TSTP Solution File: SEV186^5 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SEV186^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n022.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 : Mon Jun 24 16:02:10 EDT 2024

% Result   : Theorem 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   46 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  521 ( 191 equ;   0 cnn)
%            Maximal formula atoms :   26 (  11 avg)
%            Number of connectives :  599 ( 114   ~; 100   |;  60   &; 278   @)
%                                         (   2 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  139 ( 139   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :  168 (   0   ^ 124   !;  44   ?; 168   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    b: $tType ).

thf(func_def_0,type,
    b: $tType ).

thf(func_def_2,type,
    vEPSILON: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_5,type,
    sK0: ( b > $o ) > $o ).

thf(func_def_6,type,
    sK1: ( b > $o ) > ( b > $o ) > $o ).

thf(func_def_7,type,
    sK2: ( b > $o ) > ( b > $o ) > b ).

thf(func_def_8,type,
    sK3: b > $o ).

thf(func_def_9,type,
    sK4: b > $o ).

thf(func_def_10,type,
    sK5: b ).

thf(func_def_11,type,
    sK6: b > $o ).

thf(func_def_13,type,
    ph8: 
      !>[X0: $tType] : X0 ).

thf(f50,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f40,f49]) ).

thf(f49,plain,
    ( spl7_2
    | ~ spl7_1 ),
    inference(avatar_split_clause,[],[f48,f29,f33]) ).

thf(f33,plain,
    ( spl7_2
  <=> ! [X0: b] :
        ( ( ( sK6 @ X0 )
          = $true )
        | ( ( sK3 @ X0 )
         != $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

thf(f29,plain,
    ( spl7_1
  <=> ( ( sK4 @ ( sK2 @ sK4 @ sK6 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

thf(f48,plain,
    ( ! [X0: b] :
        ( ( ( sK3 @ X0 )
         != $true )
        | ( ( sK6 @ X0 )
          = $true ) )
    | ~ spl7_1 ),
    inference(trivial_inequality_removal,[],[f47]) ).

thf(f47,plain,
    ( ! [X0: b] :
        ( ( ( sK3 @ X0 )
         != $true )
        | ( ( sK6 @ X0 )
          = $true )
        | ( $true != $true ) )
    | ~ spl7_1 ),
    inference(superposition,[],[f46,f19]) ).

thf(f19,plain,
    ( ( sK1 @ sK4 @ sK3 )
    = $true ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ! [X2: b > $o] :
        ( ( ( sK0 @ X2 )
         != $true )
        | ! [X3: b > $o,X4: b > $o] :
            ( ( ( sK1 @ X4 @ X3 )
             != $true )
            | ( ( $true
               != ( X2 @ ( sK2 @ X4 @ X2 ) ) )
              & ( ( X4 @ ( sK2 @ X4 @ X2 ) )
                = $true ) )
            | ! [X6: b] :
                ( ( $true
                  = ( X2 @ X6 ) )
                | ( ( X3 @ X6 )
                 != $true ) ) ) )
    & ( ( sK1 @ sK4 @ sK3 )
      = $true )
    & ! [X9: b] :
        ( ( ( sK4 @ X9 )
         != $true )
        | ! [X10: b > $o] :
            ( ( ( sK0 @ X10 )
             != $true )
            | ( ( X10 @ X9 )
              = $true ) ) )
    & ( ( sK3 @ sK5 )
      = $true )
    & ( ( sK0 @ sK6 )
      = $true )
    & ( ( sK6 @ sK5 )
     != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f8,f13,f12,f11,f10,f9]) ).

