TSTP Solution File: SEV104^5 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SEV104^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n025.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 16:01:49 EDT 2024

% Result   : Theorem 0.11s 0.38s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   47 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :  585 ( 164 equ;   0 cnn)
%            Maximal formula atoms :   18 (  12 avg)
%            Number of connectives :  743 ( 103   ~;  84   |;  89   &; 430   @)
%                                         (   5 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :  172 (   0   ^ 151   !;  21   ?; 172   :)

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

thf(type_def_7,type,
    b: $tType ).

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

thf(func_def_1,type,
    b: $tType ).

thf(func_def_2,type,
    cR: a > a > $o ).

thf(func_def_3,type,
    z: a ).

thf(func_def_4,type,
    f: a > b > $o ).

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

thf(func_def_9,type,
    sK0: a > b ).

thf(func_def_10,type,
    sK1: a ).

thf(func_def_11,type,
    sK2: b ).

thf(func_def_12,type,
    sK3: a ).

thf(f75,plain,
    $false,
    inference(avatar_sat_refutation,[],[f30,f35,f40,f45,f47,f67,f72,f74]) ).

thf(f74,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f73]) ).

thf(f73,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f26,f29]) ).

thf(f29,plain,
    ( ! [X16: a] :
        ( ( f @ X16 @ sK2 )
       != $true )
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f28]) ).

thf(f28,plain,
    ( spl4_2
  <=> ! [X16: a] :
        ( ( f @ X16 @ sK2 )
       != $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

thf(f26,plain,
    ( ( ( f @ sK1 @ sK2 )
      = $true )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f24]) ).

thf(f24,plain,
    ( spl4_1
  <=> ( ( f @ sK1 @ sK2 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

thf(f72,plain,
    ( ~ spl4_3
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f69,f42,f32]) ).

thf(f32,plain,
    ( spl4_3
  <=> ( $true
      = ( cR @ sK1 @ z ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

thf(f42,plain,
    ( spl4_5
  <=> ( ( cR @ sK3 @ z )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

thf(f69,plain,
    ( ( $true
     != ( cR @ sK1 @ z ) )
    | ~ spl4_5 ),
    inference(trivial_inequality_removal,[],[f68]) ).

thf(f68,plain,
    ( ( $true
     != ( cR @ sK1 @ z ) )
    | ( $true != $true )
    | ~ spl4_5 ),
    inference(superposition,[],[f49,f44]) ).

thf(f44,plain,
    ( ( ( cR @ sK3 @ z )
      = $true )
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f42]) ).

thf(f49,plain,
    ! [X0: a] :
      ( ( ( cR @ sK3 @ X0 )
       != $true )
      | ( ( cR @ sK1 @ X0 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f48]) ).

thf(f48,plain,
    ! [X0: a] :
      ( ( ( cR @ sK1 @ X0 )
       != $true )
      | ( $true != $true )
      | ( ( cR @ sK3 @ X0 )
       != $true ) ),
    inference(superposition,[],[f13,f18]) ).

thf(f18,plain,
    ! [X10: a,X11: a,X9: a] :
      ( ( $true
        = ( cR @ X9 @ X11 ) )
      | ( ( cR @ X11 @ X10 )
       != $true )
      | ( ( cR @ X9 @ X10 )
       != $true ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f12,plain,
    ( ! [X0: b,X1: b,X2: a] :
        ( ( ( f @ X2 @ X1 )
         != $true )
        | ( ( f @ X2 @ X0 )
         != $true )
        | ( $true
          = ( cS @ X1 @ X0 ) ) )
    & ! [X3: a,X4: a,X5: b] :
        ( ( ( cR @ X3 @ X4 )
          = $true )
        | ( ( f @ X3 @ X5 )
         != $true )
        | ( ( f @ X4 @ X5 )
         != $true ) )
    & ! [X6: a] :
        ( ( cR @ X6 @ X6 )
        = $true )
    & ! [X7: a] :
        ( ( f @ X7 @ ( sK0 @ X7 ) )
        = $true )
    & ! [X9: a,X10: a,X11: a] :
        ( ( $true
          = ( cR @ X9 @ X11 ) )
        | ( ( cR @ X11 @ X10 )
         != $true )
        | ( ( cR @ X9 @ X10 )
         != $true ) )
    & ! [X15: a] :
        ( ( ( f @ sK3 @ sK2 )
          = $true )
        | ( ( $true
           != ( f @ X15 @ sK2 ) )
          & ( ( cR @ sK3 @ z )
            = $true ) ) )
    & ! [X16: a] :
        ( ( ( f @ sK1 @ sK2 )
          = $true )
        | ( ( $true
            = ( cR @ sK1 @ z ) )
          & ( ( f @ X16 @ sK2 )
           != $true ) ) )
    & ( ( cR @ sK3 @ sK1 )
     != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f11,f10]) ).

