TSTP Solution File: SEV138^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV138^5 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.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 04:12:07 EDT 2024

% Result   : Theorem 0.12s 0.38s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  131 (   4 unt;  15 typ;   0 def)
%            Number of atoms       : 1087 ( 357 equ;   0 cnn)
%            Maximal formula atoms :   36 (   9 avg)
%            Number of connectives : 1257 ( 198   ~; 250   |; 104   &; 646   @)
%                                         (  13 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   91 (  91   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  26 usr;  18 con; 0-2 aty)
%            Number of variables   :  191 (   0   ^ 131   !;  58   ?; 191   :)
%                                         (   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 ).

thf(func_def_6,type,
    sK1: a ).

thf(func_def_7,type,
    sK2: a ).

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

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

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

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

thf(func_def_12,type,
    sK7: a > $o ).

thf(func_def_13,type,
    sK8: ( a > $o ) > a ).

thf(func_def_14,type,
    sK9: ( a > $o ) > a ).

thf(func_def_15,type,
    sK10: ( a > $o ) > a ).

thf(func_def_17,type,
    ph12: 
      !>[X0: $tType] : X0 ).

thf(f262,plain,
    $false,
    inference(avatar_sat_refutation,[],[f60,f94,f108,f182,f185,f196,f204,f226,f227,f230,f235,f244,f245,f253,f258,f261]) ).

thf(f261,plain,
    ( spl11_21
    | ~ spl11_10
    | ~ spl11_11 ),
    inference(avatar_split_clause,[],[f260,f110,f105,f179]) ).

thf(f179,plain,
    ( spl11_21
  <=> ( ( sK7 @ ( sK4 @ sK7 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).

thf(f105,plain,
    ( spl11_10
  <=> ( $true
      = ( sK7 @ ( sK5 @ sK7 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).

thf(f110,plain,
    ( spl11_11
  <=> ( $true
      = ( sK3 @ ( sK5 @ sK7 ) @ ( sK4 @ sK7 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).

thf(f260,plain,
    ( ( $true
     != ( sK7 @ ( sK5 @ sK7 ) ) )
    | ( ( sK7 @ ( sK4 @ sK7 ) )
      = $true )
    | ~ spl11_11 ),
    inference(trivial_inequality_removal,[],[f259]) ).

thf(f259,plain,
    ( ( $true
     != ( sK7 @ ( sK5 @ sK7 ) ) )
    | ( ( sK7 @ ( sK4 @ sK7 ) )
      = $true )
    | ( $true != $true )
    | ~ spl11_11 ),
    inference(superposition,[],[f22,f112]) ).

thf(f112,plain,
    ( ( $true
      = ( sK3 @ ( sK5 @ sK7 ) @ ( sK4 @ sK7 ) ) )
    | ~ spl11_11 ),
    inference(avatar_component_clause,[],[f110]) ).

thf(f22,plain,
    ! [X10: a,X11: a] :
      ( ( $true
       != ( sK3 @ X10 @ X11 ) )
      | ( $true
       != ( sK7 @ X10 ) )
      | ( ( sK7 @ X11 )
        = $true ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f15,plain,
    ( ! [X4: a > $o] :
        ( ( ( $true
           != ( X4 @ ( sK4 @ X4 ) ) )
          & ( $true
            = ( X4 @ ( sK5 @ X4 ) ) )
          & ( ( sK3 @ ( sK5 @ X4 ) @ ( sK4 @ X4 ) )
            = $true ) )
        | ( ( $true
            = ( sK3 @ sK1 @ ( sK6 @ X4 ) ) )
          & ( ( X4 @ ( sK6 @ X4 ) )
           != $true ) )
        | ( ( X4 @ sK2 )
          = $true ) )
    & ! [X9: a] :
        ( ( $true
          = ( sK7 @ X9 ) )
        | ( ( sK3 @ sK1 @ X9 )
         != $true ) )
    & ( $true
     != ( sK7 @ sK0 ) )
    & ! [X10: a,X11: a] :
        ( ( $true
         != ( sK3 @ X10 @ X11 ) )
        | ( $true
         != ( sK7 @ X10 ) )
        | ( ( sK7 @ X11 )
          = $true ) )
    & ! [X12: a > $o] :
        ( ( ( $true
           != ( X12 @ ( sK9 @ X12 ) ) )
          & ( $true
            = ( sK3 @ ( sK8 @ X12 ) @ ( sK9 @ X12 ) ) )
          & ( $true
            = ( X12 @ ( sK8 @ X12 ) ) ) )
        | ( ( ( sK3 @ sK2 @ ( sK10 @ X12 ) )
            = $true )
          & ( $true
           != ( X12 @ ( sK10 @ X12 ) ) ) )
        | ( $true
          = ( X12 @ sK0 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f8,f14,f13,f12,f11,f10,f9]) ).