thf(f9,plain,
    ( ? [X0: ( b > $o ) > $o,X1: ( b > $o ) > ( b > $o ) > $o] :
        ( ! [X2: b > $o] :
            ( ( ( X0 @ X2 )
             != $true )
            | ! [X3: b > $o,X4: b > $o] :
                ( ( ( X1 @ X4 @ X3 )
                 != $true )
                | ? [X5: b] :
                    ( ( ( X2 @ X5 )
                     != $true )
                    & ( ( X4 @ X5 )
                      = $true ) )
                | ! [X6: b] :
                    ( ( $true
                      = ( X2 @ X6 ) )
                    | ( ( X3 @ X6 )
                     != $true ) ) ) )
        & ? [X7: b > $o,X8: b > $o] :
            ( ( ( X1 @ X8 @ X7 )
              = $true )
            & ! [X9: b] :
                ( ( ( X8 @ X9 )
                 != $true )
                | ! [X10: b > $o] :
                    ( ( $true
                     != ( X0 @ X10 ) )
                    | ( ( X10 @ X9 )
                      = $true ) ) )
            & ? [X11: b] :
                ( ( ( X7 @ X11 )
                  = $true )
                & ? [X12: b > $o] :
                    ( ( ( X0 @ X12 )
                      = $true )
                    & ( $true
                     != ( X12 @ X11 ) ) ) ) ) )
   => ( ! [X2: b > $o] :
          ( ( ( sK0 @ X2 )
           != $true )
          | ! [X4: b > $o,X3: b > $o] :
              ( ( ( sK1 @ X4 @ X3 )
               != $true )
              | ? [X5: b] :
                  ( ( ( X2 @ X5 )
                   != $true )
                  & ( ( X4 @ X5 )
                    = $true ) )
              | ! [X6: b] :
                  ( ( $true
                    = ( X2 @ X6 ) )
                  | ( ( X3 @ X6 )
                   != $true ) ) ) )
      & ? [X8: b > $o,X7: b > $o] :
          ( ( ( sK1 @ X8 @ X7 )
            = $true )
          & ! [X9: b] :
              ( ( ( X8 @ X9 )
               != $true )
              | ! [X10: b > $o] :
                  ( ( ( sK0 @ X10 )
                   != $true )
                  | ( ( X10 @ X9 )
                    = $true ) ) )
          & ? [X11: b] :
              ( ( ( X7 @ X11 )
                = $true )
              & ? [X12: b > $o] :
                  ( ( ( sK0 @ X12 )
                    = $true )
                  & ( $true
                   != ( X12 @ X11 ) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ! [X2: b > $o,X4: b > $o] :
      ( ? [X5: b] :
          ( ( ( X2 @ X5 )
           != $true )
          & ( ( X4 @ X5 )
            = $true ) )
     => ( ( $true
         != ( X2 @ ( sK2 @ X4 @ X2 ) ) )
        & ( ( X4 @ ( sK2 @ X4 @ X2 ) )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X8: b > $o,X7: b > $o] :
        ( ( ( sK1 @ X8 @ X7 )
          = $true )
        & ! [X9: b] :
            ( ( ( X8 @ X9 )
             != $true )
            | ! [X10: b > $o] :
                ( ( ( sK0 @ X10 )
                 != $true )
                | ( ( X10 @ X9 )
                  = $true ) ) )
        & ? [X11: b] :
            ( ( ( X7 @ X11 )
              = $true )
            & ? [X12: b > $o] :
                ( ( ( sK0 @ X12 )
                  = $true )
                & ( $true
                 != ( X12 @ X11 ) ) ) ) )
   => ( ( ( sK1 @ sK4 @ sK3 )
        = $true )
      & ! [X9: b] :
          ( ( ( sK4 @ X9 )
           != $true )
          | ! [X10: b > $o] :
              ( ( ( sK0 @ X10 )
               != $true )
              | ( ( X10 @ X9 )
                = $true ) ) )
      & ? [X11: b] :
          ( ( ( sK3 @ X11 )
            = $true )
          & ? [X12: b > $o] :
              ( ( ( sK0 @ X12 )
                = $true )
              & ( $true
               != ( X12 @ X11 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ( ? [X11: b] :
        ( ( ( sK3 @ X11 )
          = $true )
        & ? [X12: b > $o] :
            ( ( ( sK0 @ X12 )
              = $true )
            & ( $true
             != ( X12 @ X11 ) ) ) )
