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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV491+4 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iwkcqJ9zHW true

% Computer : n005.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 05:01:18 PM UTC 2025

% Result   : Theorem 257.04s 56.31s
% Output   : Refutation 257.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   71 (  22 unt;   0 typ;   0 def)
%            Number of atoms       :  242 (  82 equ;   0 cnn)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  761 ( 144   ~; 137   |;  19   &; 446   @)
%                                         (   2 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   90 (   0   ^;  89   !;   1   ?;  90   :)

% Comments : 
%------------------------------------------------------------------------------
thf(int_one_type,type,
    int_one: $i ).

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

thf(int_less_type,type,
    int_less: $i > $i > $o ).

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

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

thf(real_zero_type,type,
    real_zero: $i ).

thf(int_leq_type,type,
    int_leq: $i > $i > $o ).

thf(n_type,type,
    n: $i ).

thf(a_type,type,
    a: $i > $i > $i ).

thf(real_one_type,type,
    real_one: $i ).

thf(plus_type,type,
    plus: $i > $i > $i ).

thf(int_zero_type,type,
    int_zero: $i ).

thf(id,conjecture,
    ! [I: $i,J: $i] :
      ( ( ( int_leq @ int_one @ I )
        & ( int_leq @ I @ n )
        & ( int_leq @ int_one @ J )
        & ( int_leq @ J @ n ) )
     => ( ( ( I != J )
         => ( ( a @ I @ J )
            = real_zero ) )
        & ( ( I = J )
         => ( ( a @ I @ J )
            = real_one ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [I: $i,J: $i] :
        ( ( ( int_leq @ int_one @ I )
          & ( int_leq @ I @ n )
          & ( int_leq @ int_one @ J )
          & ( int_leq @ J @ n ) )
       => ( ( ( I != J )
           => ( ( a @ I @ J )
              = real_zero ) )
          & ( ( I = J )
           => ( ( a @ I @ J )
              = real_one ) ) ) ),
    inference('cnf.neg',[status(esa)],[id]) ).

thf(zip_derived_cl25,plain,
    int_leq @ int_one @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(qii,axiom,
    ! [I: $i,J: $i] :
      ( ( ( int_leq @ int_one @ I )
        & ( int_leq @ I @ n )
        & ( int_leq @ int_one @ J )
        & ( int_leq @ J @ n ) )
     => ( ! [C: $i] :
            ( ( ( int_less @ int_zero @ C )
              & ( I
                = ( plus @ J @ C ) ) )
           => ! [K: $i] :
                ( ( ( int_leq @ int_one @ K )
                  & ( int_leq @ K @ J ) )
               => ( ( a @ ( plus @ K @ C ) @ K )
                  = real_zero ) ) )
        & ! [K: $i] :
            ( ( ( int_leq @ int_one @ K )
              & ( int_leq @ K @ J ) )
           => ( ( a @ K @ K )
              = real_one ) )
        & ! [C: $i] :
            ( ( ( int_less @ int_zero @ C )
              & ( J
                = ( plus @ I @ C ) ) )
           => ! [K: $i] :
                ( ( ( int_leq @ int_one @ K )
                  & ( int_leq @ K @ I ) )
               => ( ( a @ K @ ( plus @ K @ C ) )
                  = real_zero ) ) ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ n )
      | ( ( a @ X2 @ X2 )
        = real_one )
      | ~ ( int_leq @ X2 @ X1 )
      | ~ ( int_leq @ int_one @ X2 ) ),
    inference(cnf,[status(esa)],[qii]) ).

thf(zip_derived_cl133,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ X0 )
      | ( ( a @ X1 @ X1 )
        = real_one )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ int_one @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n )
      | ( ( a @ X1 @ X1 )
        = real_one )
      | ~ ( int_leq @ X1 @ X0 )
      | ~ ( int_leq @ int_one @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i] :
      ( ~ ( int_leq @ sk__1 @ n )
      | ( ( a @ X0 @ X0 )
        = real_one )
      | ~ ( int_leq @ X0 @ sk__1 )
      | ~ ( int_leq @ int_one @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl134]) ).

thf(zip_derived_cl26,plain,
    int_leq @ sk__1 @ n,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146,plain,
    ! [X0: $i] :
      ( ( ( a @ X0 @ X0 )
        = real_one )
      | ~ ( int_leq @ X0 @ sk__1 )
      | ~ ( int_leq @ int_one @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl26]) ).

