TSTP Solution File: SYO248^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO248^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 09:03:39 EDT 2024

% Result   : Theorem 0.20s 0.38s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   67 (  11 unt;   1 typ;   0 def)
%            Number of atoms       : 1246 ( 297 equ;   0 cnn)
%            Maximal formula atoms :   64 (  18 avg)
%            Number of connectives : 1112 ( 206   ~; 192   |;  93   &; 594   @)
%                                         (  12 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;  25 con; 0-2 aty)
%            Number of variables   :    5 (   0   ^   2   !;   3   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_15,type,
    sK0: $i > $i > $o ).

thf(f100,plain,
    $false,
    inference(avatar_sat_refutation,[],[f40,f41,f47,f48,f58,f67,f68,f74,f81,f82,f88,f95,f98]) ).

thf(f98,plain,
    ( ~ spl1_1
    | spl1_12 ),
    inference(avatar_contradiction_clause,[],[f97]) ).

thf(f97,plain,
    ( $false
    | ~ spl1_1
    | spl1_12 ),
    inference(subsumption_resolution,[],[f96,f80]) ).

thf(f80,plain,
    ( ( ( sK0 @ d )
     != ( sK0 @ e ) )
    | spl1_12 ),
    inference(avatar_component_clause,[],[f78]) ).

thf(f78,plain,
    ( spl1_12
  <=> ( ( sK0 @ d )
      = ( sK0 @ e ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).

thf(f96,plain,
    ( ( ( sK0 @ d )
      = ( sK0 @ e ) )
    | ~ spl1_1 ),
    inference(forward_demodulation,[],[f23,f15]) ).

thf(f15,plain,
    ( ( sK0 @ ee )
    = ( sK0 @ e ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( ( ( ( sK0 @ dd )
       != ( sK0 @ d ) )
      | ( ( sK0 @ b )
        = ( sK0 @ cc ) )
      | ( ( sK0 @ hh )
        = ( sK0 @ e ) )
      | ( ( sK0 @ aa )
       != ( sK0 @ a ) ) )
    & ( ( ( sK0 @ hh )
       != ( sK0 @ e ) )
      | ( ( sK0 @ dd )
        = ( sK0 @ c ) )
      | ( ( sK0 @ b )
       != ( sK0 @ bb ) )
      | ( ( sK0 @ aa )
       != ( sK0 @ a ) ) )
    & ( ( sK0 @ dd )
      = ( sK0 @ d ) )
    & ( ( sK0 @ hh )
      = ( sK0 @ h ) )
    & ( ( sK0 @ ee )
      = ( sK0 @ e ) )
    & ( ( ( sK0 @ d )
       != ( sK0 @ ee ) )
      | ( ( sK0 @ hh )
       != ( sK0 @ h ) )
      | ( ( sK0 @ aa )
       != ( sK0 @ a ) )
      | ( ( sK0 @ b )
       != ( sK0 @ cc ) ) )
    & ( ( ( sK0 @ bb )
        = ( sK0 @ a ) )
      | ( ( sK0 @ dd )
       != ( sK0 @ d ) )
      | ( ( sK0 @ hh )
       != ( sK0 @ e ) )
      | ( ( sK0 @ c )
       != ( sK0 @ cc ) )
      | ( ( sK0 @ d )
       != ( sK0 @ cc ) ) )
    & ( ( sK0 @ aa )
      = ( sK0 @ a ) )
    & ( ( sK0 @ b )
      = ( sK0 @ bb ) )
    & ( ( sK0 @ c )
      = ( sK0 @ cc ) )
    & ( ( ( sK0 @ hh )
       != ( sK0 @ h ) )
      | ( ( sK0 @ ee )
       != ( sK0 @ e ) )
      | ( ( sK0 @ dd )
       != ( sK0 @ c ) )
      | ( ( sK0 @ bb )
       != ( sK0 @ a ) ) )
    & ( ( ( sK0 @ hh )
        = ( sK0 @ e ) )
      | ( ( sK0 @ b )
       != ( sK0 @ bb ) )
      | ( ( sK0 @ c )
       != ( sK0 @ cc ) )
      | ( ( sK0 @ d )
        = ( sK0 @ ee ) )
      | ( ( sK0 @ bb )
       != ( sK0 @ c ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

