TSTP Solution File: SEU856^5 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SEU856^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n023.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 : Tue May 21 03:44:05 EDT 2024

% Result   : Theorem 22.46s 4.67s
% Output   : Refutation 22.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   59
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   91 (  13 unt;   5 typ;   0 def)
%            Number of atoms       :  421 (  83 equ;   0 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :  632 ( 127   ~; 165   |;  22   &; 318   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :   66 (  18   ^  48   !;   0   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk1_type,type,
    sk1: a > $o ).

thf(sk2_type,type,
    sk2: a > $o ).

thf(sk5_type,type,
    sk5: a ).

thf(sk6_type,type,
    sk6: a ).

thf(1,conjecture,
    ! [A: a > $o,B: a > $o] :
      ( ( A = B )
      = ( ( ^ [C: a] :
              ( ( ( B @ C )
                & ~ ( A @ C ) )
              | ( ( A @ C )
                & ~ ( B @ C ) ) ) )
        = ( ^ [C: a] : $false ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cGAZING_THM46_pme) ).

thf(2,negated_conjecture,
    ~ ! [A: a > $o,B: a > $o] :
        ( ( A = B )
        = ( ( ^ [C: a] :
                ( ( ( B @ C )
                  & ~ ( A @ C ) )
                | ( ( A @ C )
                  & ~ ( B @ C ) ) ) )
          = ( ^ [C: a] : $false ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: a > $o,B: a > $o] :
        ( ( A = B )
        = ( ( ^ [C: a] :
                ( ( ( B @ C )
                  & ~ ( A @ C ) )
                | ( ( A @ C )
                  & ~ ( B @ C ) ) ) )
          = ( ^ [C: a] : $false ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ( ( sk1 = sk2 )
   != ( ( ^ [A: a] :
            ( ( ( sk2 @ A )
              & ~ ( sk1 @ A ) )
            | ( ( sk1 @ A )
              & ~ ( sk2 @ A ) ) ) )
      = ( ^ [A: a] : $false ) ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ( ^ [A: a] :
            ( ( ( sk2 @ A )
              & ~ ( sk1 @ A ) )
            | ( ( sk1 @ A )
              & ~ ( sk2 @ A ) ) ) )
      = ( ^ [A: a] : $false ) )
   != ( sk1 = sk2 ) ),
    inference(lifteq,[status(thm)],[4]) ).

thf(8,plain,
    ( ( ( ^ [A: a] :
            ( ( ( sk2 @ A )
              & ~ ( sk1 @ A ) )
            | ( ( sk1 @ A )
              & ~ ( sk2 @ A ) ) ) )
      = ( ^ [A: a] : $false ) )
    | ( sk1 = sk2 ) ),
    inference(bool_ext,[status(thm)],[5]) ).

thf(10,plain,
    ( ( ( ^ [A: a] :
            ( ( ( sk2 @ A )
              & ~ ( sk1 @ A ) )
            | ( ( sk1 @ A )
              & ~ ( sk2 @ A ) ) ) )
      = ( ^ [A: a] : $false ) )
    | ( sk2 = sk1 ) ),
    inference(lifteq,[status(thm)],[8]) ).

thf(17,plain,
    ! [B: a,A: a] :
      ( ~ ( ( ( sk2 @ A )
            & ~ ( sk1 @ A ) )
          | ( ( sk1 @ A )
            & ~ ( sk2 @ A ) ) )
      | ( ( sk2 @ B )
        = ( sk1 @ B ) ) ),
    inference(func_ext,[status(esa)],[10]) ).

thf(25,plain,
    ! [B: a,A: a] :
      ( ( ( sk2 @ B )
        = ( sk1 @ B ) )
      | ~ ( sk1 @ A )
      | ( sk2 @ A ) ),
    inference(cnf,[status(esa)],[17]) ).

thf(7,plain,
    ( ( ( ^ [A: a] :
            ( ( ( sk2 @ A )
              & ~ ( sk1 @ A ) )
            | ( ( sk1 @ A )
              & ~ ( sk2 @ A ) ) ) )
     != ( ^ [A: a] : $false ) )
    | ( sk1 != sk2 ) ),
    inference(bool_ext,[status(thm)],[5]) ).