thf(zip_derived_cl21,plain,
    ( ( sk__1 != sk__2 )
    | ( ( a @ sk__1 @ sk__2 )
     != real_one ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(int_leq,axiom,
    ! [I: $i,J: $i] :
      ( ( int_leq @ I @ J )
    <=> ( ( int_less @ I @ J )
        | ( I = J ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( int_less @ X1 @ X0 )
      | ~ ( int_leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[int_leq]) ).

thf(plus_and_inverse,axiom,
    ! [I: $i,J: $i] :
      ( ( int_less @ I @ J )
    <=> ? [K: $i] :
          ( ( int_less @ int_zero @ K )
          & ( ( plus @ I @ K )
            = J ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( plus @ X1 @ ( sk_ @ X0 @ X1 ) )
        = X0 )
      | ~ ( int_less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[plus_and_inverse]) ).

thf(int_less_total,axiom,
    ! [I: $i,J: $i] :
      ( ( int_leq @ J @ I )
      | ( int_less @ I @ J ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( int_leq @ X0 @ X1 )
      | ( int_less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[int_less_total]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( int_leq @ X0 @ X1 )
      | ~ ( int_less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[int_leq]) ).

thf(zip_derived_cl177,plain,
    ! [X0: $i,X1: $i] :
      ( ( int_leq @ X0 @ X1 )
      | ( int_leq @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl235,plain,
    ! [X0: $i] : ( int_leq @ X0 @ X0 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl177]) ).

thf(zip_derived_cl26_001,plain,
    int_leq @ sk__1 @ n,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ n )
      | ~ ( int_leq @ int_one @ X2 )
      | ~ ( int_leq @ X2 @ X1 )
      | ( ( a @ ( plus @ X2 @ X3 ) @ X2 )
        = real_zero )
      | ( X0
       != ( plus @ X1 @ X3 ) )
      | ~ ( int_less @ int_zero @ X3 ) ),
    inference(cnf,[status(esa)],[qii]) ).

thf(zip_derived_cl269,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( int_leq @ int_one @ sk__1 )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ X0 )
      | ( ( a @ ( plus @ X1 @ X2 ) @ X1 )
        = real_zero )
      | ( sk__1
       != ( plus @ X0 @ X2 ) )
      | ~ ( int_less @ int_zero @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl18]) ).

thf(zip_derived_cl25_002,plain,
    int_leq @ int_one @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ X0 )
      | ( ( a @ ( plus @ X1 @ X2 ) @ X1 )
        = real_zero )
      | ( sk__1
       != ( plus @ X0 @ X2 ) )
      | ~ ( int_less @ int_zero @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl25]) ).

thf(zip_derived_cl408,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ( ( a @ ( plus @ X0 @ X1 ) @ X0 )
        = real_zero )
      | ( sk__1
       != ( plus @ X0 @ X1 ) )
      | ~ ( int_less @ int_zero @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl235,zip_derived_cl271]) ).

thf(zip_derived_cl421,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_less @ int_zero @ X1 )
      | ( sk__1
       != ( plus @ X0 @ X1 ) )
      | ( ( a @ ( plus @ X0 @ X1 ) @ X0 )
        = real_zero )
      | ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl408]) ).

thf(zip_derived_cl1500,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_less @ X1 @ X0 )
      | ~ ( int_less @ int_zero @ ( sk_ @ X0 @ X1 ) )
      | ( sk__1 != X0 )
      | ( ( a @ X0 @ X1 )
        = real_zero )
      | ~ ( int_leq @ X1 @ n )
      | ~ ( int_leq @ int_one @ X1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl421]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( int_less @ int_zero @ ( sk_ @ X0 @ X1 ) )
      | ~ ( int_less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[plus_and_inverse]) ).

thf(zip_derived_cl7537,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ n )
      | ( ( a @ X0 @ X1 )
        = real_zero )
      | ( sk__1 != X0 )
      | ~ ( int_less @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1500,zip_derived_cl10]) ).

thf(zip_derived_cl20,plain,
    ( ( ( a @ sk__1 @ sk__2 )
     != real_zero )
    | ( sk__1 = sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7564,plain,
    ( ~ ( int_less @ sk__2 @ sk__1 )
    | ( sk__1 != sk__1 )
    | ~ ( int_leq @ sk__2 @ n )
    | ~ ( int_leq @ int_one @ sk__2 )
    | ( real_zero != real_zero )
    | ( sk__1 = sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7537,zip_derived_cl20]) ).

