TSTP Solution File: SET752^4 by Leo-III---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.10
% Problem  : SET752^4 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n032.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  7 08:07:58 EDT 2024

% Result   : Theorem 7.24s 2.43s
% Output   : Refutation 7.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   84 (   9 unt;   9 typ;   2 def)
%            Number of atoms       :  296 ( 119 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  619 ( 135   ~; 171   |;  19   &; 294   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   73 (  12   ^  42   !;  19   ?;  73   :)

% Comments : 
%------------------------------------------------------------------------------
thf(union_type,type,
    union: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(union_def,definition,
    ( union
    = ( ^ [A: $i > $o,B: $i > $o,C: $i] :
          ( ( A @ C )
          | ( B @ C ) ) ) ) ).

thf(fun_image_type,type,
    fun_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).

thf(fun_image_def,definition,
    ( fun_image
    = ( ^ [A: $i > $i,B: $i > $o,C: $i] :
        ? [D: $i] :
          ( ( B @ D )
          & ( C
            = ( A @ D ) ) ) ) ) ).

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

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

thf(sk3_type,type,
    sk3: $i > $i ).

thf(sk4_type,type,
    sk4: $i ).

thf(sk5_type,type,
    sk5: $i ).

thf(sk6_type,type,
    sk6: $i ).

thf(sk7_type,type,
    sk7: $i ).

thf(1,conjecture,
    ! [A: $i > $o,B: $i > $o,C: $i > $i] :
      ( ( fun_image @ C @ ( union @ A @ B ) )
      = ( union @ ( fun_image @ C @ A ) @ ( fun_image @ C @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).

thf(2,negated_conjecture,
    ~ ! [A: $i > $o,B: $i > $o,C: $i > $i] :
        ( ( fun_image @ C @ ( union @ A @ B ) )
        = ( union @ ( fun_image @ C @ A ) @ ( fun_image @ C @ B ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

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

thf(4,plain,
    ( ( ^ [A: $i] :
        ? [B: $i] :
          ( ( ( sk1 @ B )
            | ( sk2 @ B ) )
          & ( A
            = ( sk3 @ B ) ) ) )
   != ( ^ [A: $i] :
          ( ? [B: $i] :
              ( ( sk1 @ B )
              & ( A
                = ( sk3 @ B ) ) )
          | ? [B: $i] :
              ( ( sk2 @ B )
              & ( A
                = ( sk3 @ B ) ) ) ) ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ^ [A: $i] :
        ? [B: $i] :
          ( ( ( sk1 @ B )
            | ( sk2 @ B ) )
          & ( A
            = ( sk3 @ B ) ) ) )
   != ( ^ [A: $i] :
          ( ? [B: $i] :
              ( ( sk1 @ B )
              & ( A
                = ( sk3 @ B ) ) )
          | ? [B: $i] :
              ( ( sk2 @ B )
              & ( A
                = ( sk3 @ B ) ) ) ) ) ),
    inference(lifteq,[status(thm)],[4]) ).

thf(6,plain,
    ( ( ? [A: $i] :
          ( ( ( sk1 @ A )
            | ( sk2 @ A ) )
          & ( sk4
            = ( sk3 @ A ) ) ) )
   != ( ? [A: $i] :
          ( ( sk1 @ A )
          & ( sk4
            = ( sk3 @ A ) ) )
      | ? [A: $i] :
          ( ( sk2 @ A )
          & ( sk4
            = ( sk3 @ A ) ) ) ) ),
    inference(func_ext,[status(esa)],[5]) ).

thf(8,plain,
    ( ? [A: $i] :
        ( ( ( sk1 @ A )
          | ( sk2 @ A ) )
        & ( sk4
          = ( sk3 @ A ) ) )
    | ? [A: $i] :
        ( ( sk1 @ A )
        & ( sk4
          = ( sk3 @ A ) ) )
    | ? [A: $i] :
        ( ( sk2 @ A )
        & ( sk4
          = ( sk3 @ A ) ) ) ),
    inference(bool_ext,[status(thm)],[6]) ).

thf(24,plain,
    ( ( sk1 @ sk6 )
    | ( sk2 @ sk7 )
    | ( sk1 @ sk5 )
    | ( sk2 @ sk5 ) ),
    inference(cnf,[status(esa)],[8]) ).

thf(22,plain,
    ( ( sk4
      = ( sk3 @ sk6 ) )
    | ( sk4
      = ( sk3 @ sk7 ) )
    | ( sk4
      = ( sk3 @ sk5 ) ) ),
    inference(cnf,[status(esa)],[8]) ).