thf(f9,plain,
    ( ? [X0: a,X1: a,X2: a,X3: a > a > $o] :
        ( ! [X4: a > $o] :
            ( ? [X5: a,X6: a] :
                ( ( ( X4 @ X5 )
                 != $true )
                & ( ( X4 @ X6 )
                  = $true )
                & ( ( X3 @ X6 @ X5 )
                  = $true ) )
            | ? [X7: a] :
                ( ( $true
                  = ( X3 @ X1 @ X7 ) )
                & ( ( X4 @ X7 )
                 != $true ) )
            | ( ( X4 @ X2 )
              = $true ) )
        & ? [X8: a > $o] :
            ( ! [X9: a] :
                ( ( ( X8 @ X9 )
                  = $true )
                | ( $true
                 != ( X3 @ X1 @ X9 ) ) )
            & ( $true
             != ( X8 @ X0 ) )
            & ! [X10: a,X11: a] :
                ( ( $true
                 != ( X3 @ X10 @ X11 ) )
                | ( $true
                 != ( X8 @ X10 ) )
                | ( ( X8 @ X11 )
                  = $true ) ) )
        & ! [X12: a > $o] :
            ( ? [X13: a,X14: a] :
                ( ( $true
                 != ( X12 @ X14 ) )
                & ( $true
                  = ( X3 @ X13 @ X14 ) )
                & ( $true
                  = ( X12 @ X13 ) ) )
            | ? [X15: a] :
                ( ( ( X3 @ X2 @ X15 )
                  = $true )
                & ( ( X12 @ X15 )
                 != $true ) )
            | ( ( X12 @ X0 )
              = $true ) ) )
   => ( ! [X4: a > $o] :
          ( ? [X6: a,X5: a] :
              ( ( ( X4 @ X5 )
               != $true )
              & ( ( X4 @ X6 )
                = $true )
              & ( $true
                = ( sK3 @ X6 @ X5 ) ) )
          | ? [X7: a] :
              ( ( ( sK3 @ sK1 @ X7 )
                = $true )
              & ( ( X4 @ X7 )
               != $true ) )
          | ( ( X4 @ sK2 )
            = $true ) )
      & ? [X8: a > $o] :
          ( ! [X9: a] :
              ( ( ( X8 @ X9 )
                = $true )
              | ( ( sK3 @ sK1 @ X9 )
               != $true ) )
          & ( $true
           != ( X8 @ sK0 ) )
          & ! [X11: a,X10: a] :
              ( ( $true
               != ( sK3 @ X10 @ X11 ) )
              | ( $true
               != ( X8 @ X10 ) )
              | ( ( X8 @ X11 )
                = $true ) ) )
      & ! [X12: a > $o] :
          ( ? [X14: a,X13: a] :
              ( ( $true
               != ( X12 @ X14 ) )
              & ( ( sK3 @ X13 @ X14 )
                = $true )
              & ( $true
                = ( X12 @ X13 ) ) )
          | ? [X15: a] :
              ( ( $true
                = ( sK3 @ sK2 @ X15 ) )
              & ( ( X12 @ X15 )
               != $true ) )
          | ( $true
            = ( X12 @ sK0 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ! [X4: a > $o] :
      ( ? [X6: a,X5: a] :
          ( ( ( X4 @ X5 )
           != $true )
          & ( ( X4 @ X6 )
            = $true )
          & ( $true
            = ( sK3 @ X6 @ X5 ) ) )
     => ( ( $true
         != ( X4 @ ( sK4 @ X4 ) ) )
        & ( $true
          = ( X4 @ ( sK5 @ X4 ) ) )
        & ( ( sK3 @ ( sK5 @ X4 ) @ ( sK4 @ X4 ) )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ! [X4: a > $o] :
      ( ? [X7: a] :
          ( ( ( sK3 @ sK1 @ X7 )
            = $true )
          & ( ( X4 @ X7 )
           != $true ) )
     => ( ( $true
          = ( sK3 @ sK1 @ ( sK6 @ X4 ) ) )
        & ( ( X4 @ ( sK6 @ X4 ) )
         != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ( ? [X8: a > $o] :
        ( ! [X9: a] :
            ( ( ( X8 @ X9 )
              = $true )
            | ( ( sK3 @ sK1 @ X9 )
             != $true ) )
        & ( $true
         != ( X8 @ sK0 ) )
        & ! [X11: a,X10: a] :
            ( ( $true
             != ( sK3 @ X10 @ X11 ) )
            | ( $true
             != ( X8 @ X10 ) )
            | ( ( X8 @ X11 )
              = $true ) ) )
   => ( ! [X9: a] :
          ( ( $true
            = ( sK7 @ X9 ) )
          | ( ( sK3 @ sK1 @ X9 )
           != $true ) )
      & ( $true
       != ( sK7 @ sK0 ) )
      & ! [X11: a,X10: a] :
          ( ( $true
           != ( sK3 @ X10 @ X11 ) )
          | ( $true
           != ( sK7 @ X10 ) )
          | ( ( sK7 @ X11 )
            = $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ! [X12: a > $o] :
      ( ? [X14: a,X13: a] :
          ( ( $true
           != ( X12 @ X14 ) )
          & ( ( sK3 @ X13 @ X14 )
            = $true )
          & ( $true
            = ( X12 @ X13 ) ) )
     => ( ( $true
         != ( X12 @ ( sK9 @ X12 ) ) )
        & ( $true
          = ( sK3 @ ( sK8 @ X12 ) @ ( sK9 @ X12 ) ) )
        & ( $true
          = ( X12 @ ( sK8 @ X12 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f14,plain,
    ! [X12: a > $o] :
      ( ? [X15: a] :
          ( ( $true
            = ( sK3 @ sK2 @ X15 ) )
          & ( ( X12 @ X15 )
           != $true ) )
     => ( ( ( sK3 @ sK2 @ ( sK10 @ X12 ) )
          = $true )
        & ( $true
         != ( X12 @ ( sK10 @ X12 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ? [X0: a,X1: a,X2: a,X3: a > a > $o] :
      ( ! [X4: a > $o] :
          ( ? [X5: a,X6: a] :
              ( ( ( X4 @ X5 )
               != $true )
              & ( ( X4 @ X6 )
                = $true )
              & ( ( X3 @ X6 @ X5 )
                = $true ) )
          | ? [X7: a] :
              ( ( $true
                = ( X3 @ X1 @ X7 ) )
              & ( ( X4 @ X7 )
               != $true ) )
          | ( ( X4 @ X2 )
            = $true ) )
      & ? [X8: a > $o] :
          ( ! [X9: a] :
              ( ( ( X8 @ X9 )
                = $true )
              | ( $true
               != ( X3 @ X1 @ X9 ) ) )
          & ( $true
           != ( X8 @ X0 ) )
          & ! [X10: a,X11: a] :
              ( ( $true
               != ( X3 @ X10 @ X11 ) )
              | ( $true
               != ( X8 @ X10 ) )
              | ( ( X8 @ X11 )
                = $true ) ) )
      & ! [X12: a > $o] :
          ( ? [X13: a,X14: a] :
              ( ( $true
               != ( X12 @ X14 ) )
              & ( $true
                = ( X3 @ X13 @ X14 ) )
              & ( $true
                = ( X12 @ X13 ) ) )
          | ? [X15: a] :
              ( ( ( X3 @ X2 @ X15 )
                = $true )
              & ( ( X12 @ X15 )
               != $true ) )
          | ( ( X12 @ X0 )
            = $true ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,plain,
    ? [X0: a,X1: a,X3: a,X2: a > a > $o] :
      ( ! [X4: a > $o] :
          ( ? [X6: a,X5: a] :
              ( ( ( X4 @ X6 )
               != $true )
              & ( ( X4 @ X5 )
                = $true )
              & ( $true
                = ( X2 @ X5 @ X6 ) ) )
          | ? [X7: a] :
              ( ( ( X2 @ X1 @ X7 )
                = $true )
              & ( ( X4 @ X7 )
               != $true ) )
          | ( ( X4 @ X3 )
            = $true ) )
      & ? [X12: a > $o] :