thf(zip_derived_cl23,plain,
    int_leq @ sk__2 @ n,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    int_leq @ int_one @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7631,plain,
    ( ~ ( int_less @ sk__2 @ sk__1 )
    | ( sk__1 != sk__1 )
    | ( real_zero != real_zero )
    | ( sk__1 = sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7564,zip_derived_cl23,zip_derived_cl24]) ).

thf(zip_derived_cl7632,plain,
    ( ( sk__1 = sk__2 )
    | ~ ( int_less @ sk__2 @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7631]) ).

thf(int_less_irreflexive,axiom,
    ! [I: $i,J: $i] :
      ( ( int_less @ I @ J )
     => ( I != J ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( int_less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[int_less_irreflexive]) ).

thf(zip_derived_cl7668,plain,
    ~ ( int_less @ sk__2 @ sk__1 ),
    inference(clc,[status(thm)],[zip_derived_cl7632,zip_derived_cl4]) ).

thf(zip_derived_cl7675,plain,
    ( ~ ( int_leq @ sk__2 @ sk__1 )
    | ( sk__2 = sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7668]) ).

thf(zip_derived_cl11_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( plus @ X1 @ ( sk_ @ X0 @ X1 ) )
        = X0 )
      | ~ ( int_less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[plus_and_inverse]) ).

thf(zip_derived_cl235_004,plain,
    ! [X0: $i] : ( int_leq @ X0 @ X0 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl177]) ).

thf(zip_derived_cl24_005,plain,
    int_leq @ int_one @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ n )
      | ~ ( int_leq @ int_one @ X2 )
      | ~ ( int_leq @ X2 @ X0 )
      | ( ( a @ X2 @ ( plus @ X2 @ X3 ) )
        = real_zero )
      | ( X1
       != ( plus @ X0 @ X3 ) )
      | ~ ( int_less @ int_zero @ X3 ) ),
    inference(cnf,[status(esa)],[qii]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ sk__2 @ n )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ X0 )
      | ( ( a @ X1 @ ( plus @ X1 @ X2 ) )
        = real_zero )
      | ( sk__2
       != ( plus @ X0 @ X2 ) )
      | ~ ( int_less @ int_zero @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl16]) ).

thf(zip_derived_cl23_006,plain,
    int_leq @ sk__2 @ n,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ X0 )
      | ( ( a @ X1 @ ( plus @ X1 @ X2 ) )
        = real_zero )
      | ( sk__2
       != ( plus @ X0 @ X2 ) )
      | ~ ( int_less @ int_zero @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl262,zip_derived_cl23]) ).

thf(zip_derived_cl354,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_leq @ X0 @ n )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ int_one @ X0 )
      | ( ( a @ X0 @ ( plus @ X0 @ X1 ) )
        = real_zero )
      | ( sk__2
       != ( plus @ X0 @ X1 ) )
      | ~ ( int_less @ int_zero @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl235,zip_derived_cl264]) ).

thf(zip_derived_cl364,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_less @ int_zero @ X1 )
      | ( sk__2
       != ( plus @ X0 @ X1 ) )
      | ( ( a @ X0 @ ( plus @ X0 @ X1 ) )
        = real_zero )
      | ~ ( int_leq @ int_one @ X0 )
      | ~ ( int_leq @ X0 @ n ) ),
    inference(simplify,[status(thm)],[zip_derived_cl354]) ).

thf(zip_derived_cl999,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_less @ X1 @ X0 )
      | ~ ( int_less @ int_zero @ ( sk_ @ X0 @ X1 ) )
      | ( sk__2 != X0 )
      | ( ( a @ X1 @ X0 )
        = real_zero )
      | ~ ( int_leq @ int_one @ X1 )
      | ~ ( int_leq @ X1 @ n ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl364]) ).

thf(zip_derived_cl10_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( int_less @ int_zero @ ( sk_ @ X0 @ X1 ) )
      | ~ ( int_less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[plus_and_inverse]) ).

thf(zip_derived_cl4482,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( int_leq @ X1 @ n )
      | ~ ( int_leq @ int_one @ X1 )
      | ( ( a @ X1 @ X0 )
        = real_zero )
      | ( sk__2 != X0 )
      | ~ ( int_less @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl999,zip_derived_cl10]) ).

thf(zip_derived_cl20_008,plain,
    ( ( ( a @ sk__1 @ sk__2 )
     != real_zero )
    | ( sk__1 = sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4505,plain,
    ( ~ ( int_less @ sk__1 @ sk__2 )
    | ( sk__2 != sk__2 )
    | ~ ( int_leq @ int_one @ sk__1 )
    | ~ ( int_leq @ sk__1 @ n )
    | ( real_zero != real_zero )
    | ( sk__1 = sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4482,zip_derived_cl20]) ).