thf(f6,plain,
    ( ? [X0: $i > $i > $o] :
        ( ( ( ( X0 @ dd )
           != ( X0 @ d ) )
          | ( ( X0 @ b )
            = ( X0 @ cc ) )
          | ( ( X0 @ e )
            = ( X0 @ hh ) )
          | ( ( X0 @ a )
           != ( X0 @ aa ) ) )
        & ( ( ( X0 @ e )
           != ( X0 @ hh ) )
          | ( ( X0 @ c )
            = ( X0 @ dd ) )
          | ( ( X0 @ b )
           != ( X0 @ bb ) )
          | ( ( X0 @ a )
           != ( X0 @ aa ) ) )
        & ( ( X0 @ dd )
          = ( X0 @ d ) )
        & ( ( X0 @ hh )
          = ( X0 @ h ) )
        & ( ( X0 @ e )
          = ( X0 @ ee ) )
        & ( ( ( X0 @ d )
           != ( X0 @ ee ) )
          | ( ( X0 @ hh )
           != ( X0 @ h ) )
          | ( ( X0 @ a )
           != ( X0 @ aa ) )
          | ( ( X0 @ b )
           != ( X0 @ cc ) ) )
        & ( ( ( X0 @ a )
            = ( X0 @ bb ) )
          | ( ( X0 @ dd )
           != ( X0 @ d ) )
          | ( ( X0 @ e )
           != ( X0 @ hh ) )
          | ( ( X0 @ c )
           != ( X0 @ cc ) )
          | ( ( X0 @ cc )
           != ( X0 @ d ) ) )
        & ( ( X0 @ a )
          = ( X0 @ aa ) )
        & ( ( X0 @ b )
          = ( X0 @ bb ) )
        & ( ( X0 @ c )
          = ( X0 @ cc ) )
        & ( ( ( X0 @ hh )
           != ( X0 @ h ) )
          | ( ( X0 @ e )
           != ( X0 @ ee ) )
          | ( ( X0 @ c )
           != ( X0 @ dd ) )
          | ( ( X0 @ a )
           != ( X0 @ bb ) ) )
        & ( ( ( X0 @ e )
            = ( X0 @ hh ) )
          | ( ( X0 @ b )
           != ( X0 @ bb ) )
          | ( ( X0 @ c )
           != ( X0 @ cc ) )
          | ( ( X0 @ d )
            = ( X0 @ ee ) )
          | ( ( X0 @ bb )
           != ( X0 @ c ) ) ) )
   => ( ( ( ( sK0 @ dd )
         != ( sK0 @ d ) )
        | ( ( sK0 @ b )
          = ( sK0 @ cc ) )
        | ( ( sK0 @ hh )
          = ( sK0 @ e ) )
        | ( ( sK0 @ aa )
         != ( sK0 @ a ) ) )
      & ( ( ( sK0 @ hh )
         != ( sK0 @ e ) )
        | ( ( sK0 @ dd )
          = ( sK0 @ c ) )
        | ( ( sK0 @ b )
         != ( sK0 @ bb ) )
        | ( ( sK0 @ aa )
         != ( sK0 @ a ) ) )
      & ( ( sK0 @ dd )
        = ( sK0 @ d ) )
      & ( ( sK0 @ hh )
        = ( sK0 @ h ) )
      & ( ( sK0 @ ee )
        = ( sK0 @ e ) )
      & ( ( ( sK0 @ d )
         != ( sK0 @ ee ) )
        | ( ( sK0 @ hh )
         != ( sK0 @ h ) )
        | ( ( sK0 @ aa )
         != ( sK0 @ a ) )
        | ( ( sK0 @ b )
         != ( sK0 @ cc ) ) )
      & ( ( ( sK0 @ bb )