   => ( ( ( sK3 @ sK5 )
        = $true )
      & ? [X12: b > $o] :
          ( ( ( sK0 @ X12 )
            = $true )
          & ( ( X12 @ sK5 )
           != $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ( ? [X12: b > $o] :
        ( ( ( sK0 @ X12 )
          = $true )
        & ( ( X12 @ sK5 )
         != $true ) )
   => ( ( ( sK0 @ sK6 )
        = $true )
      & ( ( sK6 @ sK5 )
       != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ? [X0: ( b > $o ) > $o,X1: ( b > $o ) > ( b > $o ) > $o] :
      ( ! [X2: b > $o] :
          ( ( ( X0 @ X2 )
           != $true )
          | ! [X3: b > $o,X4: b > $o] :
              ( ( ( X1 @ X4 @ X3 )
               != $true )
              | ? [X5: b] :
                  ( ( ( X2 @ X5 )
                   != $true )
                  & ( ( X4 @ X5 )
                    = $true ) )
              | ! [X6: b] :
                  ( ( $true
                    = ( X2 @ X6 ) )
                  | ( ( X3 @ X6 )
                   != $true ) ) ) )
      & ? [X7: b > $o,X8: b > $o] :
          ( ( ( X1 @ X8 @ X7 )
            = $true )
          & ! [X9: b] :
              ( ( ( X8 @ X9 )
               != $true )
              | ! [X10: b > $o] :
                  ( ( $true
                   != ( X0 @ X10 ) )
                  | ( ( X10 @ X9 )
                    = $true ) ) )
          & ? [X11: b] :
              ( ( ( X7 @ X11 )
                = $true )
              & ? [X12: b > $o] :
                  ( ( ( X0 @ X12 )
                    = $true )
                  & ( $true
                   != ( X12 @ X11 ) ) ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,plain,
    ? [X1: ( b > $o ) > $o,X0: ( b > $o ) > ( b > $o ) > $o] :
      ( ! [X2: b > $o] :
          ( ( ( X1 @ X2 )
           != $true )
          | ! [X3: b > $o,X4: b > $o] :
              ( ( ( X0 @ X4 @ X3 )
               != $true )
              | ? [X5: b] :
                  ( ( ( X2 @ X5 )
                   != $true )
                  & ( ( X4 @ X5 )
                    = $true ) )
              | ! [X6: b] :
                  ( ( $true
                    = ( X2 @ X6 ) )
                  | ( ( X3 @ X6 )
                   != $true ) ) ) )
      & ? [X8: b > $o,X7: b > $o] :
          ( ( ( X0 @ X7 @ X8 )
            = $true )
          & ! [X9: b] :
              ( ( ( X7 @ X9 )
               != $true )
              | ! [X10: b > $o] :
                  ( ( ( X1 @ X10 )
                   != $true )
                  | ( ( X10 @ X9 )
                    = $true ) ) )
          & ? [X11: b] :
              ( ( ( X8 @ X11 )
                = $true )
              & ? [X12: b > $o] :
                  ( ( ( X1 @ X12 )
                    = $true )
                  & ( $true
                   != ( X12 @ X11 ) ) ) ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ? [X1: ( b > $o ) > $o,X0: ( b > $o ) > ( b > $o ) > $o] :
      ( ? [X7: b > $o,X8: b > $o] :
          ( ? [X11: b] :
              ( ( ( X8 @ X11 )
                = $true )
              & ? [X12: b > $o] :
                  ( ( ( X1 @ X12 )
                    = $true )
                  & ( $true
                   != ( X12 @ X11 ) ) ) )
          & ! [X9: b] :
              ( ( ( X7 @ X9 )
               != $true )
              | ! [X10: b > $o] :
                  ( ( ( X1 @ X10 )
                   != $true )
                  | ( ( X10 @ X9 )
                    = $true ) ) )
          & ( ( X0 @ X7 @ X8 )
            = $true ) )
      & ! [X2: b > $o] :
          ( ! [X3: b > $o,X4: b > $o] :
              ( ! [X6: b] :
                  ( ( $true
                    = ( X2 @ X6 ) )
                  | ( ( X3 @ X6 )
                   != $true ) )
              | ? [X5: b] :
                  ( ( ( X2 @ X5 )
                   != $true )
                  & ( ( X4 @ X5 )
                    = $true ) )
              | ( ( X0 @ X4 @ X3 )
               != $true ) )