thf(zip_derived_cl25_009,plain,
    int_leq @ int_one @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_010,plain,
    int_leq @ sk__1 @ n,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4551,plain,
    ( ~ ( int_less @ sk__1 @ sk__2 )
    | ( sk__2 != sk__2 )
    | ( real_zero != real_zero )
    | ( sk__1 = sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4505,zip_derived_cl25,zip_derived_cl26]) ).

thf(zip_derived_cl4552,plain,
    ( ( sk__1 = sk__2 )
    | ~ ( int_less @ sk__1 @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4551]) ).

thf(zip_derived_cl4_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( int_less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[int_less_irreflexive]) ).

thf(zip_derived_cl4707,plain,
    ~ ( int_less @ sk__1 @ sk__2 ),
    inference(clc,[status(thm)],[zip_derived_cl4552,zip_derived_cl4]) ).

thf(zip_derived_cl5_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( int_leq @ X0 @ X1 )
      | ( int_less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[int_less_total]) ).

thf(zip_derived_cl4709,plain,
    int_leq @ sk__2 @ sk__1,
    inference('s_sup+',[status(thm)],[zip_derived_cl4707,zip_derived_cl5]) ).

thf(zip_derived_cl7681,plain,
    sk__2 = sk__1,
    inference(demod,[status(thm)],[zip_derived_cl7675,zip_derived_cl4709]) ).

thf(zip_derived_cl7681_013,plain,
    sk__2 = sk__1,
    inference(demod,[status(thm)],[zip_derived_cl7675,zip_derived_cl4709]) ).

thf(zip_derived_cl7688,plain,
    ( ( sk__1 != sk__1 )
    | ( ( a @ sk__1 @ sk__1 )
     != real_one ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl7681,zip_derived_cl7681]) ).

thf(zip_derived_cl7689,plain,
    ( ( a @ sk__1 @ sk__1 )
   != real_one ),
    inference(simplify,[status(thm)],[zip_derived_cl7688]) ).

thf(zip_derived_cl7851,plain,
    ( ~ ( int_leq @ int_one @ sk__1 )
    | ~ ( int_leq @ sk__1 @ sk__1 )
    | ( real_one != real_one ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl7689]) ).

thf(zip_derived_cl25_014,plain,
    int_leq @ int_one @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl235_015,plain,
    ! [X0: $i] : ( int_leq @ X0 @ X0 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl177]) ).

thf(zip_derived_cl7871,plain,
    real_one != real_one,
    inference(demod,[status(thm)],[zip_derived_cl7851,zip_derived_cl25,zip_derived_cl235]) ).

thf(zip_derived_cl7872,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl7871]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.80  % Problem  : SWV491+4 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.88  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iwkcqJ9zHW true
% 0.11/1.21  % Computer : n005.cluster.edu
% 0.11/1.21  % Model    : x86_64 x86_64
% 0.11/1.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.21  % Memory   : 8042.1875MB
% 0.11/1.21  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/1.21  % CPULimit : 300
% 0.11/1.21  % WCLimit  : 300
% 0.11/1.21  % DateTime : Wed Oct  1 12:51:09 EDT 2025
% 0.11/1.22  % CPUTime  : 
% 0.11/1.22  % Running portfolio for 300 s
% 0.11/1.22  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/1.25  % Number of cores: 8
% 0.14/1.26  % Python version: Python 3.6.8
% 0.14/1.27  % Running in FO mode
% 0.14/1.62  % Total configuration time : 435
% 0.14/1.62  % Estimated wc time : 1092
% 0.14/1.62  % Estimated cpu time (7 cpus) : 156.0
% 0.48/1.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/1.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/1.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/1.86  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.83/1.90  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.83/1.90  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.83/1.92  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 229.40/51.83  % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 229.40/51.84  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 230.43/52.03  % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 257.04/56.31  % Solved by fo/fo17_bce.sh.
% 257.04/56.31  % BCE start: 27
% 257.04/56.31  % BCE eliminated: 0
% 257.04/56.31  % PE start: 27
% 257.04/56.31  logic: eq
% 257.04/56.31  % PE eliminated: 0
% 257.04/56.31  % done 1457 iterations in 4.414s
% 257.04/56.31  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 257.04/56.31  % SZS output start Refutation
% See solution above
% 257.04/56.31  
% 257.04/56.31  
% 257.04/56.31  % Terminating...
% 258.24/56.53  % Runner terminated.
% 258.24/56.56  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------