          = ( sK0 @ a ) )
        | ( ( sK0 @ dd )
         != ( sK0 @ d ) )
        | ( ( sK0 @ hh )
         != ( sK0 @ e ) )
        | ( ( sK0 @ c )
         != ( sK0 @ cc ) )
        | ( ( sK0 @ d )
         != ( sK0 @ cc ) ) )
      & ( ( sK0 @ aa )
        = ( sK0 @ a ) )
      & ( ( sK0 @ b )
        = ( sK0 @ bb ) )
      & ( ( sK0 @ c )
        = ( sK0 @ cc ) )
      & ( ( ( sK0 @ hh )
         != ( sK0 @ h ) )
        | ( ( sK0 @ ee )
         != ( sK0 @ e ) )
        | ( ( sK0 @ dd )
         != ( sK0 @ c ) )
        | ( ( sK0 @ bb )
         != ( sK0 @ a ) ) )
      & ( ( ( sK0 @ hh )
          = ( sK0 @ e ) )
        | ( ( sK0 @ b )
         != ( sK0 @ bb ) )
        | ( ( sK0 @ c )
         != ( sK0 @ cc ) )
        | ( ( sK0 @ d )
          = ( sK0 @ ee ) )
        | ( ( sK0 @ bb )
         != ( sK0 @ c ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f5,plain,
    ? [X0: $i > $i > $o] :
      ( ( ( ( X0 @ dd )
         != ( X0 @ d ) )
        | ( ( X0 @ b )
          = ( X0 @ cc ) )
        | ( ( X0 @ e )
          = ( X0 @ hh ) )
        | ( ( X0 @ a )
         != ( X0 @ aa ) ) )
      & ( ( ( X0 @ e )
         != ( X0 @ hh ) )
        | ( ( X0 @ c )
          = ( X0 @ dd ) )
        | ( ( X0 @ b )
         != ( X0 @ bb ) )
        | ( ( X0 @ a )
         != ( X0 @ aa ) ) )
      & ( ( X0 @ dd )
        = ( X0 @ d ) )
      & ( ( X0 @ hh )
        = ( X0 @ h ) )
      & ( ( X0 @ e )
        = ( X0 @ ee ) )
      & ( ( ( X0 @ d )
         != ( X0 @ ee ) )
        | ( ( X0 @ hh )
         != ( X0 @ h ) )
        | ( ( X0 @ a )
         != ( X0 @ aa ) )
        | ( ( X0 @ b )
         != ( X0 @ cc ) ) )
      & ( ( ( X0 @ a )
          = ( X0 @ bb ) )
        | ( ( X0 @ dd )
         != ( X0 @ d ) )
        | ( ( X0 @ e )
         != ( X0 @ hh ) )
        | ( ( X0 @ c )
         != ( X0 @ cc ) )
        | ( ( X0 @ cc )
         != ( X0 @ d ) ) )
      & ( ( X0 @ a )
        = ( X0 @ aa ) )
      & ( ( X0 @ b )
        = ( X0 @ bb ) )
      & ( ( X0 @ c )
        = ( X0 @ cc ) )
      & ( ( ( X0 @ hh )
         != ( X0 @ h ) )
        | ( ( X0 @ e )
         != ( X0 @ ee ) )
        | ( ( X0 @ c )
         != ( X0 @ dd ) )
        | ( ( X0 @ a )
         != ( X0 @ bb ) ) )
      & ( ( ( X0 @ e )
          = ( X0 @ hh ) )
        | ( ( X0 @ b )
         != ( X0 @ bb ) )
        | ( ( X0 @ c )
         != ( X0 @ cc ) )
        | ( ( X0 @ d )
          = ( X0 @ ee ) )
        | ( ( X0 @ bb )
         != ( X0 @ c ) ) ) ),
    inference(flattening,[],[f4]) ).