          ( ! [X15: a] :
              ( ( ( X12 @ X15 )
                = $true )
              | ( $true
               != ( X2 @ X1 @ X15 ) ) )
          & ( ( X12 @ X0 )
           != $true )
          & ! [X14: a,X13: a] :
              ( ( $true
               != ( X2 @ X14 @ X13 ) )
              | ( $true
               != ( X12 @ X14 ) )
              | ( $true
                = ( X12 @ X13 ) ) ) )
      & ! [X8: a > $o] :
          ( ? [X10: a,X11: a] :
              ( ( ( X8 @ X11 )
               != $true )
              & ( ( X2 @ X10 @ X11 )
                = $true )
              & ( $true
                = ( X8 @ X10 ) ) )
          | ? [X9: a] :
              ( ( $true
                = ( X2 @ X3 @ X9 ) )
              & ( ( X8 @ X9 )
               != $true ) )
          | ( $true
            = ( X8 @ X0 ) ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ? [X3: a,X1: a,X2: a > a > $o,X0: a] :
      ( ? [X12: a > $o] :
          ( ( ( X12 @ X0 )
           != $true )
          & ! [X13: a,X14: a] :
              ( ( $true
                = ( X12 @ X13 ) )
              | ( $true
               != ( X2 @ X14 @ X13 ) )
              | ( $true
               != ( X12 @ X14 ) ) )
          & ! [X15: a] :
              ( ( ( X12 @ X15 )
                = $true )
              | ( $true
               != ( X2 @ X1 @ X15 ) ) ) )
      & ! [X8: a > $o] :
          ( ( $true
            = ( X8 @ X0 ) )
          | ? [X10: a,X11: a] :
              ( ( ( X8 @ X11 )
               != $true )
              & ( $true
                = ( X8 @ X10 ) )
              & ( ( X2 @ X10 @ X11 )
                = $true ) )
          | ? [X9: a] :
              ( ( $true
                = ( X2 @ X3 @ X9 ) )
              & ( ( X8 @ X9 )
               != $true ) ) )
      & ! [X4: a > $o] :
          ( ( ( X4 @ X3 )
            = $true )
          | ? [X7: a] :
              ( ( ( X2 @ X1 @ X7 )
                = $true )
              & ( ( X4 @ X7 )
               != $true ) )
          | ? [X5: a,X6: a] :
              ( ( ( X4 @ X6 )
               != $true )
              & ( $true
                = ( X2 @ X5 @ X6 ) )
              & ( ( X4 @ X5 )
                = $true ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X3: a,X1: a,X2: a > a > $o,X0: a] :
        ( ( ! [X8: a > $o] :
              ( ( ! [X10: a,X11: a] :
                    ( ( ( $true
                        = ( X8 @ X10 ) )
                      & ( ( X2 @ X10 @ X11 )
                        = $true ) )
                   => ( ( X8 @ X11 )
                      = $true ) )
                & ! [X9: a] :
                    ( ( $true
                      = ( X2 @ X3 @ X9 ) )
                   => ( ( X8 @ X9 )
                      = $true ) ) )
             => ( $true
                = ( X8 @ X0 ) ) )
          & ! [X4: a > $o] :
              ( ( ! [X7: a] :
                    ( ( ( X2 @ X1 @ X7 )
                      = $true )
                   => ( ( X4 @ X7 )
                      = $true ) )
                & ! [X5: a,X6: a] :
                    ( ( ( $true
                        = ( X2 @ X5 @ X6 ) )
                      & ( ( X4 @ X5 )
                        = $true ) )
                   => ( ( X4 @ X6 )
                      = $true ) ) )
             => ( ( X4 @ X3 )
                = $true ) ) )
       => ! [X12: a > $o] :
            ( ( ! [X13: a,X14: a] :
                  ( ( ( $true
                      = ( X2 @ X14 @ X13 ) )
                    & ( $true
                      = ( X12 @ X14 ) ) )
                 => ( $true
                    = ( X12 @ X13 ) ) )
              & ! [X15: a] :
                  ( ( $true
                    = ( X2 @ X1 @ X15 ) )
                 => ( ( X12 @ X15 )
                    = $true ) ) )
           => ( ( X12 @ X0 )
              = $true ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: a,X1: a,X2: a > a > $o,X3: a] :
        ( ( ! [X4: a > $o] :
              ( ( ! [X5: a,X6: a] :
                    ( ( ( X4 @ X5 )
                      & ( X2 @ X5 @ X6 ) )
                   => ( X4 @ X6 ) )
                & ! [X7: a] :
                    ( ( X2 @ X1 @ X7 )
                   => ( X4 @ X7 ) ) )
             => ( X4 @ X3 ) )
          & ! [X8: a > $o] :
              ( ( ! [X9: a] :
                    ( ( X2 @ X3 @ X9 )
                   => ( X8 @ X9 ) )
                & ! [X10: a,X11: a] :
                    ( ( ( X2 @ X10 @ X11 )
                      & ( X8 @ X10 ) )
                   => ( X8 @ X11 ) ) )
             => ( X8 @ X0 ) ) )
       => ! [X12: a > $o] :
            ( ( ! [X13: a,X14: a] :
                  ( ( ( X2 @ X14 @ X13 )
                    & ( X12 @ X14 ) )
                 => ( X12 @ X13 ) )
              & ! [X15: a] :
                  ( ( X2 @ X1 @ X15 )
                 => ( X12 @ X15 ) ) )
           => ( X12 @ X0 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X3: a,X1: a,X0: a > a > $o,X2: a] :
        ( ( ! [X4: a > $o] :
              ( ( ! [X6: a,X7: a] :
                    ( ( ( X4 @ X6 )
                      & ( X0 @ X6 @ X7 ) )
                   => ( X4 @ X7 ) )
                & ! [X5: a] :
                    ( ( X0 @ X1 @ X5 )
                   => ( X4 @ X5 ) ) )
             => ( X4 @ X2 ) )
          & ! [X4: a > $o] :
              ( ( ! [X5: a] :
                    ( ( X0 @ X2 @ X5 )
                   => ( X4 @ X5 ) )
                & ! [X6: a,X7: a] :
                    ( ( ( X0 @ X6 @ X7 )
                      & ( X4 @ X6 ) )
                   => ( X4 @ X7 ) ) )
             => ( X4 @ X3 ) ) )
       => ! [X4: a > $o] :
            ( ( ! [X7: a,X6: a] :
                  ( ( ( X0 @ X6 @ X7 )
                    & ( X4 @ X6 ) )
                 => ( X4 @ X7 ) )
              & ! [X5: a] :
                  ( ( X0 @ X1 @ X5 )
                 => ( X4 @ X5 ) ) )
           => ( X4 @ X3 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X3: a,X1: a,X0: a > a > $o,X2: a] :
      ( ( ! [X4: a > $o] :
            ( ( ! [X6: a,X7: a] :
                  ( ( ( X4 @ X6 )
                    & ( X0 @ X6 @ X7 ) )
                 => ( X4 @ X7 ) )
              & ! [X5: a] :
                  ( ( X0 @ X1 @ X5 )
                 => ( X4 @ X5 ) ) )
           => ( X4 @ X2 ) )
        & ! [X4: a > $o] :
            ( ( ! [X5: a] :
                  ( ( X0 @ X2 @ X5 )
                 => ( X4 @ X5 ) )
              & ! [X6: a,X7: a] :
                  ( ( ( X0 @ X6 @ X7 )
                    & ( X4 @ X6 ) )
                 => ( X4 @ X7 ) ) )
           => ( X4 @ X3 ) ) )
     => ! [X4: a > $o] :
          ( ( ! [X7: a,X6: a] :
                ( ( ( X0 @ X6 @ X7 )
                  & ( X4 @ X6 ) )
               => ( X4 @ X7 ) )
            & ! [X5: a] :
                ( ( X0 @ X1 @ X5 )
               => ( X4 @ X5 ) ) )
         => ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM150_pme) ).

