TSTP Solution File: SEV136^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV136^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% 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 : Sun May  5 09:41:28 EDT 2024

% Result   : Theorem 0.15s 0.33s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   55 (   4 unt;  10 typ;   0 def)
%            Number of atoms       :  496 ( 154 equ;   0 cnn)
%            Maximal formula atoms :   24 (  11 avg)
%            Number of connectives :  744 (  91   ~;  83   |;  62   &; 474   @)
%                                         (   3 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   85 (  85   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :  146 (   0   ^ 108   !;  36   ?; 146   :)
%                                         (   2  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

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

thf(func_def_7,type,
    sK2: a ).

thf(func_def_8,type,
    sK3: a ).

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

thf(func_def_10,type,
    sK5: ( a > $o ) > a ).

thf(func_def_12,type,
    ph7: 
      !>[X0: $tType] : X0 ).

thf(f63,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f36,f43,f62]) ).

thf(f62,plain,
    ( spl6_2
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f61,f40,f24,f28]) ).

thf(f28,plain,
    ( spl6_2
  <=> ( $true
      = ( sK0 @ sK1 @ sK2 @ sK3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

thf(f24,plain,
    ( spl6_1
  <=> ( $true
      = ( sK0 @ sK1 @ sK2 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

thf(f40,plain,
    ( spl6_3
  <=> ( $true
      = ( sK1 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) @ ( sK4 @ ( sK0 @ sK1 @ sK2 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

thf(f61,plain,
    ( ( $true
      = ( sK0 @ sK1 @ sK2 @ sK3 ) )
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f60]) ).

thf(f60,plain,
    ( ( $true
      = ( sK0 @ sK1 @ sK2 @ sK3 ) )
    | ( $true != $true )
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(forward_demodulation,[],[f58,f18]) ).

thf(f18,plain,
    ! [X5: a] :
      ( $true
      = ( sK0 @ sK1 @ X5 @ X5 ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f12,plain,
    ( ! [X2: a,X3: a,X4: a] :
        ( ( ( sK0 @ sK1 @ X2 @ X3 )
         != $true )
        | ( $true
         != ( sK0 @ sK1 @ X3 @ X4 ) )
        | ( $true
          = ( sK0 @ sK1 @ X2 @ X4 ) ) )
    & ! [X5: a] :
        ( $true
        = ( sK0 @ sK1 @ X5 @ X5 ) )
    & ! [X6: a,X7: a] :
        ( ( $true
          = ( sK0 @ sK1 @ X7 @ X6 ) )
        | ( $true
         != ( sK1 @ X7 @ X6 ) ) )
    & ( $true
     != ( sK0 @ sK1 @ sK2 @ sK3 ) )
    & ! [X10: a > $o] :
        ( ( $true
         != ( X10 @ sK2 ) )
        | ( ( $true
            = ( X10 @ ( sK5 @ X10 ) ) )
          & ( $true
           != ( X10 @ ( sK4 @ X10 ) ) )
          & ( $true
            = ( sK1 @ ( sK5 @ X10 ) @ ( sK4 @ X10 ) ) ) )
        | ( ( X10 @ sK3 )
          = $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f8,f11,f10,f9]) ).