thf(f4,plain,
    ? [X0: $i > $i > $o] :
      ( ( ( X0 @ a )
        = ( X0 @ aa ) )
      & ( ( X0 @ c )
        = ( X0 @ cc ) )
      & ( ( X0 @ dd )
        = ( X0 @ d ) )
      & ( ( X0 @ e )
        = ( X0 @ ee ) )
      & ( ( X0 @ hh )
        = ( X0 @ h ) )
      & ( ( X0 @ b )
        = ( X0 @ bb ) )
      & ( ( ( X0 @ d )
         != ( X0 @ ee ) )
        | ( ( X0 @ a )
         != ( X0 @ aa ) )
        | ( ( X0 @ b )
         != ( X0 @ cc ) )
        | ( ( X0 @ hh )
         != ( X0 @ h ) ) )
      & ( ( ( X0 @ e )
         != ( X0 @ hh ) )
        | ( ( X0 @ dd )
         != ( X0 @ d ) )
        | ( ( X0 @ cc )
         != ( X0 @ d ) )
        | ( ( X0 @ c )
         != ( X0 @ cc ) )
        | ( ( X0 @ a )
          = ( X0 @ bb ) ) )
      & ( ( ( X0 @ a )
         != ( X0 @ bb ) )
        | ( ( X0 @ c )
         != ( X0 @ dd ) )
        | ( ( X0 @ hh )
         != ( X0 @ h ) )
        | ( ( X0 @ e )
         != ( X0 @ ee ) ) )
      & ( ( ( X0 @ d )
          = ( X0 @ ee ) )
        | ( ( X0 @ bb )
         != ( X0 @ c ) )
        | ( ( X0 @ b )
         != ( X0 @ bb ) )
        | ( ( X0 @ e )
          = ( X0 @ hh ) )
        | ( ( X0 @ c )
         != ( X0 @ cc ) ) )
      & ( ( ( X0 @ e )
          = ( X0 @ hh ) )
        | ( ( X0 @ a )
         != ( X0 @ aa ) )
        | ( ( X0 @ dd )
         != ( X0 @ d ) )
        | ( ( X0 @ b )
          = ( X0 @ cc ) ) )
      & ( ( ( X0 @ c )
          = ( X0 @ dd ) )
        | ( ( X0 @ e )
         != ( X0 @ hh ) )
        | ( ( X0 @ a )
         != ( X0 @ aa ) )
        | ( ( X0 @ b )
         != ( X0 @ bb ) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X0: $i > $i > $o] :
        ( ( ( ( ( ( X0 @ a )
                = ( X0 @ aa ) )
              & ( ( X0 @ b )
                = ( X0 @ cc ) )
              & ( ( X0 @ hh )
                = ( X0 @ h ) ) )
           => ( ( X0 @ d )
             != ( X0 @ ee ) ) )
          & ( ( ( ( X0 @ dd )
                = ( X0 @ d ) )
              & ( ( X0 @ cc )
                = ( X0 @ d ) )
              & ( ( X0 @ c )
                = ( X0 @ cc ) )
              & ( ( X0 @ a )
               != ( X0 @ bb ) ) )
           => ( ( X0 @ e )
             != ( X0 @ hh ) ) )
          & ( ( ( ( X0 @ c )
                = ( X0 @ dd ) )
              & ( ( X0 @ hh )
                = ( X0 @ h ) )
              & ( ( X0 @ e )
                = ( X0 @ ee ) ) )
           => ( ( X0 @ a )
             != ( X0 @ bb ) ) )
          & ( ( ( ( X0 @ bb )
                = ( X0 @ c ) )
              & ( ( X0 @ b )
                = ( X0 @ bb ) )
              & ( ( X0 @ e )
               != ( X0 @ hh ) )
              & ( ( X0 @ c )
                = ( X0 @ cc ) ) )
           => ( ( X0 @ d )