thf(f258,plain,
    ( spl11_11
    | spl11_5
    | ~ spl11_25 ),
    inference(avatar_split_clause,[],[f257,f241,f57,f110]) ).

thf(f57,plain,
    ( spl11_5
  <=> ( $true
      = ( sK7 @ sK2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

thf(f241,plain,
    ( spl11_25
  <=> ( $true
      = ( sK7 @ ( sK6 @ sK7 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).

thf(f257,plain,
    ( ( $true
      = ( sK3 @ ( sK5 @ sK7 ) @ ( sK4 @ sK7 ) ) )
    | ( $true
      = ( sK7 @ sK2 ) )
    | ~ spl11_25 ),
    inference(trivial_inequality_removal,[],[f254]) ).

thf(f254,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK3 @ ( sK5 @ sK7 ) @ ( sK4 @ sK7 ) ) )
    | ( $true
      = ( sK7 @ sK2 ) )
    | ~ spl11_25 ),
    inference(superposition,[],[f25,f242]) ).

thf(f242,plain,
    ( ( $true
      = ( sK7 @ ( sK6 @ sK7 ) ) )
    | ~ spl11_25 ),
    inference(avatar_component_clause,[],[f241]) ).

thf(f25,plain,
    ! [X4: a > $o] :
      ( ( ( X4 @ ( sK6 @ X4 ) )
       != $true )
      | ( ( X4 @ sK2 )
        = $true )
      | ( ( sK3 @ ( sK5 @ X4 ) @ ( sK4 @ X4 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f253,plain,
    ( spl11_25
    | ~ spl11_20 ),
    inference(avatar_split_clause,[],[f251,f175,f241]) ).

thf(f175,plain,
    ( spl11_20
  <=> ( $true
      = ( sK3 @ sK1 @ ( sK6 @ sK7 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).

thf(f251,plain,
    ( ( $true
      = ( sK7 @ ( sK6 @ sK7 ) ) )
    | ~ spl11_20 ),
    inference(trivial_inequality_removal,[],[f249]) ).

thf(f249,plain,
    ( ( $true
      = ( sK7 @ ( sK6 @ sK7 ) ) )
    | ( $true != $true )
    | ~ spl11_20 ),
    inference(superposition,[],[f24,f177]) ).

thf(f177,plain,
    ( ( $true
      = ( sK3 @ sK1 @ ( sK6 @ sK7 ) ) )
    | ~ spl11_20 ),
    inference(avatar_component_clause,[],[f175]) ).

thf(f24,plain,
    ! [X9: a] :
      ( ( ( sK3 @ sK1 @ X9 )
       != $true )
      | ( $true
        = ( sK7 @ X9 ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f245,plain,
    ( spl11_20
    | spl11_5
    | ~ spl11_21 ),
    inference(avatar_split_clause,[],[f238,f179,f57,f175]) ).

thf(f238,plain,
    ( ( $true
      = ( sK3 @ sK1 @ ( sK6 @ sK7 ) ) )
    | ( $true
      = ( sK7 @ sK2 ) )
    | ~ spl11_21 ),
    inference(trivial_inequality_removal,[],[f237]) ).

thf(f237,plain,
    ( ( $true
      = ( sK7 @ sK2 ) )
    | ( $true
      = ( sK3 @ sK1 @ ( sK6 @ sK7 ) ) )
    | ( $true != $true )
    | ~ spl11_21 ),
    inference(superposition,[],[f30,f181]) ).