thf(29,plain,
    ( ( ( sk3 @ sk6 )
      = sk4 )
    | ( ( sk3 @ sk7 )
      = sk4 )
    | ( ( sk3 @ sk5 )
      = sk4 ) ),
    inference(lifteq,[status(thm)],[22]) ).

thf(21,plain,
    ( ( sk4
      = ( sk3 @ sk6 ) )
    | ( sk2 @ sk7 )
    | ( sk4
      = ( sk3 @ sk5 ) ) ),
    inference(cnf,[status(esa)],[8]) ).

thf(28,plain,
    ( ( ( sk3 @ sk6 )
      = sk4 )
    | ( ( sk3 @ sk5 )
      = sk4 )
    | ( sk2 @ sk7 ) ),
    inference(lifteq,[status(thm)],[21]) ).

thf(36,plain,
    ( ( ( sk3 @ sk5 )
      = sk4 )
    | ( sk2 @ sk7 )
    | ( ( sk3 @ sk6 )
     != ( sk3 @ sk5 ) )
    | ( sk4 != sk4 ) ),
    inference(eqfactor_ordered,[status(thm)],[28]) ).

thf(38,plain,
    ( ( ( sk3 @ sk5 )
      = sk4 )
    | ( sk2 @ sk7 )
    | ( sk6 != sk5 ) ),
    inference(simp,[status(thm)],[36]) ).

thf(7,plain,
    ( ~ ? [A: $i] :
          ( ( ( sk1 @ A )
            | ( sk2 @ A ) )
          & ( sk4
            = ( sk3 @ A ) ) )
    | ~ ( ? [A: $i] :
            ( ( sk1 @ A )
            & ( sk4
              = ( sk3 @ A ) ) )
        | ? [A: $i] :
            ( ( sk2 @ A )
            & ( sk4
              = ( sk3 @ A ) ) ) ) ),
    inference(bool_ext,[status(thm)],[6]) ).

thf(12,plain,
    ! [B: $i,A: $i] :
      ( ~ ( sk1 @ B )
      | ( sk4
       != ( sk3 @ B ) )
      | ~ ( sk1 @ A )
      | ( sk4
       != ( sk3 @ A ) ) ),
    inference(cnf,[status(esa)],[7]) ).

thf(18,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk3 @ B )
       != sk4 )
      | ( ( sk3 @ A )
       != sk4 )
      | ~ ( sk1 @ B )
      | ~ ( sk1 @ A ) ),
    inference(lifteq,[status(thm)],[12]) ).

thf(339,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk3 @ B )
       != sk4 )
      | ~ ( sk1 @ B )
      | ~ ( sk1 @ A )
      | ( ( sk3 @ A )
       != ( sk3 @ B ) )
      | ( sk4 != sk4 ) ),
    inference(eqfactor_ordered,[status(thm)],[18]) ).

thf(340,plain,
    ! [A: $i] :
      ( ( ( sk3 @ A )
       != sk4 )
      | ~ ( sk1 @ A )
      | ~ ( sk1 @ A ) ),
    inference(pattern_uni,[status(thm)],[339:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).

thf(346,plain,
    ! [A: $i] :
      ( ( ( sk3 @ A )
       != sk4 )
      | ~ ( sk1 @ A ) ),
    inference(simp,[status(thm)],[340]) ).

thf(360,plain,
    ! [A: $i] :
      ( ( sk2 @ sk7 )
      | ( sk6 != sk5 )
      | ~ ( sk1 @ A )
      | ( ( sk3 @ sk5 )
       != ( sk3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[38,346]) ).

thf(361,plain,
    ( ( sk2 @ sk7 )
    | ( sk6 != sk5 )
    | ~ ( sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[360:[bind(A,$thf( sk5 ))]]) ).

thf(9,plain,
    ! [B: $i,A: $i] :
      ( ~ ( sk2 @ B )
      | ( sk4
       != ( sk3 @ B ) )
      | ~ ( sk2 @ A )
      | ( sk4
       != ( sk3 @ A ) ) ),
    inference(cnf,[status(esa)],[7]) ).

thf(13,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk3 @ B )
       != sk4 )
      | ( ( sk3 @ A )
       != sk4 )
      | ~ ( sk2 @ B )
      | ~ ( sk2 @ A ) ),
    inference(lifteq,[status(thm)],[9]) ).

thf(14,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk3 @ B )
       != sk4 )
      | ( ( sk3 @ A )
       != sk4 )
      | ~ ( sk2 @ B )
      | ~ ( sk2 @ A ) ),
    inference(simp,[status(thm)],[13]) ).