              = ( X0 @ ee ) ) )
          & ( ( ( ( X0 @ a )
                = ( X0 @ aa ) )
              & ( ( X0 @ dd )
                = ( X0 @ d ) )
              & ( ( X0 @ b )
               != ( X0 @ cc ) ) )
           => ( ( X0 @ e )
              = ( X0 @ hh ) ) )
          & ( ( ( ( X0 @ e )
                = ( X0 @ hh ) )
              & ( ( X0 @ a )
                = ( X0 @ aa ) )
              & ( ( X0 @ b )
                = ( X0 @ bb ) ) )
           => ( ( X0 @ c )
              = ( X0 @ dd ) ) ) )
       => ( ( ( X0 @ a )
           != ( X0 @ aa ) )
          | ( ( X0 @ c )
           != ( X0 @ cc ) )
          | ( ( X0 @ dd )
           != ( X0 @ d ) )
          | ( ( X0 @ e )
           != ( X0 @ ee ) )
          | ( ( X0 @ hh )
           != ( X0 @ h ) )
          | ( ( X0 @ b )
           != ( X0 @ bb ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X0: $i > $i > $o] :
      ( ( ( ( ( ( X0 @ a )
              = ( X0 @ aa ) )
            & ( ( X0 @ b )
              = ( X0 @ cc ) )
            & ( ( X0 @ hh )
              = ( X0 @ h ) ) )
         => ( ( X0 @ d )
           != ( X0 @ ee ) ) )
        & ( ( ( ( X0 @ dd )
              = ( X0 @ d ) )
            & ( ( X0 @ cc )
              = ( X0 @ d ) )
            & ( ( X0 @ c )
              = ( X0 @ cc ) )
            & ( ( X0 @ a )
             != ( X0 @ bb ) ) )
         => ( ( X0 @ e )
           != ( X0 @ hh ) ) )
        & ( ( ( ( X0 @ c )
              = ( X0 @ dd ) )
            & ( ( X0 @ hh )
              = ( X0 @ h ) )
            & ( ( X0 @ e )
              = ( X0 @ ee ) ) )
         => ( ( X0 @ a )
           != ( X0 @ bb ) ) )
        & ( ( ( ( X0 @ bb )
              = ( X0 @ c ) )
            & ( ( X0 @ b )
              = ( X0 @ bb ) )
            & ( ( X0 @ e )
             != ( X0 @ hh ) )
            & ( ( X0 @ c )
              = ( X0 @ cc ) ) )
         => ( ( X0 @ d )
            = ( X0 @ ee ) ) )
        & ( ( ( ( X0 @ a )
              = ( X0 @ aa ) )
            & ( ( X0 @ dd )
              = ( X0 @ d ) )
            & ( ( X0 @ b )
             != ( X0 @ cc ) ) )
         => ( ( X0 @ e )
            = ( X0 @ hh ) ) )
        & ( ( ( ( X0 @ e )
              = ( X0 @ hh ) )
            & ( ( X0 @ a )
              = ( X0 @ aa ) )
            & ( ( X0 @ b )
              = ( X0 @ bb ) ) )
         => ( ( X0 @ c )
            = ( X0 @ dd ) ) ) )
     => ( ( ( X0 @ a )
         != ( X0 @ aa ) )
        | ( ( X0 @ c )
         != ( X0 @ cc ) )
        | ( ( X0 @ dd )
         != ( X0 @ d ) )
        | ( ( X0 @ e )
         != ( X0 @ ee ) )
        | ( ( X0 @ hh )
         != ( X0 @ h ) )
        | ( ( X0 @ b )
         != ( X0 @ bb ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSIXFRIENDS_AGAIN) ).