thf(f181,plain,
    ( ( ( sK7 @ ( sK4 @ sK7 ) )
      = $true )
    | ~ spl11_21 ),
    inference(avatar_component_clause,[],[f179]) ).

thf(f30,plain,
    ! [X4: a > $o] :
      ( ( $true
       != ( X4 @ ( sK4 @ X4 ) ) )
      | ( $true
        = ( sK3 @ sK1 @ ( sK6 @ X4 ) ) )
      | ( ( X4 @ sK2 )
        = $true ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f244,plain,
    ( spl11_5
    | ~ spl11_25
    | ~ spl11_21 ),
    inference(avatar_split_clause,[],[f239,f179,f241,f57]) ).

thf(f239,plain,
    ( ( $true
      = ( sK7 @ sK2 ) )
    | ( $true
     != ( sK7 @ ( sK6 @ sK7 ) ) )
    | ~ spl11_21 ),
    inference(trivial_inequality_removal,[],[f236]) ).

thf(f236,plain,
    ( ( $true
      = ( sK7 @ sK2 ) )
    | ( $true
     != ( sK7 @ ( sK6 @ sK7 ) ) )
    | ( $true != $true )
    | ~ spl11_21 ),
    inference(superposition,[],[f29,f181]) ).

thf(f29,plain,
    ! [X4: a > $o] :
      ( ( $true
       != ( X4 @ ( sK4 @ X4 ) ) )
      | ( ( X4 @ sK2 )
        = $true )
      | ( ( X4 @ ( sK6 @ X4 ) )
       != $true ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f235,plain,
    ( spl11_16
    | ~ spl11_14
    | ~ spl11_15 ),
    inference(avatar_split_clause,[],[f234,f147,f142,f152]) ).

thf(f152,plain,
    ( spl11_16
  <=> ( ( sK7 @ ( sK9 @ sK7 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).

thf(f142,plain,
    ( spl11_14
  <=> ( $true
      = ( sK7 @ ( sK8 @ sK7 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).

thf(f147,plain,
    ( spl11_15
  <=> ( $true
      = ( sK3 @ ( sK8 @ sK7 ) @ ( sK9 @ sK7 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).

thf(f234,plain,
    ( ( ( sK7 @ ( sK9 @ sK7 ) )
      = $true )
    | ~ spl11_14
    | ~ spl11_15 ),
    inference(trivial_inequality_removal,[],[f233]) ).

thf(f233,plain,
    ( ( $true != $true )
    | ( ( sK7 @ ( sK9 @ sK7 ) )
      = $true )
    | ~ spl11_14
    | ~ spl11_15 ),
    inference(forward_demodulation,[],[f232,f144]) ).

thf(f144,plain,
    ( ( $true
      = ( sK7 @ ( sK8 @ sK7 ) ) )
    | ~ spl11_14 ),
    inference(avatar_component_clause,[],[f142]) ).

thf(f232,plain,
    ( ( $true
     != ( sK7 @ ( sK8 @ sK7 ) ) )
    | ( ( sK7 @ ( sK9 @ sK7 ) )
      = $true )
    | ~ spl11_15 ),
    inference(trivial_inequality_removal,[],[f231]) ).

thf(f231,plain,
    ( ( ( sK7 @ ( sK9 @ sK7 ) )
      = $true )
    | ( $true
     != ( sK7 @ ( sK8 @ sK7 ) ) )
    | ( $true != $true )
    | ~ spl11_15 ),
    inference(superposition,[],[f22,f149]) ).

thf(f149,plain,
    ( ( $true
      = ( sK3 @ ( sK8 @ sK7 ) @ ( sK9 @ sK7 ) ) )
    | ~ spl11_15 ),
    inference(avatar_component_clause,[],[f147]) ).

thf(f230,plain,
    ( spl11_22
    | spl11_12
    | ~ spl11_16 ),
    inference(avatar_split_clause,[],[f229,f152,f115,f201]) ).

thf(f201,plain,
    ( spl11_22
  <=> ( $true
      = ( sK3 @ sK2 @ ( sK10 @ sK7 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).

thf(f115,plain,
    ( spl11_12
  <=> ( $true
      = ( sK7 @ sK0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).

thf(f229,plain,
    ( ( $true
      = ( sK7 @ sK0 ) )
    | ( $true
      = ( sK3 @ sK2 @ ( sK10 @ sK7 ) ) )
    | ~ spl11_16 ),
    inference(trivial_inequality_removal,[],[f228]) ).

thf(f228,plain,
    ( ( $true
      = ( sK7 @ sK0 ) )
    | ( $true
      = ( sK3 @ sK2 @ ( sK10 @ sK7 ) ) )
    | ( $true != $true )
    | ~ spl11_16 ),
    inference(superposition,[],[f21,f153]) ).

thf(f153,plain,
    ( ( ( sK7 @ ( sK9 @ sK7 ) )
      = $true )
    | ~ spl11_16 ),
    inference(avatar_component_clause,[],[f152]) ).

thf(f21,plain,
    ! [X12: a > $o] :
      ( ( $true
       != ( X12 @ ( sK9 @ X12 ) ) )
      | ( ( sK3 @ sK2 @ ( sK10 @ X12 ) )
        = $true )
      | ( $true
        = ( X12 @ sK0 ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f227,plain,
    ( spl11_12
    | ~ spl11_16
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(avatar_split_clause,[],[f224,f201,f57,f152,f115]) ).

thf(f224,plain,
    ( ( $true
      = ( sK7 @ sK0 ) )
    | ( ( sK7 @ ( sK9 @ sK7 ) )
     != $true )
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(trivial_inequality_removal,[],[f222]) ).

thf(f222,plain,
    ( ( ( sK7 @ ( sK9 @ sK7 ) )
     != $true )
    | ( $true
      = ( sK7 @ sK0 ) )
    | ( $true != $true )
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(superposition,[],[f20,f219]) ).