thf(f10,plain,
    ! [X7: a] :
      ( ? [X8: b] :
          ( $true
          = ( f @ X7 @ X8 ) )
     => ( ( f @ X7 @ ( sK0 @ X7 ) )
        = $true ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X12: a,X13: b,X14: a] :
        ( ! [X15: a] :
            ( ( ( f @ X14 @ X13 )
              = $true )
            | ( ( $true
               != ( f @ X15 @ X13 ) )
              & ( ( cR @ X14 @ z )
                = $true ) ) )
        & ! [X16: a] :
            ( ( $true
              = ( f @ X12 @ X13 ) )
            | ( ( ( cR @ X12 @ z )
                = $true )
              & ( ( f @ X16 @ X13 )
               != $true ) ) )
        & ( ( cR @ X14 @ X12 )
         != $true ) )
   => ( ! [X15: a] :
          ( ( ( f @ sK3 @ sK2 )
            = $true )
          | ( ( $true
             != ( f @ X15 @ sK2 ) )
            & ( ( cR @ sK3 @ z )
              = $true ) ) )
      & ! [X16: a] :
          ( ( ( f @ sK1 @ sK2 )
            = $true )
          | ( ( $true
              = ( cR @ sK1 @ z ) )
            & ( ( f @ X16 @ sK2 )
             != $true ) ) )
      & ( ( cR @ sK3 @ sK1 )
       != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f9,plain,
    ( ! [X0: b,X1: b,X2: a] :
        ( ( ( f @ X2 @ X1 )
         != $true )
        | ( ( f @ X2 @ X0 )
         != $true )
        | ( $true
          = ( cS @ X1 @ X0 ) ) )
    & ! [X3: a,X4: a,X5: b] :
        ( ( ( cR @ X3 @ X4 )
          = $true )
        | ( ( f @ X3 @ X5 )
         != $true )
        | ( ( f @ X4 @ X5 )
         != $true ) )
    & ! [X6: a] :
        ( ( cR @ X6 @ X6 )
        = $true )
    & ! [X7: a] :
      ? [X8: b] :
        ( $true
        = ( f @ X7 @ X8 ) )
    & ! [X9: a,X10: a,X11: a] :
        ( ( $true
          = ( cR @ X9 @ X11 ) )
        | ( ( cR @ X11 @ X10 )
         != $true )
        | ( ( cR @ X9 @ X10 )
         != $true ) )
    & ? [X12: a,X13: b,X14: a] :
        ( ! [X15: a] :
            ( ( ( f @ X14 @ X13 )
              = $true )
            | ( ( $true
               != ( f @ X15 @ X13 ) )
              & ( ( cR @ X14 @ z )
                = $true ) ) )
        & ! [X16: a] :
            ( ( $true
              = ( f @ X12 @ X13 ) )
            | ( ( ( cR @ X12 @ z )
                = $true )
              & ( ( f @ X16 @ X13 )
               != $true ) ) )
        & ( ( cR @ X14 @ X12 )
         != $true ) ) ),
    inference(rectify,[],[f8]) ).