thf(9,plain,
    ( ( ( ^ [A: a] :
            ( ( ( sk2 @ A )
              & ~ ( sk1 @ A ) )
            | ( ( sk1 @ A )
              & ~ ( sk2 @ A ) ) ) )
     != ( ^ [A: a] : $false ) )
    | ( sk2 != sk1 ) ),
    inference(lifteq,[status(thm)],[7]) ).

thf(12,plain,
    ( ( ( sk2 @ sk5 )
      & ~ ( sk1 @ sk5 ) )
    | ( ( sk1 @ sk5 )
      & ~ ( sk2 @ sk5 ) )
    | ( ( sk2 @ sk6 )
     != ( sk1 @ sk6 ) ) ),
    inference(func_ext,[status(esa)],[9]) ).

thf(16,plain,
    ( ( ( sk2 @ sk6 )
     != ( sk1 @ sk6 ) )
    | ~ ( sk1 @ sk5 )
    | ~ ( sk2 @ sk5 ) ),
    inference(cnf,[status(esa)],[12]) ).

thf(13,plain,
    ( ( ( sk2 @ sk6 )
     != ( sk1 @ sk6 ) )
    | ( sk2 @ sk5 )
    | ( sk1 @ sk5 ) ),
    inference(cnf,[status(esa)],[12]) ).

thf(33,plain,
    ( ( sk2 @ sk5 )
    | ( sk1 @ sk5 )
    | ( sk2 @ sk6 )
    | ( sk1 @ sk6 ) ),
    inference(bool_ext,[status(thm)],[13]) ).

thf(26,plain,
    ! [B: a,A: a] :
      ( ( ( sk2 @ B )
        = ( sk1 @ B ) )
      | ~ ( sk2 @ A )
      | ( sk1 @ A ) ),
    inference(cnf,[status(esa)],[17]) ).

thf(522,plain,
    ! [B: a,A: a] :
      ( ( sk2 @ sk5 )
      | ( sk1 @ sk5 )
      | ( sk1 @ sk6 )
      | ( ( sk2 @ B )
        = ( sk1 @ B ) )
      | ( sk1 @ A )
      | ( ( sk2 @ sk6 )
       != ( sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[33,26]) ).

thf(523,plain,
    ! [A: a] :
      ( ( sk2 @ sk5 )
      | ( sk1 @ sk5 )
      | ( sk1 @ sk6 )
      | ( ( sk2 @ A )
        = ( sk1 @ A ) )
      | ( sk1 @ sk6 ) ),
    inference(pattern_uni,[status(thm)],[522:[bind(A,$thf( sk6 ))]]) ).

thf(580,plain,
    ! [A: a] :
      ( ( sk2 @ sk5 )
      | ( sk1 @ sk5 )
      | ( sk1 @ sk6 )
      | ( ( sk2 @ A )
        = ( sk1 @ A ) ) ),
    inference(simp,[status(thm)],[523]) ).

thf(1091,plain,
    ! [A: a] :
      ( ( sk2 @ sk5 )
      | ( sk1 @ sk5 )
      | ( sk1 @ sk6 )
      | ( ( sk1 @ A )
       != ( sk1 @ sk6 ) )
      | ( ( sk2 @ A )
       != ( sk2 @ sk6 ) ) ),
    inference(paramod_ordered,[status(thm)],[580,13]) ).

thf(1092,plain,
    ( ( sk2 @ sk5 )
    | ( sk1 @ sk5 )
    | ( sk1 @ sk6 )
    | ( ( sk1 @ sk6 )
     != ( sk1 @ sk6 ) ) ),
    inference(pattern_uni,[status(thm)],[1091:[bind(A,$thf( sk6 ))]]) ).

thf(1201,plain,
    ( ( sk2 @ sk5 )
    | ( sk1 @ sk5 )
    | ( sk1 @ sk6 ) ),
    inference(simp,[status(thm)],[1092]) ).