          | ( ( X1 @ X2 )
           != $true ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X1: ( b > $o ) > $o,X0: ( b > $o ) > ( b > $o ) > $o] :
        ( ! [X2: b > $o] :
            ( ( ( X1 @ X2 )
              = $true )
           => ! [X3: b > $o,X4: b > $o] :
                ( ( ! [X5: b] :
                      ( ( ( X4 @ X5 )
                        = $true )
                     => ( ( X2 @ X5 )
                        = $true ) )
                  & ( ( X0 @ X4 @ X3 )
                    = $true ) )
               => ! [X6: b] :
                    ( ( ( X3 @ X6 )
                      = $true )
                   => ( $true
                      = ( X2 @ X6 ) ) ) ) )
       => ! [X7: b > $o,X8: b > $o] :
            ( ( ! [X9: b] :
                  ( ( ( X7 @ X9 )
                    = $true )
                 => ! [X10: b > $o] :
                      ( ( ( X1 @ X10 )
                        = $true )
                     => ( ( X10 @ X9 )
                        = $true ) ) )
              & ( ( X0 @ X7 @ X8 )
                = $true ) )
           => ! [X11: b] :
                ( ( ( X8 @ X11 )
                  = $true )
               => ! [X12: b > $o] :
                    ( ( ( X1 @ X12 )
                      = $true )
                   => ( $true
                      = ( X12 @ X11 ) ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: ( b > $o ) > ( b > $o ) > $o,X1: ( b > $o ) > $o] :
        ( ! [X2: b > $o] :
            ( ( X1 @ X2 )
           => ! [X3: b > $o,X4: b > $o] :
                ( ( ( X0 @ X4 @ X3 )
                  & ! [X5: b] :
                      ( ( X4 @ X5 )
                     => ( X2 @ X5 ) ) )
               => ! [X6: b] :
                    ( ( X3 @ X6 )
                   => ( X2 @ X6 ) ) ) )
       => ! [X7: b > $o,X8: b > $o] :
            ( ( ( X0 @ X7 @ X8 )
              & ! [X9: b] :
                  ( ( X7 @ X9 )
                 => ! [X10: b > $o] :
                      ( ( X1 @ X10 )
                     => ( X10 @ X9 ) ) ) )
           => ! [X11: b] :
                ( ( X8 @ X11 )
               => ! [X12: b > $o] :
                    ( ( X1 @ X12 )
                   => ( X12 @ X11 ) ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X0: ( b > $o ) > ( b > $o ) > $o,X1: ( b > $o ) > $o] :
        ( ! [X2: b > $o] :
            ( ( X1 @ X2 )
           => ! [X4: b > $o,X3: b > $o] :
                ( ( ( X0 @ X3 @ X4 )
                  & ! [X5: b] :
                      ( ( X3 @ X5 )
                     => ( X2 @ X5 ) ) )
               => ! [X5: b] :
                    ( ( X4 @ X5 )
                   => ( X2 @ X5 ) ) ) )
       => ! [X3: b > $o,X4: b > $o] :
            ( ( ( X0 @ X3 @ X4 )
              & ! [X2: b] :
                  ( ( X3 @ X2 )
                 => ! [X6: b > $o] :
                      ( ( X1 @ X6 )
                     => ( X6 @ X2 ) ) ) )
           => ! [X2: b] :
                ( ( X4 @ X2 )
               => ! [X6: b > $o] :
                    ( ( X1 @ X6 )
                   => ( X6 @ X2 ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X0: ( b > $o ) > ( b > $o ) > $o,X1: ( b > $o ) > $o] :
      ( ! [X2: b > $o] :
          ( ( X1 @ X2 )
         => ! [X4: b > $o,X3: b > $o] :
              ( ( ( X0 @ X3 @ X4 )
                & ! [X5: b] :
                    ( ( X3 @ X5 )
                   => ( X2 @ X5 ) ) )
             => ! [X5: b] :
                  ( ( X4 @ X5 )
                 => ( X2 @ X5 ) ) ) )
     => ! [X3: b > $o,X4: b > $o] :
          ( ( ( X0 @ X3 @ X4 )
            & ! [X2: b] :
                ( ( X3 @ X2 )
               => ! [X6: b > $o] :
                    ( ( X1 @ X6 )
                   => ( X6 @ X2 ) ) ) )
         => ! [X2: b] :
              ( ( X4 @ X2 )
             => ! [X6: b > $o] :
                  ( ( X1 @ X6 )
                 => ( X6 @ X2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM565_pme) ).