thf(f8,plain,
    ( ! [X9: b,X10: b,X11: a] :
        ( ( $true
         != ( f @ X11 @ X10 ) )
        | ( $true
         != ( f @ X11 @ X9 ) )
        | ( ( cS @ X10 @ X9 )
          = $true ) )
    & ! [X6: a,X7: a,X8: b] :
        ( ( ( cR @ X6 @ X7 )
          = $true )
        | ( ( f @ X6 @ X8 )
         != $true )
        | ( $true
         != ( f @ X7 @ X8 ) ) )
    & ! [X0: a] :
        ( ( cR @ X0 @ X0 )
        = $true )
    & ! [X4: a] :
      ? [X5: b] :
        ( ( f @ X4 @ X5 )
        = $true )
    & ! [X2: a,X1: a,X3: a] :
        ( ( ( cR @ X2 @ X3 )
          = $true )
        | ( ( cR @ X3 @ X1 )
         != $true )
        | ( ( cR @ X2 @ X1 )
         != $true ) )
    & ? [X14: a,X12: b,X13: a] :
        ( ! [X15: a] :
            ( ( ( f @ X13 @ X12 )
              = $true )
            | ( ( ( f @ X15 @ X12 )
               != $true )
              & ( ( cR @ X13 @ z )
                = $true ) ) )
        & ! [X16: a] :
            ( ( ( f @ X14 @ X12 )
              = $true )
            | ( ( ( cR @ X14 @ z )
                = $true )
              & ( $true
               != ( f @ X16 @ X12 ) ) ) )
        & ( ( cR @ X13 @ X14 )
         != $true ) ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ( ? [X13: a,X14: a,X12: b] :
        ( ( ( cR @ X13 @ X14 )
         != $true )
        & ! [X15: a] :
            ( ( ( f @ X13 @ X12 )
              = $true )
            | ( ( ( f @ X15 @ X12 )
               != $true )
              & ( ( cR @ X13 @ z )
                = $true ) ) )
        & ! [X16: a] :
            ( ( ( f @ X14 @ X12 )
              = $true )
            | ( ( ( cR @ X14 @ z )
                = $true )
              & ( $true
               != ( f @ X16 @ X12 ) ) ) ) )
    & ! [X10: b,X9: b,X11: a] :
        ( ( ( cS @ X10 @ X9 )
          = $true )
        | ( $true
         != ( f @ X11 @ X10 ) )
        | ( $true
         != ( f @ X11 @ X9 ) ) )
    & ! [X4: a] :
      ? [X5: b] :
        ( ( f @ X4 @ X5 )
        = $true )
    & ! [X8: b,X7: a,X6: a] :
        ( ( ( cR @ X6 @ X7 )
          = $true )
        | ( ( f @ X6 @ X8 )
         != $true )
        | ( $true
         != ( f @ X7 @ X8 ) ) )
    & ! [X2: a,X1: a,X3: a] :
        ( ( ( cR @ X2 @ X3 )
          = $true )
        | ( ( cR @ X2 @ X1 )
         != $true )
        | ( ( cR @ X3 @ X1 )
         != $true ) )
    & ! [X0: a] :
        ( ( cR @ X0 @ X0 )
        = $true ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ( ( ! [X2: a,X1: a,X3: a] :
            ( ( ( ( cR @ X2 @ X1 )
                = $true )
              & ( ( cR @ X3 @ X1 )
                = $true ) )
           => ( ( cR @ X2 @ X3 )
              = $true ) )
        & ! [X0: a] :
            ( ( cR @ X0 @ X0 )
            = $true ) )
     => ( ( ! [X10: b,X9: b,X11: a] :
              ( ( ( $true
                  = ( f @ X11 @ X10 ) )
                & ( $true
                  = ( f @ X11 @ X9 ) ) )
             => ( ( cS @ X10 @ X9 )
                = $true ) )
          & ! [X4: a] :
            ? [X5: b] :
              ( ( f @ X4 @ X5 )
              = $true )
          & ! [X8: b,X7: a,X6: a] :
              ( ( ( ( f @ X6 @ X8 )
                  = $true )
                & ( $true
                  = ( f @ X7 @ X8 ) ) )
             => ( ( cR @ X6 @ X7 )
                = $true ) ) )
       => ! [X13: a,X14: a,X12: b] :
            ( ( ! [X15: a] :
                  ( ( ( f @ X13 @ X12 )
                    = $true )
                  | ( ( ( f @ X15 @ X12 )
                     != $true )
                    & ( ( cR @ X13 @ z )
                      = $true ) ) )
              & ! [X16: a] :
                  ( ( ( f @ X14 @ X12 )
                    = $true )
                  | ( ( ( cR @ X14 @ z )
                      = $true )
                    & ( $true
                     != ( f @ X16 @ X12 ) ) ) ) )
           => ( ( cR @ X13 @ X14 )
              = $true ) ) ) ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ! [X2: a,X1: a,X3: a] :
            ( ( ( ( cR @ X2 @ X1 )
                = $true )
              & ( ( cR @ X3 @ X1 )
                = $true ) )
