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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS142+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bkTomCtfyE true

% Computer : n028.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 04:40:41 PM UTC 2025

% Result   : Theorem 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   69 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  295 (  25 equ;   0 cnn)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  696 ( 136   ~; 181   |;  16   &; 334   @)
%                                         (   3 <=>;   8  =>;  18  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   55 (   0   ^;  52   !;   3   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cowlNothing_type,type,
    cowlNothing: $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

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

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

thf(cc_type,type,
    cc: $i > $o ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(rp_type,type,
    rp: $i > $i > $o ).

thf(xsd_string_type,type,
    xsd_string: $i > $o ).

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

thf(xsd_integer_type,type,
    xsd_integer: $i > $o ).

thf(cowlThing_type,type,
    cowlThing: $i > $o ).

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

thf(the_axiom,conjecture,
    ( ! [X: $i] :
        ( ~ ( cowlNothing @ X )
        & ( cowlThing @ X ) )
    & ! [X: $i] :
        ( ( xsd_string @ X )
      <=> ~ ( xsd_integer @ X ) )
    & ! [X: $i] :
        ( ( cc @ X )
       => ? [Y0: $i] : ( rp @ X @ Y0 ) )
    & ! [X: $i] :
        ( ( cc @ X )
       => ! [Y0: $i,Y1: $i] :
            ( ( ( rp @ X @ Y0 )
              & ( rp @ X @ Y1 ) )
           => ( Y0 = Y1 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i] :
          ( ~ ( cowlNothing @ X )
          & ( cowlThing @ X ) )
      & ! [X: $i] :
          ( ( xsd_string @ X )
        <=> ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( cc @ X )
         => ? [Y0: $i] : ( rp @ X @ Y0 ) )
      & ! [X: $i] :
          ( ( cc @ X )
         => ! [Y0: $i,Y1: $i] :
              ( ( ( rp @ X @ Y0 )
                & ( rp @ X @ Y1 ) )
             => ( Y0 = Y1 ) ) ) ),
    inference('cnf.neg',[status(esa)],[the_axiom]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ~ ( cowlThing @ sk__1 )
      | ( cowlNothing @ sk__1 )
      | ~ ( xsd_string @ sk__2 )
      | ( xsd_integer @ sk__2 )
      | ~ ( rp @ sk__3 @ X0 )
      | ( rp @ sk__4 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( rp @ sk__4 @ sk__6 )
    | ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 )
    | ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ~ ( xsd_string @ sk__2 )
    | ( xsd_integer @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ~ ( cowlThing @ sk__1 )
      | ( cowlNothing @ sk__1 )
      | ~ ( xsd_string @ sk__2 )
      | ( xsd_integer @ sk__2 )
      | ~ ( rp @ sk__3 @ X0 )
      | ( rp @ sk__4 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ( rp @ sk__4 @ sk__5 )
    | ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 )
    | ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ~ ( xsd_string @ sk__2 )
    | ( xsd_integer @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl15,plain,
    ( ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ~ ( xsd_string @ sk__2 )
    | ( xsd_integer @ sk__2 )
    | ( cc @ sk__3 )
    | ( rp @ sk__4 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ( rp @ sk__4 @ sk__6 )
    | ( cc @ sk__3 )
    | ~ ( cowlThing @ sk__1 )
    | ( xsd_integer @ sk__2 )
    | ( cowlNothing @ sk__1 )
    | ~ ( xsd_string @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ~ ( xsd_string @ sk__2 )
    | ( xsd_integer @ sk__2 )
    | ( cc @ sk__3 )
    | ( rp @ sk__4 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ( rp @ sk__4 @ sk__5 )
    | ( cc @ sk__3 )
    | ~ ( cowlThing @ sk__1 )
    | ~ ( xsd_string @ sk__2 )
    | ( cowlNothing @ sk__1 )
    | ( xsd_integer @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl13,plain,
    ( ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ~ ( xsd_string @ sk__2 )
    | ( xsd_integer @ sk__2 )
    | ( cc @ sk__3 )
    | ( cc @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ( cc @ sk__4 )
    | ( cc @ sk__3 )
    | ~ ( cowlThing @ sk__1 )
    | ~ ( xsd_string @ sk__2 )
    | ( xsd_integer @ sk__2 )
    | ( cowlNothing @ sk__1 ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl22,plain,
    ( ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ( xsd_string @ sk__2 )
    | ~ ( xsd_integer @ sk__2 )
    | ( cc @ sk__3 )
    | ( rp @ sk__4 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ( rp @ sk__4 @ sk__5 )
    | ( cc @ sk__3 )
    | ~ ( cowlThing @ sk__1 )
    | ~ ( xsd_integer @ sk__2 )
    | ( cowlNothing @ sk__1 )
    | ( xsd_string @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ( xsd_string @ sk__2 )
    | ~ ( xsd_integer @ sk__2 )
    | ( cc @ sk__3 )
    | ( cc @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ( cc @ sk__4 )
    | ( cc @ sk__3 )
    | ~ ( cowlThing @ sk__1 )
    | ~ ( xsd_integer @ sk__2 )
    | ( xsd_string @ sk__2 )
    | ( cowlNothing @ sk__1 ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl23,plain,
    ( ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ( xsd_string @ sk__2 )
    | ~ ( xsd_integer @ sk__2 )
    | ( cc @ sk__3 )
    | ( rp @ sk__4 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ( rp @ sk__4 @ sk__6 )
    | ~ ( xsd_integer @ sk__2 )
    | ~ ( cowlThing @ sk__1 )
    | ( cc @ sk__3 )
    | ( cowlNothing @ sk__1 )
    | ( xsd_string @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(axiom_1,axiom,
    ! [X: $i] :
      ( ( xsd_string @ X )
    <=> ~ ( xsd_integer @ X ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( xsd_string @ X0 )
      | ( xsd_integer @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( xsd_string @ sk__2 )
   <= ~ ( xsd_string @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl151,plain,
    ( ( xsd_integer @ sk__2 )
   <= ~ ( xsd_string @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl32]) ).