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

thf(f10,plain,
    ( ? [X9: a,X8: a] :
        ( ( $true
         != ( sK0 @ sK1 @ X8 @ X9 ) )
        & ! [X10: a > $o] :
            ( ( ( X10 @ X8 )
             != $true )
            | ? [X12: a,X11: a] :
                ( ( $true
                  = ( X10 @ X12 ) )
                & ( $true
                 != ( X10 @ X11 ) )
                & ( $true
                  = ( sK1 @ X12 @ X11 ) ) )
            | ( $true
              = ( X10 @ X9 ) ) ) )
   => ( ( $true
       != ( sK0 @ sK1 @ sK2 @ sK3 ) )
      & ! [X10: a > $o] :
          ( ( $true
           != ( X10 @ sK2 ) )
          | ? [X12: a,X11: a] :
              ( ( $true
                = ( X10 @ X12 ) )
              & ( $true
               != ( X10 @ X11 ) )
              & ( $true
                = ( sK1 @ X12 @ X11 ) ) )
          | ( ( X10 @ sK3 )
            = $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ! [X10: a > $o] :
      ( ? [X12: a,X11: a] :
          ( ( $true
            = ( X10 @ X12 ) )
          & ( $true
           != ( X10 @ X11 ) )
          & ( $true
            = ( sK1 @ X12 @ X11 ) ) )
     => ( ( $true
          = ( X10 @ ( sK5 @ X10 ) ) )
        & ( $true
         != ( X10 @ ( sK4 @ X10 ) ) )
        & ( $true
          = ( sK1 @ ( sK5 @ X10 ) @ ( sK4 @ X10 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

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

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

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

thf(f1,conjecture,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > a > a > $o] :
      ( ( ! [X2: a,X3: a] :
            ( ( X0 @ X2 @ X3 )
           => ( X1 @ X0 @ X2 @ X3 ) )
        & ! [X2: a] : ( X1 @ X0 @ X2 @ X2 )
        & ! [X2: a,X3: a,X4: a] :
            ( ( ( X1 @ X0 @ X2 @ X3 )
              & ( X1 @ X0 @ X3 @ X4 ) )
           => ( X1 @ X0 @ X2 @ X4 ) ) )
     => ! [X3: a,X2: a] :
          ( ! [X5: a > $o] :
              ( ! [X6: a,X4: a] :
                  ( ( ( X5 @ X6 )
                    & ( X0 @ X6 @ X4 ) )
                 => ( X5 @ X4 ) )
             => ( ( X5 @ X2 )
               => ( X5 @ X3 ) ) )
         => ( X1 @ X0 @ X2 @ X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sUyEao1ITi/Vampire---4.8_24458',cTHM203_pme) ).

thf(f58,plain,
    ( ( $true
     != ( sK0 @ sK1 @ sK2 @ sK2 ) )
    | ( $true
      = ( sK0 @ sK1 @ sK2 @ sK3 ) )
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f57]) ).

thf(f57,plain,
    ( ( $true != $true )
    | ( $true
     != ( sK0 @ sK1 @ sK2 @ sK2 ) )
    | ( $true
      = ( sK0 @ sK1 @ sK2 @ sK3 ) )
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(superposition,[],[f14,f55]) ).

thf(f55,plain,
    ( ( $true
      = ( sK0 @ sK1 @ sK2 @ ( sK4 @ ( sK0 @ sK1 @ sK2 ) ) ) )
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f53]) ).

thf(f53,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK0 @ sK1 @ sK2 @ ( sK4 @ ( sK0 @ sK1 @ sK2 ) ) ) )
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(superposition,[],[f49,f26]) ).

thf(f26,plain,
    ( ( $true
      = ( sK0 @ sK1 @ sK2 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) ) )
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f24]) ).

thf(f49,plain,
    ( ! [X0: a] :
        ( ( ( sK0 @ sK1 @ X0 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) )
         != $true )
        | ( $true
          = ( sK0 @ sK1 @ X0 @ ( sK4 @ ( sK0 @ sK1 @ sK2 ) ) ) ) )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f48]) ).

thf(f48,plain,
    ( ! [X0: a] :
        ( ( $true
          = ( sK0 @ sK1 @ X0 @ ( sK4 @ ( sK0 @ sK1 @ sK2 ) ) ) )
        | ( ( sK0 @ sK1 @ X0 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl6_3 ),
    inference(superposition,[],[f19,f47]) ).

thf(f47,plain,
    ( ( $true
      = ( sK0 @ sK1 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) @ ( sK4 @ ( sK0 @ sK1 @ sK2 ) ) ) )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f46]) ).