thf(1248,plain,
    ! [B: a,A: a] :
      ( ( sk1 @ sk5 )
      | ( sk1 @ sk6 )
      | ( ( sk2 @ B )
        = ( sk1 @ B ) )
      | ( sk1 @ A )
      | ( ( sk2 @ sk5 )
       != ( sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1201,26]) ).

thf(1249,plain,
    ! [A: a] :
      ( ( sk1 @ sk5 )
      | ( sk1 @ sk6 )
      | ( ( sk2 @ A )
        = ( sk1 @ A ) )
      | ( sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[1248:[bind(A,$thf( sk5 ))]]) ).

thf(1259,plain,
    ! [A: a] :
      ( ( sk1 @ sk5 )
      | ( sk1 @ sk6 )
      | ( ( sk2 @ A )
        = ( sk1 @ A ) ) ),
    inference(simp,[status(thm)],[1249]) ).

thf(1439,plain,
    ! [A: a] :
      ( ( sk1 @ sk5 )
      | ( sk1 @ sk6 )
      | ( sk1 @ A )
      | ( ( sk2 @ sk5 )
       != ( sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1201,1259]) ).

thf(1440,plain,
    ( ( sk1 @ sk5 )
    | ( sk1 @ sk6 )
    | ( sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[1439:[bind(A,$thf( sk5 ))]]) ).

thf(1499,plain,
    ( ( sk1 @ sk5 )
    | ( sk1 @ sk6 ) ),
    inference(simp,[status(thm)],[1440]) ).

thf(1507,plain,
    ! [B: a,A: a] :
      ( ( sk1 @ sk5 )
      | ( ( sk2 @ B )
        = ( sk1 @ B ) )
      | ( sk2 @ A )
      | ( ( sk1 @ sk6 )
       != ( sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1499,25]) ).

thf(1508,plain,
    ! [A: a] :
      ( ( sk1 @ sk5 )
      | ( ( sk2 @ A )
        = ( sk1 @ A ) )
      | ( sk2 @ sk6 ) ),
    inference(pattern_uni,[status(thm)],[1507:[bind(A,$thf( sk6 ))]]) ).

thf(1555,plain,
    ! [A: a] :
      ( ( sk1 @ sk5 )
      | ( ( sk2 @ A )
        = ( sk1 @ A ) )
      | ( sk2 @ sk6 ) ),
    inference(simp,[status(thm)],[1508]) ).

thf(1897,plain,
    ! [A: a] :
      ( ( sk1 @ sk5 )
      | ( sk2 @ sk6 )
      | ( ( sk1 @ A )
       != ( sk1 @ sk6 ) )
      | ( sk2 @ sk5 )
      | ( ( sk2 @ A )
       != ( sk2 @ sk6 ) ) ),
    inference(paramod_ordered,[status(thm)],[1555,13]) ).

thf(1898,plain,
    ( ( sk1 @ sk5 )
    | ( sk2 @ sk6 )
    | ( ( sk1 @ sk6 )
     != ( sk1 @ sk6 ) )
    | ( sk2 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[1897:[bind(A,$thf( sk6 ))]]) ).

thf(2017,plain,
    ( ( sk1 @ sk5 )
    | ( sk2 @ sk6 )
    | ( sk2 @ sk5 ) ),
    inference(simp,[status(thm)],[1898]) ).

thf(32,plain,
    ( ( sk2 @ sk5 )
    | ( sk1 @ sk5 )
    | ~ ( sk2 @ sk6 )
    | ~ ( sk1 @ sk6 ) ),
    inference(bool_ext,[status(thm)],[13]) ).

thf(1516,plain,
    ( ( sk1 @ sk5 )
    | ( sk2 @ sk5 )
    | ~ ( sk2 @ sk6 )
    | ( ( sk1 @ sk6 )
     != ( sk1 @ sk6 ) ) ),
    inference(paramod_ordered,[status(thm)],[1499,32]) ).

thf(1517,plain,
    ( ( sk1 @ sk5 )
    | ( sk2 @ sk5 )
    | ~ ( sk2 @ sk6 ) ),
    inference(pattern_uni,[status(thm)],[1516:[]]) ).