thf(f219,plain,
    ( ( $true
      = ( sK7 @ ( sK10 @ sK7 ) ) )
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(trivial_inequality_removal,[],[f218]) ).

thf(f218,plain,
    ( ( $true
      = ( sK7 @ ( sK10 @ sK7 ) ) )
    | ( $true != $true )
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(forward_demodulation,[],[f217,f58]) ).

thf(f58,plain,
    ( ( $true
      = ( sK7 @ sK2 ) )
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f57]) ).

thf(f217,plain,
    ( ( $true
      = ( sK7 @ ( sK10 @ sK7 ) ) )
    | ( $true
     != ( sK7 @ sK2 ) )
    | ~ spl11_22 ),
    inference(trivial_inequality_removal,[],[f216]) ).

thf(f216,plain,
    ( ( $true
      = ( sK7 @ ( sK10 @ sK7 ) ) )
    | ( $true != $true )
    | ( $true
     != ( sK7 @ sK2 ) )
    | ~ spl11_22 ),
    inference(superposition,[],[f22,f203]) ).

thf(f203,plain,
    ( ( $true
      = ( sK3 @ sK2 @ ( sK10 @ sK7 ) ) )
    | ~ spl11_22 ),
    inference(avatar_component_clause,[],[f201]) ).

thf(f20,plain,
    ! [X12: a > $o] :
      ( ( $true
       != ( X12 @ ( sK10 @ X12 ) ) )
      | ( $true
       != ( X12 @ ( sK9 @ X12 ) ) )
      | ( $true
        = ( X12 @ sK0 ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f226,plain,
    ( spl11_15
    | spl11_12
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(avatar_split_clause,[],[f225,f201,f57,f115,f147]) ).

thf(f225,plain,
    ( ( $true
      = ( sK7 @ sK0 ) )
    | ( $true
      = ( sK3 @ ( sK8 @ sK7 ) @ ( sK9 @ sK7 ) ) )
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(trivial_inequality_removal,[],[f221]) ).

thf(f221,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK7 @ sK0 ) )
    | ( $true
      = ( sK3 @ ( sK8 @ sK7 ) @ ( sK9 @ sK7 ) ) )
    | ~ spl11_5
    | ~ spl11_22 ),
    inference(superposition,[],[f18,f219]) ).

thf(f18,plain,
    ! [X12: a > $o] :
      ( ( $true
       != ( X12 @ ( sK10 @ X12 ) ) )
      | ( $true
        = ( X12 @ sK0 ) )
      | ( $true
        = ( sK3 @ ( sK8 @ X12 ) @ ( sK9 @ X12 ) ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f204,plain,
    ( spl11_22
    | spl11_12
    | spl11_16
    | ~ spl11_14 ),
    inference(avatar_split_clause,[],[f199,f142,f152,f115,f201]) ).

thf(f199,plain,
    ( ( $true
      = ( sK7 @ sK0 ) )
    | ( ( sK7 @ ( sK9 @ sK7 ) )
      = $true )
    | ( $true
      = ( sK3 @ sK2 @ ( sK10 @ sK7 ) ) )
    | ~ spl11_14 ),
    inference(trivial_inequality_removal,[],[f198]) ).

thf(f198,plain,
    ( ( ( sK7 @ ( sK9 @ sK7 ) )
      = $true )
    | ( $true
      = ( sK7 @ sK0 ) )
    | ( $true != $true )
    | ( $true
      = ( sK3 @ sK2 @ ( sK10 @ sK7 ) ) )
    | ~ spl11_14 ),
    inference(superposition,[],[f125,f144]) ).

thf(f125,plain,
    ! [X0: a > $o] :
      ( ( ( sK7 @ ( sK8 @ X0 ) )
       != $true )
      | ( $true
        = ( X0 @ sK0 ) )
      | ( ( sK3 @ sK2 @ ( sK10 @ X0 ) )
        = $true )
      | ( $true
        = ( sK7 @ ( sK9 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f124]) ).

thf(f124,plain,
    ! [X0: a > $o] :
      ( ( ( sK7 @ ( sK8 @ X0 ) )
       != $true )
      | ( $true != $true )
      | ( $true
        = ( sK7 @ ( sK9 @ X0 ) ) )
      | ( ( sK3 @ sK2 @ ( sK10 @ X0 ) )
        = $true )
      | ( $true
        = ( X0 @ sK0 ) ) ),
    inference(superposition,[],[f22,f19]) ).

thf(f19,plain,
    ! [X12: a > $o] :
      ( ( $true
        = ( sK3 @ ( sK8 @ X12 ) @ ( sK9 @ X12 ) ) )
      | ( ( sK3 @ sK2 @ ( sK10 @ X12 ) )
        = $true )
      | ( $true
        = ( X12 @ sK0 ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f196,plain,
    ( spl11_12
    | spl11_14
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f192,f54,f142,f115]) ).

thf(f54,plain,
    ( spl11_4
  <=> ! [X0: a > $o] :
        ( ( $true
          = ( X0 @ ( sK8 @ X0 ) ) )
        | ( $true
          = ( sK7 @ ( sK10 @ X0 ) ) )
        | ( $true
          = ( X0 @ sK0 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

thf(f192,plain,
    ( ( $true
      = ( sK7 @ sK0 ) )
    | ( $true
      = ( sK7 @ ( sK8 @ sK7 ) ) )
    | ~ spl11_4 ),
    inference(trivial_inequality_removal,[],[f191]) ).

thf(f191,plain,
    ( ( $true
      = ( sK7 @ sK0 ) )
    | ( $true
      = ( sK7 @ ( sK8 @ sK7 ) ) )
    | ( $true != $true )
    | ~ spl11_4 ),
    inference(duplicate_literal_removal,[],[f186]) ).

thf(f186,plain,
    ( ( $true
      = ( sK7 @ sK0 ) )
    | ( $true
      = ( sK7 @ ( sK8 @ sK7 ) ) )
    | ( $true
      = ( sK7 @ sK0 ) )
    | ( $true != $true )
    | ( $true
      = ( sK7 @ ( sK8 @ sK7 ) ) )
    | ~ spl11_4 ),
    inference(superposition,[],[f16,f55]) ).