thf(zip_derived_cl79,plain,
    ( ~ ( xsd_integer @ sk__2 )
   <= ~ ( xsd_integer @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf('8',plain,
    ( ( xsd_string @ sk__2 )
    | ( xsd_integer @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl79]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ~ ( cowlThing @ sk__1 )
      | ( cowlNothing @ sk__1 )
      | ~ ( xsd_string @ sk__2 )
      | ( xsd_integer @ sk__2 )
      | ~ ( rp @ sk__3 @ X0 )
      | ( sk__5 != sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ( sk__5 != sk__6 )
    | ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 )
    | ( cowlNothing @ sk__1 )
    | ~ ( cowlThing @ sk__1 )
    | ( xsd_integer @ sk__2 )
    | ~ ( xsd_string @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl16,plain,
    ( ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ~ ( xsd_string @ sk__2 )
    | ( xsd_integer @ sk__2 )
    | ( cc @ sk__3 )
    | ( sk__5 != sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ( sk__5 != sk__6 )
    | ( cc @ sk__3 )
    | ~ ( xsd_string @ sk__2 )
    | ~ ( cowlThing @ sk__1 )
    | ( xsd_integer @ sk__2 )
    | ( cowlNothing @ sk__1 ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl24,plain,
    ( ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ( xsd_string @ sk__2 )
    | ~ ( xsd_integer @ sk__2 )
    | ( cc @ sk__3 )
    | ( sk__5 != sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ( sk__5 != sk__6 )
    | ( cc @ sk__3 )
    | ~ ( xsd_integer @ sk__2 )
    | ~ ( cowlThing @ sk__1 )
    | ( xsd_string @ sk__2 )
    | ( cowlNothing @ sk__1 ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ~ ( cowlThing @ sk__1 )
      | ( cowlNothing @ sk__1 )
      | ( xsd_string @ sk__2 )
      | ~ ( xsd_integer @ sk__2 )
      | ~ ( rp @ sk__3 @ X0 )
      | ( sk__5 != sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( ( sk__5 != sk__6 )
    | ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 )
    | ~ ( xsd_integer @ sk__2 )
    | ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ( xsd_string @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ~ ( cowlThing @ sk__1 )
      | ( cowlNothing @ sk__1 )
      | ( xsd_string @ sk__2 )
      | ~ ( xsd_integer @ sk__2 )
      | ~ ( rp @ sk__3 @ X0 )
      | ( cc @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ( cc @ sk__4 )
    | ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 )
    | ~ ( cowlThing @ sk__1 )
    | ( xsd_string @ sk__2 )
    | ( cowlNothing @ sk__1 )
    | ~ ( xsd_integer @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ~ ( cowlThing @ sk__1 )
      | ( cowlNothing @ sk__1 )
      | ( xsd_string @ sk__2 )
      | ~ ( xsd_integer @ sk__2 )
      | ~ ( rp @ sk__3 @ X0 )
      | ( rp @ sk__4 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ( rp @ sk__4 @ sk__6 )
    | ~ ( xsd_integer @ sk__2 )
    | ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 )
    | ( xsd_string @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ~ ( cowlThing @ sk__1 )
      | ( cowlNothing @ sk__1 )
      | ( xsd_string @ sk__2 )
      | ~ ( xsd_integer @ sk__2 )
      | ~ ( rp @ sk__3 @ X0 )
      | ( rp @ sk__4 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ( rp @ sk__4 @ sk__5 )
    | ~ ( xsd_integer @ sk__2 )
    | ~ ( cowlThing @ sk__1 )
    | ( cowlNothing @ sk__1 )
    | ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 )
    | ( xsd_string @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(axiom_0,axiom,
    ! [X: $i] :
      ( ~ ( cowlNothing @ X )
      & ( cowlThing @ X ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] : ( cowlThing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl34,plain,
    ( ~ ( cowlThing @ sk__1 )
   <= ~ ( cowlThing @ sk__1 ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf('16',plain,
    cowlThing @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl34]) ).