thf(2033,plain,
    ( ( sk1 @ sk5 )
    | ( sk2 @ sk5 )
    | ( ( sk2 @ sk6 )
     != ( sk2 @ sk6 ) ) ),
    inference(paramod_ordered,[status(thm)],[2017,1517]) ).

thf(2034,plain,
    ( ( sk1 @ sk5 )
    | ( sk2 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[2033:[]]) ).

thf(2120,plain,
    ! [B: a,A: a] :
      ( ( sk1 @ sk5 )
      | ( ( sk2 @ B )
        = ( sk1 @ B ) )
      | ( sk1 @ A )
      | ( ( sk2 @ sk5 )
       != ( sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[2034,26]) ).

thf(2121,plain,
    ! [A: a] :
      ( ( sk1 @ sk5 )
      | ( ( sk2 @ A )
        = ( sk1 @ A ) )
      | ( sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[2120:[bind(A,$thf( sk5 ))]]) ).

thf(2139,plain,
    ! [A: a] :
      ( ( sk1 @ sk5 )
      | ( ( sk2 @ A )
        = ( sk1 @ A ) ) ),
    inference(simp,[status(thm)],[2121]) ).

thf(2157,plain,
    ! [A: a] :
      ( ( sk1 @ sk5 )
      | ( sk1 @ A )
      | ( ( sk2 @ A )
       != ( sk2 @ sk5 ) ) ),
    inference(paramod_ordered,[status(thm)],[2139,2034]) ).

thf(2158,plain,
    ( ( sk1 @ sk5 )
    | ( sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[2157:[bind(A,$thf( sk5 ))]]) ).

thf(2246,plain,
    sk1 @ sk5,
    inference(simp,[status(thm)],[2158]) ).

thf(2260,plain,
    ( ( ( sk2 @ sk6 )
     != ( sk1 @ sk6 ) )
    | ~ $true
    | ~ ( sk2 @ sk5 ) ),
    inference(rewrite,[status(thm)],[16,2246]) ).

thf(2261,plain,
    ( ( ( sk2 @ sk6 )
     != ( sk1 @ sk6 ) )
    | ~ ( sk2 @ sk5 ) ),
    inference(simp,[status(thm)],[2260]) ).

thf(2268,plain,
    ! [B: a,A: a] :
      ( ( ( sk2 @ B )
        = ( sk1 @ B ) )
      | ( sk2 @ A )
      | ( ( sk1 @ sk5 )
       != ( sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[2246,25]) ).

thf(2269,plain,
    ! [A: a] :
      ( ( ( sk2 @ A )
        = ( sk1 @ A ) )
      | ( sk2 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[2268:[bind(A,$thf( sk5 ))]]) ).

thf(2286,plain,
    ! [A: a] :
      ( ( ( sk2 @ A )
        = ( sk1 @ A ) )
      | ( sk2 @ sk5 ) ),
    inference(simp,[status(thm)],[2269]) ).

thf(2427,plain,
    ! [A: a] :
      ( ( sk2 @ sk5 )
      | ( ( sk2 @ sk6 )
       != ( sk1 @ sk6 ) )
      | ~ ( sk1 @ A )
      | ( ( sk2 @ A )
       != ( sk2 @ sk5 ) ) ),
    inference(paramod_ordered,[status(thm)],[2286,2261]) ).

thf(2428,plain,
    ( ( sk2 @ sk5 )
    | ( ( sk2 @ sk6 )
     != ( sk1 @ sk6 ) )
    | ~ ( sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[2427:[bind(A,$thf( sk5 ))]]) ).

thf(3205,plain,
    ( ( sk2 @ sk5 )
    | ( ( sk2 @ sk6 )
     != ( sk1 @ sk6 ) )
    | ~ $true ),
    inference(rewrite,[status(thm)],[2428,2246]) ).

thf(3206,plain,
    ( ( sk2 @ sk5 )
    | ( ( sk2 @ sk6 )
     != ( sk1 @ sk6 ) ) ),
    inference(simp,[status(thm)],[3205]) ).