thf(f46,plain,
    ( ! [X0: b > $o,X1: b] :
        ( ( ( sK1 @ sK4 @ X0 )
         != $true )
        | ( ( sK6 @ X1 )
          = $true )
        | ( ( X0 @ X1 )
         != $true ) )
    | ~ spl7_1 ),
    inference(trivial_inequality_removal,[],[f45]) ).

thf(f45,plain,
    ( ! [X0: b > $o,X1: b] :
        ( ( ( sK6 @ X1 )
          = $true )
        | ( ( sK1 @ sK4 @ X0 )
         != $true )
        | ( ( X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl7_1 ),
    inference(forward_demodulation,[],[f44,f16]) ).

thf(f16,plain,
    ( ( sK0 @ sK6 )
    = $true ),
    inference(cnf_transformation,[],[f14]) ).

thf(f44,plain,
    ( ! [X0: b > $o,X1: b] :
        ( ( ( sK1 @ sK4 @ X0 )
         != $true )
        | ( ( X0 @ X1 )
         != $true )
        | ( ( sK6 @ X1 )
          = $true )
        | ( ( sK0 @ sK6 )
         != $true ) )
    | ~ spl7_1 ),
    inference(trivial_inequality_removal,[],[f43]) ).

thf(f43,plain,
    ( ! [X0: b > $o,X1: b] :
        ( ( ( sK0 @ sK6 )
         != $true )
        | ( ( sK6 @ X1 )
          = $true )
        | ( ( X0 @ X1 )
         != $true )
        | ( ( sK1 @ sK4 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl7_1 ),
    inference(superposition,[],[f21,f42]) ).

thf(f42,plain,
    ( ( ( sK6 @ ( sK2 @ sK4 @ sK6 ) )
      = $true )
    | ~ spl7_1 ),
    inference(trivial_inequality_removal,[],[f41]) ).

thf(f41,plain,
    ( ( $true != $true )
    | ( ( sK6 @ ( sK2 @ sK4 @ sK6 ) )
      = $true )
    | ~ spl7_1 ),
    inference(superposition,[],[f23,f31]) ).

thf(f31,plain,
    ( ( ( sK4 @ ( sK2 @ sK4 @ sK6 ) )
      = $true )
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f29]) ).

thf(f23,plain,
    ! [X0: b] :
      ( ( $true
       != ( sK4 @ X0 ) )
      | ( ( sK6 @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f22]) ).

thf(f22,plain,
    ! [X0: b] :
      ( ( ( sK6 @ X0 )
        = $true )
      | ( $true
       != ( sK4 @ X0 ) )
      | ( $true != $true ) ),
    inference(superposition,[],[f18,f16]) ).

thf(f18,plain,
    ! [X10: b > $o,X9: b] :
      ( ( ( sK0 @ X10 )
       != $true )
      | ( ( X10 @ X9 )
        = $true )
      | ( ( sK4 @ X9 )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f21,plain,
    ! [X2: b > $o,X3: b > $o,X6: b,X4: b > $o] :
      ( ( $true
       != ( X2 @ ( sK2 @ X4 @ X2 ) ) )
      | ( ( X3 @ X6 )
       != $true )
      | ( ( sK1 @ X4 @ X3 )
       != $true )
      | ( $true
        = ( X2 @ X6 ) )
      | ( ( sK0 @ X2 )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f40,plain,
    ~ spl7_2,
    inference(avatar_contradiction_clause,[],[f39]) ).

thf(f39,plain,
    ( $false
    | ~ spl7_2 ),
    inference(trivial_inequality_removal,[],[f38]) ).

thf(f38,plain,
    ( ( $true != $true )
    | ~ spl7_2 ),
    inference(superposition,[],[f15,f37]) ).

thf(f37,plain,
    ( ( ( sK6 @ sK5 )
      = $true )
    | ~ spl7_2 ),
    inference(trivial_inequality_removal,[],[f36]) ).

thf(f36,plain,
    ( ( ( sK6 @ sK5 )
      = $true )
    | ( $true != $true )
    | ~ spl7_2 ),
    inference(superposition,[],[f34,f17]) ).

thf(f17,plain,
    ( ( sK3 @ sK5 )
    = $true ),
    inference(cnf_transformation,[],[f14]) ).

thf(f34,plain,
    ( ! [X0: b] :
        ( ( ( sK3 @ X0 )
         != $true )
        | ( ( sK6 @ X0 )
          = $true ) )
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f33]) ).

thf(f15,plain,
    ( ( sK6 @ sK5 )
   != $true ),
    inference(cnf_transformation,[],[f14]) ).

thf(f35,plain,
    ( spl7_1
    | spl7_2 ),
    inference(avatar_split_clause,[],[f27,f33,f29]) ).