           => ( ( cR @ X2 @ X3 )
              = $true ) )
        & ! [X0: a] :
            ( ( cR @ X0 @ X0 )
            = $true ) )
     => ( ( ! [X10: b,X9: b,X11: a] :
              ( ( ( $true
                  = ( f @ X11 @ X10 ) )
                & ( $true
                  = ( f @ X11 @ X9 ) ) )
             => ( ( cS @ X10 @ X9 )
                = $true ) )
          & ! [X4: a] :
            ? [X5: b] :
              ( ( f @ X4 @ X5 )
              = $true )
          & ! [X8: b,X7: a,X6: a] :
              ( ( ( ( f @ X6 @ X8 )
                  = $true )
                & ( $true
                  = ( f @ X7 @ X8 ) ) )
             => ( ( cR @ X6 @ X7 )
                = $true ) ) )
       => ! [X12: b,X13: a,X14: a] :
            ( ( ! [X15: a] :
                  ( ( ( f @ X13 @ X12 )
                    = $true )
                  | ( ( ( cR @ X13 @ z )
                      = $true )
                    & ( ( f @ X15 @ X12 )
                     != $true ) ) )
              & ! [X16: a] :
                  ( ( ( ( cR @ X14 @ z )
                      = $true )
                    & ( $true
                     != ( f @ X16 @ X12 ) ) )
                  | ( ( f @ X14 @ X12 )
                    = $true ) ) )
           => ( ( cR @ X13 @ X14 )
              = $true ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ! [X0: a] : ( cR @ X0 @ X0 )
        & ! [X1: a,X2: a,X3: a] :
            ( ( ( cR @ X2 @ X1 )
              & ( cR @ X3 @ X1 ) )
           => ( cR @ X2 @ X3 ) ) )
     => ( ( ! [X4: a] :
            ? [X5: b] : ( f @ X4 @ X5 )
          & ! [X6: a,X7: a,X8: b] :
              ( ( ( f @ X7 @ X8 )
                & ( f @ X6 @ X8 ) )
             => ( cR @ X6 @ X7 ) )
          & ! [X9: b,X10: b,X11: a] :
              ( ( ( f @ X11 @ X9 )
                & ( f @ X11 @ X10 ) )
             => ( cS @ X10 @ X9 ) ) )
       => ! [X12: b,X13: a,X14: a] :
            ( ( ! [X15: a] :
                  ( ( f @ X13 @ X12 )
                  | ( ( cR @ X13 @ z )
                    & ~ ( f @ X15 @ X12 ) ) )
              & ! [X16: a] :
                  ( ( ( cR @ X14 @ z )
                    & ~ ( f @ X16 @ X12 ) )
                  | ( f @ X14 @ X12 ) ) )
           => ( cR @ X13 @ X14 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ! [X3: a] : ( cR @ X3 @ X3 )
        & ! [X1: a,X0: a,X2: a] :
            ( ( ( cR @ X0 @ X1 )
              & ( cR @ X2 @ X1 ) )
           => ( cR @ X0 @ X2 ) ) )
     => ( ( ! [X3: a] :
            ? [X4: b] : ( f @ X3 @ X4 )
          & ! [X7: a,X8: a,X4: b] :
              ( ( ( f @ X8 @ X4 )
                & ( f @ X7 @ X4 ) )
             => ( cR @ X7 @ X8 ) )
          & ! [X6: b,X5: b,X3: a] :
              ( ( ( f @ X3 @ X6 )
                & ( f @ X3 @ X5 ) )
             => ( cS @ X5 @ X6 ) ) )
       => ! [X4: b,X7: a,X8: a] :
            ( ( ! [X2: a] :
                  ( ( f @ X7 @ X4 )
                  | ( ( cR @ X7 @ z )
                    & ~ ( f @ X2 @ X4 ) ) )
              & ! [X2: a] :
                  ( ( ( cR @ X8 @ z )
                    & ~ ( f @ X2 @ X4 ) )
                  | ( f @ X8 @ X4 ) ) )
           => ( cR @ X7 @ X8 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ! [X3: a] : ( cR @ X3 @ X3 )
      & ! [X1: a,X0: a,X2: a] :
          ( ( ( cR @ X0 @ X1 )
            & ( cR @ X2 @ X1 ) )
         => ( cR @ X0 @ X2 ) ) )
   => ( ( ! [X3: a] :
          ? [X4: b] : ( f @ X3 @ X4 )
        & ! [X7: a,X8: a,X4: b] :
            ( ( ( f @ X8 @ X4 )
              & ( f @ X7 @ X4 ) )
           => ( cR @ X7 @ X8 ) )
        & ! [X6: b,X5: b,X3: a] :
            ( ( ( f @ X3 @ X6 )
              & ( f @ X3 @ X5 ) )
           => ( cS @ X5 @ X6 ) ) )
     => ! [X4: b,X7: a,X8: a] :
          ( ( ! [X2: a] :
                ( ( f @ X7 @ X4 )
                | ( ( cR @ X7 @ z )
                  & ~ ( f @ X2 @ X4 ) ) )
            & ! [X2: a] :
                ( ( ( cR @ X8 @ z )
                  & ~ ( f @ X2 @ X4 ) )
                | ( f @ X8 @ X4 ) ) )
         => ( cR @ X7 @ X8 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM552D_pme) ).