thf(f46,plain,
    ( ( $true
      = ( sK0 @ sK1 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) @ ( sK4 @ ( sK0 @ sK1 @ sK2 ) ) ) )
    | ( $true != $true )
    | ~ spl6_3 ),
    inference(superposition,[],[f17,f42]) ).

thf(f42,plain,
    ( ( $true
      = ( sK1 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) @ ( sK4 @ ( sK0 @ sK1 @ sK2 ) ) ) )
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f40]) ).

thf(f17,plain,
    ! [X6: a,X7: a] :
      ( ( $true
       != ( sK1 @ X7 @ X6 ) )
      | ( $true
        = ( sK0 @ sK1 @ X7 @ X6 ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f19,plain,
    ! [X2: a,X3: a,X4: a] :
      ( ( $true
       != ( sK0 @ sK1 @ X3 @ X4 ) )
      | ( $true
        = ( sK0 @ sK1 @ X2 @ X4 ) )
      | ( ( sK0 @ sK1 @ X2 @ X3 )
       != $true ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f14,plain,
    ! [X10: a > $o] :
      ( ( $true
       != ( X10 @ ( sK4 @ X10 ) ) )
      | ( ( X10 @ sK3 )
        = $true )
      | ( $true
       != ( X10 @ sK2 ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f43,plain,
    ( spl6_2
    | spl6_3 ),
    inference(avatar_split_clause,[],[f38,f40,f28]) ).

thf(f38,plain,
    ( ( $true
      = ( sK1 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) @ ( sK4 @ ( sK0 @ sK1 @ sK2 ) ) ) )
    | ( $true
      = ( sK0 @ sK1 @ sK2 @ sK3 ) ) ),
    inference(trivial_inequality_removal,[],[f37]) ).

thf(f37,plain,
    ( ( $true
      = ( sK0 @ sK1 @ sK2 @ sK3 ) )
    | ( $true
      = ( sK1 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) @ ( sK4 @ ( sK0 @ sK1 @ sK2 ) ) ) )
    | ( $true != $true ) ),
    inference(superposition,[],[f13,f18]) ).

thf(f13,plain,
    ! [X10: a > $o] :
      ( ( $true
       != ( X10 @ sK2 ) )
      | ( $true
        = ( sK1 @ ( sK5 @ X10 ) @ ( sK4 @ X10 ) ) )
      | ( ( X10 @ sK3 )
        = $true ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f36,plain,
    ~ spl6_2,
    inference(avatar_contradiction_clause,[],[f35]) ).

thf(f35,plain,
    ( $false
    | ~ spl6_2 ),
    inference(trivial_inequality_removal,[],[f32]) ).

thf(f32,plain,
    ( ( $true != $true )
    | ~ spl6_2 ),
    inference(superposition,[],[f16,f30]) ).

thf(f30,plain,
    ( ( $true
      = ( sK0 @ sK1 @ sK2 @ sK3 ) )
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f28]) ).

thf(f16,plain,
    ( $true
   != ( sK0 @ sK1 @ sK2 @ sK3 ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f31,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f22,f28,f24]) ).

thf(f22,plain,
    ( ( $true
      = ( sK0 @ sK1 @ sK2 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) ) )
    | ( $true
      = ( sK0 @ sK1 @ sK2 @ sK3 ) ) ),
    inference(trivial_inequality_removal,[],[f21]) ).

thf(f21,plain,
    ( ( $true
      = ( sK0 @ sK1 @ sK2 @ sK3 ) )
    | ( $true != $true )
    | ( $true
      = ( sK0 @ sK1 @ sK2 @ ( sK5 @ ( sK0 @ sK1 @ sK2 ) ) ) ) ),
    inference(superposition,[],[f15,f18]) ).