thf(f27,plain,
    ! [X0: b] :
      ( ( ( sK6 @ X0 )
        = $true )
      | ( ( sK4 @ ( sK2 @ sK4 @ sK6 ) )
        = $true )
      | ( ( sK3 @ X0 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f26]) ).

thf(f26,plain,
    ! [X0: b] :
      ( ( ( sK3 @ X0 )
       != $true )
      | ( ( sK4 @ ( sK2 @ sK4 @ sK6 ) )
        = $true )
      | ( $true != $true )
      | ( ( sK6 @ X0 )
        = $true ) ),
    inference(superposition,[],[f25,f16]) ).

thf(f25,plain,
    ! [X0: b,X1: b > $o] :
      ( ( ( sK0 @ X1 )
       != $true )
      | ( ( sK4 @ ( sK2 @ sK4 @ X1 ) )
        = $true )
      | ( ( X1 @ X0 )
        = $true )
      | ( ( sK3 @ X0 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f24]) ).

thf(f24,plain,
    ! [X0: b,X1: b > $o] :
      ( ( ( sK3 @ X0 )
       != $true )
      | ( ( sK0 @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( sK4 @ ( sK2 @ sK4 @ X1 ) )
        = $true )
      | ( ( X1 @ X0 )
        = $true ) ),
    inference(superposition,[],[f20,f19]) ).

thf(f20,plain,
    ! [X2: b > $o,X3: b > $o,X6: b,X4: b > $o] :
      ( ( ( sK1 @ X4 @ X3 )
       != $true )
      | ( ( X3 @ X6 )
       != $true )
      | ( $true
        = ( X2 @ X6 ) )
      | ( ( sK0 @ X2 )
       != $true )
      | ( ( X4 @ ( sK2 @ X4 @ X2 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEV186^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n022.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   : Fri Jun 21 19:04:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a TH0_THM_NEQ_NAR problem
% 0.12/0.35  Running higher-order theorem proving
% 0.12/0.35  Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.21/0.37  % (1994)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.37  % (1995)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.21/0.37  % (1998)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.37  % (1997)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37  % (1996)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37  % (1999)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37  % (1993)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37  % (1997)Instruction limit reached!
% 0.21/0.37  % (1997)------------------------------
% 0.21/0.37  % (1997)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37  % (1997)Termination reason: Unknown
% 0.21/0.37  % (1997)Termination phase: Property scanning
% 0.21/0.37  
% 0.21/0.37  % (1997)Memory used [KB]: 895
% 0.21/0.37  % (1997)Time elapsed: 0.003 s
% 0.21/0.37  % (1997)Instructions burned: 2 (million)
% 0.21/0.37  % (1997)------------------------------
% 0.21/0.37  % (1997)------------------------------
% 0.21/0.38  % (1996)Instruction limit reached!
% 0.21/0.38  % (1996)------------------------------
% 0.21/0.38  % (1996)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38  % (1996)Termination reason: Unknown
% 0.21/0.38  % (1996)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (1996)Memory used [KB]: 5500
% 0.21/0.38  % (1996)Time elapsed: 0.004 s
% 0.21/0.38  % (1996)Instructions burned: 2 (million)
% 0.21/0.38  % (1996)------------------------------
% 0.21/0.38  % (1996)------------------------------
% 0.21/0.38  % (1994)Instruction limit reached!
% 0.21/0.38  % (1994)------------------------------
% 0.21/0.38  % (1994)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38  % (1994)Termination reason: Unknown
% 0.21/0.38  % (1994)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (1994)Memory used [KB]: 5500
% 0.21/0.38  % (1994)Time elapsed: 0.006 s
% 0.21/0.38  % (1994)Instructions burned: 4 (million)
% 0.21/0.38  % (1994)------------------------------
% 0.21/0.38  % (1994)------------------------------
% 0.21/0.38  % (1995)First to succeed.
% 0.21/0.38  % (1999)Also succeeded, but the first one will report.
% 0.21/0.38  % (1995)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Theorem for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (1995)------------------------------
% 0.21/0.38  % (1995)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38  % (1995)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (1995)Memory used [KB]: 5628
% 0.21/0.38  % (1995)Time elapsed: 0.009 s
% 0.21/0.38  % (1995)Instructions burned: 5 (million)
% 0.21/0.38  % (1995)------------------------------
% 0.21/0.38  % (1995)------------------------------
% 0.21/0.38  % (1992)Success in time 0.01 s
%------------------------------------------------------------------------------