thf(f23,plain,
    ( ( ( sK0 @ d )
      = ( sK0 @ ee ) )
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f21]) ).

thf(f21,plain,
    ( spl1_1
  <=> ( ( sK0 @ d )
      = ( sK0 @ ee ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

thf(f95,plain,
    ( ~ spl1_2
    | ~ spl1_4
    | spl1_5
    | ~ spl1_8 ),
    inference(avatar_contradiction_clause,[],[f94]) ).

thf(f94,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_4
    | spl1_5
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f93,f91]) ).

thf(f91,plain,
    ( ( ( sK0 @ bb )
      = ( sK0 @ cc ) )
    | ~ spl1_2
    | ~ spl1_8 ),
    inference(backward_demodulation,[],[f26,f57]) ).

thf(f57,plain,
    ( ( ( sK0 @ b )
      = ( sK0 @ cc ) )
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f55]) ).

thf(f55,plain,
    ( spl1_8
  <=> ( ( sK0 @ b )
      = ( sK0 @ cc ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

thf(f26,plain,
    ( ( ( sK0 @ b )
      = ( sK0 @ bb ) )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f25]) ).

thf(f25,plain,
    ( spl1_2
  <=> ( ( sK0 @ b )
      = ( sK0 @ bb ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

thf(f93,plain,
    ( ( ( sK0 @ bb )
     != ( sK0 @ cc ) )
    | ~ spl1_4
    | spl1_5 ),
    inference(forward_demodulation,[],[f39,f34]) ).

thf(f34,plain,
    ( ( ( sK0 @ c )
      = ( sK0 @ cc ) )
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f33]) ).

thf(f33,plain,
    ( spl1_4
  <=> ( ( sK0 @ c )
      = ( sK0 @ cc ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

thf(f39,plain,
    ( ( ( sK0 @ bb )
     != ( sK0 @ c ) )
    | spl1_5 ),
    inference(avatar_component_clause,[],[f37]) ).

thf(f37,plain,
    ( spl1_5
  <=> ( ( sK0 @ bb )
      = ( sK0 @ c ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

thf(f88,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | ~ spl1_7
    | spl1_10 ),
    inference(avatar_contradiction_clause,[],[f87]) ).

thf(f87,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_7
    | spl1_10 ),
    inference(subsumption_resolution,[],[f86,f66]) ).

thf(f66,plain,
    ( ( ( sK0 @ d )
     != ( sK0 @ cc ) )
    | spl1_10 ),
    inference(avatar_component_clause,[],[f64]) ).

thf(f64,plain,
    ( spl1_10
  <=> ( ( sK0 @ d )
      = ( sK0 @ cc ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

thf(f86,plain,
    ( ( ( sK0 @ d )
      = ( sK0 @ cc ) )
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_7 ),
    inference(forward_demodulation,[],[f85,f52]) ).

thf(f52,plain,
    ( ( ( sK0 @ dd )
      = ( sK0 @ d ) )
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f51]) ).

thf(f51,plain,
    ( spl1_7
  <=> ( ( sK0 @ dd )
      = ( sK0 @ d ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

thf(f85,plain,
    ( ( ( sK0 @ dd )
      = ( sK0 @ cc ) )
    | ~ spl1_4
    | ~ spl1_6 ),
    inference(forward_demodulation,[],[f46,f34]) ).

thf(f46,plain,
    ( ( ( sK0 @ dd )
      = ( sK0 @ c ) )
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f44]) ).

thf(f44,plain,
    ( spl1_6
  <=> ( ( sK0 @ dd )
      = ( sK0 @ c ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

thf(f82,plain,
    spl1_11,
    inference(avatar_split_clause,[],[f16,f71]) ).

thf(f71,plain,
    ( spl1_11
  <=> ( ( sK0 @ hh )
      = ( sK0 @ h ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).

thf(f16,plain,
    ( ( sK0 @ hh )
    = ( sK0 @ h ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f81,plain,
    ( ~ spl1_11
    | ~ spl1_12
    | ~ spl1_8 ),
    inference(avatar_split_clause,[],[f76,f55,f78,f71]) ).

thf(f76,plain,
    ( ( ( sK0 @ hh )
     != ( sK0 @ h ) )
    | ( ( sK0 @ d )
     != ( sK0 @ e ) )
    | ( ( sK0 @ b )
     != ( sK0 @ cc ) ) ),
    inference(forward_demodulation,[],[f75,f15]) ).

thf(f75,plain,
    ( ( ( sK0 @ hh )
     != ( sK0 @ h ) )
    | ( ( sK0 @ b )
     != ( sK0 @ cc ) )
    | ( ( sK0 @ d )
     != ( sK0 @ ee ) ) ),
    inference(subsumption_resolution,[],[f14,f12]) ).