thf(f55,plain,
    ( ! [X0: a > $o] :
        ( ( $true
          = ( sK7 @ ( sK10 @ X0 ) ) )
        | ( $true
          = ( X0 @ ( sK8 @ X0 ) ) )
        | ( $true
          = ( X0 @ sK0 ) ) )
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f54]) ).

thf(f16,plain,
    ! [X12: a > $o] :
      ( ( $true
       != ( X12 @ ( sK10 @ X12 ) ) )
      | ( $true
        = ( X12 @ ( sK8 @ X12 ) ) )
      | ( $true
        = ( X12 @ sK0 ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f185,plain,
    ~ spl11_12,
    inference(avatar_contradiction_clause,[],[f184]) ).

thf(f184,plain,
    ( $false
    | ~ spl11_12 ),
    inference(trivial_inequality_removal,[],[f183]) ).

thf(f183,plain,
    ( ( $true != $true )
    | ~ spl11_12 ),
    inference(superposition,[],[f23,f117]) ).

thf(f117,plain,
    ( ( $true
      = ( sK7 @ sK0 ) )
    | ~ spl11_12 ),
    inference(avatar_component_clause,[],[f115]) ).

thf(f23,plain,
    ( $true
   != ( sK7 @ sK0 ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f182,plain,
    ( spl11_20
    | spl11_21
    | spl11_5
    | ~ spl11_10 ),
    inference(avatar_split_clause,[],[f163,f105,f57,f179,f175]) ).

thf(f163,plain,
    ( ( $true
      = ( sK3 @ sK1 @ ( sK6 @ sK7 ) ) )
    | ( ( sK7 @ ( sK4 @ sK7 ) )
      = $true )
    | ( $true
      = ( sK7 @ sK2 ) )
    | ~ spl11_10 ),
    inference(trivial_inequality_removal,[],[f161]) ).

thf(f161,plain,
    ( ( $true
      = ( sK3 @ sK1 @ ( sK6 @ sK7 ) ) )
    | ( $true != $true )
    | ( ( sK7 @ ( sK4 @ sK7 ) )
      = $true )
    | ( $true
      = ( sK7 @ sK2 ) )
    | ~ spl11_10 ),
    inference(superposition,[],[f131,f107]) ).

thf(f107,plain,
    ( ( $true
      = ( sK7 @ ( sK5 @ sK7 ) ) )
    | ~ spl11_10 ),
    inference(avatar_component_clause,[],[f105]) ).

thf(f131,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( sK7 @ ( sK5 @ X0 ) ) )
      | ( $true
        = ( sK3 @ sK1 @ ( sK6 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK2 ) )
      | ( $true
        = ( sK7 @ ( sK4 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f130]) ).

thf(f130,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( sK3 @ sK1 @ ( sK6 @ X0 ) ) )
      | ( $true != $true )
      | ( $true
        = ( X0 @ sK2 ) )
      | ( $true
       != ( sK7 @ ( sK5 @ X0 ) ) )
      | ( $true
        = ( sK7 @ ( sK4 @ X0 ) ) ) ),
    inference(superposition,[],[f22,f26]) ).

thf(f26,plain,
    ! [X4: a > $o] :
      ( ( ( sK3 @ ( sK5 @ X4 ) @ ( sK4 @ X4 ) )
        = $true )
      | ( ( X4 @ sK2 )
        = $true )
      | ( $true
        = ( sK3 @ sK1 @ ( sK6 @ X4 ) ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f108,plain,
    ( spl11_10
    | spl11_5
    | ~ spl11_6 ),
    inference(avatar_split_clause,[],[f103,f71,f57,f105]) ).

thf(f71,plain,
    ( spl11_6
  <=> ! [X0: a > $o] :
        ( ( $true
          = ( X0 @ sK2 ) )
        | ( $true
          = ( sK7 @ ( sK6 @ X0 ) ) )
        | ( $true
          = ( X0 @ ( sK5 @ X0 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

thf(f103,plain,
    ( ( $true
      = ( sK7 @ ( sK5 @ sK7 ) ) )
    | ( $true
      = ( sK7 @ sK2 ) )
    | ~ spl11_6 ),
    inference(trivial_inequality_removal,[],[f102]) ).

thf(f102,plain,
    ( ( $true
      = ( sK7 @ sK2 ) )
    | ( $true
      = ( sK7 @ ( sK5 @ sK7 ) ) )
    | ( $true != $true )
    | ~ spl11_6 ),
    inference(duplicate_literal_removal,[],[f99]) ).

thf(f99,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK7 @ ( sK5 @ sK7 ) ) )
    | ( $true
      = ( sK7 @ sK2 ) )
    | ( $true
      = ( sK7 @ ( sK5 @ sK7 ) ) )
    | ( $true
      = ( sK7 @ sK2 ) )
    | ~ spl11_6 ),
    inference(superposition,[],[f27,f72]) ).

thf(f72,plain,
    ( ! [X0: a > $o] :
        ( ( $true
          = ( sK7 @ ( sK6 @ X0 ) ) )
        | ( $true
          = ( X0 @ ( sK5 @ X0 ) ) )
        | ( $true
          = ( X0 @ sK2 ) ) )
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f71]) ).

thf(f27,plain,
    ! [X4: a > $o] :
      ( ( ( X4 @ ( sK6 @ X4 ) )
       != $true )
      | ( $true
        = ( X4 @ ( sK5 @ X4 ) ) )
      | ( ( X4 @ sK2 )
        = $true ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f94,plain,
    spl11_6,
    inference(avatar_split_clause,[],[f69,f71]) ).

thf(f69,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( X0 @ sK2 ) )
      | ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) )
      | ( $true
        = ( X0 @ ( sK5 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f63]) ).

thf(f63,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) )
      | ( $true != $true )
      | ( $true
        = ( X0 @ sK2 ) )
      | ( $true
        = ( X0 @ ( sK5 @ X0 ) ) ) ),
    inference(superposition,[],[f24,f28]) ).