thf(3221,plain,
    ! [A: a] :
      ( ( sk2 @ sk5 )
      | ( ( sk1 @ A )
       != ( sk1 @ sk6 ) )
      | ( ( sk2 @ A )
       != ( sk2 @ sk6 ) ) ),
    inference(paramod_ordered,[status(thm)],[2286,3206]) ).

thf(3222,plain,
    ( ( sk2 @ sk5 )
    | ( ( sk1 @ sk6 )
     != ( sk1 @ sk6 ) ) ),
    inference(pattern_uni,[status(thm)],[3221:[bind(A,$thf( sk6 ))]]) ).

thf(3243,plain,
    sk2 @ sk5,
    inference(simp,[status(thm)],[3222]) ).

thf(3253,plain,
    ( ( ( sk2 @ sk6 )
     != ( sk1 @ sk6 ) )
    | ~ $true ),
    inference(rewrite,[status(thm)],[2261,3243]) ).

thf(3254,plain,
    ( ( sk2 @ sk6 )
   != ( sk1 @ sk6 ) ),
    inference(simp,[status(thm)],[3253]) ).

thf(3294,plain,
    ! [B: a,A: a] :
      ( ~ ( sk1 @ A )
      | ( sk2 @ A )
      | ( ( sk1 @ B )
       != ( sk1 @ sk6 ) )
      | ( ( sk2 @ B )
       != ( sk2 @ sk6 ) ) ),
    inference(paramod_ordered,[status(thm)],[25,3254]) ).

thf(3295,plain,
    ! [A: a] :
      ( ~ ( sk1 @ A )
      | ( sk2 @ A )
      | ( ( sk1 @ sk6 )
       != ( sk1 @ sk6 ) ) ),
    inference(pattern_uni,[status(thm)],[3294:[bind(A,$thf( A )),bind(B,$thf( sk6 ))]]) ).

thf(3321,plain,
    ! [A: a] :
      ( ~ ( sk1 @ A )
      | ( sk2 @ A ) ),
    inference(simp,[status(thm)],[3295]) ).

thf(27,plain,
    ( ~ ( sk1 @ sk5 )
    | ~ ( sk2 @ sk5 )
    | ~ ( sk2 @ sk6 )
    | ~ ( sk1 @ sk6 ) ),
    inference(bool_ext,[status(thm)],[16]) ).

thf(29,plain,
    ( ~ ( sk1 @ sk5 )
    | ~ ( sk2 @ sk5 )
    | ~ ( sk1 @ sk6 )
    | ( ( sk2 @ sk6 )
     != ( sk2 @ sk5 ) )
    | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[27]) ).

thf(30,plain,
    ( ~ ( sk1 @ sk5 )
    | ~ ( sk2 @ sk5 )
    | ~ ( sk1 @ sk6 )
    | ( ( sk2 @ sk6 )
     != ( sk2 @ sk5 ) ) ),
    inference(simp,[status(thm)],[29]) ).

thf(2264,plain,
    ( ~ $true
    | ~ ( sk2 @ sk5 )
    | ~ ( sk1 @ sk6 )
    | ( ( sk2 @ sk6 )
     != ( sk2 @ sk5 ) ) ),
    inference(rewrite,[status(thm)],[30,2246]) ).

thf(2265,plain,
    ( ~ ( sk2 @ sk5 )
    | ~ ( sk1 @ sk6 )
    | ( ( sk2 @ sk6 )
     != ( sk2 @ sk5 ) ) ),
    inference(simp,[status(thm)],[2264]) ).

thf(3245,plain,
    ( ~ $true
    | ~ ( sk1 @ sk6 )
    | ~ ( sk2 @ sk6 ) ),
    inference(rewrite,[status(thm)],[2265,3243]) ).

thf(3246,plain,
    ( ~ ( sk1 @ sk6 )
    | ~ ( sk2 @ sk6 ) ),
    inference(simp,[status(thm)],[3245]) ).

thf(28,plain,
    ( ~ ( sk1 @ sk5 )
    | ~ ( sk2 @ sk5 )
    | ( sk2 @ sk6 )
    | ( sk1 @ sk6 ) ),
    inference(bool_ext,[status(thm)],[16]) ).

