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 88.43/13.29  % SZS output start Refutation
% See solution above
% 88.43/13.29  
% 88.43/13.29  
% 88.43/13.30  % Terminating...
% 88.88/13.38  % Runner terminated.
% 88.91/13.40  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------