thf(47,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk3 @ B )
       != sk4 )
      | ~ ( sk2 @ B )
      | ~ ( sk2 @ A )
      | ( ( sk3 @ A )
       != ( sk3 @ B ) )
      | ( sk4 != sk4 ) ),
    inference(eqfactor_ordered,[status(thm)],[14]) ).

thf(48,plain,
    ! [A: $i] :
      ( ( ( sk3 @ A )
       != sk4 )
      | ~ ( sk2 @ A )
      | ~ ( sk2 @ A ) ),
    inference(pattern_uni,[status(thm)],[47:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).

thf(49,plain,
    ! [A: $i] :
      ( ( ( sk3 @ A )
       != sk4 )
      | ~ ( sk2 @ A ) ),
    inference(simp,[status(thm)],[48]) ).

thf(52,plain,
    ! [A: $i] :
      ( ( ( sk3 @ sk5 )
        = sk4 )
      | ( sk2 @ sk7 )
      | ~ ( sk2 @ A )
      | ( ( sk3 @ sk6 )
       != ( sk3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[28,49]) ).

thf(53,plain,
    ( ( ( sk3 @ sk5 )
      = sk4 )
    | ( sk2 @ sk7 )
    | ~ ( sk2 @ sk6 ) ),
    inference(pattern_uni,[status(thm)],[52:[bind(A,$thf( sk6 ))]]) ).

thf(67,plain,
    ! [A: $i] :
      ( ( sk2 @ sk7 )
      | ( sk6 != sk5 )
      | ~ ( sk2 @ A )
      | ( ( sk3 @ sk5 )
       != ( sk3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[38,49]) ).

thf(68,plain,
    ( ( sk2 @ sk7 )
    | ( sk6 != sk5 )
    | ~ ( sk2 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[67:[bind(A,$thf( sk5 ))]]) ).

thf(76,plain,
    ! [A: $i] :
      ( ( sk6 != sk5 )
      | ~ ( sk2 @ sk5 )
      | ( ( sk3 @ A )
       != sk4 )
      | ( ( sk2 @ sk7 )
       != ( sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[68,49]) ).

thf(77,plain,
    ( ( sk6 != sk5 )
    | ~ ( sk2 @ sk5 )
    | ( ( sk3 @ sk7 )
     != sk4 ) ),
    inference(pattern_uni,[status(thm)],[76:[bind(A,$thf( sk7 ))]]) ).

thf(26,plain,
    ( ( sk4
      = ( sk3 @ sk6 ) )
    | ( sk2 @ sk7 )
    | ( sk1 @ sk5 )
    | ( sk2 @ sk5 ) ),
    inference(cnf,[status(esa)],[8]) ).

thf(32,plain,
    ( ( ( sk3 @ sk6 )
      = sk4 )
    | ( sk2 @ sk7 )
    | ( sk1 @ sk5 )
    | ( sk2 @ sk5 ) ),
    inference(lifteq,[status(thm)],[26]) ).

thf(20,plain,
    ( ( sk1 @ sk6 )
    | ( sk4
      = ( sk3 @ sk7 ) )
    | ( sk1 @ sk5 )
    | ( sk2 @ sk5 ) ),
    inference(cnf,[status(esa)],[8]) ).

thf(27,plain,
    ( ( ( sk3 @ sk7 )
      = sk4 )
    | ( sk1 @ sk6 )
    | ( sk1 @ sk5 )
    | ( sk2 @ sk5 ) ),
    inference(lifteq,[status(thm)],[20]) ).

thf(25,plain,
    ( ( sk1 @ sk6 )
    | ( sk2 @ sk7 )
    | ( sk4
      = ( sk3 @ sk5 ) ) ),
    inference(cnf,[status(esa)],[8]) ).

thf(31,plain,
    ( ( ( sk3 @ sk5 )
      = sk4 )
    | ( sk1 @ sk6 )
    | ( sk2 @ sk7 ) ),
    inference(lifteq,[status(thm)],[25]) ).

thf(364,plain,
    ! [A: $i] :
      ( ( sk1 @ sk6 )
      | ( sk2 @ sk7 )
      | ~ ( sk1 @ A )
      | ( ( sk3 @ sk5 )
       != ( sk3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[31,346]) ).

thf(365,plain,
    ( ( sk1 @ sk6 )
    | ( sk2 @ sk7 )
    | ~ ( sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[364:[bind(A,$thf( sk5 ))]]) ).