thf(f12,plain,
    ( ( sK0 @ aa )
    = ( sK0 @ a ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f14,plain,
    ( ( ( sK0 @ aa )
     != ( sK0 @ a ) )
    | ( ( sK0 @ d )
     != ( sK0 @ ee ) )
    | ( ( sK0 @ b )
     != ( sK0 @ cc ) )
    | ( ( sK0 @ hh )
     != ( sK0 @ h ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f74,plain,
    ( ~ spl1_9
    | ~ spl1_11
    | ~ spl1_6 ),
    inference(avatar_split_clause,[],[f69,f44,f71,f60]) ).

thf(f60,plain,
    ( spl1_9
  <=> ( ( sK0 @ bb )
      = ( sK0 @ a ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

thf(f69,plain,
    ( ( ( sK0 @ hh )
     != ( sK0 @ h ) )
    | ( ( sK0 @ bb )
     != ( sK0 @ a ) )
    | ( ( sK0 @ dd )
     != ( sK0 @ c ) ) ),
    inference(subsumption_resolution,[],[f9,f15]) ).

thf(f9,plain,
    ( ( ( sK0 @ hh )
     != ( sK0 @ h ) )
    | ( ( sK0 @ dd )
     != ( sK0 @ c ) )
    | ( ( sK0 @ ee )
     != ( sK0 @ e ) )
    | ( ( sK0 @ bb )
     != ( sK0 @ a ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f68,plain,
    spl1_7,
    inference(avatar_split_clause,[],[f17,f51]) ).

thf(f17,plain,
    ( ( sK0 @ dd )
    = ( sK0 @ d ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f67,plain,
    ( ~ spl1_3
    | spl1_9
    | ~ spl1_4
    | ~ spl1_7
    | ~ spl1_10 ),
    inference(avatar_split_clause,[],[f13,f64,f51,f33,f60,f29]) ).

thf(f29,plain,
    ( spl1_3
  <=> ( ( sK0 @ hh )
      = ( sK0 @ e ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

thf(f13,plain,
    ( ( ( sK0 @ c )
     != ( sK0 @ cc ) )
    | ( ( sK0 @ d )
     != ( sK0 @ cc ) )
    | ( ( sK0 @ hh )
     != ( sK0 @ e ) )
    | ( ( sK0 @ bb )
      = ( sK0 @ a ) )
    | ( ( sK0 @ dd )
     != ( sK0 @ d ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f58,plain,
    ( ~ spl1_7
    | spl1_8
    | spl1_3 ),
    inference(avatar_split_clause,[],[f49,f29,f55,f51]) ).

thf(f49,plain,
    ( ( ( sK0 @ b )
      = ( sK0 @ cc ) )
    | ( ( sK0 @ dd )
     != ( sK0 @ d ) )
    | ( ( sK0 @ hh )
      = ( sK0 @ e ) ) ),
    inference(subsumption_resolution,[],[f19,f12]) ).

thf(f19,plain,
    ( ( ( sK0 @ hh )
      = ( sK0 @ e ) )
    | ( ( sK0 @ dd )
     != ( sK0 @ d ) )
    | ( ( sK0 @ b )
      = ( sK0 @ cc ) )
    | ( ( sK0 @ aa )
     != ( sK0 @ a ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f48,plain,
    spl1_4,
    inference(avatar_split_clause,[],[f10,f33]) ).

thf(f10,plain,
    ( ( sK0 @ c )
    = ( sK0 @ cc ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f47,plain,
    ( spl1_6
    | ~ spl1_2
    | ~ spl1_3 ),
    inference(avatar_split_clause,[],[f42,f29,f25,f44]) ).

thf(f42,plain,
    ( ( ( sK0 @ b )
     != ( sK0 @ bb ) )
    | ( ( sK0 @ dd )
      = ( sK0 @ c ) )
    | ( ( sK0 @ hh )
     != ( sK0 @ e ) ) ),
    inference(subsumption_resolution,[],[f18,f12]) ).