thf(2254,plain,
    ( ~ $true
    | ~ ( sk2 @ sk5 )
    | ( sk2 @ sk6 )
    | ( sk1 @ sk6 ) ),
    inference(rewrite,[status(thm)],[28,2246]) ).

thf(2255,plain,
    ( ~ ( sk2 @ sk5 )
    | ( sk2 @ sk6 )
    | ( sk1 @ sk6 ) ),
    inference(simp,[status(thm)],[2254]) ).

thf(3255,plain,
    ( ~ $true
    | ( sk2 @ sk6 )
    | ( sk1 @ sk6 ) ),
    inference(rewrite,[status(thm)],[2255,3243]) ).

thf(3256,plain,
    ( ( sk2 @ sk6 )
    | ( sk1 @ sk6 ) ),
    inference(simp,[status(thm)],[3255]) ).

thf(3310,plain,
    ! [B: a,A: a] :
      ( ~ ( sk2 @ A )
      | ( sk1 @ A )
      | ( ( sk1 @ B )
       != ( sk1 @ sk6 ) )
      | ( ( sk2 @ B )
       != ( sk2 @ sk6 ) ) ),
    inference(paramod_ordered,[status(thm)],[26,3254]) ).

thf(3311,plain,
    ! [A: a] :
      ( ~ ( sk2 @ A )
      | ( sk1 @ A )
      | ( ( sk1 @ sk6 )
       != ( sk1 @ sk6 ) ) ),
    inference(pattern_uni,[status(thm)],[3310:[bind(A,$thf( A )),bind(B,$thf( sk6 ))]]) ).

thf(3320,plain,
    ! [A: a] :
      ( ~ ( sk2 @ A )
      | ( sk1 @ A ) ),
    inference(simp,[status(thm)],[3311]) ).

thf(3411,plain,
    ! [A: a] :
      ( ( sk1 @ sk6 )
      | ( sk1 @ A )
      | ( ( sk2 @ sk6 )
       != ( sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[3256,3320]) ).

thf(3412,plain,
    ( ( sk1 @ sk6 )
    | ( sk1 @ sk6 ) ),
    inference(pattern_uni,[status(thm)],[3411:[bind(A,$thf( sk6 ))]]) ).

thf(3413,plain,
    sk1 @ sk6,
    inference(simp,[status(thm)],[3412]) ).

thf(3416,plain,
    ( ~ $true
    | ~ ( sk2 @ sk6 ) ),
    inference(rewrite,[status(thm)],[3246,3413]) ).

thf(3417,plain,
    ~ ( sk2 @ sk6 ),
    inference(simp,[status(thm)],[3416]) ).

thf(3475,plain,
    ! [A: a] :
      ( ~ ( sk1 @ A )
      | ( ( sk2 @ A )
       != ( sk2 @ sk6 ) ) ),
    inference(paramod_ordered,[status(thm)],[3321,3417]) ).

thf(3476,plain,
    ~ ( sk1 @ sk6 ),
    inference(pattern_uni,[status(thm)],[3475:[bind(A,$thf( sk6 ))]]) ).

thf(3485,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[3476,3413]) ).

thf(3486,plain,
    $false,
    inference(simp,[status(thm)],[3485]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU856^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n023.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sun May 19 15:46:54 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.96/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.14/1.02  % [INFO] 	 Parsing done (148ms). 
% 1.14/1.03  % [INFO] 	 Running in sequential loop mode. 
% 1.63/1.29  % [INFO] 	 nitpick registered as external prover. 
% 1.63/1.29  % [INFO] 	 Scanning for conjecture ... 
% 1.83/1.37  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.94/1.39  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.94/1.39  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.94/1.39  % [INFO] 	 Type checking passed. 
% 1.94/1.39  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 22.46/4.65  % [INFO] 	 Killing All external provers ... 
% 22.46/4.66  % Time passed: 4133ms (effective reasoning time: 3627ms)
% 22.46/4.66  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 22.46/4.67  % Axioms used in derivation (0): 
% 22.46/4.67  % No. of inferences in proof: 86
% 22.46/4.67  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4133 ms resp. 3627 ms w/o parsing
% 22.71/4.87  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.71/4.87  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------