thf(19,plain,
    ( ( sk1 @ sk6 )
    | ( sk4
      = ( sk3 @ sk7 ) )
    | ( sk4
      = ( sk3 @ sk5 ) ) ),
    inference(cnf,[status(esa)],[8]) ).

thf(30,plain,
    ( ( ( sk3 @ sk7 )
      = sk4 )
    | ( ( sk3 @ sk5 )
      = sk4 )
    | ( sk1 @ sk6 ) ),
    inference(lifteq,[status(thm)],[19]) ).

thf(185,plain,
    ! [A: $i] :
      ( ( ( sk3 @ sk5 )
        = sk4 )
      | ( sk1 @ sk6 )
      | ~ ( sk2 @ A )
      | ( ( sk3 @ sk7 )
       != ( sk3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[30,49]) ).

thf(186,plain,
    ( ( ( sk3 @ sk5 )
      = sk4 )
    | ( sk1 @ sk6 )
    | ~ ( sk2 @ sk7 ) ),
    inference(pattern_uni,[status(thm)],[185:[bind(A,$thf( sk7 ))]]) ).

thf(354,plain,
    ! [A: $i] :
      ( ( sk1 @ sk6 )
      | ~ ( sk2 @ sk7 )
      | ~ ( sk1 @ A )
      | ( ( sk3 @ sk5 )
       != ( sk3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[186,346]) ).

thf(355,plain,
    ( ( sk1 @ sk6 )
    | ~ ( sk2 @ sk7 )
    | ~ ( sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[354:[bind(A,$thf( sk5 ))]]) ).

thf(531,plain,
    ( ( sk1 @ sk6 )
    | ~ ( sk1 @ sk5 )
    | ( ( sk2 @ sk7 )
     != ( sk2 @ sk7 ) ) ),
    inference(paramod_ordered,[status(thm)],[365,355]) ).

thf(532,plain,
    ( ( sk1 @ sk6 )
    | ~ ( sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[531:[]]) ).

thf(556,plain,
    ! [A: $i] :
      ( ~ ( sk1 @ sk5 )
      | ( ( sk3 @ A )
       != sk4 )
      | ( ( sk1 @ sk6 )
       != ( sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[532,346]) ).

thf(557,plain,
    ( ~ ( sk1 @ sk5 )
    | ( ( sk3 @ sk6 )
     != sk4 ) ),
    inference(pattern_uni,[status(thm)],[556:[bind(A,$thf( sk6 ))]]) ).

thf(86,plain,
    ! [A: $i] :
      ( ( sk2 @ sk7 )
      | ~ ( sk2 @ sk6 )
      | ~ ( sk2 @ A )
      | ( ( sk3 @ sk5 )
       != ( sk3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[53,49]) ).

thf(87,plain,
    ( ( sk2 @ sk7 )
    | ~ ( sk2 @ sk6 )
    | ~ ( sk2 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[86:[bind(A,$thf( sk5 ))]]) ).

thf(200,plain,
    ( ( sk1 @ sk6 )
    | ( sk1 @ sk5 )
    | ( sk2 @ sk5 )
    | ( ( sk3 @ sk5 )
      = sk4 )
    | ( ( sk2 @ sk7 )
     != ( sk2 @ sk7 ) ) ),
    inference(paramod_ordered,[status(thm)],[24,186]) ).

thf(201,plain,
    ( ( sk1 @ sk6 )
    | ( sk1 @ sk5 )
    | ( sk2 @ sk5 )
    | ( ( sk3 @ sk5 )
      = sk4 ) ),
    inference(pattern_uni,[status(thm)],[200:[]]) ).

thf(197,plain,
    ( ( ( sk3 @ sk5 )
      = sk4 )
    | ( sk1 @ sk6 )
    | ( ( sk3 @ sk7 )
     != ( sk3 @ sk5 ) )
    | ( sk4 != sk4 ) ),
    inference(eqfactor_ordered,[status(thm)],[30]) ).

thf(199,plain,
    ( ( ( sk3 @ sk5 )
      = sk4 )
    | ( sk1 @ sk6 )
    | ( sk7 != sk5 ) ),
    inference(simp,[status(thm)],[197]) ).

thf(350,plain,
    ! [A: $i] :
      ( ( sk2 @ sk7 )
      | ~ ( sk2 @ sk6 )
      | ~ ( sk1 @ A )
      | ( ( sk3 @ sk5 )
       != ( sk3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[53,346]) ).

thf(351,plain,
    ( ( sk2 @ sk7 )
    | ~ ( sk2 @ sk6 )
    | ~ ( sk1 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[350:[bind(A,$thf( sk5 ))]]) ).