thf(f18,plain,
    ( ( ( sK0 @ aa )
     != ( sK0 @ a ) )
    | ( ( sK0 @ dd )
      = ( sK0 @ c ) )
    | ( ( sK0 @ hh )
     != ( sK0 @ e ) )
    | ( ( sK0 @ b )
     != ( sK0 @ bb ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f41,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f11,f25]) ).

thf(f11,plain,
    ( ( sK0 @ b )
    = ( sK0 @ bb ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f40,plain,
    ( spl1_1
    | ~ spl1_2
    | spl1_3
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(avatar_split_clause,[],[f8,f37,f33,f29,f25,f21]) ).

thf(f8,plain,
    ( ( ( sK0 @ bb )
     != ( sK0 @ c ) )
    | ( ( sK0 @ hh )
      = ( sK0 @ e ) )
    | ( ( sK0 @ b )
     != ( sK0 @ bb ) )
    | ( ( sK0 @ d )
      = ( sK0 @ ee ) )
    | ( ( sK0 @ c )
     != ( sK0 @ cc ) ) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO248^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14  % 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
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 09:08:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.36  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/benchmark/theBenchmark.p
% 0.20/0.38  % (27096)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)
% 0.20/0.38  % (27097)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.38  % (27095)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)
% 0.20/0.38  % (27099)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)
% 0.20/0.38  % (27094)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.38  % (27100)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.38  % (27097)Instruction limit reached!
% 0.20/0.38  % (27097)------------------------------
% 0.20/0.38  % (27097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38  % (27097)Termination reason: Unknown
% 0.20/0.38  % (27097)Termination phase: Preprocessing 3
% 0.20/0.38  
% 0.20/0.38  % (27097)Memory used [KB]: 895
% 0.20/0.38  % (27097)Time elapsed: 0.003 s
% 0.20/0.38  % (27097)Instructions burned: 2 (million)
% 0.20/0.38  % (27097)------------------------------
% 0.20/0.38  % (27097)------------------------------
% 0.20/0.38  % (27095)Instruction limit reached!
% 0.20/0.38  % (27095)------------------------------
% 0.20/0.38  % (27095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38  % (27095)Termination reason: Unknown
% 0.20/0.38  % (27095)Termination phase: Saturation
% 0.20/0.38  
% 0.20/0.38  % (27095)Memory used [KB]: 5500
% 0.20/0.38  % (27095)Time elapsed: 0.005 s
% 0.20/0.38  % (27095)Instructions burned: 4 (million)
% 0.20/0.38  % (27095)------------------------------
% 0.20/0.38  % (27095)------------------------------
% 0.20/0.38  % (27098)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)
% 0.20/0.38  % (27100)First to succeed.
% 0.20/0.38  % (27098)Instruction limit reached!
% 0.20/0.38  % (27098)------------------------------
% 0.20/0.38  % (27098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38  % (27098)Termination reason: Unknown
% 0.20/0.38  % (27098)Termination phase: Preprocessing 2
% 0.20/0.38  
% 0.20/0.38  % (27098)Memory used [KB]: 895
% 0.20/0.38  % (27098)Time elapsed: 0.005 s
% 0.20/0.38  % (27098)Instructions burned: 3 (million)
% 0.20/0.38  % (27098)------------------------------
% 0.20/0.38  % (27098)------------------------------
% 0.20/0.38  % (27100)Refutation found. Thanks to Tanya!
% 0.20/0.38  % SZS status Theorem for theBenchmark
% 0.20/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38  % (27100)------------------------------
% 0.20/0.38  % (27100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38  % (27100)Termination reason: Refutation
% 0.20/0.38  
% 0.20/0.38  % (27100)Memory used [KB]: 5500
% 0.20/0.38  % (27100)Time elapsed: 0.009 s
% 0.20/0.38  % (27100)Instructions burned: 6 (million)
% 0.20/0.38  % (27100)------------------------------
% 0.20/0.38  % (27100)------------------------------
% 0.20/0.38  % (27093)Success in time 0.011 s
% 0.20/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------