thf(f13,plain,
    ( ( cR @ sK3 @ sK1 )
   != $true ),
    inference(cnf_transformation,[],[f12]) ).

thf(f67,plain,
    ( ~ spl4_1
    | ~ spl4_4 ),
    inference(avatar_contradiction_clause,[],[f66]) ).

thf(f66,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f65,f39]) ).

thf(f39,plain,
    ( ( ( f @ sK3 @ sK2 )
      = $true )
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f37]) ).

thf(f37,plain,
    ( spl4_4
  <=> ( ( f @ sK3 @ sK2 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

thf(f65,plain,
    ( ( ( f @ sK3 @ sK2 )
     != $true )
    | ~ spl4_1 ),
    inference(trivial_inequality_removal,[],[f62]) ).

thf(f62,plain,
    ( ( ( f @ sK3 @ sK2 )
     != $true )
    | ( $true != $true )
    | ~ spl4_1 ),
    inference(superposition,[],[f51,f26]) ).

thf(f51,plain,
    ! [X0: b] :
      ( ( $true
       != ( f @ sK1 @ X0 ) )
      | ( ( f @ sK3 @ X0 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f50]) ).

thf(f50,plain,
    ! [X0: b] :
      ( ( $true
       != ( f @ sK1 @ X0 ) )
      | ( ( f @ sK3 @ X0 )
       != $true )
      | ( $true != $true ) ),
    inference(superposition,[],[f13,f21]) ).

thf(f21,plain,
    ! [X3: a,X4: a,X5: b] :
      ( ( ( cR @ X3 @ X4 )
        = $true )
      | ( ( f @ X3 @ X5 )
       != $true )
      | ( ( f @ X4 @ X5 )
       != $true ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f47,plain,
    ( ~ spl4_2
    | ~ spl4_4 ),
    inference(avatar_contradiction_clause,[],[f46]) ).

thf(f46,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f39,f29]) ).

thf(f45,plain,
    ( spl4_5
    | spl4_4 ),
    inference(avatar_split_clause,[],[f16,f37,f42]) ).