thf(zip_derived_cl80,plain,
    ( ( xsd_string @ sk__2 )
   <= ( xsd_string @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( xsd_integer @ X0 )
      | ~ ( xsd_string @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

thf(zip_derived_cl146,plain,
    ( ~ ( xsd_integer @ sk__2 )
   <= ( xsd_string @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl9]) ).

thf(zip_derived_cl31,plain,
    ( ( xsd_integer @ sk__2 )
   <= ( xsd_integer @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf('17',plain,
    ( ~ ( xsd_integer @ sk__2 )
    | ~ ( xsd_string @ sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl31]) ).

thf(zip_derived_cl33,plain,
    ( ( cowlNothing @ sk__1 )
   <= ( cowlNothing @ sk__1 ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ~ ( cowlNothing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf('18',plain,
    ~ ( cowlNothing @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl8]) ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cc @ X )
     => ( ? [Y0: $i] : ( rp @ X @ Y0 )
        & ! [Y0: $i,Y1: $i] :
            ( ( ( rp @ X @ Y0 )
              & ( rp @ X @ Y1 ) )
           => ( Y0 = Y1 ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( rp @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cc @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ~ ( cowlThing @ sk__1 )
      | ( cowlNothing @ sk__1 )
      | ~ ( xsd_string @ sk__2 )
      | ( xsd_integer @ sk__2 )
      | ~ ( rp @ sk__3 @ X0 )
      | ( cc @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53,plain,
    ( ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 )
   <= ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl153,plain,
    ( ~ ( cc @ sk__3 )
   <= ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl53]) ).

thf(zip_derived_cl30,plain,
    ( ( cc @ sk__3 )
   <= ( cc @ sk__3 ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf('19',plain,
    ( ~ ! [X0: $i] :
          ~ ( rp @ sk__3 @ X0 )
    | ~ ( cc @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl153,zip_derived_cl30]) ).

thf('20',plain,
    ( ( cc @ sk__4 )
    | ! [X0: $i] :
        ~ ( rp @ sk__3 @ X0 )
    | ~ ( cowlThing @ sk__1 )
    | ~ ( xsd_string @ sk__2 )
    | ( cowlNothing @ sk__1 )
    | ( xsd_integer @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl35,plain,
    ( ( rp @ sk__4 @ sk__5 )
   <= ( rp @ sk__4 @ sk__5 ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rp @ X2 @ X0 )
      | ~ ( rp @ X2 @ X1 )
      | ~ ( cc @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl162,plain,
    ( ! [X0: $i] :
        ( ( X0 = sk__5 )
        | ~ ( rp @ sk__4 @ X0 )
        | ~ ( cc @ sk__4 ) )
   <= ( rp @ sk__4 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl12]) ).

thf('21',plain,
    ( ! [X0: $i] :
        ( ( X0 = sk__5 )
        | ~ ( rp @ sk__4 @ X0 ) )
    | ~ ( cc @ sk__4 )
    | ~ ( rp @ sk__4 @ sk__5 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl164,plain,
    ( ! [X0: $i] :
        ( ( X0 = sk__5 )
        | ~ ( rp @ sk__4 @ X0 ) )
   <= ! [X0: $i] :
        ( ( X0 = sk__5 )
        | ~ ( rp @ sk__4 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl41,plain,
    ( ( rp @ sk__4 @ sk__6 )
   <= ( rp @ sk__4 @ sk__6 ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl168,plain,
    ( ( sk__6 = sk__5 )
   <= ( ( rp @ sk__4 @ sk__6 )
      & ! [X0: $i] :
          ( ( X0 = sk__5 )
          | ~ ( rp @ sk__4 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl41]) ).

thf(zip_derived_cl47,plain,
    ( ( sk__5 != sk__6 )
   <= ( sk__5 != sk__6 ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl173,plain,
    ( ( sk__5 != sk__5 )
   <= ( ( sk__5 != sk__6 )
      & ( rp @ sk__4 @ sk__6 )
      & ! [X0: $i] :
          ( ( X0 = sk__5 )
          | ~ ( rp @ sk__4 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl47]) ).

thf('22',plain,
    ( ~ ! [X0: $i] :
          ( ( X0 = sk__5 )
          | ~ ( rp @ sk__4 @ X0 ) )
    | ~ ( rp @ sk__4 @ sk__6 )
    | ( sk__5 = sk__6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl173]) ).

thf(zip_derived_cl175,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : KRS142+1 : TPTP v9.2.0. Released v3.1.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bkTomCtfyE true
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 11:50:53 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % Solved by fo/fo1_av.sh.
% 0.57/0.77  % done 123 iterations in 0.015s
% 0.57/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.77  % SZS output start Refutation
% See solution above
% 0.57/0.77  
% 0.57/0.77  
% 0.57/0.77  % Terminating...
% 1.63/0.86  % Runner terminated.
% 1.63/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------