thf(f28,plain,
    ! [X4: a > $o] :
      ( ( $true
        = ( sK3 @ sK1 @ ( sK6 @ X4 ) ) )
      | ( ( X4 @ sK2 )
        = $true )
      | ( $true
        = ( X4 @ ( sK5 @ X4 ) ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f60,plain,
    ( spl11_4
    | ~ spl11_5 ),
    inference(avatar_split_clause,[],[f34,f57,f54]) ).

thf(f34,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( X0 @ ( sK8 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK0 ) )
      | ( $true
       != ( sK7 @ sK2 ) )
      | ( $true
        = ( sK7 @ ( sK10 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f31]) ).

thf(f31,plain,
    ! [X0: a > $o] :
      ( ( $true != $true )
      | ( $true
        = ( X0 @ ( sK8 @ X0 ) ) )
      | ( $true
        = ( sK7 @ ( sK10 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK0 ) )
      | ( $true
       != ( sK7 @ sK2 ) ) ),
    inference(superposition,[],[f22,f17]) ).

thf(f17,plain,
    ! [X12: a > $o] :
      ( ( ( sK3 @ sK2 @ ( sK10 @ X12 ) )
        = $true )
      | ( $true
        = ( X12 @ ( sK8 @ X12 ) ) )
      | ( $true
        = ( X12 @ sK0 ) ) ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SEV138^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 18:27:07 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a TH0_THM_NEQ_NAR problem
% 0.12/0.34  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/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  % (17294)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 (3000ds/27Mi)
% 0.12/0.36  % (17293)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 (3000ds/4Mi)
% 0.12/0.36  % (17296)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 (3000ds/2Mi)
% 0.12/0.36  % (17298)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.12/0.36  % (17299)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.12/0.36  % (17295)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.12/0.36  % (17296)Instruction limit reached!
% 0.12/0.36  % (17296)------------------------------
% 0.12/0.36  % (17296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (17296)Termination reason: Unknown
% 0.12/0.36  % (17296)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (17296)Memory used [KB]: 1023
% 0.12/0.36  % (17296)Time elapsed: 0.003 s
% 0.12/0.36  % (17296)Instructions burned: 3 (million)
% 0.12/0.36  % (17296)------------------------------
% 0.12/0.36  % (17296)------------------------------
% 0.12/0.36  % (17299)Instruction limit reached!
% 0.12/0.36  % (17299)------------------------------
% 0.12/0.36  % (17299)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (17297)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 (3000ds/275Mi)
% 0.12/0.36  % (17299)Termination reason: Unknown
% 0.12/0.36  % (17299)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (17299)Memory used [KB]: 5500
% 0.12/0.36  % (17299)Time elapsed: 0.003 s
% 0.12/0.36  % (17299)Instructions burned: 3 (million)
% 0.12/0.36  % (17299)------------------------------
% 0.12/0.36  % (17299)------------------------------
% 0.12/0.36  % (17292)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.12/0.36  % (17293)Instruction limit reached!
% 0.12/0.36  % (17293)------------------------------
% 0.12/0.36  % (17293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (17293)Termination reason: Unknown
% 0.12/0.36  % (17293)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (17293)Memory used [KB]: 5500
% 0.12/0.36  % (17293)Time elapsed: 0.004 s
% 0.12/0.36  % (17293)Instructions burned: 4 (million)
% 0.12/0.36  % (17293)------------------------------
% 0.12/0.36  % (17293)------------------------------
% 0.12/0.36  % (17295)Instruction limit reached!
% 0.12/0.36  % (17295)------------------------------
% 0.12/0.36  % (17295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (17295)Termination reason: Unknown
% 0.12/0.36  % (17295)Termination phase: Property scanning
% 0.12/0.36  
% 0.12/0.36  % (17295)Memory used [KB]: 1023
% 0.12/0.36  % (17295)Time elapsed: 0.003 s
% 0.12/0.36  % (17295)Instructions burned: 2 (million)
% 0.12/0.36  % (17295)------------------------------
% 0.12/0.36  % (17295)------------------------------
% 0.12/0.37  % (17298)Instruction limit reached!
% 0.12/0.37  % (17298)------------------------------
% 0.12/0.37  % (17298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (17298)Termination reason: Unknown
% 0.12/0.37  % (17298)Termination phase: Saturation
% 0.12/0.37  
% 0.12/0.37  % (17298)Memory used [KB]: 5628
% 0.12/0.37  % (17298)Time elapsed: 0.011 s
% 0.12/0.37  % (17298)Instructions burned: 18 (million)
% 0.12/0.37  % (17298)------------------------------
% 0.12/0.37  % (17298)------------------------------
% 0.12/0.37  % (17300)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.12/0.38  % (17302)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.38  % (17294)First to succeed.
% 0.12/0.38  % (17301)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.12/0.38  % (17302)Instruction limit reached!
% 0.12/0.38  % (17302)------------------------------
% 0.12/0.38  % (17302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (17302)Termination reason: Unknown
% 0.12/0.38  % (17302)Termination phase: Saturation
% 0.12/0.38  
% 0.12/0.38  % (17302)Memory used [KB]: 5500
% 0.12/0.38  % (17302)Time elapsed: 0.003 s
% 0.12/0.38  % (17302)Instructions burned: 3 (million)
% 0.12/0.38  % (17302)------------------------------
% 0.12/0.38  % (17302)------------------------------
% 0.12/0.38  % (17303)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.12/0.38  % (17294)Refutation found. Thanks to Tanya!
% 0.12/0.38  % SZS status Theorem for theBenchmark
% 0.12/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.38  % (17294)------------------------------
% 0.12/0.38  % (17294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (17294)Termination reason: Refutation
% 0.12/0.38  
% 0.12/0.38  % (17294)Memory used [KB]: 5756
% 0.12/0.38  % (17294)Time elapsed: 0.020 s
% 0.12/0.38  % (17294)Instructions burned: 26 (million)
% 0.12/0.38  % (17294)------------------------------
% 0.12/0.38  % (17294)------------------------------
% 0.12/0.38  % (17291)Success in time 0.029 s
% 0.12/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------