thf(f16,plain,
    ( ( ( f @ sK3 @ sK2 )
      = $true )
    | ( ( cR @ sK3 @ z )
      = $true ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f40,plain,
    ( spl4_4
    | spl4_2 ),
    inference(avatar_split_clause,[],[f17,f28,f37]) ).

thf(f17,plain,
    ! [X15: a] :
      ( ( ( f @ sK3 @ sK2 )
        = $true )
      | ( $true
       != ( f @ X15 @ sK2 ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f35,plain,
    ( spl4_3
    | spl4_1 ),
    inference(avatar_split_clause,[],[f15,f24,f32]) ).

thf(f15,plain,
    ( ( ( f @ sK1 @ sK2 )
      = $true )
    | ( $true
      = ( cR @ sK1 @ z ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f30,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f14,f28,f24]) ).

thf(f14,plain,
    ! [X16: a] :
      ( ( ( f @ sK1 @ sK2 )
        = $true )
      | ( ( f @ X16 @ sK2 )
       != $true ) ),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEV104^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12  % Command    : run_vampire %s %d THM
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri Jun 21 19:29:09 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.35  This is a TH0_THM_NEQ_NAR problem
% 0.11/0.35  Running higher-order theorem proving
% 0.11/0.35  Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.11/0.37  % (24581)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)
% 0.11/0.37  % (24580)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.37  % (24582)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)
% 0.11/0.37  % (24583)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.37  % (24584)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)
% 0.11/0.37  % (24585)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)
% 0.11/0.37  % (24586)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.37  % (24583)Instruction limit reached!
% 0.11/0.37  % (24583)------------------------------
% 0.11/0.37  % (24583)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37  % (24584)Instruction limit reached!
% 0.11/0.37  % (24584)------------------------------
% 0.11/0.37  % (24584)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37  % (24584)Termination reason: Unknown
% 0.11/0.37  % (24584)Termination phase: shuffling
% 0.11/0.37  
% 0.11/0.37  % (24584)Memory used [KB]: 895
% 0.11/0.37  % (24584)Time elapsed: 0.003 s
% 0.11/0.37  % (24584)Instructions burned: 2 (million)
% 0.11/0.37  % (24584)------------------------------
% 0.11/0.37  % (24584)------------------------------
% 0.11/0.37  % (24583)Termination reason: Unknown
% 0.11/0.37  % (24583)Termination phase: Naming
% 0.11/0.37  
% 0.11/0.37  % (24583)Memory used [KB]: 895
% 0.11/0.37  % (24583)Time elapsed: 0.003 s
% 0.11/0.37  % (24583)Instructions burned: 2 (million)
% 0.11/0.37  % (24583)------------------------------
% 0.11/0.37  % (24583)------------------------------
% 0.11/0.37  % (24581)Instruction limit reached!
% 0.11/0.37  % (24581)------------------------------
% 0.11/0.37  % (24581)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37  % (24581)Termination reason: Unknown
% 0.11/0.37  % (24581)Termination phase: Saturation
% 0.11/0.37  
% 0.11/0.37  % (24581)Memory used [KB]: 5500
% 0.11/0.37  % (24581)Time elapsed: 0.006 s
% 0.11/0.37  % (24581)Instructions burned: 4 (million)
% 0.11/0.37  % (24581)------------------------------
% 0.11/0.37  % (24581)------------------------------
% 0.11/0.38  % (24585)First to succeed.
% 0.11/0.38  % (24580)Also succeeded, but the first one will report.
% 0.11/0.38  % (24585)Refutation found. Thanks to Tanya!
% 0.11/0.38  % SZS status Theorem for theBenchmark
% 0.11/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.38  % (24585)------------------------------
% 0.11/0.38  % (24585)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.38  % (24585)Termination reason: Refutation
% 0.11/0.38  
% 0.11/0.38  % (24585)Memory used [KB]: 5628
% 0.11/0.38  % (24585)Time elapsed: 0.010 s
% 0.11/0.38  % (24585)Instructions burned: 8 (million)
% 0.11/0.38  % (24585)------------------------------
% 0.11/0.38  % (24585)------------------------------
% 0.11/0.38  % (24579)Success in time 0.016 s
%------------------------------------------------------------------------------