thf(f15,plain,
    ! [X10: a > $o] :
      ( ( $true
       != ( X10 @ sK2 ) )
      | ( ( X10 @ sK3 )
        = $true )
      | ( $true
        = ( X10 @ ( sK5 @ X10 ) ) ) ),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SEV136^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 12:15:53 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a TH0_THM_NEQ_NAR problem
% 0.10/0.31  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.sUyEao1ITi/Vampire---4.8_24458
% 0.15/0.33  % (24567)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 Vampire---4 for (3000ds/4Mi)
% 0.15/0.33  % (24568)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 Vampire---4 for (3000ds/27Mi)
% 0.15/0.33  % (24569)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.33  % (24570)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.33  % (24566)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.15/0.33  % (24571)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.15/0.33  % (24573)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.15/0.33  % (24572)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.15/0.33  % (24569)Instruction limit reached!
% 0.15/0.33  % (24569)------------------------------
% 0.15/0.33  % (24569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33  % (24569)Termination reason: Unknown
% 0.15/0.33  % (24569)Termination phase: Preprocessing 3
% 0.15/0.33  
% 0.15/0.33  % (24570)Instruction limit reached!
% 0.15/0.33  % (24570)------------------------------
% 0.15/0.33  % (24570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33  % (24570)Termination reason: Unknown
% 0.15/0.33  % (24570)Termination phase: Property scanning
% 0.15/0.33  
% 0.15/0.33  % (24570)Memory used [KB]: 895
% 0.15/0.33  % (24570)Time elapsed: 0.002 s
% 0.15/0.33  % (24570)Instructions burned: 2 (million)
% 0.15/0.33  % (24570)------------------------------
% 0.15/0.33  % (24570)------------------------------
% 0.15/0.33  % (24569)Memory used [KB]: 895
% 0.15/0.33  % (24569)Time elapsed: 0.002 s
% 0.15/0.33  % (24569)Instructions burned: 2 (million)
% 0.15/0.33  % (24569)------------------------------
% 0.15/0.33  % (24569)------------------------------
% 0.15/0.33  % (24573)Instruction limit reached!
% 0.15/0.33  % (24573)------------------------------
% 0.15/0.33  % (24573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33  % (24573)Termination reason: Unknown
% 0.15/0.33  % (24573)Termination phase: Saturation
% 0.15/0.33  
% 0.15/0.33  % (24573)Memory used [KB]: 5500
% 0.15/0.33  % (24573)Time elapsed: 0.003 s
% 0.15/0.33  % (24573)Instructions burned: 3 (million)
% 0.15/0.33  % (24573)------------------------------
% 0.15/0.33  % (24573)------------------------------
% 0.15/0.33  % (24567)Instruction limit reached!
% 0.15/0.33  % (24567)------------------------------
% 0.15/0.33  % (24567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33  % (24567)Termination reason: Unknown
% 0.15/0.33  % (24567)Termination phase: Saturation
% 0.15/0.33  
% 0.15/0.33  % (24567)Memory used [KB]: 5500
% 0.15/0.33  % (24567)Time elapsed: 0.004 s
% 0.15/0.33  % (24567)Instructions burned: 4 (million)
% 0.15/0.33  % (24567)------------------------------
% 0.15/0.33  % (24567)------------------------------
% 0.15/0.33  % (24568)First to succeed.
% 0.15/0.33  % (24568)Refutation found. Thanks to Tanya!
% 0.15/0.33  % SZS status Theorem for Vampire---4
% 0.15/0.33  % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.33  % (24568)------------------------------
% 0.15/0.33  % (24568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33  % (24568)Termination reason: Refutation
% 0.15/0.33  
% 0.15/0.33  % (24568)Memory used [KB]: 5628
% 0.15/0.33  % (24568)Time elapsed: 0.009 s
% 0.15/0.33  % (24568)Instructions burned: 8 (million)
% 0.15/0.33  % (24568)------------------------------
% 0.15/0.33  % (24568)------------------------------
% 0.15/0.33  % (24565)Success in time 0.008 s
% 0.15/0.33  % Vampire---4.8 exiting
%------------------------------------------------------------------------------