thf(369,plain,
    ! [A: $i] :
      ( ~ ( sk2 @ sk6 )
      | ~ ( sk1 @ sk5 )
      | ( ( sk3 @ A )
       != sk4 )
      | ( ( sk2 @ sk7 )
       != ( sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[351,49]) ).

thf(370,plain,
    ( ~ ( sk2 @ sk6 )
    | ~ ( sk1 @ sk5 )
    | ( ( sk3 @ sk7 )
     != sk4 ) ),
    inference(pattern_uni,[status(thm)],[369:[bind(A,$thf( sk7 ))]]) ).

thf(106,plain,
    ! [A: $i] :
      ( ~ ( sk2 @ sk6 )
      | ~ ( sk2 @ sk5 )
      | ( ( sk3 @ A )
       != sk4 )
      | ( ( sk2 @ sk7 )
       != ( sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[87,49]) ).

thf(107,plain,
    ( ~ ( sk2 @ sk6 )
    | ~ ( sk2 @ sk5 )
    | ( ( sk3 @ sk7 )
     != sk4 ) ),
    inference(pattern_uni,[status(thm)],[106:[bind(A,$thf( sk7 ))]]) ).

thf(54,plain,
    ! [A: $i] :
      ( ( sk1 @ sk6 )
      | ( sk2 @ sk7 )
      | ~ ( sk2 @ A )
      | ( ( sk3 @ sk5 )
       != ( sk3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[31,49]) ).

thf(55,plain,
    ( ( sk1 @ sk6 )
    | ( sk2 @ sk7 )
    | ~ ( sk2 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[54:[bind(A,$thf( sk5 ))]]) ).

thf(207,plain,
    ! [A: $i] :
      ( ( sk1 @ sk6 )
      | ~ ( sk2 @ sk7 )
      | ~ ( sk2 @ A )
      | ( ( sk3 @ sk5 )
       != ( sk3 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[186,49]) ).

thf(208,plain,
    ( ( sk1 @ sk6 )
    | ~ ( sk2 @ sk7 )
    | ~ ( sk2 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[207:[bind(A,$thf( sk5 ))]]) ).

thf(241,plain,
    ( ( sk1 @ sk6 )
    | ~ ( sk2 @ sk5 )
    | ( ( sk2 @ sk7 )
     != ( sk2 @ sk7 ) ) ),
    inference(paramod_ordered,[status(thm)],[55,208]) ).

thf(242,plain,
    ( ( sk1 @ sk6 )
    | ~ ( sk2 @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[241:[]]) ).

thf(463,plain,
    ! [A: $i] :
      ( ( sk6 != sk5 )
      | ~ ( sk1 @ sk5 )
      | ( ( sk3 @ A )
       != sk4 )
      | ( ( sk2 @ sk7 )
       != ( sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[361,49]) ).

thf(464,plain,
    ( ( sk6 != sk5 )
    | ~ ( sk1 @ sk5 )
    | ( ( sk3 @ sk7 )
     != sk4 ) ),
    inference(pattern_uni,[status(thm)],[463:[bind(A,$thf( sk7 ))]]) ).

thf(746,plain,
    $false,
    inference(e,[status(thm)],[5,24,29,361,53,77,32,27,49,3,557,87,346,30,6,201,28,38,199,370,31,351,186,107,242,532,464,68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET752^4 : TPTP v8.1.2. Released v3.6.0.
% 0.03/0.13  % Command  : run_Leo-III %s %d
% 0.13/0.33  % Computer : n032.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon May  6 13:22:39 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.80/0.78  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.17/0.94  % [INFO] 	 Parsing done (158ms). 
% 1.17/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.58/1.16  % [INFO] 	 eprover registered as external prover. 
% 1.58/1.16  % [INFO] 	 cvc4 registered as external prover. 
% 1.58/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.76/1.24  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.82/1.26  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.82/1.26  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.82/1.26  % [INFO] 	 Type checking passed. 
% 1.82/1.26  % [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 ... 
% 7.24/2.43  % External prover 'e' found a proof!
% 7.24/2.43  % [INFO] 	 Killing All external provers ... 
% 7.24/2.43  % Time passed: 1972ms (effective reasoning time: 1480ms)
% 7.24/2.43  % 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)>
% 7.24/2.43  % Axioms used in derivation (0): 
% 7.24/2.43  % No. of inferences in proof: 73
% 7.24/2.43  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1972 ms resp. 1480 ms w/o parsing
% 7.24/2.47  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.24/2.47  % [INFO] 	 Killing All external provers ... 
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